Geodesic
Regular polygonal systems
Ars Mathematica Contemporanea, Tome 16 (2019) no. 1, pp. 157-171.

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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.
DOI : 10.26493/1855-3974.997.7ef
Keywords: Regular polygonal system, boundary code, face vector, symmetry group, reconstructibility from the boundary 
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Jurij Kovič. Regular polygonal systems. Ars Mathematica Contemporanea, Tome 16 (2019) no. 1, pp. 157-171. doi : 10.26493/1855-3974.997.7ef. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.997.7ef/

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