- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | toedip |
| Name | truncated-octahedron - truncated-octahedron duoprism |
| Circumradius | sqrt(5) = 2.236068 |
| Volume | 128 |
| Face vector | 576, 1728, 1968, 1056, 268, 28 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x4o x3x4o o3o4o o3o4o | 576 | 2 4 | 4 1 4 2 4 | 2 4 8 2 4 | 2 4 4 4 1 | 4 2 ---------------+-----+----------+---------------------+--------------------+----------------+------ x . . . . . & | 2 | 576 * | 2 1 2 0 0 | 1 4 4 1 0 | 2 2 4 2 0 | 4 1 . x . . . . & | 2 | * 1152 | 1 0 1 1 2 | 1 1 4 1 3 | 1 3 2 3 1 | 3 2 ---------------+-----+----------+---------------------+--------------------+----------------+------ x3x . . . . & | 6 | 3 3 | 384 * * * * | 1 1 2 0 0 | 1 2 2 1 0 | 3 1 x . . x . . | 4 | 4 0 | * 144 * * * | 0 4 0 0 0 | 2 0 4 0 0 | 4 0 x . . . x . & | 4 | 2 2 | * * 576 * * | 0 1 2 1 0 | 1 1 2 2 0 | 3 1 . x4o . . . & | 4 | 0 4 | * * * 288 * | 1 0 0 1 2 | 1 2 0 2 1 | 2 2 . x . . x . | 4 | 0 4 | * * * * 576 | 0 0 2 0 2 | 0 2 1 2 1 | 2 2 ---------------+-----+----------+---------------------+--------------------+----------------+------ x3x4o . . . & ♦ 24 | 12 24 | 8 0 0 6 0 | 48 * * * * | 1 2 0 0 0 | 2 1 x3x . x . . & ♦ 12 | 12 6 | 2 3 3 0 0 | * 192 * * * | 1 0 2 0 0 | 3 0 x3x . . x . & ♦ 12 | 6 12 | 2 0 3 0 3 | * * 384 * * | 0 1 1 1 0 | 2 1 x . . . x4o & ♦ 8 | 4 8 | 0 0 4 2 0 | * * * 144 * | 1 0 0 2 0 | 2 1 . x4o . x . & ♦ 8 | 0 12 | 0 0 0 2 4 | * * * * 288 | 0 1 0 1 1 | 1 2 ---------------+-----+----------+---------------------+--------------------+----------------+------ x3x4o x . . & ♦ 48 | 48 48 | 16 12 24 12 0 | 2 8 0 6 0 | 24 * * * * | 2 0 x3x4o . x . & ♦ 48 | 24 72 | 16 0 12 12 24 | 2 0 8 0 6 | * 48 * * * | 1 1 x3x . x3x . ♦ 36 | 36 36 | 12 9 18 0 9 | 0 6 6 0 0 | * * 64 * * | 2 0 x3x . . x4o & ♦ 24 | 12 36 | 4 0 12 6 12 | 0 0 4 3 3 | * * * 96 * | 1 1 . x4o . x4o ♦ 16 | 0 32 | 0 0 0 8 16 | 0 0 0 0 8 | * * * * 36 | 0 2 ---------------+-----+----------+---------------------+--------------------+----------------+------ x3x4o x3x . & ♦ 144 | 144 216 | 72 36 108 36 72 | 6 36 48 18 18 | 3 3 8 6 0 | 16 * x3x4o . x4o & ♦ 96 | 48 192 | 32 0 48 48 96 | 4 0 32 12 48 | 0 4 0 8 6 | * 12
x3x3x x3x4o . . . . . . | 576 | 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 | 288 * * * * | 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 | * 288 * * * | 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 | * * 288 * * | 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 | * * * 288 * | 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 | * * * * 576 | 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 | 96 * * * * * * * * * * | 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 | * 144 * * * * * * * * * | 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 | * * 144 * * * * * * * * | 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 | * * * 288 * * * * * * * | 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 . x3x . . . | 6 | 0 3 3 0 0 | * * * * 96 * * * * * * | 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 | * * * * * 144 * * * * * | 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 | * * * * * * 288 * * * * | 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 . . x x . . | 4 | 0 0 2 2 0 | * * * * * * * 144 * * * | 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 | * * * * * * * * 288 * * | 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 | * * * * * * * * * 192 * | 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 | * * * * * * * * * * 144 | 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 ------------+-----+---------------------+-------------------------------------------+--------------------------------------------+----------------------------------+---------- x3x3x . . