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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
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|1
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|Hexagonal tiling
|100px
hexagon
|Equilateral triangle
100px
|3 hexagons
|3
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|3
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|Omnitruncated 4-simplex honeycomb
|100px
Omnitruncated 4-simplex
|irr. 5-cell
100px
|5 omnitruncated 4-simplex
|5
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|5
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|Omnitruncated 6-simplex honeycomb
|100px
Omnitruncated 6-simplex
|irr. 6-simplex
100px
|7 omnitruncated 6-simplex
|7
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|7
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|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
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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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