Compound of six decagonal prisms

From Polytope Wiki
Jump to navigation Jump to search
Compound of six decagonal prisms
Rank3
TypeUniform
Notation
Bowers style acronymRassid
Elements
Components6 decagonal prisms
Faces60 squares, 12 decagons
Edges60+60+60
Vertices120
Vertex figureIsosceles triangle, edge length (5+5)/2, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–4: 144°
 4–10: 90°
Central density6
Number of external pieces600
Level of complexity34
Related polytopes
ArmySemi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle)
RegimentRassid
DualCompound of six decagonal tegums
ConjugateCompound of six decagrammic prisms
Convex coreDodecahedron
Abstract & topological properties
Flag count720
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The rhombisnub dodecahedron, rassid, or compound of six decagonal prisms is a uniform polyhedron compound. It consists of 60 squares and 12 decagons, with one decagon and two squares joining at a vertex.

Its quotient prismatic equivalent is the dipentagonal trapezoprismatic hexateroorthowedge, which is eight-dimensional.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

Coordinates for the vertices of a rhombisnub dodecahedron of edge length 1 are given by all even permutations of:

  • ,
  • ,
  • ,
  • ,
  • .

External links[edit | edit source]