A Game of Life on Penrose Tilings • Hacker News Board

Re: A Game of Life on Penrose Tilings

#11

Post by pavel_lishin » Thu, Aug 31, 2017, 7:33 PM UTC

coldcode wrote: post #4

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

Isn't it just a graph?

Re: A Game of Life on Penrose Tilings

#12

Post by huhtenberg » Thu, Aug 31, 2017, 7:36 PM UTC

chromaton wrote: post #9

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.

Wouldn't this leave sharp-ish edges?

Re: A Game of Life on Penrose Tilings

#13

Post by pavel_lishin » Thu, Aug 31, 2017, 7:37 PM UTC

huhtenberg wrote: post #12

chromaton wrote: post #9

Earlier quoted context omitted.

Waterjet cut them from a bigger slab.

Wouldn't this leave sharp-ish edges?

Sand 'em down?

Re: A Game of Life on Penrose Tilings

#14

Post by pmoriarty » Thu, Aug 31, 2017, 7:40 PM UTC

Here's a video of the Game of Life on a Penrose Tiling:

https://www.youtube.com/watch?v=3DFi4FgzEeQ

Re: A Game of Life on Penrose Tilings

#15

Post by [deleted] » Thu, Aug 31, 2017, 7:50 PM UTC

coldcode wrote: post #4

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

[deleted]

Re: A Game of Life on Penrose Tilings

#16

Post by undersuit » Thu, Aug 31, 2017, 7:59 PM UTC

pmoriarty wrote: post #14

Here's a video of the Game of Life on a Penrose Tiling: https://www.youtube.com/watch?v=3DFi4FgzEeQ

I love that oscillator down in the bottom right!

Re: A Game of Life on Penrose Tilings

#17

Post by chromaton » Thu, Aug 31, 2017, 8:01 PM UTC

huhtenberg wrote: post #12

chromaton wrote: post #9

Earlier quoted context omitted.

Waterjet cut them from a bigger slab.

Wouldn't this leave sharp-ish edges?

That's probably not great for flooring, but might be fine for walls or a backsplash.

You might be able to relieve the edges by tumbling, but at the cost of changing the surface finish.

Re: A Game of Life on Penrose Tilings

#18

Post by renas » Thu, Aug 31, 2017, 8:06 PM UTC

Game of life? we also have the life lottery

https://lifelottery.github.io/

Re: A Game of Life on Penrose Tilings

#19

Post by cpsempek » Thu, Aug 31, 2017, 8:13 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.

Not Penrose tilings, but my math professor's bathroom floors are pretty cool https://www.math.ucdavis.edu/~greg/floors.html

Re: A Game of Life on Penrose Tilings

#20

Post by ghostbrainalpha » Thu, Aug 31, 2017, 8:19 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.

https://www.math.ucdavis.edu/~greg/images/floor3.jpg

UC Davis Mathmetics Department Bathroom