Forbidden crystal symmetry in mathematics | Verbotene Kristallsymmetrie
— Roger Penrose – Forbidden crystal symmetry in mathematics and architecture Roger Penrose Verbotene Kristallsymmetrie in Mathematik und Architektur Keppler, Schechtmann, Mandelbrot, Fraktale, Goldener Schnitt … Ein Teil des "Musters" . Ein Einblick in den Grundaufbau der Natur. Die verborgenen Baupläne. Diese Grundlagen findet man auch bei Keppler … . In alter islamischer Kunst. Schechtmann. Sir Roger Penrose provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in design and architecture. It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-fold, 3-fold, 4-fold, and 6-fold symmetries....