Great hexacosihecatonicosidishecatonicosachoron

{{Infobox polytope The great hexacosihecatonicosidishecatonicosachoron, or gixhidy, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 regular dodecahedra, 120 quasitruncated great stellated dodecahedra, and 120 quasitruncated small stellated dodecahedra. 1 tetrahedron, 1 dodecahedron, 3 quasitruncated great stellated dodecahedra, and 3 quasitruncated small stellated dodecahedra join at each vertex.
 * img=Gixhidy.png
 * type=Uniform
 * dim = 4
 * obsa = Gixhidy
 * cells = 600 tetrahedra, 120 dodecahedra, 120 quasitruncated great stellated dodecahedra, 120 quasitruncated small stellated dodecahedra
 * faces = 2400 triangles, 1440 pentagons, 1440 decagrams
 * edges = 3600+3600
 * vertices = 2400
 * verf = Triangular antipodium, edge lengths 1 (small base), (1+$\sqrt{5}$)/2 (large base), and $\sqrt{(5–√5)/2}$ (sides)
 * coxeter = x3o3o5x5/3*a ({{CDD|label5-3|branch_11|3-5|branch}})
 * army=Semi-uniform Sidpixhi
 * reg=Gixhidy
 * symmetry = H{{sub|4}}, order 14400
 * circum = $$\sqrt{\frac{11-3\sqrt5}{2}} ≈ 1.46489$$
 * hypervolume = $$5\frac{544\sqrt5-905}{4} ≈ 389.27622$$
 * euler=–480
 * dich= Doe–5–quit sissid: 144°
 * dich2= Quit sissid–10/3–quit gissid: 108°
 * dich3= Tet–3–quit gissid: $$\arccos\left(-\frac{\sqrt{7-3\sqrt5]}{4}\right) ≈ 97.76124°$$
 * pieces = 8760
 * loc = 43
 * conjugate=Small hexacosihecatonicosidishecatonicosachoron
 * conv = No
 * orientable=Yes
 * nat=Tame}}

Related polychora
The great hexacosihecatonicosidishecatonicosachoron is the colonel of a regiment of 7 members. Its other members include the great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron, great hexacosifaceted trishecatonicosachoron, great hecatonicosihecatonicosihexacosichoron, hecatonicosidishecatonicosachoron, great spinohexacosidishecatonicosachoron, and great spinohecatonicosidishecatonicosachoron.