| Acronym | squarox |
| Name | square - rectified-hexacosachoron duoprism |
| Circumradius | sqrt[(11+4 sqrt(5))/2] = 3.157869 |
| Face vector | 2880, 17280, 29520, 20880, 6484, 724 |
| Confer |
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Incidence matrix according to Dynkin symbol
x4o o3x3o5o . . . . . . | 2880 | 2 10 | 1 20 5 10 | 10 10 20 5 2 | 5 10 10 4 1 | 5 2 2 ------------+------+------------+---------------------+-------------------------+----------------------+---------- x . . . . . | 2 | 2880 * | 1 10 0 0 | 10 5 10 0 0 | 5 10 5 2 0 | 5 2 1 . . . x . . | 2 | * 14400 | 0 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ------------+------+------------+---------------------+-------------------------+----------------------+---------- x4o . . . . | 4 | 4 0 | 720 * * * ♦ 10 0 0 0 0 | 5 10 0 0 0 | 5 2 0 x . . x . . | 4 | 2 2 | * 14400 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . o3x . . | 3 | 0 3 | * * 4800 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o . | 3 | 0 3 | * * * 9600 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ------------+------+------------+---------------------+-------------------------+----------------------+---------- x4o . x . . ♦ 8 | 8 4 | 2 4 0 0 | 3600 * * * * | 1 2 0 0 0 | 2 1 0 x . o3x . . ♦ 6 | 3 6 | 0 3 2 0 | * 4800 * * * | 1 0 2 0 0 | 2 0 1 x . . x3o . ♦ 6 | 3 6 | 0 3 0 2 | * * 9600 * * | 0 1 1 1 0 | 1 1 1 . . o3x3o . ♦ 6 | 0 12 | 0 0 4 4 | * * * 2400 * | 0 0 2 0 1 | 1 0 2 . . . x3o5o ♦ 12 | 0 30 | 0 0 0 20 | * * * * 480 | 0 0 0 2 1 | 0 1 2 ------------+------+------------+---------------------+-------------------------+----------------------+---------- x4o o3x . . ♦ 12 | 12 12 | 3 12 4 0 | 3 4 0 0 0 | 1200 * * * * | 2 0 0 x4o . x3o . ♦ 12 | 12 12 | 3 12 0 4 | 3 0 4 0 0 | * 2400 * * * | 1 1 0 x . o3x3o . ♦ 12 | 6 24 | 0 12 8 8 | 0 4 4 2 0 | * * 2400 * * | 1 0 1 x . . x3o5o ♦ 24 | 12 60 | 0 30 0 40 | 0 0 20 0 2 | * * * 480 * | 0 1 1 . . o3x3o5o ♦ 720 | 0 3600 | 0 0 1200 2400 | 0 0 0 600 120 | * * * * 4 | 0 0 2 ------------+------+------------+---------------------+-------------------------+----------------------+---------- x4o o3x3o . ♦ 24 | 24 48 | 6 48 16 16 | 12 16 16 4 0 | 4 4 4 0 0 | 600 * * x4o . x3o5o ♦ 48 | 48 120 | 12 120 0 80 | 30 0 80 0 4 | 0 20 0 4 0 | * 120 * x . o3x3o5o ♦ 1440 | 720 7200 | 0 3600 2400 4800 | 0 1200 2400 1200 240 | 0 0 600 120 2 | * * 4
x x o3x3o5o . . . . . . | 2880 | 1 1 10 | 1 10 10 5 10 | 10 5 10 5 10 5 2 | 5 10 5 2 5 2 1 | 5 2 1 1 ------------+------+-----------------+-------------------------+-----------------------------------+-------------------------------+------------ x . . . . . | 2 | 1440 * * | 1 10 0 0 0 | 10 5 10 0 0 0 0 | 5 10 5 2 0 0 0 | 5 2 1 0 . x . . . . | 2 | * 1440 * | 1 0 10 0 0 | 10 0 0 5 10 0 0 | 5 10 0 0 5 2 0 | 5 2 0 1 . . . x . . | 2 | * * 14400 | 0 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ------------+------+-----------------+-------------------------+-----------------------------------+-------------------------------+------------ x x . . . . | 4 | 2 2 0 | 720 * * * * ♦ 10 0 0 0 0 0 0 | 5 10 0 0 0 0 0 | 5 2 0 0 x . . x . . | 4 | 2 0 2 | * 7200 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . x . . | 4 | 0 2 2 | * * 7200 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . o3x . . | 3 | 0 0 3 | * * * 4800 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x3o . | 3 | 0 0 3 | * * * * 9600 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+------+-----------------+-------------------------+-----------------------------------+-------------------------------+------------ x x . x . . ♦ 8 | 4 4 4 | 2 2 2 0 0 | 3600 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . o3x . . ♦ 6 | 3 0 6 | 0 3 0 2 0 | * 2400 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 4800 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x o3x . . ♦ 6 | 0 3 6 | 0 0 3 2 0 | * * * 2400 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 3 0 2 | * * * * 4800 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . o3x3o . ♦ 6 | 0 0 12 | 0 0 0 4 4 | * * * * * 2400 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o5o ♦ 12 | 0 0 30 | 0 0 0 0 20 | * * * * * * 480 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+------+-----------------+-------------------------+-----------------------------------+-------------------------------+------------ x x o3x . . ♦ 12 | 6 6 12 | 3 6 6 4 0 | 3 2 0 2 0 0 0 | 1200 * * * * * * | 2 0 0 0 x x . x3o . ♦ 12 | 6 6 12 | 3 6 6 0 4 | 3 0 2 0 2 0 0 | * 2400 * * * * * | 1 1 0 0 x . o3x3o . ♦ 12 | 6 0 24 | 0 12 0 8 8 | 0 4 4 0 0 2 0 | * * 1200 * * * * | 1 0 1 0 x . . x3o5o ♦ 24 | 12 0 60 | 0 30 0 0 40 | 0 0 20 0 0 0 2 | * * * 240 * * * | 0 1 1 0 . x o3x3o . ♦ 12 | 0 6 24 | 0 0 12 8 8 | 0 0 0 4 4 2 0 | * * * * 1200 * * | 1 0 0 1 . x . x3o5o ♦ 24 | 0 12 60 | 0 0 30 0 40 | 0 0 0 0 20 0 2 | * * * * * 240 * | 0 1 0 1 . . o3x3o5o ♦ 720 | 0 0 3600 | 0 0 0 1200 2400 | 0 0 0 0 0 600 120 | * * * * * * 4 | 0 0 1 1 ------------+------+-----------------+-------------------------+-----------------------------------+-------------------------------+------------ x x o3x3o . ♦ 24 | 12 12 48 | 6 24 24 16 16 | 12 8 8 8 8 4 0 | 4 4 2 0 2 0 0 | 600 * * * x x . x3o5o ♦ 48 | 24 24 120 | 12 60 60 0 80 | 30 0 40 0 40 0 4 | 0 20 0 2 0 2 0 | * 120 * * x . o3x3o5o ♦ 1440 | 720 0 7200 | 0 3600 0 2400 4800 | 0 1200 2400 0 0 1200 240 | 0 0 600 120 0 0 2 | * * 2 * . x o3x3o5o ♦ 1440 | 0 720 7200 | 0 0 3600 2400 4800 | 0 0 0 1200 2400 1200 240 | 0 0 0 0 600 120 2 | * * * 2
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