688: Self-Description

2024-04-20T00:47:42Z

SliceThePi: Fixed grammatical errors and added additional detail where needed.

{{comic
| number = 688
| date = January 13, 2010
| title = Self-Description
| image = self_description.png
| titletext = The contents of any one panel are dependent on the contents of every panel including itself. The graph of panel dependencies is complete and bidirectional, and each node has a loop. The mouseover text has two hundred and forty-two characters.
}}

==Explanation==
This comic is {{w|Self-reference|self-referential}} because every graph is dependent on the whole comic. If you were to change anything in the comic, you would change the ink distribution, and would therefore have to update all three graphs. This would result in further changes that would have to be considered. This comic might be inspired by [https://www.smbc-comics.com/comic/2007-07-05 SMBC].

In the first panel's {{w|pie chart}}, "this image" refers to the entire comic image, the one that can be downloaded from xkcd (and the entire comic as displayed here above). This is a little confusing as it would be easy to misunderstand this meaning, and believe that the first panel only refers to itself. The title text though makes it clear that it is the entire comic that is called image here. The image size is 740x180 or 133200 pixels. Out of those, 14228 pixels are black (gray pixels are accounted based on their brightness). The ratio of black pixels to the size of the image is 0.1068, so the pie chart segment describing black part should be about 38.5 degrees wide, which is indeed true for the pie chart in the image.

In the second panel the amount of black used in each panel is displayed in a {{w|bar chart}}. This actually makes this panel the one that uses most black. The first panel (including the border) has 4944 black pixels, the second 6180 and the third 3103. The first bar is about 70 pixels high, the second about 87 and the third about 43, which roughly checks out. It is hard to measure the exact height of the bars as the axis and bars themselves are not straight.

The third panel features a {{w|scatter plot}} labeled "Location of black ink in this image." It is the first {{w|Quadrant (plane geometry)|quadrant}} of a {{w|Cartesian coordinate system|cartesian plane}} with the zeroes marked. The graph is the whole comic scaled proportionally to fit the axes, so the last panel also has to contain an image of itself having an image of itself ad infinitum thus displaying the {{w|Droste effect}}, a type of visual {{w|recursion}}.

The title text refers to the comic's own self-reference, but it is also self-referencing because of the character count in it. It would be difficult to write this sentence, as just one more character would not be solved by writing 243, as "three" has two more characters than "two", and "four" has only one more character...

"The graph of panel dependencies is complete and bidirectional, and every node has a loop." This means that if we draw a dot corresponding to each panel, and then we draw arrows connecting the dots to indicate dependencies, the resulting {{w|Graph (discrete mathematics)|graph}} is {{w|complete graph|complete}} (meaning that all the points are connected to one another) and bidirectional (meaning that if point A has an arrow to point B, then point B also has an arrow to point A). "Every node has a loop" means that each point also has an arrow connecting to itself.

This is an observation of the interdependent relationship between description and creation that pertains to all things perceived by humans, including the concept of "Self".

Self-reference was used very early for instance in [[33: Self-reference]], but never so famously as here. See [[:Category:Self-reference|other self-references here]].

==Transcript==
:[A pie chart which is mainly white with a black slice of about 30 degrees towards the bottom left. The two sections are labeled, with a line going from each label into the middle of the corresponding section. The portion of the line within the black section is white to maintain visual contrast.]
:Fraction of this image which is white
:Fraction of this image which is black

:[A bar graph with a label over the Y-axis. There are three black bars with a label below each bar. Bar 1 is of medium height, bar 2 highest and bar 3 the lowest.]
:Amount of black ink by panel:
:1 2 3

:[A scatter-plot with a label over the Y-axis. In the bottom left corner of the graph, the two axes have a tick a short distance from the origin, and these ticks are labeled with zeros. The contents of the graph look like a smaller version of the whole comic, scaled proportionally to fit the axes. The scale is too small for any of the text to be legible, though the text would, presumably, be the same as that noted in this image transcript, which (not including newlines) has 1190 characters when viewed in the editor and 1166 characters after being rendered.]
:Location of black ink in this image:
:0
:0

==Trivia==
* This comic has seen interest from several computer programmers who have [https://mathematica.stackexchange.com/questions/121160/reproducing-the-xkcd-self-description-comic taken up on the challenge] to recreate this comic. Jon McLoone of the Wolfram blog [https://blog.wolfram.com/2010/09/07/self-description/ seems to have done it] quite well.
* The {{w|Mathematical Association of America}} [https://www.maa.org/press/periodicals/math-horizons/the-mathematics-behind-xkcd-a-conversation-with-randall-munroe-0 interviewed] [[Randall Munroe|Randall]] about this topic.
* This is one of the six [[Footer comics|footer comics]] featured in the bottom segment of [https://xkcd.com xkcd.com].
* This comic used to be [https://web.archive.org/web/20211215183603/https://store.xkcd.com/products/self-reference available as a T-shirt] and [https://web.archive.org/web/20220125023401/https://store.xkcd.com/products/signed-prints as a signed print] in the xkcd store before it was [[Store|shut down]].

