Rectified icositetrachoric tetracomb

The rectified icositetrachoric tetracomb, or ricot, is a convex uniform tetracomb. 4 rectified icositetrachora and 2 tesseracts join at each vertex of this tessellation. As the name suggests, it is the rectification of the icositetrachoric tetracomb.

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


 * $$\left(2\sqrt2i,\,±\frac{\sqrt2}{2}+2\sqrt2j,\,±\frac{\sqrt2}{2}+2\sqrt2k,\,±\sqrt2+2\sqrt2l\right),$$

where i, j, k, and l range over the integers.

Representations
A rectified icositetrachoric tetracomb has the following Coxeter diagrams:


 * o3x4o3o3o (full symmetry)
 * o3o4x3o3x (as small rhombated hexadecachoric tetracomb)
 * o4x3o3x4o (as small birhombated tesseractic tetracomb
 * x3o3x *b3x4o (demitesseractic tetracomb symmetry)
 * x3o3x *b3x *b3x (quartertesseractic symmetry)