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		<updated>2026-04-15T13:46:49Z</updated>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:3001:_Temperature_Scales&amp;diff=353783</id>
		<title>Talk:3001: Temperature Scales</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:3001:_Temperature_Scales&amp;diff=353783"/>
				<updated>2024-10-23T17:24:15Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: &lt;/p&gt;
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Shouldn't Rankine say &amp;quot;0ºR is set to absolute zero&amp;quot;? {{unsigned ip|172.70.230.29|22:58, 21 October 2024 (UTC)}}&lt;br /&gt;
:Yep. [[Special:Contributions/162.158.186.253|162.158.186.253]] 04:38, 22 October 2024 (UTC)&lt;br /&gt;
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yo,i thought comic 3000 was anticlimactic so randall would make this one COOL but sadly not&lt;br /&gt;
Same. Hope he does something cool for 3072.[[Special:Contributions/172.69.134.225|172.69.134.225]] 23:44, 21 October 2024 (UTC)&lt;br /&gt;
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really he didn't do anything special for this either? come ON randall if you don't do something cool for comic 3072 i will &amp;lt;b&amp;gt; come to your house personally and yell at you  [[User:RadiantRainwing|RadiantRainwing]] ([[User talk:RadiantRainwing|talk]]) 23:57, 21 October 2024 (UTC)&lt;br /&gt;
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What's random about Fahrenheit? (Answer: nothing.) 0F is the freezing point of brine, 100F (or 98.7) is the human body temperature. [[Special:Contributions/172.68.54.65|172.68.54.65]] 00:00, 22 October 2024 (UTC)&lt;br /&gt;
:What concentration of brine? (And which specific salt... No, not NaCl, as you might presume but NH&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;Cl!)&lt;br /&gt;
:And body temperature varies a lot ('typically' 36.5–37.5°C or  97.7–99.5°F, though even this range is thought to be too small), across genders, individuals, time of day ''and'' which orifices/surfaces you try to measure it from. (Originally, it was set so that '''90°F''' was to be the 'best guess' of human body temperature. It gradually changed, including via various {{w|Human body temperature#Historical understanding|compounded misunderstandings}} so that the best you can say is that 100°F is arbitrarily ''slightly above'' most afebrile human body temperature measurements.)&lt;br /&gt;
:Celsius might be a bit off (arguments about triple-point or STP freezing, etc), but it still has far more physical logic to it. [[Special:Contributions/172.70.160.188|172.70.160.188]] 01:14, 22 October 2024 (UTC)&lt;br /&gt;
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Sorry, Randall, for my comfort, Fahrenheit is the least cursed. It's the best scale to use for my personal use, especially when hearing the weather report and deciding what to wear outdoors: temp in the 80's - no jacket. temp in 70's - maybe a windbreaker if it's breezy. 60's - sweater weather. 50's - medium weight coat. 40's - winter coat. 30'3 - winter coat with scarf and gloves. 20's - multiple layers. teens - stay indoors. None of the other scales provide such convenient distinctions for my daily life. Kelvin is great for astro physics or super conductivity, but useless for any common uses. Celsius is great for hanging out with the Euro crowd but still not so useful to scale my home thermostat. I judge Fahrenheit as 1.0 for cursedness. [[User:Rtanenbaum|Rtanenbaum]] ([[User talk:Rtanenbaum|talk]]) 14:19, 22 October 2024 (UTC)&lt;br /&gt;
:I conveniently use Celsius in tens, also. Negative °C: Cold; 0-10°C: Nippy; 10-20°C: Generally pleasant; 20-30°C: Too warm to exert oneself; 30°C+: ''Definitely'' too warm. [[Special:Contributions/172.70.86.205|172.70.86.205]] 15:24, 22 October 2024 (UTC)&lt;br /&gt;
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Personally, I'm most disappointed that {{w|Delisle scale}} was not represented... [[Special:Contributions/172.70.160.188|172.70.160.188]] 01:14, 22 October 2024 (UTC)&lt;br /&gt;
: I was so hoping for a {{w|Planck temperature}} quip. Like: &amp;quot;Water freezing point: 0; Water boiling point: 0; Notes: 1 = highest possible temperature (1.4E32K) where thermal radiation creates black holes; Cursedness: 0/0&amp;quot; [[Special:Contributions/162.158.164.184|162.158.164.184]] 01:27, 22 October 2024 (UTC)&lt;br /&gt;
:: Same here. Freezing is 0.000000000000000000000000000001928 and boiling is 0.0000000000000000000000000000026338. [[User:DanielLC|DanielLC]] ([[User talk:DanielLC|talk]]) 03:38, 22 October 2024 (UTC)&lt;br /&gt;
::: Wow, those are even smaller than the IEEE floating point representations of 1-1.0/3*3! [[Special:Contributions/162.158.90.109|162.158.90.109]] 03:59, 22 October 2024 (UTC)&lt;br /&gt;
:: The Planck temperature quip is definitely well deserved. Good catch! [[User:Mumingpo|Mumingpo]] ([[User talk:Mumingpo|talk]]) 17:24, 23 October 2024 (UTC)&lt;br /&gt;
I guess I was wrong in my comment on the last comic. sigh. -[[User:Psychoticpotato|P?sych??otic?pot??at???o ]] ([[User talk:Psychoticpotato|talk]]) 01:16, 22 October 2024 (UTC)&lt;br /&gt;
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It's actually spelled {{w|Wedgwood scale}}, not Wedgewood. [[User:Wilh3lm|Wilh3lm]] ([[User talk:Wilh3lm|talk]]) 01:17, 22 October 2024 (UTC)&lt;br /&gt;
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I still call the modern version of the &amp;quot;Celsius&amp;quot; scale &amp;quot;centigrade&amp;quot;, but if people start nitpicking, I'm happy to switch to &amp;quot;Carolus&amp;quot; to avoid ambiguity. For some reason that tends to annoy people more though. [[Special:Contributions/172.68.22.191|172.68.22.191]] 01:32, 22 October 2024 (UTC)&lt;br /&gt;
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Every temperature scale is equally &amp;quot;random&amp;quot; as every other scale. People always say that Celsius is so much better because it's defined by the phase changes of water. Okay, cool...why should THAT of all things be what we use as the base for a system of temperature measurement? And, who cares? I'm a ''Homo sapiens'', not a water molecule. If anything we should use the freezing and melting points of humans as our two reference points for temperature (which, I must say, Fahrenheit approximates better than Celsius, assuming 0 and 100 are your points &amp;quot;A&amp;quot; and &amp;quot;B&amp;quot;). [[User:Pie Guy|Pie Guy]] ([[User talk:Pie Guy|talk]]) 03:42, 22 October 2024 (UTC)&lt;br /&gt;
: Every temperature scale is arbitrary, but since boiling and freezing water is a thing humans have a lot of experience with it makes sense to use that as the reference point. At least it makes more sense than whatever the coldest recorded temperature in Fahrenheit's home town was, because he didn't like negative numbers [[Special:Contributions/172.70.250.23|172.70.250.23]] 03:56, 22 October 2024 (UTC)&lt;br /&gt;
::Planck temperature (as above) is probably the least arbitrary, and some would say it is to some extent free from arbitrariness. However, it's completely impractical for everyday use (as above.) [[Special:Contributions/172.69.34.138|172.69.34.138]] 04:31, 22 October 2024 (UTC)&lt;br /&gt;
:::Do the physics of black holes or neutron stars involve Planck temperatures greater than 0.0000001? [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 07:23, 22 October 2024 (UTC)&lt;br /&gt;
::::Chat Gippity told me:&lt;br /&gt;
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:::::Black holes and neutron stars do not typically involve temperatures reaching the Planck scale. While both objects exhibit extreme physical conditions, their temperatures are far below the Planck temperature, even though they can be incredibly high compared to everyday phenomena.&lt;br /&gt;
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::::: - **Neutron stars** have surface temperatures in the range of millions of Kelvin, and the core can reach even higher, possibly up to a few billion Kelvin. These temperatures are still vastly lower than the Planck temperature.&lt;br /&gt;
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::::: - **Black holes**, especially the smaller ones, can emit Hawking radiation, with temperatures inversely proportional to their mass. However, the temperature of even a very small black hole is still far below the Planck temperature. Hawking radiation is not expected to reach temperatures close to the Planck scale under normal circumstances.&lt;br /&gt;
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::::: The Planck temperature (TP=1) represents an energy scale so extreme that no known physical models, including those describing black holes and neutron stars, operate near or above this threshold. Temperatures reaching **0.0000001 TP** (or 1.416 × 10^26 K) would still be beyond current observational and theoretical frameworks related to these cosmic objects. A quantum theory of gravity would be required to describe physics at or near the Planck temperature, which remains speculative and is far beyond the conditions found in black holes or neutron stars.&lt;br /&gt;
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::::[[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 08:46, 22 October 2024 (UTC)&lt;br /&gt;
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If the °X scale is based on the temperatures of Earth from all time (for some definition of &amp;quot;Earth&amp;quot;), then the scale is very hard to define and highly impractical. The earth appears to have gotten to more than 2,300 Kelvin (hot enough to melt steel and platinum and to boil lead) and while I can't find any sources for the lowest temperature, I imagine it is lower than -100°C. The recorded minimum, maximum and average temperatures appear to be around -89.2 °C, 56.7 °C and 15 °C respectively. This would make the scale somewhat useful, but this would make typical values between 41 °X (cold winter's day) and 68 °X (hot summers day) which I think is pretty cursed. I recommend the clearly superior °Y, based around average temp at 0 °Y, low at -100 °Y and high at 100 °Y. These would be measured by the yearly high, low and mean temperatures averaged per person. Then saying &amp;quot;It's 2 times colder than yesterday&amp;quot; would have some reasonable meaning. --[[Special:Contributions/198.41.236.147|198.41.236.147]] 04:01, 22 October 2024 (UTC)&lt;br /&gt;
:&amp;quot;''Record'' ... surface temperature&amp;quot; implies it was recorded. [[Special:Contributions/172.68.22.9|172.68.22.9]] 04:08, 22 October 2024 (UTC)&lt;br /&gt;
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How do you all feel about adding an additional column for room temperature 22C/72F?&lt;br /&gt;
{| class=wikitable style=&amp;quot;text-align:right;&amp;quot;&lt;br /&gt;
! scope=&amp;quot;col&amp;quot; | Unit&lt;br /&gt;
! scope=&amp;quot;col&amp;quot; | Room temperature&lt;br /&gt;
|-&lt;br /&gt;
| Celsius || 22&lt;br /&gt;
|-&lt;br /&gt;
| Kelvin || 295&lt;br /&gt;
|-&lt;br /&gt;
| Fahrenheit || 72&lt;br /&gt;
|-&lt;br /&gt;
| Réaumur || 18&lt;br /&gt;
|-&lt;br /&gt;
| Rømer || 18&lt;br /&gt;
|-&lt;br /&gt;
| Rankine || 531&lt;br /&gt;
|-&lt;br /&gt;
| Newton || 7&lt;br /&gt;
|-&lt;br /&gt;
| Wedgwood || -7&lt;br /&gt;
|-&lt;br /&gt;
| Galen || 0&lt;br /&gt;
|-&lt;br /&gt;
| ''Real'' Celsius || 78&lt;br /&gt;
|-&lt;br /&gt;
| °X || 58&lt;br /&gt;
|}&lt;br /&gt;
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Or 0.00000000000000000000000000000208 °Planck, lol. [[Special:Contributions/108.162.245.211|108.162.245.211]] 05:36, 22 October 2024 (UTC)&lt;br /&gt;
:I feel like decigalens would be the most practical unit. Who's with me? [[Special:Contributions/162.158.186.5|162.158.186.5]] 06:20, 22 October 2024 (UTC)&lt;br /&gt;
::It's interesting; calculating the equilibrium temperature (with 2.05 and 4.24 being used for the heat capacities of ice and boiling water) gives 67... If I use water that's about to freeze and steam, I get 31. [[Special:Contributions/172.69.0.178|172.69.0.178]] 07:59, 22 October 2024 (UTC)&lt;br /&gt;
:::Would you please explain in more detail? [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 09:03, 22 October 2024 (UTC)&lt;br /&gt;
:::: The equilibrium temperature of a mixture (?) of equal quantities of ice at 0 C and water at 100 C (with the heat capacities 2.05 and 4.24) is 67 C; if I use the data for water at 0 C and steam, I get 31 C. Additionally, if I use equal volumes, I get 68 (which isn't much different.) [[Special:Contributions/172.69.0.178|172.69.0.178]] 17:15, 22 October 2024 (UTC)&lt;br /&gt;
:::: One can obtain 0 = 22 C by setting the heat capacity of ice to be 39 and that of water to be 11. For any particular &amp;quot;normal temperature&amp;quot; ''R'' °C (that is, the temperature at 0 is ''R'',), I find that ''x'' °C = 50''R''(''x''+4)/(''x''(''R''-50)+200). In particular, for ''R'' = 22, we get (1100+275''x'')/(50-7''x''). [[Special:Contributions/198.41.236.163|198.41.236.163]] 05:58, 23 October 2024 (UTC)&lt;br /&gt;
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Question regarding the X scale - when it‘s defined by *three* (somewhat, implying average is real and not just calculated by (max-min)/2)) independent points, how will linearity be achieved? [[Special:Contributions/162.158.155.76|162.158.155.76]] 05:43, 22 October 2024 (UTC)&lt;br /&gt;
[[File:Explanation length.png|right|thumb|Or click &amp;quot;[Expand]&amp;quot; in the bottom right table cell Derivation.]]&lt;br /&gt;
:Please see [[2701: Change in Slope]]. [[Special:Contributions/172.70.206.179|172.70.206.179]] 05:50, 22 October 2024 (UTC)&lt;br /&gt;
:Sure, &amp;quot;a linear scale between each point&amp;quot;:&lt;br /&gt;
[[File:XvsC.png|thumb|left|Here you go. [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 06:33, 22 October 2024 (UTC)]]&lt;br /&gt;
{{clear}}&lt;br /&gt;
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The reference for the average surface temperature, https://www.space.com/17816-earth-temperature.html, suggests it has increased above 15°C. What value should we use in late 2024? [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 07:30, 22 October 2024 (UTC)&lt;br /&gt;
