- See also
- References
The Tübingen triangle is, apart from the Penrose rhomb tilings and their variations, a classical candidate to model 5-fold (respectively 10-fold) quasicrystals. The inflation factor is – as in the Penrose case – the golden mean, 
The prototiles are Robinson triangles, but 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, left-handed and right-handed tiles need to be distinguished. This is indicated by the colours in the substitution rule and in the patches of the relevant figures.[2]
See also
- Mathematics and art
References
1. ^Baake, M and Kramer, P and Schlottmann, M and Zeidler, DPlanar 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
2. ^E. Harriss (Drawings of 2005-12-01) und D. Frettlöh (Text of 2006-02-27): Tuebingen Triangle. {{Webarchive|url=https://web.archive.org/web/20150402145640/http://tilings.math.uni-bielefeld.de/substitution_rules/tuebingen_triangle |date=2015-04-02 }} Downloaded on 2015-03-06.
{{DEFAULTSORT:Tubingen triangle}}2. ^E. Harriss (Drawings of 2005-12-01) und D. Frettlöh (Text of 2006-02-27): Tuebingen Triangle. {{Webarchive|url=https://web.archive.org/web/20150402145640/http://tilings.math.uni-bielefeld.de/substitution_rules/tuebingen_triangle |date=2015-04-02 }} Downloaded on 2015-03-06.
1 : Aperiodic tilings
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