5 ms·

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 manua

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.

kuschku 9y ago
You could buy mosaic tiles in the forms (they exist), and put those then together.
RandomInteger4 9y ago
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.
- pbhjpbhj 9y ago
  You'd want a slab roller too so as to get consistent thickness, unless you want a hand-made look.
chromaton 9y ago
Waterjet cut them from a bigger slab.
- huhtenberg 9y ago
  Wouldn't this leave sharp-ish edges?
  - pavel_lishin 9y ago
    Sand 'em down?
  - chromaton 9y ago
    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.
interstitial 9y ago
The tiles are copyright by Penrose. No one can use them.
cpsempek 9y ago
Not Penrose tilings, but my math professor's bathroom floors are pretty cool https://www.math.ucdavis.edu/~greg/floors.html https://www.math.ucdavis.edu/~greg/floors.html
- SubiculumCode 9y ago
  oh holy hell it is going to be hot in Davis tomorrow.
- clusmore 9y ago
  Don Knuth has a dragon curve in the entrance hall to his house: https://www.youtube.com/watch?v=v678Em6qyzk https://www.youtube.com/watch?v=v678Em6qyzk
ghostbrainalpha 9y ago
https://www.math.ucdavis.edu/~greg/images/floor3.jpg https://www.math.ucdavis.edu/~greg/images/floor3.jpg UC Davis Mathmetics Department Bathroom
- sp332 9y ago
  That's not a Penrose tiling. The pieces are the wrong shape. See the description at the bottom of https://www.math.ucdavis.edu/~greg/floors.html https://www.math.ucdavis.edu/~greg/floors.html
- cpsempek 9y ago
  Also not the math dept's bathroom, it's a faculty member's personal bathroom floor.
alejohausner 9y ago
The CS building in Carleton College has them in the lobby: http://www.tilexdesign.com/portfolio/detail.cfm/C/328/Carleton_College http://www.tilexdesign.com/portfolio/detail.cfm/C/328/Carlet...
- qurashee 9y ago
  The Oxford Mathematical Institute has one just outside the entrance. We also have Penrose himself though :P More info: https://www.maths.ox.ac.uk/about-us/life-oxford-mathematics/oxford-mathematics-alphabet/aperiodic-tiles https://www.maths.ox.ac.uk/about-us/life-oxford-mathematics/... http://www.maths.ox.ac.uk/node/865 http://www.maths.ox.ac.uk/node/865
fibo 9y ago
I read that Penrose was planning to create a kid game with his tilings.
shagie 9y ago
While not quite as "oh, that's neat" - a set of Wang dominoes might be interesting to people who know what it is (incidentally, Wang is the logician that had a conjecture that proved false and lead to the aperiodic set that Penrose came up with). One aspect of the "this is undecidable" was that it to prove it is equivalent to solving the Halting Problem. > In 1966, Wang's student Robert Berger solved the domino problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem (the problem of testing whether a Turing machine eventually halts) then implies the undecidability of Wang's tiling problem https://en.wikipedia.org/wiki/Wang_tile https://en.wikipedia.org/wiki/Wang_tile In one of the books I've found - Andrew Glassner's Notebook: Recreational Computer Graphics - they have a set of tiles that implement some program. https://books.google.com/books?id=_4ZMC_QBAC4C&lpg=PP1&dq=Andrew%20Glassner's%20Notebook&pg=PA217#v=onepage&q&f=false https://books.google.com/books?id=_4ZMC_QBAC4C&lpg=PP1&dq=An... (some other Turing machine Wang tile sets - https://grahamshawcross.com/2012/10/12/wang-tiles-and-turing-machines/ https://grahamshawcross.com/2012/10/12/wang-tiles-and-turing... ) All that said - if you're willing to go with printed square tiles that implement an aperiodic tiling with edge rules, that might be an option. And all that said... http://www.tessellations.org/real-materials-tessellations-16.shtml http://www.tessellations.org/real-materials-tessellations-16... is the story of making a Penrose kitchen floor. > A potter friend, Jim Morrison of Cold Mountain Pottery (dot com), made several molds from my cardboard patterns for the two tile shapes. Over a period of several months I made about 1,300 tiles one at a time with the molds. Another option to consider... instead of tile, wood. It might be a bit easier to cut to the right specification, and then use the clear epoxy penny floor approach to protect it.
lovemenot 9y ago
This was done in Uzbekistan in the 15th Century CE. As well as at other Arab locations. http://archive.aramcoworld.com/issue/200905/the.tiles.of.infinity.htm http://archive.aramcoworld.com/issue/200905/the.tiles.of.inf...

