Regular polygonal systems
Copyright policy )Regular polygonal systems
Summary: Let \(M = M(\Omega)\) be any triangle-free tiling of a planar polygonal region \(\Omega\) with regular polygons. We prove that its face vector \(f(M) = (f_3, f_4, f_5, \ldots)\), its symmetry group \(S(M)\) and the tiling \(M\) itself are uniquely determined by its boundary angles code \(c_a(M) = c_a(\Omega) = (t_1, \ldots, t_r)\), a cyclical sequence of numbers \(t_i\) describing the shape of \(\Omega\).
- National and University Library of Slovenia Slovenia
- University of Primorska Slovenia
face vector, Applications of graph theory, robna koda, info:eu-repo/classification/udc/519.147, vektor lic, regular polygonal system, simetrijska grupa, rekonstruktibilnost iz roba, symmetry group, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Combinatorial aspects of tessellation and tiling problems, reconstructibility from the boundary, pravilni večkotniški sistem, boundary code, Combinatorial aspects of packing and covering
face vector, Applications of graph theory, robna koda, info:eu-repo/classification/udc/519.147, vektor lic, regular polygonal system, simetrijska grupa, rekonstruktibilnost iz roba, symmetry group, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Combinatorial aspects of tessellation and tiling problems, reconstructibility from the boundary, pravilni večkotniški sistem, boundary code, Combinatorial aspects of packing and covering
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