Timeline for Proofs without words
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 11, 2021 at 12:57 | comment | added | Jean Marie Becker | @Xoderap this french rhomboid cookie is called a "calisson d'Aix" (en Provence) | |
| Dec 23, 2020 at 8:47 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
a minor typo
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| Nov 2, 2020 at 18:36 | comment | added | Alon Amit | @Xodarap sorry, doesn’t ring a bell. | |
| Nov 2, 2020 at 17:50 | comment | added | Xodarap | Is there a name for this theorem? I vaguely recall someone referring to it by the name of some French cookie which happens to have a rhomboid shape and come in a hexagonal tin, but I can't find a reference online | |
| Jun 8, 2016 at 14:29 | comment | added | Yaakov Baruch | By the way - I highly recommend this book. Practically every problem in it is both challenging and interesting. | |
| Jun 17, 2014 at 3:01 | history | edited | senshin | CC BY-SA 3.0 |
rehost to imgur to prevent linkrot
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| Dec 2, 2012 at 7:18 | history | edited | Alon Amit | CC BY-SA 3.0 |
deleted 34 characters in body; added 49 characters in body; deleted 43 characters in body
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| Nov 10, 2010 at 23:08 | history | edited | Alon Amit | CC BY-SA 2.5 |
Replaced image url; added 348 characters in body
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| Nov 8, 2010 at 3:57 | comment | added | Mariano Suárez-Álvarez | @Alon: could you repost the image using a more permanent upload site? | |
| Jan 16, 2010 at 22:41 | comment | added | Emil | There should be 3 colors, for the 3 orientations. (I think it even says this in the book.) I think the gray is a mistake introduced by the cover designer - unless there is some hidden meaning in the arrangement of gray rhombi? | |
| Dec 15, 2009 at 5:15 | comment | added | Alon Amit | Sorry - I didn't want to spoil the fun right away. The statement being proven is the one indicated by Darsh Ranjan: however you tile a hexagon with rhombi, there's an equal number of tiles in each of the three orientations. The picture-proof asks you to believe that all such tilings can be regarded as the facets of a cubical arrangement, and the orientations correspond to the viewing angle. As far as I know, the colors are random and are just a distraction. | |
| Dec 15, 2009 at 3:03 | comment | added | Michael Lugo | What do the colors represent? In particular, there are two colors for "upward-facing" rhombi (red and light gray) and two colors for "right-facing" rhombi (brown and dark gray), and I don't see why. | |
| Dec 15, 2009 at 2:35 | comment | added | Darsh Ranjan | Also, there are equal numbers of rhombi of each orientation in any tiling, and in fact, any tiling can be obtained from any other one by rotating "unit" hexagons formed by three rhombi. | |
| Dec 15, 2009 at 0:11 | comment | added | Mariano Suárez-Álvarez | That rhombus tilings are equinumerous to plane partitions which fit in a box. | |
| Dec 14, 2009 at 23:06 | comment | added | David Eppstein | I'd be more impressed by this if I knew what statement was supposedly being proven by this illustration. That rhombus tilings are in 1-1 correspondence with 3d orthogonal surfaces (Thurston 1990, dx.doi.org/10.2307/2324578)? | |
| Dec 14, 2009 at 7:53 | history | answered | Alon Amit | CC BY-SA 2.5 |