Icositetrachoric tetracomb

The Icositetrachoric tetracomb or test, also called the 24-cell tetracomb, also -honeycomb, is one of three regular tetracombs or tessellations of 4D Euclidean space. 3 icositetrachoras join at each face, and 8 join at each vertex of this honeycomb.

Vertex coordinates
The vertices of an icositetrachoric tetracomb of edge length 1 are given by: where i, j, k, l are integers.
 * (i, j, k, l),
 * (i+1/2, j+1/2, k+1/2, l+1/2) for i+j+k+l even