Great penteractipenteractitriacontaditeron
Great penteractipenteractitriacontaditeron | |
---|---|
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Ginnont |
Coxeter diagram | o3o3o3x4/3x4*c () |
Elements | |
Tera | 32 pentachora, 10 tesseracts, 10 great tesseractitesseractihexadecachora |
Cells | 160 tetrahedra, 80 cubes, 40 great cubicuboctahedra |
Faces | 320 triangles, 240 squares, 80 octagrams |
Edges | 320+320 |
Vertices | 160 |
Vertex figure | Tetrahedral frustum, edge lengths 1 (small base), √2 (large base), and √2–√2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diteral angles | Gittith–tet–pen: |
Gittith–gocco–gittith: 90° | |
Gittith–cube–tes: 90° | |
Related polytopes | |
Army | Tan, edge length |
Regiment | Ginnont |
Conjugate | Small penteractipenteractitriacontaditeron |
Abstract & topological properties | |
Flag count | 30720 |
Orientable | Yes |
Properties | |
Symmetry | B5, order 3840 |
Convex | No |
Nature | Tame |
The great penteractipenteractitriacontaditeron, or ginnont, is a nonconvex uniform polyteron. It consists of 10 great tesseractitesseractihexadecachora, 10 tesseracts, and 32 pentachora. 4 great tesseractitesseractihexadecachora, 1 tesseract, and 1 pentachoron join at each vertex.
The great penteractipenteractitriacontaditeron contains the vertices of a great tesseractitesseractihexadecachoric prism, square-great cubicuboctahedral duoprism, and octagrammic-cubic duoprism.
Vertex coordinates[edit | edit source]
The vertices of a great penteractipenteractitriacontaditeron of edge length 1 are given by all permutations of:
Related polytopes[edit | edit source]
The great penteractipenteractitriacontaditeron is the colonel of a regiment that contains a total of 15 uniform members. This regiment also has many subsymmetric scaliform members.
External links[edit | edit source]
- Bowers, Jonathan. "Category 9: Podiumverts" (#707).
- Klitzing, Richard. "ginnont".