Acronym enep
Name enneazetton prism,
vertex figure of ru
Circumradius 5/6 = 0.833333
Volume 1/215040 = 0.0000046503
Face vector 18, 81, 204, 336, 378, 294, 156, 54, 11
Confer
general polytopal classes:
Wythoffian polyyotta   segmentoyotta  

Incidence matrix according to Dynkin symbol

x x3o3o3o3o3o3o3o

. . . . . . . . . | 18 | 1  8 |  8  28 | 28  56 |  56  70 |  70  56 | 56 28 | 28  8 | 8 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x . . . . . . . . |  2 | 9  *   8   0 | 28   0 |  56   0 |  70   0 | 56  0 | 28  0 | 8 0
. x . . . . . . . |  2 | * 72 |  1   7 |  7  21 |  21  35 |  35  35 | 35 21 | 21  7 | 7 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x . . . . . . . |  4 | 2  2 | 36   *   7   0 |  21   0 |  35   0 | 35  0 | 21  0 | 7 0
. x3o . . . . . . |  3 | 0  3 |  * 168 |  1   6 |   6  15 |  15  20 | 20 15 | 15  6 | 6 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x3o . . . . . .   6 | 3  6 |  3   2 | 84   *    6   0 |  15   0 | 20  0 | 15  0 | 6 0
. x3o3o . . . . .   4 | 0  6 |  0   4 |  * 252 |   1   5 |   5  10 | 10 10 | 10  5 | 5 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x3o3o . . . . .   8 | 4 12 |  6   8 |  4   2 | 126   *    5   0 | 10  0 | 10  0 | 5 0
. x3o3o3o . . . .   5 | 0 10 |  0  10 |  0   5 |   * 252 |   1   4 |  4  6 |  6  4 | 4 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x3o3o3o . . . .  10 | 5 20 | 10  20 | 10  10 |   5   2 | 126   *   4  0 |  6  0 | 4 0
. x3o3o3o3o . . .   6 | 0 15 |  0  20 |  0  15 |   0   6 |   * 168 |  1  3 |  3  3 | 3 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x3o3o3o3o . . .  12 | 6 30 | 15  40 | 20  30 |  15  12 |   6   2 | 84  * |  3  0 | 3 0
. x3o3o3o3o3o . .   7 | 0 21 |  0  35 |  0  35 |   0  21 |   0   7 |  * 72 |  1  2 | 2 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x3o3o3o3o3o . .  14 | 7 42 | 21  70 | 35  70 |  35  42 |  21  14 |  7  2 | 36  * | 2 0
. x3o3o3o3o3o3o .   8 | 0 28 |  0  56 |  0  70 |   0  56 |   0  28 |  0  8 |  * 18 | 1 1
------------------+----+------+--------+--------+---------+---------+-------+-------+----
x x3o3o3o3o3o3o .  16 | 8 56 | 28 112 | 56 140 |  70 112 |  56  56 | 28 16 |  8  2 | 9 *
. x3o3o3o3o3o3o3o   9 | 0 36 |  0  84 |  0 126 |   0 126 |   0  84 |  0 36 |  0  9 | * 2

xx3oo3oo3oo3oo3oo3oo3oo&#x   → height = 1
(ene || ene)

