bitruncated heptacross
- general polytopal classes:
- Wythoffian polyexa
links
| Acronym | botaz |
| Name |
bitruncated hecatonicosoctaexon, bitruncated heptacross |
| Circumradius | 3/sqrt(2) = 2.121320 |
| Coordinates | (2/sqrt(2), 2/sqrt(2), 1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign |
| Face vector | 840, 4200, 9240, 10640, 6048, 1428, 142 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3x3o3o3o4o . . . . . . . | 840 | 2 8 | 1 16 24 | 8 48 32 | 24 64 16 | 32 32 1 | 16 2 --------------+-----+----------+---------------+---------------+---------------+------------+------- . x . . . . . | 2 | 840 * | 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 . . x . . . . | 2 | * 3360 | 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 --------------+-----+----------+---------------+---------------+---------------+------------+------- o3x . . . . . | 3 | 3 0 | 280 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 . x3x . . . . | 6 | 3 3 | * 2240 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o . . . | 3 | 0 3 | * * 6720 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 --------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x . . . . ♦ 12 | 12 6 | 4 4 0 | 560 * * ♦ 6 0 0 | 12 0 0 | 8 0 . x3x3o . . . ♦ 12 | 6 12 | 0 4 4 | * 3360 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * 6720 | 0 2 2 | 1 4 1 | 2 2 --------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x3o . . . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 672 * * | 4 0 0 | 4 0 . x3x3o3o . . ♦ 20 | 10 30 | 0 10 20 | 0 5 5 | * 2688 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 2688 | 0 2 1 | 1 2 --------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x3o3o . . ♦ 60 | 60 90 | 20 60 60 | 15 30 15 | 6 6 0 | 448 * * | 2 0 . x3x3o3o3o . ♦ 30 | 15 60 | 0 20 60 | 0 15 30 | 0 6 6 | * 896 * | 1 1 . . x3o3o3o4o ♦ 10 | 0 40 | 0 0 80 | 0 0 80 | 0 0 32 | * * 84 | 0 2 --------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x3o3o3o . ♦ 105 | 105 210 | 35 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 128 * . x3x3o3o3o4o ♦ 120 | 60 480 | 0 160 960 | 0 240 960 | 0 192 384 | 0 64 12 | * 14
o3x3x3o3o3o4/3o . . . . . . . | 840 | 2 8 | 1 16 24 | 8 48 32 | 24 64 16 | 32 32 1 | 16 2 ----------------+-----+----------+---------------+---------------+---------------+------------+------- . x . . . . . | 2 | 840 * | 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 . . x . . . . | 2 | * 3360 | 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 ----------------+-----+----------+---------------+---------------+---------------+------------+------- o3x . . . . . | 3 | 3 0 | 280 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 . x3x . . . . | 6 | 3 3 | * 2240 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o . . . | 3 | 0 3 | * * 6720 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 ----------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x . . . . ♦ 12 | 12 6 | 4 4 0 | 560 * * ♦ 6 0 0 | 12 0 0 | 8 0 . x3x3o . . . ♦ 12 | 6 12 | 0 4 4 | * 3360 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * 6720 | 0 2 2 | 1 4 1 | 2 2 ----------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x3o . . . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 672 * * | 4 0 0 | 4 0 . x3x3o3o . . ♦ 20 | 10 30 | 0 10 20 | 0 5 5 | * 2688 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 2688 | 0 2 1 | 1 2 ----------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x3o3o . . ♦ 60 | 60 90 | 20 60 60 | 15 30 15 | 6 6 0 | 448 * * | 2 0 . x3x3o3o3o . ♦ 30 | 15 60 | 0 20 60 | 0 15 30 | 0 6 6 | * 896 * | 1 1 . . x3o3o3o4/3o ♦ 10 | 0 40 | 0 0 80 | 0 0 80 | 0 0 32 | * * 84 | 0 2 ----------------+-----+----------+---------------+---------------+---------------+------------+------- o3x3x3o3o3o . ♦ 105 | 105 210 | 35 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 128 * . x3x3o3o3o4/3o ♦ 120 | 60 480 | 0 160 960 | 0 240 960 | 0 192 384 | 0 64 12 | * 14
o3o3o *b3o3x3x3o . . . . . . . | 840 | 8 2 | 24 16 1 | 32 48 8 | 8 8 64 24 | 1 16 16 32 | 2 8 8 -----------------+-----+----------+---------------+---------------+--------------------+----------------+--------- . . . . x . . | 2 | 3360 * | 6 2 0 | 12 12 1 | 4 4 24 6 | 1 8 8 12 | 2 4 4 . . . . . x . | 2 | * 840 | 0 8 1 | 0 24 8 | 0 0 32 24 | 0 8 8 32 | 1 8 8 -----------------+-----+----------+---------------+---------------+--------------------+----------------+--------- . . . o3x . . | 3 | 3 0 | 6720 * * | 4 2 0 | 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . x3x . | 6 | 3 3 | * 2240 * | 0 6 1 | 0 0 12 6 | 0 4 4 12 | 1 4 4 . . . . . x3o | 3 | 0 3 | * * 280 ♦ 0 0 8 | 0 0 0 24 | 0 0 0 32 | 0 8 8 -----------------+-----+----------+---------------+---------------+--------------------+----------------+--------- . o . *b3o3x . . ♦ 4 | 6 0 | 4 0 0 | 6720 * * | 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . o3x3x . ♦ 12 | 12 6 | 4 4 0 | * 3360 * | 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . x3x3o ♦ 12 | 6 12 | 0 4 4 | * * 560 ♦ 0 0 0 6 | 0 0 0 12 | 0 4 4 -----------------+-----+----------+---------------+---------------+--------------------+----------------+--------- o3o . *b3o3x . . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 | 1344 * * * | 1 2 0 0 | 2 1 0 . o3o *b3o3x . . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 | * 1344 * * | 1 0 2 0 | 2 0 1 . o . *b3o3x3x . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 | * * 2688 * | 0 1 1 1 | 1 1 1 . . . o3x3x3o ♦ 30 | 30 30 | 10 20 10 | 0 5 5 | * * * 672 | 0 0 0 4 | 0 2 2 -----------------+-----+----------+---------------+---------------+--------------------+----------------+--------- o3o3o *b3o3x . . ♦ 10 | 40 0 | 80 0 0 | 80 0 0 | 16 16 0 0 | 84 * * * | 2 0 0 o3o . *b3o3x3x . ♦ 30 | 60 15 | 60 20 0 | 30 15 0 | 6 0 6 0 | * 448 * * | 1 1 0 . o3o *b3o3x3x . ♦ 30 | 60 15 | 60 20 0 | 30 15 0 | 0 6 6 0 | * * 448 * | 1 0 1 . o . *b3o3x3x3o ♦ 60 | 90 60 | 60 60 20 | 15 30 15 | 0 0 6 6 | * * * 448 | 0 1 1 -----------------+-----+----------+---------------+---------------+--------------------+----------------+--------- o3o3o *b3o3x3x . ♦ 120 | 480 60 | 960 160 0 | 960 240 0 | 192 192 192 0 | 12 32 32 0 | 14 * * o3o . *b3o3x3x3o ♦ 105 | 210 105 | 210 140 35 | 105 105 35 | 21 0 42 21 | 0 7 0 7 | * 64 * . o3o *b3o3x3x3o ♦ 105 | 210 105 | 210 140 35 | 105 105 35 | 0 21 42 21 | 0 0 7 7 | * * 64
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