
arXiv: 0801.3218
The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.
10 pages, 1 figure
convex set, Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry), Delone set, 52B05 (Primary); 52C23, 11R04, 52A10, 52B20, 12F10 (Secondary), Metric Geometry (math.MG), Convex sets in \(2\) dimensions (including convex curves), 52B05 (Primary), Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry), Tilings in \(2\) dimensions (aspects of discrete geometry), 52C23, 11R04, 52A10, 52B20, 12F10 (Secondary), Theoretical Computer Science, quasicrystal, Computational Theory and Mathematics, Mathematics - Metric Geometry, FOS: Mathematics, Packing and covering in \(2\) dimensions (aspects of discrete geometry), affinely regular polygon, Geometry and Topology, Quasicrystals and aperiodic tilings in discrete geometry, lattice
convex set, Lattices and convex bodies in \(2\) dimensions (aspects of discrete geometry), Delone set, 52B05 (Primary); 52C23, 11R04, 52A10, 52B20, 12F10 (Secondary), Metric Geometry (math.MG), Convex sets in \(2\) dimensions (including convex curves), 52B05 (Primary), Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry), Tilings in \(2\) dimensions (aspects of discrete geometry), 52C23, 11R04, 52A10, 52B20, 12F10 (Secondary), Theoretical Computer Science, quasicrystal, Computational Theory and Mathematics, Mathematics - Metric Geometry, FOS: Mathematics, Packing and covering in \(2\) dimensions (aspects of discrete geometry), affinely regular polygon, Geometry and Topology, Quasicrystals and aperiodic tilings in discrete geometry, lattice
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