:The [https://wmo.int/media/news/earth-experiences-warmest-day-recent-history World Meteorological Organization], [https://www.carbonbrief.org/state-of-the-climate-2024-now-very-likely-to-be-warmest-year-on-record/ Carbon Brief], and [https://climate.copernicus.eu/new-record-daily-global-average-temperature-reached-july-2024 Copernicus Climate Change Service] suggest 17.16°C. [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 07:42, 22 October 2024 (UTC)&lt;br /&gt;
::Updated water temperatures, Derivation, and graph. So we've already had more than the +2°C warming we were trying to avoid in 2019? [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 08:05, 22 October 2024 (UTC)&lt;br /&gt;
::: The +2°C (or +1.5°C that we were originally supposed to be avoiding) is over some (undefined) number of years, though, which allows us to ignore the fact that we're cooking ourselves by repeatedly saying 'Oh, but it doesn't count ''yet''.' [[Special:Contributions/172.70.91.62|172.70.91.62]] 11:13, 23 October 2024 (UTC)&lt;br /&gt;
Regarding [https://www.explainxkcd.com/wiki/index.php?title=3001%3A_Temperature_Scales&amp;amp;type=revision&amp;amp;diff=353635&amp;amp;oldid=353632], are the average surface temperatures from the sources supposed to be yearly or overall averages? [[User:Liv2splain|Liv2splain]] ([[User talk:Liv2splain|talk]]) 09:06, 22 October 2024 (UTC)&lt;br /&gt;
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where is the interactive epic 3000 comic we should've gotten? This one's cool but 1000 seemed to have more effort in it and 2000 was at least tangetially related. Does Randall just not like making these anymore and is only making more comics as a business? [[Special:Contributions/108.162.238.185|108.162.238.185]] 12:14, 22 October 2024 (UTC)&lt;br /&gt;
:The comic is free on the website and it doesn't have ads; although the comic is part of his &amp;quot;brand&amp;quot; there are many more profitable things he could be doing with his time, and yet he continues to update it every Monday, Wednesday, and Friday.  I just don't like the idea of claiming that a creative person &amp;quot;should&amp;quot; produce any particular thing to satisfy their fans.  He's a busy guy!  Maybe he's working on a book, or a Scientific American article, or a TV show.  He's under no obligation to give us anything, and maybe one day he'll stop making xkcd altogether; that's his choice.  Sorry to single you out; I know a lot of people feel the same way as you do, but to me it doesn't make sense.  He's not a content machine--he's a guy who started posting sketches on the internet. [[User:Dextrous Fred|Dextrous Fred]] ([[User talk:Dextrous Fred|talk]]) 15:23, 22 October 2024 (UTC)&lt;br /&gt;
::Sorry if I sounded overly brash, I wasn't trying to imply &amp;quot;wahhh no special entry wahhh&amp;quot;, I was just wondering if Randall still likes to make these or if he doesn't, mainly because he just didn't do anything special, which feels like he just didn't care. I wasn't trying to imply Randall should just do it for the fans[[Special:Contributions/108.162.238.80|108.162.238.80]] 17:52, 22 October 2024 (UTC)&lt;br /&gt;
:::It ''could'' be that 3000 (or even 3001) ''was'' going to be special but, as fairly frequently with April Fool 'specials', it just wasn't doable on time. (If it's still considered fixablez it might pop up sometime before 3020 or so. Or, if transferable to another occasion (rebranding the obvious &amp;quot;3000!&amp;quot;ness), held over until Haloween, Christmas, April or 4000, perhaps with additional perfections.)&lt;br /&gt;
:::Hard to know, unless Randall (or his technical collaborators) say anything. And it's probably not worth doing so right now. Maybe &amp;quot;Hey guys, this ''was'' going to be #3000!&amp;quot; might accompany its eventual emergence, but also maybe not. Does it really matter? [[Special:Contributions/172.70.85.139|172.70.85.139]] 13:03, 23 October 2024 (UTC)&lt;br /&gt;
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Is this the first list-style comic where every single entry is real? (Usually he has several joke entries.) [[Special:Contributions/172.70.114.182|172.70.114.182]] 14:26, 22 October 2024 (UTC)&lt;br /&gt;
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Where would [[1923: Felsius|Felsius]] go on this list?&lt;br /&gt;
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One can find a smooth function for °X, namely, (477879''x''-17634840)/(3341''x''+197700), which takes °X and returns °C. The inverse is (-197700''x''-17634840)/(3341''x''-477879). Should this be included in the wiki article? Or maybe another way of fitting it (like exponential) should be used.  [[Special:Contributions/172.69.0.165|172.69.0.165]] 06:27, 23 October 2024 (UTC)&lt;br /&gt;
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Should it be noted that in the first _What If?_ book, there's a reference to units and how much Randall loathes rankine? Someone can go take the book and cite it; it's in one of the early pages [[Special:Contributions/172.64.236.10|172.64.236.10]] 08:45, 23 October 2024 (UTC)&lt;br /&gt;
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I remember it being drummed into us in school physics (admittedly over 50 years ago) that 0 Celsius is defined as the melting point of ice, not the freezing point of water (presumably because of supercooling). [[Special:Contributions/172.70.160.189|172.70.160.189]] 08:49, 23 October 2024 (UTC)&lt;br /&gt;
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It seems he wrote &amp;quot;Earths'&amp;quot; (plural possessive) instead of &amp;quot;Earth's&amp;quot;. [[Special:Contributions/141.101.98.151|141.101.98.151]] 08:58, 23 October 2024 (UTC)&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2712:_Gravity&amp;diff=347518</id>
		<title>Talk:2712: Gravity</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2712:_Gravity&amp;diff=347518"/>
				<updated>2024-07-29T17:44:53Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: &lt;/p&gt;
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this game is really hard...i got stuck on the sun, then tried again and got sucked into a black hole.[[User:(insert name here)|(insert name here)]] ([[User talk:(insert name here)|talk]]) 06:34, 20 December 2022 (UTC)&lt;br /&gt;
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Whatever image is supposed to be in the center isn't showing up for me! D: Tried on both Safari and Chrome but it gives me the little broken picture icon. Hopefully it's fixed soon! (The comic's been up for about 10 minutes going by when the bot updated this page.) [[Special:Contributions/172.70.126.117|172.70.126.117]] 22:28, 16 December 2022 (UTC)&lt;br /&gt;
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Is it me or are the planets way too close together, and if the gravity were real, they'd all smush together?&lt;br /&gt;
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: The center image is trying to load this link, but there's nothing there: https://xkcd.com/tile/ship1/ship_gliding_2x.png. I hope that gets fixed soon.  The &amp;quot;ship&amp;quot; seems to rotate a bit unpredictably over time. At first I thought it was responding to my mouse movements, but I don't think so anymore.  [[User:Orion205|Orion205]] ([[User talk:Orion205|talk]]) 22:34, 16 December 2022 (UTC)&lt;br /&gt;
:: Still broken on the mobile site (Chrome, Android). I just see a rotating missing image box. [[Special:Contributions/172.71.134.133|172.71.134.133]] 11:39, 17 December 2022 (UTC)&lt;br /&gt;
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: Ah, the center image is controlled by the javascript, of course: https://xkcd.com/2712/comic.js.  So this is some sort of interactive comic? [[User:Orion205|Orion205]] ([[User talk:Orion205|talk]]) 22:36, 16 December 2022 (UTC)&lt;br /&gt;
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: Okay, left/right arrow keys seem to control the rotation. I'll check back in later in hopes of seeing the ship so I have some idea what the point of it all is.   [[User:Orion205|Orion205]] ([[User talk:Orion205|talk]]) 22:39, 16 December 2022 (UTC)&lt;br /&gt;
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: And now it's working. You fly a little spaceship around the little planet. Luckily you have shields if you slam into the ground too hard.  [[User:Orion205|Orion205]] ([[User talk:Orion205|talk]]) 22:43, 16 December 2022 (UTC)&lt;br /&gt;
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: Catch the cannonball for a spaceship upgrade.  Also, not so easy to find a stable orbit around this little planet.  [[User:Orion205|Orion205]] ([[User talk:Orion205|talk]]) 22:49, 16 December 2022 (UTC)&lt;br /&gt;
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Found another planet (has a reference to the &amp;quot;Tires&amp;quot; chapter in How To) with a cannonball, which turned me into an astronaut.&lt;br /&gt;
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You can transform the ship into a different (seems faster to me) one by running into the last cannon ball.&lt;br /&gt;
[[Special:Contributions/108.162.241.249|108.162.241.249]]&lt;br /&gt;
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Rough summary: The comic is an interactive space flight game, starting landed on an origin planet. The planet is static, and the player starts in a ship controlled by WASD or Directional keys. The ship can go up and down, and rotate left and right. Game simulates orbits and gravity, making navigation tricky. Around the player ship there are dots which indicate nearby planets - there are numurous planets, each with what seem to be drawings related to the What If book. Within the browser, planets are loaded in PNG format by chunk, names formatted as &amp;quot;planet_0_0&amp;quot; with numbers incrementing as grid co-ordinates. Planets and objects found: &amp;quot;origin&amp;quot; &amp;quot;europa&amp;quot;, &amp;quot;road&amp;quot;, &amp;quot;b612&amp;quot;. NOTE: Several hazards exist, such as a field of black holes - if flown into, the ship can become stuck if let to be pulled close to the surface, locking in place. [[Special:Contributions/172.70.110.230|172.70.110.230]] 23:13, 16 December 2022 (UTC)&lt;br /&gt;
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: Within browser dev console exists the objects &amp;quot;Ship&amp;quot; and &amp;quot;Comic&amp;quot;, the latter containing a list of all objects and coordinates, as well as various setting for the game physics and settings. Comic contains the sub-object &amp;quot;Voyager&amp;quot;, which contains the details and settings for the player ship, including location, speed, etc. [[Special:Contributions/172.70.110.230|172.70.110.230]] 23:13, 16 December 2022 (UTC)&lt;br /&gt;
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:: There are 5 ship types in the game code, each with their own consumable transformative found in the world. The ship alternatives are (ship1, ship2, ship-tintin, ship-figure, ship-soccerball). These can be changed with console command [Comic.ship = &amp;quot;ship1&amp;quot;]. Note: At current, &amp;quot;ship-soccerball&amp;quot; returns an error and does not load correctly. [[Special:Contributions/172.70.110.230|172.70.110.230]] 23:13, 16 December 2022 (UTC)&lt;br /&gt;
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:: The &amp;quot;ship.shields&amp;quot; is a boolean value that defaults to true, and when set to false, makes the game behave in a lunar lander mode (bad landing black screens the whole page). The &amp;quot;ship.engine&amp;quot; types I see in the code are &amp;quot;warp&amp;quot; (very fast speeds) and &amp;quot;infinite improbability drive&amp;quot; (teleports to 'improbable' places). Default engine is &amp;quot;standard&amp;quot;, but it seems any value that is not the former two has the same effect. --[[Special:Contributions/172.70.254.165|172.70.254.165]] 23:32, 16 December 2022 (UTC)&lt;br /&gt;
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: In addition to Europa, the space road, and B-612, there is the &amp;quot;Edge of the Universe&amp;quot; (complete with Milliways restaurant nearby), a... tree (which is extremely hard to land on), a planet populated by the characters from Dinosaur Comics (and the main cast of Jurassic Park), the USS Enterprice (NCC 1701-C), and likely quite a bit more. Orbital mechanics make it tough to land on the smaller targets. [[Special:Contributions/172.71.254.46|172.71.254.46]] 23:07, 16 December 2022 (UTC)&lt;br /&gt;
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:: Plus what appears to be Earth, complete with the LHC. There's a 2nd &amp;quot;cannonball&amp;quot; there for an additional ship upgrade, but at the time I found it, that graphic was unavailable. [[Special:Contributions/172.70.126.232|172.70.126.232]] 23:15, 16 December 2022 (UTC)&lt;br /&gt;
:: &amp;quot;Edge of the Universe&amp;quot; is part of &amp;quot;Outside&amp;quot;. There is a hidden tunnel from the main universe to the bubble universe at coordinates (7597,24327) point nose of ship at words &amp;quot;EDGE OF THE&amp;quot; and fire thrusters. [[Special:Contributions/162.158.79.160|162.158.79.160]] 03:59, 17 December 2022 (UTC)&lt;br /&gt;
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: I went out a long ways away, and eventually found The Great Attractor.  It attracts really hard.  I couldn't leave the surface.  (I wasn't able to leave the center of Europa either, though, so, not saying much.)  There are also some terrifying black holes (a binary system?), though something's weird about their gravity; you kinda bounce off of them a quarter screen away or so? [[Special:Contributions/108.162.216.77|108.162.216.77]] 23:10, 16 December 2022 (UTC)&lt;br /&gt;
:: I *think* thats a wormhole, you go in one and then out the other. I got stuck right between them. Speaking of getting stuck, there is a bug where if you hit a planet with enough gravity fast enough, the ship is inside the planet. Holding W makes you go backwards (or at least towards the center maybe?) and you can get all the way to the other end of the planet where you slow down a lot, but can eventually leave. [[Special:Contributions/172.70.82.166|172.70.82.166]] 23:19, 16 December 2022 (UTC)Bumpf&lt;br /&gt;
