Compound of six pentagonal prisms explained

bgcolor=#e7dcc3 colspan=2Compound of six pentagonal prisms
align=center colspan=2
TypeUniform compound
IndexUC34
Polyhedra6 pentagonal prisms
Faces12 pentagons,
30 squares
Edges90
Vertices60
Symmetry groupchiral icosahedral (I)
Subgroup restricting to one constituent5-fold dihedral (D5)
This uniform polyhedron compound is a chiral symmetric arrangement of six pentagonal prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.

Related polyhedra

This compound shares its vertex arrangement with four uniform polyhedra as follows:

References