Tilings Encyclopedia
The tilings encyclopedia shows a wealth of examples of nonperiodic substitution tilings. Click on "substitutions" to browse the list or to search for a topic (e.g. "Penrose" or "fractal" or ...). We welcome all feedback. If you cite this page as a reference in a scientific paper, please cite as: D. Frettlöh, F. Gähler, E. Harriss: Tilings encyclopedia, https://tilings.math.uni-bielefeld.de/
Latest Additions
This is the block version of the Squiral tiling. The graphic was created by Leif Borgstedt.
This is the 2D version of the one-dimensional Thue Morse tiling due to Shelomo Ben-Abraham et.al. The graphic was created by Leif Borgstedt.
The Nischke-Danzer-Deltoid 7-fold-2-2 was discussed and derived in [ND96] but not shown. A figure with the tiling can be found in [Pau2017] .
Polytopal Tiles Self Similar Substitution Finite Local Complexity Finite Rotations Nischke Danzer Deltoid
J. Kari and M. Rissanen derived a set of rhomb substitution tilings in [KR2016] with n-fold dihedral symmetry.
- All substitution rules have dihedral
$D_{2}$symmetry. - All edges of the substitution rules are equal and also have dihedral
$D_{2}$symmetry. - All interior angles of all prototiles are …
Polytopal Tiles Self Similar Substitution Finite Local Complexity Finite Rotations Rhomb Tiles