Octahedral truncate (EntityTopic, 11)

From Higher Dimensions Database

The octahedral truncate is a particular uniform polyhedron. It is special because it is one of only five regular-faced convex polyhedra that can tile the realm (the others being the cube, triangular prism, hexagonal prism and gyrobifastigium).

Incidence matrix

Dual: tetrakis hexahedron

#TXIDVaEaEb4a6aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 Eb 2 = digon ;
3 4a 404 = square ;
4 6a 633 = hexagon ;
5 C1a 24122468 = truncated octahedron ;

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