Acronym rene
Name rectified enneazetton,
vertex figure of henne,
Gosset polytope 06,1
Circumradius sqrt(7)/3 = 0.881917
Confer
general polytopal classes:
segmentozetta   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3x3o3o3o3o3o3o

. . . . . . . . | 36   14 |  7  42 |  21  70 |  35  70 | 35  42 | 21 14 | 7 2
----------------+----+-----+--------+---------+---------+--------+-------+----
. x . . . . . . |  2 | 252 |  1   6 |   6  15 |  15  20 | 20  15 | 15  6 | 6 1
----------------+----+-----+--------+---------+---------+--------+-------+----
o3x . . . . . . |  3 |   3 | 84   *    6   0 |  15   0 | 20   0 | 15  0 | 6 0
. x3o . . . . . |  3 |   3 |  * 504 |   1   5 |   5  10 | 10  10 | 10  5 | 5 1
----------------+----+-----+--------+---------+---------+--------+-------+----
o3x3o . . . . .   6 |  12 |  4   4 | 126   *    5   0 | 10   0 | 10  0 | 5 0
. x3o3o . . . .   4 |   6 |  0   4 |   * 630 |   1   4 |  4   6 |  6  4 | 4 1
----------------+----+-----+--------+---------+---------+--------+-------+----
o3x3o3o . . . .  10 |  30 | 10  20 |   5   5 | 126   *   4   0 |  6  0 | 4 0
. x3o3o3o . . .   5 |  10 |  0  10 |   0   5 |   * 504 |  1   3 |  3  3 | 3 1
----------------+----+-----+--------+---------+---------+--------+-------+----
o3x3o3o3o . . .  15 |  60 | 20  60 |  15  30 |   6   6 | 84   * |  3  0 | 3 0
. x3o3o3o3o . .   6 |  15 |  0  20 |   0  15 |   0   6 |  * 252 |  1  2 | 2 1
----------------+----+-----+--------+---------+---------+--------+-------+----
o3x3o3o3o3o . .  21 | 105 | 35 140 |  35 105 |  21  42 |  7   7 | 36  * | 2 0
. x3o3o3o3o3o .   7 |  21 |  0  35 |   0  35 |   0  21 |  0   7 |  * 72 | 1 1
----------------+----+-----+--------+---------+---------+--------+-------+----
o3x3o3o3o3o3o .  28 | 168 | 56 280 |  70 280 |  56 168 | 28  56 |  8  8 | 9 *
. x3o3o3o3o3o3o   8 |  28 |  0  56 |   0  70 |   0  56 |  0  28 |  0  8 | * 9

xo3ox3oo3oo3oo3oo3oo&#x   → height = 3/4
(oca || roc)

