Regular polygonal systems

Jurij Kovič


Let M = M(Ω) be any triangle-free tiling of a planar polygonal region Ω with regular polygons. We prove that its face vector f(M) = (f3, f4, f5, …), its symmetry group S(M) and the tiling M itself are uniquely determined by its boundary angles code ca(M) = ca(Ω) = (t1, …, tr), a cyclical sequence of numbers ti describing the shape of Ω.


Regular polygonal system, boundary code, face vector, symmetry group, reconstructibility from the boundary

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ISSN: 1855-3974

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