Name
Abstract | ||
|---|---|---|
We say that a triangle T tiles the polygon A if A can be decomposed into finitely many non-overlapping triangles similar to T. A tiling is called regular if there are two angles of the triangles, say α and β, such that at each vertex V of the tiling the number of triangles having V as a vertex and having angle α at V is the same as the number of triangles having angle β at V. Otherwise the tiling is called irregular. Let P(δ) be a parallelogram with acute angle δ. In this paper we prove that if the parallelogram P(δ) is tiled with similar triangles of angles (α,β,π/2), then (α,β) = (δ,π/2 - δ) or (α,β) = (δ/2,π/2 - δ/2) and if the tiling is regular, then only the first case can occur. © 2013 Springer Science+Business Media New York. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s00454-013-9522-0 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Parallelogram,Regular and irregular tiling,Right triangle | Topology,Combinatorics,Parallelogram,Vertex (geometry),Similarity (geometry),Right triangle,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 2 | 14320444 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhanjun Su | 1 | 1 | 1.83 |
| Chan Yin | 2 | 0 | 0.34 |
| Xiaobing Ma | 3 | 0 | 0.68 |
| Ying Li | 4 | 0 | 0.34 |