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词条 Cuboctahedral pyramid
释义

  1. References

  2. External links

Cuboctahedral pyramid

Schlegel diagram
TypePolyhedral pyramid
Schläfli symbol( ) ∨ r{4,3}
Cells151 cuboctahedron
6 square pyramids
8 triangular pyramids
Faces38:8+24 triangles
6 squares
Edges36
Vertices13
Dualrhombic dodecahedral pyramid
Symmetry groupB3, [4,3,1], order 48
Propertiesconvex

In 4-dimensional geometry, the cuboctahedral pyramid is bounded by one cuboctahedron on the base, 6 square pyramid, and 8 triangular pyramid cells which meet at the apex. It has 38 faces: 32 triangles and 6 squares. It has 32 edges, and 13 vertices.

Since a cuboctahedron's circumradius is equal to its edge length,[1] the triangles must be taller than equilateral to create a positive height.

The dual to the cuboctahedral pyramid is a rhombic dodecahedral pyramid, seen as a rhombic dodecahedral base, and 12 rhombic pyramids meeting at an apex.

References

1. ^{{KlitzingPolytopes|polyhedra.htm|3D convex uniform polyhedra|o3x4o - co}}

External links

  • {{GlossaryForHyperspace |anchor=Pyramid |title=Pyramid}}
  • Richard Klitzing, Axial-Symmetrical Edge Facetings of Uniform Polyhedra
{{commons category|Pyramids (geometry)}}{{Polychora-stub}}

1 : Polychora

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