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In geometry, the truncated cuboctahedron is an Archimedean solid. It has 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the truncated cuboctahedron is a zonohedron. ==Other names== Alternate interchangeable names are: *''Truncated cuboctahedron'' (Johannes Kepler) *''Rhombitruncated cuboctahedron'' (Magnus Wenninger〔 (Model 15, p. 29)〕) *''Great rhombicuboctahedron'' (Robert Williams〔 (Section 3-9, p. 82)〕) *''Great rhombcuboctahedron'' (Peter Cromwell〔Cromwell, P.; (''Polyhedra'' ), CUP hbk (1997), pbk. (1999). (p. 82) 〕) *''Omnitruncated cube'' or ''cantitruncated cube'' (Norman Johnson) The name ''truncated cuboctahedron'', given originally by Johannes Kepler, is a little misleading. If you truncate a cuboctahedron by cutting the corners off, you do ''not'' get this uniform figure: some of the faces will be rectangles. However, the resulting figure is topologically equivalent to a truncated cuboctahedron and can always be deformed until the faces are regular. The alternative name ''great rhombicuboctahedron'' refers to the fact that the 12 square faces lie in the same planes as the 12 faces of the rhombic dodecahedron which is dual to the cuboctahedron. Compare to small rhombicuboctahedron. One unfortunate point of confusion: There is a nonconvex uniform polyhedron by the same name. See nonconvex great rhombicuboctahedron. 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 cuboctahedron」の詳細全文を読む スポンサード リンク
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