Great disdyakis dodecahedron

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Great disdyakis dodecahedron
DU20 great disdyakisdodecahedron.png
Type Star polyhedron
Face DU20 facets.png
Elements F = 48, E = 72
V = 26 (χ = 2)
Symmetry group Oh, [4,3], *432
Index references DU 20
dual polyhedron Great truncated cuboctahedron
3D model of a great disdyakis dodecahedron Great disdyakis dodecahedron.stl
3D model of a great disdyakis dodecahedron

In geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great truncated cuboctahedron. It has 48 triangular faces.

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Proportions

The triangles have one angle of , one of and one of . The dihedral angle equals .

The great disdyakis dodecahedron is topologically identical to the convex Catalan solid, disdyakis dodecahedron, which is dual to the truncated cuboctahedron.

Disdyakis dodecahedron.png

References