- Finite Rotations
- MLD Class Chair
- Parallelogram Tiles
- Polytopal Tiles
- Rhomb Tiles
- Self-Similar Substitution
- With Decoration
- p-adic Windowed Tiling

MLD to the more popular chair tiling, this version allows a simple translation into a coloured lattice: Replace each square of type i (1,2,3, or 4) with its midpoint, and assign to it colour i. Then each set of all points of colour i is a model set with internal p-adic space with p=2. This was first shown in [BMS98], a general framework is given in [LMS03].

[BMS98]

Baake, M and Moody, R V and Schlottmann, M

**Limit-(quasi-)periodic point sets as quasicrystals with p-adic internal spaces**

*J. Phys. A: Math. Gen.*
1998,
31,
pp. 55-65,

[LMS03]

Lee, J E S and Moody, R V and Solomyak, B

**Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems**

*Discrete and Computational Geometry*
2003,
29,
pp. 525-560,
MR1702375