“Compound of six pentagonal prisms”的意思、由来-开放百科全书

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Compound of six pentagonal prisms

释义

Related polyhedra
References

Compound of six pentagonal prisms

Type	Uniform compound
Index	UC₃₄
Polyhedra	6 pentagonal prisms
Faces	12 pentagons, 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 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:

Nonconvex great rhombicosidodecahedron	Great dodecicosidodecahedron	Great rhombidodecahedron
Truncated great dodecahedron	Compound of six pentagonal prisms	Compound of twelve pentagonal prisms

References

{{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=Mathematical Proceedings of the Cambridge Philosophical Society|volume=79|issue=03|pages=447–457|year=1976|doi=10.1017/S0305004100052440|mr=0397554}}.

1 : Polyhedral compounds

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