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::There's one planet that's supposed to be the &amp;quot;remnant of the sun&amp;quot;, is that what you mean with The Great Attractor? (It has a bridge on it with a coin(?) blocking part of the way, and a space ship actively crashing into its surface, drawn as several frames.) You can leave that by skidding over the surface like a skipping stone to gather momentum - it's tricky, due to various obstacles, but possible! (It's possible you need two ship power-ups?! If they're indeed power-ups and not just aesthetic changes, I didn't pay attention.)&lt;br /&gt;
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:::No, it's labeled &amp;quot;The Great Attractor&amp;quot;.  It's big and white and has strong gravity.  Lemme see if I have a screenshot. [[Special:Contributions/108.162.216.25|108.162.216.25]] 00:20, 17 December 2022 (UTC)&lt;br /&gt;
:::Here: https://github.com/Erhannis/random_garbage/blob/main/Screenshot%20from%202022-12-16%2017-47-48.png [[Special:Contributions/108.162.216.25|108.162.216.25]] 00:24, 17 December 2022 (UTC)&lt;br /&gt;
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::Screenshot of [https://imgur.com/a/NZulBlb the Enterprise] and [https://imgur.com/2VSZYp7 Dinosaur Comics planet]. Sorry for the broken image in the middle, I picked up two powerups and [https://xkcd.com/2712/tile/ship-soccerball/ship_landing_down_2x.png my current ship image is broken]. -(pinkgothic) [[Special:Contributions/172.68.110.143|172.68.110.143]] 23:22, 16 December 2022 (UTC)&lt;br /&gt;
:::[https://i.imgur.com/fLU1cWy.png Dog Park planet] [[Special:Contributions/172.71.254.114|172.71.254.114]] 23:28, 16 December 2022 (UTC)&lt;br /&gt;
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Using a tablet (no keyboard, but seems to respond to touch), controls are confusing. Presuming that touching bottom left activates left-rotate and touching bottom right does right-rotate (can't see the presumably white-lije controls over the white planet) but I can't get ''thrust'' anything but 'reverse' into the planet centre. No obvious top-edge hotspots, either. Maybe I need to do a &amp;quot;You will not go to space today&amp;quot; and then reverse ''upward''... BRB, after a bit more testing, though... [[Special:Contributions/172.69.79.185|172.69.79.185]] 23:39, 16 December 2022 (UTC)&lt;br /&gt;
:Ok, the next go went 'better'. The browser keeps wanting to load &amp;quot;simplified content&amp;quot;, but if I ignore that I can get full-screen, at one point I changed rocket-type (no idea how, can't do it again) and I ''easily'' get off the planet (hard to thrust just enough to get to the Hooke comment/cannon), with plenty of targets coming in range (but cannot slow down enough to not have it glitch and rebuild a totally new set of targets that I never can reach). Will try desktop version when I'm next on a suitable one... Looks to be a lot of interesting content. [[Special:Contributions/162.158.74.30|162.158.74.30]] 23:53, 16 December 2022 (UTC) &lt;br /&gt;
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Using the developer console, the ship can be teleported to different coordinates via console command [Comic.voyager.pos.x = 0, Comic.voyager.pos.y = -1461], provided here with start location coordinates. This can be used for manual navigation to known coordinates. List of locations per game code added below, append landing X,Y to each as determined. [[Special:Contributions/172.70.110.230|172.70.110.230]] 23:42, 16 December 2022 (UTC)&lt;br /&gt;
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b612: [5280,-7601] dogplanet: [2598,-23168] earth: [33803,-32974] enterprise: [1898,-61215] europa: [24930,8022] goodhart: [-23372,5928] greatattractor: [-594782,248510] japanmoon: [x,y] maw1: [x,y] maw2: [x,y] maw3: [x,y] maw4: [x,y] maw5: [x,y] maw6: [x,y] maw7: [x,y] maw8: [x,y] maw9: [x,y] maw10: [x,y] maw11: [x,y] maw13: [x,y] maw14: [x,y] nojapan: [x,y] origin: [0, -1461] peeler: [x,y] pigeons: [x,y] present: [x,y] remnant: [x,y] roads: [x,y] soupiter: [x,y] steerswoman: [x,y] sun: [x,y]&lt;br /&gt;
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Note: For ease of teleportation, reference the ''Comic.planetRects'' array and use the first two numbers as X,Y. This will get the ship close enough to the object to then land and determine a landed location, via ''Comic.voyager.pos''&lt;br /&gt;
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In your developer console, enter &amp;lt;code&amp;gt;window.ship.engines = 'infinite improbability drive'&amp;lt;/code&amp;gt; and pressing up will randomly teleport you to interesting places.&lt;br /&gt;
&amp;lt;code&amp;gt;window.ship.engines = 'warp'&amp;lt;/code&amp;gt; will let you escape normally inescapable objects.&lt;br /&gt;
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Unfortunately, the infinite improbability drive will sometimes result in an object's image and geometry failing to load. The same bug can occur with a manual teleportation too close to an object. For convenience, here are a list of coordinates which put you relatively close to various locations, but far enough away to trigger the object's loading:   &lt;br /&gt;
'''Major Locations:''' origin: (0, -1500); dogplanet: (2480, -23484); earth: (28720, -36912); europa: (26360, 984); goodhart: (-26600, 2424); greatattractor: (-594000, 247952); qwantz: (22120, -51788); remnant: (39240, -9648); soupiter: (-16000, 16032); steerswoman: (-70140, 2952); sun: (-29900, -32352); Bubble Universe: (5000,21000);&lt;br /&gt;
'''Smaller Locations:''' b612: (5220, -8424); japanmoon: (-11860, 10576); nojapan: (-15360, 10676); enterprise: (2020, -61904); outside: (250,28500); peeler: (-18540, -2264); pigeons: (-18040, 3956); present: (45640, 36816); roads: (26480, 23500); light mode toggle: (1500,-200000)&lt;br /&gt;
'''Black Holes:''' maw1: (-63152, 17130); maw2: (-60422, 16638); maw3: (-55950, 15508); maw4: (-59092, 14918); maw5: (-59582, 14238); maw6: (-58656, 14126); maw7: (-59400, 13828); maw8: (-58330, 13296); maw9: (-61544, 12796); maw10: (-59032, 11618); maw11: (-58762, 11472); maw12: (-53664, 10832); maw13: (-63486, 8424); maw14: (-52142, 20624); &lt;br /&gt;
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Also, I found the following javascript function helpful for teleporting around. &amp;lt;code&amp;gt;function tp(x,y){ Comic.voyager.pos.x = x; Comic.voyager.pos.y = y; Comic.voyager.pos.vx = 0; Comic.voyager.pos.vy = 0;}&amp;lt;/code&amp;gt; --[[Special:Contributions/172.70.126.233|172.70.126.233]] 03:06, 17 December 2022 (UTC)&lt;br /&gt;
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If anyone wants to download the planet images, they're at https://xkcd.com/2712/tile/&amp;lt;name&amp;gt;_i_j.png, for i,j = 0, 1, ..., going as high as needed for the planet size. For example, https://xkcd.com/2712/tile/origin_3_3.png gives the bottom-right part of the start planet.&lt;br /&gt;
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; Proposal&lt;br /&gt;
It seems the most explanatory thing we can do is replace the blank starfield with the starting image screenshot, and label its four corners with their x and y coordiates, and then make a table of all the objects with their coordinates, a screenshot, and a description of their behaviors. [[Special:Contributions/172.70.206.204|172.70.206.204]] 23:55, 16 December 2022 (UTC)&lt;br /&gt;
: A map with insets would be better than coordinates since the frame rotates. [[Special:Contributions/172.71.158.231|172.71.158.231]] 00:17, 17 December 2022 (UTC)&lt;br /&gt;
:: Here are some overview images: https://drive.google.com/drive/folders/1UPJ1_4xNQbsHVP5FplrTaVJa3e6WddjG The Great Attractor is much farther out than most of the planets. So I've also included a more zoomed-in image that doesn't include it. --[[Special:Contributions/172.70.127.38|172.70.127.38]] 07:35, 17 December 2022 (UTC)&lt;br /&gt;
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Got images for all the locations: https://drive.google.com/drive/folders/1CVADHsRgBtDPYca-gdfVwNW_nEsrJ-zj?usp=share_link [[User:Clam|Clam]] ([[User talk:Clam|talk]]) 00:03, 17 December 2022 (UTC)&lt;br /&gt;
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Looks like I was beat to the punch, but here's another way to access the raw images (on a dark background): https://aeromancer.dev/xkcd_2712/ [[Special:Contributions/172.70.211.90|172.70.211.90]] 01:15, 17 December 2022 (UTC)&lt;br /&gt;
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I’ve been able to glitch into the center of planets, but the ones with lower gravity I can get out of. I did this unintentionally by going headfirst into one really fast.&lt;br /&gt;
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[https://drive.google.com/drive/folders/11pP8VbYkJDDWUOIFhUHO_DZmEbd9_E56 Here's] a version of the images on the starfields! Figured it would be the closest thing. [[Special:Contributions/172.70.111.29|172.70.111.29]] 02:23, 17 December 2022 (UTC)&lt;br /&gt;
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; Table system&lt;br /&gt;
I've added the graph from good'ol hoverboard. Here's the format to add stuff.&lt;br /&gt;
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|Title, perhaps in triple apostrophes if they're a major feature, not on top of another planet.&lt;br /&gt;
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|Transcription for people talking in that area. Don't do this for planets.&lt;br /&gt;
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|Coordinates. 172.70.126.233 has a comment on a ton of coordinates and locations which need to be added. I don't know how he does that science stuff, but use it!&lt;br /&gt;
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|Is it a reference to What If 2? Put a Y here if so.&lt;br /&gt;
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|Is it a reference to XKCD? Put a Y here if so.&lt;br /&gt;
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|Is it a reference to a movie? Put a Y here if so.&lt;br /&gt;
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|Is it a reference to something else? Put a Y here is so. Leave these empty if not.&lt;br /&gt;
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|Put the explanation here. &lt;br /&gt;
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Please help out on adding stuff! There's a lot! Remove the newlines from in between the lines. I had to add those for them to format right.&lt;br /&gt;
[[User:Eelitee|Eelitee]] ([[User talk:Eelitee|talk]]) 04:33, 17 December 2022 (UTC)&lt;br /&gt;
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OHNO&lt;br /&gt;
172.70.126.233 coordinates for teleportation specifically. I didn't read it right and put them in... I'm going through the data dump to try and extract them. Sorry!!&lt;br /&gt;
[[User:Eelitee|Eelitee]] ([[User talk:Eelitee|talk]]) 04:37, 17 December 2022 (UTC)&lt;br /&gt;
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Alright, fixed. A few things I'm thinking about to do next, but I don't have time for:&lt;br /&gt;
1. Add gravitation attractions in a new column. They're all in the json dump, I suggest using a json viewer for more convenience. Or doing some coding?&lt;br /&gt;
2. Add item locations. This one is important, as items are a major feature.&lt;br /&gt;
3. Organize the items, either by alphabetical, or by distance from Earth. This might be hard...&lt;br /&gt;
4. Get details in! We need more information. This is the most important by far, get to work! haha.&lt;br /&gt;
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GL, HF!&lt;br /&gt;
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[[User:Eelitee|Eelitee]] ([[User talk:Eelitee|talk]]) 04:48, 17 December 2022 (UTC)&lt;br /&gt;
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I'm was adding the &amp;quot;Y&amp;quot; tags for the different bodies, do we want to add a &amp;quot;Y&amp;quot; if there is any of that reference on the planet (for the planet row in the chart) or only add the Y on the specific comic fragments or POIs on the planet? On the one hand it seems like it would be helpful to see what kind of references are on a planet overall, but I also feel that it could quickly turn into every planet having every single box checked. Also, I feel we need a 2nd box for what if 1 vs what if 2, as well as TE and HT. I haven't explored the map very much yet, but if there are a lot of ST/SW/LR references they may need to be separated from movies, similar to the abbreviation system on hoverboard. I don't edit a lot and I have only edited &amp;quot;new&amp;quot; pages once or twice so if anyone has any advice or issues with what I have added feel free to add your opinions here. Thanks!&lt;br /&gt;
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;Unlisted Planet&lt;br /&gt;
Hi all, first time poster so sorry if I'm formatting this wrong. I found a planet at (46070, 37936) which doesn't seem to be listed yet, and I didn't see it in the comics.js output or the google drive link from [[User:Clam|Clam]]. It's very small and has characters talking about the new book https://drive.google.com/file/d/19lfN8N06s18mKUhFkPcFddKYEXApAED4/view?usp=share_link Have we already accounted for this, and if not does anyone know where we might find a listing including this planet and possibly others like it? [[User:Jgendelgreen|Jgendelgreen]] ([[User talk:Jgendelgreen|talk]]) 06:07, 17 December 2022 (UTC)&lt;br /&gt;
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No, you're doing alright. If you find something new, just add it to the list. Other people will correct it if it's wrong!&lt;br /&gt;
You can find a listing using the json dump that was posted underneath the list. I may have deleted the listing for that one accidentally... oops...&lt;br /&gt;
[[User:Eelitee|Eelitee]] ([[User talk:Eelitee|talk]]) 06:17, 17 December 2022 (UTC)&lt;br /&gt;
