An Algebraic Invariant for Substitution Tiling Systems

Details An Algebraic Invariant for Substitution Tiling Systems An Algebraic Invariant for Substitution Tiling Systems

1997-12-24

arxiv.org/abs/math/9712264v1

Mathematics

Dynamical Systems

Plain TeX. 18 pages including 5 embedded postscript figures

Scientific paper

We consider tilings of Euclidean spaces by polygons or polyhedra, in
particular, tilings made by a substitution process, such as the Penrose tilings
of the plane. We define an isomorphism invariant related to a subgroup of
rotations and compute it for various examples. We also extend our analysis to
more general dynamical systems.

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