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tesseractic honeycomb : ウィキペディア英語版
tesseractic honeycomb

2
x
x2
4
|-
|bgcolor=#e7dcc3|Coxeter-Dynkin diagrams||
|-
|bgcolor=#e7dcc3|4-face type|| 40px
|-
|bgcolor=#e7dcc3|Cell type|| 20px
|-
|bgcolor=#e7dcc3|Face type||
|-
|bgcolor=#e7dcc3|Edge figure||
(octahedron)
|-
|bgcolor=#e7dcc3|Vertex figure||
(16-cell)
|-
|bgcolor=#e7dcc3|Coxeter groups||}_4, ()
|-
|bgcolor=#e7dcc3|Dual||self-dual
|-
|bgcolor=#e7dcc3|Properties||vertex-transitive, edge-transitive, face-transitive, cell-transitive, 4-face-transitive
|}
In four-dimensional euclidean geometry, the tesseractic honeycomb is one of the three regular space-filling tessellations (or honeycombs), represented by Schläfli symbol , and constructed by a 4-dimensional packing of tesseract facets.
Its vertex figure is a 16-cell. Two tesseracts meet at each cubic cell, four meet at each square face, eight meet on each edge, and sixteen meet at each vertex.
It is an analog of the square tiling, , of the plane and the cubic honeycomb, , of 3-space. These are all part of the hypercubic honeycomb family of tessellations of the form . Tessellations in this family are Self-dual.
==Coordinates ==
Vertices of this honeycomb can be positioned in 4-space in all integer coordinates (i,j,k,l).

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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