Tilings Encyclopedia

Square Triangle Pinwheel Variant

Rhomboid Triangle

Quarterhex

A variant of semi-detached house. In contrast to the latter, this one is a model set with p-adic internal space.

Half-Par 5-5

Half-Par 3-5

Golden Rhomboid Triangle

Double Halfhex

A natural variant of the simpler half-hex tiling.

Chord Quadrangle 3-3

A member of an infinite family of substitution rules for similar quadrangles possessing two right interior angles at opposite vertices. A big copy of such a quadrangle can be divided into (smaller) similar quadrangles in several ways. Some of them are compatible with a substitution rule. This one is the smallest possibility, using three prototiles. Examples with more prototiles are Chord-Quadrangle-4-3, Chord-Quadrangle-5-3, Chord-Quadrangle-5-5, and so on. (Search for chord-quadrangle.)

Bowtie-Hexagon-Decagon 3

One of several substitution tilings found by L. Andritz with fivefold symmetry using tiles inspired by Islamic Girih patterns.

Bowtie-Hexagon-Decagon 1

A tiling with fivefold symmetry using tiles inspired by Islamic Girih patterns.

Bowtie-Hexagon-Decagon 2

One of several substitution tilings found by L. Andritz with fivefold symmetry using tiles inspired by Islamic Girih patterns.

Bowtie-Hexagon

One of several substitution tilings found and submitted in February 2016 by L. Andritz with fivefold symmetry using tiles inspired by Islamic Girih patterns. Despite the similarities the tiling is different to the “Tie and Navette” tiling as discussed in [Lue1990] and [LL1994] .

Finite Rotations Model Set Polytopal Tiles Self Similar Substitution Finite Local Complexity

Diamond Triangle

A simple limitperiodic tiling with two tiles.

L. Andritz

Discovered Tilings