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Elongated octahedron : ウィキペディア英語版
Elongated octahedron

|-
|bgcolor=#e7dcc3|Edges||14||24
|-
|bgcolor=#e7dcc3|Vertices||8||10
|-
|bgcolor=#e7dcc3|Vertex configuration
||4 (32.42)
4 (3.42)
|4 (34)
4 (35)
2 (36)
|-
|bgcolor=#e7dcc3|Symmetry
|colspan=2|D2h, (), (
*222), order 8
|-
|bgcolor=#e7dcc3|Properties
|Convex||Deltahedron
|- align=center
|colspan=3|150px145px
Nets
|}
In geometry, an elongated octahedron (also trapezoidal octahedron) is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices.
== As a deltahedral hexadecahedron ==
It can also be constructed as a hexadecahedron, with 16 triangular faces, 24 edges, and 10 vertices. Starting with the regular octahedron, it is elongated along one axes, adding 8 new triangles. It has 2 sets of 3 coplanar equilateral triangles (each forming a half-hexagon), and thus is not a Johnson solid.
If the sets of coplanar triangles are considered a single isosceles trapezoidal face (a triamond), it has 8 vertices, 14 edges, and 8 faces - 4 triangles 20px and 4 triamonds 40px. This construction has been called a triamond stretched octahedron.〔(Convex Triamond Regular Polyhedra )〕

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「Elongated octahedron」の詳細全文を読む



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