Triangular duoprismatic tetracomb

The triangular duoprismatic honeycomb, is a convex noble uniform tetracomb. 36 triangular duoprisms join at each vertex of this tessellation. It is the honeycomb product of two triangular tilings.

Vertex coordinates
The vertices of a triangular prismatic honeycomb of edge length 1 are given by

where i, j, k, l range over the integers.
 * $$\left(i\frac{\sqrt3}{2},\,j+\frac{i}{2},\,k\frac{\sqrt3}{2},\,l+\frac{k}{2}\right),$$