Grand ditetrahedronary hexacosihecatonicosachoron

{{Infobox polytope The grand ditetrahedronary hexacosihecatonicosachoron, or gadtaxhi, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra and 120 great ditrigonary icosidodecahedra. 4 great ditrigonary icosidodecahedra and 4 tetrahedra join at each vertex.
 * type=Uniform
 * dim = 4
 * img = Gadtaxhi card Bowers.jpeg
 * obsa = Gadtaxhi
 * cells = 600 tetrahedra, 120 great ditrigonary icosidodecahedra
 * faces = 2400 triangles, 720 pentagons
 * edges = 3600
 * vertices = 600
 * verf = Quasitruncated tetrahedron, edge lengths 1 (triangle edges) and (1+$\sqrt{5}$)/2 (other edges)
 * coxeter = o3o3o5x3/2*b ({{CDD|label5|branch_10|split2-t3|node|1|node}})
 * army=Hi
 * reg=Gadtaxady
 * symmetry = H4, order 14400
 * circum = \frac{\frac{\sqrt{10}-\sqrt2}{2} ≈ 0.87403
 * hypervolume = $$5\frac{100-37\sqrt5}{4} ≈ 21.58186$$
 * density = 218
 * euler=–600
 * dich = Gidtid–3–tet: $$\arccos\left(\frac{\sqrt{7-3\sqrt5}}{4}\right) ≈ 82.23876°$$
 * dich2 = Gidtid–5–gidtid: 72°
 * pieces = 78000
 * loc = 261
 * conjugate=Small ditetrahedronary hexacosihecatonicosachoron
 * conv = No
 * orientable=Yes
 * nat=Tame}}

It is in the same regiment as the grand ditetrahedronary hexacosidishecatonicosachoron.