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| Infinite-order dodecahedral honeycomb ： ウィキペディア英語版 |
Infinite-order dodecahedral honeycomb
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|bgcolor=#e7dcc3|Coxeter diagrams||
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|bgcolor=#e7dcc3|Cells|| 40px
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|bgcolor=#e7dcc3|Faces||
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|bgcolor=#e7dcc3|Edge figure||
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|bgcolor=#e7dcc3|Vertex figure||,
60px60px
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|bgcolor=#e7dcc3|Dual||
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|bgcolor=#e7dcc3|Coxeter group||()
()
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|bgcolor=#e7dcc3|Properties||Regular
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In the geometry of hyperbolic 3-space, the infinite-order dodecahedral honeycomb a regular space-filling tessellation (or honeycomb). With Schläfli symbol . It has infinitely many dodecahedra around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many dodecahedra existing around each vertex in an infinite-order triangular tiling vertex arrangement.
== Symmetry constructions ==
It has a second construction as a uniform honeycomb, Schläfli symbol , Coxeter diagram, , with alternating types or colors of dodecahedral cells.
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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