biruncitruncated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | boprax |
| Name |
biprismatorhombated hexeract, biruncitruncated hexacross |
| Circumradius | 2 sqrt(3) = 3.464102 |
| Coordinates | (3/sqrt(2), 3/sqrt(2), sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Face vector | 5760, 23040, 31680, 19200, 5276, 476 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3x3o3x4o . . . . . . | 5760 | 2 2 4 | 1 4 8 1 4 2 2 | 2 4 2 8 4 4 2 2 1 | 1 4 2 2 4 4 2 1 | 2 2 1 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- . x . . . . | 2 | 5760 * * | 1 2 4 0 0 0 0 | 2 4 1 4 2 2 0 0 0 | 1 4 2 2 2 2 1 0 | 2 2 1 1 . . x . . . | 2 | * 5760 * | 0 2 0 1 2 0 0 | 1 0 2 4 0 0 2 1 0 | 1 2 0 0 4 2 0 1 | 2 1 0 2 . . . . x . | 2 | * * 11520 | 0 0 2 0 1 1 1 | 0 1 0 2 2 2 1 1 1 | 0 1 1 1 2 2 2 1 | 1 1 1 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x . . . . | 3 | 3 0 0 | 1920 * * * * * * | 2 4 0 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 | 2 2 1 0 . x3x . . . | 6 | 3 3 0 | * 3840 * * * * * | 1 0 1 2 0 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . . x . | 4 | 2 0 2 | * * 11520 * * * * | 0 1 0 1 1 1 0 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . x3o . . | 3 | 0 3 0 | * * * 1920 * * * | 0 0 2 0 0 0 2 0 0 | 1 0 0 0 4 0 0 1 | 2 0 0 2 . . x . x . | 4 | 0 2 2 | * * * * 5760 * * | 0 0 0 2 0 0 1 1 0 | 0 1 0 0 2 2 0 1 | 1 1 0 2 . . . o3x . | 3 | 0 0 3 | * * * * * 3840 * | 0 0 0 0 2 0 1 0 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x4o | 4 | 0 0 4 | * * * * * * 2880 | 0 0 0 0 0 2 0 1 1 | 0 0 0 1 0 2 2 1 | 0 1 1 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3x . . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 0 | 960 * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 o3x . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * 3840 * * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3x3o . . ♦ 12 | 6 12 0 | 0 4 0 4 0 0 0 | * * 960 * * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3x . x . ♦ 12 | 6 6 6 | 0 2 3 0 3 0 0 | * * * 3840 * * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 0 | * * * * 3840 * * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x4o ♦ 8 | 4 0 8 | 0 0 4 0 0 0 2 | * * * * * 2880 * * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . x3o3x . ♦ 12 | 0 12 12 | 0 0 0 4 6 4 0 | * * * * * * 960 * * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x4o ♦ 8 | 0 4 8 | 0 0 0 0 4 0 2 | * * * * * * * 1440 * | 0 0 0 0 0 2 0 1 | 0 1 0 2 . . . o3x4o ♦ 12 | 0 0 24 | 0 0 0 0 0 8 6 | * * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 1 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3x3o . . ♦ 30 | 30 30 0 | 10 20 0 10 0 0 0 | 5 0 5 0 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 o3x3x . x . ♦ 24 | 24 12 12 | 8 8 12 0 6 0 0 | 2 4 0 4 0 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 0 9 | 3 0 9 0 0 3 0 | 0 3 0 0 3 0 0 0 0 | * * 1280 * * * * * | 1 0 1 0 o3x . . x4o ♦ 12 | 12 0 12 | 4 0 12 0 0 0 3 | 0 4 0 0 0 3 0 0 0 | * * * 960 * * * * | 0 1 1 0 . x3x3o3x . ♦ 60 | 30 60 60 | 0 20 30 20 30 20 0 | 0 0 5 10 10 0 5 0 0 | * * * * 384 * * * | 1 0 0 1 . x3x . x4o ♦ 24 | 12 12 24 | 0 4 12 0 12 0 6 | 0 0 0 4 0 3 0 3 0 | * * * * * 960 * * | 0 1 0 1 . x . o3x4o ♦ 24 | 12 0 48 | 0 0 24 0 0 16 12 | 0 0 0 0 8 6 0 0 2 | * * * * * * 480 * | 0 0 1 1 . . x3o3x4o ♦ 96 | 0 96 192 | 