o    	where: o = o3o3o3o (point)
    P	       r = o3x3o3o (rap)
r    	       P = o3o3o3x (dual pen)

Incidence matrix according to Dynkin symbol

ooo3xoo3ooo3oxo&#x   → height(1,2) = sqrt(2/5) = 0.632456
                       height(1,3) = sqrt(5/8) = 0.790569
                       height(2,3) = sqrt(3/5) = 0.774597
                       height(12,3) = sqrt(3/8) = 0.612372

o..3o..3o..3o..    | 10 * * |  6  3  1  0 0 |  3  6 12  3  3  6  0  0 | 3 2  6  6  6  1 12  3  3  6 0  0 | 1 3  3 2  6  6  6  1 3 2 0 0 | 1 3  3 2 1 0
.o.3.o.3.o.3.o.    |  * 5 * |  0  6  0  4 1 |  0  0 12 12  6  0  6  4 | 0 0  4  4 12  6 12 12  0  0 4  6 | 0 1  4 4  4  4 12  6 0 0 1 4 | 1 1  4 4 0 1
..o3..o3..o3..o    |  * * 1 ♦  0  0 10  0 5 |  0  0  0  0 30 30  0 10 | 0 0  0  0  0  0 60 30 10 20 0 10 | 0 0  0 0 20 20 30 10 5 5 0 5 | 0 5 10 5 1 1
-------------------+--------+---------------+-------------------------+----------------------------------+------------------------------+-------------
... x.. ... ...    |  2 0 0 | 30  *  *  * * |  1  2  2  0  0  1  0  0 | 2 1  2  2  1  0  2  0  1  2 0  0 | 1 2  1 1  2  2  1  0 2 1 0 0 | 1 2  1 1 1 0
oo.3oo.3oo.3oo.&#x |  1 1 0 |  * 30  *  * * |  0  0  4  2  1  0  0  0 | 0 0  2  2  4  1  4  2  0  0 0  0 | 0 1  2 2  2  2  4  1 0 0 0 0 | 1 1  2 2 0 0
o.o3o.o3o.o3o.o&#x |  1 0 1 |  *  * 10  * * ♦  0  0  0  0  3  6  0  0 | 0 0  0  0  0  0 12  3  3  6 0  0 | 0 0  0 0  6  6  6  1 3 2 0 0 | 1 3  3 2 1 0
... ... ... .x.    |  0 2 0 |  *  *  * 10 * |  0  0  0  3  0  0  3  1 | 0 0  0  0  3  3  0  3  0  0 3  3 | 0 0  1 3  0  0  3  3 0 0 1 3 | 0 0  1 3 0 1
.oo3.oo3.oo3.oo&#x |  0 1 1 |  *  *  *  * 5 ♦  0  0  0  0  6  0  0  4 | 0 0  0  0  0  0 12 12  0  0 0  6 | 0 0  0 0  4  4 12  6 0 0 0 4 | 0 1  4 4 0 1
-------------------+--------+---------------+-------------------------+----------------------------------+------------------------------+-------------
o..3x.. ... ...    |  3 0 0 |  3  0  0  0 0 | 10  *  *  *  *  *  *  * | 2 0  2  0  0  0  0  0  1  0 0  0 | 1 2  1 0  2  0  0  0 2 0 0 0 | 1 2  1 0 1 0
... x..3o.. ...    |  3 0 0 |  3  0  0  0 0 |  * 20  *  *  *  *  *  * | 1 1  0  1  0  0  0  0  0  1 0  0 | 1 1  0 1  0  1  0  0 1 1 0 0 | 1 1  0 1 1 0
... xo. ... ...&#x |  2 1 0 |  1  2  0  0 0 |  *  * 60  *  *  *  *  * | 0 0  1  1  1  0  1  0  0  0 0  0 | 0 1  1 1  1  1  1  0 0 0 0 0 | 1 1  1 1 0 0
... ... ... ox.&#x |  1 2 0 |  0  2  0  1 0 |  *  *  * 30  *  *  *  * | 0 0  0  0  2  1  0  1  0  0 0  0 | 0 0  1 2  0  0  2  1 0 0 0 0 | 1 0  1 2 0 0
ooo3ooo3ooo3ooo&#x |  1 1 1 |  0  1  1  0 1 |  *  *  *  * 30  *  *  * ♦ 0 0  0  0  0  0  4  2  0  0 0  0 | 0 0  0 0  2  2  4  1 0 0 0 0 | 0 1  2 2 0 0
