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8-8 duoprism : ウィキペディア英語版
8-8 duoprism
× = 2
|-
|bgcolor=#e7dcc3|Coxeter diagrams||
|-
|bgcolor=#e7dcc3|Cells||16 octagonal prisms
|-
|bgcolor=#e7dcc3|Faces||64 squares,
16 octagons
|-
|bgcolor=#e7dcc3|Edges||128
|-
|bgcolor=#e7dcc3|Vertices||64
|-
|bgcolor=#e7dcc3|Vertex figure||Tetragonal disphenoid
|-
|bgcolor=#e7dcc3|Symmetry||, order 512
|-
|bgcolor=#e7dcc3|Dual||8-8 duopyramid
|-
|bgcolor=#e7dcc3|Properties||convex, vertex-uniform, facet-transitive
|}
In geometry of 4 dimensions, a 8-8 duoprism is a polygonal duoprism, a 4-polytope resulting from the Cartesian product of two octagons.
It has 64 vertices, 128 edges, 80 faces (64 squares, and 16 octagons), in 16 octagonal prism cells. It has Coxeter diagram , and symmetry [[8,2,8]], order 512.
==Images==

The uniform ''8-8 duoprism'' can be constructed from ()×() or ()×() symmetry, order 256 or 64, with extended symmetry doubling these with a 2-fold rotation that maps the two orientations of prisms together. These can be expressed by 4 permutations of uniform coloring of the octahedral prism cells.
×
|t2||t×t
|- align=center
|colspan=2|
|colspan=2|
|}
Seen in a skew 2D orthogonal projection, it has the same vertex positions as the hexicated 7-simplex, except for a center vertex. The projected rhombi and squares are also shown in the Ammann–Beenker tiling.

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「8-8 duoprism」の詳細全文を読む



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