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * | 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 | * 48 * * * * * * * * * * * * | 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 | * * 96 * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x x . . ♦ 8 | 4 0 4 4 0 | 0 2 2 0 0 0 0 2 0 0 0 | * * * 72 * * * * * * * * * * | 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 | * * * * 144 * * * * * * * * * | 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 | * * * * * 96 * * * * * * * * | 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 | * * * * * * 72 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x x . . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 2 3 0 3 0 0 0 | * * * * * * * 48 * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . x3x . x . ♦ 12 | 0 6 6 0 6 | 0 0 0 0 2 0 3 0 3 0 0 | * * * * * * * * 96 * * * * * | 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 | * * * * * * * * * 96 * * * * | 0 0 1 0 0 0 0 1 1 0 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 | * * * * * * * * * * 72 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x x3x . ♦ 12 | 0 0 6 6 6 | 0 0 0 0 0 0 0 3 3 2 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 | * * * * * * * * * * * * 72 * | 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 | * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------+-----+---------------------+-------------------------------------------+--------------------------------------------+----------------------------------+---------- x3x3x x . . ♦ 48 | 24 24 24 24 0 | 8 12 12 0 8 12 0 12 0 0 0 | 2 4 0 6 0 0 0 4 0 0 0 0 0 0 | 12 * * * * * * * * * * | 2 0 0 0 0 x3x3x . x . ♦ 48 | 24 24 24 0 24 | 8 12 0 12 8 0 12 0 12 0 0 | 2 0 4 0 6 0 0 0 4 0 0 0 0 0 | * 24 * * * * * * * * * | 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 | * * 32 * * * * * * * * | 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 | * * * 24 * * * * * * * | 0 1 1 0 0 x . x x3x . ♦ 24 | 12 0 12 12 12 | 0 6 6 6 0 0 0 6 6 4 0 | 0 0 0 3 3 2 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 | * * * * * 36 * * * * * | 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 | * * * * * * 12 * * * * | 0 0 1 1 0 . x3x x3x . ♦ 36 | 0 18 18 18 18 | 0 0 0 0 6 9 9 9 9 6 0 | 0 0 0 0 0 0 0 3 3 3 0 3 0 0 | * * * * * * * 32 * * * | 1 0 0 0 1 . x3x . x4o ♦ 24 | 0 12 12 0 24 | 0 0 0 0 4 0 12 0 12 0 6 | 0 0 0 0 0 0 0 0 4 0 3 0 3 0 | * * * * * * * * 24 * * | 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 | * * * * * * * * * 12 * | 0 0 1 0 1 . . x x3x4o ♦ 48 | 0 0 24 24 48 | 0 0 0 0 0 0 0 12 24 16 12 | 0 0 0 0 0 0 0 0 0 0 0 8 6 2 | * * * * * * * * * * 12 | 0 0 0 1 1 ------------+-----+---------------------+-------------------------------------------+--------------------------------------------+----------------------------------+---------- x3x3x x3x . ♦ 144 | 72 72 72 72 72 | 24 36 36 36 24 36 36 36 36 24 0 | 6 12 12 18 18 12 0 12 12 12 0 12 0 0 | 3 3 4 0 6 0 0 4 0 0 0 | 8 * * * * x3x3x . x4o ♦ 96 | 48 48 48 0 96 | 16 24 0 48 16 0 48 0 48 0 24 | 4 0 16 0 24 0 12 0 16 0 12 0 12 0 | 0 4 0 4 0 6 0 0 4 0 0 | * 6 * * * 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 | * * 4 * * x . x x3x4o ♦ 96 | 48 0 48 48 96 | 0 24 24 48 0 0 0 24 48 32 24 | 0 0 0 12 24 16 12 0 0 0 0 16 12 4 | 0 0 0 0 8 6 2 0 0 0 2 | * * * 6 * . x3x x3x4o ♦ 144 | 0 72 72 72 144 | 0 0 0 0 24 36 72 36 72 48 36 | 0 0 0 0 0 0 0 12 24 24 18 24 18 6 | 0 0 0 0 0 0 0 8 6 3 3 | * * * * 4
x3x3x x3x3x o3o3o o3o3o | 576 | 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 | 288 * * * * * | 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 | * 288 * * * * | 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 | * * 288 * * * | 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 | * * * 288 * * | 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 | * * * * 288 * | 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 | * * * * * 288 | 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 | 96 * * * * * * * * * * * * * * | 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 | * 144 * * * * * * * * * * * * * | 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 | * * 144 * * * * * * * * * * * * | 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 | * * * 144 * * * * * * * * * * * | 