o   p  		-- o3o3o3o3x (hix)
         
P   S   p		-- x3o3o3o3x (scad)

where:
o - o3o3o3o (point)
p - x3o3o3o (pen)
S - x3o3o3x (spid)
P - o3o3o3x (dual pen)

Incidence matrix according to Dynkin symbol

xx3oo3oo3oo3ox&#xt   → height = sqrt(7/12) = 0.763763
(hix || scad)

o.3o.3o.3o.3o.    | 6  * |  5  5  0  0 | 10 20 10  0  0  0 | 10 30 30 10  0  0  0  0 | 5 20 30 20  5 0  0  0  0 0 | 1 5 10 10  5 1 0
.o3.o3.o3.o3.o    | * 30 |  0  1  4  4 |  0  4  4  6 12  6 |  0  6 12  6  4 12 12  4 | 0  4 12 12  4 1  4  6  4 1 | 0 1  4  6  4 1 1
------------------+------+-------------+-------------------+-------------------------+----------------------------+-----------------
x. .. .. .. ..    | 2  0 | 15  *  *  * |  4  4  0  0  0  0 |  6 12  6  0  0  0  0  0 | 4 12 12  4  0 0  0  0  0 0 | 1 4  6  4  1 0 0
oo3oo3oo3oo3oo&#x | 1  1 |  * 30  *  * |  0  4  4  0  0  0 |  0  6 12  6  0  0  0  0 | 0  4 12 12  4 0  0  0  0 0 | 0 1  4  6  4 1 0
.x .. .. .. ..    | 0  2 |  *  * 60  * |  0  1  0  3  3  0 |  0  3  3  0  3  6  3  0 | 0  3  6  3  0 1  3  3  1 0 | 0 1  3  3  1 0 1
.. .. .. .. .x    | 0  2 |  *  *  * 60 |  0  0  1  0  3  3 |  0  0  3  3  0  3  6  3 | 0  0  3  6  3 0  1  3  3 1 | 0 0  1  3  3 1 1
------------------+------+-------------+-------------------+-------------------------+----------------------------+-----------------
x.3o. .. .. ..    | 3  0 |  3  0  0  0 | 20  *  *  *  *  * |  3  3  0  0  0  0  0  0 | 3  6  3  0  0 0  0  0  0 0 | 1 3  3  1  0 0 0
xx .. .. .. ..&#x | 2  2 |  1  2  1  0 |  * 60  *  *  *  * |  0  3  3  0  0  0  0  0 | 0  3  6  3  0 0  0  0  0 0 | 0 1  3  3  1 0 0
.. .. .. .. ox&#x | 1  2 |  0  2  0  1 |  *  * 60  *  *  * |  0  0  3  3  0  0  0  0 | 0  0  3  6  3 0  0  0  0 0 | 0 0  1  3  3 1 0
.x3.o .. .. ..    | 0  3 |  0  0  3  0 |  *  *  * 60  *  * |  0  1  0  0  2  2  0  0 | 0  2  2  0  0 1  2  1  0 0 | 0 1  2  1  0 0 1
.x .. .. .. .x    | 0  4 |  0  0  2  2 |  *  *  *  * 90  * |  0  0  1  0  0  2  2  0 | 0  0  2  2  0 0  1  2  1 0 | 0 0  1  2  1 0 1
.. .. .. .o3.x    | 0  3 |  0  0  0  3 |  *  *  *  *  * 60 |  0  0  0  1  0  0  2  2 | 0  0  0  2  2 0  0  1  2 1 | 0 0  0  1  2 1 1
------------------+------+-------------+-------------------+-------------------------+----------------------------+-----------------
x.3o.3o. .. ..    ♦ 4  0 |  6  0  0  0 |  4  0  0  0  0  0 | 15  *  *  *  *  *  *  * | 2  2  0  0  0 0  0  0  0 0 | 1 2  1  0  0 0 0
xx3oo .. .. ..&#x ♦ 3  3 |  3  3  3  0 |  1  3  0  1  0  0 |  * 60  *  *  *  *  *  * | 0  2  2  0  0 0  0  0  0 0 | 0 1  2  1  0 0 0
xx .. .. .. ox&#x ♦ 2  4 |  1  4  2  2 |  0  2  2  0  1  0 |  *  * 90  *  *  *  *  * | 0  0  2  2  0 0  0  0  0 0 | 0 0  1  2  1 0 0
.. .. .. oo3ox&#x ♦ 1  3 |  0  3  0  3 |  0  0  3  0  0  1 |  *  *  * 60  *  *  *  * | 0  0  0  2  2 0  0  0  0 0 | 0 0  0  1  2 1 0
.x3.o3.o .. ..    ♦ 0  4 |  0  0  6  0 |  0  0  0  4  0  0 |  *  *  *  * 30  *  *  * | 0  1  0  0  0 1  1  0  0 0 | 0 1  1  0  0 0 1
