Compound of six pentagrammic prisms

Compound of six pentagrammic prisms
File:UC36-6 pentagrammic prisms.png
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:

File:Small rhombicosidodecahedron.png Rhombicosidodecahedron	File:Small dodecicosidodecahedron.png Small dodecicosidodecahedron	File:Small rhombidodecahedron.png Small rhombidodecahedron
File:Small stellated truncated dodecahedron.png Small stellated truncated dodecahedron	File:UC36-6 pentagrammic prisms.png Compound of six pentagrammic prisms	File:UC37-12 pentagrammic prisms.png Compound of twelve pentagrammic prisms

References

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