Tetradecapeton

The tetradecapeton or fe, also called the tritruncated heptapeton or tritruncated 6-simplex, is a convex noble uniform polypeton. It consists of 14 bitruncated hexatera, with 6 joining at each vertex. As the name suggests, it is the tritruncation of the heptapeton. It is the medial stage of truncations between the heptapeton and its dual heptapeton. It is also the medial vertex-first cross-section of the hepteract. It is also the 14-3-5 gyropeton.

Vertex coordinates
The vertices of a tetradecapeton of edge length 1 can be given in seven dimensions as all permutations of:


 * $$\left(\sqrt2,\,\sqrt2,\,\sqrt2,\,\frac{\sqrt2}{2},\,0,\,0,\,0\right).$$

Representations
A tetradecapeton has the following Coxeter diagrams:


 * o3o3x3x3o3o (full symmetry)
 * ooo3xoo3xux3oox3ooo&#xt (A5 axial, facet-first)