Transitional biprismatorhombatodecachoron

The transitional biprismatorhombatodecachoron or tabipard is a convex isogonal polychoron that consists of 10 orthoaligned great rhombitetratetrahedra, 30 rectangular trapezoprisms, and 20 triangular prisms. 22 orthoaligned great rhombitetratetrahedra, 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 pentachoron, where if the prismatorhombated pentachora are of the form a3b3o3c, then c = a+b/3 It is one of five polychora (including two transitional cases) formed from two prismatorhombated pentachora, and is the transitional point between the small biprismatorhombatodecachoron and medial biprismatorhombatodecachoron.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{3+\sqrt3}{3}$$ ≈ 1:1.57735.