biruncitruncated hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | boprag |
| Name |
biprismatorhombated hexacontitetrapeton, biruncitruncated hexeract |
| Circumradius | sqrt(27/2) = 3.674235 |
| Coordinates | (3/sqrt(2), 3/sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Face vector | 5760, 23040, 32160, 19680, 5276, 476 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3o3x3x4o o3o3o3o3o4o | 5760 | 4 2 2 | 2 2 4 8 1 4 1 | 1 2 4 2 4 8 4 2 2 | 1 2 4 2 4 2 4 1 | 2 1 2 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- . x . . . . | 2 | 11520 * * | 1 1 1 2 0 0 0 | 1 1 2 1 2 2 1 0 0 | 1 2 2 1 2 1 1 0 | 2 1 1 1 . . . x . . | 2 | * 5760 * | 0 0 2 0 1 2 0 | 0 1 0 2 0 4 0 2 1 | 1 0 2 0 4 0 2 1 | 2 0 1 2 . . . . x . | 2 | * * 5760 | 0 0 0 4 0 2 1 | 0 0 2 0 2 4 4 1 2 | 0 1 2 2 2 2 4 1 | 1 1 2 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x . . . . | 3 | 3 0 0 | 3840 * * * * * * | 1 1 2 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 2 1 1 0 . x3o . . . | 3 | 3 0 0 | * 3840 * * * * * | 1 0 0 1 2 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . x . . | 4 | 2 2 0 | * * 5760 * * * * | 0 1 0 1 0 2 0 0 0 | 1 0 2 0 2 0 1 0 | 2 0 1 1 . x . . x . | 4 | 2 0 2 | * * * 11520 * * * | 0 0 1 0 1 1 1 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . o3x . . | 3 | 0 3 0 | * * * * 1920 * * | 0 0 0 2 0 0 0 2 0 | 1 0 0 0 4 0 0 1 | 2 0 0 2 . . . x3x . | 6 | 0 3 3 | * * * * * 3840 * | 0 0 0 0 0 2 0 1 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x4o | 4 | 0 0 4 | * * * * * * 1440 | 0 0 0 0 0 0 4 0 2 | 0 0 0 2 0 2 4 1 | 0 1 2 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3o . . . ♦ 6 | 12 0 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 3 0 | 2 0 3 0 0 0 0 | * 1920 * * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 0 o3x . . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 0 | * * 3840 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3o3x . . ♦ 12 | 12 12 0 | 0 4 6 0 4 0 0 | * * * 960 * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3o . x . ♦ 6 | 6 0 3 | 0 2 0 3 0 0 0 | * * * * 3840 * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . x3x . ♦ 12 | 6 6 6 | 0 0 3 3 0 2 0 | * * * * * 3840 * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x4o ♦ 8 | 4 0 8 | 0 0 0 4 0 0 2 | * * * * * * 2880 * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . o3x3x . ♦ 12 | 0 12 6 | 0 0 0 0 4 4 0 | * * * * * * * 960 * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 0 0 8 6 | * * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 1 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3o3x . . ♦ 30 | 60 30 0 | 20 20 30 0 10 0 0 | 5 10 0 5 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 o3x3o . x . ♦ 12 | 24 0 6 | 8 8 0 12 0 0 0 | 2 0 4 0 4 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 o3x . x3x . ♦ 18 | 18 9 9 | 6 0 9 9 0 3 0 | 0 3 3 0 0 3 0 0 0 | * * 1280 * * * * * | 1 0 1 0 o3x . . x4o ♦ 12 | 12 0 12 | 4 0 0 12 0 0 3 | 0 0 4 0 0 0 3 0 0 | * * * 960 * * * * | 0 1 1 0 . x3o3x3x . ♦ 60 | 60 60 30 | 0 20 30 30 20 20 0 | 0 0 0 5 10 10 0 5 0 | * * * * 384 * * * | 1 0 0 1 . x3o . x4o ♦ 12 | 12 0 12 | 0 4 0 12 0 0 3 | 0 0 0 0 4 0 