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4-simplex honeycomb : ウィキペディア英語版
5-cell honeycomb
40px
t1 40px
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|bgcolor=#e7dcc3|Cell types|| 20px
t1 20px
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|bgcolor=#e7dcc3|Face types||
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|bgcolor=#e7dcc3|Vertex figure||80px
t0,3
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|bgcolor=#e7dcc3|Symmetry||
In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets in a ratio of 1:1.
Cells of the vertex figure are ten tetrahedrons and 20 triangular prisms, corresponding to the ten 5-cells and 20 rectified 5-cells that meet at each vertex. All the vertices lie in parallel realms in which they form alternated cubic honeycombs, the tetrahedra being either tops of the rectified 5-cell or the bases of the 5-cell, and the octahedra being the bottoms of the rectified 5-cell.〔Olshevsky (2006), Model 134〕
== Alternate names==

* Cyclopentachoric tetracomb
* Pentachoric-dispentachoric tetracomb

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「5-cell honeycomb」の詳細全文を読む



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