Compound of twelve tetrahedra

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Compound of twelve tetrahedra
Rank3
TypeUniform
Notation
Bowers style acronymDis
Elements
Components12 tetrahedra
Faces48 triangles
Edges24+48
Vertices48
Vertex figureEquilateral triangle, edge length 1
Measures (edge length 1)
Circumradius
Inradius
Volume
Dihedral angle
Central density12
Related polytopes
ArmySemi-uniform Girco
RegimentDis
DualCompound of twelve tetrahedra
ConjugateCompound of twelve tetrahedra
Convex coreDisdyakis dodecahedron
Abstract & topological properties
Schläfli type{3,3}
OrientableYes
Properties
SymmetryB3, order 48
ConvexNo
NatureTame

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]