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Generating the P3 Tiling

k-monk.org

44 points by evakhoury · 8 comments

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4 threads
vintagedave

Is Simon Tatham’s site still online? It would not respond when I clicked the link.

The day Paul Bourke’s site goes offline is the day the internet dies. Only slightly kidding: I read it as a teenager and yet it’s still there providing solid code and answers. https://paulbourke.net/miscellaneous/interpolation/ is still there as I read it in 2001.

btbuildem

If you want something truly diabolical, attempt to tile your bathroom with either of those patterns (yes, these tile shapes can be bought).

  • robto

    This is something I'm very interested in, and I've actually found it very difficult to buy these shapes. Do you have a link to a supplier? I've even approached ceramic studios about getting them custom made, but without any real interest.

    Bonus points if you have a supplier for einsteins!

    • btbuildem

      Oh it's been a while since I looked, one of the tile stores I used to go to in Montreal had them -- not as a set mind you, but as two different lines of tiles that happened to be the right proportions to reproduce the pattern.

  • vintagedave

    Assuming you have a tile cutter for when you hit the walls, why is this diabolical? It sounds enormous fun.

  • purpleflame1257

    Famously where Penrose got the idea from in the first place.

Panzerschrek

Once I have implemented such tiling using shadertoy. Source code: https://github.com/Panzerschrek/shader_bits/blob/master/penr.... No recursion is really needed (which isn't supported in shaders), but a plain loop with N iterations to achieve tiling of depth N.

vintagedave

In Anathem, which Penrose tiling was the Teglon?

I have, a bit too late, realized there are more tilings than I thought.

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