Great biomnitruncatodecachoron

The great biomnitruncatodecachoron or gabotid is a convex isogonal polychoron that consists of 10 great rhombitetratetrahedra, 20 ditrigonal prisms, 20 ditrigonal trapezoprisms, 40 ditrigonal frustums, and 30 rectangular trapezoprisms. 2 ditrigonal frustums and 1 of each of the other 4 cell types join at each vertex.

It is one of a total of four distinct polychora (including two transitional cases) that can be obtained as the convex hull of two opposite great disprismatopentapentachora (that is, variants of the great prismatodecachoron with single A4 symmetry). If the great disprismatopentapentachora are of the form a3b3c3d, then the lacing edges generally have length $$\sqrt{\frac{3(a-d)^2+2(b-c)^2+2(a-d)(b-c)}{5}}$$.

This polychoron can be alternated into a great omnisnub bidecachoron, which is also nonuniform.