File:OT map (Gray, speed colouring).PNG

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OT_map_(Gray,_speed_colouring).PNG(512 × 512 pixels, file size: 72 KB, MIME type: image/png)

Summary

similar to the other images such as File:OT_spaceship_map.png, albeit with rules coloured in accordance with speed, as follows:

  • turn all 358 known spaceship speed-vectors in LaundryPizza03's collection into 251 distinct speeds by the taxicab metric (x+yp), place them evenly spaced around a colour wheel (with triangle waves over each colour channel), and light each one dimly (by a total of 32 points, where a channel requires 256 to be fully lit)
  • for all spaceships in a rule, add together their colours

if you are knowledgeable about Gray codes, you can see that on the left side (without B0), the region with b2 is more purple/indigo/violet, on account of its tendency for photons it is clearer in File:OT_map_(Gray,_speed_colouring)_(annotated).png, this one I am uploading for consistency with the existing two

File history

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Date/TimeThumbnailDimensionsUserComment
current01:42, 4 December 2023Thumbnail for version as of 01:42, 4 December 2023512 × 512 (72 KB)DroneBetter (talk | contribs)similar to the other images such as OT_spaceship_map.png, albeit with rules coloured in accordance with speed, as follows: *turn all 358 known spaceship speed-vectors in [https://conwaylife.com/forums/viewtopic.php?f=11&t=1074&p=146424#p146424 LaundryPizza03's collection] into 251 distinct speeds by the taxicab metric (<tt>{{frac|x+y|p}}</tt>), place them evenly spaced around a colour wheel (with triangle waves over each colour channel), and light each one dimly (by a total of 32 points,...

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