Incidence matrix according to Dynkin symbol

xxx oxx4ooo&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                    height(2,3) = 1
(line || pseudo cube || cube)

o.. o..4o..     | 2 * * | 1 4 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0
.o. .o.4.o.     | * 8 * | 0 1 1 2 1 0 0 | 1 2 2 1 2 0 0 | 2 1 2 0
..o ..o4..o     | * * 8 | 0 0 0 0 1 1 2 | 0 0 0 1 2 2 1 | 0 1 2 1
----------------+-------+---------------+---------------+--------
x.. ... ...     | 2 0 0 | 1 * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
oo. oo.4oo.&#x  | 1 1 0 | * 8 * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
.x. ... ...     | 0 2 0 | * * 4 * * * * | 1 0 2 1 0 0 0 | 2 0 2 0
... .x. ...     | 0 2 0 | * * * 8 * * * | 0 1 1 0 1 0 0 | 1 1 1 0
.oo .oo4.oo&#x  | 0 1 1 | * * * * 8 * * | 0 0 0 1 2 0 0 | 0 1 2 0
..x ... ...     | 0 0 2 | * * * * * 4 * | 0 0 0 1 0 2 0 | 0 0 2 1
... ..x ...     | 0 0 2 | * * * * * * 8 | 0 0 0 0 1 1 1 | 0 1 1 1
----------------+-------+---------------+---------------+--------
xx. ... ...&#x  | 2 2 0 | 1 2 1 0 0 0 0 | 4 * * * * * * | 2 0 0 0
... ox. ...&#x  | 1 2 0 | 0 2 0 1 0 0 0 | * 8 * * * * * | 1 1 0 0
.x. .x. ...     | 0 4 0 | 0 0 2 2 0 0 0 | * * 4 * * * * | 1 0 1 0
.xx ... ...&#x  | 0 2 2 | 0 0 1 0 2 1 0 | * * * 4 * * * | 0 0 2 0
... .xx ...&#x  | 0 2 2 | 0 0 0 1 2 0 1 | * * * * 8 * * | 0 1 1 0
..x ..x ...     | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * 4 * | 0 0 1 1
... ..x4..o     | 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * 2 | 0 1 0 1
----------------+-------+---------------+---------------+--------
xx. ox. ...&#x  ♦ 2 4 0 | 1 4 2 2 0 0 0 | 2 2 1 0 0 0 0 | 4 * * *
... oxx4ooo&#xt ♦ 1 3 3 | 0 3 0 3 3 0 3 | 0 3 0 0 3 0 1 | * 2 * *
.xx .xx ...&#x  ♦ 0 4 4 | 0 0 2 2 4 2 2 | 0 0 1 2 2 1 0 | * * 4 *
..x ..x4..o     ♦ 0 0 8 | 0 0 0 0 0 4 8 | 0 0 0 0 0 4 2 | * * * 1