Name
Abstract | ||
|---|---|---|
Finite edge-to-edge tilings of a convex pentagon with convex pentagonal tiles are discussed. Such tilings that are also cubic are shown to be impossible in several cases. A finite tiling of a polygon P is equiangular if there is a 1-1 correspondence between the angles of P and the angles of each tile (both taken in clockwise cyclic order) so that corresponding angles are equal. It is shown that there is no cubic equiangular tiling of a convex pentagon and hence it is impossible to dissect a convex pentagon into pentagons directly similar to it. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1016/S0012-365X(99)00390-8 | Discrete Mathematics |
Keywords | Field | DocType |
equiangular tiling,pentagonal tiling,finite tiling,cubic tiling,dissection | Discrete mathematics,Combinatorics,Rhombille tiling,Pentagon,Square tiling,Substitution tiling,Trihexagonal tiling,Pentagonal tiling,Tessellation,Mathematics,Equilateral pentagon | Journal |
Volume | Issue | ISSN |
221 | 1-3 | Discrete Mathematics |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ren Ding | 1 | 0 | 0.34 |
| Doris Schattschneider | 2 | 8 | 3.84 |
| Tudor Zamfirescu | 3 | 77 | 16.85 |