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math.MG2000
Model sets: a survey
Robert V. Moody
This article surveys the mathematics of the cut and project method as applied to point sets, called here {\em model sets}. It covers the geometric, arithmetic, and analytical sides…
math.MG2000
Lattice Substitution Systems and Model Sets
Jeong-Yup Lee, Robert V. Moody
The paper studies ways in which the sets of a partition of a lattice in $\RR^n$ become regular model sets. The main theorem gives equivalent conditions which assure that a matrix s…