bicantitruncated hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | gaborx |
| Name |
great birhombated hexeract, bicantitruncated hexeract |
| Circumradius | 4 |
| Coordinates | (3/sqrt(2), 3/sqrt(2), 3/sqrt(2), sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Face vector | 3840, 11520, 13760, 8320, 2556, 316 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3x3x3x4o o3o3o3o3o4o | 3840 | 3 1 2 | 3 3 6 2 1 | 1 3 6 6 3 1 | 1 2 6 3 3 | 2 1 3 ------------+------+----------------+-------------------------+---------------------------+--------------------+---------- . . x . . . | 2 | 5760 * * | 2 1 2 0 0 | 1 2 4 2 1 0 | 1 2 4 2 1 | 2 1 2 . . . x . . | 2 | * 1920 * | 0 3 0 2 0 | 0 3 0 6 0 1 | 1 0 6 0 3 | 2 0 3 . . . . x . | 2 | * * 3840 | 0 0 3 1 1 | 0 0 3 3 3 1 | 0 1 3 3 3 | 1 1 3 ------------+------+----------------+-------------------------+---------------------------+--------------------+---------- . o3x . . . | 3 | 3 0 0 | 3840 * * * * | 1 1 2 0 0 0 | 1 2 2 1 0 | 2 1 1 . . x3x . . | 6 | 3 3 0 | * 1920 * * * | 0 2 0 2 0 0 | 1 0 4 0 1 | 2 0 2 . . x . x . | 4 | 2 0 2 | * * 5760 * * | 0 0 2 1 1 0 | 0 1 2 2 1 | 1 1 2 . . . x3x . | 6 | 0 3 3 | * * * 1280 * | 0 0 0 3 0 1 | 0 0 3 0 3 | 1 0 3 . . . . x4o | 4 | 0 0 4 | * * * * 960 | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3 ------------+------+----------------+-------------------------+---------------------------+--------------------+---------- o3o3x . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 | 960 * * * * * | 1 2 0 0 0 | 2 1 0 . o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | * 960 * * * * | 1 0 2 0 0 | 2 0 1 . o3x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 | * * 3840 * * * | 0 1 1 1 0 | 1 1 1 . . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * * 960 * * | 0 0 2 0 1 | 1 0 2 . . x . x4o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * * 1440 * | 0 0 0 2 1 | 0 1 2 . . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * * 160 | 0 0 0 0 3 | 0 0 3 ------------+------+----------------+-------------------------+---------------------------+--------------------+---------- o3o3x3x . . ♦ 20 | 30 10 0 | 20 10 0 0 0 | 5 5 0 0 0 0 | 192 * * * * | 2 0 0 o3o3x . x . ♦ 8 | 12 0 4 | 8 0 6 0 0 | 2 0 4 0 0 0 | * 960 * * * | 1 1 0 . o3x3x3x . ♦ 60 | 60 30 30 | 20 20 30 10 0 | 0 5 10 5 0 0 | * * 384 * * | 1 0 1 . o3x . x4o ♦ 12 | 12 0 12 | 4 0 12 0 3 | 0 0 4 0 3 0 | * * * 960 * | 0 1 1 . . x3x3x4o ♦ 192 | 96 96 192 | 0 32 96 64 48 | 0 0 0 16 24 8 | * * * * 60 | 0 0 2 ------------+------+----------------+-------------------------+---------------------------+--------------------+---------- o3o3x3x3x . ♦ 120 | 180 60 60 | 120 60 90 20 0 | 30 30 60 15 0 0 | 6 15 6 0 0 | 64 * * o3o3x . x4o ♦ 16 | 24 0 16 | 16 0 24 0 4 | 4 0 16 0 6 0 | 0 4 0 4 0 | * 240 * . o3x3x3x4o ♦ 960 | 960 480 960 | 320 320 960 320 240 | 0 80 320 160 240 40 | 0 0 32 80 10 | * * 12
