Cubic cupola explained

bgcolor=#e7dcc3 colspan=3	Cubic cupola
align=center colspan=3	Schlegel diagram
Type	Polyhedral cupola
Schläfli symbol	v rr
Cells	28
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:

See also

• Cubic pyramid
• Octahedral cupola
• Runcinated tesseract

External links

• Segmentochora: cube || sirco, K-4.71

Notes and References

1. http://www.bendwavy.org/klitzing/pdf/artConvSeg_8.pdf Convex Segmentochora