Acronym srene
Name small rhombated enneazetton,
cantellated enneazetton
Circumradius sqrt(19)/3 = 1.452966
Lace city
in approx. ASCII-art
            x3o3o3o3o3o  o3x3o3o3o3o  		-- o3x3o3o3o3o3o (roc)
                                      
                                      
                                      
                                      
                                      
                                      
x3o3o3o3o3o  u3o3o3o3o3o  x3x3o3o3o3o 		-- x3x3o3o3o3o3o (toc)
                                      
                                      
                                      
                                      
                                      
                                      
 o3x3o3o3o3o  x3x3o3o3o3o  x3o3x3o3o3o		-- x3o3x3o3o3o3o (saro)
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o3x3o3o3o3o3o

. . . . . . . . | 252 |   2   12 |  1  12   6   30 |   6   30  15   40 |  15   40  20   30 | 20  30  15  12 | 15  12  6  2 | 6  2 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x . . . . . . . |   2 | 252    * |  1   6   0    0 |   6   15   0    0 |  15   20   0    0 | 20  15   0   0 | 15   6  0  0 | 6  1 0
. . x . . . . . |   2 |   * 1512 |  0   1   1    5 |   1    5   5   10 |   5   10  10   10 | 10  10  10   5 | 10   5  5  1 | 5  1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o . . . . . . |   3 |   3    0 | 84   *   *    *    6    0   0    0 |  15    0   0    0 | 20   0   0   0 | 15   0  0  0 | 6  0 0
x . x . . . . . |   4 |   2    2 |  * 756   *    * |   1    5   0    0 |   5   10   0    0 | 10  10   0   0 | 10   5  0  0 | 5  1 0
. o3x . . . . . |   3 |   0    3 |  *   * 504    * |   1    0   5    0 |   5    0  10    0 | 10   0  10   0 | 10   0  5  0 | 5  0 1
. . x3o . . . . |   3 |   0    3 |  *   *   * 2520 |   0    1   1    4 |   1    4   4    6 |  4   6   6   4 |  6   4  4  1 | 4  1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x . . . . .   12 |  12   12 |  4   6   4    0 | 126    *   *    *    5    0   0    0 | 10   0   0   0 | 10   0  0  0 | 5  0 0
x . x3o . . . .    6 |   3    6 |  0   3   0    2 |   * 1260   *    * |   1    4   0    0 |  4   6   0   0 |  6   4  0  0 | 4  1 0
. o3x3o . . . .    6 |   0   12 |  0   0   4    4 |   *    * 630    * |   1    0   4    0 |  4   0   6   0 |  6   0  4  0 | 4  0 1
. . x3o3o . . .    4 |   0    6 |  0   0   0    4 |   *    *   * 2520 |   0    1   1    3 |  1   3   3   3 |  3   3  3  1 | 3  1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o . . . .   30 |  30   60 | 10  30  20   20 |   5   10   5    0 | 126    *   *    *   4   0   0   0 |  6   0  0  0 | 4  0 0
x . x3o3o . . .    8 |   4   12 |  0   6   0    8 |   0    4   0    2 |   * 1260   *    * |  1   3   0   0 |  3   3  0  0 | 3  1 0
. o3x3o3o . . .   10 |   0   30 |  0   0  10   20 |   0    0   5    5 |   *    * 504    * |  1   0   3   0 |  3   0  3  0 | 3  0 1
. . x3o3o3o . .    5 |   0   10 |  0   0   0   10 |   0    0   0    5 |   *    *   * 1512 |  0   1   1   2 |  1   2  2  1 | 2  1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o3o . . .   60 |  60  180 | 20  90  60  120 |  15   60  30   30 |   6   15   6    0 | 84   *   *   * |  3   0  0  0 | 3  0 0
x . x3o3o3o . .   10 |   5   20 |  0  10   0   20 |   0   10   0   10 |   0    5   0    2 |  * 756   *   * |  1   2  0  0 | 2  1 0
. o3x3o3o3o . .   15 |   0   60 |  0   0  20   60 |   0    0  15   30 |   0    0   6    6 |  *   * 252   * |  1   0  2  0 | 2  0 1
. . x3o3o3o3o .    6 |   0   15 |  0   0   0   20 |   0    0   0   15 |   0    0   0    6 |  *   *   * 504 |  0   1  1  1 | 1  1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o3o3o . .  105 | 105  420 | 35 210 140  420 |  35  210 105  210 |  21  105  42   42 |  7  21   7   0 | 36   *  *  * | 2  0 0
x . x3o3o3o3o .   12 |   6   30 |  0  15   0   40 |   0   20   0   30 |   0   15   0   12 |  0   6   0   2 |  * 252  *  * | 1  1 0
. o3x3o3o3o3o .   21 |   0  105 |  0   0  35  140 |   0    0  35  105 |   0    0  21   42 |  0   0   7   7 |  *   * 72  * | 1  0 1
. . x3o3o3o3o3o    7 |   0   21 |  0   0   0   35 |   0    0   0   35 |   0    0   0   21 |  0   0   0   7 |  *   *  * 72 | 0  1 1
----------------+-----+----------+-----------------+-------------------+-------------------+----------------+--------------+-------
x3o3x3o3o3o3o .  168 | 168  840 | 56 420 280 1120 |  70  560 280  840 |  56  420 168  336 | 28 168  56  56 |  8  28  8  0 | 9  * *
x . x3o3o3o3o3o   14 |   7   42 |  0  21   0   70 |   0   35   0   70 |   0   35   0   42 |  0  21   0  14 |  0   7  0  2 | * 36 *
. o3x3o3o3o3o3o   28 |   0  168 |  0   0  56  280 |   0    0  70  280 |   0    0  56  168 |  0   0  28  56 |  0   0  8  8 | *  * 9

oxx3xxo3oox3ooo3ooo3ooo3ooo&#xt   → all heights = 3/4
(roc || pseudo toc || saro)

... 

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