0 0 0 32 96 64 48 | 0 0 0 0 0 0 16 24 8 | * * * * * * * 60 | 0 0 0 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3x3o3x . ♦ 180 | 180 180 180 | 60 120 180 60 90 60 0 | 30 60 30 60 60 0 15 0 0 | 6 15 20 0 6 0 0 0 | 64 * * * o3x3x . x4o ♦ 48 | 48 24 48 | 16 16 48 0 24 0 12 | 4 16 0 16 0 12 0 6 0 | 0 4 0 4 0 4 0 0 | * 240 * * o3x . o3x4o ♦ 36 | 36 0 72 | 12 0 72 0 0 24 18 | 0 24 0 0 24 18 0 0 3 | 0 0 8 6 0 0 3 0 | * * 160 * . x3x3o3x4o ♦ 960 | 480 960 1920 | 0 320 960 320 960 640 480 | 0 0 80 320 320 240 160 240 80 | 0 0 0 0 32 80 40 10 | * * * 12
o3x3x3o3x4/3o . . . . . . | 5760 | 2 2 4 | 1 4 8 1 4 2 2 | 2 4 2 8 4 4 2 2 1 | 1 4 2 2 4 4 2 1 | 2 2 1 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- . x . . . . | 2 | 5760 * * | 1 2 4 0 0 0 0 | 2 4 1 4 2 2 0 0 0 | 1 4 2 2 2 2 1 0 | 2 2 1 1 . . x . . . | 2 | * 5760 * | 0 2 0 1 2 0 0 | 1 0 2 4 0 0 2 1 0 | 1 2 0 0 4 2 0 1 | 2 1 0 2 . . . . x . | 2 | * * 11520 | 0 0 2 0 1 1 1 | 0 1 0 2 2 2 1 1 1 | 0 1 1 1 2 2 2 1 | 1 1 1 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x . . . . | 3 | 3 0 0 | 1920 * * * * * * | 2 4 0 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 | 2 2 1 0 . x3x . . . | 6 | 3 3 0 | * 3840 * * * * * | 1 0 1 2 0 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . . x . | 4 | 2 0 2 | * * 11520 * * * * | 0 1 0 1 1 1 0 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . x3o . . | 3 | 0 3 0 | * * * 1920 * * * | 0 0 2 0 0 0 2 0 0 | 1 0 0 0 4 0 0 1 | 2 0 0 2 . . x . x . | 4 | 0 2 2 | * * * * 5760 * * | 0 0 0 2 0 0 1 1 0 | 0 1 0 0 2 2 0 1 | 1 1 0 2 . . . o3x . | 3 | 0 0 3 | * * * * * 3840 * | 0 0 0 0 2 0 1 0 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x4/3o | 4 | 0 0 4 | * * * * * * 2880 | 0 0 0 0 0 2 0 1 1 | 0 0 0 1 0 2 2 1 | 0 1 1 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3x . . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 0 | 960 * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 o3x . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * 3840 * * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3x3o . . ♦ 12 | 6 12 0 | 0 4 0 4 0 0 0 | * * 960 * * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3x . x . ♦ 12 | 6 6 6 | 0 2 3 0 3 0 0 | * * * 3840 * * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 0 | * * * * 3840 * * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x4/3o ♦ 8 | 4 0 8 | 0 0 4 0 0 0 2 | * * * * * 2880 * * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . x3o3x . ♦ 12 | 0 12 12 | 0 0 0 4 6 4 0 | * * * * * * 960 * * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x4/3o ♦ 8 | 0 4 8 | 0 0 0 0 4 0 2 | * * * * * * * 1440 * | 0 0 0 0 0 2 0 1 | 0 1 0 2 . . . o3x4/3o ♦ 12 | 0 0 24 | 0 0 0 0 0 8 6 | * * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 1 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3x3o . . ♦ 30 | 30 30 0 | 10 20 0 10 0 0 0 | 5 0 5 0 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 o3x3x . x . ♦ 24 | 24 12 12 | 8 8 12 0 6 0 0 | 2 4 0 4 0 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 0 9 | 3 0 9 0 0 3 0 | 0 3 0 0 3 0 0 0 0 | * * 1280 * * * * * | 1 0 1 0 o3x . . x4/3o ♦ 12 | 12 0 12 | 4 0 12 0 0 0 3 | 0 4 0 0 0 3 0 0 0 | * * * 960 * * * * | 0 1 1 0 . x3x3o3x . ♦ 60 | 30 60 60 | 0 20 30 20 30 20 0 | 0 0 5 10 10 0 5 0 0 | * * * * 384 * * * | 1 0 0 1 . x3x . x4/3o ♦ 24 | 12 12 24 | 0 4 