disdyakis triacontahedron

bgcolor=#e7dcc3 colspan=2\|Disdyakis triacontahedron
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	120
gcolor=#e7dcc3\|Edges	180
gcolor=#e7dcc3\|Vertices	62 = 12 + 20 + 30
gcolor=#e7dcc3\|Face configuration	4,6,10
gcolor=#e7dcc3\|Symmetry group	icosahedral (I_h)
gcolor=#e7dcc3\|Dual polyhedron	truncated icosidodecahedron
gcolor=#e7dcc3\|Properties	convex, face-uniform

A disdyakis triacontahedron is the Catalan solid whose Archimedean dual is the truncated icosidodecahedron. As such it is face uniform but with irregular face polygons. It looks a bit like an inflated rhombic triacontahedron—if one replaces each face of the rhombic triacontahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis triacontahedron.

Disdyakis Triacontahedron

See also