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Oh cool thanks! I think the one I found is &amp;quot;present&amp;quot;[[User:Jgendelgreen|Jgendelgreen]] ([[User talk:Jgendelgreen|talk]]) 06:23, 17 December 2022 (UTC)&lt;br /&gt;
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I wish to note that I'm using Safari on an iPad, which usually can't touch the interactive comics (I know hoverboard was a whole lot of nothing), for this one I can turn the rockets on and off, that's it. Seems like my path is predetermined, on autopilot (turns here then there, first time in an S, with nothing in sight to be modifying my flight). The first time I was going pretty fast, rockets off, then I turned them back on right before I blasted past SOME planet, flitted by in a blink, so I'm hoping to find it again, but I have no control except Thrust or No Thrust. [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 07:12, 17 December 2022 (UTC)&lt;br /&gt;
:Check that, NOW if I tap the left side I get the right thruster and vice versa! Hey, I have control! [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 07:24, 17 December 2022 (UTC)&lt;br /&gt;
::Found Jurassic Park planet and Dog Park planet, then found the sun, saw SOMEBODY saying something but I skidded to a stop too far away, and no, escape is NOT possible. I'm in the default rocket and turning on the thrusters just gives a little hop, not enough to then tun on ONE thruster to actually change position. I am unquestionably STUCK, LOL! [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 07:42, 17 December 2022 (UTC)&lt;br /&gt;
:Does anyone know what [https://imgur.com/a/j7BAMrF this little island] is called? It's near the roads. It's been described as ''&amp;quot;A tree larger than the planet it's growing on&amp;quot;'' on the main page's table. -(pinkgothic) [[Special:Contributions/198.41.242.241|198.41.242.241]] 00:59, 18 December 2022 (UTC)&lt;br /&gt;
:: It's the &amp;quot;roads&amp;quot; tree planet, because the roads through portals need a center to show up as a point on the ship's mini-map system. [[Special:Contributions/172.70.214.205|172.70.214.205]] 08:58, 19 December 2022 (UTC)&lt;br /&gt;
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;Cosmic topology?&lt;br /&gt;
Does space wrap around horizontally and vertically in a torus like the Atari ''Asteroids'' video game, or does it go on forever in all directions? If the former, how many times the area of the initial comic is it? [[Special:Contributions/172.71.154.159|172.71.154.159]] 07:33, 17 December 2022 (UTC)&lt;br /&gt;
: I've gotten to X = 1,000,000, no signs of wrapping around. [[Special:Contributions/172.70.189.113|172.70.189.113]] 22:52, 19 December 2022 (UTC)&lt;br /&gt;
:I think so... Or rather it's like an edge. ONCE I was flying a long distance, then something seemed odd and the page refreshed itself and I was back at the launchpad. [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 06:44, 1 January 2023 (UTC)&lt;br /&gt;
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;Game breaker&lt;br /&gt;
I found out that if run `ship.shields = false` and touch anything, the screen goes black forever.[[Special:Contributions/172.70.179.4|172.70.179.4]] 14:49, 17 December 2022 (UTC)&lt;br /&gt;
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;Light mode&lt;br /&gt;
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I don't see any mention yet of the &amp;quot;Light mode&amp;quot; button at X=1500, Y=-200000; it's clickable and inverts black and white for the comic. [[Special:Contributions/172.71.30.83|172.71.30.83]] 07:50, 18 December 2022 (UTC)&lt;br /&gt;
:I actually came across it a few days ago. I'm pretty sure I found it by holding down the thrusters from the starting position, but now that just sends me crashing into the USS Enterprise (and not even at the same angle every time, maybe due to lag) so either the position of something got changed or I'm remembering what I did wrong. [[User:SitkaFox|SitkaFox]] ([[User talk:SitkaFox|talk]]) 03:56, 19 December 2022 (UTC)&lt;br /&gt;
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;More console shenanigans&lt;br /&gt;
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Executing &amp;lt;code&amp;gt;window.python('import antigravity');&amp;lt;/code&amp;gt; (referencing xkcd #353) in the console does what it says: gravity is reversed. [[Special:Contributions/172.71.30.83|172.71.30.83]] 07:50, 18 December 2022 (UTC)&lt;br /&gt;
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;observations&lt;br /&gt;
this three-quarters planet seems to be impossible to get out of without the &amp;quot;warp&amp;quot; engines if you get in the center: https://i.imgur.com/tMchAa1.png&lt;br /&gt;
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: Planet is not supposed to be three quarters, I'm guessing one of the tiles did not load for some reason. See [https://drive.google.com/file/d/1wZSvRgB2dw03Md30PfDdSU03quygRVEw/view here]. [[Special:Contributions/172.70.35.69|172.70.35.69]] 18:08, 17 December 2022 (UTC)&lt;br /&gt;
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i also got stuck in one planet by descending toward it very quickly https://i.imgur.com/9ilmtdK.png - in this state, descending and turning do nothing, but accelerating (pressing up) makes me slowly move downward and lets me turn very slowly&lt;br /&gt;
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--[[Special:Contributions/172.70.114.7|172.70.114.7]] 15:01, 17 December 2022 (UTC)&lt;br /&gt;
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also, i went toward this planet (downward) at high speed and became knit cap somehow https://i.imgur.com/JlRFuy4.png --[[Special:Contributions/172.70.230.160|172.70.230.160]] 15:16, 17 December 2022 (UTC)&lt;br /&gt;
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Instead of there being a wide &amp;quot;references&amp;quot; column with 4 sub-columns, I think it should be just a &amp;quot;references&amp;quot; column with what the reference is as the text, instead of it being a boolean. This also allows for more detail such as &amp;quot;What If 2, chapter 94: What if I made up a chapter name&amp;quot; or something like that [[Special:Contributions/172.71.22.22|172.71.22.22]] 15:46, 17 December 2022 (UTC)Bumpf&lt;br /&gt;
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There is a planet at {x: 34704, y: -25501} with a space elevator attached to it. In that same planet, at {x: 31682, y: -34551}, there's a guy complaining about the framerate being &amp;quot;really bad out today&amp;quot;; the screen will stutter if you fly by him.&lt;br /&gt;
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I think that the planet labeled &amp;quot;Earth&amp;quot; in the table is actually Mars. Apparently it has two asteroids orbiting it. [[User:N-eh|N-eh]] ([[User talk:N-eh|talk]]) 19:45, 17 December 2022 (UTC)&lt;br /&gt;
:I questioned if it's actually Earth too, but if you mess around in the Console it's called &amp;quot;earth&amp;quot; in the code and can teleport there by name. [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 06:44, 1 January 2023 (UTC)&lt;br /&gt;
&lt;br /&gt;
I managed to stitch the tiles for each location and therefore created a complete image of each of the 34 locations. Where can I upload this to? I uploaded the code here: https://github.com/roee30/xkcd-scripts&lt;br /&gt;
: Is it possible to make a google maps type zoomable version of your images like [http://xkcd-map.rent-a-geek.de/] is for [[1110: Click and Drag]]? [[Special:Contributions/172.71.166.123|172.71.166.123]] 22:54, 18 December 2022 (UTC)Bumpf&lt;br /&gt;
&lt;br /&gt;
It already exists!&lt;br /&gt;
See : https://old.reddit.com/r/xkcd/comments/zo07ji/xkcd_2712_static_and_zoomable/ --[[Special:Contributions/172.70.242.39|172.70.242.39]] 22:02, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; What if 2 planet&lt;br /&gt;
&lt;br /&gt;
It's got a dinosaur being offered a hamburger, a person firing a cannon (one cannonball nearly goes into orbit) and if you can get yourself struck by one of the cannonballs the ship transforms.&lt;br /&gt;
&lt;br /&gt;
I'm not sure if the transformed ship is BETTER, but it is different.&lt;br /&gt;
&lt;br /&gt;
--[[Special:Contributions/172.70.131.52|172.70.131.52]] 17:19, 17 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
I turned the ship into a person (Megan?) by hitting the cannonball next to the &amp;quot;HMMM Spiders!&amp;quot; [[User:SQB|SQB]] ([[User talk:SQB|talk]]) 16:46, 20 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Underneath Europa's Crust&lt;br /&gt;
&lt;br /&gt;
I managed to clip through the icy crust of Europa to the sea underneath (by flying at the planet really fast)... and there's stuff *down* here. Neat!&lt;br /&gt;
&lt;br /&gt;
I'll update the table accordingly. [[User:TwilightWorlds|TwilightWorlds]] ([[User talk:TwilightWorlds|talk]]) 19:51, 17 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; I noticed some text that isn't written down on the transcript anywhere. Apologies if I'm doing something wrong, I've never contributed before. Here is the link to a screenshot of what I found. Not sure where it is, but hopefully it looks familiar. https://drive.google.com/file/d/11z1_mChMlWr2ZgJCksXEWiY17vosoMlI/view?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Maybe I'm crazy, but is it possible that the positions of some objects have been changed since the comic was posted? The other day, if I flew straight up from the starting point never disabling the engine, I'd get flung around by some gravity wells before being flung out in a direction that would, eventually, lead me right past the 'light mode' button. Today, however, I always end up crashing into the USS Enterprise, and to add to the weirdness, I don't even hit it at the same angle every time. Also, I hope I'm signing this right, it's my first post. [[User:SitkaFox|SitkaFox]] ([[User talk:SitkaFox|talk]]) 23:45, 17 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
I noticed that the coordinates in the game code are not the same as the coordinates given by &amp;lt;code&amp;gt;[Comic.voyager.pos.x, Comic.voyager.pos.y]&amp;lt;/code&amp;gt;. To convert between the two, multiply the x-coordinate by 2 and the y-coordinate by -2. [[User:Hdjensofjfnen|Hdjensofjfnen]] ([[User talk:Hdjensofjfnen|talk]]) 00:01, 18 December 2022 (UTC)&lt;br /&gt;
: of which one? voyager x pos = 2 * in game x pos? or in game x pos = 2 * voyager x pos?&lt;br /&gt;
&lt;br /&gt;
&amp;quot;Europa's crust, with a single entrance into the core demarcated by an octopus leaving a hole.&amp;quot; - the entrance design is quite a lookalike to the sea level boundaries in ZX Spectrum computer game Scuba Dive from 1983, with octopus guarding the entrance.&lt;br /&gt;
&lt;br /&gt;
; Stitched together image?&lt;br /&gt;
&lt;br /&gt;
Would it be difficult to scrape the coords of everything and stitch it together into one large image/something with zoom-in and out a la those made for [[1110: Click and Drag]]?[[Special:Contributions/172.71.166.122|172.71.166.122]] 00:25, 18 December 2022 (UTC)Bumpf&lt;br /&gt;
: or maybe at least some zoom-out thing i can put into the console? [[Special:Contributions/172.71.30.64|172.71.30.64]] 00:35, 18 December 2022 (UTC)Bumpf&lt;br /&gt;
The pictures are tiles 1024*1024 px, file name as https://xkcd.com/2712/tile/origin_3_3.png, the last two digits varying from 0 to planet size. Done it for Origin but it seems I can't upload a file (?) [[User:Biem|Biem]] ([[User talk:Biem|talk]]) 08:09, 18 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
Already working on this [[User:Majko|Majko]] ([[User talk:Majko|talk]]) 17:14, 18 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
Done: https://drive.google.com/drive/folders/12ZxoMn4Val_9ccJKKE7OMYkfSq54ectq?usp=sharing (turned out it would be a HUGE image so the planets are separate files). I leave adding it to the page to whoever has the permission to upload files here. [[User:Majko|Majko]] ([[User talk:Majko|talk]]) 19:24, 18 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
Basic Zoomable Version here: https://old.reddit.com/r/xkcd/comments/zo07ji/xkcd_2712_static_and_zoomable/ --[[Special:Contributions/172.71.254.46|172.71.254.46]] 04:33, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Different coordinate systems&lt;br /&gt;
&lt;br /&gt;
Coordinates in the game you use to teleport are 2 per pixel ([1000, 0] is 500 pixels from the origin). Coordinates in the json file are 1 per pixel. Should the coordinates in the page be adjusted to be in the &amp;quot;teleport coordinates&amp;quot;? [[User:Majko|Majko]] ([[User talk:Majko|talk]]) 17:14, 18 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Navigation display&lt;br /&gt;
&lt;br /&gt;
I created a simple “navigation panel” to show my current coordinates and velocity; write this into the developer console:&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
document.getElementById('bottom').innerHTML += '&amp;lt;div id=&amp;quot;coorddisplay&amp;quot; style=&amp;quot;position:fixed;top:0;left:0;width:30em;height:2em;background:white;border:1px black solid&amp;quot;&amp;gt;&amp;lt;/div&amp;gt;';&lt;br /&gt;
setInterval(function() { document.getElementById('coorddisplay').innerText = `${Comic.voyager.pos.x.toFixed(2)}, ${Comic.voyager.pos.y.toFixed(2)}; ${Comic.voyager.pos.vx.toFixed(3)}, ${Comic.voyager.pos.vy.toFixed(3)}` }, 500) &lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
--[[User:Mormegil|Mormegil]] ([[User talk:Mormegil|talk]]) 09:00, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
I've expanded on Mormegil's idea to provide a distance to other planets and objects as well, including the light mode button!&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
function round2(num) {&lt;br /&gt;
    return Math.round(num * 100) / 100;&lt;br /&gt;
}&lt;br /&gt;
function distanceTo(ax, ay) {&lt;br /&gt;
    return Math.sqrt(Math.pow(ax - pos.x,2) + Math.pow(ay - pos.y, 2))&lt;br /&gt;
}&lt;br /&gt;
function planetIsNearby(p) {&lt;br /&gt;
    const [px,py] = p.loc()&lt;br /&gt;
    d = distanceTo(px, py)&lt;br /&gt;
    const isNearby = d &amp;lt; p.radius * 5;&lt;br /&gt;