12 0 12 0 6 | 0 0 0 4 0 3 0 3 0 | * * * * * 960 * * | 0 1 0 1 . x . o3x4/3o ♦ 24 | 12 0 48 | 0 0 24 0 0 16 12 | 0 0 0 0 8 6 0 0 2 | * * * * * * 480 * | 0 0 1 1 . . x3o3x4/3o ♦ 96 | 0 96 192 | 0 0 0 32 96 64 48 | 0 0 0 0 0 0 16 24 8 | * * * * * * * 60 | 0 0 0 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3x3o3x . ♦ 180 | 180 180 180 | 60 120 180 60 90 60 0 | 30 60 30 60 60 0 15 0 0 | 6 15 20 0 6 0 0 0 | 64 * * * o3x3x . x4/3o ♦ 48 | 48 24 48 | 16 16 48 0 24 0 12 | 4 16 0 16 0 12 0 6 0 | 0 4 0 4 0 4 0 0 | * 240 * * o3x . o3x4/3o ♦ 36 | 36 0 72 | 12 0 72 0 0 24 18 | 0 24 0 0 24 18 0 0 3 | 0 0 8 6 0 0 3 0 | * * 160 * . x3x3o3x4/3o ♦ 960 | 480 960 1920 | 0 320 960 320 960 640 480 | 0 0 80 320 320 240 160 240 80 | 0 0 0 0 32 80 40 10 | * * * 12
x3o3x *b3x3x3o . . . . . . | 5760 | 2 2 2 2 | 1 2 2 4 1 1 2 4 4 1 | 1 1 2 2 4 4 2 1 2 2 4 2 2 | 1 2 2 1 4 2 2 2 1 1 2 | 2 1 1 2 1 ---------------+------+---------------------+---------------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x . . . . . | 2 | 5760 * * * | 1 1 1 2 0 0 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 0 0 0 | 1 2 2 1 2 1 1 0 0 0 0 | 2 1 1 1 0 . . x . . . | 2 | * 5760 * * | 0 1 0 0 1 0 1 2 0 0 | 1 0 0 1 2 0 0 1 2 0 2 1 0 | 1 2 0 0 2 1 0 2 1 0 1 | 2 1 0 1 1 . . . x . . | 2 | * * 5760 * | 0 0 1 0 0 1 1 0 2 0 | 0 1 0 1 0 2 0 1 0 2 2 0 1 | 1 0 2 0 2 0 1 2 0 1 1 | 2 0 1 1 1 . . . . x . | 2 | * * * 5760 | 0 0 0 2 0 0 0 2 2 1 | 0 0 1 0 2 2 2 0 1 1 2 2 2 | 0 1 1 1 2 2 2 1 1 1 2 | 1 1 1 2 1 ---------------+------+---------------------+---------------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x3o . . . . | 3 | 3 0 0 0 | 1920 * * * * * * * * * | 1 1 2 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 2 0 0 | * 2880 * * * * * * * * | 1 0 0 1 2 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 2 0 | * * 2880 * * * * * * * | 0 1 0 1 0 2 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 2 | * * * 5760 * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . o3x . . . | 3 | 0 3 0 0 | * * * * 1920 * * * * * | 1 0 0 0 0 0 0 1 2 0 0 0 0 | 1 2 0 0 0 0 0 2 1 0 0 | 2 1 0 0 1 . o . *b3x . . | 3 | 0 0 3 0 | * * * * * 1920 * * * * | 0 1 0 0 0 0 0 1 0 2 0 0 0 | 1 0 2 0 0 0 0 2 0 1 0 | 2 0 1 0 1 . . x x . . | 4 | 0 2 2 0 | * * * * * * 2880 * * * | 0 0 0 1 0 0 0 1 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 2 0 2 | * * * * * * * 5760 * * | 0 0 0 0 1 0 0 0 1 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x3x . | 6 | 0 0 3 3 | * * * * * * * * 3840 * | 0 0 0 0 0 1 0 0 0 1 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x3o | 3 | 0 0 0 3 | * * * * * * * * * 1920 | 0 0 0 0 0 0 2 0 0 0 0 2 2 | 0 0 0 1 0 2 2 0 1 1 2 | 0 1 1 2 1 ---------------+------+---------------------+---------------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x3o3x . . . ♦ 12 | 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 480 * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x3o . *b3x . . ♦ 12 | 12 0 12 0 | 4 0 6 0 0 4 0 0 0 0 | * 480 * * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 x3o . . x . ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 0 0 | * * 1920 * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x x . . ♦ 8 | 4 4 4 0 | 0 2 2 0 0 0 2 0 0 0 | * * * 1440 * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 x . x . x . ♦ 8 | 4 4 0 4 | 0 2 0 2 0 0 0 2 0 0 | * * * * 2880 * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x3x . ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 0 0 2 0 | * * * * * 1920 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x3o ♦ 6 | 3 0 0 6 | 0 0 0 3 0 0 0 0 0 2 | * * * * * * 1920 * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . o3x *b3x . . ♦ 12 | 0 12 12 0 | 0 0 0 0 4 4 6 0 0 0 | * * * * * * * 480 * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . o3x . x . ♦ 6 | 0 6 0 3 | 0 0 0 0 2 0 0 3 0 0 | * * * * * * * * 1920 * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . o . *b3x3x . ♦ 12 | 0 0 12 6 | 0 0 0 0 0 4 0 0 4 0 | * * * * * * * * * 960 * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . . x x3x . ♦ 12 | 0 6 6 6 | 0 0 0 0 0 0 3 3 2 0 | * * * * * * * * * * 1920 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * 1920 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3x3o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 960 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+------+---------------------+---------------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x3o3x *b3x . . ♦ 96 | 96 96 96 0 | 32 48 48 0 32 32 48 0 0 0 | 8 8 0 24 0 0 0 8 0 0 0 0 0 | 60 * * * * * * * * * * | 2 0 0 0 0 x3o3x . x . ♦ 24 | 24 24 0 12 | 8 12 0 12 8 0 0 12 0 0 | 2 0 4 0 6 0 0 0 4 0 0 0 0 | * 480 * * * * * * * * * | 1 1 0 0 0 x3o . *b3x3x . ♦ 60 | 60 0 60 30 | 20 0 30 30 0 20 0 0 20 0 | 0 5 10 0 0 10 0 0 0 5 0 0 0 | * * 192 * * * * * * * * | 1 0 1 0 0 x3o . . x3o ♦ 9 | 9 0 0 9 | 3 0 0 9 0 0 0 0 0 3 | 0 0 3 0 0 0 3 0 0 0 0 0 0 | * * * 640 * * * * * * * | 0 1 1 0 0 x . x x3x . ♦ 24 | 12 12 12 12 | 0 6 6 6 0 0 6 6 4 0 | 0 0 0 3 3 2 0 0 0 0 2 0 0 | * * * * 960 * * * * * * | 1 0 0 1 0 x . x . x3o ♦ 12 | 6 6 0 12 | 0 3 0 6 0 0 0 6 0 4 | 0 0 0 0 3 0 2 0 0 0 0 2 0 | * * * * * 960 * * * * * | 0 1 0 1 0 x . . x3x3o ♦ 24 | 12 0 12 24 | 0 0 6 12 0 0 0 0 8 8 | 0 0 0 0 0 4 4 0 0 0 0 0 2 | * * * * * * 480 * * * * | 0 0 1 1 0 . o3x *b3x3x . ♦ 60 | 0 60 60 30 | 0 0 0 0 20 20 30 30 20 0 | 0 0 0 0 0 0 0 5 10 5 10 0 0 | * * * * * * * 192 * * * | 1 0 0 0 1 . o3x . x3o ♦ 9 | 0 9 0 9 | 0 0 0 0 3 0 0 9 0 3 | 0 0 0 0 0 0 0 0 3 0 0 3 0 | * * * * * * * * 640 * * | 0 1 0 0 1 . o . *b3x3x3o ♦ 30 | 0 0 30 30 | 0 0 0 0 0 10 0 0 20 10 | 0 0 0 0 0 0 0 0 0 5 0 0 5 | * * * * * * * * * 192 * | 0 0 1 0 1 . . x x3x3o ♦ 24 | 0 12 12 24 | 0 0 0 0 0 0 6 12 8 8 | 0 0 0 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * * 480 | 0 0 0 1 1 ---------------+------+---------------------+---------------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x3o3x *b3x3x . ♦ 960 | 960 960 960 480 | 320 480 480 480 320 320 480 480 320 0 | 80 80 160 240 240 160 0 80 160 80 160 0 0 | 10 40 16 0 80 0 0 16 0 0 0 | 12 * * * * x3o3x . x3o ♦ 36 | 36 36 0 36 | 12 18 0 36 12 0 0 36 0 12 | 3 0 12 0 18 0 12 0 12 0 0 12 0 | 0 3 0 4 0 6 0 0 4 0 0 | * 160 * * * x3o . *b3x3x3o ♦ 180 | 180 0 180 180 | 60 0 90 180 0 60 0 0 120 60 | 0 15 60 0 0 60 60 0 0 30 0 0 30 | 0 0 6 20 0 0 15 0 0 6 0 | * * 32 * * x . x x3x3o ♦ 48 | 24 24 24 48 | 0 12 12 24 0 0 12 24 16 16 | 0 0 0 6 12 8 8 0 0 0 8 8 4 | 0 0 0 0 4 4 2 0 0 0 2 | * * * 240 * . o3x *b3x3x3o ♦ 180 | 0 180 180 180 | 0 0 0 0 60 60 90 180 120 60 | 0 0 0 0 0 0 0 15 60 30 60 60 30 | 0 0 0 0 0 0 0 6 20 6 15 | * * * * 32
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