Cubic truncate (EntityTopic, 11)

From Higher Dimensions Database

The cubic truncate (CT) is a uniform polyhedron which can be seen as a 3-dimensional analog of the octagon. The other possible analog is the cuboctahedral rectate (COR). While the CT has the octagons on the surface of the shape, the COR has them embedded inside it. Thus when one is concerned with powertopes, the COR comprises three "long and thin" cuboids whereas the CT comprises three "wide and flat" cuboids.

Incidence matrix

Dual: triakis octahedron

#TXIDVaEaEb8a3aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 Eb 2 = digon ;
3 8a 844 = octagon ;
4 3a 303 = triangle ;
5 C1a 24122468 = truncated cube ;

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