Truncated icositetrachoric tetracomb

The truncated icositetrachoric tetracomb, or ticot, is a convex uniform tetracomb. 4 truncated icositetrachora and 1 tesseract join at each vertex of this tessellation. As the name suggests, it is the truncation of the icositetrachoric tetracomb.

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


 * $$\left(3\sqrt2i,\,±\frac{\sqrt2}{2}+3\sqrt2j,\,±\sqrt2+3\sqrt2k,\,±\frac{3\sqrt2}{2}+3\sqrt2l\right),$$

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

Representations
A truncated icositetrachoric tetracomb has the following Coxeter diagrams:


 * x3x4o3o3o (full symmetry)
 * o3o4x3x3x (as great rhombated hexadecachoric tetracomb)
 * o4x3x3x4o (as great birhombated tesseractic tetracomb)
 * x3x3x *b3o4o (demitesseractic tetracomb symmetry)
 * x3x3x *b3x *b3x (omnitruncate with quartertesseractic symmetry)