Acronym trene
Name trirectified enneazetton,
Gosset polytope 04,3
Circumradius sqrt(10)/3 = 1.054093
Confer
general polytopal classes:
Coxeter-Elte-Gosset polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3o3x3o3o3o3o

. . . . . . . . | 126    20 |   30   40 |  20   60   40 |   5  40  60  20 | 10  40  30  4 | 10 20  6 | 5 4
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
. . . x . . . . |   2 | 1260 |    3    4 |   3   12    6 |   1  12  18   4 |  4  18  12  1 |  6 12  3 | 4 3
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
. . o3x . . . . |   3 |    3 | 1260    * |   2    4    0 |   1   8   6   0 |  4  12   4  0 |  6  8  1 | 4 2
. . . x3o . . . |   3 |    3 |    * 1680 |   0    3    3 |   0   3   9   3 |  1   9   9  1 |  3  9  3 | 3 3
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
. o3o3x . . . .    4 |    6 |    4    0 | 630    *    * |   1   4   0   0 |  4   6   0  0 |  6  4  0 | 4 1
. . o3x3o . . .    6 |   12 |    4    4 |   * 1260    * |   0   2   3   0 |  1   6   3  0 |  3  6  1 | 3 2
. . . x3o3o . .    4 |    6 |    0    4 |   *    * 1260 |   0   0   3   2 |  0   3   6  1 |  1  6  3 | 2 3
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
o3o3o3x . . . .    5 |   10 |   10    0 |   5    0    0 | 126   *   *   *   4   0   0  0 |  6  0  0 | 4 0
. o3o3x3o . . .   10 |   30 |   20   10 |   5    5    0 |   * 504   *   * |  1   3   0  0 |  3  3  0 | 3 1
. . o3x3o3o . .   10 |   30 |   10   20 |   0    5    5 |   *   * 756   * |  0   2   2  0 |  1  4  1 | 2 2
. . . x3o3o3o .    5 |   10 |    0   10 |   0    0    5 |   *   *   * 504 |  0   0   3  1 |  0  3  3 | 1 3
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
o3o3o3x3o . . .   15 |   60 |   60   20 |  30   15    0 |   6   6   0   0 | 84   *   *  * |  3  0  0 | 3 0
. o3o3x3o3o . .   20 |   90 |   60   60 |  15   30   15 |   0   6   6   0 |  * 252   *  * |  1  2  0 | 2 1
. . o3x3o3o3o .   15 |   60 |   20   60 |   0   15   30 |   0   0   6   6 |  *   * 252  * |  0  2  1 | 1 2
. . . x3o3o3o3o    6 |   15 |    0   20 |   0    0   15 |   0   0   0   6 |  *   *   * 84 |  0  0  3 | 0 3
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
o3o3o3x3o3o . .   35 |  210 |  210  140 | 105  105   35 |  21  42  21   0 |  7   7   0  0 | 36  *  * | 2 0
. o3o3x3o3o3o .   35 |  210 |  140  210 |  35  105  105 |   0  21  42  21 |  0   7   7  0 |  * 72  * | 1 1
. . o3x3o3o3o3o   21 |  105 |   35  140 |   0   35  105 |   0   0  21  42 |  0   0   7  7 |  *  * 36 | 0 2
----------------+-----+------+-----------+---------------+-----------------+---------------+----------+----
o3o3o3x3o3o3o .   70 |  560 |  560  560 | 280  420  280 |  56 168 168  56 | 28  56  28  0 |  8  8  0 | 9 *
. o3o3x3o3o3o3o   56 |  420 |  280  560 |  70  280  420 |   0  56 168 168 |  0  28  56 28 |  0  8  8 | * 9

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