Compound of ten hexagonal prisms

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Compound of ten hexagonal prisms
Rank3
TypeUniform
Notation
Bowers style acronymRosi
Elements
Components10 hexagonal prisms
Faces60 squares, 20 hexagons
Edges60+60+60
Vertices120
Vertex figureIsosceles triangle, edge length 3, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–4: 120°
 4–6: 90°
Central density10
Number of external pieces1260
Level of complexity87
Related polytopes
ArmySemi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle)
RegimentRosi
DualCompound of ten hexagonal tegums
ConjugateCompound of ten hexagonal prisms
Convex coreIcosahedron
Abstract & topological properties
Flag count720
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The rhombisnub icosahedron, rosi, or compound of ten hexagonal prisms is a uniform polyhedron compound. It consists of 60 squares and 20 hexagons, with one hexagon and two squares joining at a vertex.

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

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices of a rhombisnub icosahedron of edge length 1 are given by all even permutations of:

  • ,
  • ,
  • ,
  • ,
  • .

External links[edit | edit source]