A Game of Life on Penrose Tilings

#1

Post by sohkamyung » Thu, Aug 31, 2017, 7:14 AM UTC

A Game of Life on Penrose Tilings
arxiv.org

Re: A Game of Life on Penrose Tilings

#2

Post by dandare » Thu, Aug 31, 2017, 6:34 PM UTC

Once I seriously wanted to have Penrose Tiling tiles in my bathroom but after soon found out nobody manufactures such tiles and would have to produce them manually with a tile cutter.

Re: A Game of Life on Penrose Tilings

#3

Post by kuschku » Thu, Aug 31, 2017, 6:46 PM UTC

dandare wrote: post #2

Once I seriously wanted to have Penrose Tiling tiles in my bathroom but after soon found out nobody manufactures such tiles and would have to produce them manually with a tile cutter.

You could buy mosaic tiles in the forms (they exist), and put those then together.

Re: A Game of Life on Penrose Tilings

#4

Post by coldcode » Thu, Aug 31, 2017, 7:01 PM UTC

The challenging part is deciding what constitutes the 2d map in a non periodic tiling.

Re: A Game of Life on Penrose Tilings

#5

Post by RandomInteger4 » Thu, Aug 31, 2017, 7:06 PM UTC

dandare wrote: post #2

Once I seriously wanted to have Penrose Tiling tiles in my bathroom but after soon found out nobody manufactures such tiles and would have to produce them manually with a tile cutter.

Would probably be easier to rent or buy a kiln and then make your own ceramic tiles. Cutting them after the fact is a frustrating experience.

Re: A Game of Life on Penrose Tilings

#6

Post by swayvil » Thu, Aug 31, 2017, 7:08 PM UTC

Anybody got a link to a working example?

I mean, this seems straightforward enough

This is sorta my field. My goal is pretty pictures. Would this make pretty pictures? I dunno.

ok, here's a link : https://www.youtube.com/watch?v=3DFi4FgzEeQ

Re: A Game of Life on Penrose Tilings

#7

Post by sp332 » Thu, Aug 31, 2017, 7:09 PM UTC

coldcode wrote: post #4

The challenging part is deciding what constitutes the 2d map in a non periodic tiling.

You don't need a 2d map. You define the behavior of the cell in terms of the states of its neighbors.

Re: A Game of Life on Penrose Tilings

#8

Post by swayvil » Thu, Aug 31, 2017, 7:11 PM UTC

coldcode wrote: post #4

The challenging part is deciding what constitutes the 2d map in a non periodic tiling.

It would be the tiling, right?

Am I missing something?

Re: A Game of Life on Penrose Tilings

#9

Post by chromaton » Thu, Aug 31, 2017, 7:16 PM UTC

dandare wrote: post #2

Once I seriously wanted to have Penrose Tiling tiles in my bathroom but after soon found out nobody manufactures such tiles and would have to produce them manually with a tile cutter.

Waterjet cut them from a bigger slab.

Re: A Game of Life on Penrose Tilings

#10

Post by interstitial » Thu, Aug 31, 2017, 7:24 PM UTC

dandare wrote: post #2

Once I seriously wanted to have Penrose Tiling tiles in my bathroom but after soon found out nobody manufactures such tiles and would have to produce them manually with a tile cutter.

The tiles are copyright by Penrose. No one can use them.