Stauropantohedron (EntityTopic, 11)

From Higher Dimensions Database

(Redirected from Cuboctahedral truncate)

The stauropantohedron, also known as the omnitruncated cube, great rhombicuboctahedron, rhombitruncated cuboctahedron and truncated cuboctahedron, is the omnitruncate of the cube and octahedron.

Incidence matrix

Dual: disdyakis dodecahedron

#TXIDVaEaEbEc8a4a6aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 Eb 2 = digon ;
3 Ec 2 = digon ;
4 8a 8440 = octagon ;
5 4a 4202 = square ;
6 6a 6033 = hexagon ;
7 C1a 482424246128 = stauropantohedron ;

Usage as facets

This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind