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Omnitruncated simplectic honeycomb
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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
|}_2
|
|Hexagonal tiling
|100px
hexagon
|Equilateral triangle
100px
|3 hexagons
|3
|-
|3
|}_4
|
|Omnitruncated 4-simplex honeycomb
|100px
Omnitruncated 4-simplex
|irr. 5-cell
100px
|5 omnitruncated 4-simplex
|5
|-
|5
|}_6
|
|Omnitruncated 6-simplex honeycomb
|100px
Omnitruncated 6-simplex
|irr. 6-simplex
100px
|7 omnitruncated 6-simplex
|7
|-
|7
|}_8
|
|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
|
!}_9
|
|...
|-
!}_3
|
!}_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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