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・ Order-5 cubic honeycomb
・ Order-5 dodecahedral honeycomb
・ Order-5 hexagonal tiling
・ Order-5 hexagonal tiling honeycomb
・ Order-5 icosahedral 120-cell honeycomb
・ Order-5 pentagonal tiling
・ Order-5 square tiling
・ Order-5 tesseractic honeycomb
・ Order-6 cubic honeycomb
・ Order-6 dodecahedral honeycomb
・ Order-6 hexagonal tiling
・ Order-6 hexagonal tiling honeycomb
・ Order-6 octagonal tiling
・ Order-6 pentagonal tiling
・ Order-6 square tiling
Order-6 tetrahedral honeycomb
・ Order-6 triangular hosohedral honeycomb
・ Order-7 heptagonal tiling
・ Order-7 heptagrammic tiling
・ Order-7 hexagonal tiling honeycomb
・ Order-7 square tiling
・ Order-7 tetrahedral honeycomb
・ Order-7 triangular tiling
・ Order-8 hexagonal tiling
・ Order-8 octagonal tiling
・ Order-8 square tiling
・ Order-8 triangular tiling
・ Order-embedding
・ Order-independent transparency
・ Order-maintenance problem


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Order-6 tetrahedral honeycomb : ウィキペディア英語版
Order-6 tetrahedral honeycomb

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|bgcolor=#e7dcc3|Coxeter diagrams||

|-
|bgcolor=#e7dcc3|Cells|| 40px
|-
|bgcolor=#e7dcc3|Faces||Triangle
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|bgcolor=#e7dcc3|Edge figure||Hexagon
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|bgcolor=#e7dcc3|Vertex figure||Triangular tiling
80px 80px
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|bgcolor=#e7dcc3|Dual||Hexagonal tiling honeycomb,
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|bgcolor=#e7dcc3|Coxeter groups||}_3,
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|bgcolor=#e7dcc3|Properties||Regular, quasiregular
|}
In the geometry of hyperbolic 3-space, the order-6 tetrahedral honeycomb a paracompact regular space-filling tessellation (or honeycomb). It is called ''paracompact'' because it has infinite vertex figures, with all vertices as ideal points at infinity. With Schläfli symbol . It has six tetrahedra around each edge. All vertices are ideal vertices with infinitely many tetrahedra existing around each ideal vertex in an triangular tiling vertex arrangement.〔Coxeter ''The Beauty of Geometry'', 1999, Chapter 10, Table III〕
== Symmetry constructions ==

It has a second construction as a uniform honeycomb, Schläfli symbol , with alternating types or colors of tetrahedral cells. In Coxeter notation the half symmetry is () ↔ () or : ↔ .

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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