- more general:
- n,girco-dip
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | ogirco |
| Name | octagon - great-rhombicuboctahedron duoprism |
| Circumradius | sqrt[17+8 sqrt(2)]/2 = 2.660531 |
| Face vector | 384, 960, 832, 288, 34 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
x8o x3x4x . . . . . | 384 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+-----+-----------------+-------------------------+---------------------+--------- x . . . . | 2 | 384 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 192 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 192 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 192 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+-----------------+-------------------------+---------------------+--------- x8o . . . | 8 | 8 0 0 0 | 48 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 192 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 192 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 192 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 64 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 96 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x4x | 8 | 0 0 4 4 | * * * * * * 48 | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+-----------------+-------------------------+---------------------+--------- x8o x . . ♦ 16 | 16 8 0 0 | 2 8 0 0 0 0 0 | 24 * * * * * * | 1 1 0 0 x8o . x . ♦ 16 | 16 0 8 0 | 2 0 8 0 0 0 0 | * 24 * * * * * | 1 0 1 0 x8o . . x ♦ 16 | 16 0 0 8 | 2 0 0 8 0 0 0 | * * 24 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 64 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 96 * * | 0 1 0 1 x . . x4x ♦ 16 | 8 0 8 8 | 0 0 4 4 0 0 2 | * * * * * 48 * | 0 0 1 1 . . x3x4x ♦ 48 | 0 24 24 24 | 0 0 0 0 8 12 6 | * * * * * * 8 | 0 0 0 2 ----------+-----+-----------------+-------------------------+---------------------+--------- x8o x3x . ♦ 48 | 48 24 24 0 | 6 24 24 0 8 0 0 | 3 3 0 8 0 0 0 | 8 * * * x8o x . x ♦ 32 | 32 16 0 16 | 4 16 0 16 0 8 0 | 2 0 2 0 8 0 0 | * 12 * * x8o . x4x ♦ 64 | 64 0 32 32 | 8 0 32 32 0 0 8 | 0 4 4 0 0 8 0 | * * 6 * x . x3x4x ♦ 96 | 48 48 48 48 | 0 24 24 24 16 24 12 | 0 0 0 8 12 6 2 | * * * 8
x4x x3x4x . . . . . | 384 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------+-----+---------------------+-------------------------------+------------------------------+----------- x . . . . | 2 | 192 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 192 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 192 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 192 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 192 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-----+---------------------+-------------------------------+------------------------------+----------- x4x . . . | 8 | 4 4 0 0 0 | 48 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 96 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 96 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 96 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 0 | * * * * 96 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 96 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 96 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 64 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 96 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x4x | 8 | 0 0 0 4 4 | * * * * * * * * * 48 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+---------------------+-------------------------------+------------------------------+----------- x4x x . . ♦ 16 | 8 8 8 0 0 | 2 4 0 0 4 0 0 0 0 0 | 24 * * * * * * * * * | 1 1 0 0 0 x4x . x . ♦ 16 | 8 8 0 8 0 | 2 0 4 0 0 4 0 0 0 0 | * 24 * * * * * * * * | 1 0 1 0 0 x4x . . x ♦ 16 | 8 8 0 0 8 | 2 0 0 4 0 0 4 0 0 0 | * * 24 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 32 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 48 * * * * * | 0 1 0 1 0 x . . x4x ♦ 16 | 8 0 0 8 8 | 0 0 4 4 0 0 0 0 0 2 | * * * * * 24 * * * * | 0 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 3 3 0 2 0 0 | * * * * * * 32 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 0 4 | 0 0 0 0 2 0 2 0 2 0 | * * * * * * * 48 * * | 0 1 0 0 1 . x . x4x ♦ 16 | 0 8 0 8 8 | 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * 24 * | 0 0 1 0 1 . . x3x4x ♦ 48 | 0 0 24 24 24 | 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * 8 | 0 0 0 1 1 ----------+-----+---------------------+-------------------------------+------------------------------+----------- x4x x3x . ♦ 48 | 24 24 24 24 0 | 6 12 12 0 12 12 0 8 0 0 | 3 3 0 4 0 0 4 0 0 0 | 8 * * * * x4x x . x ♦ 32 | 16 16 16 0 16 | 4 8 0 8 8 0 8 0 8 0 | 2 0 2 0 4 0 0 4 0 0 | * 12 * * * x4x . x4x ♦ 64 | 32 32 0 32 32 | 8 0 16 16 0 16 16 0 0 8 | 0 4 4 0 0 4 0 0 4 0 | * * 6 * * x . x3x4x ♦ 96 | 48 0 48 48 48 | 0 24 24 24 0 0 0 16 24 12 | 0 0 0 8 12 6 0 0 0 2 | * * * 4 * . x x3x4x ♦ 96 | 0 48 48 48 48 | 0 0 0 0 24 24 24 16 24 12 | 0 0 0 0 0 0 8 12 6 2 | * * * * 4
© 2004-2024 | top of page |