3 0 0 | * * * * * 960 * * | 0 1 0 1 . x . x3x4o ♦ 48 | 24 24 48 | 0 0 12 24 0 16 12 | 0 0 0 0 0 8 6 0 2 | * * * * * * 480 * | 0 0 1 1 . . o3x3x4o ♦ 96 | 0 96 96 | 0 0 0 0 32 64 24 | 0 0 0 0 0 0 0 16 8 | * * * * * * * 60 | 0 0 0 2 ------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3o3x3x . ♦ 180 | 360 180 90 | 120 120 180 180 60 60 0 | 30 60 60 30 60 60 0 15 0 | 6 15 20 0 6 0 0 0 | 64 * * * o3x3o . x4o ♦ 24 | 48 0 24 | 16 16 0 48 0 0 6 | 4 0 16 0 16 0 12 0 0 | 0 4 0 4 0 4 0 0 | * 240 * * o3x . x3x4o ♦ 72 | 72 36 72 | 24 0 36 72 0 24 18 | 0 12 24 0 0 24 18 0 3 | 0 0 8 6 0 0 3 0 | * * 160 * . x3o3x3x4o ♦ 960 | 960 960 960 | 0 320 480 960 320 640 240 | 0 0 0 80 320 320 240 160 80 | 0 0 0 0 32 80 40 10 | * * * 12
o3x3o3x3x4/3o o3o3o3o3o4/3o | 5760 | 4 2 2 | 2 2 4 8 1 4 1 | 1 2 4 2 4 8 4 2 2 | 1 2 4 2 4 2 4 1 | 2 1 2 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- . x . . . . | 2 | 11520 * * | 1 1 1 2 0 0 0 | 1 1 2 1 2 2 1 0 0 | 1 2 2 1 2 1 1 0 | 2 1 1 1 . . . x . . | 2 | * 5760 * | 0 0 2 0 1 2 0 | 0 1 0 2 0 4 0 2 1 | 1 0 2 0 4 0 2 1 | 2 0 1 2 . . . . x . | 2 | * * 5760 | 0 0 0 4 0 2 1 | 0 0 2 0 2 4 4 1 2 | 0 1 2 2 2 2 4 1 | 1 1 2 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x . . . . | 3 | 3 0 0 | 3840 * * * * * * | 1 1 2 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 2 1 1 0 . x3o . . . | 3 | 3 0 0 | * 3840 * * * * * | 1 0 0 1 2 0 0 0 0 | 1 2 0 0 2 1 0 0 | 2 1 0 1 . x . x . . | 4 | 2 2 0 | * * 5760 * * * * | 0 1 0 1 0 2 0 0 0 | 1 0 2 0 2 0 1 0 | 2 0 1 1 . x . . x . | 4 | 2 0 2 | * * * 11520 * * * | 0 0 1 0 1 1 1 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 . . o3x . . | 3 | 0 3 0 | * * * * 1920 * * | 0 0 0 2 0 0 0 2 0 | 1 0 0 0 4 0 0 1 | 2 0 0 2 . . . x3x . | 6 | 0 3 3 | * * * * * 3840 * | 0 0 0 0 0 2 0 1 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x4/3o | 4 | 0 0 4 | * * * * * * 1440 | 0 0 0 0 0 0 4 0 2 | 0 0 0 2 0 2 4 1 | 0 1 2 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3o . . . ♦ 6 | 12 0 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 3 0 | 2 0 3 0 0 0 0 | * 1920 * * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 0 o3x . . x . ♦ 6 | 6 0 3 | 2 0 0 3 0 0 0 | * * 3840 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 . x3o3x . . ♦ 12 | 12 12 0 | 0 4 6 0 4 0 0 | * * * 960 * * * * * | 1 0 0 0 2 0 0 0 | 2 0 0 1 . x3o . x . ♦ 6 | 6 0 3 | 0 2 0 3 0 0 0 | * * * * 3840 * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 . x . x3x . ♦ 12 | 6 6 6 | 0 0 3 3 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 0 4 0 0 2 | * * * * * * 2880 * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . o3x3x . ♦ 12 | 0 12 6 | 0 0 0 0 4 4 0 | * * * * * * * 960 * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . . x3x4/3o ♦ 24 | 0 12 24 | 0 0 0 0 0 8 6 | * * * * * * * * 480 | 0 0 0 0 0 0 2 1 | 0 0 1 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3o3x . . ♦ 30 | 60 30 0 | 20 20 30 0 10 0 0 | 5 10 0 5 0 0 0 0 0 | 192 * * * * * * * | 2 0 0 0 o3x3o . x . ♦ 12 | 24 0 6 | 8 8 0 12 0 0 0 | 2 0 4 0 4 0 0 0 0 | * 960 * * * * * * | 1 1 0 0 o3x . x3x . ♦ 18 | 18 9 9 | 6 0 9 9 0 3 0 | 0 3 3 0 0 3 0 0 0 | * * 1280 * * * * * | 1 0 1 