Transitional biprismatorhombatotetracontoctachoron

The transitional biprismatorhombatotetracontoctachoron or tabiparc is a convex isogonal polychoron that consists of 48 orthoaligned great rhombicuboctahedra, 288 rectangular trapezoprisms, and 192 triangular prisms. 2 orthoaligned great rhombicuboctahedra, 2 rectangular trapezoprisms, and 1 triangular prism join at each vertex.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform variants of the prismatorhombated icositetrachoron, where if the prismatorhombated icositetrachora are of the form a3b4o3c, then c = $$a+\frac{2-\sqrt2}{2}b$$. It is one of five polychora (including two transitional cases) formed from two prismatorhombated icositetrachora, and is the transitional point between the small biprismatorhombatotetracontoctachoron and medial biprismatorhombatotetracontoctachoron.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2+\sqrt{4-2\sqrt2}}{2}$$ ≈ 1:1.54120.