Omnitruncated hexateron

In 5-dimensional geometry, an omnitruncated hexateron or omnitruncated 5-simplex, is a uniform 5-polytope. It is constructed by a omnitruncation operation applied to the hexateron (5-simplex).

It has 720 vertices, 1800 edges, 1560 triangular faces, 540 cells (360 truncated octahedrons, 90 cubes, and 90 hexagonal prisms), and 62 hypercells (12 omnitruncated 5-cells, 30 truncated octahedral prisms, and 20 6-6 duoprisms).

With 720 vertices, it is the largest of 19 uniform polytopes generated from the regular hexateron.

Tessellations

Like all uniform omnitruncated n-simplices, the omnitruncated hexateron can tessellate space by itself, in this case 5-dimensional space with 3 facets around each cell. It has Coxeter-Dynkin diagram of , "Uniform Panoploid Tetracombs", Manuscript (2006)]

See also

* Other 5-polytopes (regular):
** Hexateron - {3,3,3,3}
** Penteract - {4,3,3,3}
** Pentacross - {3,3,3,4}

Notes

References

* Norman Johnson "Uniform Polytopes", Manuscript (1991)
* Richard Klitzing 5D quasiregulars, (multi)prisms, non-prismatic Wythoffian polyterons

External links

* [http://members.aol.com/Polycell/glossary.html#simplex Glossary for hyperspace]
* [http://www.polytope.net/hedrondude/topes.htm Polytopes of Various Dimensions]
* [http://tetraspace.alkaline.org/glossary.htm Multi-dimensional Glossary]