Acronym | hatico |
Name | hexagon - truncated-icositetrachoron duoprism |
Circumradius | sqrt(8) = 2.828427 |
Face vector | 1152, 3456, 3936, 2112, 534, 54 |
Confer |
|
Incidence matrix according to Dynkin symbol
x6o x3x4o3o . . . . . . | 1152 | 2 1 3 | 1 2 6 3 3 | 1 3 6 6 3 1 | 3 3 6 2 1 | 3 1 2 ------------+------+---------------+----------------------+------------------------+------------------+-------- x . . . . . | 2 | 1152 * * | 1 1 3 0 0 | 1 3 3 3 0 0 | 3 3 3 1 0 | 3 1 1 . . x . . . | 2 | * 576 * | 0 2 0 3 0 | 1 0 6 0 3 0 | 3 0 6 0 1 | 3 0 2 . . . x . . | 2 | * * 1728 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ------------+------+---------------+----------------------+------------------------+------------------+-------- x6o . . . . | 6 | 6 0 0 | 192 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . x . . . | 4 | 2 2 0 | * 576 * * * | 1 0 3 0 0 0 | 3 0 3 0 0 | 3 0 1 x . . x . . | 4 | 2 0 2 | * * 1728 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x3x . . | 6 | 0 3 3 | * * * 576 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x4o . | 4 | 0 0 4 | * * * * 864 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ------------+------+---------------+----------------------+------------------------+------------------+-------- x6o x . . . ♦ 12 | 12 6 0 | 2 6 0 0 0 | 96 * * * * * | 3 0 0 0 0 | 3 0 0 x6o . x . . ♦ 12 | 12 0 6 | 2 0 6 0 0 | * 288 * * * * | 1 2 0 0 0 | 2 1 0 x . x3x . . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 576 * * * | 1 0 2 0 0 | 2 0 1 x . . x4o . ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * 864 * * | 0 1 1 1 0 | 1 1 1 . . x3x4o . ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * 144 * | 0 0 2 0 1 | 1 0 2 . . . x4o3o ♦ 8 | 0 0 12 | 0 0 0 0 6 | * * * * * 144 | 0 0 0 2 1 | 0 1 2 ------------+------+---------------+----------------------+------------------------+------------------+-------- x6o x3x . . ♦ 36 | 36 18 18 | 6 18 18 6 0 | 3 3 6 0 0 0 | 96 * * * * | 2 0 0 x6o . x4o . ♦ 24 | 24 0 24 | 4 0 24 0 6 | 0 4 0 6 0 0 | * 144 * * * | 1 1 0 x . x3x4o . ♦ 48 | 24 24 48 | 0 12 24 16 12 | 0 0 8 6 2 0 | * * 144 * * | 1 0 1 x . . x4o3o ♦ 16 | 8 0 24 | 0 0 12 0 12 | 0 0 0 6 0 2 | * * * 144 * | 0 1 1 . . x3x4o3o ♦ 192 | 0 96 288 | 0 0 0 96 144 | 0 0 0 0 24 24 | * * * * 6 | 0 0 2 ------------+------+---------------+----------------------+------------------------+------------------+-------- x6o x3x4o . ♦ 144 | 144 72 144 | 24 72 144 48 36 | 12 24 48 36 6 0 | 8 6 6 0 0 | 24 * * x6o . x4o3o ♦ 48 | 48 0 72 | 8 0 72 0 36 | 0 12 0 36 0 6 | 0 6 0 6 0 | * 24 * x . x3x4o3o ♦ 384 | 192 192 576 | 0 96 288 192 288 | 0 0 96 144 48 48 | 0 0 24 24 2 | * * 6
x3x x3x4o3o . . . . . . | 1152 | 1 1 1 3 | 1 1 3 1 3 3 3 | 1 3 3 3 3 3 3 1 | 3 3 3 1 3 1 1 | 3 1 1 1 ------------+------+------------------+-----------------------------+--------------------------------+----------------------+---------- x . . . . . | 2 | 576 * * * | 1 1 3 0 0 0 0 | 1 3 3 3 0 0 0 0 | 3 3 3 1 0 0 0 | 3 1 1 0 . x . . . . | 2 | * 576 * * | 1 0 0 1 3 0 0 | 1 3 0 0 3 3 0 0 | 3 3 0 0 3 1 0 | 3 1 0 1 . . x . . . | 2 | * * 576 * | 0 1 0 1 0 3 0 | 1 0 3 0 3 0 3 0 | 3 0 3 0 3 0 1 | 3 0 1 1 . . . x . . | 2 | * * * 1728 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ------------+------+------------------+-----------------------------+--------------------------------+----------------------+---------- x3x . . . . | 6 | 3 3 0 0 | 192 * * * * * * | 1 3 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 288 * * * * * | 1 0 3 0 0 0 0 0 | 3 0 3 0 0 0 0 | 3 0 1 0 x . . x . . | 4 | 2 0 0 2 | * * 864 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x x . . . | 4 | 0 2 2 0 | * * * 288 * * * | 1 0 0 0 3 0 0 0 | 3 0 0 0 3 0 0 | 3 0 0 1 . x . x . . | 4 | 0 2 0 2 | * * * * 864 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x3x . . | 6 | 0 0 3 3 | * * * * * 576 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x4o . | 4 | 0 0 0 4 | * * * * * * 864 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+------+------------------+-----------------------------+--------------------------------+----------------------+---------- x3x x . . . ♦ 12 | 6 6 6 0 | 2 3 0 3 0 0 0 | 96 * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0 x3x . x . . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 288 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 288 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x4o . ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 2 | * * * 432 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x3x . . ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 288 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x4o . ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 2 | * * * * * 432 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x4o . ♦ 24 | 0 0 12 24 | 0 0 0 0 0 8 6 | * * * * * * 144 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x4o3o ♦ 8 | 0 0 0 12 | 0 0 0 0 0 0 6 | * * * * * * * 144 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+------+------------------+-----------------------------+--------------------------------+----------------------+---------- x3x x3x . . ♦ 36 | 18 18 18 18 | 6 9 9 9 9 6 0 | 3 3 3 0 3 0 0 0 | 96 * * * * * * | 2 0 0 0 x3x . x4o . ♦ 24 | 12 12 0 24 | 4 0 12 0 12 0 6 | 0 4 0 3 0 3 0 0 | * 144 * * * * * | 1 1 0 0 x . x3x4o . ♦ 48 | 24 0 24 48 | 0 12 24 0 0 16 12 | 0 0 8 6 0 0 2 0 | * * 72 * * * * | 1 0 1 0 x . . x4o3o ♦ 16 | 8 0 0 24 | 0 0 12 0 0 0 12 | 0 0 0 6 0 0 0 2 | * * * 72 * * * | 0 1 1 0 . x x3x4o . ♦ 48 | 0 24 24 48 | 0 0 0 12 24 16 12 | 0 0 0 0 8 6 2 0 | * * * * 72 * * | 1 0 0 1 . x . x4o3o ♦ 16 | 0 8 0 24 | 0 0 0 0 12 0 12 | 0 0 0 0 0 6 0 2 | * * * * * 72 * | 0 1 0 1 . . x3x4o3o ♦ 192 | 0 0 96 288 | 0 0 0 0 0 96 144 | 0 0 0 0 0 0 24 24 | * * * * * * 6 | 0 0 1 1 ------------+------+------------------+-----------------------------+--------------------------------+----------------------+---------- x3x x3x4o . ♦ 144 | 72 72 72 144 | 24 36 72 36 72 48 36 | 12 24 24 18 24 18 6 0 | 8 6 3 0 3 0 0 | 24 * * * x3x . x4o3o ♦ 48 | 24 24 0 72 | 8 0 36 0 36 0 36 | 0 12 0 18 0 18 0 6 | 0 6 0 3 0 3 0 | * 24 * * x . x3x4o3o ♦ 384 | 192 0 192 576 | 0 96 288 0 0 192 288 | 0 0 96 144 0 0 48 48 | 0 0 24 24 0 0 2 | * * 3 * . x x3x4o3o ♦ 384 | 0 192 192 576 | 0 0 0 96 288 192 288 | 0 0 0 0 96 144 48 48 | 0 0 0 0 24 24 2 | * * * 3
x6o x3x3x4o ...
