Compound of four hexagonal prisms
Compound of four hexagonal prisms | |
---|---|
![]() | |
Type | Uniform compound |
Index | UC38 |
Polyhedra | 4 hexagonal prisms |
Faces | 8 hexagons, 24 squares |
Edges | 72 |
Vertices | 48 |
Symmetry group | octahedral (Oh) |
Subgroup restricting to one constituent | 3-fold antiprismatic (D3d) |
This uniform polyhedron compound is a symmetric arrangement of 4 hexagonal prisms, aligned with the axes of threefold rotational symmetry of an octahedron.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the permutations of
- (±1, ±(1−√6), ±(1+√6))
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.
This article is issued from Wikipedia - version of the 11/16/2013. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.