Reinhard Lück

Discovered Tilings

Tuebingen Triangle

Beside the Penrose rhomb tilings (and its 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, $\frac{\sqrt{5}}{2} + \frac{1}{2}$. The prototiles are Robinson triangles, but these tilings are not …

Finite Rotations Polytopal Windowed Tiling Polytopal Tiles Self Similar Substitution