{{comic discussion}}

[[Category:Pie charts]]
[[Category:Bar charts]]
[[Category:Scatter plots]]
[[Category:Logic]]
[[Category:Footer comics]]
[[Category:Self-reference]]
[[Category:Comics with xkcd store products]]
[[Category:Recursion]]

Talk:99: Binary Heart

2019-03-06T08:39:49Z

SliceThePi:

The l's and 0's in the binary translation make the code: 10101010011010010, which if you remove either the first or the last digit and convert to text make either, ªi OR TÒ which isn't very helpful. {{unsigned|‎LostFire}}

10101010011010010 in hexadecimal is 154D2 which could mean "I'm sad too". [[User:Noit|Noit]] ([[User talk:Noit|talk]]) 00:34, 27 September 2013 (UTC)

I wondered why he didn't include space characters, but then I realized that ASCII 32 makes for too much white space (only one bit is set) which might spoil the random appearance of the background. Also, shouldn't there be a Doctor Who reference in there somewhere? Just saying... [[Special:Contributions/108.162.219.58|108.162.219.58]] 18:28, 24 January 2014 (UTC)

This may be part of the reason for 'O' as well; 'o' only has 2 unset bits. ('O' is '01001111', 'o' is '01101111'). [[Special:Contributions/199.27.128.181|199.27.128.181]] 23:55, 21 January 2015 (UTC)

Maybe the mixture of o's and O's is only there so that the sequence of bits doesn't contain a single repeating sequence.
[[Special:Contributions/108.162.216.84|108.162.216.84]] 20:47, 8 March 2014 (UTC)

On the 'o's and 'O's - Converting 011001110010111 from binary to decimal gives 13207. Googling that number only gives hits about Syracuse. Does anyone know if there's a connection there? [[Special:Contributions/141.101.89.205|141.101.89.205]] 01:04, 18 May 2014 (UTC)

This [http://www.binaryhexconverter.com/binary-to-ascii-text-converter Binary-to-Ascii converter] tool can be used to decode the sequence to a string. --[[User:Pudder|Pudder]] ([[User talk:Pudder|talk]]) 12:23, 18 December 2014 (UTC)

Some of the o's in love are capitalized and some of the o's in you are capitalized but no other letter in any other position has mixed capitalization. If you take a lower case o to be a 0 and a capital o to be a 1, that gives you the string of binary digits: 011001110010111. Unfortunately that is 15 bits, not 16 so not quite enough for two letters, but apparently the first 8 bits are "g". If we append a 0 to the last 7 bits, it becomes "g.", if we use a 1 it becomes "g/". Neither seems likely to be anything that i can tell. in hex, those 15 digits become 0x3397. Appending a 0 it's 0x672E and appending a 1 it's 0x672F. Negating the bits (in case 1's and 0's were reversed) didn't seem to help either unfortunately. I think there is more to the o and O's but not sure what it is :P
[[User:Atrix256|Atrix256]] ([[User talk:Atrix256|talk]]) 02:30, 25 January 2015 (UTC)
: It could be the start of 'g*d'... [[Special:Contributions/141.101.76.16|141.101.76.16]] 16:46, 17 January 2018 (UTC)
: Since letters in ASCII only really use the last 5 bits, I tried splitting that into 3 sections of 5 bits then prefixing each section with '010' or '011' leads to either <code>L\W</code> or <code>l|w</code>. Doing the same with the negated version results in 'SCH' or 'sch'. Doesn't really seem like much to me, but it tickles the "potentially meaningful" spot in my brain... maybe someone else sees something? [[User:SliceThePi|SliceThePi]] ([[User talk:SliceThePi|talk]]) 08:39, 6 March 2019 (UTC)

The heart pattern isn't symmetric, could the masked-out bits make a message? [[Special:Contributions/141.101.64.29|141.101.64.29]] 17:11, 2 February 2015 (UTC)
:The binary of the heart only is 1111101001011111101111010011101100110111011001100111100101001111011101101001011011001110111011001100111001010011110011010010110110111011001001011011010010011100101. I tried entering it into the converter linked to above, and got "�_�;7fyOv��S�-�%��". [[User:Z|Z]] ([[User talk:Z|talk]]) 21:58, 7 February 2016 (UTC)

Somehow despite the comments above, I found this one sweet that Randall drew this. i<3u.Boeing-787lover 07:36, 29 June 2018 (UTC)

using this tool https://www.rapidtables.com/convert/number/binary-to-ascii.html after deleting the spaces between the numbers, it is a repeating pattern of "I love you" with some o's capital and some not

explain xkcd - User contributions [en]

688: Self-Description

Talk:99: Binary Heart