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octahedral pyramid : ウィキペディア英語版
octahedral pyramid

( ) ∨ s
( ) ∨ (+ )
( ) ∨ (
8
|-
|bgcolor=#e7dcc3|Faces
|colspan=2|20
|-
|bgcolor=#e7dcc3|Edges
|colspan=2|18
|-
|bgcolor=#e7dcc3|Vertices
|colspan=2|7
|-
|bgcolor=#e7dcc3|Dual
|colspan=2|Cubic pyramid
|-
|bgcolor=#e7dcc3|Symmetry group
|colspan=2|B3, (), order 48
(), order 24
(), order 12
(), order 16
(), order 8
|-
|bgcolor=#e7dcc3|Properties
|colspan=2|convex, regular-faced
|}
In 4-dimensional geometry, the octahedral pyramid is bounded by one octahedron on the base and 8 triangular pyramid cells which meet at the apex. Since an octahedron has a circumradius divided by edge length less than one,〔 1/sqrt(2) = 0.707107〕 the triangular pyramids can made with regular faces (as regular tetrahedrons) by computing the appropriate height.
== Occurrences of the octahedral pyramid==
The regular 16-cell has ''octahedral pyramids'' around every vertex, with the octahedron passing through the center of the 16-cell.
The octahedral pyramid is the vertex figure for a truncated 5-orthoplex, .
:160px

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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