Incidence matrix according to Dynkin symbol

xo3oo3oo4ox&#x   → height = sqrt[(sqrt(2)-1)/2] = 0.455090
(hex || dual tes)

o.3o.3o.4o.    | 8  * ♦  6  8  0 | 12 24 12  0 |  8 24 24  6 0 | 1  8 12  6 1 0
.o3.o3.o4.o    | * 16 |  0  4  4 |  0  6 12  6 |  0  4 12 12 4 | 0  1  4  6 4 1
---------------+------+----------+-------------+---------------+---------------
x. .. .. ..    | 2  0 | 24  *  * ♦  4  4  0  0 |  4  8  4  0 0 | 1  4  4  1 0 0
oo3oo3oo4oo&#x | 1  1 |  * 64  * |  0  3  3  0 |  0  3  6  3 0 | 0  1  3  3 1 0
.. .. .. .x    | 0  2 |  *  * 32 |  0  0  3  3 |  0  0  3  6 3 | 0  0  1  3 3 1
---------------+------+----------+-------------+---------------+---------------
x.3o. .. ..    | 3  0 |  3  0  0 | 32  *  *  * |  2  2  0  0 0 | 1  2  1  0 0 0
xo .. .. ..&#x | 2  1 |  1  2  0 |  * 96  *  * |  0  2  2  0 0 | 0  1  2  1 0 0
.. .. .. ox&#x | 1  2 |  0  2  1 |  *  * 96  * |  0  0  2  2 0 | 0  0  1  2 1 0
.. .. .o4.x    | 0  4 |  0  0  4 |  *  *  * 24 |  0  0  0  2 2 | 0  0  0  1 2 1
---------------+------+----------+-------------+---------------+---------------
x.3o.3o. ..    ♦ 4  0 |  6  0  0 |  4  0  0  0 | 16  *  *  * * | 1  1  0  0 0 0
xo3oo .. ..&#x ♦ 3  1 |  3  3  0 |  1  3  0  0 |  * 64  *  * * | 0  1  1  0 0 0
xo .. .. ox&#x ♦ 2  2 |  1  4  1 |  0  2  2  0 |  *  * 96  * * | 0  0  1  1 0 0
.. .. oo4ox&#x ♦ 1  4 |  0  4  4 |  0  0  4  1 |  *  *  * 48 * | 0  0  0  1 1 0
.. .o3.o4.x    ♦ 0  8 |  0  0 12 |  0  0  0  6 |  *  *  *  * 8 | 0  0  0  0 1 1
---------------+------+----------+-------------+---------------+---------------
x.3o.3o.4o.    ♦ 8  0 | 24  0  0 | 32  0  0  0 | 16  0  0  0 0 | 1  *  *  * * *
xo3oo3oo ..&#x ♦ 4  1 |  6  4  0 |  4  6  0  0 |  1  4  0  0 0 | * 16  *  * * *
xo3oo .. ox&#x ♦ 3  2 |  3  6  1 |  1  6  3  0 |  0  2  3  0 0 | *  * 32  * * *
xo .. oo4ox&#x ♦ 2  4 |  1  8  4 |  0  4  8  1 |  0  0  4  2 0 | *  *  * 24 * *
.. oo3oo4ox&#x ♦ 1  8 |  0  8 12 |  0  0 12  6 |  0  0  0  6 1 | *  *  *  * 8 *
.o3.o3.o4.x    ♦ 0 16 |  0  0 32 |  0  0  0 24 |  0  0  0  0 8 | *  *  *  * * 1