Octahedral truncate (EntityTopic, 11)

From Hi.gher. Space

(Difference between revisions)

Revision as of 22:15, 16 February 2014

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

#	TXID	Va	Ea	Eb	4a	6a	Type	Name
0	Va						= point	;
1	Ea	2					= digon	;
2	Eb	2					= digon	;
3	4a	4	0	4			= square	;
4	6a	6	3	3			= hexagon	;
5	C1a	24	12	24	6	8	= truncated octahedron	;

Usage as facets

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

Notable Trishapes
Regular:	tetrahedron • cube • octahedron • dodecahedron • icosahedron
Direct truncates:	tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate
Mesotruncates:	stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron
Snubs:	snub staurohedron • snub rhodohedron
Curved:	sphere • torus • cylinder • cone • frustum • crind

@@ Line 20: / Line 20: @@
 }}}}
 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]]).
+<[#polytope [id 12]]>
 {{Trishapes}}