Acronym batene
Name bitruncated enneazetton
Circumradius sqrt(29)/3 = 1.795055
Inradius
wrt. toc
13/12 = 1.083333
Inradius
wrt. bittoc
5/12 = 0.416667
Lace city
in approx. ASCII-art
o3o3o3o3o3x  o3o3o3o3o3u  o3o3o3o3x3x  		-- o3o3o3o3o3x3x (toc)
                                       
                                       
                                       
                                       
                                       
                                       
 o3o3o3o3o3u               o3o3o3o3u3o 		-- o3o3o3o3o3u3o (u-roc)
                                       
                                       
                                       
                                       
                                       
                                       
  o3o3o3o3x3x  o3o3o3o3u3o  o3o3o3x3x3o		-- o3o3o3o3x3x3o (bittoc)
Dihedral angles
(at margins)
Face vector 252, 1008, 1848, 2016, 1386, 588, 144, 18
Confer
general polytopal classes:
Wythoffian polyzetta  
analogs:
bitruncated simplex btSn  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3x3x3o3o3o3o3o

. . . . . . . . | 252 |   2   6 |  1  12   15 |   6  30   20 |  15  40  15 | 20  30   6 | 15 12  1 | 6 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
. x . . . . . . |   2 | 252   * |  1   6    0 |   6  15    0 |  15  20   0 | 20  15   0 | 15  6  0 | 6 1
. . x . . . . . |   2 |   * 756 |  0   2    5 |   1  10   10 |   5  20  10 | 10  20   5 | 10 10  1 | 5 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
o3x . . . . . . |   3 |   3   0 | 84   *    *    6   0    0 |  15   0   0 | 20   0   0 | 15  0  0 | 6 0
. x3x . . . . . |   6 |   3   3 |  * 504    * |   1   5    0 |   5  10   0 | 10  10   0 | 10  5  0 | 5 1
. . x3o . . . . |   3 |   0   3 |  *   * 1260 |   0   2    4 |   1   8   6 |  4  12   4 |  6  8  1 | 4 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
o3x3x . . . . .   12 |  12   6 |  4   4    0 | 126   *    *    5   0   0 | 10   0   0 | 10  0  0 | 5 0
. x3x3o . . . .   12 |   6  12 |  0   4    4 |   * 630    * |   1   4   0 |  4   6   0 |  6  4  0 | 4 1
. . x3o3o . . .    4 |   0   6 |  0   0    4 |   *   * 1260 |   0   2   3 |  1   6   3 |  3  6  1 | 3 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
o3x3x3o . . . .   30 |  30  30 | 10  20   10 |   5   5    0 | 126   *   *   4   0   0 |  6  0  0 | 4 0
. x3x3o3o . . .   20 |  10  30 |  0  10   20 |   0   5    5 |   * 504   * |  1   3   0 |  3  3  0 | 3 1
. . x3o3o3o . .    5 |   0  10 |  0   0   10 |   0   0    5 |   *   * 756 |  0   2   2 |  1  4  1 | 2 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
o3x3x3o3o . . .   60 |  60  90 | 20  60   60 |  15  30   15 |   6   6   0 | 84   *   * |  3  0  0 | 3 0
. x3x3o3o3o . .   30 |  15  60 |  0  20   60 |   0  15   30 |   0   6   6 |  * 252   * |  1  2  0 | 2 1
. . x3o3o3o3o .    6 |   0  15 |  0   0   20 |   0   0   15 |   0   0   6 |  *   * 252 |  0  2  1 | 1 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
o3x3x3o3o3o . .  105 | 105 210 | 35 140  210 |  35 105  105 |  21  42  21 |  7   7   0 | 36  *  * | 2 0
. x3x3o3o3o3o .   42 |  21 105 |  0  35  140 |   0  35  105 |   0  21  42 |  0   7   7 |  * 72  * | 1 1
. . x3o3o3o3o3o    7 |   0  21 |  0   0   35 |   0   0   35 |   0   0  21 |  0   0   7 |  *  * 36 | 0 2
----------------+-----+---------+-------------+--------------+-------------+------------+----------+----
o3x3x3o3o3o3o .  168 | 168 420 | 56 280  560 |  70 280  420 |  56 168 168 | 28  56  28 |  8  8  0 | 9 *
. x3x3o3o3o3o3o   56 |  28 168 |  0  56  280 |   0  70  280 |   0  56 168 |  0  28  56 |  0  8  8 | * 9

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