Medial snub truncatotetrahedral hecatonicosachoron

The medial snub truncatotetrahedral hecatonicosachoron or mestuthi is a convex isogonal polychoron that consists of 120 truncated tetrahedra, 120 snub tetrahedra, 480 triangular-ditrigonal gyrowedges, 1440 phyllic disphenoids of two kinds, and 1440 irregular tetrahedra. 1 truncated tetrahedron, 1 snub tetrahedron, 3 triangular-ditrigonal gyrowedges, 4 phyllic disphenoids, and 4 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.