    return [d, isNearby]&lt;br /&gt;
}&lt;br /&gt;
function compareDistances(pd1, pd2) {&lt;br /&gt;
    return pd1.d - pd2.d;&lt;br /&gt;
}&lt;br /&gt;
function objectIsNearby(o) {&lt;br /&gt;
    d = distanceTo(o.x, o.y)&lt;br /&gt;
    const isNearby = d &amp;lt; 250;&lt;br /&gt;
    return [d, isNearby]&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
comic = window.Comic&lt;br /&gt;
voyager = comic.voyager&lt;br /&gt;
opts = voyager.opts&lt;br /&gt;
pos = voyager.pos&lt;br /&gt;
remainingObjects = [...opts.objects];&lt;br /&gt;
&lt;br /&gt;
let planets = [&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;b612&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:82,&amp;quot;gravity&amp;quot;:60,&amp;quot;x&amp;quot;:5220,&amp;quot;y&amp;quot;:-7400},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;dogplanet&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:337,&amp;quot;gravity&amp;quot;:600,&amp;quot;x&amp;quot;:2480,&amp;quot;y&amp;quot;:-22460},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;earth&amp;quot;,&amp;quot;width&amp;quot;:16384,&amp;quot;height&amp;quot;:16384,&amp;quot;radius&amp;quot;:3275,&amp;quot;gravity&amp;quot;:21000,&amp;quot;x&amp;quot;:28720,&amp;quot;y&amp;quot;:-28720},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;enterprise&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:160,&amp;quot;gravity&amp;quot;:200,&amp;quot;x&amp;quot;:2020,&amp;quot;y&amp;quot;:-60880},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;europa&amp;quot;,&amp;quot;width&amp;quot;:8192,&amp;quot;height&amp;quot;:8192,&amp;quot;radius&amp;quot;:1625,&amp;quot;gravity&amp;quot;:5000,&amp;quot;x&amp;quot;:26360,&amp;quot;y&amp;quot;:5080},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;goodhart&amp;quot;,&amp;quot;width&amp;quot;:8192,&amp;quot;height&amp;quot;:8192,&amp;quot;radius&amp;quot;:1625,&amp;quot;gravity&amp;quot;:9000,&amp;quot;x&amp;quot;:-26600,&amp;quot;y&amp;quot;:6520},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;greatattractor&amp;quot;,&amp;quot;width&amp;quot;:4096,&amp;quot;height&amp;quot;:4096,&amp;quot;radius&amp;quot;:800,&amp;quot;gravity&amp;quot;:450000,&amp;quot;x&amp;quot;:-594000,&amp;quot;y&amp;quot;:250000},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;japanmoon&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:67,&amp;quot;gravity&amp;quot;:50,&amp;quot;x&amp;quot;:-11860,&amp;quot;y&amp;quot;:11600},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw1&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-63152,&amp;quot;y&amp;quot;:18154},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw10&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:15,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-59032,&amp;quot;y&amp;quot;:12642},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw11&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:12,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-58762,&amp;quot;y&amp;quot;:12496},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw12&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-53664,&amp;quot;y&amp;quot;:11856},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw13&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-63486,&amp;quot;y&amp;quot;:9448},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw14&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-52142,&amp;quot;y&amp;quot;:21648},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw2&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-60422,&amp;quot;y&amp;quot;:17662},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw3&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-55950,&amp;quot;y&amp;quot;:16532},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw4&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-59092,&amp;quot;y&amp;quot;:15942},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw5&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-59582,&amp;quot;y&amp;quot;:15262},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw6&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-58656,&amp;quot;y&amp;quot;:15150},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw7&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-59400,&amp;quot;y&amp;quot;:14852},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw8&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-58330,&amp;quot;y&amp;quot;:14320},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;maw9&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:18,&amp;quot;gravity&amp;quot;:2000,&amp;quot;x&amp;quot;:-61544,&amp;quot;y&amp;quot;:13820},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;nojapan&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:200,&amp;quot;gravity&amp;quot;:80,&amp;quot;x&amp;quot;:-15360,&amp;quot;y&amp;quot;:11700},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;origin&amp;quot;,&amp;quot;width&amp;quot;:4096,&amp;quot;height&amp;quot;:4096,&amp;quot;radius&amp;quot;:630,&amp;quot;gravity&amp;quot;:2300,&amp;quot;x&amp;quot;:0,&amp;quot;y&amp;quot;:0},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;outside&amp;quot;,&amp;quot;width&amp;quot;:16384,&amp;quot;height&amp;quot;:16384,&amp;quot;radius&amp;quot;:125,&amp;quot;gravity&amp;quot;:200,&amp;quot;x&amp;quot;:0,&amp;quot;y&amp;quot;:29000},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;peeler&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:40,&amp;quot;gravity&amp;quot;:50,&amp;quot;x&amp;quot;:-18540,&amp;quot;y&amp;quot;:-1240},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;pigeons&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:160,&amp;quot;gravity&amp;quot;:100,&amp;quot;x&amp;quot;:-18040,&amp;quot;y&amp;quot;:4980},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;present&amp;quot;,&amp;quot;width&amp;quot;:2048,&amp;quot;height&amp;quot;:2048,&amp;quot;radius&amp;quot;:195,&amp;quot;gravity&amp;quot;:300,&amp;quot;x&amp;quot;:45640,&amp;quot;y&amp;quot;:37840},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;qwantz&amp;quot;,&amp;quot;width&amp;quot;:4096,&amp;quot;height&amp;quot;:4096,&amp;quot;radius&amp;quot;:850,&amp;quot;gravity&amp;quot;:1400,&amp;quot;x&amp;quot;:22120,&amp;quot;y&amp;quot;:-49740},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;remnant&amp;quot;,&amp;quot;width&amp;quot;:4096,&amp;quot;height&amp;quot;:4096,&amp;quot;radius&amp;quot;:537,&amp;quot;gravity&amp;quot;:9000,&amp;quot;x&amp;quot;:39240,&amp;quot;y&amp;quot;:-7600},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;roads&amp;quot;,&amp;quot;width&amp;quot;:16384,&amp;quot;height&amp;quot;:16384,&amp;quot;radius&amp;quot;:30,&amp;quot;gravity&amp;quot;:40,&amp;quot;x&amp;quot;:26480,&amp;quot;y&amp;quot;:23020},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;soupiter&amp;quot;,&amp;quot;width&amp;quot;:4096,&amp;quot;height&amp;quot;:4096,&amp;quot;radius&amp;quot;:812,&amp;quot;gravity&amp;quot;:1300,&amp;quot;x&amp;quot;:-16000,&amp;quot;y&amp;quot;:18080},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;steerswoman&amp;quot;,&amp;quot;width&amp;quot;:4096,&amp;quot;height&amp;quot;:4096,&amp;quot;radius&amp;quot;:520,&amp;quot;gravity&amp;quot;:600,&amp;quot;x&amp;quot;:-70140,&amp;quot;y&amp;quot;:5000},&lt;br /&gt;
    {&amp;quot;id&amp;quot;:&amp;quot;sun&amp;quot;,&amp;quot;width&amp;quot;:16384,&amp;quot;height&amp;quot;:16384,&amp;quot;radius&amp;quot;:540,&amp;quot;gravity&amp;quot;:9000,&amp;quot;x&amp;quot;:-29900,&amp;quot;y&amp;quot;:-24160}&lt;br /&gt;
]&lt;br /&gt;
for (const planet of planets) {&lt;br /&gt;
    planet.loc = () =&amp;gt; { return [planet.x, planet.y]};&lt;br /&gt;
}&lt;br /&gt;
remainingPlanets = [...planets];&lt;br /&gt;
&lt;br /&gt;
comicElem = document.getElementById('comic');&lt;br /&gt;
posbox = document.createElement(&amp;quot;pre&amp;quot;);&lt;br /&gt;
posbox.id = 'posbox'&lt;br /&gt;
comicElem.after(posbox)&lt;br /&gt;
&lt;br /&gt;
objectNames = ['tintin', 'figure','ship2', 'soccer', 'lightmode'];&lt;br /&gt;
i = 0;&lt;br /&gt;
for (const obj of opts.objects) {&lt;br /&gt;
    obj.id = objectNames[i];&lt;br /&gt;
    i += 1;&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
function decreaseStrongGravity() {&lt;br /&gt;
    //If you get a breakpoint in onTick you should be able to see the closure variable&lt;br /&gt;
    // Hn, and if you set:&lt;br /&gt;
    //     planets = Hn;&lt;br /&gt;
    // In the Console while you are breakpointed there, then this will allow you to&lt;br /&gt;
    // take off from any planet&lt;br /&gt;
    for (const p of planets) {&lt;br /&gt;
        if (p.gravity / (p.radius * p.radius) &amp;gt; 0.02) {&lt;br /&gt;
            p.gravity = 0.02 * (p.radius * p.radius);&lt;br /&gt;
        }&lt;br /&gt;
    }&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
let intv = 0&lt;br /&gt;
if (intv !== 0) {&lt;br /&gt;
  clearInterval(intv);&lt;br /&gt;
}&lt;br /&gt;
intv = setInterval(() =&amp;gt; {&lt;br /&gt;
    const playerPos = `${Math.round(pos.x / 100)}, ${Math.round(pos.y / 100)}`&lt;br /&gt;
    const playerVel = `${round2(pos.vx)}, ${round2(pos.vy)}, ${pos.va}`&lt;br /&gt;
    const planetDistances = [];&lt;br /&gt;
    for (const planet of planets) {&lt;br /&gt;
        const [d, isNearby] = planetIsNearby(planet);&lt;br /&gt;
        if (isNearby) {&lt;br /&gt;
            planetDistances.push({d, s:`  - ${isNearby ? &amp;quot;NEARBY&amp;quot; : &amp;quot;&amp;quot;} ${planet.id}: ${Math.round(d / 100)}`});&lt;br /&gt;
        }&lt;br /&gt;
    }&lt;br /&gt;
    for (const planet of remainingPlanets) {&lt;br /&gt;
        const [d, isNearby] = planetIsNearby(planet);&lt;br /&gt;
        if (!isNearby) {&lt;br /&gt;
            planetDistances.push({d, s:`  - ${isNearby ? &amp;quot;NEARBY&amp;quot; : &amp;quot;&amp;quot;} ${planet.id}: ${Math.round(d / 100)}`});&lt;br /&gt;
        }&lt;br /&gt;
    }&lt;br /&gt;
    planetDistances.sort(compareDistances);&lt;br /&gt;
    // If you're very close to a planet, take it off the list&lt;br /&gt;
    remainingPlanets = remainingPlanets.filter(p =&amp;gt; {const [d, isNearby] = planetIsNearby(p); return !isNearby;})&lt;br /&gt;
&lt;br /&gt;
    const objectDistances = [];&lt;br /&gt;
&lt;br /&gt;
    for (const obj of opts.objects) {&lt;br /&gt;
        const [d, isNearby] = objectIsNearby(obj);&lt;br /&gt;
        if (isNearby) {&lt;br /&gt;
            objectDistances.push({d, s:`  - ${isNearby ? &amp;quot;NEARBY&amp;quot; : &amp;quot;&amp;quot;} ${obj.id}: ${Math.round(d / 100)}`});&lt;br /&gt;
        }&lt;br /&gt;
    }&lt;br /&gt;
    for (const obj of remainingObjects) {&lt;br /&gt;
        const [d, isNearby] = objectIsNearby(obj);&lt;br /&gt;
        if (!isNearby) {&lt;br /&gt;
            objectDistances.push({d, s:`  - ${isNearby ? &amp;quot;NEARBY&amp;quot; : &amp;quot;&amp;quot;} ${obj.id}: ${Math.round(d / 100)}`});&lt;br /&gt;
        }&lt;br /&gt;
    }&lt;br /&gt;
    objectDistances.sort(compareDistances);&lt;br /&gt;
    // If you're very close to a coin or the button, take it off the list&lt;br /&gt;
    remainingObjects = remainingObjects.filter(p =&amp;gt; {const [d, isNearby] = objectIsNearby(p); return !isNearby;})&lt;br /&gt;
&lt;br /&gt;
    posbox.innerHTML = `${playerPos}` + &amp;quot;\n&amp;quot; + `${playerVel}` + &amp;quot;\n&amp;quot; + planetDistances.map(pd =&amp;gt; pd.s).join(&amp;quot;\n&amp;quot;)+ &amp;quot;\n&amp;quot; + objectDistances.map(pd =&amp;gt; pd.s).join(&amp;quot;\n&amp;quot;);&lt;br /&gt;
}, 500);&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
-- [[Special:Contributions/162.158.146.80|162.158.146.80]]&lt;br /&gt;
&lt;br /&gt;
; Inspiration for Japan missing?&lt;br /&gt;
&lt;br /&gt;
Could it be a reference to Japan being absent from maps edited by the PRC's government? For example, this PRC-sponsored video features a map in the intro where Japan is missing. https://youtu.be/e0oJtuljYRo [[User:Ck|Ck]] ([[User talk:Ck|talk]]) 12:58, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
Not just PRC maps. Missing island on stylized world maps are pretty common. See https://old.reddit.com/r/mapswithoutJapan/ and  https://old.reddit.com/r/MapsWithoutNZ/ --[[Special:Contributions/172.70.131.103|172.70.131.103]] 15:01, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
This is no longer plausible when *all* the other, much smaller islands, like especially Corsica and fine detail in the Philippines, are all present and correctly shaped! [[User:Ck|Ck]] ([[User talk:Ck|talk]]) 15:46, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
Perhaps a stretch, but in the Webcomic Starslip Crisis, [https://starslip.krisstraub.com/20050802.shtml Japan successfully launched itself into space]. [[User:Nedlum|Nedlum]] ([[User talk:Nedlum|talk]]) 16:18, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
Apparently you have not read WhatIf 2.  One of the questions is &amp;quot;What if Japan wasn't there&amp;quot; This is a reference to that. [[Special:Contributions/172.69.33.124|172.69.33.124]] 00:02, 20 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
The above assertion is probably/certainly the reason but, going with the general note of missing islands, it's [http://news.bbc.co.uk/1/hi/wales/3715512.stm not always ''islands'' that go inexplicably missing]... ;) [[Special:Contributions/141.101.99.31|141.101.99.31]] 01:41, 20 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Black Hole Maw&lt;br /&gt;
&lt;br /&gt;
Is the cluster of black holes, labeled &amp;quot;maw&amp;quot;, possibly related to the Maw Cluster in Star Wars?[[User:Nedlum|Nedlum]] ([[User talk:Nedlum|talk]]) 17:00, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
In the cluster of the black holes there is a small white planet about the size of the spaceship, which does not appear to show any gravity. It can be found at [-60050, 16150]. --[[Special:Contributions/172.70.246.211|172.70.246.211]] 20:27, 19 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
The &amp;quot;edge of the universe&amp;quot; planet is missing. Teleporting there with the console command teleports you a few seconds of flight between Soupiter and the Milliway Restaurant.&lt;br /&gt;
