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I think I am obsessed with aperiodic Penrose tilings. My 21 month old son's room has an area rug with such a tiling. I want to tile a bathroom in my house with

I think I am obsessed with aperiodic Penrose tilings. My 21 month old son's room has an area rug with such a tiling. I want to tile a bathroom in my house with them at some point. If you want to make my day, link a photo you have of one of these IRL. It is such a wicked combination of beauty and math, like fractals.

masfuerte 4y ago
Photos of a Penrose pavement here https://www.maths.ox.ac.uk/outreach/oxford-mathematics-alphabet/aperiodic-tiles https://www.maths.ox.ac.uk/outreach/oxford-mathematics-alpha... and here https://hardscape.co.uk/inspire/case-studies/maths-institute/ https://hardscape.co.uk/inspire/case-studies/maths-institute...
- pmarreck 4y ago
  https://media.giphy.com/media/14vFOciTnQjnl6/giphy.gif https://media.giphy.com/media/14vFOciTnQjnl6/giphy.gif
cwmma 4y ago
A company tried to put it on toilet paper but Roger Penrose claimed ownership so they had to stop http://bit-player.org/2017/sir-roger-penroses-toilet-paper http://bit-player.org/2017/sir-roger-penroses-toilet-paper
- pmarreck 4y ago
  Does he have ownership over ALL aperiodic tilings or just the ones he's come up with? Anyway, that's unfortunate. Can't he just get a cut or something? Also, this all really begs the question as to whether this is an "invention" or just "math". Imagine if Newton's heirs had to get a cut every time Newtonian physics was used (or calculus for that matter... splitting it with Leibniz's heirs)
- layer8 4y ago
  Since it’s aperiodic, shouldn’t he only be able to claim copyright on the configurations he actually produced? Algorithms aren’t copyrightable, only concrete works fixed in a medium of expression.
madcaptenor 4y ago
Where can I get such a rug? I fixed up my home office a couple years ago and it's nice except I need a rug both to make it look nice and to absorb some sound.
- pmarreck 4y ago
  I was wrong. I found something that resembled such a tiling, but was not, in fact, such a tiling. It was a fallback position. :/ If you do find any such thing, please let me know!
  - madcaptenor 4y ago
    I searched a bit and found some on society6: https://society6.com/product/penrose-tiling6298504_rug?sku=s6-22555930p35a36v990 https://society6.com/product/penrose-tiling6298504_rug?sku=s... https://society6.com/product/penrose-tiling-pattern_rug?sku=s6-4006895p35a36v990 https://society6.com/product/penrose-tiling-pattern_rug?sku=... I have no idea if their rugs are any good, though, and I don't want to spend hundreds of dollars to find out.
tiedieconderoga 4y ago
Depending on how much free time you have, you may or may not want to dive into the rabbithole of aperiodic tilings in medieval Islamic architecture. https://www.sciencenews.org/article/ancient-islamic-penrose-tiles https://www.sciencenews.org/article/ancient-islamic-penrose-...
- pmarreck 4y ago
  This is amazing. I just wish Islam was known for this still, instead of some other things.

masfuerte 4y ago

Photos of a Penrose pavement here https://www.maths.ox.ac.uk/outreach/oxford-mathematics-alphabet/aperiodic-tiles https://www.maths.ox.ac.uk/outreach/oxford-mathematics-alpha... and here https://hardscape.co.uk/inspire/case-studies/maths-institute/ https://hardscape.co.uk/inspire/case-studies/maths-institute...

pmarreck 4y ago
https://media.giphy.com/media/14vFOciTnQjnl6/giphy.gif https://media.giphy.com/media/14vFOciTnQjnl6/giphy.gif

cwmma 4y ago

A company tried to put it on toilet paper but Roger Penrose claimed ownership so they had to stop http://bit-player.org/2017/sir-roger-penroses-toilet-paper http://bit-player.org/2017/sir-roger-penroses-toilet-paper

pmarreck 4y ago
Does he have ownership over ALL aperiodic tilings or just the ones he's come up with? Anyway, that's unfortunate. Can't he just get a cut or something? Also, this all really begs the question as to whether this is an "invention" or just "math". Imagine if Newton's heirs had to get a cut every time Newtonian physics was used (or calculus for that matter... splitting it with Leibniz's heirs)
layer8 4y ago
Since it’s aperiodic, shouldn’t he only be able to claim copyright on the configurations he actually produced? Algorithms aren’t copyrightable, only concrete works fixed in a medium of expression.

madcaptenor 4y ago

Where can I get such a rug? I fixed up my home office a couple years ago and it's nice except I need a rug both to make it look nice and to absorb some sound.

pmarreck 4y ago
I was wrong. I found something that resembled such a tiling, but was not, in fact, such a tiling. It was a fallback position. :/ If you do find any such thing, please let me know!
- madcaptenor 4y ago
  I searched a bit and found some on society6: https://society6.com/product/penrose-tiling6298504_rug?sku=s6-22555930p35a36v990 https://society6.com/product/penrose-tiling6298504_rug?sku=s... https://society6.com/product/penrose-tiling-pattern_rug?sku=s6-4006895p35a36v990 https://society6.com/product/penrose-tiling-pattern_rug?sku=... I have no idea if their rugs are any good, though, and I don't want to spend hundreds of dollars to find out.

tiedieconderoga 4y ago

Depending on how much free time you have, you may or may not want to dive into the rabbithole of aperiodic tilings in medieval Islamic architecture. https://www.sciencenews.org/article/ancient-islamic-penrose-tiles https://www.sciencenews.org/article/ancient-islamic-penrose-...

pmarreck 4y ago
This is amazing. I just wish Islam was known for this still, instead of some other things.