|
'' |- |bgcolor=#e7dcc3|Edges||500 |- |bgcolor=#e7dcc3|Vertices||100 |- |bgcolor=#e7dcc3|Vertex figure||Bidiminished icosahedron 100px |- |bgcolor=#e7dcc3|Symmetry group||Ionic diminished Coxeter group 10,2+,10 of order 400 |- |bgcolor=#e7dcc3|Schläfli symbol||s.s ''(extended)'' |- |bgcolor=#e7dcc3|Properties||convex |- |colspan=2| A net showing two disjoint rings of 10 antiprisms. 200 tetrahedra (yellow) are in face contact with the antiprisms and 100 tetrahedra (red) contact only other tetrahedra. |} In geometry, the grand antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimensional uniform polytope) bounded by 320 cells: 20 pentagonal antiprisms, and 300 tetrahedra. It is an anomalous, non-Wythoffian uniform 4-polytope, discovered in 1965 by Conway and Guy.〔J.H. Conway and M.J.T. Guy: ''Four-Dimensional Archimedean Polytopes'', Proceedings of the Colloquium on Convexity at Copenhagen, page 38 und 39, 1965. (Michael Guy is son of Richard K. Guy)〕〔Conway, 2008, p.402-403 The Grand Antiprism〕 == Alternate names == * Pentagonal double antiprismoid Norman W. Johnson * Gap (Jonathan Bowers: for grand antiprism) 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「Grand antiprism」の詳細全文を読む スポンサード リンク
|
