Antiwedged bitetratetrahedral diacositetracontachoron

The antiwedged bitetratetrahedral diacositetracontachoron or awbtetid is a convex isogonal polychoron that consists of 240 tetrahedra, 480 triangular gyroprisms, 1440 tetragonal antiwedges, 720 rhombic disphenoids and 1440 phyllic disphenoids, and 2880 irregular tetrahedra. 1 tetrahedron, 3 triangular gyroprisms, 6 tetragonal gyrowedges, 3 rhombic disphenoids, 6 phyllic disphenoids, and 12 irregular tetrahedra join at each vertex. However, it cannot be made scaliform.

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Tetrahedron (240): Bitetrahedral diacositetracontachoron
 * Rhombic disphenoid (720): Snub bitetrahedral diacositetracontachoron