Rectified faceted hexacosichoron
(Redirected from Rofix)
| Rectified faceted hexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Rofix |
| Coxeter diagram | o5/2o5x3o (      ) |
| Elements | |
| Cells | 120 great dodecahedra, 120 icosidodecahedra |
| Faces | 1200 triangles, 1440 pentagons |
| Edges | 3600 |
| Vertices | 720 |
| Vertex figure | Semi-uniform pentagrammic prism, edge lengths (1+√5)/2 (base) and 1 (side) |
| Edge figure | gad.id.id |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | |
| Dichoral angles | Gad–5–id: 144° |
| Id–3–id: 120° | |
| Central density | 4 |
| Number of external pieces | 2520 |
| Level of complexity | 11 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rox |
| Conjugate | Rectified great faceted hexacosichoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 43200 |
| Euler characteristic | –480 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The rectified faceted hexacosichoron, or rofix, is a nonconvex uniform polychoron that consists of 120 great dodecahedra and 120 icosidodecahedra. Two great dodecahedra and five icosidodecahedra join at each pentagrammic prismatic vertex. As the name suggests, it can be obtained by rectifying the faceted hexacosichoron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.
Related polychora[edit | edit source]
| Name | OBSA | CD diagram | Picture |
|---|---|---|---|
| Small stellated hecatonicosachoron | sishi | x5/2o5o3o ( )
|
 |
| (degenerate, quadruple cover of hi) | x5/2x5o3o ()
|
||
| Rectified small stellated hecatonicosachoron | rasishi | o5/2x5o3o ()
|
 |
| Small hecatonicosihecatonicosachoron | shihi | o5/2x5x3o ()
|
 |
| Rectified faceted hexacosichoron | rofix | o5/2o5x3o ()
|
|
| Truncated faceted hexacosichoron | tiffix | o5/2o5x3x ()
|
 |
| Faceted hexacosichoron | fix | o5/2o5o3x ()
|
 |
| Small rhombated small stellated hecatonicosachoron | sirsashi | x5/2o5x3o ()
|
|
| (degenerate, sirdhi + 720(10/2)) | x5/2x5x3o ()
|
||
| Small rhombated faceted hexacosichoron | sirfix | o5/2x5o3x ()
|
 |
| Great rhombated faceted hexacosichoron | girfix | o5/2x5x3x ()
|
|
| Prismatodishecatonicosachoron | padohi | x5/2o5o3x ()
|
|
| (degenerate, six fipady + 720 double covers of pip) | x5/2x5o3x ()
|
||
| Prismatorhombated stellated hecatonicosachoron | pirshi | x5/2o5x3x ()
|
|
| (degenerate, sripady + 720 double covers of pip) | x5/2x5x3x ()
|
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#74).
- Klitzing, Richard. "rofix".