Cubic cupolaSchlegel diagramTypePolyhedral cupolaSchläfli symbol{4,3} v rr{4,3}Cells281 rr{4,3} 1+6 {4,3} 12 {}×{3} 8 {3,3} Faces8032 triangles 48 squaresEdges84Vertices32DualSymmetry group[4,3,1], order 48Propertiesconvex, 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.Convex Segmentochora Dr. Richard Klitzing, Symmetry: Culture and Science, Vol. 11, Nos. 1-4, 139-181, 2000 (4.71 cube || rhombicuboctahedron)
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 tesseractCube(cupola top)Rhombicuboctahedron(cupola base)B2 Coxeter planeB3 Coxeter plane
See also Cubic pyramid Octahedral cupola Runcinated tesseract
References
External links Segmentochora: cube || sirco, K-4.71