Tetrahedral-antitegmatic triacontateron

The tetrahedral-antitegmatic triacontateron is a convex isoteric polyteron with 30 identical tetrahedral antitegums as tera. It can be obtained as the dual of the small cellidodecateron.

It can also be constructed as the convex hull of 2 dual hexatera, 2 opposite rectified hexatera, and a dodecateron, all of the same edge length.

Each face of this polyhedron is a rhombus with acute angle $$\arccos\left(\frac15\right) ≈ 78.46304°$$ and obtuse angle $$\arccos\left(-\frac15\right) ≈ 101.53696°$$.