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Omnitruncated simplectic honeycomb : ウィキペディア英語版 | Omnitruncated simplectic honeycomb In geometry an omnitruncated simplectic honeycomb or omnitruncated n-simplex honeycomb is an n-dimensional uniform tessellation, based on the symmetry of the !Image !Tessellation !Facets !Vertex figure !Facets per vertex figure !Vertices per vertex figure |- |1 | | |Hexagonal tiling |100px hexagon |Equilateral triangle 100px |3 hexagons |3 |- |3 | | |Omnitruncated 4-simplex honeycomb |100px Omnitruncated 4-simplex |irr. 5-cell 100px |5 omnitruncated 4-simplex |5 |- |5 | | |Omnitruncated 6-simplex honeycomb |100px Omnitruncated 6-simplex |irr. 6-simplex 100px |7 omnitruncated 6-simplex |7 |- |7 | | |Omnitruncated 8-simplex honeycomb |100px Omnitruncated 8-simplex |irr. 8-simplex 100px |9 omnitruncated 8-simplex |9
|} == Projection by folding ==
The (2n-1)-simplex honeycombs can be projected into the n-dimensional omnitruncated hypercubic honeycomb by a geometric folding operation that maps two pairs of mirrors into each other, sharing the same vertex arrangement: }_5 | ! | |... |- ! | ! | |... |}
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「Omnitruncated simplectic honeycomb」の詳細全文を読む
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