Acronym | be |
Name |
octadecazetton, enneaenneazetton, bi-enneazetton, quadritruncated enneazetton, equatorial cross-section of (vertex first) q-enne |
Circumradius | 2 |
Inradius | 3/4 |
Dihedral angles
(at margins) | |
Face vector | 630, 2520, 4200, 3780, 2016, 672, 144, 18 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3o3o3x3x3o3o3o . . . . . . . . | 630 | 4 4 | 6 16 6 | 4 24 24 4 | 1 16 36 16 1 | 4 24 24 4 | 6 16 6 | 4 4 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- . . . x . . . . | 2 | 1260 * | 3 4 0 | 3 12 6 0 | 1 12 18 4 0 | 4 18 12 1 | 6 12 3 | 4 3 . . . . x . . . | 2 | * 1260 | 0 4 3 | 0 6 12 3 | 0 4 18 12 1 | 1 12 18 4 | 3 12 6 | 3 4 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- . . o3x . . . . | 3 | 3 0 | 1260 * * | 2 4 0 0 | 1 8 6 0 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . x3x . . . | 6 | 3 3 | * 1680 * | 0 3 3 0 | 0 3 9 3 0 | 1 9 9 1 | 3 9 3 | 3 3 . . . . x3o . . | 3 | 0 3 | * * 1260 | 0 0 4 2 | 0 0 6 8 1 | 0 4 12 4 | 1 8 6 | 2 4 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- . o3o3x . . . . ♦ 4 | 6 0 | 4 0 0 | 630 * * * | 1 4 0 0 0 | 4 6 0 0 | 6 4 0 | 4 1 . . o3x3x . . . ♦ 12 | 12 6 | 4 4 0 | * 1260 * * | 0 2 3 0 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x3x3o . . ♦ 12 | 6 12 | 0 4 4 | * * 1260 * | 0 0 3 2 0 | 0 3 6 1 | 1 6 3 | 2 3 . . . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * * 630 | 0 0 0 4 1 | 0 0 6 4 | 0 4 6 | 1 4 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- o3o3o3x . . . . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 126 * * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 . o3o3x3x . . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 | * 504 * * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3x3x3o . . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * * 756 * * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3x3o3o . ♦ 20 | 10 30 | 0 10 20 | 0 0 5 5 | * * * 504 * | 0 0 3 1 | 0 3 3 | 1 3 . . . . x3o3o3o ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * * 126 ♦ 0 0 0 4 | 0 0 6 | 0 4 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- o3o3o3x3x . . . ♦ 30 | 60 15 | 60 20 0 | 30 15 0 0 | 6 6 0 0 0 | 84 * * * | 3 0 0 | 3 0 . o3o3x3x3o . . ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 0 6 6 0 0 | * 252 * * | 1 2 0 | 2 1 . . o3x3x3o3o . ♦ 60 | 60 90 | 20 60 60 | 0 15 30 15 | 0 0 6 6 0 | * * 252 * | 0 2 1 | 1 2 . . . x3x3o3o3o ♦ 30 | 15 60 | 0 20 60 | 0 0 15 30 | 0 0 0 6 6 | * * * 84 | 0 0 3 | 0 3 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- o3o3o3x3x3o . . ♦ 105 | 210 105 | 210 140 35 | 105 105 35 0 | 21 42 21 0 0 | 7 7 0 0 | 36 * * | 2 0 . o3o3x3x3o3o . ♦ 140 | 210 210 | 140 210 140 | 35 105 105 35 | 0 21 42 21 0 | 0 7 7 0 | * 72 * | 1 1 . . o3x3x3o3o3o ♦ 105 | 105 210 | 35 140 210 | 0 35 105 105 | 0 0 21 42 21 | 0 0 7 7 | * * 36 | 0 2 ----------------+-----+-----------+----------------+-------------------+---------------------+---------------+----------+---- o3o3o3x3x3o3o . ♦ 280 | 560 420 | 560 560 280 | 280 420 280 70 | 56 168 168 56 0 | 28 56 28 0 | 8 8 0 | 9 * . o3o3x3x3o3o3o ♦ 280 | 420 560 | 280 560 560 | 70 280 420 280 | 0 56 168 168 56 | 0 28 56 28 | 0 8 8 | * 9
or . . . . . . . . | 630 | 8 | 12 16 | 8 48 | 2 32 36 | 8 48 | 12 16 | 8 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- . . . x . . . . & | 2 | 2520 | 3 4 | 3 18 | 1 16 18 | 5 30 | 9 12 | 7 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- . . o3x . . . . & | 3 | 3 | 2520 * | 2 4 | 1 8 6 | 4 16 | 7 8 | 6 . . . x3x . . . | 6 | 6 | * 1680 | 0 6 | 0 6 9 | 2 18 | 6 9 | 6 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- . o3o3x . . . . & ♦ 4 | 6 | 4 0 | 1260 * | 1 4 0 | 4 6 | 6 4 | 5 . . o3x3x . . . & ♦ 12 | 18 | 4 4 | * 2520 | 0 2 3 | 1 9 | 4 6 | 5 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- o3o3o3x . . . . & ♦ 5 | 10 | 10 0 | 5 0 | 252 * * ♦ 4 0 | 6 0 | 4 . o3o3x3x . . . & ♦ 20 | 40 | 20 10 | 5 5 | * 1008 * | 1 3 | 3 3 | 4 . . o3x3x3o . . ♦ 30 | 60 | 20 20 | 0 10 | * * 756 | 0 4 | 2 4 | 4 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- o3o3o3x3x . . . & ♦ 30 | 75 | 60 20 | 30 15 | 6 6 0 | 168 * | 3 0 | 3 . o3o3x3x3o . . & ♦ 60 | 150 | 80 60 | 15 45 | 0 6 6 | * 504 | 1 2 | 3 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- o3o3o3x3x3o . . & ♦ 105 | 315 | 245 140 | 105 140 | 21 42 21 | 7 7 | 72 * | 2 . o3o3x3x3o3o . ♦ 140 | 420 | 280 210 | 70 210 | 0 42 42 | 0 14 | * 72 | 2 -------------------+-----+------+-----------+-----------+--------------+---------+-------+--- o3o3o3x3x3o3o . & ♦ 280 | 980 | 840 560 | 350 700 | 56 252 168 | 28 84 | 8 8 | 18
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