o.3o.3o.3o.3o.3o.3o.3o.    | 9 * |  8 1  0 | 28  8  0 |  56 28   0 |  70  56   0 | 56  70  0 | 28 56  0 | 8 28 0 | 1 8 0
.o3.o3.o3.o3.o3.o3.o3.o    | * 9 |  0 1  8 |  0  8 28 |   0 28  56 |   0  56  70 |  0  70 56 |  0 56 28 | 0 28 8 | 0 8 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x. .. .. .. .. .. .. ..    | 2 0 | 36 *  * |  7  1  0 |  21  7   0 |  35  21   0 | 35  35  0 | 21 35  0 | 7 21 0 | 1 7 0
oo3oo3oo3oo3oo3oo3oo3oo&#x | 1 1 |  * 9  *   0  8  0 |   0 28   0 |   0  56   0 |  0  70  0 |  0 56  0 | 0 28 0 | 0 8 0
.x .. .. .. .. .. .. ..    | 0 2 |  * * 36 |  0  1  7 |   0  7  21 |   0  21  35 |  0  35 35 |  0 35 21 | 0 21 7 | 0 7 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o. .. .. .. .. .. ..    | 3 0 |  3 0  0 | 84  *  * |   6  1   0 |  15   6   0 | 20  15  0 | 15 20  0 | 6 15 0 | 1 6 0
xx .. .. .. .. .. .. ..&#x | 2 2 |  1 2  1 |  * 36  *    0  7   0 |   0  21   0 |  0  35  0 |  0 35  0 | 0 21 0 | 0 7 0
.x3.o .. .. .. .. .. ..    | 0 3 |  0 0  3 |  *  * 84 |   0  1   6 |   0   6  15 |  0  15 20 |  0 20 15 | 0 15 6 | 0 6 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o.3o. .. .. .. .. ..     4 0 |  6 0  0 |  4  0  0 | 126  *   * |   5   1   0 | 10   5  0 | 10 10  0 | 5 10 0 | 1 5 0
xx3oo .. .. .. .. .. ..&#x  3 3 |  3 3  3 |  1  3  1 |   * 84   *    0   6   0 |  0  15  0 |  0 20  0 | 0 15 0 | 0 6 0
.x3.o3.o .. .. .. .. ..     0 4 |  0 0  6 |  0  0  4 |   *  * 126 |   0   1   5 |  0   5 10 |  0 10 10 | 0 10 5 | 0 5 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o.3o.3o. .. .. .. ..     5 0 | 10 0  0 | 10  0  0 |   5  0   0 | 126   *   * |  4   1  0 |  6  4  0 | 4  6 0 | 1 5 0
xx3oo3oo .. .. .. .. ..&#x  4 4 |  6 4  6 |  4  6  4 |   1  4   1 |   * 126   *   0   5  0 |  0 10  0 | 0 10 0 | 0 5 0
.x3.o3.o3.o .. .. .. ..     0 5 |  0 0 10 |  0  0 10 |   0  0   5 |   *   * 126 |  0   1  4 |  0  4  6 | 0  6 4 | 0 4 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o.3o.3o.3o. .. .. ..     6 0 | 15 0  0 | 20  0  0 |  15  0   0 |   6   0   0 | 84   *  * |  3  1  0 | 3  3 0 | 1 3 0
xx3oo3oo3oo .. .. .. ..&#x  5 5 | 10 5 10 | 10 10 10 |   5 10   5 |   1   5   1 |  * 126  *   0  4  0 | 0  6 0 | 0 4 0
.x3.o3.o3.o3.o .. .. ..     0 6 |  0 0 15 |  0  0 20 |   0  0  15 |   0   0   6 |  *   * 84 |  0  1  3 | 0  3 3 | 0 3 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o.3o.3o.3o.3o. .. ..     7 0 | 21 0  0 | 35  0  0 |  35  0   0 |  21   0   0 |  7   0  0 | 36  *  * | 2  1 0 | 1 2 0
xx3oo3oo3oo3oo .. .. ..&#x  6 6 | 15 6 15 | 20 15 20 |  15 20  15 |   6  15   6 |  1   6  1 |  * 84  * | 0  3 0 | 0 3 0
.x3.o3.o3.o3.o3.o .. ..     0 7 |  0 0 21 |  0  0 35 |   0  0  35 |   0   0  21 |  0   0  7 |  *  * 36 | 0  1 2 | 0 2 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o.3o.3o.3o.3o.3o. ..     8 0 | 28 0  0 | 56  0  0 |  70  0   0 |  56   0   0 | 28   0  0 |  8  0  0 | 9  * * | 1 1 0
xx3oo3oo3oo3oo3oo .. ..&#x  7 7 | 21 7 21 | 35 21 35 |  35 35  35 |  21  35  21 |  7  21  7 |  1  7  1 | * 36 * | 0 2 0
.x3.o3.o3.o3.o3.o3.o ..     0 8 |  0 0 28 |  0  0 56 |   0  0  70 |   0   0  56 |  0   0 28 |  0  0  8 | *  * 9 | 0 1 1
---------------------------+-----+---------+----------+------------+-------------+-----------+----------+--------+------
x.3o.3o.3o.3o.3o.3o.3o.     9 0 | 36 0  0 | 84  0  0 | 126  0   0 | 126   0   0 | 84   0  0 | 36  0  0 | 9  0 0 | 1 * *
xx3oo3oo3oo3oo3oo3oo ..&#x  8 8 | 28 8 28 | 56 28 56 |  70 56  70 |  56  70  56 | 28  56 28 |  8 28  8 | 1  8 1 | * 9 *
.x3.o3.o3.o3.o3.o3.o3.o     0 9 |  0 0 36 |  0  0 84 |   0  0 126 |   0   0 126 |  0   0 84 |  0  0 36 | 0  0 9 | * * 1

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