0 o3x . . x4/3o ♦ 12 | 12 0 12 | 4 0 0 12 0 0 3 | 0 0 4 0 0 0 3 0 0 | * * * 960 * * * * | 0 1 1 0 . x3o3x3x . ♦ 60 | 60 60 30 | 0 20 30 30 20 20 0 | 0 0 0 5 10 10 0 5 0 | * * * * 384 * * * | 1 0 0 1 . x3o . x4/3o ♦ 12 | 12 0 12 | 0 4 0 12 0 0 3 | 0 0 0 0 4 0 3 0 0 | * * * * * 960 * * | 0 1 0 1 . x . x3x4/3o ♦ 48 | 24 24 48 | 0 0 12 24 0 16 12 | 0 0 0 0 0 8 6 0 2 | * * * * * * 480 * | 0 0 1 1 . . o3x3x4/3o ♦ 96 | 0 96 96 | 0 0 0 0 32 64 24 | 0 0 0 0 0 0 0 16 8 | * * * * * * * 60 | 0 0 0 2 --------------+------+-----------------+-------------------------------------+------------------------------------------+---------------------------------+-------------- o3x3o3x3x . ♦ 180 | 360 180 90 | 120 120 180 180 60 60 0 | 30 60 60 30 60 60 0 15 0 | 6 15 20 0 6 0 0 0 | 64 * * * o3x3o . x4/3o ♦ 24 | 48 0 24 | 16 16 0 48 0 0 6 | 4 0 16 0 16 0 12 0 0 | 0 4 0 4 0 4 0 0 | * 240 * * o3x . x3x4/3o ♦ 72 | 72 36 72 | 24 0 36 72 0 24 18 | 0 12 24 0 0 24 18 0 3 | 0 0 8 6 0 0 3 0 | * * 160 * . x3o3x3x4/3o ♦ 960 | 960 960 960 | 0 320 480 960 320 640 240 | 0 0 0 80 320 320 240 160 80 | 0 0 0 0 32 80 40 10 | * * * 12
x3x3x *b3o3x3o o3o3o *b3o3o3o | 5760 | 1 2 1 4 | 2 1 4 2 1 4 4 2 2 | 2 1 4 4 2 2 1 4 2 2 2 2 1 | 1 4 2 2 2 2 1 2 2 1 1 | 2 2 1 1 1 ---------------+------+----------------------+----------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x . . . . . | 2 | 2880 * * * | 2 1 4 0 0 0 0 0 0 | 2 1 4 4 2 2 0 0 0 0 0 0 0 | 1 4 2 2 2 2 1 0 0 0 0 | 2 2 1 1 0 . x . . . . | 2 | * 5760 * * | 1 0 0 1 1 2 0 0 0 | 1 1 2 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 | * * 2880 * | 0 1 0 2 0 0 4 0 0 | 2 0 0 4 0 0 1 4 0 0 2 2 0 | 1 4 0 0 2 2 0 2 2 0 1 | 2 2 0 1 1 . . . . x . | 2 | * * * 11520 | 0 0 1 0 0 1 1 1 1 | 0 0 1 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 | 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 0 2 0 | * 1440 * * * * * * * | 2 0 0 4 0 0 0 0 0 0 0 0 0 | 1 4 0 0 2 2 0 0 0 0 0 | 2 2 0 1 0 x . . . x . | 4 | 2 0 0 2 | * * 5760 * * * * * * | 0 0 1 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 | * * * 1920 * * * * * | 1 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 . *b3o . . | 3 | 0 3 0 0 | * * * * 1920 * * * * | 0 1 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 2 | * * * * * 5760 * * * | 0 0 1 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 | * * * * * * 5760 * * | 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 . . . o3x . | 3 | 0 0 0 3 | * * * * * * * 3840 * | 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 . . . . x3o | 3 | 0 0 0 3 | * * * * * * * * 3840 | 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 | 4 6 0 4 0 0 0 0 0 | 480 * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x3x . *b3o . . ♦ 12 | 6 12 0 0 | 4 0 0 0 4 0 0 0 0 | * 480 * * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 x3x . . