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

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|bgcolor=#e7dcc3|Coxeter diagram||



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|bgcolor=#e7dcc3|4-faces||50px
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|bgcolor=#e7dcc3|Cells||30px
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|bgcolor=#e7dcc3|Faces||30px
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|bgcolor=#e7dcc3|Face figure||30px
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|bgcolor=#e7dcc3|Edge figure||30px
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|bgcolor=#e7dcc3|Vertex figure||50px
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|bgcolor=#e7dcc3|Dual||Order-4 24-cell honeycomb
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|bgcolor=#e7dcc3|Coxeter group||4, ()
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|bgcolor=#e7dcc3|Properties||Regular
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In the geometry of hyperbolic 4-space, the cubic honeycomb honeycomb is one of two paracompact regular space-filling tessellations (or honeycombs). It is called ''paracompact'' because it has infinite facets, whose vertices exist on 3-horospheres and converge to a single ideal point at infinity. With Schläfli symbol , it has five cubic honeycombs around each face, and with a vertex figure. It is dual to the order-4 24-cell honeycomb.
== Related honeycombs==
It is related to the Euclidean 4-space 16-cell honeycomb, , which also has a 24-cell vertex figure.
It is analogous to the paracompact tesseractic honeycomb honeycomb, , in 5-dimensional hyperbolic space, square tiling honeycomb, , in 3-dimensional hyperbolic space, and the order-3 apeirogonal tiling, of 2-dimensional hyperbolic space, each with hypercube honeycomb facets.

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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