File:Tübinger Dreiecke.gif
Size of this preview: 681 × 600 pixels. Other resolutions: 273 × 240 pixels | 545 × 480 pixels | 872 × 768 pixels | 1,163 × 1,024 pixels | 1,430 × 1,259 pixels.
Original file (1,430 × 1,259 pixels, file size: 376 KB, MIME type: image/gif)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
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 |
| Date | |
| Source | Tuebingen Triangle on Tilings Encyclopedia - In rhombs, and wedges, and half-moons, and wings (Images: E. Harriss; Text: D. Frettlöh) |
| Author | E. Harris |
Licensing
This file is licensed under the Creative Commons Attribution 2.0 Generic license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- ↑ Baake, M and Kramer, P and Schlottmann, M and Zeidler, D Planar 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
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:42, 5 March 2015 | | 1,430 × 1,259 (376 KB) | NearEMPTiness | User created page with UploadWizard |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on de.wikipedia.org
