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词条 Compound of two great icosahedra
释义

  1. References

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Compound of two great icosahedra
TypeUniform compound
IndexUC52
Polyhedra2 great icosahedra
Faces16+24 triangles
Edges60
Vertices24
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituentpyritohedral (Th)

This uniform polyhedron compound is a composition of 2 great icosahedra, in the same arrangement as in the compound of 2 icosahedra.

The triangles in this compound decompose into two orbits under action of the symmetry group: 16 of the triangles lie in coplanar pairs in octahedral planes, while the other 24 lie in unique planes.

The great icosahedron, as a uniform retrosnub tetrahedron , is similar to these snub-pair compounds: compound of two icosahedra, compound of two snub cubes and compound of two snub dodecahedra.

References

  • {{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=Mathematical Proceedings of the Cambridge Philosophical Society|volume=79|pages=447–457|year=1976|doi=10.1017/S0305004100052440|mr=0397554|issue=3}}.

External links

  • VRML model:  {{dead link|date=August 2017 |bot=InternetArchiveBot |fix-attempted=yes }}
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1 : Polyhedral compounds

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