Tetradekeract

The tetradekeract, also called the 14-cube or icosioctatradakon, is one of the 3 regular polytradaka. It has 28 tridekeracts as facets, joining 3 to a hendon and 14 to a vertex.

It is the 14-dimensional hypercube. As such it is a hepteract duoprism and square heptaprism.

It can be alternated into a demitetradekeract, which is uniform.

Vertex coordinates
The vertices of a tetradekeract of edge length 1, centered at the origin, are given by:
 * $$\left(\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12\right).$$