Disdyakis dodecahedron

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Disdyakis dodecahedron
Disdyakis dodecahedron
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Type Catalan
Face polygon scalene triangle
Faces 48
Edges 72
Vertices 26 = 6 + 8 + 12
Face configuration 4,6,8
Symmetry group octahedral (Oh)
Dual polyhedron truncated cuboctahedron
Properties convex, face-uniform

A disdyakis dodecahedron, or hexakis octahedron, is the Catalan solid whose Archimedean dual is the truncated cuboctahedron. As such it is face uniform but with irregular face polygons. It looks a bit like 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.

See also