x3x x3x3x4o . . . . . . | 1152 | 1 1 1 1 2 | 1 1 1 2 1 1 2 1 2 2 1 | 1 1 2 1 2 2 1 1 2 2 1 2 1 1 | 1 2 2 1 2 1 1 2 1 1 1 | 2 1 1 1 1 ------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------ x . . . . . | 2 | 576 * * * * | 1 1 1 2 0 0 0 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 0 0 0 0 | 1 2 2 1 2 1 1 0 0 0 0 | 2 1 1 1 0 . x . . . . | 2 | * 576 * * * | 1 0 0 0 1 1 2 0 0 0 0 | 1 1 2 0 0 0 0 1 2 2 1 0 0 0 | 1 2 2 1 0 0 0 2 1 1 0 | 2 1 1 0 1 . . x . . . | 2 | * * 576 * * | 0 1 0 0 1 0 0 1 2 0 0 | 1 0 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 | * * * 576 * | 0 0 1 0 0 1 0 1 0 2 0 | 0 1 0 1 0 2 0 1 0 2 0 2 0 1 | 1 0 2 0 2 0 1 2 0 1 1 | 2 0 1 1 1 . . . . x . | 2 | * * * * 1152 | 0 0 0 1 0 0 1 0 1 1 1 | 0 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 0 | 192 * * * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0 x . x . . . | 4 | 2 0 2 0 0 | * 288 * * * * * * * * * | 1 0 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 0 | * * 288 * * * * * * * * | 0 1 0 1 0 2 0 0 0 0 0 0 0 0 | 1 0 2 0 2 0 1 0 0 0 0 | 2 0 1 1 0 x . . . x . | 4 | 2 0 0 0 2 | * * * 576 * * * * * * * | 0 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 . x x . . . | 4 | 0 2 2 0 0 | * * * * 288 * * * * * * | 1 0 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 0 | * * * * * 288 * * * * * | 0 1 0 0 0 0 0 1 0 2 0 0 0 0 | 1 0 2 0 0 0 0 2 0 1 0 | 2 0 1 0 1 . x . . x . | 4 | 0 2 0 0 2 | * * * * * * 576 * * * * | 0 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 . . x3x . . | 6 | 0 0 3 3 0 | * * * * * * * 192 * * * | 0 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 0 2 | * * * * * * * * 576 * * | 0 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 . . . x3x . | 6 | 0 0 0 3 3 | * * * * * * * * * 384 * | 0 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 . . . . x4o | 4 | 0 0 0 0 4 | * * * * * * * * * * 288 | 0 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 ------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------ x3x x . . . ♦ 12 | 6 6 6 0 0 | 2 3 0 0 3 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x3x . x . . ♦ 12 | 6 6 0 6 0 | 2 0 3 0 0 3 0 0 0 0 0 | * 96 * * * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 x3x . . x . ♦ 12 | 6 6 0 0 6 | 2 0 0 3 0 0 3 0 0 0 0 | * * 192 * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 0 | * * * 96 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 x . x . x . ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 0 | * * * * 288 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x3x . ♦ 12 | 6 0 0 6 6 | 0 0 3 3 0 0 0 0 0 2 0 | * * * * * 192 * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x4o ♦ 8 | 4 0 0 0 8 | 0 0 0 4 0 0 0 0 0 0 2 | * * * * * * 144 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x3x . . