Incidence matrix according to Dynkin symbol

xxo oxx4xxx&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                    height(2,3) = sqrt(3)/2 = 0.866025
(cube || pseudo op || {8})

o.. o..4o..    | 8  * * | 1 2  2 0 0 0  0 0 0 | 2 1 2 1 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0
.o. .o.4.o.    | * 16 * | 0 0  1 1 1 1  1 0 0 | 0 0 1 1 1 1 1 1 1 1 1 0 | 0 1 1 1 1 1 1
..o ..o4..o    | *  * 8 | 0 0  0 0 0 0  2 1 1 | 0 0 0 0 0 0 0 0 1 2 2 1 | 0 0 0 0 1 1 2
---------------+--------+---------------------+-------------------------+--------------
x.. ... ...    | 2  0 0 | 4 *  * * * *  * * * | 2 0 2 0 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0 0
... ... x..    | 2  0 0 | * 8  * * * *  * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0
oo. oo.4oo.&#x | 1  1 0 | * * 16 * * *  * * * | 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0
.x. ... ...    | 0  2 0 | * *  * 8 * *  * * * | 0 0 1 0 0 1 1 0 1 0 0 0 | 0 1 1 0 1 1 0
... .x. ...    | 0  2 0 | * *  * * 8 *  * * * | 0 0 0 1 0 1 0 1 0 1 0 0 | 0 1 0 1 1 0 1
... ... .x.    | 0  2 0 | * *  * * * 8  * * * | 0 0 0 0 1 0 1 1 0 0 1 0 | 0 0 1 1 0 1 1
.oo .oo4.oo&#x | 0  1 1 | * *  * * * * 16 * * | 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 0 0 1 1 1
... ..x ...    | 0  0 2 | * *  * * * *  * 4 * | 0 0 0 0 0 0 0 0 0 2 0 1 | 0 0 0 0 1 0 2
... ... ..x    | 0  0 2 | * *  * * * *  * * 4 | 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 0 1 2
---------------+--------+---------------------+-------------------------+--------------
x.. ... x..    | 4  0 0 | 2 2  0 0 0 0  0 0 0 | 4 * * * * * * * * * * * | 1 0 1 0 0 0 0
... o..4x..    | 4  0 0 | 0 4  0 0 0 0  0 0 0 | * 2 * * * * * * * * * * | 1 0 0 1 0 0 0
xx. ... ...&#x | 2  2 0 | 1 0  2 1 0 0  0 0 0 | * * 8 * * * * * * * * * | 0 1 1 0 0 0 0
... ox. ...&#x | 1  2 0 | 0 0  2 0 1 0  0 0 0 | * * * 8 * * * * * * * * | 0 1 0 1 0 0 0
... ... xx.&#x | 2  2 0 | 0 1  2 0 0 1  0 0 0 | * * * * 8 * * * * * * * | 0 0 1 1 0 0 0
.x. .x. ...    | 0  4 0 | 0 0  0 2 2 0  0 0 0 | * * * * * 4 * * * * * * | 0 1 0 0 1 0 0
.x. ... .x.    | 0  4 0 | 0 0  0 2 0 2  0 0 0 | * * * * * * 4 * * * * * | 0 0 1 0 0 1 0
... .x.4.x.    | 0  8 0 | 0 0  0 0 4 4  0 0 0 | * * * * * * * 2 * * * * | 0 0 0 1 0 0 1
.xo ... ...&#x | 0  2 1 | 0 0  0 1 0 0  2 0 0 | * * * * * * * * 8 * * * | 0 0 0 0 1 1 0
... .xx ...&#x | 0  2 2 | 0 0  0 0 1 0  2 1 0 | * * * * * * * * * 8 * * | 0 0 0 0 1 0 1
... ... .xx&#x | 0  2 2 | 0 0  0 0 0 1  2 0 1 | * * * * * * * * * * 8 * | 0 0 0 0 0 1 1
... ..x4..x    | 0  0 8 | 0 0  0 0 0 0  0 4 4 | * * * * * * * * * * * 1 | 0 0 0 0 0 0 2
---------------+--------+---------------------+-------------------------+--------------
x.. o..4x..    ♦ 8  0 0 | 4 8  0 0 0 0  0 0 0 | 4 2 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * *
xx. ox. ...&#x ♦ 2  4 0 | 1 0  4 2 2 0  0 0 0 | 0 0 2 2 0 1 0 0 0 0 0 0 | * 4 * * * * *
xx. ... xx.&#x ♦ 4  4 0 | 2 2  4 2 0 2  0 0 0 | 1 0 2 0 2 0 1 0 0 0 0 0 | * * 4 * * * *
... ox.4xx.&#x ♦ 4  8 0 | 0 4  8 0 4 4  0 0 0 | 0 1 0 4 4 0 0 1 0 0 0 0 | * * * 2 * * *
.xo .xx ...&#x ♦ 0  4 2 | 0 0  0 2 2 0  4 1 0 | 0 0 0 0 0 1 0 0 2 2 0 0 | * * * * 4 * *
.xo ... .xx&#x ♦ 0  4 2 | 0 0  0 2 0 2  4 0 1 | 0 0 0 0 0 0 1 0 2 0 2 0 | * * * * * 4 *
... .xx4.xx&#x ♦ 0  8 8 | 0 0  0 0 4 4  8 4 4 | 0 0 0 0 0 0 0 1 0 4 4 1 | * * * * * * 2