... x.o ... ...&#x |  2 0 1 |  1  0  2  0 0 |  *  *  *  *  * 30  *  * | 0 0  0  0  0  0  2  0  1  2 0  0 | 0 0  0 0  2  2  1  0 2 1 0 0 | 0 2  1 1 1 0
... ... .o.3.x.    |  0 3 0 |  0  0  0  3 0 |  *  *  *  *  *  * 10  * | 0 0  0  0  0  1  0  0  0  0 2  1 | 0 0  0 2  0  0  0  1 0 0 1 2 | 1 0  0 2 0 1
... ... ... .xo&#x |  0 2 1 |  0  0  0  1 2 |  *  *  *  *  *  *  * 10 ♦ 0 0  0  0  0  0  0  3  0  0 0  3 | 0 0  0 0  0  0  3  3 0 0 0 3 | 0 0  1 3 0 1
-------------------+--------+---------------+-------------------------+----------------------------------+------------------------------+-------------
o..3x..3o.. ...    ♦  6 0 0 | 12  0  0  0 0 |  4  4  0  0  0  0  0  0 | 5 *  *  *  *  *  *  *  *  * *  * | 1 1  0 0  0  0  0  0 1 0 0 0 | 1 1  0 0 1 0
... x..3o..3o..    ♦  4 0 0 |  6  0  0  0 0 |  0  4  0  0  0  0  0  0 | * 5  *  *  *  *  *  *  *  * *  * | 1 0  0 1  0  0  0  0 0 1 0 0 | 1 0  0 1 1 0
oo.3xo. ... ...&#x ♦  3 1 0 |  3  3  0  0 0 |  1  0  3  0  0  0  0  0 | * * 20  *  *  *  *  *  *  * *  * | 0 1  1 0  1  0  0  0 0 0 0 0 | 1 1  1 0 0 0
... xo.3oo. ...&#x ♦  3 1 0 |  3  3  0  0 0 |  0  1  3  0  0  0  0  0 | * *  * 20  *  *  *  *  *  * *  * | 0 1  0 1  0  1  0  0 0 0 0 0 | 1 1  0 1 0 0
... xo. ... ox.&#x ♦  2 2 0 |  1  4  0  1 0 |  0  0  2  2  0  0  0  0 | * *  *  * 30  *  *  *  *  * *  * | 0 0  1 1  0  0  1  0 0 0 0 0 | 1 0  1 1 0 0
... ... oo.3ox.&#x ♦  1 3 0 |  0  3  0  3 0 |  0  0  0  3  0  0  1  0 | * *  *  *  * 10  *  *  *  * *  * | 0 0  0 2  0  0  0  1 0 0 0 0 | 1 0  0 2 0 0
... xoo ... ...&#x ♦  2 1 1 |  1  2  2  0 1 |  0  0  1  0  2  1  0  0 | * *  *  *  *  * 60  *  *  * *  * | 0 0  0 0  1  1  1  0 0 0 0 0 | 0 1  1 1 0 0
... ... ... oxo&#x ♦  1 2 1 |  0  2  1  1 2 |  0  0  0  1  2  0  0  1 | * *  *  *  *  *  * 30  *  * *  * | 0 0  0 0  0  0  2  1 0 0 0 0 | 0 0  1 2 0 0
o.o3x.o ... ...&#x ♦  3 0 1 |  3  0  3  0 0 |  1  0  0  0  0  3  0  0 | * *  *  *  *  *  *  * 10  * *  * | 0 0  0 0  2  0  0  0 2 0 0 0 | 0 2  1 0 1 0
... x.o3o.o ...&#x ♦  3 0 1 |  3  0  3  0 0 |  0  1  0  0  0  3  0  0 | * *  *  *  *  *  *  *  * 20 *  * | 0 0  0 0  0  1  0  0 1 1 0 0 | 0 1  0 1 1 0
... .o.3.o.3.x.    ♦  0 4 0 |  0  0  0  6 0 |  0  0  0  0  0  0  4  0 | * *  *  *  *  *  *  *  *  * 5  * | 0 0  0 1  0  0  0  0 0 0 1 1 | 1 0  0 1 0 1
... ... .oo3.xo&#x ♦  0 3 1 |  0  0  0  3 3 |  0  0  0  0  0  0  1  3 | * *  *  *  *  *  *  *  *  * * 10 | 0 0  0 0  0  0  0  1 0 0 0 2 | 0 0  0 2 0 1
-------------------+--------+---------------+-------------------------+----------------------------------+------------------------------+-------------
o..3x..3o..3o..    ♦ 10 0 0 | 30  0  0  0 0 | 10 20  0  0  0  0  0  0 | 5 5  0  0  0  0  0  0  0  0 0  0 | 1 *  * *  *  *  *  * * * * * | 1 0  0 0 1 0
