Incidence matrix according to Dynkin symbol

xo4/3xo ox4/3ox3oo&#x   → height = sqrt[6 sqrt(2)-7]/2 = 0.609361
(pyramid product of a octagram and quith)

o.4/3o. o.4/3o.3o.    | 8  * | 1 1  24  0  0 | 1 24 24 12  24 0 0 | 24 12 24 12 24  6  8 0 | 12 24  6  8  6  8 1 | 6 8 1 1
.o4/3.o .o4/3.o3.o    | * 24 | 0 0   8  1  2 | 0  4  4  8  16 2 1 |  1  4  8  4  8 16  8 1 |  1  2  8  4  8  4 8 | 2 1 4 4
----------------------+------+---------------+--------------------+------------------------+---------------------+--------
x.   .. ..   .. ..    | 2  0 | 4 *   *  *  * | 1 24  0  0   0 0 0 | 24 12 24  0  0  0  0 0 | 12 24  6  8  0  0 0 | 6 8 1 0
..   x. ..   .. ..    | 2  0 | * 4   *  *  * | 1  0 24  0   0 0 0 | 24  0  0 12 24  0  0 0 | 12 24  0  0  6  8 0 | 6 8 0 1
oo4/3oo oo4/3oo3oo&#x | 1  1 | * * 192  *  * | 0  1  1  1   2 0 0 |  1  1  2  1  2  2  1 0 |  1  2  2  1  2  1 1 | 2 1 1 1
..   .. .x   .. ..    | 0  2 | * *   * 12  * | 0  0  0  8   0 2 0 |  0  4  0  4  0 16  0 1 |  1  0  8  0  8  0 8 | 2 0 4 4
..   .. ..   .x ..    | 0  2 | * *   *  * 24 | 0  0  0  0   8 1 1 |  0  0  4  0  4  8  8 1 |  0  1  4  4  4  4 8 | 1 1 4 4
----------------------+------+---------------+--------------------+------------------------+---------------------+--------
x.4/3x. ..   .. ..    | 8  0 | 4 4   0  0  0 | 1  *  *  *   * * * ♦ 24  0  0  0  0  0  0 0 | 12 24  0  0  0  0 0 | 6 8 0 0
xo   .. ..   .. ..&#x | 2  1 | 1 0   2  0  0 | * 96  *  *   * * * |  1  1  2  0  0  0  0 0 |  1  2  2  1  0  0 0 | 2 1 1 0
..   xo ..   .. ..&#x | 2  1 | 0 1   2  0  0 | *  * 96  *   * * * |  1  0  0  1  2  0  0 0 |  1  2  0  0  2  1 0 | 2 1 0 1
..   .. ox   .. ..&#x | 1  2 | 0 0   2  1  0 | *  *  * 96   * * * |  0  1  0  1  0  2  0 0 |  1  0  2  0  2  0 1 | 2 0 1 1
..   .. ..   ox ..&#x | 1  2 | 0 0   2  0  1 | *  *  *  * 192 * * |  0  0  1  0  1  1  1 0 |  0  1  1  1  1  1 1 | 1 1 1 1
..   .. .x4/3.x ..    | 0  8 | 0 0   0  4  4 | *  *  *  *   * 6 * |  0  0  0  0  0  8  0 1 |  0  0  4  0  4  0 8 | 1 0 4 4
..   .. ..   .x3.o    | 0  3 | 0 0   0  0  3 | *  *  *  *   * * 8 |  0  0  0  0  0  0  8 1 |  0  0  0  4  0  4 8 | 0 1 4 4
----------------------+------+---------------+--------------------+------------------------+---------------------+--------
xo4/3xo ..   .. ..&#x ♦ 8  1 | 4 4   8  0  0 | 1  4  4  0   0 0 0 | 24  *  *  *  *  *  * * |  1  2  0  0  0  0 0 | 2 1 0 0
