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词条 Snub cubic prism
释义

  1. See also

  2. Alternative names

  3. External links

Snub cubic prism

Schlegel diagram
TypePrismatic uniform polychoron
Uniform index56
Schläfli symbolsr{4,3}×{}
Coxeter-Dynkin{{CDD3|node_h|4|node_h|2|node_1}
Cells40 total:

2 4.3.3.3.3


32 3.4.4
6 4.4.4
Faces136 total:
64 {3}
72 {4}
Edges144
Vertices48
Vertex figure
irr. pentagonal pyramid
Symmetry group[(4,3)+,2], order 48
Propertiesconvex

In geometry, a snub cubic prism or snub cuboctahedral prism is a convex uniform polychoron (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.

See also

  • Snub cubic antiprism s{4,3,2} - A related nonuniform polychoron

Alternative names

  • Snub-cuboctahedral dyadic prism (Norman W. Johnson)
  • Sniccup (Jonathan Bowers: for snub-cubic prism)
  • Snub-cuboctahedral hyperprism
  • Snub-cubic hyperprism

External links

  • {{PolyCell | urlname = section6.html| title = 6. Convex uniform prismatic polychora - Model 56}}
  • {{KlitzingPolytopes|polychora.htm|4D uniform polytopes (polychora)| s3s4s x - sniccup}}
{{polychora-stub}}

1 : Polychora

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