Compound of ten triangular prisms

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Compound of ten triangular prisms
Rank3
TypeUniform
Notation
Bowers style acronymKri
Elements
Components10 triangular prisms
Faces20 triangles, 30 squares
Edges30+60
Vertices60
Vertex figureIsosceles triangle, edge lengths 1, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–3: 90°
 4–4: 60°
Central density10
Number of external pieces180
Level of complexity30
Related polytopes
ArmySemi-uniform Ti, edge lengths (pentagons), (between ditrigons)
RegimentKri
DualCompound of ten triangular tegums
ConjugateCompound of ten triangular prisms
Convex coreRhombic triacontahedron
Abstract & topological properties
Flag count360
OrientableYes
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

The chirorhombicosahedron, kri, or compound of ten triangular prisms is a uniform polyhedron compound. It consists of 30 squares and 20 triangles, with one triangle and two squares joining at a vertex.

Its quotient prismatic equivalent is the triangular prismatic decayottoorthowedge, which is twelve-dimensional.

Vertex coordinates[edit | edit source]

The vertices of a chirorhombicosahedron 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 disrhombicosahedron.

External links[edit | edit source]