runcinated enneazetton
- general polytopal classes:
- Wythoffian polyzetta
links
| Acronym | spene |
| Name |
small prismated enneazetton, runcinated enneazetton |
| Circumradius | sqrt(19)/3 = 1.452966 |
| Face vector | 504, 4536, 11844, 14616, 10374, 4620, 1188, 138 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o3x3o3o3o3o . . . . . . . . | 504 | 3 15 | 3 30 15 30 | 1 15 15 60 5 30 30 | 5 30 30 60 10 30 15 | 10 30 30 30 10 15 3 | 10 15 15 6 5 3 | 5 3 3 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x . . . . . . . | 2 | 756 * | 2 10 0 0 | 1 10 5 20 0 0 0 | 5 20 10 20 0 0 0 | 10 20 10 10 0 0 0 | 10 10 5 2 0 0 | 5 2 1 0 . . . x . . . . | 2 | * 3780 | 0 2 2 4 | 0 1 2 8 1 8 6 | 1 4 8 12 4 12 4 | 4 6 12 8 6 8 1 | 6 4 8 2 4 2 | 4 1 2 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x3o . . . . . . | 3 | 3 0 | 504 * * * | 1 5 0 0 0 0 0 | 5 10 0 0 0 0 0 | 10 10 0 0 0 0 0 | 10 5 0 0 0 0 | 5 1 0 0 x . . x . . . . | 4 | 2 2 | * 3780 * * | 0 1 1 4 0 0 0 | 1 4 4 6 0 0 0 | 4 6 6 4 0 0 0 | 6 4 4 1 0 0 | 4 1 1 0 . . o3x . . . . | 3 | 0 3 | * * 2520 * | 0 0 1 0 1 4 0 | 1 0 4 0 4 6 0 | 4 0 6 0 6 4 0 | 6 0 4 0 4 1 | 4 0 1 1 . . . x3o . . . | 3 | 0 3 | * * * 5040 | 0 0 0 2 0 2 3 | 0 1 2 6 1 6 3 | 1 3 6 6 3 6 1 | 3 3 6 2 3 2 | 3 1 2 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 0 | 126 * * * * * * ♦ 5 0 0 0 0 0 0 | 10 0 0 0 0 0 0 | 10 0 0 0 0 0 | 5 0 0 0 x3o . x . . . . ♦ 6 | 6 3 | 2 3 0 0 | * 1260 * * * * * | 1 4 0 0 0 0 0 | 4 6 0 0 0 0 0 | 6 4 0 0 0 0 | 4 1 0 0 x . o3x . . . . ♦ 6 | 3 6 | 0 3 2 0 | * * 1260 * * * * | 1 0 4 0 0 0 0 | 4 0 6 0 0 0 0 | 6 0 4 0 0 0 | 4 0 1 0 x . . x3o . . . ♦ 6 | 3 6 | 0 3 0 2 | * * * 5040 * * * | 0 1 1 3 0 0 0 | 1 3 3 3 0 0 0 | 3 3 3 1 0 0 | 3 1 1 0 . o3o3x . . . . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 630 * * | 1 0 0 0 4 0 0 | 4 0 0 0 6 0 0 | 6 0 0 0 4 0 | 4 0 0 1 . . o3x3o . . . ♦ 6 | 0 12 | 0 0 4 4 | * * * * * 2520 * | 0 0 1 0 1 3 0 | 1 0 3 0 3 3 0 | 3 0 3 0 3 1 | 3 0 1 1 . . . x3o3o . . ♦ 4 | 0 6 | 0 0 0 4 | * * * * * * 3780 | 0 0 0 2 0 2 2 | 0 1 2 4 1 4 1 | 1 2 4 2 2 2 | 2 1 2 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x3o3o3x . . . . ♦ 20 | 30 30 | 20 30 20 0 | 5 10 10 0 5 0 0 | 126 * * * * * * ♦ 4 0 0 0 0 0 0 | 6 0 0 0 0 0 | 4 0 0 0 x3o . x3o . . . ♦ 9 | 9 9 | 3 9 0 3 | 0 3 0 3 0 0 0 | * 1680 * * * * * | 1 3 0 0 0 0 0 | 3 3 0 0 0 0 | 3 1 0 0 x . o3x3o . . . ♦ 12 | 6 24 | 0 12 8 8 | 0 0 4 4 0 2 0 | * * 1260 * * * * | 1 0 3 0 0 0 0 | 3 0 3 0 0 0 | 3 0 1 0 x . . x3o3o . . ♦ 8 | 4 12 | 0 6 0 8 | 0 0 0 4 0 0 2 | * * * 3780 * * * | 0 1 1 2 0 0 0 | 1 2 2 1 0 0 | 2 1 1 0 . o3o3x3o . . . ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 0 5 5 0 | * * * * 504 * * | 1 0 0 0 3 0 0 | 3 0 0 0 3 0 | 3 0 0 1 . . o3x3o3o . . