Editing Talk:2927: Alphabetical Cartogram

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replaced incorrect explanation [[Special:Contributions/172.70.111.45|172.70.111.45]] 17:17, 1 May 2024 (UTC)
 
replaced incorrect explanation [[Special:Contributions/172.70.111.45|172.70.111.45]] 17:17, 1 May 2024 (UTC)
 
 
Is it me or is Hawaii strangely bigger than california. {{unsigned|172.70.100.40}}
 
Is it me or is Hawaii strangely bigger than california. {{unsigned|172.70.100.40}}
 
:I think he's only counting the land area. The area between the islands may be creating an illusion that Hawaii is bigger. It's hard to tell just by looking, does anyone have the tech to measure this? P.S. remember to sign... [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:11, 1 May 2024 (UTC)
 
:I think he's only counting the land area. The area between the islands may be creating an illusion that Hawaii is bigger. It's hard to tell just by looking, does anyone have the tech to measure this? P.S. remember to sign... [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:11, 1 May 2024 (UTC)
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This map gives a lot more land to Mexico. [[User:Weslar|Weslar]] ([[User talk:Weslar|talk]]) 16:31, 1 May 2024 (UTC)
 
This map gives a lot more land to Mexico. [[User:Weslar|Weslar]] ([[User talk:Weslar|talk]]) 16:31, 1 May 2024 (UTC)
 
:Mexico is not represented at all in the map. And all states are much smaller than in reality (unless you have a very big monitor, c.f. [[2911]]) --[[Special:Contributions/172.71.160.32|172.71.160.32]] 12:30, 2 May 2024 (UTC)
 
:Mexico is not represented at all in the map. And all states are much smaller than in reality (unless you have a very big monitor, c.f. [[2911]]) --[[Special:Contributions/172.71.160.32|172.71.160.32]] 12:30, 2 May 2024 (UTC)
:I think [[User:Weslar|Weslar]] is saying that Mexico gains land, since (historically) it has everything south of Arizona, New Mexico, and Texas. (Source: Just visited the Alamo a couple weeks ago, on an eclipse vacation...) So the fact that the states are smaller makes Texas bigger. ([[User talk:tr0gd0r|talk]])
 
  
 
UNFORTUNATELY it seems that there are many errors in the actual relationship of sizes. I did a quick area take off of each state. These units are in miles using the real width of Colorado (since it is about the same place in the list) as the scale reference. https://imgur.com/a/hKIVjRZ. you can see immediately that Delaware and Alaska and Iowa are incorrect in the order.
 
UNFORTUNATELY it seems that there are many errors in the actual relationship of sizes. I did a quick area take off of each state. These units are in miles using the real width of Colorado (since it is about the same place in the list) as the scale reference. https://imgur.com/a/hKIVjRZ. you can see immediately that Delaware and Alaska and Iowa are incorrect in the order.
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Why the hell is Massachusetts so BIG?! [[User:Psychoticpotato|Psychoticpotato]] ([[User talk:Psychoticpotato|talk]]) 13:01, 2 May 2024 (UTC)
 
Why the hell is Massachusetts so BIG?! [[User:Psychoticpotato|Psychoticpotato]] ([[User talk:Psychoticpotato|talk]]) 13:01, 2 May 2024 (UTC)
 
:To account for all its Mass. [[Special:Contributions/172.71.242.175|172.71.242.175]] 13:51, 2 May 2024 (UTC)
 
:To account for all its Mass. [[Special:Contributions/172.71.242.175|172.71.242.175]] 13:51, 2 May 2024 (UTC)
::I should've seen that coming. [[User:Psychoticpotato|Psychoticpotato]] ([[User talk:Psychoticpotato|talk]]) 15:40, 7 May 2024 (UTC)
 
 
I went further and measured the exact sizes of each state to the pixel: https://imgur.com/a/d6ruHvs really nerd sniped myself lol. The post includes excel screenshots as well as text, and the image I used at the bottom. Will explain methodology if anyone wants. Obviously all these discrepancies are due to the fact that the states actually have to fit together for the joke-map to work. [[User:Paintadot|Paintadot]] ([[User talk:Paintadot|talk]]) 13:48, 2 May 2024 (UTC)
 
:Having the pixel area for each state in the explanation would be really nice! Do you count the "border pixels" (or maybe half of them) to the pixel area? (not sure if that would be sufficient to have Alaska stay atop of Arizona ...) --[[Special:Contributions/172.71.160.32|172.71.160.32]] 14:39, 2 May 2024 (UTC)
 
