truncated 5-cell, projected into 3D

The 4D analogy to a tetrahedron is called a 5-cell, or 4-Simplex. It has only 5 vertices, and 10 edges.  If its corners are truncated at 1/3 of the way along the edges, the resultant 4D solid is called a truncated 5-cell. It has 20 vertices and 40 edges. It can be projected into 3 dimensions, and one of those possible projections is modeled here as a wireframe projection. Edge length and angle are not preserved in the projection.