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 0 0 5 5 | * * * * * 1512 * | 0 0 1 0 1 2 0 | 1 0 2 0 2 1 | 2 0 1 1 . . . x3o3o3o . ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * 1512 | 0 0 0 2 0 2 1 | 0 1 2 2 1 2 | 1 1 2 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x3o3o3x3o . . . ♦ 60 | 90 180 | 60 180 120 60 | 15 60 60 60 30 30 0 | 6 20 15 0 6 0 0 | 84 * * * * * * | 3 0 0 0 0 0 | 3 0 0 0 x3o . x3o3o . . ♦ 12 | 12 18 | 4 18 0 12 | 0 6 0 12 0 0 3 | 0 4 0 3 0 0 0 | * 1260 * * * * * | 1 2 0 0 0 0 | 2 1 0 0 x . o3x3o3o . . ♦ 20 | 10 60 | 0 30 20 40 | 0 0 10 20 0 10 10 | 0 0 5 5 0 2 0 | * * 756 * * * * | 1 0 2 0 0 0 | 2 0 1 0 x . . x3o3o3o . ♦ 10 | 5 20 | 0 10 0 20 | 0 0 0 10 0 0 10 | 0 0 0 5 0 0 2 | * * * 1512 * * * | 0 1 1 1 0 0 | 1 1 1 0 . o3o3x3o3o . . ♦ 20 | 0 90 | 0 0 60 60 | 0 0 0 0 15 30 15 | 0 0 0 0 6 6 0 | * * * * 252 * * | 1 0 0 0 2 0 | 2 0 0 1 . . o3x3o3o3o . ♦ 15 | 0 60 | 0 0 20 60 | 0 0 0 0 0 15 30 | 0 0 0 0 0 6 6 | * * * * * 504 * | 0 0 1 0 1 1 | 1 0 1 1 . . . x3o3o3o3o ♦ 6 | 0 15 | 0 0 0 20 | 0 0 0 0 0 0 15 | 0 0 0 0 0 0 6 | * * * * * * 252 | 0 0 0 2 0 2 | 0 1 4 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x3o3o3x3o3o . . ♦ 140 | 210 630 | 140 630 420 420 | 35 210 210 420 105 210 105 | 21 140 105 105 42 42 0 | 7 35 21 0 7 0 0 | 36 * * * * * | 2 0 0 0 x3o . x3o3o3o . ♦ 15 | 15 30 | 5 30 0 30 | 0 10 0 30 0 0 15 | 0 10 0 15 0 0 3 | 0 5 0 3 0 0 0 | * 504 * * * * | 1 1 0 0 x . o3x3o3o3o . ♦ 30 | 15 120 | 0 60 40 120 | 0 0 20 60 0 30 60 | 0 0 15 30 0 12 12 | 0 0 6 6 0 2 0 | * * 252 * * * | 1 0 1 0 x . . x3o3o3o3o ♦ 12 | 6 30 | 0 15 0 40 | 0 0 0 20 0 0 30 | 0 0 0 15 0 0 12 | 0 0 0 6 0 0 2 | * * * 252 * * | 0 1 1 0 . o3o3x3o3o3o . ♦ 35 | 0 210 | 0 0 140 210 | 0 0 0 0 35 105 105 | 0 0 0 0 21 42 21 | 0 0 0 0 7 7 0 | * * * * 72 * | 1 0 0 1 . . o3x3o3o3o3o ♦ 21 | 0 105 | 0 0 35 140 | 0 0 0 0 0 35 105 | 0 0 0 0 0 21 42 | 0 0 0 0 0 7 7 | * * * * * 72 | 0 0 1 1 ----------------+-----+----------+--------------------+----------------------------------+----------------------------------+------------------------------+----------------------+---------- x3o3o3x3o3o3o . ♦ 280 | 420 1680 | 280 1680 1120 1680 | 70 560 560 1680 280 840 840 | 56 560 420 840 168 336 168 | 28 280 168 168 56 56 0 | 8 56 28 0 8 0 | 9 * * * x3o . x3o3o3o3o ♦ 18 | 18 45 | 6 45 0 60 | 0 15 0 60 0 0 45 | 0 20 0 45 0 0 18 | 0 15 0 18 0 0 3 | 0 6 0 3 0 0 | * 84 * * x . o3x3o3o3o3o ♦ 42 | 21 210 | 0 105 70 280 | 0 0 35 140 0 70 210 | 0 0 35 105 0 42 84 | 0 0 21 42 0 14 14 | 0 0 7 7 0 2 | * * 36 * . o3o3x3o3o3o3o ♦ 56 | 0 420 | 0 0 280 560 | 0 0 0 0 70 280 420 | 0 0 0 0 56 168 168 | 0 0 0 0 28 56 28 | 0 0 0 0 8 8 | * * * 9
ooo3ooo3ooo3oox3xxo3ooo3oxx&#xt → both heights = 3/4 (broc || pseudo saro || spo) ...
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