Compound of five octahemioctahedra
(Redirected from Icosidisicosahedron)
Compound of five octahemioctahedra | |
---|---|
Rank | 3 |
Type | Uniform |
Notation | |
Bowers style acronym | Iddei |
Elements | |
Components | 5 octahemioctahedra |
Faces | 40 triangles as 20 hexagrams, 20 hexagons as 10 stellated dodecagons |
Edges | 120 |
Vertices | 60 |
Vertex figure | Bowtie, edge lengths 1 and √3 |
Measures (edge length 1) | |
Circumradius | 1 |
Volume | 0 |
Dihedral angle | |
Central density | 0 |
Number of external pieces | 320 |
Level of complexity | 18 |
Related polytopes | |
Army | Semi-uniform Srid, edge lengths (pentagons), (triangles) |
Regiment | Arie |
Dual | Compound of five octahemioctacrons |
Conjugate | Compound of five octahemioctahedra |
Abstract & topological properties | |
Flag count | 480 |
Orientable | Yes |
Properties | |
Symmetry | H3, order 120 |
Convex | No |
Nature | Tame |
The icosicosicosahedron, icosidisicosahedron, iddei, or compound of five octahemioctahedra is a uniform polyhedron compound. It consists of 40 triangles (which form coplanar pairs combining into 20 hexagrams) and 20 hexagons (also pairing up into 10 stellated dodecagons), with two of each joining at a vertex.
It can be formed by replacing each cuboctahedron in the antirhombicosicosahedron with the octahemioctahedron with which it shares its edge skeleton.
Its quotient prismatic equivalent is the octahemioctahedral pentachoroorthowedge, which is seven-dimensional.
Gallery[edit | edit source]
Traditional filling |
Binary filling |
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the antirhombicosicosahedron.
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C3: Fivers" (#13).
- Klitzing, Richard. "iddei".
- Wikipedia contributors. "Compound of five octahemioctahedra".