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 3 3 0 2 0 0 0 | * * * * * * * 96 * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . x x . x . ♦ 8 | 0 4 4 0 4 | 0 0 0 0 2 0 2 0 2 0 0 | * * * * * * * * 288 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x3x . ♦ 12 | 0 6 0 6 6 | 0 0 0 0 0 3 3 0 0 2 0 | * * * * * * * * * 192 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x4o ♦ 8 | 0 4 0 0 8 | 0 0 0 0 0 0 4 0 0 0 2 | * * * * * * * * * * 144 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x3x . ♦ 24 | 0 0 12 12 12 | 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * * * * * 96 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x4o ♦ 8 | 0 0 4 0 8 | 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * * * * * 144 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3x4o ♦ 24 | 0 0 0 12 24 | 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * * * * * 48 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------ x3x x3x . . ♦ 36 | 18 18 18 18 0 | 6 9 9 0 9 9 0 6 0 0 0 | 3 3 0 3 0 0 0 3 0 0 0 0 0 0 | 32 * * * * * * * * * * | 2 0 0 0 0 x3x x . x . ♦ 24 | 12 12 12 0 12 | 4 6 0 6 6 0 6 0 6 0 0 | 2 0 2 0 3 0 0 0 3 0 0 0 0 0 | * 96 * * * * * * * * * | 1 1 0 0 0 x3x . x3x . ♦ 36 | 18 18 0 18 18 | 6 0 9 9 0 9 9 0 0 6 0 | 0 3 3 0 0 3 0 0 0 3 0 0 0 0 | * * 64 * * * * * * * * | 1 0 1 0 0 x3x . . x4o ♦ 24 | 12 12 0 0 24 | 4 0 0 12 0 0 12 0 0 0 6 | 0 0 4 0 0 0 3 0 0 0 3 0 0 0 | * * * 48 * * * * * * * | 0 1 1 0 0 x . x3x3x . ♦ 48 | 24 0 24 24 24 | 0 12 12 12 0 0 0 8 12 8 0 | 0 0 0 4 6 4 0 0 0 0 0 2 0 0 | * * * * 48 * * * * * * | 1 0 0 1 0 x . x . x4o ♦ 16 | 8 0 8 0 16 | 0 4 0 8 0 0 0 0 8 0 4 | 0 0 0 0 4 0 2 0 0 0 0 0 2 0 | * * * * * 72 * * * * * | 0 1 0 1 0 x . . x3x4o ♦ 48 | 24 0 0 24 48 | 0 0 12 24 0 0 0 0 0 16 12 | 0 0 0 0 0 8 6 0 0 0 0 0 0 2 | * * * * * * 24 * * * * | 0 0 1 1 0 . x x3x3x . ♦ 48 | 0 24 24 24 24 | 0 0 0 0 12 12 12 8 12 8 0 | 0 0 0 0 0 0 0 4 6 4 0 2 0 0 | * * * * * * * 48 * * * | 1 0 0 0 1 . x x . x4o ♦ 16 | 0 8 8 0 16 | 0 0 0 0 4 0 8 0 8 0 4 | 0 0 0 0 0 0 0 0 4 0 2 0 2 0 | * * * * * * * * 72 * * | 0 1 0 0 1 . x . x3x4o ♦ 48 | 0 24 0 24 48 | 0 0 0 0 0 12 24 0 0 16 12 | 0 0 0 0 0 0 0 0 0 8 6 0 0 2 | * * * * * * * * * 24 * | 0 0 1 0 1 . . x3x3x4o ♦ 192 | 0 0 96 96 192 | 0 0 0 0 0 0 0 32 96 64 48 | 0 0 0 0 0 0 0 0 0 0 0 16 24 8 | * * * * * * * * * * 6 | 0 0 0 1 1 ------------+------+----------------------+---------------------------------------------+---------------------------------------------------+---------------------------------+------------ x3x x3x3x . ♦ 144 | 72 72 72 72 72 | 24 36 36 36 36 36 36 24 36 24 0 | 12 12 12 12 18 12 0 12 18 12 0 6 0 0 | 4 6 4 0 3 0 0 3 0 0 0 | 16 * * * * x3x x . x4o ♦ 48 | 24 24 24 0 48 | 8 12 0 24 12 0 24 0 24 0 12 | 4 0 8 0 12 0 6 0 12 0 6 0 6 0 | 0 4 0 2 0 3 0 0 3 0 0 | * 24 * * * x3x . x3x4o ♦ 144 | 72 72 0 72 144 | 24 0 36 72 0 36 72 0 0 48 36 | 0 12 24 0 0 24 18 0 0 24 18 0 0 6 | 0 0 8 6 0 0 3 0 0 3 0 | * * 8 * * x . x3x3x4o ♦ 384 | 192 0 192 192 384 | 0 96 96 192 0 0 0 64 192 128 96 | 0 0 0 32 96 64 48 0 0 0 0 32 48 16 | 0 0 0 0 16 24 8 0 0 0 2 | * * * 3 * . x x3x3x4o ♦ 384 | 0 192 192 192 384 | 0 0 0 0 96 96 192 64 192 128 96 | 0 0 0 0 0 0 0 32 96 64 48 32 48 16 | 0 0 0 0 0 0 0 16 24 8 2 | * * * * 3
x6o x3x3x *d3x ...