o3o3x3x3x4/3o o3o3o3o3o4/3o | 3840 | 3 1 2 | 3 3 6 2 1 | 1 3 6 6 3 1 | 1 2 6 3 3 | 2 1 3 --------------+------+----------------+-------------------------+---------------------------+--------------------+---------- . . x . . . | 2 | 5760 * * | 2 1 2 0 0 | 1 2 4 2 1 0 | 1 2 4 2 1 | 2 1 2 . . . x . . | 2 | * 1920 * | 0 3 0 2 0 | 0 3 0 6 0 1 | 1 0 6 0 3 | 2 0 3 . . . . x . | 2 | * * 3840 | 0 0 3 1 1 | 0 0 3 3 3 1 | 0 1 3 3 3 | 1 1 3 --------------+------+----------------+-------------------------+---------------------------+--------------------+---------- . o3x . . . | 3 | 3 0 0 | 3840 * * * * | 1 1 2 0 0 0 | 1 2 2 1 0 | 2 1 1 . . x3x . . | 6 | 3 3 0 | * 1920 * * * | 0 2 0 2 0 0 | 1 0 4 0 1 | 2 0 2 . . x . x . | 4 | 2 0 2 | * * 5760 * * | 0 0 2 1 1 0 | 0 1 2 2 1 | 1 1 2 . . . x3x . | 6 | 0 3 3 | * * * 1280 * | 0 0 0 3 0 1 | 0 0 3 0 3 | 1 0 3 . . . . x4/3o | 4 | 0 0 4 | * * * * 960 | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3 --------------+------+----------------+-------------------------+---------------------------+--------------------+---------- o3o3x . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 | 960 * * * * * | 1 2 0 0 0 | 2 1 0 . o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | * 960 * * * * | 1 0 2 0 0 | 2 0 1 . o3x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 | * * 3840 * * * | 0 1 1 1 0 | 1 1 1 . . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * * 960 * * | 0 0 2 0 1 | 1 0 2 . . x . x4/3o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * * 1440 * | 0 0 0 2 1 | 0 1 2 . . . x3x4/3o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * * 160 | 0 0 0 0 3 | 0 0 3 --------------+------+----------------+-------------------------+---------------------------+--------------------+---------- o3o3x3x . . ♦ 20 | 30 10 0 | 20 10 0 0 0 | 5 5 0 0 0 0 | 192 * * * * | 2 0 0 o3o3x . x . ♦ 8 | 12 0 4 | 8 0 6 0 0 | 2 0 4 0 0 0 | * 960 * * * | 1 1 0 . o3x3x3x . ♦ 60 | 60 30 30 | 20 20 30 10 0 | 0 5 10 5 0 0 | * * 384 * * | 1 0 1 . o3x . x4/3o ♦ 12 | 12 0 12 | 4 0 12 0 3 | 0 0 4 0 3 0 | * * * 960 * | 0 1 1 . . x3x3x4/3o ♦ 192 | 96 96 192 | 0 32 96 64 48 | 0 0 0 16 24 8 | * * * * 60 | 0 0 2 --------------+------+----------------+-------------------------+---------------------------+--------------------+---------- o3o3x3x3x . ♦ 120 | 180 60 60 | 120 60 90 20 0 | 30 30 60 15 0 0 | 6 15 6 0 0 | 64 * * o3o3x . x4/3o ♦ 16 | 24 0 16 | 16 0 24 0 4 | 4 0 16 0 6 0 | 0 4 0 4 0 | * 240 * . o3x3x3x4/3o ♦ 960 | 960 480 960 | 320 320 960 320 240 | 0 80 320 160 240 40 | 0 0 32 80 10 | * * 12
x3x3x *b3x3o3o o3o3o *b3o3o3o | 3840 | 1 1 1 3 | 1 1 3 1 3 3 3 | 1 3 3 3 3 3 3 1 | 3 3 3 1 3 1 1 | 3 1 1 1 ---------------+------+---------------------+---------------------------------+------------------------------------+----------------------------+------------- x . . . . . | 2 | 1920 * * * | 1 1 3 0 0 0 0 | 1 3 3 3 0 0 0 0 | 3 3 3 1 0 0 0 | 3 1 1 0 . x . . . . | 2 | * 1920 * * | 1 0 0 1 3 0 0 | 1 3 0 0 3 3 0 0 | 3 3 0 0 3 1 0 | 3 1 0 1 . . x . . . | 2 | * * 1920 * | 0 1 0 1 0 3 0 | 1 0 3 0 3 0 3 0 | 3 0 3 0 3 0 1 | 3 0 1 1 . . . x . . | 2 | * * * 5760 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ---------------+------+---------------------+---------------------------------+------------------------------------+----------------------------+------------- x3x . . . . | 6 | 3 3 0 0 | 640 * * * * * * | 