&lt;br /&gt;
; Jurassic Park ninja&lt;br /&gt;
If you bump into the little dot next to the guy pushing a rock uphill, your spaceship turns into a little ninja guy. Not sure what the reference is.&lt;br /&gt;
: not Jurassic Park. It's on Goodhart. [[Special:Contributions/172.69.69.7|172.69.69.7]] 04:03, 20 December 2022 (UTC)Bumpf&lt;br /&gt;
&lt;br /&gt;
https://xkcd.com/2713/ is up (Data Point).[[Special:Contributions/172.71.222.108|172.71.222.108]] 03:39, 20 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; What If? 1 scenario planet&lt;br /&gt;
Someone put it into the table, but does it really exist? No ID, no transcript, no explanation, no nothing. So I'm probably not the only one who never saw it. --[[Special:Contributions/172.68.110.177|172.68.110.177]] 12:36, 20 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Is the universe infinite&lt;br /&gt;
Space is big. Really, really big. But it's not infinite. Or is it? If you transport to positive coordinates &amp;gt; ~1000001019, the starfield freezes and becomes blurred. However, you still have momentum/can manouevre, and once you reach acceptable coordinates again it unfreezes. If you transport to negative coordinates &amp;lt; ~-2900000000000000000, the starfield looks fine, but you're frozen in place. Firing your rockets will only move you a short hop before you freeze again, until you manage to hop close enough to acceptable coordinates. It turns out physics is not the same everywhere in the universe after all...[[Special:Contributions/172.70.85.175|172.70.85.175]] 12:26, 21 December 2022 (UTC)&lt;br /&gt;
: Floating-point errors [[Special:Contributions/172.70.142.253|172.70.142.253]] 23:53, 21 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Not working at all for me&lt;br /&gt;
If I click and hold on the rocket on the xkcd page, I get a faintish grey copy of it that I can move about within the original pic, or out of the pic into other parts of the window. As soon as I release the button, the grey rocket disappears. What am I missing? [[Special:Contributions/172.70.142.95|172.70.142.95]] 09:35, 22 December 2022 (UTC)&lt;br /&gt;
:That sounds like fairly normal (modern) browser behaviour for 'loose' image objects on a web-page/similar. All controls so far mentioned are via keyboard, and no sign that mouse-control has been implemented in any way. Try cursors/wasd/hjkl (perhaps after a click to 'focus' on the dynamic image?) and it ''should'' work, or at least after a fashion. 13:31, 22 December 2022 (UTC)&lt;br /&gt;
::I eventually worked out that I needed to use the arrow keys, but all I got was a few passing dots that I couldn't interact with, and a lot of time where all there was just the rocket and black space, so I had no way of telling if the rocket was moving or not. No sign of the stuff other people have mentioned here. [[Special:Contributions/162.158.170.228|162.158.170.228]] 08:51, 23 December 2022 (UTC)&lt;br /&gt;
:::It's not guaranteed to work with every browser/platform, and you might just have it unlucky (I can only get it to work on my tablet's Chrome (not the also present Firefox) and it has crashes/oddities that might be resource limits being reached on such a relatively low-powered device. For desktop, I don't use Chrome at all (and I don't have Edge/etc, either), and it really doesn't like my Firefox setup, but that might be my long-standing settings/etc (for historical compatability) rather than innate inability.&lt;br /&gt;
:::For all I know, you're hitting similar roadblocks to (''some'' places for).me. Or perhaps you've just not found the 'touch' (which l, for my tablet/Chrome use, I had to learn and develop to get some sensible 'play' out of it) and so your trans-orbital slingshots are not giving you the chance to convert into any sort of slow-flyby or landing situation. Or a bit of both (technical issues ''and'' (perhaps because of that?) lack of proper practice with sufficient judicious thrust/rotate control. [[Special:Contributions/172.70.86.105|172.70.86.105]] 12:48, 23 December 2022 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Browser must have access to canvas&lt;br /&gt;
In case anyone can't fly the ship at all, the game requires browser to access the canvas, or your ship will be constantly &amp;quot;shielded&amp;quot; and unable to move more than a pixel or two at a time. Privacy-based browsers or those with fingerprint defender add-ons block canvas access or will report fake canvas values, so they must be disabled.&lt;br /&gt;
&lt;br /&gt;
; Janelle Shane&lt;br /&gt;
&lt;br /&gt;
On the &amp;lt;code&amp;gt;present&amp;lt;/code&amp;gt; planet, the woman standing next to the cube with limbs may be Janelle Shane (the author of [https://www.aiweirdness.com/ AI Weirdness]), as the cube drawing bears a resemblance to the little cube robots that she uses in her drawings.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
; Very small asteroid and stick figure&lt;br /&gt;
&lt;br /&gt;
A very small asteroid and stick figure can be found at [36281, -36600] according to console.log([Comic.voyager.pos.x, Comic.voyager.pos.y]) --[[Special:Contributions/172.69.79.137|172.69.79.137]] 11:35, 16 January 2023 (UTC)&lt;br /&gt;
&lt;br /&gt;
; A Little Prince&lt;br /&gt;
&lt;br /&gt;
Near the above asteroid there is a Little Prince planet [35781, -35358].{{unsigned ip|172.71.147.78|19:20, 21 September 2023}}&lt;br /&gt;
&lt;br /&gt;
; Possible reference to &amp;quot;What To Bring&amp;quot;&lt;br /&gt;
&lt;br /&gt;
On the planet &amp;quot;Earth&amp;quot;, there is a White Hat standing next to a Cueball who is holding an object, which resembles the lids held in https://xkcd.com/1890/ . --[[User:1234231587678|1234231587678]] ([[User talk:1234231587678|talk]]) 17:50, 30 December 2023 (UTC)&lt;br /&gt;
&lt;br /&gt;
; Semi-Stable Orbit Around The Great Attractor&lt;br /&gt;
&lt;br /&gt;
By setting [Comic.gravityConstant, Comic.voyager.pos.x, Comic.voyager.pos.y, Comic.voyager.pos.vx, Comic.voyager.pos.vy, Comic.voyager.pos.isLanded] = [14.95, -594000, 251800, 100, 0, false], I am able to obtain a semi-circular orbit around the Great Attractor to admire all its glory. Just posting it here to save anybody in the future some work. --[[User:Mumingpo|Mumingpo]] ([[User talk:Mumingpo|talk]]) 17:44, 29 July 2024 (UTC)&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2593:_Deviled_Eggs&amp;diff=228413</id>
		<title>2593: Deviled Eggs</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2593:_Deviled_Eggs&amp;diff=228413"/>
				<updated>2022-03-15T03:16:38Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: /* Explanation */ elaborate a bit more on the nature of cherenkov radiation&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2593&lt;br /&gt;
| date      = March 14, 2022&lt;br /&gt;
| title     = Deviled Eggs&lt;br /&gt;
| image     = deviled_eggs.png&lt;br /&gt;
| titletext = The foil on the toothpick represents the blue flash.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
{{incomplete|Created by a HEN - Please change this comment when editing this page. Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
A {{w|deviled egg}} is a dish created by cutting a hard-boiled egg into halves and replacing the yolk with a paste frequently made from the yolk itself. Randall Monroe parodies the dish by creating several alternative versions of the dish for other professions using word plays on the name of the dish.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Name&lt;br /&gt;
!Description&lt;br /&gt;
|-&lt;br /&gt;
|Deviled egg&lt;br /&gt;
|The original dish.&lt;br /&gt;
|-&lt;br /&gt;
|Leveled egg&lt;br /&gt;
|Many landscaping projects require a leveled ground to work on{{Citation needed}}. As such, a landscaper may prefer serve their deviled egg with a perfectly flat surface.&lt;br /&gt;
|-&lt;br /&gt;
|Beveled egg&lt;br /&gt;
|Bevel is a design pattern of creating non-perpendicular surfaces between adjacent edges. A designer may prefer to serve their eggs with beveled edges to give their eggs a more modern, aesthetically pleasing look.&lt;br /&gt;
|-&lt;br /&gt;
|Demon egg&lt;br /&gt;
|The {{w|Demon core}} is a piece of sub-critical plutonium created during the Manhattan Project to investigate the properties of criticality. The piece of plutonium got its name from the 2 criticality incidents that occurred when scientists were investigating this property. The first accident resulted in the death of {{w|Harry Daghlian}}. In the second experiment, the core was covered between two neutron reflecting shells separated by a screwdriver. The screwdriver became dislodged, causing the core to become completely covered by the neutron reflecting shell, bringing the core past its criticality limit. A large amount of radiation caused the subsequent death of physicist {{w|Louis Slotin}}. The dome of the boiled egg and the toothpick resemble the configuration of the experiment.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The Demon Core was also referred to in [https://xkcd.com/1242/ 1242: Scary Names].&lt;br /&gt;
&lt;br /&gt;
The title texts revers to the [https://en.wikipedia.org/wiki/Cherenkov_radiation Cherenkov Radiation], a &amp;quot;sonic boom&amp;quot; of blue light created by particles travelling faster than the speed of light in a medium.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
(Below image of ordinary deviled egg) '''Chef''' Deviled Egg (Below image of flat deviled egg resembling half of a hard-boiled egg) '''Landscaper''' Leveled Egg (Below image of egg resembling ordinary deviled egg, except with edges of white chamfered) '''Designer''' Beveled Egg (Below image of egg with hemispherical white as before, but full spherical yolk within and feathered toothpick inserted into core yolk sideways at a slight angle to the equator) '''Physicist''' Demon Egg{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
This comic is one of a limited number containing color; in this case, the yellow of the egg yolk, burnt red of presumably paprika, and blue toothpick foil are the only colors added. The toothpick foil is drawn in a way vaguely resembling arrow feathering.&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2593:_Deviled_Eggs&amp;diff=228412</id>
		<title>2593: Deviled Eggs</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2593:_Deviled_Eggs&amp;diff=228412"/>
				<updated>2022-03-15T03:14:57Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: /* Explanation */ formatting and adding reference to the comic 1242 as the comment suggests.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2593&lt;br /&gt;
| date      = March 14, 2022&lt;br /&gt;
| title     = Deviled Eggs&lt;br /&gt;
| image     = deviled_eggs.png&lt;br /&gt;
| titletext = The foil on the toothpick represents the blue flash.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
{{incomplete|Created by a HEN - Please change this comment when editing this page. Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
A {{w|deviled egg}} is a dish created by cutting a hard-boiled egg into halves and replacing the yolk with a paste frequently made from the yolk itself. Randall Monroe parodies the dish by creating several alternative versions of the dish for other professions using word plays on the name of the dish.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Name&lt;br /&gt;
!Description&lt;br /&gt;
|-&lt;br /&gt;
|Deviled egg&lt;br /&gt;
|The original dish.&lt;br /&gt;
|-&lt;br /&gt;
|Leveled egg&lt;br /&gt;
|Many landscaping projects require a leveled ground to work on{{Citation needed}}. As such, a landscaper may prefer serve their deviled egg with a perfectly flat surface.&lt;br /&gt;
|-&lt;br /&gt;
|Beveled egg&lt;br /&gt;
|Bevel is a design pattern of creating non-perpendicular surfaces between adjacent edges. A designer may prefer to serve their eggs with beveled edges to give their eggs a more modern, aesthetically pleasing look.&lt;br /&gt;
|-&lt;br /&gt;
|Demon egg&lt;br /&gt;
|The {{w|Demon core}} is a piece of sub-critical plutonium created during the Manhattan Project to investigate the properties of criticality. The piece of plutonium got its name from the 2 criticality incidents that occurred when scientists were investigating this property. The first accident resulted in the death of {{w|Harry Daghlian}}. In the second experiment, the core was covered between two neutron reflecting shells separated by a screwdriver. The screwdriver became dislodged, causing the core to become completely covered by the neutron reflecting shell, bringing the core past its criticality limit. A large amount of radiation caused the subsequent death of physicist {{w|Louis Slotin}}. The dome of the boiled egg and the toothpick resemble the configuration of the experiment.&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The Demon Core was also referred to in [https://xkcd.com/1242/ 1242: Scary Names].&lt;br /&gt;
&lt;br /&gt;
The title texts revers to the [https://en.wikipedia.org/wiki/Cherenkov_radiation Cherenkov Radiation], the &amp;quot;sonic boom&amp;quot; created by particles travelling faster than the speed of light in a medium.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
(Below image of ordinary deviled egg) '''Chef''' Deviled Egg (Below image of flat deviled egg resembling half of a hard-boiled egg) '''Landscaper''' Leveled Egg (Below image of egg resembling ordinary deviled egg, except with edges of white chamfered) '''Designer''' Beveled Egg (Below image of egg with hemispherical white as before, but full spherical yolk within and feathered toothpick inserted into core yolk sideways at a slight angle to the equator) '''Physicist''' Demon Egg{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
This comic is one of a limited number containing color; in this case, the yellow of the egg yolk, burnt red of presumably paprika, and blue toothpick foil are the only colors added. The toothpick foil is drawn in a way vaguely resembling arrow feathering.&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=2593:_Deviled_Eggs&amp;diff=228405</id>
		<title>2593: Deviled Eggs</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=2593:_Deviled_Eggs&amp;diff=228405"/>
