Truncated icosidodecahedral prism

Truncated icosidodecahedral prism

Schlegel diagram
TypePrismatic uniform 4-polytope
Uniform index63
Schläfli symbolt0,1,2,3{3,5,2} or tr{3,5}×{}
Coxeter-Dynkin
Cells64 total:

2 4.6.10
30 4.4.4
20 4.4.6
12 4.4.10

Faces304 total:
240 {4}
40 {6}
24 {5}
Edges480
Vertices240
Vertex figure
Isosceles-triangular pyramid
Symmetry group[5,3,2], order 240
Propertiesconvex
Net

In geometry, a truncated icosidodecahedral prism or great rhombicosidodecahedral prism is a convex uniform 4-polytope (four-dimensional polytope).

It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.

Alternative names

  • Truncated icosidodecahedral dyadic prism (Norman W. Johnson)
  • Griddip (Jonathan Bowers: for great rhombicosidodecahedral prism/hyperprism)
  • Great rhombicosidodecahedral prism/hyperprism

A full snub dodecahedral antiprism or omnisnub dodecahedral antiprism can be defined as an alternation of an truncated icosidodecahedral prism, represented by ht0,1,2,3{5,3,2}, or , although it cannot be constructed as a uniform 4-polytope. It has 184 cells: 2 snub dodecahedrons connected by 30 tetrahedrons, 12 pentagonal antiprisms, and 20 octahedrons, with 120 tetrahedrons in the alternated gaps. It has 120 vertices, 220 edges, and 284 faces (24 pentagons, and 260 triangles). It has [5,3,2]+ symmetry, order 120.


Vertex figure for full snub dodecahedral antiprism

  • 6. Convex uniform prismatic polychora - Model 63, George Olshevsky.
  • Klitzing, Richard. "4D uniform polytopes (polychora) x x3o5x - griddip".


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.