|
h ↔ |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagrams|| ↔ ↔ ↔ |- |bgcolor=#e7dcc3|Cells|| 60px 60px |- |bgcolor=#e7dcc3|Faces||triangle |- |bgcolor=#e7dcc3|Edge figure||triangle |- |bgcolor=#e7dcc3|Vertex figure|| 40px 40px 40px |- |bgcolor=#e7dcc3|Dual||Self-dual |- |bgcolor=#e7dcc3|Coxeter groups||3, () The triangular tiling honeycomb is one of 11 paracompact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. It is called ''paracompact'' because it has infinite cells and vertex figures, with all vertices as ideal points at infinity. It has Schläfli symbol , being composed of triangular tiling cells. Each edge of the honeycomb is surrounded by three cells, and each vertex is ideal with infinitely many cells meeting there. Its vertex figure is a hexagonal tiling. == Symmetry == ] It has two lower reflective symmetry constructions, as an alternated order-6 hexagonal tiling honeycomb, ↔ , and as from , which alternates 3 types (colors) of triangular tilings around every edge. In Coxeter notation, the removal of the 3rd and 4th mirrors, () creates a new Coxeter group , , subgroup index 6. The fundamental domain is 6 times larger. By Coxeter diagram there are 3 copies of the first original mirror in the new fundamental domain: ↔ . 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「triangular tiling honeycomb」の詳細全文を読む スポンサード リンク
|
