Cubic cupola

Cubic cupola

Schlegel diagram
Type Polyhedral cupola
Schläfli symbol {4,3} v rr{4,3}
Cells 28 1 rr{4,3}
1+6 {4,3}
12 {}×{3}
8 {3,3}
Faces 80 32 triangles
48 squares
Edges 84
Vertices 32
Dual
Symmetry group [4,3,1], order 48
Properties convex, regular-faced

In 4-dimensional geometry, the cubic cupola is a 4-polytope bounded by a rhombicuboctahedron, a parallel cube, connected by 6 square prisms, 12 triangular prisms, 8 triangular pyramids.[1]

Related polytopes

The cubic cupola can be sliced off from a runcinated tesseract, on a hyperplane parallel to cubic cell. The cupola can be seen in an edge-centered (B3) orthogonal projection of the runcinated tesseract:

Runcinated tesseract Cube
(cupola top)
Rhombicuboctahedron
(cupola base)
B2 Coxeter plane
B3 Coxeter plane

See also

References

  1. Convex Segmentochora Dr. Richard Klitzing, Symmetry: Culture and Science, Vol. 11, Nos. 1-4, 139-181, 2000 (4.71 cube || rhombicuboctahedron)

External links

This article is issued from Wikipedia - version of the 12/27/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.