Rectified ditrigonary dishecatonicosachoron
(Redirected from Ridtidohi)
| Rectified ditrigonary dishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Ridtidohi |
| Coxeter diagram |      (o3x5o3o5/3*b) |
| Elements | |
| Cells | 120 ditrigonary dodecadodecahedra, 120 icosidodecahedra, 120 great icosidodecahedra |
| Faces | 2400 triangles, 1440 pentagons, 1440 pentagrams |
| Edges | 7200 |
| Vertices | 1200 |
| Vertex figure | Propeller tripod prism, base edge lengths (√5–1)/2 and (1+√5)/2, side edge length 1 |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | 200 |
| Dichoral angles | Ditdid–5/2–gid: 144° |
| Ditdid–5–id: 72° | |
| Id–3–gid: 60° | |
| Central density | 39 |
| Related polytopes | |
| Army | Rahi |
| Regiment | Rissidtixhi |
| Conjugate | Rectified ditrigonary dishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –1080 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The rectified ditrigonary dishecatonicosachoron, or ridtidohi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecahedra, and 120 great icosidodecahedra. 2 ditrigonary dodecadodecahedra, 3 icosidodecahedra, and 3 great icosidodecahedra join at each propeller tripod prismatic vertex. As the name suggests, it can be obtained by rectifying the ditrigonary dishecatonicosachoron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
Related polychora[edit | edit source]
| Index | Name | OBSA | Company | Subcategory |
|---|---|---|---|---|
| 1147 | Rectified small ditrigonary hexacosihecatonicosachoron | Rissidtixhi | Rissidtixhi | Main nine |
| 1148 | Rectified ditrigonary dishecatonicosachoron | Ridtidohi | Ridtidohi | Main nine |
| 1149 | Rectified great ditrigonary hexacosihecatonicosachoron | Riggidtixhi | Riggidtixhi | Main nine |
| 1150 | Small ditrigonary dishecatonicosachoron | Sidditdy | Sidditdy | Main nine |
| 1151 | Retroditrigonary dishecatonicosachoron | Ridditdy | Ridditdy | Main nine |
| 1152 | Great ditrigonary dishecatonicosachoron | Gidditdy | Gidditdy | Main nine |
| 1153 | Ditrigonary hexacosidishecatonicosachoron | Dittixdy | Main nine | |
| 1154 | Ditrigonary trishecatonicosachoron | Dittathi | Main nine | |
| 1155 | Toroidal ditrigonary hexacosidishecatonicosachoron | Todtixady | Main nine | |
| 1156 | Small ditrigonary dishecatonicosihecatonicosachoron | Sidtid hihy | Sixteen trapezics | |
| 1157 | Ditrigonary hecatonicosidishecatonicosachoron | Dithidy | Sixteen trapezics |
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1148).
- Klitzing, Richard. "ridtidohi".