tritruncated hexeract,
tritruncated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | xog |
| Name |
hexeractihexacontatetrapeton, tritruncated hexeract, tritruncated hexacross |
| Circumradius | sqrt(13/2) = 2.549510 |
| Coordinates | (sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign |
| Face vector | 960, 3360, 4160, 2320, 636, 76 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3x3x3o4o . . . . . . | 960 | 3 4 | 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ------------+-----+-----------+---------------+-----------------+------------+------ . . x . . . | 2 | 1440 * | 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x . . | 2 | * 1920 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------+-----+-----------+---------------+-----------------+------------+------ . o3x . . . | 3 | 3 0 | 960 * * | 1 4 0 0 | 4 4 0 | 4 1 . . x3x . . | 6 | 3 3 | * 1920 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 1280 | 0 0 3 1 | 0 3 3 | 1 3 ------------+-----+-----------+---------------+-----------------+------------+------ o3o3x . . . ♦ 4 | 6 0 | 4 0 0 | 240 * * * | 4 0 0 | 4 0 . o3x3x . . ♦ 12 | 12 6 | 4 4 0 | * 960 * * | 1 2 0 | 2 1 . . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * * 960 * | 0 2 1 | 1 2 . . . x3o4o ♦ 6 | 0 12 | 0 0 8 | * * * 160 | 0 0 3 | 0 3 ------------+-----+-----------+---------------+-----------------+------------+------ o3o3x3x . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 | 192 * * | 2 0 . o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * 384 * | 1 1 . . x3x3o4o ♦ 48 | 24 96 | 0 32 64 | 0 0 16 8 | * * 60 | 0 2 ------------+-----+-----------+---------------+-----------------+------------+------ o3o3x3x3o . ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 6 6 0 | 64 * . o3x3x3o4o ♦ 240 | 240 480 | 80 320 320 | 0 80 160 40 | 0 32 10 | * 12
o3o3x3x3o4/3o . . . . . . | 960 | 3 4 | 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 --------------+-----+-----------+---------------+-----------------+------------+------ . . x . . . | 2 | 1440 * | 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x . . | 2 | * 1920 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 --------------+-----+-----------+---------------+-----------------+------------+------ . o3x . . . | 3 | 3 0 | 960 * * | 1 4 0 0 | 4 4 0 | 4 1 . . x3x . . | 6 | 3 3 | * 1920 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 1280 | 0 0 3 1 | 0 3 3 | 1 3 --------------+-----+-----------+---------------+-----------------+------------+------ o3o3x . . . ♦ 4 | 6 0 | 4 0 0 | 240 * * * | 4 0 0 | 4 0 . o3x3x . . ♦ 12 | 12 6 | 4 4 0 | * 960 * * | 1 2 0 | 2 1 . . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * * 960 * | 0 2 1 | 1 2 . . . x3o4/3o ♦ 6 | 0 12 | 0 0 8 | * * * 160 | 0 0 3 | 0 3 --------------+-----+-----------+---------------+-----------------+------------+------ o3o3x3x . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 | 192 * * | 2 0 . o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * 384 * | 1 1 . . x3x3o4/3o ♦ 48 | 24 96 | 0 32 64 | 0 0 16 8 | * * 60 | 0 2 --------------+-----+-----------+---------------+-----------------+------------+------ o3o3x3x3o . ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 6 6 0 | 64 * . o3x3x3o4/3o ♦ 240 | 240 480 | 80 320 320 | 0 80 160 40 | 0 32 10 | * 12
o3x3o *b3x3o3o . . . . . . | 960 | 4 3 | 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 ---------------+-----+-----------+------------------+---------------------+----------------+--------- . x . . . . | 2 | 1920 * | 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . x . . | 2 | * 1440 | 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 ---------------+-----+-----------+------------------+---------------------+----------------+--------- o3x . . . . | 3 | 3 0 | 640 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . x3o . . . | 3 | 3 0 | * 640 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . x . *b3x . . | 6 | 3 3 | * * 1920 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o . | 3 | 0 3 | * * * 960 | 0 0 0 1 4 | 0 2 2 4 | 1 2 2 ---------------+-----+-----------+------------------+---------------------+----------------+--------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 | 160 * * * * | 3 0 0 0 | 3 0 0 o3x . *b3x . . ♦ 12 | 12 6 | 4 0 4 0 | * 480 * * * | 1 2 0 0 | 2 1 0 . x3o *b3x . . ♦ 12 | 12 6 | 0 4 4 0 | * * 480 * * | 1 0 2 0 | 2 0 1 . x . *b3x3o . ♦ 12 | 6 12 | 0 0 4 4 | * * * 960 * | 0 1 1 1 | 1 1 1 . . . x3o3o ♦ 4 | 0 6 | 0 0 0 4 | * * * * 240 | 0 0 0 4 | 0 2 2 ---------------+-----+-----------+------------------+---------------------+----------------+--------- o3x3o *b3x . . ♦ 48 | 96 24 | 32 32 32 0 | 8 8 8 0 0 | 60 * * * | 2 0 0 o3x . *b3x3o . ♦ 30 | 30 30 | 10 0 20 10 | 0 5 0 5 0 | * 192 * * | 1 1 0 . x3o *b3x3o . ♦ 30 | 30 30 | 0 10 20 10 | 0 0 5 5 0 | * * 192 * | 1 0 1 . x . *b3x3o3o ♦ 20 | 10 30 | 0 0 10 20 | 0 0 0 5 5 | * * * 192 | 0 1 1 ---------------+-----+-----------+------------------+---------------------+----------------+--------- o3x3o *b3x3o . ♦ 240 | 480 240 | 160 160 320 80 | 40 80 80 80 0 | 10 16 16 0 | 12 * * o3x . *b3x3o3o ♦ 60 | 60 90 | 20 0 60 60 | 0 15 0 30 15 | 0 6 0 6 | * 32 * . x3o *b3x3o3o ♦ 60 | 60 90 | 0 20 60 60 | 0 0 15 30 15 | 0 0 6 6 | * * 32
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