Timeline for Penrose tilings and noncommutative geometry
Current License: CC BY-SA 3.0
21 events
| when toggle format | what | by | license | comment | |
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| S Aug 8, 2017 at 1:48 | history | suggested | jeq | CC BY-SA 3.0 |
Copied image to imgur.com, as it was not being displayed because of the new https rule. Added link to original image source.
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| Aug 8, 2017 at 1:10 | review | Suggested edits | |||
| S Aug 8, 2017 at 1:48 | |||||
| Mar 31, 2013 at 19:06 | comment | added | jdaw1 | Please allow a belated self-credit: the diagram comes from www.jdawiseman.com/papers/trivia/penrose_tiling.html , which includes an easily hacked PostScript program with which to generate such images. | |
| Oct 25, 2010 at 15:25 | answer | added | Jon Bannon | timeline score: 2 | |
| Oct 21, 2010 at 12:33 | answer | added | Paul Siegel | timeline score: 22 | |
| Oct 21, 2010 at 8:08 | comment | added | Yemon Choi | I find myself liking the 2nd para of this question more than the 1st | |
| Oct 21, 2010 at 5:07 | comment | added | Yemon Choi | "Connes' own discussion is a little terse and requires some C* algebras and K-theory". Seeing as these are two of the major tools in NCG (or NC topology) I still can't think of a good suggestion for what you'd find more accessible. | |
| Oct 21, 2010 at 4:53 | answer | added | Dan | timeline score: 1 | |
| Oct 20, 2010 at 22:46 | comment | added | Nick S | I don't know anything about non-commutative geometry, so my comment migth be way off. Anyhow, when seaking about tilings, there are many examples which sugest the rigth setting would be to study them in a non-commutative group. A simple such example is the pinwhheel tiling. As opposite to the penrose tiling (where the two tiles appear only in finitely many orientation), the pinwheel only contains one tile which appears in infinitelly many orientations. Thus to get the entire tiling one needs to allow both rotations and translations and thus work in the Euclidian group E(n). | |
| Oct 19, 2010 at 0:31 | comment | added | john mangual | LOL, the word "elementary" can be used for anything from high school to beginning graduate level depending on the audience. So I wouldn't be too bogged down by it. I think Prof Shor hits it on the head. Connes' own discussion is a little terse and requires some C* algebras and K-theory. | |
| Oct 18, 2010 at 18:00 | answer | added | José Figueroa-O'Farrill | timeline score: 3 | |
| Oct 18, 2010 at 17:51 | answer | added | Nick S | timeline score: 8 | |
| Oct 18, 2010 at 13:00 | comment | added | Peter Shor | I'd guess that a good rephrasing of the question is: Is there a resource which uses Penrose tilings to motivate an introduction to NCG for a reasonably sophisticated audience? Correct me if I'm wrong. | |
| Oct 18, 2010 at 10:36 | history | edited | Charles Matthews | CC BY-SA 2.5 |
downcase
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| Oct 18, 2010 at 9:05 | answer | added | Thomas Riepe | timeline score: 1 | |
| Oct 18, 2010 at 7:55 | comment | added | Robin Chapman | Another reference is Alain Connes's monograph on Noncommutative Geometry, downlodable from alainconnes.org/en/downloads.php . | |
| Oct 18, 2010 at 7:34 | comment | added | Yemon Choi | What would count as elementary? I don't know of any account of NCG that is both honest and elementary. But then again I find some of the advertising surrounding NCG rather post hoc propter hoc, so I am not the best person to venture opinions here... | |
| Oct 18, 2010 at 7:13 | history | edited | user5810 | CC BY-SA 2.5 |
fixed typo
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| Oct 18, 2010 at 6:39 | comment | added | Steve Huntsman | books.google.com/books?id=zyF_Td9jOIkC&pg=PA200 | |
| Oct 18, 2010 at 4:55 | history | edited | john mangual | CC BY-SA 2.5 |
added a link and image
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| Oct 18, 2010 at 4:49 | history | asked | john mangual | CC BY-SA 2.5 |