[HN Gopher] Conway's pinwheel tiling
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       Conway's pinwheel tiling
        
       Author : pavel_lishin
       Score  : 33 points
       Date   : 2025-09-27 13:19 UTC (3 days ago)
        
 (HTM) web link (www.johndcook.com)
 (TXT) w3m dump (www.johndcook.com)
        
       | tromp wrote:
       | The bottom of my home page has this as a PostScript signature:
       | %!PS                           % -John Tromp
       | http://tromp.github.io/         /t{dup 1 sub gsave dup 0 gt{[.4
       | .2 -.2 .4 .4 .2]concat t currentgray         .8 mul .2 add
       | setgray -1 1 scale t -1 2 translate t 1 -1 scale t[0 1         1
       | 0 0 2]concat t pop}{0 moveto 1 0 lineto 0 2 lineto closepath clip
       | fill}ifelse grestore}def 10 10 translate 600 600 scale 5 t
       | showpage
       | 
       | which outputs this pinwheel tiling
       | https://tromp.github.io/img/pinwheel.pdf
        
       | ttoinou wrote:
       | Love this tiling ! So beautiful
       | 
       | I made a few pinwheel tilings visualisation on shadertoy
       | https://www.shadertoy.com/results?query=tag%3Dpinwheel including
       | a few original use of pinwheel to simulate a "snake" walking
       | inside the tiling https://www.shadertoy.com/view/4sSBRy . and
       | this one gets really trippy if you wait a few minutes there are
       | interferences patterns in the colors that become really crazy
       | https://www.shadertoy.com/view/XsSfWm
        
       | xvedejas wrote:
       | How could one prove this is aperiodic? I'm guessing maybe you can
       | prove that some or most of the triangles have globally unique
       | rotations regardless of N?
        
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       (page generated 2025-09-30 23:01 UTC)