- cross-polytopes or orthoplexes. The dual
polytope is an 8-hypercube, or octeract.
Octacross,
derived from
combining the
family name
cross polytope with oct for eight...
-
final truncations are best
expressed relative to the 8-cube.
Truncated octacross (acronym tek) (Jonthan Bowers)
There are two
Coxeter groups ****ociated...
- 8-orthoplex is the
vertex figure for the
demiocteractic honeycomb. or
rectified octacross rectified diacosipentacontahexazetton (Acronym: rek) (Jonathan Bowers)...
- {34,31,1} 7{ } 14 84 280 560 672 448 128 1 8 β8 511 8-orthoplex
Octacross {36,4} {35,31,1} 8{ } 16 112 448 1120 1792 1792 1024 256 1 9 β9 611...
- {33}
Cells 2016 {3,3}
Faces 672 {3}
Edges 144
Vertices 18
Vertex figure Octacross Petrie polygon Octadecagon Coxeter groups C9, [37,4] D9, [36,1,1] Dual...
- two
regular ones: {4,36} - 8-cube or octeract- {36,4} - 8-orthoplex or
octacross -
Demihypercube D8 family: [35,1,1] - 191
uniform 8-polytopes as permutations...
