Compound of six pentagrammic prisms

Compound of six pentagrammic prisms
Type	Uniform compound
Index	UC36
Polyhedra	6 pentagrammic prisms
Faces	12 pentagrams, 30 squares
Edges	90
Vertices	60
Symmetry group	chiral icosahedral (I)
Subgroup restricting to one constituent	5-fold dihedral (D5)

This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagrammic 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:

Rhombicosidodecahedron	Small dodecicosidodecahedron	Small rhombidodecahedron
Small stellated truncated dodecahedron	Compound of six pentagrammic prisms	Compound of twelve pentagrammic prisms

References

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