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) |- |bgcolor=#e7dcc3|Dual polyhedron||truncated cuboctahedron |- |bgcolor=#e7dcc3|Properties||convex, face-transitive |- |align=center colspan=2| Net |} In geometry, a disdyakis dodecahedron, or hexakis octahedron or kisrhombic dodecahedron〔Conway, Symmetries of things, p.284〕), is a Catalan solid and the dual to the Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons. It superficially resembles an inflated rhombic dodecahedron—if one replaces each face of the rhombic dodecahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis dodecahedron. More formally, the disdyakis dodecahedron is the Kleetope of the rhombic dodecahedron. ==Symmetry== It has Oh octahedral symmetry. Its collective edges represent the reflection planes of the symmetry. It can also be seen in the corner and mid-edge triangulation of the regular cube and octahedron, and rhombic dodecahedron. Seen in stereographic projection the edges of the disdyakis dodecahedron form 9 circles (or centrally radial lines) in the plane. The 9 circles can be divided into two groups of 3 and 6 (drawn in purple and red), representing in two orthogonal subgroups: (), and (): 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「Disdyakis dodecahedron」の詳細全文を読む スポンサード リンク
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