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.

kuschku 9y ago

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

RandomInteger4 9y ago

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.

pbhjpbhj 9y ago
You'd want a slab roller too so as to get consistent thickness, unless you want a hand-made look.

chromaton 9y ago

Waterjet cut them from a bigger slab.

huhtenberg 9y ago
Wouldn't this leave sharp-ish edges?
- pavel_lishin 9y ago
  Sand 'em down?
- chromaton 9y ago
  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.

interstitial 9y ago

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

cpsempek 9y ago

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

SubiculumCode 9y ago
oh holy hell it is going to be hot in Davis tomorrow.
clusmore 9y ago
Don Knuth has a dragon curve in the entrance hall to his house: https://www.youtube.com/watch?v=v678Em6qyzk https://www.youtube.com/watch?v=v678Em6qyzk

ghostbrainalpha 9y ago

https://www.math.ucdavis.edu/~greg/images/floor3.jpg https://www.math.ucdavis.edu/~greg/images/floor3.jpg UC Davis Mathmetics Department Bathroom

sp332 9y ago
That's not a Penrose tiling. The pieces are the wrong shape. See the description at the bottom of https://www.math.ucdavis.edu/~greg/floors.html https://www.math.ucdavis.edu/~greg/floors.html
cpsempek 9y ago
Also not the math dept's bathroom, it's a faculty member's personal bathroom floor.

alejohausner 9y ago

The CS building in Carleton College has them in the lobby: http://www.tilexdesign.com/portfolio/detail.cfm/C/328/Carleton_College http://www.tilexdesign.com/portfolio/detail.cfm/C/328/Carlet...

qurashee 9y ago
The Oxford Mathematical Institute has one just outside the entrance. We also have Penrose himself though :P More info: https://www.maths.ox.ac.uk/about-us/life-oxford-mathematics/oxford-mathematics-alphabet/aperiodic-tiles https://www.maths.ox.ac.uk/about-us/life-oxford-mathematics/... http://www.maths.ox.ac.uk/node/865 http://www.maths.ox.ac.uk/node/865

fibo 9y ago

I read that Penrose was planning to create a kid game with his tilings.

shagie 9y ago

While not quite as "oh, that's neat" - a set of Wang dominoes might be interesting to people who know what it is (incidentally, Wang is the logician that had a conjecture that proved false and lead to the aperiodic set that Penrose came up with). One aspect of the "this is undecidable" was that it to prove it is equivalent to solving the Halting Problem. > In 1966, Wang's student Robert Berger solved the domino problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem (the problem of testing whether a Turing machine eventually halts) then implies the undecidability of Wang's tiling problem https://en.wikipedia.org/wiki/Wang_tile https://en.wikipedia.org/wiki/Wang_tile In one of the books I've found - Andrew Glassner's Notebook: Recreational Computer Graphics - they have a set of tiles that implement some program. https://books.google.com/books?id=_4ZMC_QBAC4C&lpg=PP1&dq=Andrew%20Glassner's%20Notebook&pg=PA217#v=onepage&q&f=false https://books.google.com/books?id=_4ZMC_QBAC4C&lpg=PP1&dq=An... (some other Turing machine Wang tile sets - https://grahamshawcross.com/2012/10/12/wang-tiles-and-turing-machines/ https://grahamshawcross.com/2012/10/12/wang-tiles-and-turing... ) All that said - if you're willing to go with printed square tiles that implement an aperiodic tiling with edge rules, that might be an option. And all that said... http://www.tessellations.org/real-materials-tessellations-16.shtml http://www.tessellations.org/real-materials-tessellations-16... is the story of making a Penrose kitchen floor. > A potter friend, Jim Morrison of Cold Mountain Pottery (dot com), made several molds from my cardboard patterns for the two tile shapes. Over a period of several months I made about 1,300 tiles one at a time with the molds. Another option to consider... instead of tile, wood. It might be a bit easier to cut to the right specification, and then use the clear epoxy penny floor approach to protect it.

lovemenot 9y ago

This was done in Uzbekistan in the 15th Century CE. As well as at other Arab locations. http://archive.aramcoworld.com/issue/200905/the.tiles.of.infinity.htm http://archive.aramcoworld.com/issue/200905/the.tiles.of.inf...