links
| Acronym | fedandoh |
| Name | facetodispenteractidishexadecateron |
| Circumradius | sqrt(13/8) = 1.274755 |
| Coordinates | (3, 1, 1, 1, 1)/sqrt(8) & all permutations, all even changes of sign |
| Colonel of regiment | siphin |
| Face vector | 80, 400, 640, 360, 52 |
|
External links |
|
Incidence matrix according to Dynkin symbol
o
3 \ 3/2
o---o
3 | | 3
x---x
3
o3o3x3x3o3/2*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 ---------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 ---------------+----+---------+-------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 ---------------+----+---------+-------------+----------------+------------ o3o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3x . o3/2*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3o3/2*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 ---------------+----+---------+-------------+----------------+------------ o3o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3o3x . o3/2*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3o . x3o3/2*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3x3x3o3/2*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3 \ 3
o---o
3 | | 3/2
x---x
3
o3o3x3x3/2o3*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 ---------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 ---------------+----+---------+-------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3/2o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 ---------------+----+---------+-------------+----------------+------------ o3o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3x . o3*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3/2o3*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3/2o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 ---------------+----+---------+-------------+----------------+------------ o3o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3o3x . o3*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3o . x3/2o3*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3x3x3/2o3*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3 \ 3
o---o
3/2 | | 3
x---x
3
o3o3/2x3x3o3*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 ---------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 ---------------+----+---------+-------------+----------------+------------ . o3/2x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 ---------------+----+---------+-------------+----------------+------------ o3o3/2x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3/2x . o3*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3/2x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3o3*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 ---------------+----+---------+-------------+----------------+------------ o3o3/2x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3o3/2x . o3*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3o . x3o3*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3/2x3x3o3*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3 \ 3/2
o---o
3/2 | | 3/2
x---x
3
o3o3/2x3x3/2o3/2*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 -------------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 -------------------+----+---------+-------------+----------------+------------ . o3/2x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3/2o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 -------------------+----+---------+-------------+----------------+------------ o3o3/2x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3/2x . o3/2*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3/2x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3/2o3/2*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3/2o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 -------------------+----+---------+-------------+----------------+------------ o3o3/2x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3o3/2x . o3/2*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3o . x3/2o3/2*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3/2x3x3/2o3/2*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3/2 \ 3/2
o---o
3 | | 3
x---x
3
o3/2o3x3x3o3/2*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 -----------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 -----------------+----+---------+-------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 -----------------+----+---------+-------------+----------------+------------ o3/2o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3x . o3/2*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3o3/2*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 -----------------+----+---------+-------------+----------------+------------ o3/2o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3/2o3x . o3/2*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3/2o . x3o3/2*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3x3x3o3/2*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3/2 \ 3
o---o
3 | | 3/2
x---x
3
o3/2o3x3x3/2o3*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 -----------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 -----------------+----+---------+-------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3/2o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 -----------------+----+---------+-------------+----------------+------------ o3/2o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3x . o3*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3/2o3*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3/2o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 -----------------+----+---------+-------------+----------------+------------ o3/2o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3/2o3x . o3*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3/2o . x3/2o3*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3x3x3/2o3*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3/2 \ 3
o---o
3/2 | | 3
x---x
3
o3/2o3/2x3x3o3*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 -----------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 -----------------+----+---------+-------------+----------------+------------ . o3/2x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 -----------------+----+---------+-------------+----------------+------------ o3/2o3/2x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3/2x . o3*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3/2x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3o3*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 -----------------+----+---------+-------------+----------------+------------ o3/2o3/2x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3/2o3/2x . o3*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3/2o . x3o3*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3/2x3x3o3*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
o
3/2 \ 3/2
o---o
3/2 | | 3/2
x---x
3
o3/2o3/2x3x3/2o3/2*b . . . . . | 80 | 6 4 | 12 12 6 | 4 4 12 4 6 | 4 1 1 4 ---------------------+----+---------+-------------+----------------+------------ . . x . . | 2 | 240 * | 4 2 0 | 2 2 4 0 1 | 2 1 0 2 . . . x . | 2 | * 160 | 0 3 3 | 0 0 3 3 3 | 1 0 1 3 ---------------------+----+---------+-------------+----------------+------------ . o3/2x . . | 3 | 3 0 | 320 * * | 1 1 1 0 0 | 1 1 0 1 . . x3x . | 6 | 3 3 | * 160 * | 0 0 2 0 1 | 1 0 0 2 . . . x3/2o | 3 | 0 3 | * * 160 | 0 0 0 2 1 | 0 0 1 2 ---------------------+----+---------+-------------+----------------+------------ o3/2o3/2x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 . o3/2x . o3/2*b ♦ 4 | 6 0 | 4 0 0 | * 80 * * * | 0 1 0 1 . o3/2x3x . ♦ 12 | 12 6 | 4 4 0 | * * 80 * * | 1 0 0 1 . o . x3/2o3/2*b ♦ 4 | 0 6 | 0 0 4 | * * * 80 * | 0 0 1 1 . . x3x3/2o ♦ 12 | 6 12 | 0 4 4 | * * * * 40 | 0 0 0 2 ---------------------+----+---------+-------------+----------------+------------ o3/2o3/2x3x . ♦ 20 | 30 10 | 20 10 0 | 5 0 5 0 0 | 16 * * * o3/2o3/2x . o3/2*b ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | * 10 * * o3/2o . x3/2o3/2*b ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * 16 * . o3/2x3x3/2o3/2*b ♦ 32 | 48 48 | 32 32 32 | 0 8 8 8 8 | * * * 10
© 2004-2025 | top of page |