				<updated>2022-03-15T02:59:08Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: Initial commit.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2593&lt;br /&gt;
| date      = March 14, 2022&lt;br /&gt;
| title     = Deviled Eggs&lt;br /&gt;
| image     = deviled_eggs.png&lt;br /&gt;
| titletext = The foil on the toothpick represents the blue flash.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
{{incomplete|Created by a HEN - Please change this comment when editing this page. Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
A [https://en.wikipedia.org/wiki/Deviled_egg deviled egg] is a dish created by cutting a hard-boiled egg into halves and replacing the yolk with a paste frequently made from the yolk itself. Randall Monroe parodies the dish by creating several alternative versions of the dish for other professions using word plays on the name of the dish.&lt;br /&gt;
&lt;br /&gt;
Many landscaping projects require a leveled ground to work on{{Citation needed}}. As such, a landscaper may prefer serve their deviled egg with a perfectly flat surface.&lt;br /&gt;
&lt;br /&gt;
Bevel is a design pattern of creating non-perpendicular surfaces between adjacent edges. A designer may prefer to serve their eggs with beveled edges to give their eggs a more modern, aesthetically pleasing look.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Demon_core The Demon Core] is a piece of sub-critical plutonium created during the Manhattan Project to investigate the properties of criticality. The piece of plutonium got its name from the 2 criticality incidents that occurred when scientists was working to investigate its property, each resulting in the immediate death of a scientists. In the second accident, the core was covered between two neutron reflecting shells separated by a screwdriver. The screwdriver became dislodged, causing the core become completely covered by the neutron reflecting shell, bringing the core past its criticality limit. A large amount of radiation caused the subsequent death of physicist [https://en.wikipedia.org/wiki/Louis_Slotin Louis Slotin]. Randall Monroe may have created this version to remind the scientific community that sometimes it may take a little more than just a piece of repurposed screwdriver to protect scientists from suffering fatal accidents in the laboratory.&lt;br /&gt;
&lt;br /&gt;
The title texts revers to the [https://en.wikipedia.org/wiki/Cherenkov_radiation Cherenkov Radiation], the &amp;quot;sonic boom&amp;quot; created by particles travelling faster than the speed of light in a medium.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
(Below image of ordinary deviled egg) '''Chef''' Deviled Egg (Below image of flat deviled egg resembling half of a hard-boiled egg) '''Landscaper''' Leveled Egg (Below image of egg resembling ordinary deviled egg, except with edges of white chamfered) '''Designer''' Beveled Egg (Below image of egg with hemispherical white as before, but full spherical yolk within and feathered toothpick inserted into core yolk sideways at a slight angle to the equator) '''Physicist''' Demon Egg{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
This comic is one of a limited number containing color; in this case, the yellow of the egg yolk, burnt red of presumably paprika, and blue toothpick foil are the only colors added. The toothpick foil is drawn in a way vaguely resembling arrow feathering.&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:2593:_Deviled_Eggs&amp;diff=228397</id>
		<title>Talk:2593: Deviled Eggs</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:2593:_Deviled_Eggs&amp;diff=228397"/>
				<updated>2022-03-15T02:45:27Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
&lt;br /&gt;
First commit was accidentally wiped off because an edit conflict with somebody who changed &amp;quot;created by a bot&amp;quot; to &amp;quot;created by an EGG&amp;quot; :( Am sad now. [[User:Mumingpo|Mumingpo]] ([[User talk:Mumingpo|talk]]) 02:45, 15 March 2022 (UTC)&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:1047:_Approximations&amp;diff=211614</id>
		<title>Talk:1047: Approximations</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=Talk:1047:_Approximations&amp;diff=211614"/>
				<updated>2021-05-06T13:36:15Z</updated>
		
		<summary type="html">&lt;p&gt;Mumingpo: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The US population estimate is now off by 7 million, although 2018 just started. Even so, in December 2017, it would have been 4 million off. [[User:625571b7-aa66-4f98-ac5c-92464cfb4ed8|625571b7-aa66-4f98-ac5c-92464cfb4ed8]] ([[User talk:625571b7-aa66-4f98-ac5c-92464cfb4ed8|talk]]) 00:54, 19 January 2018 (UTC)&lt;br /&gt;
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: Off by 7 million out of 7-8 billion means that it's accurate to one part in 1,000. That's consistent with it's location in the chart -- next to other values that are accurate to 1 in 1,000. {{unsigned|Redbelly98}}&lt;br /&gt;
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The world population estimate is still accurate to within .1 billion. [[Special:Contributions/162.158.63.28|162.158.63.28]] 13:41, 5 May 2017 (UTC)&lt;br /&gt;
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They're actually quite accurate. I've used these in calculations, and they seem to give close enough answers. '''[[User:Davidy22|&amp;lt;span title=&amp;quot;I want you.&amp;quot;&amp;gt;&amp;lt;u&amp;gt;&amp;lt;font color=&amp;quot;purple&amp;quot; size=&amp;quot;2px&amp;quot;&amp;gt;David&amp;lt;/font&amp;gt;&amp;lt;font color=&amp;quot;green&amp;quot; size=&amp;quot;3px&amp;quot;&amp;gt;y&amp;lt;/font&amp;gt;&amp;lt;/u&amp;gt;&amp;lt;sup&amp;gt;&amp;lt;font color=&amp;quot;indigo&amp;quot; size=&amp;quot;1px&amp;quot;&amp;gt;22&amp;lt;/font&amp;gt;&amp;lt;/sup&amp;gt;&amp;lt;/span&amp;gt;]]'''[[User talk:Davidy22|&amp;lt;tt&amp;gt;[talk]&amp;lt;/tt&amp;gt;]] 14:03, 8 January 2013 (UTC)&lt;br /&gt;
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I only see a use for the liters in a gallon one. The rest are for trolling or simple amusement. The cosine identity bit our math team in the butt at a competition. It was painful. --[[User:Quicksilver|Quicksilver]] ([[User talk:Quicksilver|talk]]) 05:27, 17 August 2013 (UTC)&lt;br /&gt;
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Annoyingly this explanation does not cover 42 properly, it does not say that Douglas Adams got the number 42 from Lewis Carroll, who is more relevant to the page because he was a mathematician named Charles Lutwidge Dodgson. He was obsessed with the number forty-two. The original plate illustrations of Alice in Wonderland drawn by him numbered forty-two. Rule Forty-Two in Alice in Wonderland is &amp;quot;All persons more than a mile high to leave the court&amp;quot;, There is also a Code of Honour in the preface of The Hunting of the Snark, an extremely long poem written by him when he was 42 years old, in which rule forty-two is &amp;quot;No one shall speak to the Man at the Helm&amp;quot;. The queens in Alice Through the Looking Glass the White Queen announces her age as &amp;quot;one hundred and one, five months and a day&amp;quot;, which - if the best possible date is assumed for the action of Through the Looking-Glass - gives a total of 37,044 days. With the further (textually unconfirmed) assumption that both Queens were born on the same day their combined age becomes 74,088 days, which is 42 x 42 x 42. --[[Special:Contributions/139.216.242.254|139.216.242.254]] 02:43, 29 August 2013 (UTC)&lt;br /&gt;
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:: This explanation covers 42 adequately, and would probably be made slightly worse if such information were added. The very widely known cultural reference is to Adams's interpretation, not Dodgson's original obsession. Adding it would be akin to introducing the MPLM into the explanation for the hijacking of Renaissance artists' names by the TMNT. I definitely concede that it does not cover 42 exhaustively, but I think it can be considered complete and in working order without such an addition. If it really irks you, be bold and add it! --[[User:Quicksilver|Quicksilver]] ([[User talk:Quicksilver|talk]]) 00:37, 30 August 2013 (UTC)&lt;br /&gt;
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::: Additionally, the Lewis Carroll idea is only one of several theories about where Douglas Adams got the number from. [[Special:Contributions/162.158.158.87|162.158.158.87]] 20:47, 28 November 2019 (UTC)&lt;br /&gt;
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&amp;quot;sqrt(2) is not even algebraic in the quotient field of Z[pi]&amp;quot; is not correct.  Q is part of the quotient field of Z[pi] and sqrt(2) is algebraic of it.  The needed facts are that pi is not algebraic, but the formula implies it is in Q(sqrt(2)).  --DrMath 06:47, 7 September 2013 (UTC)&lt;br /&gt;
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13/15 is a better approximation to sqrt(3)/2 than is e/pi.  Continued fraction approximations are great! --DrMath 07:23, 7 September 2013 (UTC)&lt;br /&gt;
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How could he forget 1 gallon ≈ 0.1337 ft³?! [[Special:Contributions/67.188.195.182|67.188.195.182]] 00:51, 8 September 2013 (UTC)&lt;br /&gt;
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Worth mentioning that Wolfram Alpha now officially recognizes the [http://www.wolframalpha.com/input/?i=e%5E-%28%281%2B8%5E%281%2F%28e-1%29%29%29%5E%281%2Fpi%29%29 White House switchboard constant] and the [http://www.wolframalpha.com/input/?i=%287%5E%28e-1%2Fe%29-9%29*pi%5E2 Jenny constant]. [[Special:Contributions/86.164.243.91|86.164.243.91]] 18:28, 8 October 2013 (UTC)&lt;br /&gt;
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Maybe we should add the [Extension:LaTeXSVG LaTeX extension] to make it easier to transcribe these equations. -- [[Special:Contributions/108.162.219.220|108.162.219.220]] 23:02, 16 December 2013 (UTC)&lt;br /&gt;
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;Protip - Does anyone see the correct equation?&lt;br /&gt;
Maybe this is just an other Wolfram Alpha error, like we recently have had here: [[1292: Pi vs. Tau]]. All equations still look invalid to me.&lt;br /&gt;
*''√2 = 3/5 + π/(7-π)'': is impossible because √2 is an irrational number and no equation can match.&lt;br /&gt;
*''cos(π/7) + cos(3π/7) + cos(5π/7) = 1/2'': could only match if ''cos(x) + cos(3x) + cos(5x) = 1/2'' would be valid, because ''π/7'' is also an irrational number.&lt;br /&gt;
*''γ = e/3&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; + e/5 or γ = e/54 + e/5'': would mean that a sum of two irrational numbers do fit to the Gamma Constant. Impossible.&lt;br /&gt;
*''√5 = 13 + 4π / 24 - 4π'': √5 and π are irrational numbers, there is no way to match them in any equation like this.&lt;br /&gt;
*''Σ 1/n&amp;lt;sup&amp;gt;n&amp;lt;/sup&amp;gt; = ln(3)&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt;'': doesn't make any sense either.&lt;br /&gt;
Maybe [[:Category:Comics featuring Miss Lenhart|Miss Lenhart]] can help.&lt;br /&gt;
--[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 21:41, 17 December 2013 (UTC)&lt;br /&gt;
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cos(π/7) + cos(3π/7) + cos(5π/7) = 1/2 is exactly correct. &lt;br /&gt;
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Let a=π/7, b=3π/7, and c=5π/7, then &lt;br /&gt;
(cosa+cosb+cosc)⋅2sina=2cosasina+2cosbsina+2coscsina=sin2a+sin(b+a)−sin(b−a)+sin(c+a)−sin(c−a)=sin(2π/7)+sin(4π/7)−sin(2π/7)+sin(6π/7)−sin(4π/7)=sin(6π/7)=sin(π/7)=sina&lt;br /&gt;
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Hence, cos(π/7) + cos(3π/7) + cos(5π/7) = sin(π/7) / 2sin(π/7) = 1/2&lt;br /&gt;
[[Special:Contributions/108.162.216.74|108.162.216.74]] 01:57, 16 January 2014 (UTC)&lt;br /&gt;
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:What is this: sin(6π/7)=sin(π/7) ? A new math is born... --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 20:49, 16 January 2014 (UTC)&lt;br /&gt;
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::Actually it does. My proof is geometric: the sines of two supplementary angles (angle a + angle b = π (in radians)) are equivalent because they necessarily have the same x height in a Cartesian plane. Look on a unit circle, or even a sine function. Also, Calculus and most other mathematics use radians over degrees because they make the functions simpler and eliminate irrationality when a trig function shows up, but physics uses degrees because it's easier to understand and taught first. Anonymous 01:27, 13 February 2014 (UTC)&lt;br /&gt;
::As an aside, just how far along in math are you? Radian measure is taught in high school (at least the good ones). Anonymous 13:24, 13 February 2014 (UTC)&lt;br /&gt;
:::Sure, I was wrong at my last statement. sin(6π/7)=sin(π/7) is correct by using the radian measure. But just change π/7 to π/77 would give a very different result on that formular here. I still can't figure out why PI divided by the number 7 should be that unique, PI divided by 77 should be the same. My fault is: I still can't find the Nerd Sniping here. And we all do know that Randall did use wrong WolframAlpha results here. According to the last question: I'm very well on Math, that's because I want to understand this. This is like 0.999=1. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 22:01, 13 February 2014 (UTC)&lt;br /&gt;
::::Ah, I see. I think it has to do with the way e^i*π breaks down, as one of the answers shown in the corresponding link explains, but other answers rely on various angle identities (including the supplementary sines one in the proof above). Anonymous 03:10, 14 February 2014 (UTC) (PS, have you checked [[545]] lately? I answered your question there, too)&lt;br /&gt;
:::::As per the derivation from january 16 , you can use any a,b,c that satisfies this set of equations: 2 a = b - a,  a + b = c- a,  c + a = π - a. This is due to the fact that sin(x) = sin(π-x), and what was derived the 16th. [[Special:Contributions/173.245.53.199|173.245.53.199]] 12:38, 21 February 2014 (UTC)&lt;br /&gt;
