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词条 Cuboctahedral prism
释义

  1. Alternative names

  2. External links

Cuboctahedral prism

Schlegel diagram
One cuboctahedral cell shown
TypePrismatic uniform 4-polytope
Uniform index50
Schläfli symbolt1,3{3,4,2} or r{3,4}×{}
t0,2,3{3,3,2} or rr{3,3}×{}
Coxeter-Dynkinnode|4|node_1|3|node|2|node_1}}
{{CDD|node_1|3|node|3|node_1|2|node_1}}
Cells2 (3.4.3.4)
8 (3.4.4)
6 (4.4.4)
Faces16 {3}
12+24 {4}
Edges60
Vertices24
Vertex figure
Rectangular pyramid
Symmetry group[3,4,2], order 96
[3,3,2], order 48
Propertiesconvex

In geometry, a cuboctahedral prism is a convex uniform 4-polytope. This 4-polytope has 16 polyhedral cells: 2 cuboctahedra connected by 8 triangular prisms, and 6 cubes.

It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.


Net

Transparent Schlegel diagram

Alternative names

  • Cuboctahedral dyadic prism Norman W. Johnson
  • Cope (Jonathan Bowers: for cuboctahedral prism)
  • Rhombioctahedral prism
  • Rhombioctahedral hyperprism

External links

  • {{PolyCell | urlname = section6.html| title = 6. Convex uniform prismatic polychora - Model 50}}
  • {{KlitzingPolytopes|polychora.htm|4D uniform polytopes (polychora)|x o3x4o - cope}}
{{polychora-stub}}

1 : Polychora

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