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12 |- |bgcolor=#e7dcc3|Edges |colspan=2|50 |- |bgcolor=#e7dcc3|Vertices |colspan=2|21 |- |bgcolor=#e7dcc3|Dual |colspan=2|icosahedral pyramid |- |bgcolor=#e7dcc3|Symmetry group |colspan=2|H3, (), order 120 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex |} In 4-dimensional geometry, the dodecahedral pyramid is bounded by one dodecahedron on the base and 12 pentagonal pyramid cells which meet at the apex. Since a dodecahedron has a circumradius divided by edge length greater than one,〔 sqrt(sqrt(5))/8 ) = 1.401259〕 so the pentagonal pyramids can not made with regular faces. The dual to the dodecahedral pyramid is a icosahedral pyramid, seen as an icosahedral base, and 12 regular tetrahedral 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)』 ■ウィキペディアで「Dodecahedral pyramid」の詳細全文を読む スポンサード リンク
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