Bitruncated 5-cell

In four dimensional geometry, the bitruncated 5-cell, or bitruncated pentachoron, is a 4-dimensional polytope, or polychoron, composed of 10 cells in the shape of truncated tetrahedra. Each hexagonal face of the truncated tetrahedra is joined in complementary orientation to the neighboring truncated tetrahedron. Each edge is shared by two hexagonal faces and one triangular face.

The bitruncated 5-cell is the intersection of two pentachora in dual configuration.

It is one of the two non-regular uniform polychora which are cell-transitive. The other is the bitruncated 24-cell, which is composed of 48 truncated cubes.

Alternative names

* Bitruncated pentachoron
* Bitruncated pentatope
* Bitruncated 4-simplex
* (Truncated-tetrahedral) decachoron
* Deca (Jonathan Bowers: for decachoron)

Images

ee also

*Pentatope
*Bitruncated 24-cell
*Uniform polychoron

External links

*GlossaryForHyperspace | anchor=Pentachoron | title=Pentachoron
** [http://members.aol.com/Polycell/section1.html (6) Convex uniform polychora based on the pentachoron] , George Olshevsky