| Ditrigonary hecatonicositetrishecatonicosachoron |
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| Rank | 4 |
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| Type | Uniform |
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| Space | Spherical |
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| Notation |
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| Bowers style acronym | Dithiuthi |
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| Elements |
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| Cells | 120 gid, 120 id, 120 sidditdid, 120 giid, 120 ri (600 total) |
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| Faces | 4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons (12,600 total) |
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| Edges | 7200 |
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| Vertices | 1200 |
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| Measures (edge length 1) |
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| Circumradius |  |
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| Related polytopes |
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| Army | Rahi |
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| Regiment | Rissidtixhi |
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| Conjugate | Dittophi |
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| Abstract properties |
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| Euler characteristic | 6000 |
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| Topological properties |
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| Orientable | No |
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| Properties |
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| Symmetry | H4, order 14400 |
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| Convex | No |
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| Nature | Wild |
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| Discovered by | {{{discoverer}}} |
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The ditrigonary hecatonicositetrishecatonicosachoron, or dithiuthi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 great icosicosidodecahedra, and 120 rhombicosahedra. Three great icosidodecahedra, three icosidodecahedra, six small ditrigonal dodecicosidodecahedra, six great icosicosidodecahedra, and six rhombicosahedra join at each vertex.
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
