Pentagon Tiling Proof Solves Century-Old Math Problem

Re:Pentagon Tiling Proof Solves Century-Old Math Problem by microcolonel on Tuesday July 11, 2017 @02:33PM (#14746737)

I love that pattern where the pentagons make up hexagons. When I own a house that's going in the kitchen.

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Re:Pentagon Tiling Proof Solves Century-Old Math Problem by steiza_ on Tuesday July 11, 2017 @10:48PM (#14749796)

Many aperiodic tilings rely on "substitutions" which let you express very complicated patterns with some simple recursion.

I've found this maps well to express them in programming languages, like PostScript (although most implementations limit the stack at some point).

For an example of expressing these patterns in PostScript, and what it looks like on closet doors, check out https://github.com/steiza/postscript_fractals

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Re:Pentagon Tiling Proof Solves Century-Old Math Problem by surement on Tuesday July 11, 2017 @04:13PM (#14747622)

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Re:Pentagon Tiling Proof Solves Century-Old Math Problem by pfd1986 on Wednesday July 12, 2017 @01:01AM (#14750216)

you might also enjoy playing with 'ghost diagrams':http://logarithmic.net/pfh/ghost-diagrams

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