Generating the P3 Tiling

k-monk.org

44 points·evakhoury··8 comments

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.

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

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

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

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!

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.

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.

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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