| Ditrigonary tetrishecatonicosihexacosichoron |
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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 | Dituthix |
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| Elements |
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| Cells | 120 gid, 120 id, 120 ided, 120 quitdid, 600 cho |
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| Faces | 2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams |
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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 | Ditrigonary tetrishecatonicosihexacosichoron |
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| Abstract properties |
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| Euler characteristic | 5640 |
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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 tetrishecatonicosihexacosichoron, or dituthix, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 icosidodecadodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Three great icosidodecahedra, three icosidodecahedra, six icosidodecadodecahedra, twelve quasitruncated dodecadodecahedra, and six cubohemioctahedra join at each vertex.
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
