2020/10/10 by Vasenov, Ivan
#Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.2010.05052
A tiling is a decomposition of a polygon into finitely many non-overlapping triangles. We prove that if a regular n-gon, n ≥ 5, n ≠ 28, can be tiled with similar right triangles, then one of the angles of these triangles is in \\fracπn,(2π)/(n), \fracπ 6+(2π)/(3n)\. Some related results were previously obtained by M.Laczkovich and B. Szegedy.