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 0 3 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 0 4 4 | 0 2 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 . . o3x . ♦ 6 | 3 0 0 6 | 0 0 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 3 0 0 0 0 0 2 | * * * * * 1920 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x *b3o . . ♦ 12 | 0 12 6 0 | 0 0 0 4 4 0 0 0 0 | * * * * * * 480 * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . x3x . x . ♦ 12 | 0 6 6 6 | 0 0 0 2 0 3 3 0 0 | * * * * * * * 1920 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . *b3o3x . ♦ 12 | 0 12 0 12 | 0 0 0 0 4 6 0 4 0 | * * * * * * * * 960 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 0 3 0 0 2 | * * * * * * * * * 1920 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x o3x . ♦ 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 0 | * * * * * * * * * * 1920 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x3o ♦ 6 | 0 0 3 6 | 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 . . . o3x3o ♦ 6 | 0 0 0 12 | 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 ---------------+------+----------------------+----------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x3x3x *b3o . . ♦ 96 | 48 96 48 0 | 32 24 0 32 32 0 0 0 0 | 8 8 0 0 0 0 8 0 0 0 0 0 0 | 60 * * * * * * * * * * | 2 0 0 0 0 x3x3x . x . ♦ 48 | 24 24 24 24 | 8 12 12 8 0 12 12 0 0 | 2 0 4 6 0 0 0 4 0 0 0 0 0 | * 480 * * * * * * * * * | 1 1 0 0 0 x3x . *b3o3x . ♦ 60 | 30 60 0 60 | 20 0 30 0 20 30 0 20 0 | 0 5 10 0 10 0 0 0 5 0 0 0 0 | * * 192 * * * * * * * * | 1 0 1 0 0 x3x . . x3o ♦ 18 | 9 9 0 18 | 3 0 9 0 0 9 0 0 6 | 0 0 3 0 0 3 0 0 0 3 0 0 0 | * * * 640 * * * * * * * | 0 1 1 0 0 x . x o3x . ♦ 12 | 6 0 6 12 | 0 3 6 0 0 0 6 4 0 | 0 0 0 3 2 0 0 0 0 0 2 0 0 | * * * * 960 * * * * * * | 1 0 0 1 0 x . x . x3o ♦ 12 | 6 0 6 12 | 0 3 6 0 0 0 6 0 4 | 0 0 0 3 0 2 0 0 0 0 0 2 0 | * * * * * 960 * * * * * | 0 1 0 1 0 x . . o3x3o ♦ 12 | 6 0 0 24 | 0 0 12 0 0 0 0 8 8 | 0 0 0 0 4 4 0 0 0 0 0 0 2 | * * * * * * 480 * * * * | 0 0 1 1 0 . x3x *b3o3x . ♦ 60 | 0 60 30 60 | 0 0 0 20 20 30 30 20 0 | 0 0 0 0 0 0 5 10 5 0 10 0 0 | * * * * * * * 192 * * * | 1 0 0 0 1 . x3x . x3o ♦ 18 | 0 9 9 18 | 0 0 0 3 0 9 9 0 6 | 0 0 0 0 0 0 0 3 0 3 0 3 0 | * * * * * * * * 640 * * | 0 1 0 0 1 . x . *b3o3x3o ♦ 30 | 0 30 0 60 | 0 0 0 0 10 30 0 20 20 | 0 0 0 0 0 0 0 0 5 10 0 0 5 | * * * * * * * * * 192 * | 0 0 1 0 1 . . x o3x3o ♦ 12 | 0 0 6 24 | 0 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * * 480 | 0 0 0 1 1 ---------------+------+----------------------+----------------------------------------------+-------------------------------------------------------------+--------------------------------------------+----------------- x3x3x *b3o3x . ♦ 960 | 480 960 480 960 | 320 240 480 320 320 480 480 320 0 | 80 80 160 240 160 0 80 160 80 0 160 0 0 | 10 40 16 0 80 0 0 16 0 0 0 | 12 * * * * x3x3x . x3o ♦ 72 | 36 36 36 72 | 12 18 36 12 0 36 36 0 24 | 3 0 12 18 0 12 0 12 0 12 0 12 0 | 0 3 0 4 0 6 0 0 4 0 0 | * 160 * * * x3x . *b3o3x3o ♦ 180 | 90 180 0 360 | 60 0 180 0 60 180 0 120 120 | 0 15 60 0 60 60 0 0 30 60 0 0 30 | 0 0 6 20 0 0 15 0 0 6 0 | * * 32 * * x . x o3x3o ♦ 24 | 12 0 12 48 | 0 6 24 0 0 0 24 16 16 | 0 0 0 12 8 8 0 0 0 0 8 8 4 | 0 0 0 0 4 4 2 0 0 0 2 | * * * 240 * . x3x *b3o3x3o ♦ 180 | 0 180 90 360 | 0 0 0 60 60 180 180 120 120 | 0 0 0 0 0 0 15 60 30 60 60 60 30 | 0 0 0 0 0 0 0 6 20 6 15 | * * * * 32
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