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Hemi-octahedron : ウィキペディア英語版
Hemi-octahedron

A hemi-octahedron is an abstract regular polyhedron, containing half the faces of a regular octahedron.
It has 4 triangular faces, 6 edges, and 3 vertices. Its dual polyhedron is the hemicube.
It can be realized as a projective polyhedron (a tessellation of the real projective plane by 4 triangles), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into four equal parts.
It can be seen as an square pyramid without its base. It can be realized as a projective polyhedron (a tessellation of the real projective plane by 4 triangles), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into four equal parts.
It can be represented symmetrically as a hexagonal or square Schlegel diagram:
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It has an unexpected property that there are two distinct edges between every pair of vertices – any two vertices define a digon.
== See also ==

*Hemi-dodecahedron
*Hemi-icosahedron

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「Hemi-octahedron」の詳細全文を読む



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