On the Notions of Symmetry and Aperiodicity for Delone Sets

Author:

Baake Michael,Grimm Uwe

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference35 articles.

1. N-Dimensional Crystallography;Schwarzenberger,1980

2. Tilings and Patterns;Grünbaum,1987

3. Directions in Mathematical Quasicrystals,2000

4. Quasicrystals and Discrete Geometry,1998

5. A guide to mathematical quasicrystals;Baake,2002

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1. Aperiodicity, rotational tiling spaces and topological space groups;Advances in Mathematics;2021-09

2. The toroidal unit cell of a quasicrystal;Journal of Mathematical Chemistry;2017-07-03

3. Semigroup theory of symmetry;Journal of Mathematical Chemistry;2016-06-08

4. Squirals and beyond: substitution tilings with singular continuous spectrum;Ergodic Theory and Dynamical Systems;2013-03-20

5. Hexagonal Inflation Tilings and Planar Monotiles;Symmetry;2012-10-22

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