Compound of four triangular prisms

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Compound of four triangular prisms
Rank3
TypeUniform
Notation
Bowers style acronymRo
Elements
Components4 triangular prisms
Faces8 triangles, 12 squares
Edges12+24
Vertices24
Vertex figureIsosceles triangle, edge length 1, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–4: 60°
 4–3: 90°
Central density4
Number of external pieces56
Level of complexity26
Related polytopes
ArmyNon-uniform Snic, edge lengths (squares), (equilateral triangles), (between scalene triangles)
RegimentRo
DualCompound of four triangular tegums
ConjugateCompound of four triangular prisms
Convex coreRhombic dodecahedron
Abstract & topological properties
Flag count144
OrientableYes
Properties
SymmetryB3+, order 24
ConvexNo
NatureTame

The rhomboctahedron, ro, or compound of four triangular prisms is a uniform polyhedron compound. It consists of 12 squares and 8 triangles, with one triangle and two squares joining at a vertex.

Its quotient prismatic equivalent is the triangular prismatic tetrahedroorthowedge, which is six-dimensional.

Vertex coordinates[edit | edit source]

The vertices of a rhomboctahedron of edge length 1 are given by all even sign changes and even permutations, plus all odd sign changes and odd permutatoins, of:

  • .

Related polyhedra[edit | edit source]

This compound is chiral. The compound of the two enantiomorphs is the disrhomboctahedron.

External links[edit | edit source]