1 3 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 960 * * * * * | 1 0 3 0 0 0 0 0 | 3 0 3 0 0 0 0 | 3 0 1 0 x . . x . . | 4 | 2 0 0 2 | * * 2880 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x3x . . . | 6 | 0 3 3 0 | * * * 640 * * * | 1 0 0 0 3 0 0 0 | 3 0 0 0 3 0 0 | 3 0 0 1 . x . *b3x . . | 6 | 0 3 0 3 | * * * * 1920 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x x . . | 4 | 0 0 2 2 | * * * * * 2880 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x3o . | 3 | 0 0 0 3 | * * * * * * 3840 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ---------------+------+---------------------+---------------------------------+------------------------------------+----------------------------+------------- x3x3x . . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 160 * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0 x3x . *b3x . . ♦ 24 | 12 12 0 12 | 4 0 6 0 4 0 0 | * 480 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x x . . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 | * * 1440 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x3o . ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 1920 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x *b3x . . ♦ 24 | 0 12 12 12 | 0 0 0 4 4 6 0 | * * * * 480 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . *b3x3o . ♦ 12 | 0 6 0 12 | 0 0 0 0 4 0 4 | * * * * * 960 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x x3o . ♦ 6 | 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * 1920 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o3o ♦ 4 | 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * 960 | 0 0 0 1 0 1 1 | 0 1 1 1 ---------------+------+---------------------+---------------------------------+------------------------------------+----------------------------+------------- x3x3x *b3x . . ♦ 192 | 96 96 96 96 | 32 48 48 32 32 48 0 | 8 8 24 0 8 0 0 0 | 60 * * * * * * | 2 0 0 0 x3x . *b3x3o . ♦ 60 | 30 30 0 60 | 10 0 30 0 20 0 20 | 0 5 0 10 0 5 0 0 | * 192 * * * * * | 1 1 0 0 x . x x3o . ♦ 12 | 6 0 6 12 | 0 3 6 0 0 6 4 | 0 0 3 2 0 0 2 0 | * * 960 * * * * | 1 0 1 0 x . . x3o3o ♦ 8 | 4 0 0 12 | 0 0 6 0 0 0 8 | 0 0 0 4 0 0 0 2 | * * * 480 * * * | 0 1 1 0 . x3x *b3x3o . ♦ 60 | 0 30 30 60 | 0 0 0 10 20 30 20 | 0 0 0 0 5 5 10 0 | * * * * 192 * * | 1 0 0 1 . x . *b3x3o3o ♦ 20 | 0 10 0 30 | 0 0 0 0 10 0 20 | 0 0 0 0 0 5 0 5 | * * * * * 192 * | 0 1 0 1 . . x x3o3o ♦ 8 | 0 0 4 12 | 0 0 0 0 0 6 8 | 0 0 0 0 0 0 4 2 | * * * * * * 480 | 0 0 1 1 ---------------+------+---------------------+---------------------------------+------------------------------------+----------------------------+------------- x3x3x *b3x3o . ♦ 960 | 480 480 480 960 | 160 240 480 160 320 480 320 | 40 80 240 160 80 80 160 0 | 10 16 80 0 16 0 0 | 12 * * * x3x . *b3x3o3o ♦ 120 | 60 60 0 180 | 20 0 90 0 60 0 120 | 0 15 0 60 0 30 0 30 | 0 6 0 15 0 6 0 | * 32 * * x . x x3o3o ♦ 16 | 8 0 8 24 | 0 4 12 0 0 12 16 | 0 0 6 8 0 0 8 4 | 0 0 4 2 0 0 2 | * * 240 * . x3x *b3x3o3o ♦ 120 | 0 60 60 180 | 0 0 0 20 60 90 120 | 0 0 0 0 15 30 60 30 | 0 0 0 0 6 6 15 | * * * 32
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