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In geometry, the trigyrate rhombicosidodecahedron is one of the Johnson solids (''J''75). It contains 20 triangles, 30 squares and 12 pentagons. It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae rotated through 36 degrees. Related Johnson solids are the gyrate rhombicosidodecahedron (''J''72) where one cupola is rotated, the parabigyrate rhombicosidodecahedron (''J''73) where two opposing cupolae are rotated and the metabigyrate rhombicosidodecahedron (''J''74) where two non-opposing cupolae are rotated. ==References== *Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, 18, 1966, pages 169–200. Contains the original enumeration of the 92 solids and the conjecture that there are no others. * The first proof that there are only 92 Johnson solids. 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「trigyrate rhombicosidodecahedron」の詳細全文を読む スポンサード リンク
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