Jump to navigation Jump to search
|Bowers style acronym||Kred|
|Components||6 pentagonal prisms|
|Faces||30 squares, 12 pentagons|
|Vertex figure||Isosceles triangle, edge lengths (1+√5)/2, √2, √2|
|Measures (edge length 1)|
|Dihedral angles||4–4: 108°|
|Number of external pieces||180|
|Level of complexity||34|
|Dual||Compound of six pentagonal tegums|
|Abstract & topological properties|
|Symmetry||H3+, order 60|
The chirorhombidodecahedron, rhombidodecahedron, kred, or compound of six pentagonal prisms is a uniform polyhedron compound. It consists of 30 squares and 12 pentagons, with one pentagon and two squares joining at a vertex.
Its quotient prismatic equivalent is the pentagonal prismatic hexateroorthowedge, which is eight-dimensional.
Vertex coordinates[edit | edit source]
The vertices of a chirorhombidodecahedron of edge length 1 are given by all permutations of:
Plus all even permutations of:
Related polyhedra[edit | edit source]
This compound is chiral. The compound of the two enantiomorphs is the disrhombidodecahedron.
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C7: Chiral and Doubled Prismatics" (#40).
- Klitzing, Richard. "kred".
- Wikipedia Contributors. "Compound of six pentagonal prisms".