Tiling of regular polygons with similar right triangles
We prove that for every $N\ne 4$ there is only one right triangle that tiles the regular $N$-gon.
math.MG↗
arXiv subjects
Ivan Vasenov
Publications and source records attributed to Ivan Vasenov.
Tiling of regular polygon with similar right triangles
A tiling is a decomposition of a polygon into finitely many non-overlapping triangles. We prove that if a regular n-gon, $n \geq 5$, $n \neq 28$, can be tiled with similar right triangles, then one of the angles of these triangles is in $\left\{\fracπ{n},\frac{2π}{n}, \fracπ {6}+\frac{2π}{3n}\right\}$. Some related results were previously obtained by M.Laczkovich and B. Szegedy.
math.CO↗