Medial biprismatorhombatodecachoron

The medial biprismatorhombatodecachoron or mabipard is a convex isogonal polychoron that consists of 10 truncated tetrahedra, 30 rectangular trapezoprisms, 20 triangular prisms, 20 triangular antiprisms, and 40 triangular cupolas. 1 truncated tetrahedron, 2 rectangular trapezoprisms, 1 triangular prism, 1 triangular antiprism, and 3 triangular cupolas join at each vertex.

It is one of a total of five distinct polychora (including two transitional cases) that can be obtained as the convex hull of two opposite prismatorhombated pentachora. In this case, if the prismatorhombated pentachora are of the form a3b3o3c, then c must be between a+b/3 (producing the transitional biprismatorhombatodecachoron) and a+2b (producing the truncated small prismatodecachoron). The lacing edges generally have length $$\sqrt{\frac{3a^2+2b^2+3c^2+2ab-6ac-2bc}{5}}$$.