oo.3xo.3oo. ...&#x ♦  6 1 0 | 12  6  0  0 0 |  4  4 12  0  0  0  0  0 | 1 0  4  4  0  0  0  0  0  0 0  0 | * 5  * *  *  *  *  * * * * * | 1 1  0 0 0 0
oo.3xo. ... ox.&#x ♦  3 2 0 |  3  6  0  1 0 |  1  0  6  3  0  0  0  0 | 0 0  2  0  3  0  0  0  0  0 0  0 | * * 10 *  *  *  *  * * * * * | 1 0  1 0 0 0
... xo.3oo.3ox.&#x ♦  4 4 0 |  6 12  0  6 0 |  0  4 12 12  0  0  4  0 | 0 1  0  4  6  4  0  0  0  0 1  0 | * *  * 5  *  *  *  * * * * * | 1 0  0 1 0 0
ooo3xoo ... ...&#x ♦  3 1 1 |  3  3  3  0 1 |  1  0  3  0  3  3  0  0 | 0 0  1  0  0  0  3  0  1  0 0  0 | * *  * * 20  *  *  * * * * * | 0 1  1 0 0 0
... xoo3ooo ...&#x ♦  3 1 1 |  3  3  3  0 1 |  0  1  3  0  3  3  0  0 | 0 0  0  1  0  0  3  0  0  1 0  0 | * *  * *  * 20  *  * * * * * | 0 1  0 1 0 0
... xoo ... oxo&#x ♦  2 2 1 |  1  4  2  1 2 |  0  0  2  2  4  1  0  1 | 0 0  0  0  1  0  2  2  0  0 0  0 | * *  * *  *  * 30  * * * * * | 0 0  1 1 0 0
... ... ooo3oxo&#x ♦  1 3 1 |  0  3  1  3 3 |  0  0  0  3  3  0  1  3 | 0 0  0  0  0  1  0  3  0  0 0  1 | * *  * *  *  *  * 10 * * * * | 0 0  0 2 0 0
o.o3x.o3o.o ...&#x ♦  6 0 1 | 12  0  6  0 0 |  4  4  0  0  0 12  0  0 | 1 0  0  0  0  0  0  0  4  4 0  0 | * *  * *  *  *  *  * 5 * * * | 0 1  0 0 1 0
... x.o3o.o3o.o&#x ♦  4 0 1 |  6  0  4  0 0 |  0  4  0  0  0  6  0  0 | 0 1  0  0  0  0  0  0  0  4 0  0 | * *  * *  *  *  *  * * 5 * * | 0 0  0 1 1 0
.o.3.o.3.o.3.x.    ♦  0 5 0 |  0  0  0 10 0 |  0  0  0  0  0  0 10  0 | 0 0  0  0  0  0  0  0  0  0 5  0 | * *  * *  *  *  *  * * * 1 * | 1 0  0 0 0 1
... .oo3.oo3.xo&#x ♦  0 4 1 |  0  0  0  6 4 |  0  0  0  0  0  0  4  6 | 0 0  0  0  0  0  0  0  0  0 1  4 | * *  * *  *  *  *  * * * * 5 | 0 0  0 1 0 1
-------------------+--------+---------------+-------------------------+----------------------------------+------------------------------+-------------
oo.3xo.3oo.3ox.&#x ♦ 10 5 0 | 30 30 10  0 0 | 10 20 60 30  0  0 10  0 | 5 5 20 20 30 10  0  0  0  0 5  0 | 1 5 10 5  0  0  0  0 0 0 1 0 | 1 *  * * * *
ooo3xoo3ooo ...&#x ♦  6 1 1 | 12  6  6  0 1 |  4  4 12  0  6 12  0  0 | 1 0  4  4  0  0 12  0  4  4 0  0 | 0 1  0 0  4  4  0  0 1 0 0 0 | * 5  * * * *
ooo3xoo ... oxo&#x ♦  3 2 1 |  3  6  3  1 2 |  1  0  6  3  6  3  0  1 | 0 0  2  0  3  0  6  3  1  0 0  0 | 0 0  1 0  2  0  3  0 0 0 0 0 | * * 10 * * *
... xoo3ooo3oxo&#x ♦  4 4 1 |  6 12  4  6 4 |  0  4 12 12 12  6  4  6 | 0 1  0  4  6  4 12 12  0  4 1  4 | 0 0  0 1  0  4  6  4 0 1 0 1 | * *  * 5 * *
o.o3x.o3o.o3o.o&#x ♦ 10 0 1 | 30  0 10  0 0 | 10 20  0  0  0 30  0  0 | 5 5  0  0  0  0  0  0 10 20 0  0 | 1 0  0 0  0  0  0  0 5 5 0 0 | * *  * * 1 *
.oo3.oo3.oo3.xo&#x ♦  0 5 1 |  0  0  0 10 5 |  0  0  0  0  0  0 10 10 | 0 0  0  0  0  0  0  0  0  0 5 10 | 0 0  0 0  0  0  0  0 0 0 1 5 | * *  * * * 1