Disdyakis dodecahedron

Encyclopedia : D : DI : DIS : Disdyakis dodecahedron

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Disdyakis dodecahedron
Click on picture for large version. Click [here] for spinning version.
Type	Catalan
Face polygon	scalene triangle
Faces	48
Edges	72
Vertices	26 = 6 + 8 + 12
Face configuration	V4.6.8
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

• Disdyakis triacontahedron

External link

• [Disdyakis dodecahedron] - MathWorld.com

 

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