:::: Dgbrt: If not convinced by the proofs linked to in the &amp;quot;explanation&amp;quot; part, you might want to try this: [http://www.wolframalpha.com/input/?i=sum_%28k%3D0%29%5E38+cos%281%2F77+%282+k%2B1%29+pi%29]. I'm sure you'll find inspiration for similar formulas using PI over [any odd integer]. Your assumption that Randall used WolframAlpha for this very identity is probably wrong. This is a very well-known formula that appears in many high school books, and I am pretty sure it is part of Randall's culture. And this has nothing to do with 1=1. As for your original post,&lt;br /&gt;
::::*√2 = (√2-1)/((4-2)π/2-π)+1 : Is this what you call &amp;quot;matching an equation&amp;quot; to √2?&lt;br /&gt;
::::*So what you mean is that if an equation is true for an irrational number, then it must be for any real number? Like, (√2)^2 = 2, but because √2 is irrational, then x^2=2 (for all x?)&lt;br /&gt;
::::*This one's a bit tough. You will probably agree that γ-√2 is irrational. And so is √2. What about their sum?&lt;br /&gt;
::::*Well, maybe it doesn't to you. But is Σ n&amp;lt;sup&amp;gt;-2&amp;lt;/sup&amp;gt; = π^2/6 any better? Well, this one is true (using Fourier's expansion of the rectangular function). &lt;br /&gt;
::::Finally,&lt;br /&gt;
::::*√2 = 3/5 + π/(7-π) is false because it would imply that π is an algebraic number&lt;br /&gt;
::::*cos(π/7) + cos(3π/7) + cos(5π/7) = 1/2 is true, and proven by many&lt;br /&gt;
::::*γ = e/3&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt; + e/5 seems false. But there doesn't seem to be a quick way to disprove.&lt;br /&gt;
::::*Σ 1/n&amp;lt;sup&amp;gt;n&amp;lt;/sup&amp;gt; = ln(3)&amp;lt;sup&amp;gt;e&amp;lt;/sup&amp;gt; seems false, but I can't see why. [[Special:Contributions/108.162.210.234|108.162.210.234]] 09:15, 11 May 2014 (UTC)&lt;br /&gt;
::Dgbrt, yes, sin(6π/7)=sin(π/7).  Simple proof: sin(6π/7)=sin(π-π/7)=sin(π)cos(-π/7)+cos(π)sin(-π/7)=0*cos(-π/7)+(-1)*(-sin(π/7))=0+sin(π/7)=sin(π/7)  [[Special:Contributions/108.162.215.89|108.162.215.89]] 02:34, 20 May 2014 (UTC) &lt;br /&gt;
;So, still incomplete?&lt;br /&gt;
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Where's our (in)complete judge? [[Special:Contributions/199.27.128.186|199.27.128.186]] 19:21, 18 December 2013 (UTC)&lt;br /&gt;
:The protip is still a mystery. I'm calling for help a few lines above. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 21:16, 18 December 2013 (UTC)&lt;br /&gt;
::The cosine one, in radians, is correct [[Special:Contributions/141.101.88.225|141.101.88.225]] 12:54, 28 April 2014 (UTC)&lt;br /&gt;
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The 'Seconds in a year' ones remind me of one of my favorite quotes: &amp;quot;How many seconds are there in a year? If I tell you there are 3.155 x 10^7, you won't even try to remember it. On the other hand, who could forget that, to within half a percent, pi seconds is a nanocentury&amp;quot; -- Tom Duff, Bell Labs. [[User:Beolach|Beolach]] ([[User talk:Beolach|talk]]) 19:14, 17 April 2014 (UTC)&lt;br /&gt;
:Please do not change former discussions. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 23:57, 17 April 2014 (UTC)&lt;br /&gt;
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;cos(pi/7) + cos(3pi/7) + cos(5pi/7) = 1/2 ???&lt;br /&gt;
Why the hell the divider seven makes the difference?&lt;br /&gt;
*cos(pi) + cos(3*pi) + cos(5*pi) = -3&lt;br /&gt;
*cos(pi/8) + cos(3*pi/8) + cos(5*pi/8) = 0.92387953251128675612818318939678828682241662586364...&lt;br /&gt;
So why the &amp;quot;magic&amp;quot; prime number seven produces this exact result? I know radians and π/7 is just a small part of a circle which is 2π. One prove claims that sin(6π/7) equals to sin(π/7); my best calculator can't show a difference. Of course sin(6π) equals to sin(π), in radians, BUT sin(6π/8) is NOT equal to sin(π/8). So if the number 7 plays a magic rule here this would be &amp;quot;one of the&amp;quot;, no... the BIGGEST mystery in mathematics forever. --[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 23:03, 16 May 2014 (UTC)&lt;br /&gt;
:Dgbrt, please see my answer from 11 May 2014 up there. Any odd integer will do, as long as you sum enough of cos(pi/[thing]). &lt;br /&gt;
:*Let's try with 5 : cos(pi/5) + cos (3pi/5) = 1/2.&lt;br /&gt;
:*With 9 : cos(pi/9)+ cos(3pi/9) + cos (5pi/9) + cos(7pi/9) = 1/2&lt;br /&gt;
: No big mystery around here. Just a beautiful formula :) I think there are similar formulas with cosines and even integers. I'll post them here if I have time. [[User:Varal7|Varal7]] ([[User talk:Varal7|talk]]) 09:56, 17 May 2014 (UTC)&lt;br /&gt;
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::You mixing up to different equations and even not prove them. If there is any prove to a mathematician I would accept and include a proper explain for non math people here. We still have to find a prove. And I do not trust my calculators, we just have to explain why even cos(pi/5) + cos (3pi/5) is also nearly the same. This issue is still not explained. So please give us a explain. And a PROTIP: This does not work with Integers, PI is infinite--[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 17:55, 17 May 2014 (UTC)&lt;br /&gt;
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:::Okay. If I understood what you said.&lt;br /&gt;
:::* I mix up different topics. -&amp;gt; True. From now on, we'll just focus on the cosine one.&lt;br /&gt;
:::* You ask for a proof/explanation. -&amp;gt; My opinion is those are two different requests. Maybe that's why you use the distinction between math people/not math people. For a proof, please read further. What I exposed above are just other &amp;quot;fun experiments&amp;quot; we could do. e.g : [http://www.wolframalpha.com/input/?i=cos%28pi%2F11%29%2Bcos+%283pi%2F11%29+%2B+cos+%285pi%2F11%29+%2B+cos+%287pi%2F11%29%2Bcos+%289pi%2F11%29].&lt;br /&gt;
:::* You do not trust your calculators -&amp;gt; Great. I don't either. (Well more accurately, I trust mine to 10^-8, so I would definitely not use it to prove any of the discussed equations in PROTIP). That's why we'll prove the formulas we assert.&lt;br /&gt;
:::* &amp;quot;This does not work with integers&amp;quot; -&amp;gt; Well, I got myself misunderstood. It would probably have been better if I had said: the following formula is true for all integer n. sum_{k=0}^{n-1}{cos((2k+1)*pi/(2n+1)). But It's harder to read, so just say. Choose any odd integer, say N=2n+1. Then start the following sum. cos(pi/N) + cos(3pi/N) + …  and stop when the numerator is cos((N-2)pi/N). Then the result is 1/2. And that's what we'll prove, a few lines down from here.&lt;br /&gt;
:::*&amp;quot;Pi is infinite&amp;quot; -&amp;gt; That's a common misconception. What you mean is, Pi is irrational. (Fun fact: Pi is a transcendental number. Quite difficult theorem. Lindeman proved it in 1882. Hence, if we identify the real number x with the Q-vector space Q[x], it would make sense to say that &amp;quot;x is infinite&amp;quot; because, the Q-vector space Q[x] is indeed of infinite dimension. But then, that's not what mathematicians do). I think Vi Hart made a video where she addresses this issue (or was it someone else?). Anyway, I might come to that point some other time in the future.&lt;br /&gt;
:::Okay, so now let's first prove the protip formula. Well first, here is the link that the explainxkcd wiki points to: [http://math.stackexchange.com/questions/140388/how-can-one-prove-cos-pi-7-cos3-pi-7-cos5-pi-7-1-2]. Most of them are correct. Some are more ugly than others. I'll adapt the last one.&lt;br /&gt;
::: We need a [http://en.wikipedia.org/wiki/Complex_number complex numbers]. (I choosed this because I think explainxkcd readers are fine with this. See comic [http://explainxkcd.com/179/ 179]). I will be using dots to show the steps of my proof. Please allow me an extra level of indent for clarity's sake.&lt;br /&gt;
:::'''Proof'''&lt;br /&gt;
:::: *Let z be a primitive 14-th [http://en.wikipedia.org/wiki/Root_of_unity root of unity] (the reader doesn't need to understand the 3 last words). Just say z = exp(i*pi/7) = cos(pi/7) + i sin(pi/7). Using [http://en.wikipedia.org/wiki/Euler%27s_formula Euler's formula].&lt;br /&gt;
:::: *We have z^14-1 = (exp(i*pi/7))^14-1 = exp(i*2pi) - 1 = 0. Using exponential law for integer powers, as seen in this article: [http://en.wikipedia.org/wiki/De_Moivre%27s_formula De Moivre's formula].&lt;br /&gt;
:::: *Now let's factor:  z^14-1 = (z^7-1)(z^7+1) = (z^7-1)(z+1)(z^6-z^5+z^4-z^3+z^2-z+1) = (z^7-1)(z+1)*Phi_14(z). where Phi_14(X)= X^6-X^5+X^4-X^3+X^2-X+1, (see [http://en.wikipedia.org/wiki/Cyclotomic_polynomial cycltomic polynomial]). Now, because z^7-1 = (exp(i*pi/7))^7-1 = exp(i*pi)-1 = -2. And because z is not -1, the two first factors are not 0 so, Phi_14(z) = 0, which is already a pretty awesome equality.&lt;br /&gt;
:::: *Note that exp(i*pi/7)*exp(i*6pi/7)= exp(i*pi)=-1. So the inverse of z is -exp(i*6pi/7). But we also know that it is exp(-i*pi/7). Well. That was just a fancy way to prove that exp(-i*pi/7) = - exp(i*6pi/7). Good enough. The same holds for exp(-i*3pi/7) = exp(i*14pi/7)*exp(-i*3pi/7)=exp(i*11pi/7)=exp(i*7pi/7)*exp(i*4pi/7)=-exp(i*4pi/7). And the exact same calculation shows that exp(-i*5pi/7)=-exp(i*2pi/7). Alright.&lt;br /&gt;
:::: *Now, use that for any x, we have cos(x) = (exp(ix)+exp(-ix))/2. See [http://en.wikipedia.org/wiki/Euler%27s_formula#Relationship_to_trigonometry here]. Let's calculate twice the sum of the left hand side. 2(cos(pi/7)+cos(3pi/7)+cos(5pi/7))= exp(i*pi/7) + expi(-i*pi/7) + exp(3pi/7) + exp(-3pi/7) + exp(5pi/7) +exp(-5pi/7) = exp(i*pi/7)-exp(i*2pi/7)+exp(i*3pi/7)-exp(i*4pi/7)+exp(i*5pi/7)-exp(i*6pi/7) = -Phi_14(z) +1 = 1.&lt;br /&gt;
:::: * So dividing both sides by 2, we get what we want. Pfew. &lt;br /&gt;
::: '''Why is 7 so special? Well it isn't.''' Let's prove it for 9. &lt;br /&gt;
::::* Let z = exp(i*pi/9) = cos(pi/9) + i sin(pi/9). We have z^18-1 = 0, and z^9-1 and z+1 are not 0, so using the same factorisation, Phi_18(z) = z^8-z^7+z^6-z^5+z^4-z^3+z^2-z+1 = 0. &lt;br /&gt;
::::* Hence, the conclusion follow from: 2(cos(pi/9) + cos(3pi/9) + cos(5pi/9) + cos(7pi/9)) = exp(i*pi/9) + exp(-i*pi/9) + exp(i*3pi/9) + exp(-i*3pi/9) + exp(i*5pi/9) + exp(-i*5pi/9) + exp(i*7pi/9) + exp(-i*7pi/9) = -Phi_18(z)+1 = 1. &lt;br /&gt;
::: Well, well. I hope you kinda see the pattern. Dgbrt, I know you hate typos, and I'm pretty sure that in this long text lay many of them. So I apologize, and I will correct them later. The following paragraph was posted after I started my text but before I finished mine. It wasn't signed so I will just leave it down there. It's another valid straightforward proof. Oh. And Friendly TIP: Don't say protip when you're not pro. [[User:Varal7|Varal7]] ([[User talk:Varal7|talk]]) 21:50, 17 May 2014 (UTC)&lt;br /&gt;
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The valid identity cos(pi/7)+cos(3pi/7)+cos(5pi/7)=1/2 was correctly proved by the writer at 108.162.216.74 above. For a different proof, consider the complex number z = cos(pi/7)+i sin(pi/7) corresponding to rotation of the complex plane by pi/7 radians, i.e., 1/14th of a full rotation. It satisfies z^{14} -1 = 0 (z to the fourteenth is one). Dividing by z-1 gives z^{13} + z^{12} + ... + z + 1 = 0. The same argument, starting with z^2 corresponding to 1/7th of a full rotation, gives z^{12} + z^{10} + ... z^2 + 1 = 0. Taking the difference, we get z^{13} + z^{11} + ... + z^3 + z = 0.  Looking only at the real parts, we get cos(13pi/7) + cos(11pi/7) + cos(9pi/7) + cos(7pi/7) + cos(5pi/7) + cos(3pi/7) + cos(pi/7) = 0. Here cos(13pi/7) = cos(pi/7), cos(11pi/7) = cos(3pi/7) and cos(9pi/7) = cos(5pi/7), since cos is even and 2pi-periodic. Finally cos(7pi/7) = -1, so 2(cos(pi/7) + cos(3pi/7) + cos(5pi/7)) - 1 = 0, which you can rewrite as the desired identity. All of this can be clearly visualized using a regular 14-gon, so a proof with pictures is possible. {{unsigned ip|141.101.81.216}}&lt;br /&gt;
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;99 is sexual reference?&lt;br /&gt;
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In first explanation it says: &amp;quot;99^8 and 69^8 are sexual references&amp;quot;. 69 I understand, but what would 99 refer too? &lt;br /&gt;
--[[Special:Contributions/173.245.53.167|173.245.53.167]] 17:38, 18 May 2014 (UTC)&lt;br /&gt;
: see [[487: Numerical Sex Positions]][[Special:Contributions/141.101.70.181|141.101.70.181]] 15:33, 20 July 2014 (UTC)&lt;br /&gt;
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I'd add pi = (9^2 + (19^2)/22)^(1/4) [[Special:Contributions/198.41.230.73|198.41.230.73]] 02:41, 13 May 2015 (UTC)&lt;br /&gt;
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'''Yet another proof of cos(π/7) + cos(3π/7) + cos(5π/7) = 1/2''' — Use the multi-angle formula cos(7θ) = 64(cos θ)^7 − 112(cos θ)^5 + 56(cos θ)^3 − 7(cos θ),&lt;br /&gt;
and assume cos(7θ)=−1; then 7θ=π, 3π, 5π, 7π, etc.&lt;br /&gt;
Let x=cos θ, then x = cos(π/7), cos(3π/7), cos(5π/7), cos(7π/7), etc.&amp;lt;br /&amp;gt;&lt;br /&gt;
Now one could actually solve 64x^7 − 112x^5 + 56x^3 − 7x + 1 = (x+1)(8x^3 − 4x^2 − 4x + 1)^2 = 0,&lt;br /&gt;
but it’s easier to argue that cos(π/7), cos(3π/7), cos(5π/7) are the 3 roots of the cubic equation 8x^3 − 4x^2 − 4x + 1,&lt;br /&gt;
and so (using the relationship of the roots and the coefficients) their sum is −(−4)/8 = 1/2.&lt;br /&gt;
[[User:Yosei|Yosei]] ([[User talk:Yosei|talk]]) 08:19, 17 February 2019 (UTC)&lt;br /&gt;
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'''One step closer to the elusive log(x)^e&lt;br /&gt;
In searching for an error correction term of the Taylor expansion of -x log(x) at degree n around 1, I found the term (1 - x)^(n * e)/n. It felt so close to having an actual log(x)^e appearing in a useful equation...&lt;br /&gt;
Hope I would be able to see one someday. [[User:Mumingpo|Mumingpo]] ([[User talk:Mumingpo|talk]]) 13:36, 6 May 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>Mumingpo</name></author>	</entry>

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