.x3.o .. .. .x    ♦ 0  6 |  0  0  6  3 |  0  0  0  2  3  0 |  *  *  *  *  * 60  *  * | 0  0  1  0  0 0  1  1  0 0 | 0 0  1  1  0 0 1
.x .. .. .o3.x    ♦ 0  6 |  0  0  3  6 |  0  0  0  0  3  2 |  *  *  *  *  *  * 60  * | 0  0  0  1  0 0  0  1  1 0 | 0 0  0  1  1 0 1
.. .. .o3.o3.x    ♦ 0  4 |  0  0  0  6 |  0  0  0  0  0  4 |  *  *  *  *  *  *  * 30 | 0  0  0  0  1 0  0  0  1 1 | 0 0  0  0  1 1 1
------------------+------+-------------+-------------------+-------------------------+----------------------------+-----------------
x.3o.3o.3o. ..    ♦ 5  0 | 10  0  0  0 | 10  0  0  0  0  0 |  5  0  0  0  0  0  0  0 | 6  *  *  *  * *  *  *  * * | 1 1  0  0  0 0 0
xx3oo3oo .. ..&#x ♦ 4  4 |  6  4  6  0 |  4  6  0  4  0  0 |  1  4  0  0  1  0  0  0 | * 30  *  *  * *  *  *  * * | 0 1  1  0  0 0 0
xx3oo .. .. ox&#x ♦ 3  6 |  3  6  6  3 |  1  6  3  2  3  0 |  0  2  3  0  0  1  0  0 | *  * 60  *  * *  *  *  * * | 0 0  1  1  0 0 0
xx .. .. oo3ox&#x ♦ 2  6 |  1  6  3  6 |  0  3  6  0  3  2 |  0  0  3  2  0  0  1  0 | *  *  * 60  * *  *  *  * * | 0 0  0  1  1 0 0
.. .. oo3oo3ox&#x ♦ 1  4 |  0  4  0  6 |  0  0  6  0  0  4 |  0  0  0  4  0  0  0  1 | *  *  *  * 30 *  *  *  * * | 0 0  0  0  1 1 0
.x3.o3.o3.o ..    ♦ 0  5 |  0  0 10  0 |  0  0  0 10  0  0 |  0  0  0  0  5  0  0  0 | *  *  *  *  * 6  *  *  * * | 0 1  0  0  0 0 1
.x3.o3.o .. .x    ♦ 0  8 |  0  0 12  4 |  0  0  0  8  6  0 |  0  0  0  0  2  4  0  0 | *  *  *  *  * * 15  *  * * | 0 0  1  0  0 0 1
.x3.o .. .o3.x    ♦ 0  9 |  0  0  9  9 |  0  0  0  3  9  3 |  0  0  0  0  0  3  3  0 | *  *  *  *  * *  * 20  * * | 0 0  0  1  0 0 1
.x .. .o3.o3.x    ♦ 0  8 |  0  0  4 12 |  0  0  0  0  6  8 |  0  0  0  0  0  0  4  2 | *  *  *  *  * *  *  * 15 * | 0 0  0  0  1 0 1
.. .o3.o3.o3.x    ♦ 0  5 |  0  0  0 10 |  0  0  0  0  0 10 |  0  0  0  0  0  0  0  5 | *  *  *  *  * *  *  *  * 6 | 0 0  0  0  0 1 1
------------------+------+-------------+-------------------+-------------------------+----------------------------+-----------------
x.3o.3o.3o.3o.    ♦ 6  0 | 15  0  0  0 | 20  0  0  0  0  0 | 15  0  0  0  0  0  0  0 | 6  0  0  0  0 0  0  0  0 0 | 1 *  *  *  * * *
xx3oo3oo3oo ..&#x ♦ 5  5 | 10  5 10  0 | 10 10  0 10  0  0 |  5 10  0  0  5  0  0  0 | 1  5  0  0  0 1  0  0  0 0 | * 6  *  *  * * *
xx3oo3oo .. ox&#x ♦ 4  8 |  6  8 12  4 |  4 12  4  8  6  0 |  1  8  6  0  2  4  0  0 | 0  2  4  0  0 0  1  0  0 0 | * * 15  *  * * *
xx3oo .. oo3ox&#x ♦ 3  9 |  3  9  9  9 |  1  9  9  3  9  3 |  0  3  9  3  0  3  3  0 | 0  0  3  3  0 0  0  1  0 0 | * *  * 20  * * *
xx .. oo3oo3ox&#x ♦ 2  8 |  1  8  4 12 |  0  4 12  0  6  8 |  0  0  6  8  0  0  4  2 | 0  0  0  4  2 0  0  0  1 0 | * *  *  * 15 * *
.. oo3oo3oo3ox&#x ♦ 1  5 |  0  5  0 10 |  0  0 10  0  0 10 |  0  0  0 10  0  0  0  5 | 0  0  0  0  5 0  0  0  0 1 | * *  *  *  * 6 *
.x3.o3.o3.o3.x    ♦ 0 30 |  0  0 60 60 |  0  0  0 60 90 60 |  0  0  0  0 30 60 60 30 | 0  0  0  0  0 6 15 20 15 6 | * *  *  *  * * 1