Doha Round—Squaring the Triangles
✍ Scribed by Georg Koopmann
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 53 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0020-5346
No coin nor oath required. For personal study only.
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In the 1830's, it was proved almost simultaneously by W. Bolyai and Gerwien that given any two polygons of equal area, it is possible to dissect one into a finite number of pieces which may be rearranged to form the other. In this paper the dissection of a triangle to give a square is considered. No
The random triangle-square tiling with twelvefold quasicrystalline order is studied by using the transfer-matrix method. Based on a systematic finite-size analysis for L × oo lattices up to L = 9, the maximum entropy per vertex for an infinite system is estimated to be S= 0.119 \_+ 0.00 I. The ratio