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Penrose is a neat name for this. At first I thought it was not a great choice because of other associated concepts. Then I noticed pen=write, rose=draw. Maybe n
by alanbernstein 6y ago
Penrose is a neat name for this. At first I thought it was not a great choice because of other associated concepts. Then I noticed pen=write, rose=draw. Maybe not intentional, but cute.
- macromagnon 6y agoI thought it was going to be tilings in the plane but the example is some set properties which produces a venn diagram. The notation feels c like. Maybe it could be interesting for knots and complicated algebraic geometry?
- Buge 6y agoHow are rose and draw related? Is it that people sometimes draw pictures of roses?
- alanbernstein 6y agoIn my mind, it was obvious that I was thinking of this: https://mathworld.wolfram.com/Rose.html https://mathworld.wolfram.com/Rose.html. Clearly I should have mentioned that. It's the type of shape drawn by a spirograph, a pen-rose.
- chii 6y agopenrose is the name of a famous mathematician/logician, so it's a double entendre on both it being for drawing (the pen and the rose), as well as it being for maths.
- nikofeyn 6y agoroger penrose is a famous mathematician, who did a lot of work in mathematical physics. he is also famous for a highly visual approach, such as penrose tiles.
- toomim 6y agoHere's an example of penrose tiles: https://dglittle.github.io/cdn/penrose002.html https://dglittle.github.io/cdn/penrose002.html It's an infinite plane of tiles, procedurally generated, that never repeats no matter how far you go.
- iainmerrick 6y agoJust to close the loop here, Penrose is also famous (to his readers, anyway) for his beautiful hand-drawn diagrams and illustrations. So it’s a terrific name for this project.
- jcranmer 6y agoAnd has five-fold symmetry, which is impossible for wallpaper groups. The discovery of Penrose tilings is partially tangled up with the discovery of quasicrystals, where researchers found minerals with 5-fold and 10-fold symmetry that ought to have been mathematically impossible to exist. Turns out that the Crystallographic Restriction Theorem has an important caveat that people neglected up until the 1980s: it assumes that you have to have translational symmetry, which Penrose tilings do not.
- contravariant 6y agoIt's going to get very confusing for people googling 'penrose diagrams' though.
- taliesinb 6y agoYes indeed! Does anyone know of software for creating Penrose diagrams?