Incidence matrix according to Dynkin symbol

oxx&#q   → height(1,2) = height(1,3) = sqrt(7)/2 = 1.322876
           height(2,3) = sqrt(2) = 1.414214

o..    | 1 * * | 2 2 0 0 0 | 1 1 2 0
.o.    | * 2 * | 1 0 1 1 0 | 1 0 1 1
..o    | * * 2 | 0 1 0 1 1 | 0 1 1 1
-------+-------+-----------+--------
oo.&#q | 1 1 0 | 2 * * * * | 1 0 1 0
o.o&#q | 1 0 1 | * 2 * * * | 0 1 1 0
.x.    | 0 2 0 | * * 1 * * | 1 0 0 1
.oo&#q | 0 1 1 | * * * 2 * | 0 0 1 1
..x    | 0 0 2 | * * * * 1 | 0 1 0 1
-------+-------+-----------+--------
ox.&#q | 1 2 0 | 2 0 1 0 0 | 1 * * *
o.x&#q | 1 0 2 | 0 2 0 0 1 | * 1 * *
ooo&#q | 1 1 1 | 1 1 0 1 0 | * * 2 *
.xx&#q | 0 2 2 | 0 0 1 2 1 | * * * 1