File:Tübinger Dreiecke.gif
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Summary
| Description |
English: Apart from the Penrose rhomb tilings (and their variations), this is a classical candidate to model 5-fold (resp. 10-fold) quasicrystals. The inflation factor is - as in the Penrose case - the golden mean, sqrt(5)/2 + 1/2. The prototiles are Robinson triangles, but these tilings are not mld to the Penrose tilings. The relation is different: The Penrose rhomb tilings are locally derivable from the Tübingen Triangle tilings.
These tilings were discovered and studied thoroughly by a group in Tübingen, Germany, thus the name.[1] Since the prototiles are mirror symmetric, but their substitutions are not, we have to distinct left-handed and right-handed tiles. This is indicated by the colours in the substitution rule and in the patch below. Text by D. Frettlöh |
| Date | |
| Source | Tuebingen Triangle on Tilings Encyclopedia - In rhombs, and wedges, and half-moons, and wings (Images: E. Harriss; Text: D. Frettlöh) |
| Author | E. Harris |
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- ↑ Baake, M and Kramer, P and Schlottmann, M and Zeidler, D Planar patterns with fivefold symmetry as sections of periodic structures in $4$-space Internat. J. Modern Phys. B, 1990, 4, 15-16, pp. 2217-2268, 92b:52041
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| current | 20:42, 5 March 2015 | | 1,430 × 1,259 (376 KB) | NearEMPTiness | User created page with UploadWizard |
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