Compound of twelve tetrahedra
(Redirected from Disnubahedron)
Compound of twelve tetrahedra | |
---|---|
Rank | 3 |
Type | Uniform |
Notation | |
Bowers style acronym | Dis |
Elements | |
Components | 12 tetrahedra |
Faces | 48 triangles |
Edges | 24+48 |
Vertices | 48 |
Vertex figure | Equilateral triangle, edge length 1 |
Measures (edge length 1) | |
Circumradius | |
Inradius | |
Volume | |
Dihedral angle | |
Central density | 12 |
Related polytopes | |
Army | Semi-uniform Girco |
Regiment | Dis |
Dual | Compound of twelve tetrahedra |
Conjugate | Compound of twelve tetrahedra |
Convex core | Disdyakis dodecahedron |
Abstract & topological properties | |
Schläfli type | {3,3} |
Orientable | Yes |
Properties | |
Symmetry | B3, order 48 |
Convex | No |
Nature | Tame |
The disnubahedron, dis, or compound of twelve tetrahedra is a uniform polyhedron compound. It consists of 48 triangles, with three faces joining at a vertex.
This compound has rotational freedom. In fact it can be formed from the rhombisnub dishexahedron by replacing each cube with the inscribed stella octangula.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices of a disnubahedron of edge length 1 and rotation angle θ are given by all permutations of:
- .
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C5: Tets and Cubes" (#33).
- Klitzing, Richard. "dis".
- Wikipedia contributors. "Compound of twelve tetrahedra with rotational freedom".