Tübingen triangle
The Tübingen triangle is next to the Penrose -Rauten- tiling and their variations a classic candidate to quasicrystals five-fold or ten-fold model.
As in the case of the Penrose diamond, the inflation factor is the golden ratio :
The prototypes are Robinson triangles , but their divisions are different from the Penrose diamonds: The Penrose diamonds can be derived from the Tübingen triangles. The Tübingen triangles were discovered and studied by a group of Tübingen scientists. Hence their name comes from. Since the prototypes are mirror-symmetrical, but their substitutions are not, a distinction must be made between right-handed and left-handed versions. This is shown by the colors of the substitution rule in the images.
Individual evidence
- ^ E. Harriss (drawings), D. Frettlöh (text): Tuebingen Triangle . ( Memento of the original from April 2, 2015 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. Retrieved March 5, 2014.
- ↑ M. Baake, P. Kramer, M. Schlottmann, D. Zeidler: Planar patterns with fivefold symmetry as sections of periodic structures in 4-space . In: International Journal of Modern Physics B . tape 04 , 15n16, December 1990, pp. 2217-2268 , doi : 10.1142 / S0217979290001054 .
