Acronym | cagral (old: gacral) |
Name |
celligreatorhombated heptapeton, stericantitruncated heptapeton |
Circumradius | sqrt(48/7) = 2.618615 |
Face vector | 1260, 5040, 7140, 4410, 1155, 105 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
x3x3x3o3x3o . . . . . . | 1260 | 1 1 2 4 | 1 2 4 2 4 1 4 2 2 | 2 4 1 4 2 2 1 4 2 2 2 2 1 | 1 4 2 2 2 2 1 2 2 1 1 | 2 2 1 1 1 ------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+------------- x . . . . . | 2 | 630 * * * | 1 2 4 0 0 0 0 0 0 | 2 4 1 4 2 2 0 0 0 0 0 0 0 | 1 4 2 2 2 2 1 0 0 0 0 | 2 2 1 1 0 . x . . . . | 2 | * 630 * * | 1 0 0 2 4 0 0 0 0 | 2 4 0 0 0 0 1 4 2 2 0 0 0 | 1 4 2 2 0 0 0 2 2 1 0 | 2 2 1 0 1 . . x . . . | 2 | * * 1260 * | 0 1 0 1 0 1 2 0 0 | 1 0 1 2 0 0 1 2 0 0 2 1 0 | 1 2 0 0 2 1 0 2 1 0 1 | 2 1 0 1 1 . . . . x . | 2 | * * * 2520 | 0 0 1 0 1 0 1 1 1 | 0 1 0 1 1 1 0 1 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+------------- x3x . . . . | 6 | 3 3 0 0 | 210 * * * * * * * * | 2 4 0 0 0 0 0 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 0 0 0 | 2 2 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 630 * * * * * * * | 1 0 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 2 1 0 0 0 0 0 | 2 1 0 1 0 x . . . x . | 4 | 2 0 0 2 | * * 1260 * * * * * * | 0 1 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x3x . . . | 6 | 0 3 3 0 | * * * 420 * * * * * | 1 0 0 0 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 0 0 2 1 0 0 | 2 1 0 0 1 . x . . x . | 4 | 0 2 0 2 | * * * * 1260 * * * * | 0 1 0 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x3o . . | 3 | 0 0 3 0 | * * * * * 420 * * * | 0 0 1 0 0 0 1 0 0 0 2 0 0 | 1 0 0 0 2 0 0 2 0 0 1 | 2 0 0 1 1 . . x . x . | 4 | 0 0 2 2 | * * * * * * 1260 * * | 0 0 0 1 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . o3x . | 3 | 0 0 0 3 | * * * * * * * 840 * | 0 0 0 0 1 0 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x3o | 3 | 0 0 0 3 | * * * * * * * * 840 | 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+------------- x3x3x . . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 0 | 105 * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x3x . . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 0 | * 420 * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x3o . . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 0 | * * 210 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 x . x . x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 0 | * * * 630 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . o3x . ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 0 | * * * * 420 * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 0 2 | * * * * * 420 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x3o . . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 0 | * * * * * * 105 * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . x3x . x . ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 0 | * * * * * * * 420 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . o3x . ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 0 | * * * * * * * * 420 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 0 2 | * * * * * * * * * 420 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o3x . ♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 6 4 0 | * * * * * * * * * * 210 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x3o ♦ 6 | 0 0 3 6 | 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * 420 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x3o ♦ 6 | 0 0 0 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 210 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+------------- x3x3x3o . . ♦ 60 | 30 30 60 0 | 10 30 0 20 0 20 0 0 0 | 5 0 10 0 0 0 5 0 0 0 0 0 0 | 21 * * * * * * * * * * | 2 0 0 0 0 x3x3x . x . ♦ 48 | 24 24 24 24 | 8 12 12 8 12 0 12 0 0 | 2 4 0 6 0 0 0 4 0 0 0 0 0 | * 105 * * * * * * * * * | 1 1 0 0 0 x3x . o3x . ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 6 0 | 0 3 0 0 3 0 0 0 3 0 0 0 0 | * * 140 * * * * * * * * | 1 0 1 0 0 x3x . . x3o ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 0 6 | 0 3 0 0 0 3 0 0 0 3 0 0 0 | * * * 140 * * * * * * * | 0 1 1 0 0 x . x3o3x . ♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 12 8 0 | 0 0 4 6 4 0 0 0 0 0 2 0 0 | * * * * 105 * * * * * * | 1 0 0 1 0 x . x . x3o ♦ 12 | 6 0 6 12 | 0 3 6 0 0 0 6 0 4 | 0 0 0 3 0 2 0 0 0 0 0 2 0 | * * * * * 210 * * * * * | 0 1 0 1 0 x . . o3x3o ♦ 12 | 6 0 0 24 | 0 0 12 0 0 0 0 8 8 | 0 0 0 0 4 4 0 0 0 0 0 0 2 | * * * * * * 105 * * * * | 0 0 1 1 0 . x3x3o3x . ♦ 60 | 0 30 60 60 | 0 0 0 20 30 20 30 20 0 | 0 0 0 0 0 0 5 10 10 0 5 0 0 | * * * * * * * 42 * * * | 1 0 0 0 1 . x3x . x3o ♦ 18 | 0 9 9 18 | 0 0 0 3 9 0 9 0 6 | 0 0 0 0 0 0 0 3 0 3 0 3 0 | * * * * * * * * 140 * * | 0 1 0 0 1 . x . o3x3o ♦ 12 | 0 6 0 24 | 0 0 0 0 12 0 0 8 8 | 0 0 0 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * * 105 * | 0 0 1 0 1 . . x3o3x3o ♦ 30 | 0 0 30 60 | 0 0 0 0 0 10 30 20 20 | 0 0 0 0 0 0 0 0 0 0 5 10 5 | * * * * * * * * * * 42 | 0 0 0 1 1 ------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+------------- x3x3x3o3x . ♦ 360 | 180 180 360 360 | 60 180 180 120 180 120 180 120 0 | 30 60 60 90 60 0 30 60 60 0 30 0 0 | 6 15 20 0 15 0 0 6 0 0 0 | 7 * * * * x3x3x . x3o ♦ 72 | 36 36 36 72 | 12 18 36 12 36 0 36 0 24 | 3 12 0 18 0 12 0 12 0 12 0 12 0 | 0 3 0 4 0 6 0 0 4 0 0 | * 35 * * * x3x . o3x3o ♦ 36 | 18 18 0 72 | 6 0 36 0 36 0 0 24 24 | 0 12 0 0 12 12 0 0 12 12 0 0 6 | 0 0 4 4 0 0 3 0 0 3 0 | * * 35 * * x . x3o3x3o ♦ 60 | 30 0 60 120 | 0 30 60 0 0 20 60 40 40 | 0 0 10 30 20 20 0 0 0 0 10 20 10 | 0 0 0 0 5 10 5 0 0 0 2 | * * * 21 * . x3x3o3x3o ♦ 180 | 0 90 180 360 | 0 0 0 60 180 60 180 120 120 | 0 0 0 0 0 0 15 60 60 60 30 60 30 | 0 0 0 0 0 0 0 6 20 15 6 | * * * * 7
© 2004-2024 | top of page |