Английская Википедия:Cuboctahedral prism

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Cuboctahedral prism
Файл:Cuboctahedral prism.png
Schlegel diagram
One cuboctahedral cell shown
Type Prismatic uniform 4-polytope
Uniform index 50
Schläfli symbol t1,3{3,4,2} or r{3,4}×{}
t0,2,3{3,3,2} or rr{3,3}×{}
Coxeter-Dynkin Шаблон:CDD
Шаблон:CDD
Cells 2 (3.4.3.4)Файл:Cuboctahedron.png
8 (3.4.4)Файл:Triangular prism.png
6 (4.4.4)Файл:Hexahedron.png
Faces 16 {3}
12+24 {4}
Edges 60
Vertices 24
Vertex figure Файл:Cuboctahedral prism verf.png
Rectangular pyramid
Symmetry group [3,4,2], order 96
[3,3,2], order 48
Properties convex

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.

Файл:Cuboctahedral prism net.png
Net
Файл:Cuboctahedral hyperprism Schlegel.png
Transparent Schlegel diagram

Alternative names

  • Cuboctahedral dyadic prism
  • Rhombioctahedral prism
  • Rhombioctahedral hyperprism

External links


Шаблон:Polychora-stub