Incidence matrix according to Dynkin symbol

ofx3xoo3ooo3ooo3ooo&#xt   → height(1,2) = sqrt[(1+3 sqrt(5))/24] = 0.566723
                            height(2,3) = sqrt[(9+5 sqrt(5))/24] = 0.916977
(rix || pseudo f-hix || hix)

o..3o..3o..3o..3o..     | 15 * * |  4  2 0  0 |  4 12  1  8  0 |  6  8  4 12  0 | 4 2  6  8 0 | 1 4 2 0
.o.3.o.3.o.3.o.3.o.     |  * 6 * |  0  5 1  0 |  0  0  5 10  0 |  0  0 10 10  0 | 0 0 10  5 0 | 0 5 1 0
..o3..o3..o3..o3..o     |  * * 6 |  0  0 1  5 |  0  0  5  0 10 |  0  0 10  0 10 | 0 0 10  0 5 | 0 5 0 1
------------------------+--------+------------+----------------+----------------+-------------+--------
... x.. ... ... ...     |  2 0 0 | 60  * *  * |  1  3  0  1  0 |  3  3  1  3  0 | 3 1  3  3 0 | 1 3 1 0
oo.3oo.3oo.3oo.3oo.&#x  |  1 1 0 |  * 30 *  * |  0  0  1  4  0 |  0  0  4  6  0 | 0 0  6  4 0 | 0 4 1 0
.oo3.oo3.oo3.oo3.oo&#x  |  0 1 1 |  *  * 6  * ♦  0  0  5  0  0 |  0  0 10  0  0 | 0 0 10  0 0 | 0 5 0 0
..x ... ... ... ...     |  0 0 2 |  *  * * 15 |  0  0  1  0  4 |  0  0  4  0  6 | 0 0  6  0 4 | 0 4 0 1
------------------------+--------+------------+----------------+----------------+-------------+--------
o..3x.. ... ... ...     |  3 0 0 |  3  0 0  0 | 20  *  *  *  * |  3  0  1  0  0 | 3 0  3  0 0 | 1 3 0 0
... x..3o.. ... ...     |  3 0 0 |  3  0 0  0 |  * 60  *  *  * |  1  2  0  1  0 | 2 1  1  2 0 | 1 2 1 0
ofx ... ... ... ...&#xt |  1 2 2 |  0  2 2  1 |  *  * 15  *  * ♦  0  0  4  0  0 | 0 0  6  0 0 | 0 4 0 0
... xo. ... ... ...&#x  |  2 1 0 |  1  2 0  0 |  *  *  * 60  * |  0  0  1  3  0 | 0 0  3  3 0 | 0 3 1 0
..x3..o ... ... ...     |  0 0 3 |  0  0 0  3 |  *  *  *  * 20 |  0  0  1  0  3 | 0 0  3  0 3 | 0 3 0 1
------------------------+--------+------------+----------------+----------------+-------------+--------
o..3x..3o.. ... ...     ♦  6 0 0 | 12  0 0  0 |  4  4  0  0  0 | 15  *  *  *  * | 2 0  1  0 0 | 1 2 0 0
... x..3o..3o.. ...     ♦  4 0 0 |  6  0 0  0 |  0  4  0  0  0 |  * 30  *  *  * | 1 1  0  1 0 | 1 1 1 0
ofx3xoo ... ... ...&#xt ♦  3 3 3 |  3  6 3  3 |  1  0  3  3  1 |  *  * 20  *  * | 0 0  3  0 0 | 0 3 0 0
... xo.3oo. ... ...&#x  ♦  3 1 0 |  3  3 0  0 |  0  1  0  3  0 |  *  *  * 60  * | 0 0  1  2 0 | 0 2 1 0
..x3..o3..o ... ...     ♦  0 0 4 |  0  0 0  6 |  0  0  0  0  4 |  *  *  *  * 15 | 0 0  1  0 2 | 0 2 0 1
------------------------+--------+------------+----------------+----------------+-------------+--------
o..3x..3o..3o.. ...     ♦ 10 0 0 | 30  0 0  0 | 10 20  0  0  0 |  5  5  0  0  0 | 6 *  *  * * | 1 1 0 0
... x..3o..3o..3o..     ♦  5 0 0 | 10  0 0  0 |  0 10  0  0  0 |  0  5  0  0  0 | * 6  *  * * | 1 0 1 0
ofx3xoo3ooo ... ...&#xt ♦  6 4 4 | 12 12 4  6 |  4  4  6 12  4 |  1  0  4  4  1 | * * 15  * * | 0 2 0 0
... xo.3oo.3oo. ...&#x  ♦  4 1 0 |  6  4 0  0 |  0  4  0  6  0 |  0  1  0  4  0 | * *  * 30 * | 0 1 1 0
..x3..o3..o3..o ...     ♦  0 0 5 |  0  0 0 10 |  0  0  0  0 10 |  0  0  0  0  5 | * *  *  * 6 | 0 1 0 1
------------------------+--------+------------+----------------+----------------+-------------+--------
o..3x..3o..3o..3o..     ♦ 15 0 0 | 60  0 0  0 | 20 60  0  0  0 | 15 30  0  0  0 | 6 6  0  0 0 | 1 * * *
ofx3xoo3ooo3ooo ...&#xt ♦ 10 5 5 | 30 20 5 10 | 10 20 10 30 10 |  5  5 10 20  5 | 1 0  5  5 1 | * 6 * *
... xo.3oo.3oo.3oo.&#x  ♦  5 1 0 | 10  5 0  0 |  0 10  0 10  0 |  0  5  0 10  0 | 0 1  0  5 0 | * * 6 *
..x3..o3..o3..o3..o     ♦  0 0 6 |  0  0 0 15 |  0  0  0  0 20 |  0  0  0  0 15 | 0 0  0  0 1 | * * * 1