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

|-
|bgcolor=#e7dcc3|Edges
|colspan=2|12+30
|-
|bgcolor=#e7dcc3|Vertices
|colspan=2|13
|-
|bgcolor=#e7dcc3|Dual
|colspan=2|Dodecahedral pyramid
|-
|bgcolor=#e7dcc3|Symmetry group
|colspan=2|H3, (), order 120
|-
|bgcolor=#e7dcc3|Properties
|colspan=2|convex, regular-faces
|}
In four-dimensional geometry, the icosahedral pyramid is bounded by one icosahedron on the base and 20 triangular pyramid cells which meet at the apex. Since an icosahedron has a circumradius divided by edge length less than one,〔, circumradius sqrt[(5+sqrt(5))/8 = 0.951057〕 the tetrahedral pyramids can be made with regular faces.
The regular 600-cell has icosahedral pyramids around every vertex.
The dual to the icosahedral pyramid is the dodecahedral pyramid, seen as a dodecahedral base, and 20 regular pentagonal pyramids meeting at an apex.
:
== References==


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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