| Acronym | squarahi |
| Name | square - rectified-hecatonicosachoron duoprism |
| Circumradius | sqrt[(22+9 sqrt(5))/2] = 4.589369 |
| Face vector | 4800, 19200, 28080, 18960, 6004, 724 |
| Confer |
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Incidence matrix according to Dynkin symbol
x4o o3o3x5o . . . . . . | 4800 | 2 6 | 1 12 6 3 | 6 12 6 2 3 | 6 3 4 6 1 | 2 3 2 ------------+------+------------+----------------------+-------------------------+---------------------+---------- x . . . . . | 2 | 4800 * | 1 6 0 0 | 6 6 3 0 0 | 6 3 2 3 0 | 2 3 1 . . . . x . | 2 | * 14400 | 0 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ------------+------+------------+----------------------+-------------------------+---------------------+---------- x4o . . . . | 4 | 4 0 | 1200 * * * ♦ 6 0 0 0 0 | 6 3 0 0 0 | 2 3 0 x . . . x . | 4 | 2 2 | * 14400 * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . . o3x . | 3 | 0 3 | * * 9600 * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x5o | 5 | 0 5 | * * * 2880 | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ------------+------+------------+----------------------+-------------------------+---------------------+---------- x4o . . x . ♦ 8 | 8 4 | 2 4 0 0 | 3600 * * * * | 2 1 0 0 0 | 1 2 0 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * 9600 * * * | 1 0 1 1 0 | 1 1 1 x . . . x5o ♦ 10 | 5 10 | 0 5 0 2 | * * 2880 * * | 0 1 0 2 0 | 0 2 1 . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * 2400 * | 0 0 2 0 1 | 1 0 2 . . . o3x5o ♦ 30 | 0 60 | 0 0 20 12 | * * * * 480 | 0 0 0 2 1 | 0 1 2 ------------+------+------------+----------------------+-------------------------+---------------------+---------- x4o . o3x . ♦ 12 | 12 12 | 3 12 4 0 | 3 4 0 0 0 | 2400 * * * * | 1 1 0 x4o . . x5o ♦ 20 | 20 20 | 5 20 0 4 | 5 0 4 0 0 | * 720 * * * | 0 2 0 x . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 4 0 2 0 | * * 2400 * * | 1 0 1 x . . o3x5o ♦ 60 | 30 120 | 0 60 40 24 | 0 20 12 0 2 | * * * 480 * | 0 1 1 . . o3o3x5o ♦ 1200 | 0 3600 | 0 0 2400 720 | 0 0 0 600 120 | * * * * 4 | 0 0 2 ------------+------+------------+----------------------+-------------------------+---------------------+---------- x4o o3o3x . ♦ 16 | 16 24 | 4 24 16 0 | 6 16 0 4 0 | 4 0 4 0 0 | 600 * * x4o . o3x5o ♦ 120 | 120 240 | 30 240 80 48 | 60 80 48 0 4 | 20 12 0 4 0 | * 120 * x . o3o3x5o ♦ 2400 | 1200 7200 | 0 3600 4800 1440 | 0 2400 720 1200 240 | 0 0 600 120 2 | * * 4
x x o3o3x5o . . . . . . | 4800 | 1 1 6 | 1 6 6 6 3 | 6 6 3 6 3 2 3 | 6 3 2 3 2 3 1 | 2 3 1 1 ------------+------+-----------------+--------------------------+-----------------------------------+------------------------------+------------ x . . . . . | 2 | 2400 * * | 1 6 0 0 0 | 6 6 3 0 0 0 0 | 6 3 2 3 0 0 0 | 2 3 1 0 . x . . . . | 2 | * 2400 * | 1 0 6 0 0 | 6 0 0 6 3 0 0 | 6 3 0 0 2 3 0 | 2 3 0 1 . . . . x . | 2 | * * 14400 | 0 1 1 2 1 | 1 2 1 2 1 1 2 | 2 1 1 2 1 2 1 | 1 2 1 1 ------------+------+-----------------+--------------------------+-----------------------------------+------------------------------+------------ x x . . . . | 4 | 2 2 0 | 1200 * * * * ♦ 6 0 0 0 0 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 x . . . x . | 4 | 2 0 2 | * 7200 * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 . x . . x . | 4 | 0 2 2 | * * 7200 * * | 1 0 0 2 1 0 0 | 2 1 0 0 1 2 0 | 1 2 0 1 . . . o3x . | 3 | 0 0 3 | * * * 9600 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1 . . . . x5o | 5 | 0 0 5 | * * * * 2880 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1 ------------+------+-----------------+--------------------------+-----------------------------------+------------------------------+------------ x x . . x . ♦ 8 | 4 4 4 | 2 2 2 0 0 | 3600 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 2 0 | * 4800 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 x . . . x5o ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 1440 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0 . x . o3x . ♦ 6 | 0 3 6 | 0 0 3 2 0 | * * * 4800 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . . x5o ♦ 10 | 0 5 10 | 0 0 5 0 2 | * * * * 1440 * * | 0 1 0 0 0 2 0 | 0 2 0 1 . . o3o3x . ♦ 4 | 0 0 6 | 0 0 0 4 0 | * * * * * 2400 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . o3x5o ♦ 30 | 0 0 60 | 0 0 0 20 12 | * * * * * * 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 | 2400 * * * * * * | 1 1 0 0 x x . . x5o ♦ 20 | 10 10 20 | 5 10 10 0 4 | 5 0 2 0 2 0 0 | * 720 * * * * * | 0 2 0 0 x . o3o3x . ♦ 8 | 4 0 12 | 0 6 0 8 0 | 0 4 0 0 0 2 0 | * * 1200 * * * * | 1 0 1 0 x . . o3x5o ♦ 60 | 30 0 120 | 0 60 0 40 24 | 0 20 12 0 0 0 2 | * * * 240 * * * | 0 1 1 0 . x o3o3x . ♦ 8 | 0 4 12 | 0 0 6 8 0 | 0 0 0 4 0 2 0 | * * * * 1200 * * | 1 0 0 1 . x . o3x5o ♦ 60 | 0 30 120 | 0 0 60 40 24 | 0 0 0 20 12 0 2 | * * * * * 240 * | 0 1 0 1 . . o3o3x5o ♦ 1200 | 0 0 3600 | 0 0 0 2400 720 | 0 0 0 0 0 600 120 | * * * * * * 4 | 0 0 1 1 ------------+------+-----------------+--------------------------+-----------------------------------+------------------------------+------------ x x o3o3x . ♦ 16 | 8 8 24 | 4 12 12 16 0 | 6 8 0 8 0 4 0 | 4 0 2 0 2 0 0 | 600 * * * x x . o3x5o ♦ 120 | 60 60 240 | 30 120 120 80 48 | 60 40 24 40 24 0 4 | 20 12 0 2 0 2 0 | * 120 * * x . o3o3x5o ♦ 2400 | 1200 0 7200 | 0 3600 0 4800 1440 | 0 2400 720 0 0 1200 240 | 0 0 600 120 0 0 2 | * * 2 * . x o3o3x5o ♦ 2400 | 0 1200 7200 | 0 0 3600 4800 1440 | 0 0 0 2400 720 1200 240 | 0 0 0 0 600 120 2 | * * * 2
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