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 | * * * * 144 * * * * * * * * * * | 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 . x3x . . . | 6 | 0 3 3 0 0 0 | * * * * * 96 * * * * * * * * * | 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 | * * * * * * 144 * * * * * * * * | 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 | * * * * * * * 144 * * * * * * * | 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 | * * * * * * * * 144 * * * * * * | 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 0 | 0 1 1 1 0 1 . . x x . . | 4 | 0 0 2 2 0 0 | * * * * * * * * * 144 * * * * * | 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 | * * * * * * * * * * 144 * * * * | 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 | * * * * * * * * * * * 144 * * * | 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 | * * * * * * * * * * * * 96 * * | 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 . x | 4 | 0 0 0 2 0 2 | * * * * * * * * * * * * * 144 * | 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 . . . . x3x | 6 | 0 0 0 0 3 3 | * * * * * * * * * * * * * * 96 | 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 ------------+-----+-------------------------+---------------------------------------------------------+-------------------------------------------------------------+----------------------------------------------+------------ x3x3x . . . ♦ 24 | 12 12 12 0 0 0 | 4 6 0 0 0 4 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * * * * * * * | 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 | * 48 * * * * * * * * * * * * * * * * * * | 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 | * * 48 * * * * * * * * * * * * * * * * * | 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 | * * * 48 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 x . x x . . ♦ 8 | 4 0 4 4 0 0 | 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * 72 * * * * * * * * * * * * * * * | 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 | * * * * * 72 * * * * * * * * * * * * * * | 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 | * * * * * * 72 * * * * * * * * * * * * * | 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 | * * * * * * * 48 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x . . x . x ♦ 8 | 4 0 0 4 0 4 | 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 72 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0 x . . . x3x ♦ 12 | 6 0 0 0 6 6 | 0 0 0 3 3 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 48 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . x3x x . . ♦ 12 | 0 6 6 6 0 0 | 0 0 0 0 0 2 3 0 0 3 0 0 0 0 0 | * * * * * * * * * * 48 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3x . x . ♦ 12 | 0 6 6 0 6 0 | 0 0 0 0 0 2 0 3 0 0 3 0 0 0 0 | * * * * * * * * * * * 48 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 . x3x . . x ♦ 12 | 0 6 6 0 0 6 | 0 0 0 0 0 2 0 0 3 0 0 3 0 0 0 | * * * * * * * * * * * * 48 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . x3x . ♦ 12 | 0 6 0 6 6 0 | 0 0 0 0 0 0 3 3 0 0 0 0 2 0 0 | * * * * * * * * * * * * * 48 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 . x . x . x ♦ 8 | 0 4 0 4 0 4 | 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 | * * * * * * * * * * * * * * 72 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 . x . . x3x ♦ 12 | 0 6 0 0 6 6 | 0 0 0 0 0 0 0 3 3 0 0 0 0 0 2 | * * * * * * * * * * * * * * * 48 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 . . x x3x . ♦ 12 | 0 0 6 6 6 0 | 0 0 0 0 0 0 0 0 0 3 3 0 2 0 0 | * * * * * * * * * * * * * * * * 48 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 . . x x . x ♦ 8 | 0 0 4 4 0 4 | 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 | * * * * * * * * * * * * * * * * * 72 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 . . x . x3x ♦ 12 | 0 0 6 0 6 6 | 0 0 0 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . . . x3x3x ♦ 24 | 