x3x x3x3x *d3x . . . . . . | 1152 | 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 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 1 1 ---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+------------- x . . . . . | 2 | 576 * * * * * | 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0 . x . . . . | 2 | * 576 * * * * | 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 | 1 1 1 1 0 1 . . x . . . | 2 | * * 576 * * * | 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 | 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1 . . . x . . | 2 | * * * 576 * * | 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 | 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1 . . . . x . | 2 | * * * * 576 * | 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 | 1 0 1 1 1 1 . . . . . x | 2 | * * * * * 576 | 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1 ---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+------------- x3x . . . . | 6 | 3 3 0 0 0 0 | 192 * * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 x . x . . . | 4 | 2 0 2 0 0 0 | * 288 * * * * * * * * * * * * * | 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0 x . . x . . | 4 | 2 0 0 2 0 0 | * * 288 * * * * * * * * * * * * | 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0 x . . . x . | 4 | 2 0 0 0 2 0 | * * * 288 * * * * * * * * * * * | 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0 x . . . . x | 4 | 2 0 0 0 0 2 | * * * * 288 * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0 . x x . . . | 4 | 0 2 2 0 0 0 | * * * * * 288 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 . x . x . . | 4 | 0 2 0 2 0 0 | * * * * * * 288 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1 . x . . x . | 4 | 0 2 0 0 2 0 | * * * * * * * 288 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 . x . . . x | 4 | 0 2 0 0 0 2 | * * * * * * * * 288 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 | 0 1 1 1 0 1 . . x3x . . | 6 | 0 0 3 3 0 0 | * * * * * * * * * 192 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 . . x . x . | 4 | 0 0 2 0 2 0 | * * * * * * * * * * 288 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1 . . x . . x | 4 | 0 0 2 0 0 2 | * * * * * * * * * * * 288 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 . . . x3x . | 6 | 0 0 0 3 3 0 | * * * * * * * * * * * * 192 * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 . . . x . *d3x | 6 | 0 0 0 3 0 3 | * * * * * * * * * * * * * 192 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1 . . . . x x | 4 | 0 0 0 0 2 2 | * * * * * * * * * * * * * * 288 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ---------------+------+-------------------------+-------------------------------------------------------------+--------------------------------------------------------------------+---------------------------------------------+------------- x3x x . . . ♦ 12 | 6 6 6 0 0 0 | 2 3 0 0 0 3 0 0 0 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x3x . x . . ♦ 12 | 6 6 0 6 0 0 | 2 0 3 0 0 0 3 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x3x . . x . ♦ 12 | 6 6 0 0 6 0 | 2 0 0 3 0 0 0 3 0 0 0 0 0 0 0 | * * 96 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 x3x . . . x ♦ 12 | 6 6 0 0 0 6 | 2 0 0 0 3 0 0 0 3 0 0 0 0 0 0 | * * * 96 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 0 0 | 0 3 3 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * 96 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 x . x . x . ♦ 8 | 4 0 4 0 4 0 | 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 | * * * * * 144 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 x . x . . x ♦ 8 | 4 0 4 0 0 4 | 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 | * * * * * * 144 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0 x . . x3x . ♦ 12 | 6 0 0 6 6 0 | 0 0 3 3 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 96 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x . . x . *d3x ♦ 12 | 6 0 0 6 0 6 | 0 0 3 0 3 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 96 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0 x . . . x x ♦ 8 | 4 0 0 0 4 4 | 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 144 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . x x3x . . ♦ 12 | 0 6 6 6 0 0 | 0 0 0 0 0 3 3 0 0 2 0 0 0 0 0 | * * * * * * * * * * 96 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x x . x . ♦ 8 | 0 4 4 0 4 0 | 0 0 0 0 0 2 0 2 0 0 2 0 0 0 0 | * * * * * * * * * * * 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