Incidence matrix according to Dynkin symbol

xx3ox4xo3xx4/3*a&#x   → height = sqrt[(5+sqrt(2))/7] = 0.957244

o.3o.4o.3o.4/3*a    & | 1152 |    2    2   1    2 |   1   2   2   1   2    4    3 |  1  1  2  1   3   3   2   1 | 1  2  3
----------------------+------+--------------------+-------------------------------+-----------------------------+--------
x. .. .. ..         & |    2 | 1152    *   *    * |   1   1   1   0   0    1    0 |  1  1  1  0   1   1   1   0 | 1  1  2
.. .. x. ..         & |    2 |    * 1152   *    * |   0   1   0   1   1    0    1 |  1  0  1  1   1   1   0   1 | 1  2  1
.. .. .. x.         & |    2 |    *    * 576    * |   0   0   2   0   2    2    0 |  0  1  2  1   2   1   2   0 | 1  1  3
oo3oo4oo3oo4/3*a&#x   |    2 |    *    *   * 1152 |   0   0   0   0   0    2    2 |  0  0  0  0   2   2   1   1 | 0  2  2
----------------------+------+--------------------+-------------------------------+-----------------------------+--------
x.3o. .. ..         & |    3 |    3    0   0    0 | 384   *   *   *   *    *    * |  1  1  0  0   1   0   0   0 | 1  1  1
x. .. x. ..         & |    4 |    2    2   0    0 |   * 576   *   *   *    *    * |  1  0  1  0   0   1   0   0 | 1  1  1
x. .. .. x.4/3*a    & |    8 |    4    0   4    0 |   *   * 288   *   *    *    * |  0  1  1  0   0   0   1   0 | 1  0  2  {8/3}
.. o.4x. ..         & |    4 |    0    4   0    0 |   *   *   * 288   *    *    * |  1  0  0  1   0   0   0   1 | 1  2  0
.. .. x.3x.         & |    6 |    0    3   3    0 |   *   *   *   * 384    *    * |  0  0  1  1   1   0   0   0 | 1  1  1
xx .. .. ..     &#x & |    4 |    1    0   1    2 |   *   *   *   *   * 1152    * |  0  0  0  0   1   1   1   0 | 0  1  2
.. ox .. ..     &#x & |    3 |    0    1   0    2 |   *   *   *   *   *    * 1152 |  0  0  0  0   1   1   0   1 | 0  2  1
----------------------+------+--------------------+-------------------------------+-----------------------------+--------
x.3o.4x. ..         & ♦   24 |   24   24   0    0 |   8  12   0   6   0    0    0 | 48  *  *  *   *   *   *   * | 1  1  0
x.3o. .. x.4/3*a    & ♦   24 |   24    0  12    0 |   8   0   6   0   0    0    0 |  * 48  *  *   *   *   *   * | 1  0  1
x. .. x.3x.4/3*a    & ♦   48 |   24   24  24    0 |   0  12   6   0   8    0    0 |  *  * 48  *   *   *   *   * | 1  0  1
.. o.4x.3x.         & ♦   24 |    0   24  12    0 |   0   0   0   6   8    0    0 |  *  *  * 48   *   *   *   * | 1  1  0
xx3ox .. ..     &#x & ♦    9 |    3    3   3    6 |   1   0   0   0   1    3    3 |  *  *  *  * 384   *   *   * | 0  1  1
xx .. xo ..     &#x & ♦    6 |    2    2   1    4 |   0   1   0   0   0    2    2 |  *  *  *  *   * 576   *   * | 0  1  1
xx .. .. xx4/3*a&#x   ♦   16 |    8    0   8    8 |   0   0   2   0   0    8    0 |  *  *  *  *   *   * 144   * | 0  0  2
.. ox4xo ..     &#x   ♦    8 |    0    8   0    8 |   0   0   0   2   0    0    8 |  *  *  *  *   *   *   * 144 | 0  2  0
----------------------+------+--------------------+-------------------------------+-----------------------------+--------
x.3o.4x.3x.4/3*a    & ♦  576 |  576  576 288    0 | 192 288 144 144 192    0    0 | 24 24 24 24   0   0   0   0 | 2  *  *
xx3ox4xo ..     &#x & ♦   48 |   24   48  12   48 |   8  12   0  12   8   24   48 |  1  0  0  1   8  12   0   6 | * 48  *
xx .. xo3xx4/3*a&#x & ♦   72 |   48   24  36   48 |   8  12  12   0   8   48   24 |  0  1  1  0   8  12   6   0 | *  * 48