Acronym | ..., 03,1,1,1 |
Name | hyperbolic Gosset hexacomb 03,1,1,1 |
Circumradius | sqrt(-2) = 1.414214 i |
Confer |
|
Incidence matrix according to Dynkin symbol
o3x3o3o3o *b3o *b3o (N,M,K → ∞) . . . . . . . | 120NMK ♦ 32 | 16 48 16 16 | 24 8 8 32 24 24 8 | 16 12 12 4 8 16 16 12 | 4 8 8 6 4 4 8 | 2 2 4 2 --------------------+--------+---------+------------------------------+--------------------------------------------------+-----------------------------------------------------+-------------------------------------------+---------------- . x . . . . . | 2 | 1920NMK | 1 3 1 1 | 3 1 1 3 3 3 1 | 3 3 3 1 1 3 3 3 | 1 3 3 3 1 1 3 | 1 1 3 1 --------------------+--------+---------+------------------------------+--------------------------------------------------+-----------------------------------------------------+-------------------------------------------+---------------- o3x . . . . . | 3 | 3 | 640NMK * * * | 3 1 1 0 0 0 0 | 3 3 3 1 0 0 0 0 | 1 3 3 3 0 0 0 | 1 1 3 0 . x3o . . . . | 3 | 3 | * 1920NMK * * | 1 0 0 2 1 1 0 | 2 1 1 0 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 . x . . . *b3o . | 3 | 3 | * * 640NMK * | 0 1 0 0 3 0 1 | 0 3 0 1 0 3 0 3 | 0 3 0 3 1 0 3 | 1 0 3 1 . x . . . . *b3o | 3 | 3 | * * * 640NMK | 0 0 1 0 0 3 1 | 0 0 3 1 0 0 3 3 | 0 0 3 3 0 1 3 | 0 1 3 1 --------------------+--------+---------+------------------------------+--------------------------------------------------+-----------------------------------------------------+-------------------------------------------+---------------- o3x3o . . . . ♦ 6 | 12 | 4 4 0 0 | 480NMK * * * * * * | 2 1 1 0 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 o3x . . . *b3o . ♦ 6 | 12 | 4 0 4 0 | * 160NMK * * * * * | 0 3 0 1 0 0 0 0 | 0 3 0 3 0 0 0 | 1 0 3 0 o3x . . . . *b3o ♦ 6 | 12 | 4 0 0 4 | * * 160NMK * * * * | 0 0 3 1 0 0 0 0 | 0 0 3 3 0 0 0 | 0 1 3 0 . x3o3o . . . ♦ 4 | 6 | 0 4 0 0 | * * * 960NMK * * * | 1 0 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . x3o . . *b3o . ♦ 6 | 12 | 0 4 4 0 | * * * * 480NMK * * | 0 1 0 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . x3o . . . *b3o ♦ 6 | 12 | 0 4 0 4 | * * * * * 480NMK * | 0 0 1 0 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 . x . . . *b3o *b3o ♦ 6 | 12 | 0 0 4 4 | * * * * * * 160NMK | 0 0 0 1 0 0 0 3 | 0 0 0 3 0 0 3 | 0 0 3 1 --------------------+--------+---------+------------------------------+--------------------------------------------------+-----------------------------------------------------+-------------------------------------------+---------------- o3x3o3o . . . ♦ 10 | 30 | 10 20 0 0 | 5 0 0 5 0 0 0 | 192NMK * * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 o3x3o . . *b3o . ♦ 24 | 96 | 32 32 32 0 | 8 8 0 0 8 0 0 | * 60NMK * * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 o3x3o . . . *b3o ♦ 24 | 96 | 32 32 0 32 | 8 0 8 0 0 8 0 | * * 60NMK * * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 o3x . . . *b3o *b3o ♦ 24 | 96 | 32 0 32 32 | 0 8 8 0 0 0 8 | * * * 20NMK * * * * | 0 0 0 3 0 0 0 | 0 0 3 0 . x3o3o3o . . ♦ 5 | 10 | 0 10 0 0 | 0 0 0 5 0 0 0 | * * * * 192NMK * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x3o3o . *b3o . ♦ 10 | 30 | 0 20 10 0 | 0 0 0 5 5 0 0 | * * * * * 192NMK * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x3o3o . . *b3o ♦ 10 | 30 | 0 20 0 10 | 0 0 0 5 0 5 0 | * * * * * * 192NMK * | 0 0 1 0 0 1 1 | 0 1 1 1 . x3o . . *b3o *b3o ♦ 24 | 96 | 0 32 32 32 | 0 0 0 0 8 8 8 | * * * * * * * 60NMK | 0 0 0 1 0 0 2 | 0 0 2 1 --------------------+--------+---------+------------------------------+--------------------------------------------------+-----------------------------------------------------+-------------------------------------------+---------------- o3x3o3o3o . . ♦ 15 | 60 | 20 60 0 0 | 15 0 0 30 0 0 0 | 6 0 0 0 6 0 0 0 | 32NMK * * * * * * | 1 1 0 0 o3x3o3o . *b3o . ♦ 80 | 480 | 160 320 160 0 | 80 40 0 80 80 0 0 | 16 10 0 0 0 16 0 0 | * 12NMK * * * * * | 1 0 1 0 o3x3o3o . . *b3o ♦ 80 | 480 | 160 320 0 160 | 80 0 40 80 0 80 0 | 16 0 10 0 0 0 16 0 | * * 12NMK * * * * | 0 1 1 0 o3x3o . . *b3o *b3o ♦ 12M | 96M | 32M 32M 32M 32M | 8M 8M 8M 0 8M 8M 8M | 0 M M M 0 0 0 M | * * * 60NMK * * * | 0 0 2 0 . x3o3o3o *b3o . ♦ 15 | 60 | 0 60 20 0 | 0 0 0 30 15 0 0 | 0 0 0 0 6 6 0 0 | * * * * 32NMK * * | 1 0 0 1 . x3o3o3o . *b3o ♦ 15 | 60 | 0 60 0 20 | 0 0 0 30 0 15 0 | 0 0 0 0 6 0 6 0 | * * * * * 32NMK * | 0 1 0 1 . x3o3o . *b3o *b3o ♦ 80 | 480 | 0 320 160 160 | 0 0 0 80 80 80 40 | 0 0 0 0 0 16 16 10 | * * * * * * 12NMK | 0 0 1 1 --------------------+--------+---------+------------------------------+--------------------------------------------------+-----------------------------------------------------+-------------------------------------------+---------------- o3x3o3o3o *b3o . ♦ 240 | 1920 | 640 1920 640 0 | 480 160 0 960 480 0 0 | 192 60 0 0 192 192 0 0 | 32 12 0 0 32 0 0 | NMK * * * o3x3o3o3o . *b3o ♦ 240 | 1920 | 640 1920 0 640 | 480 0 160 960 0 480 0 | 192 0 60 0 192 0 192 0 | 32 0 12 0 0 32 0 | * NMK * * o3x3o3o . *b3o *b3o ♦ 40MK | 480MK | 160MK 320MK 160MK 160MK | 80MK 40MK 40MK 80MK 80MK 80MK 40MK | 16MK 10MK 10MK 5MK 0 16MK 16MK 10MK | 0 MK MK 10K 0 0 MK | * * 12N * . x3o3o3o *b3o *b3o ♦ 240 | 1920 | 0 1920 640 640 | 0 0 0 960 480 480 160 | 0 0 0 0 192 192 192 60 | 0 0 0 0 32 32 12 | * * * NMK
© 2004-2024 | top of page |