Rectified hepteract

The rectified hepteract, or rasa, also called the rectified 7-cube, is a convex uniform polyexon. It consists of 14 rectified hexeracts and 128 regular heptapeta. Two heptapeta and 6 rectified hexeracts join at each hexateric prismatic vertex. As the name suggests, it is the rectification of the hepteract.

Vertex coordinates
The vertices of a rectified hepteract of edge length 1 are given by all permutations of:


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

Representations
A rectified hepteract has the following Coxeter diagrams:


 * o4x3o3o3o3o3o (full symmetry)
 * x3o3x *b3o3o3o3o (D7 symmetry)
 * oqo4xox3ooo3ooo3ooo3ooo&#xt (B6 axial, rectified hexeract-first)