Birectified hexateron

A birectified hexateron or birectified 5-simplex, is a uniform 5-polytope with 20 vertices, 90 edges, 120 triangular faces, 60 cells (30 tetrahedral, and 30 octahedral), and 12 hypercells (rectified 5-cells).

It is one of 19 uniform polytopes generated from the regular hexateron.

It is constructed by a birectification operation applied to the hexateron (5-simplex), truncating the faces down to points, and creating new facets from each original vertex.

See also

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

References

* T. Gosset: "On the Regular and Semi-Regular Figures in Space of n Dimensions", Messenger of Mathematics, Macmillan, 1900
* 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] , Jonathan Bowers
* [http://tetraspace.alkaline.org/glossary.htm Multi-dimensional Glossary]