Great dishecatonicosintercepted dishecatonicosachoron

{{Infobox polytope The great dishecatonicosintercepted dishecatonicosachoron, or gid hinady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 small icosicosidodecahedra, 120 truncated dodecahedra, and 120 icosidodecatruncated icosidodecahedra. One great icosidodecahedron, two small icosicosidodecahedra, two truncated dodecahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.
 * img = Swavixady.png
 * dim = 4
 * type = Uniform
 * obsa = Gid hinady
 * off=Gid hinady.off
 * symmetry = H{{sub|4}}, order 14400
 * army = Semi-uniform srix
 * regiment = Swavixady
 * verf = Inverted wedge, edge lengths 1 (3), (1+$\sqrt{5}$)/2 (2), $\sqrt{3}$ (4), $\sqrt{(5+√5)/2} (4), and √(5–√5)/2 (2)
 * cells = 120 great icosidodecahedra, 120 truncated dodecahedra, 120 small icosicosidodecahedra, 120 icosidodecatruncated icosidodecahedra
 * faces = 1200+2400 triangles, 1440 pentagrams, 2400 hexagons, 1440 decagons, 720 decagrams
 * edges = 3600+7200
 * vertices = 3600
 * circum = $$\sqrt{\frac{15+3\sqrt5}{2}} \approx 3.29456$$
 * hypervolume = $$5\frac{5065+2279\sqrt5}{4} ≈ 12701.2487$$
 * dich = Siid–5/2–gid: 144°
 * dich2 = Siid–3–siid: 120°
 * dich3 = Siid–6–idtid: 120°
 * dich4 = Idtid–10/3–idtid: 108°
 * dich5 = Gid–3–tid: 60°
 * dich6 = Idtid–10–tid: 36°
 * density =
 * euler = 1920
 * pieces =
 * loc =
 * conjugate = Medial hecatonicosintercepted trishecatonicosachoron
 * convex = No
 * orientable = Yes
 * nat = Wild}$

Vertex coordinates
The vertices are the same as those of the regiment colonel, the small sphenoverted hexacosidishecatonicosachoron.