::As drawn, the borders vary significantly in width. Usually 2 pixels wide, but often 3 or more. Between states, I divided them evenly to the best of my judgment. For the outer borders of the lower 48, Hawai'i, and Alaska, I added roughly one outer pixel. It's possible it could be done better, but it's kind of subjective anyway. Nevertheless it seems a lot of us agree that it's an interesting thing to try to measure. I imagine it was a lot of fun for Randall to try to balance his stated goal with keeping the shapes of the states more or less correct :) [[User:Paintadot|Paintadot]] ([[User talk:Paintadot|talk]]) 16:16, 2 May 2024 (UTC)
 
:I was going to take some time to establish 'drawn areas', myself (perhaps work out if it were contained area, 'hull' area, one-axis scale, etc) and add the likiest metric in the "Alphabetic" group of columns (remember to re-colspan!), but looks like like you've got that covered... [[Special:Contributions/172.71.102.254|172.71.102.254]] 15:10, 2 May 2024 (UTC)
 
::"''I was going to take some time to establish 'drawn areas''"  --- When I was a boy, they had planimeters. You run the pointer around your figure and it computes area with two wheels. Magic? https://www.youtube.com/watch?v=jMvEOmpy8Kw Among other chores, they computed the area of the PV diagram of a steam engine. --[[User:PRR|PRR]] ([[User talk:PRR|talk]]) 20:08, 3 May 2024 (UTC)
 
:::Magic or an application of {{w|Green's theorem}} :) --[[Special:Contributions/198.41.242.211|198.41.242.211]] 12:00, 6 May 2024 (UTC)
 
 
I modified the table to include the data I gathered (https://imgur.com/a/d6ruHvs). I hope that's okay. This is my first contribution ^^' [[User:Paintadot|Paintadot]] ([[User talk:Paintadot|talk]]) 16:15, 2 May 2024 (UTC)
 
 
What definition of 'fair' is Randall using? --[[User:NeatNit|NeatNit]] ([[User talk:NeatNit|talk]]) 15:04, 2 May 2024 (UTC)
 
:{{wiktionary|fair#Adjective|Number 3}} [[Special:Contributions/172.71.102.254|172.71.102.254]] 15:10, 2 May 2024 (UTC)
 
 
replaced incorrect explanation [[Special:Contributions/172.70.230.172|172.70.230.172]] 20:30, 2 May 2024 (UTC)
 
 
The title is written weirdly (to me): "a more fair map". Wouldn't "a fairer map" be more usual? Does anyone know if this phrasing is a reference to something that I'm not getting? --[[Special:Contributions/172.69.79.191|172.69.79.191]] 23:10, 2 May 2024 (UTC)
 
  
Randall talks about the distortion from various map projections time and time again.  Is there a chance that the pixel by pixel analysis that has been performed by us is overlooking the impact of map projection distortion? [[User:Ianrbibtitlht|Ianrbibtitlht]] ([[User talk:Ianrbibtitlht|talk]]) 23:09, 3 May 2024 (UTC)
+
I went further and measured the exact sizes of each state to the pixel: https://imgur.com/a/d6ruHvs really nerd sniped myself lol. The post includes excel screenshots as well as text, and the image I used at the bottom. [[User:Paintadot|Paintadot]] ([[User talk:Paintadot|talk]]) 13:48, 2 May 2024 (UTC)
:O_O Well. That is a fantastic point. It doesn't seem likely that Randall would choose a projection that messes up the entire point of the comic, and the compromise of making the lower 48 fit together is still likely to have been a factor. But I will definitely look into this today and get back to y'all. We can actually figure out the projection, or get close, since the N-S E-W borders are not at parallel to the x and y axes. So it's not Mercator - but duh that would never happen - but it's also not an imaginary "projection" that keeps the borders on the x and y axes but is <i>also</i> somehow equal area. Alaska, oddly, is rotated so its N-S border IS on the y axis. Hawai'i, meanwhile, has been rotated so it's counter clockwise relative to both the axes and to whatever the lower 48 are on. This seems to be so that it fits snugly under the lower 48.[[User:Paintadot|Paintadot]] ([[User talk:Paintadot|talk]]) 07:37, 6 May 2024 (UTC)
 
::Now I feel like I've nerd-sniped you in the worst way!  Sorry.  [[User:Ianrbibtitlht|Ianrbibtitlht]] ([[User talk:Ianrbibtitlht|talk]]) 15:08, 7 May 2024 (UTC)
 

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