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In geometry, the truncated icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces. It has 30 square faces, 20 regular hexagonal faces, 12 regular decagonal faces, 120 vertices and 180 edges – more than any other convex nonprismatic uniform polyhedron. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the truncated icosidodecahedron is a zonohedron. ==Other names== Alternate interchangeable names include: *''Truncated icosidodecahedron'' (Johannes Kepler) *''Rhombitruncated icosidodecahedron'' (Magnus Wenninger〔Wenninger, (Model 16, p. 30)〕) *''Great rhombicosidodecahedron'' (Robert Williams,〔Williamson (Section 3-9, p. 94)〕 Peter Cromwell〔Cromwell (p. 82)〕) *''Omnitruncated dodecahedron'' or ''icosahedron'' (Norman Johnson) The name ''truncated icosidodecahedron'', originally given by Johannes Kepler, is somewhat misleading. If one truncates an icosidodecahedron by cutting the corners off, one does ''not'' get this uniform figure: instead of squares the truncation has golden rectangles. However, the resulting figure is topologically equivalent to this and can always be deformed until the faces are regular. The alternative name ''great rhombicosidodecahedron'' (as well as rhombitruncated icosidodecahedron) refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the rhombic triacontahedron which is dual to the icosidodecahedron. Compare to small rhombicosidodecahedron. One unfortunate point of confusion is that there is a nonconvex uniform polyhedron of the same name. See nonconvex great rhombicosidodecahedron. 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「truncated icosidodecahedron」の詳細全文を読む スポンサード リンク
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