disdyakis dodecahedron

bgcolor=#e7dcc3 colspan=2\|Disdyakis dodecahedron
lign=center colspan=2\| Click on picture for large version. Click here for spinning version.
gcolor=#e7dcc3\|Type	Catalan
gcolor=#e7dcc3\|Face polygon	scalene triangle
gcolor=#e7dcc3\|Faces	48
gcolor=#e7dcc3\|Edges	72
gcolor=#e7dcc3\|Vertices	26 = 6 + 8 + 12
gcolor=#e7dcc3\|Face configuration	4,6,8
gcolor=#e7dcc3\|Symmetry group	octahedral (O_h)
gcolor=#e7dcc3\|Dual polyhedron	truncated cuboctahedron
gcolor=#e7dcc3\|Properties	convex, face-uniform

A disdyakis dodecahedron 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.

Disdyakis Dodecahedron

See also