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ------------+-----+-------------------------+---------------------------------------------------------+-------------------------------------------------------------+----------------------------------------------+------------ x3x3x x . . ♦ 48 | 24 24 24 24 0 0 | 8 12 12 0 0 8 12 0 0 12 0 0 0 0 0 | 2 4 0 0 6 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * | 1 1 0 0 0 0 x3x3x . x . ♦ 48 | 24 24 24 0 24 0 | 8 12 0 12 0 8 0 12 0 0 12 0 0 0 0 | 2 0 4 0 0 6 0 0 0 0 0 4 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * | 1 0 1 0 0 0 x3x3x . . x ♦ 48 | 24 24 24 0 0 24 | 8 12 0 0 12 8 0 0 12 0 0 12 0 0 0 | 2 0 0 4 0 0 6 0 0 0 0 0 4 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * * * * | 0 1 1 0 0 0 x3x . x3x . ♦ 36 | 18 18 0 18 18 0 | 6 0 9 9 0 0 9 9 0 0 0 0 6 0 0 | 0 3 3 0 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 | * * * 16 * * * * * * * * * * * | 1 0 0 1 0 0 x3x . x . x ♦ 24 | 12 12 0 12 0 12 | 4 0 6 0 6 0 6 0 6 0 0 0 0 6 0 | 0 2 0 2 0 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 | * * * * 24 * * * * * * * * * * | 0 1 0 1 0 0 x3x . . x3x ♦ 36 | 18 18 0 0 18 18 | 6 0 0 9 9 0 0 9 9 0 0 0 0 0 6 | 0 0 3 3 0 0 0 0 0 3 0 0 0 0 0 3 0 0 0 0 | * * * * * 16 * * * * * * * * * | 0 0 1 1 0 0 x . x x3x . ♦ 24 | 12 0 12 12 12 0 | 0 6 6 6 0 0 0 0 0 6 6 0 4 0 0 | 0 0 0 0 3 3 0 2 0 0 0 0 0 0 0 0 2 0 0 0 | * * * * * * 24 * * * * * * * * | 1 0 0 0 1 0 x . x x . x ♦ 16 | 8 0 8 8 0 8 | 0 4 4 0 4 0 0 0 0 4 0 4 0 4 0 | 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 36 * * * * * * * | 0 1 0 0 1 0 x . x . x3x ♦ 24 | 12 0 12 0 12 12 | 0 6 0 6 6 0 0 0 0 0 6 6 0 0 4 | 0 0 0 0 0 3 3 0 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 24 * * * * * * | 0 0 1 0 1 0 x . . x3x3x ♦ 48 | 24 0 0 24 24 24 | 0 0 12 12 12 0 0 0 0 0 0 0 8 12 8 | 0 0 0 0 0 0 0 4 6 4 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 12 * * * * * | 0 0 0 1 1 0 . x3x x3x . ♦ 36 | 0 18 18 18 18 0 | 0 0 0 0 0 6 9 9 0 9 9 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 3 3 0 3 0 0 3 0 0 0 | * * * * * * * * * * 16 * * * * | 1 0 0 0 0 1 . x3x x . x ♦ 24 | 0 12 12 12 0 12 | 0 0 0 0 0 4 6 0 6 6 0 6 0 6 0 | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 3 0 0 3 0 0 | * * * * * * * * * * * 24 * * * | 0 1 0 0 0 1 . x3x . x3x ♦ 36 | 0 18 18 0 18 18 | 0 0 0 0 0 6 0 9 9 0 9 9 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 0 0 3 0 | * * * * * * * * * * * * 16 * * | 0 0 1 0 0 1 . x . x3x3x ♦ 48 | 0 24 0 24 24 24 | 0 0 0 0 0 0 12 12 12 0 0 0 8 12 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 0 0 0 2 | * * * * * * * * * * * * * 12 * | 0 0 0 1 0 1 . . x x3x3x ♦ 48 | 0 0 24 24 24 24 | 0 0 0 0 0 0 0 0 0 12 12 12 8 12 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 2 | * * * * * * * * * * * * * * 12 | 0 0 0 0 1 1 ------------+-----+-------------------------+---------------------------------------------------------+-------------------------------------------------------------+----------------------------------------------+------------ x3x3x x3x . ♦ 144 | 72 72 72 72 72 0 | 24 36 36 36 0 24 36 36 0 36 36 0 24 0 0 | 6 12 12 0 18 18 0 12 0 0 12 12 0 12 0 0 12 0 0 0 | 3 3 0 4 0 0 6 0 0 0 4 0 0 0 0 | 4 * * * * * x3x3x x . x ♦ 96 | 48 48 48 48 0 48 | 16 24 24 0 24 16 24 0 24 24 0 24 0 24 0 | 4 8 0 8 12 0 12 0 12 0 8 0 8 0 12 0 0 12 0 0 | 2 0 2 0 4 0 0 6 0 0 0 4 0 0 0 | * 6 * * * * x3x3x . x3x ♦ 144 | 72 72 72 0 72 72 | 24 36 0 36 36 24 0 36 36 0 36 36 0 0 24 | 6 0 12 12 0 18 18 0 0 12 0 12 12 0 0 12 0 0 12 0 | 0 3 3 0 0 4 0 0 6 0 0 0 4 0 0 | * * 4 * * * x3x . x3x3x ♦ 144 | 72 72 0 72 72 72 | 24 0 36 36 36 0 36 36 36 0 0 0 24 36 24 | 0 12 12 12 0 0 0 12 18 12 0 0 0 12 18 12 0 0 0 6 | 0 0 0 4 6 4 0 0 0 3 0 0 0 3 0 | * * * 4 * * x . x x3x3x ♦ 96 | 48 0 48 48 48 48 | 0 24 24 24 24 0 0 0 0 24 24 24 16 24 16 | 0 0 0 0 12 12 12 8 12 8 0 0 0 0 0 0 8 12 8 4 | 0 0 0 0 0 0 4 6 4 2 0 0 0 0 2 | * * * * 6 * . x3x x3x3x ♦ 144 | 0 72 72 72 72 72 | 0 0 0 0 0 24 36 36 36 36 36 36 24 36 24 | 0 0 0 0 0 0 0 0 0 0 12 12 12 12 18 12 12 18 12 6 | 0 0 0 0 0 0 0 0 0 0 4 6 4 3 3 | * * * * * 4
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