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Incidence matrix according to Dynkin symbol

xo(-x)5xxx xux&#xt   → both heights = sqrt[(5-2 sqrt(5))/20] = 0.162460

o.  . 5o.. o..     | 20  *  * |  1  1  1  1  0  0  0  0  0 | 1 1 1  1  1  1 0  0  0 0 0 0 | 1 1 1 1 0 0  dip vertices
.o  . 5.o. .o.     |  * 10  * |  0  0  0  2  2  2  0  0  0 | 0 0 0  1  2  2 1  1  2 0 0 0 | 0 1 1 2 1 0  vertices of tall pip
..  o 5..o ..o     |  *  * 20 |  0  0  0  0  0  1  1  1  1 | 0 0 0  0  0  1 0  1  1 1 1 1 | 0 0 1 1 1 1  2stip vertices (coincide pairwise)
-------------------+----------+----------------------------+------------------------------+------------
x.  .  ... ...     |  2  0  0 | 10  *  *  *  *  *  *  *  * | 1 1 0  1  0  0 0  0  0 0 0 0 | 1 1 1 0 0 0
..  .  x.. ...     |  2  0  0 |  * 10  *  *  *  *  *  *  * | 1 0 1  0  1  0 0  0  0 0 0 0 | 1 1 0 1 0 0
..  .  ... x..     |  2  0  0 |  *  * 10  *  *  *  *  *  * | 0 1 1  0  0  1 0  0  0 0 0 0 | 1 0 1 1 0 0
oo  . 5oo. oo.&#x  |  1  1  0 |  *  *  * 20  *  *  *  *  * | 0 0 0  1  1  1 0  0  0 0 0 0 | 0 1 1 1 0 0
..  .  .x. ...&#x  |  0  2  0 |  *  *  *  * 10  *  *  *  * | 0 0 0  0  1  0 1  0  1 0 0 0 | 0 1 0 1 1 0
.o  o 5.oo .oo&#x  |  0  1  1 |  *  *  *  *  * 20  *  *  * | 0 0 0  0  0  1 0  1  1 0 0 0 | 0 0 1 1 1 0
..(-x) ... ...     |  0  0  2 |  *  *  *  *  *  * 10  *  * | 0 0 0  0  0  0 0  1  0 1 1 0 | 0 0 1 0 1 1  (coincides with following)
..  .  ..x ...     |  0  0  2 |  *  *  *  *  *  *  * 10  * | 0 0 0  0  0  0 0  0  1 1 0 1 | 0 0 0 1 1 1  (coincides with previous)
..  .  ... ..x     |  0  0  2 |  *  *  *  *  *  *  *  * 10 | 0 0 0  0  0  1 0  0  0 0 1 1 | 0 0 1 1 0 1  (coincide pairwise)
-------------------+----------+----------------------------+------------------------------+------------
x.  . 5x.. ...     | 10  0  0 |  5  5  0  0  0  0  0  0  0 | 2 * *  *  *  * *  *  * * * * | 1 1 0 0 0 0
x.  .  ... x..     |  4  0  0 |  2  0  2  0  0  0  0  0  0 | * 5 *  *  *  * *  *  * * * * | 1 0 1 0 0 0
..  .  x.. x..     |  4  0  0 |  0  2  2  0  0  0  0  0  0 | * * 5  *  *  * *  *  * * * * | 1 0 0 1 0 0
xo  .  ... ...&#x  |  2  1  0 |  1  0  0  2  0  0  0  0  0 | * * * 10  *  * *  *  * * * * | 0 1 1 0 0 0
..  .  xx. ...&#x  |  2  2  0 |  0  1  0  2  1  0  0  0  0 | * * *  * 10  * *  *  * * * * | 0 1 0 1 0 0
..  .  ... xux&#xt |  2  2  2 |  0  0  1  2  0  2  0  0  1 | * * *  *  * 10 *  *  * * * * | 0 0 1 1 0 0
.o  . 5.x. ...     |  0  5  0 |  0  0  0  0  5  0  0  0  0 | * * *  *  *  * 2  *  * * * * | 0 1 0 0 1 0
.o(-x) ... ...&#x  |  0  1  2 |  0  0  0  0  0  2  1  0  0 | * * *  *  *  * * 10  * * * * | 0 0 1 0 1 0
..  .  .xx ...&#x  |  0  2  2 |  0  0  0  0  1  2  0  1  0 | * * *  *  *  * *  * 10 * * * | 0 0 0 1 1 0
..(-x)5..x ...     |  0  0 10 |  0  0  0  0  0  0  5  5  0 | * * *  *  *  * *  *  * 2 * * | 0 0 0 0 1 1  2star
..(-x) ... ..x     |  0  0  4 |  0  0  0  0  0  0  2  0  2 | * * *  *  *  * *  *  * * 5 * | 0 0 1 0 0 1  (coincides with following)
..  .  ..x ..x     |  0  0  4 |  0  0  0  0  0  0  0  2  2 | * * *  *  *  * *  *  * * * 5 | 0 0 0 1 0 1  (coincides with previous)
-------------------+----------+----------------------------+------------------------------+------------
x.  . 5x.. x..     | 20  0  0 | 10 10 10  0  0  0  0  0  0 | 2 5 5  0  0  0 0  0  0 0 0 0 | 1 * * * * *  dip
xo  . 5xx. ...&#x  | 10  5  0 |  5  5  0 10  5  0  0  0  0 | 1 0 0  5  5  0 1  0  0 0 0 0 | * 2 * * * *  pecu
xo(-x) ... xux&#xt |  4  2  4 |  2  0  2  4  0  4  2  0  2 | 0 1 0  2  0  2 0  2  0 0 1 0 | * * 5 * * *  ebot
..  .  xxx xux&#xt |  4  4  4 |  0  2  2  4  2  4  0  2  2 | 0 0 1  0  2  2 0  0  2 0 0 1 | * * * 5 * *  hip
.o(-x)5.xx ...&#x  |  0  5 10 |  0  0  0  0  5 10  5  5  0 | 0 0 0  0  0  0 1  5  5 1 0 0 | * * * * 2 *  5/4-cu
..(-x)5..x ..x     |  0  0 20 |  0  0  0  0  0  0 10 10 10 | 0 0 0  0  0  0 0  0  0 2 5 5 | * * * * * 1  2stip = 10/4-p