HOME
The Info List - 5-simplex


--- Advertisement ---



(i) (i) (i) (i) (i)

In five-dimensional geometry , a 5-simplex
5-simplex
is a self-dual regular 5-polytope . It has six vertices , 15 edges , 20 triangle faces , 15 tetrahedral cells , and 6 5-cell facets . It has a dihedral angle of cos−1(1/5), or approximately 78.46°.

CONTENTS

* 1 Alternate names * 2 Regular hexateron cartesian coordinates * 3 Projected images * 4 Related uniform 5-polytopes * 5 Other forms * 6 Notes * 7 References * 8 External links

ALTERNATE NAMES

It can also be called a HEXATERON, or HEXA-5-TOPE, as a 6-facetted polytope in 5-dimensions. The name hexateron is derived from hexa- for having six facets and teron (with ter- being a corruption of tetra- ) for having four-dimensional facets.

By Jonathan Bowers, a hexateron is given the acronym HIX.

REGULAR HEXATERON CARTESIAN COORDINATES

The hexateron can be constructed from a 5-cell by adding a 6th vertex such that it is equidistant from all the other vertices of the 5-cell.

The Cartesian coordinate