Transitional bicantitruncatotetracontoctachoron

The transitional bi-canti-truncato-decachoron or tabcatic is a convex isogonal polychoron that consists of 48 truncated cubes, 144 ditetragonal trapezoprisms, and 192 triangular trapezorhombihedra. 1 truncated cube, 2 ditetrgonal trapezoprisms, and 2 triangular trapezorhombihedra join at each verex.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform variants of the great rhombated icositetrachoron, where if the great rhombated icositetrachora are of the form a3b4c3o, then c = b+a/2. It is one of five polychora (including two transitional cases) formed from two great rhombated icositetrachora, and is the transitional point between the small bicantitruncatotetracontoctachoron and medial bicantitruncatotetracontoctachoron.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is $$1:\frac{2+\sqrt2}{2}\approx 1:1.70711$$.