Compound of five tetrahemihexahedra

From Wikipedia, the free encyclopedia

Compound of five tetrahemihexahedra
Type Uniform compound
Index UC18
Polyhedra 5 tetrahemihexahedra
Faces 20 Triangles,
15 squares
Edges 60
Vertices 30
Symmetry group chiral icosahedral (I)
Subgroup restricting to one constituent chiral tetrahedral (T)

This uniform polyhedron compound is a symmetric arrangement of five tetrahemihexahedra.

It is chiral with icosahedral symmetry (I), and its convex hull is an icosidodecahedron. It shares its edges and triangular faces with the compound of five octahedra.

[edit] References

  • John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
This polyhedron-related article is a stub. You can help Wikipedia by expanding it.
Languages