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Octagonal antiprismatic prism : ウィキペディア英語版
Uniform antiprismatic prism

|-
|bgcolor=#e7dcc3|Coxeter diagram||
|-
|bgcolor=#e7dcc3|Cells||2 ''p''-gonal antiprisms,
2 ''p''-gonal prisms and
''2p'' triangular prisms
|-
|bgcolor=#e7dcc3|Faces||4''p'' , 4''p'' and 4
|-
|bgcolor=#e7dcc3|Edges||10''p''
|-
|bgcolor=#e7dcc3|Vertices||4''p''
|-
|bgcolor=#e7dcc3|Vertex figure||
Trapezoidal pyramid
|-
|bgcolor=#e7dcc3|Symmetry group||(), order 8''p''
(), order 4''p''
|-
|bgcolor=#e7dcc3|Properties||convex if the base is convex
|}
In 4-dimensional geometry, a uniform antiprismatic prism or antiduoprism is a uniform 4-polytope with two uniform antiprism cells in two parallel 3-space hyperplanes, connected by uniform prisms cells between pairs of faces. The symmetry of a ''p''-gonal antiprismatic prism is (), order 8''p''.
A p-gonal antiprismatic prism or p-gonal antiduoprism has 4''p'' equilateral triangle, 4''p'' square and 4 regular ''p''-gon faces. It has 10''p'' edges, and 4''p'' vertices.
== Convex uniform antiprismatic prisms==
There is an infinite series of convex uniform antiprismatic prisms, starting with the ''digonal antiprismatic prism'' is a tetrahedral prism, with two of the tetrahedral cells degenerated into squares. The ''triangular antiprismatic prism'' is the first nondegenerate form, which is also an octahedral prism. The remainder are unique uniform 4-polytopes.

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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