o.3o.3o.3o.3o.3o.3o.    | 8  *   7  7   0 | 21  7  21  0   0 | 35 21  35  0   0 | 35 35  35  0   0 | 21 35  21  0  0 | 7 21  7 0 0 | 1 7 1 0
.o3.o3.o3.o3.o3.o3.o    | * 28   0  2  12 |  0  1  12  6  30 |  0  6  30 15  40 |  0 15  40 20  30 |  0 20  30 15 12 | 0 15 12 6 2 | 0 6 2 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x. .. .. .. .. .. ..    | 2  0 | 28  *   * |  6  1   0  0   0 | 15  6   0  0   0 | 20 15   0  0   0 | 15 20   0  0  0 | 6 15  0 0 0 | 1 6 0 0
oo3oo3oo3oo3oo3oo3oo&#x | 1  1 |  * 56   * |  0  1   6  0   0 |  0  6  15  0   0 |  0 15  20  0   0 |  0 20  15  0  0 | 0 15  6 0 0 | 0 6 1 0
.. .x .. .. .. .. ..    | 0  2 |  *  * 168 |  0  0   1  1   5 |  0  1   5  5  10 |  0  5  10 10  10 |  0 10  10 10  5 | 0 10  5 5 1 | 0 5 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o. .. .. .. .. ..    | 3  0 |  3  0   0 | 56  *   *  *   * |  5  1   0  0   0 | 10  5   0  0   0 | 10 10   0  0  0 | 5 10  0 0 0 | 1 5 0 0
xo .. .. .. .. .. ..&#x | 2  1 |  1  2   0 |  * 28   *  *   *   0  6   0  0   0 |  0 15   0  0   0 |  0 20   0  0  0 | 0 15  0 0 0 | 0 6 0 0
.. ox .. .. .. .. ..&#x | 1  2 |  0  2   1 |  *  * 168  *   * |  0  1   5  0   0 |  0  5  10  0   0 |  0 10  10  0  0 | 0 10  5 0 0 | 0 5 1 0
.o3.x .. .. .. .. ..    | 0  3 |  0  0   3 |  *  *   * 56   *   0  1   0  5   0 |  0  5   0 10   0 |  0 10   0 10  0 | 0 10  0 5 0 | 0 5 0 1
.. .x3.o .. .. .. ..    | 0  3 |  0  0   3 |  *  *   *  * 280 |  0  0   1  1   4 |  0  1   4  4   6 |  0  4   6  6  4 | 0  6  4 4 1 | 0 4 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o.3o. .. .. .. ..     4  0 |  6  0   0 |  4  0   0  0   0 | 70  *   *  *   * |  4  1   0  0   0 |  6  4   0  0  0 | 4  6  0 0 0 | 1 4 0 0
xo3ox .. .. .. .. ..&#x  3  3 |  3  6   3 |  1  3   3  1   0 |  * 56   *  *   *   0  5   0  0   0 |  0 10   0  0  0 | 0 10  0 0 0 | 0 5 0 0
.. ox3oo .. .. .. ..&#x  1  3 |  0  3   3 |  0  0   3  0   1 |  *  * 280  *   * |  0  1   4  0   0 |  0  4   6  0  0 | 0  6  4 0 0 | 0 4 1 0
.o3.x3.o .. .. .. ..     0  6 |  0  0  12 |  0  0   0  4   4 |  *  *   * 70   *   0  1   0  4   0 |  0  4   0  6  0 | 0  6  0 4 0 | 0 4 0 1
.. .x3.o3.o .. .. ..     0  4 |  0  0   6 |  0  0   0  0   4 |  *  *   *  * 280 |  0  0   1  1   3 |  0  1   3  3  3 | 0  3  3 3 1 | 0 3 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o.3o.3o. .. .. ..     5  0 | 10  0   0 | 10  0   0  0   0 |  5  0   0  0   0 | 56  *   *  *   * |  3  1   0  0  0 | 3  3  0 0 0 | 1 3 0 0
xo3ox3oo .. .. .. ..&#x  4  6 |  6 12  12 |  4  6  12  4   4 |  1  4   4  1   0 |  * 70   *  *   *   0  4   0  0  0 | 0  6  0 0 0 | 0 4 0 0
.. ox3oo3oo .. .. ..&#x  1  4 |  0  4   6 |  0  0   6  0   4 |  0  0   4  0   1 |  *  * 280  *   * |  0  1   3  0  0 | 0  3  3 0 0 | 0 3 1 0
.o3.x3.o3.o .. .. ..     0 10 |  0  0  30 |  0  0   0 10  20 |  0  0   0  5   5 |  *  *   * 56   *   0  1   0  3  0 | 0  3  0 3 0 | 0 3 0 1
.. .x3.o3.o3.o .. ..     0  5 |  0  0  10 |  0  0   0  0  10 |  0  0   0  0   5 |  *  *   *  * 168 |  0  0   1  1  2 | 0  1  2 2 1 | 0 2 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o.3o.3o.3o. .. ..     6  0 | 15  0   0 | 20  0   0  0   0 | 15  0   0  0   0 |  6  0   0  0   0 | 28  *   *  *  * | 2  1  0 0 0 | 1 2 0 0
xo3ox3oo3oo .. .. ..&#x  5 10 | 10 20  30 | 10 10  30 10  20 |  5 10  20  5   5 |  1  5   5  1   0 |  * 56   *  *  * | 0  3  0 0 0 | 0 3 0 0
.. ox3oo3oo3oo .. ..&#x  1  5 |  0  5  10 |  0  0  10  0  10 |  0  0  10  0   5 |  0  0   5  0   1 |  *  * 168  *  * | 0  1  2 0 0 | 0 2 1 0
.o3.x3.o3.o3.o .. ..     0 15 |  0  0  60 |  0  0   0 20  60 |  0  0   0 15  30 |  0  0   0  6   6 |  *  *   * 28  * | 0  1  0 2 0 | 0 2 0 1
.. .x3.o3.o3.o3.o ..     0  6 |  0  0  15 |  0  0   0  0  20 |  0  0   0  0  15 |  0  0   0  0   6 |  *  *   *  * 56 | 0  0  1 1 1 | 0 1 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o.3o.3o.3o.3o. ..     7  0 | 21  0   0 | 35  0   0  0   0 | 35  0   0  0   0 | 21  0   0  0   0 |  7  0   0  0  0 | 8  *  * * * | 1 1 0 0
xo3ox3oo3oo3oo .. ..&#x  6 15 | 15 30  60 | 20 15  60 20  60 | 15 20  60 15  30 |  6 15  30  6   6 |  1  6   6  1  0 | * 28  * * * | 0 2 0 0
.. ox3oo3oo3oo3oo ..&#x  1  6 |  0  6  15 |  0  0  15  0  20 |  0  0  20  0  15 |  0  0  15  0   6 |  0  0   6  0  1 | *  * 56 * * | 0 1 1 0
.o3.x3.o3.o3.o3.o ..     0 21 |  0  0 105 |  0  0   0 35 140 |  0  0   0 35 105 |  0  0   0 21  42 |  0  0   0  7  7 | *  *  * 8 * | 0 1 0 1
.. .x3.o3.o3.o3.o3.o     0  7 |  0  0  21 |  0  0   0  0  35 |  0  0   0  0  35 |  0  0   0  0  21 |  0  0   0  0  7 | *  *  * * 8 | 0 0 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o.3o.3o.3o.3o.3o.     8  0 | 28  0   0 | 56  0   0  0   0 | 70  0   0  0   0 | 56  0   0  0   0 | 28  0   0  0  0 | 8  0  0 0 0 | 1 * * *
xo3ox3oo3oo3oo3oo ..&#x  7 21 | 21 42 105 | 35 21 105 35 140 | 35 35 140 35 105 | 21 35 105 21  42 |  7 21  42  7  7 | 1  7  7 1 0 | * 8 * *
.. ox3oo3oo3oo3oo3oo&#x  1  7 |  0  7  21 |  0  0  21  0  35 |  0  0  35  0  35 |  0  0  35  0  21 |  0  0  21  0  7 | 0  0  7 0 1 | * * 8 *
.o3.x3.o3.o3.o3.o3.o     0 28 |  0  0 168 |  0  0   0 56 280 |  0  0   0 70 280 |  0  0   0 56 168 |  0  0   0 28 56 | 0  0  0 8 8 | * * * 1

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