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