xo   .. ox   .. ..&#x ♦ 2  2 | 1 0   4  1  0 | 0  2  0  2   0 0 0 |  * 48  *  *  *  *  * * |  1  0  2  0  0  0 0 | 2 0 1 0
xo   .. ..   ox ..&#x ♦ 2  2 | 1 0   4  0  1 | 0  2  0  0   2 0 0 |  *  * 96  *  *  *  * * |  0  1  1  1  0  0 0 | 1 1 1 0
..   xo ox   .. ..&#x ♦ 2  2 | 0 1   4  1  0 | 0  0  2  2   0 0 0 |  *  *  * 48  *  *  * * |  1  0  0  0  2  0 0 | 2 0 0 1
..   xo ..   ox ..&#x ♦ 2  2 | 0 1   4  0  1 | 0  0  2  0   2 0 0 |  *  *  *  * 96  *  * * |  0  1  0  0  1  1 0 | 1 1 0 1
..   .. ox4/3ox ..&#x ♦ 1  8 | 0 0   8  4  4 | 0  0  0  4   4 1 0 |  *  *  *  *  * 48  * * |  0  0  1  0  1  0 1 | 1 0 1 1
..   .. ..   ox3oo&#x ♦ 1  3 | 0 0   3  0  3 | 0  0  0  0   3 0 1 |  *  *  *  *  *  * 64 * |  0  0  0  1  0  1 1 | 0 1 1 1
..   .. .x4/3.x3.o    ♦ 0 24 | 0 0   0 12 24 | 0  0  0  0   0 6 8 |  *  *  *  *  *  *  * 1 |  0  0  0  0  0  0 8 | 0 0 4 4
----------------------+------+---------------+--------------------+------------------------+---------------------+--------
xo4/3xo ox   .. ..&#x ♦ 8  2 | 4 4  16  1  0 | 1  8  8  8   0 0 0 |  2  4  0  4  0  0  0 0 | 12  *  *  *  *  * * | 2 0 0 0
xo4/3xo ..   ox ..&#x ♦ 8  2 | 4 4  16  0  1 | 1  8  8  0   8 0 0 |  2  0  4  0  4  0  0 0 |  * 24  *  *  *  * * | 1 1 0 0
xo   .. ox4/3ox ..&#x ♦ 2  8 | 1 0  16  4  4 | 0  8  0  8   8 1 0 |  0  4  4  0  0  2  0 0 |  *  * 24  *  *  * * | 1 0 1 0
xo   .. ..   ox3oo&#x ♦ 2  3 | 1 0   6  0  3 | 0  3  0  0   6 0 1 |  0  0  3  0  0  0  2 0 |  *  *  * 32  *  * * | 0 1 1 0
..   xo ox4/3ox ..&#x ♦ 2  8 | 0 1  16  4  4 | 0  0  8  8   8 1 0 |  0  0  0  4  4  2  0 0 |  *  *  *  * 24  * * | 1 0 0 1
..   xo ..   ox3oo&#x ♦ 2  3 | 0 1   6  0  3 | 0  0  3  0   6 0 1 |  0  0  0  0  3  0  2 0 |  *  *  *  *  * 32 * | 0 1 0 1
..   .. ox4/3ox3oo&#x ♦ 1 24 | 0 0  24 12 24 | 0  0  0 12  24 6 8 |  0  0  0  0  0  6  8 1 |  *  *  *  *  *  * 8 | 0 0 1 1
----------------------+------+---------------+--------------------+------------------------+---------------------+--------
xo4/3xo ox4/3ox ..&#x ♦ 8  8 | 4 4  64  4  4 | 1 32 32 32  32 1 0 |  8 16 16 16 16  8  0 0 |  4  4  4  0  4  0 0 | 6 * * *
xo4/3xo ..   ox3oo&#x ♦ 8  3 | 4 4  24  0  3 | 1 12 12  0  24 0 1 |  3  0 12  0 12  0  8 0 |  0  3  0  4  0  4 0 | * 8 * *
xo   .. ox4/3ox3oo&#x ♦ 2 24 | 1 0  48 12 24 | 0 24  0 24  48 6 8 |  0 12 24  0  0 12 16 1 |  0  0  6  8  0  0 2 | * * 4 *
..   xo ox4/3ox3oo&#x ♦ 2 24 | 0 1  48 12 24 | 0  0 24 24  48 6 8 |  0  0  0 12 24 12 16 1 |  0  0  0  0  6  8 2 | * * * 4