x3o x    x3o x		-- x3o x x (tisdip)
              
              
              
              
x3x x    x3x x		-- x3x x x (shiddip)

  |        +-- xx3ox xx&#x (tricupe)
  +----------- xx3ox xx&#x (tricupe)

Incidence matrix according to Dynkin symbol

ox3xx xx4oo&#x   → height = sqrt(2/3) = 0.816497
(tisdip || gyrated shiddip)

o.3o. o.4o.    | 12  * |  2  2  2  0  0  0 | 1  4 1  1  2  4 0  0  0 0 | 2 2 1  2  4 2 0 0 0 | 1 2 1 2 0
.o3.o .o4.o    |  * 24 |  0  0  1  1  1  2 | 0  0 0  1  1  2 1  2  2 1 | 0 0 1  2  2 1 2 1 1 | 0 2 1 1 1
---------------+-------+-------------------+---------------------------+---------------------+----------
.. x. .. ..    |  2  0 | 12  *  *  *  *  * | 1  2 0  0  1  0 0  0  0 0 | 2 1 1  0  2 0 0 0 0 | 1 2 0 1 0
.. .. x. ..    |  2  0 |  * 12  *  *  *  * | 0  2 1  0  0  2 0  0  0 0 | 1 2 0  1  2 2 0 0 0 | 1 1 1 2 0
oo3oo oo4oo&#x |  1  1 |  *  * 24  *  *  * | 0  0 0  1  1  2 0  0  0 0 | 0 0 1  2  2 1 0 0 0 | 0 2 1 1 0
.x .. .. ..    |  0  2 |  *  *  * 12  *  * | 0  0 0  1  0  0 1  2  0 0 | 0 0 1  2  0 0 2 1 0 | 0 2 1 0 1
.. .x .. ..    |  0  2 |  *  *  *  * 12  * | 0  0 0  0  1  0 1  0  2 0 | 0 0 1  0  2 0 2 0 1 | 0 2 0 1 1
.. .. .x ..    |  0  2 |  *  *  *  *  * 24 | 0  0 0  0  0  1 0  1  1 1 | 0 0 0  1  1 1 1 1 1 | 0 1 1 1 1
---------------+-------+-------------------+---------------------------+---------------------+----------
o.3x. .. ..    |  3  0 |  3  0  0  0  0  0 | 4  * *  *  *  * *  *  * * | 2 0 1  0  0 0 0 0 0 | 1 2 0 0 0
.. x. x. ..    |  4  0 |  2  2  0  0  0  0 | * 12 *  *  *  * *  *  * * | 1 1 0  0  1 0 0 0 0 | 1 1 0 1 0
.. .. x.4o.    |  4  0 |  0  4  0  0  0  0 | *  * 3  *  *  * *  *  * * | 0 2 0  0  0 2 0 0 0 | 1 0 1 2 0
ox .. .. ..&#x |  1  2 |  0  0  2  1  0  0 | *  * * 12  *  * *  *  * * | 0 0 1  2  0 0 0 0 0 | 0 2 1 0 0
.. xx .. ..&#x |  2  2 |  1  0  2  0  1  0 | *  * *  * 12  * *  *  * * | 0 0 1  0  2 0 0 0 0 | 0 2 0 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  0  1 | *  * *  *  * 24 *  *  * * | 0 0 0  1  1 1 0 0 0 | 0 1 1 1 0
.x3.x .. ..    |  0  6 |  0  0  0  3  3  0 | *  * *  *  *  * 4  *  * * | 0 0 1  0  0 0 2 0 0 | 0 2 0 0 1
.x .. .x ..    |  0  4 |  0  0  0  2  0  2 | *  * *  *  *  * * 12  * * | 0 0 0  1  0 0 1 1 0 | 0 1 1 0 1
.. .x .x ..    |  0  4 |  0  0  0  0  2  2 | *  * *  *  *  * *  * 12 * | 0 0 0  0  1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.o    |  0  4 |  0  0  0  0  0  4 | *  * *  *  *  * *  *  * 6 | 0 0 0  0  0 1 0 1 1 | 0 0 1 1 1
---------------+-------+-------------------+---------------------------+---------------------+----------
o.3x. x. ..    ♦  6  0 |  6  3  0  0  0  0 | 2  3 0  0  0  0 0  0  0 0 | 4 * *  *  * * * * * | 1 1 0 0 0
.. x. x.4o.    ♦  8  0 |  4  8  0  0  0  0 | 0  4 2  0  0  0 0  0  0 0 | * 3 *  *  * * * * * | 1 0 0 1 0
ox3xx .. ..&#x ♦  3  6 |  3  0  6  3  3  0 | 1  0 0  3  3  0 1  0  0 0 | * * 4  *  * * * * * | 0 2 0 0 0
ox .. xx ..&#x ♦  2  4 |  0  1  4  2  0  2 | 0  0 0  2  0  2 0  1  0 0 | * * * 12  * * * * * | 0 1 1 0 0
.. xx xx ..&#x ♦  4  4 |  2  2  4  0  2  2 | 0  1 0  0  2  2 0  0  1 0 | * * *  * 12 * * * * | 0 1 0 1 0
.. .. xx4oo&#x ♦  4  4 |  0  4  4  0  0  4 | 0  0 1  0  0  4 0  0  0 1 | * * *  *  * 6 * * * | 0 0 1 1 0
.x3.x .x ..    ♦  0 12 |  0  0  0  6  6  6 | 0  0 0  0  0  0 2  3  3 0 | * * *  *  * * 4 * * | 0 1 0 0 1
.x .. .x4.o    ♦  0  8 |  0  0  0  4  0  8 | 0  0 0  0  0  0 0  4  0 2 | * * *  *  * * * 3 * | 0 0 1 0 1
.. .x .x4.o    ♦  0  8 |  0  0  0  0  4  8 | 0  0 0  0  0  0 0  0  4 2 | * * *  *  * * * * 3 | 0 0 0 1 1
---------------+-------+-------------------+---------------------------+---------------------+----------
o.3x. x.4o.    ♦ 12  0 | 12 12  0  0  0  0 | 4 12 3  0  0  0 0  0  0 0 | 4 3 0  0  0 0 0 0 0 | 1 * * * *
ox3xx xx ..&#x ♦  6 12 |  6  3 12  6  6  6 | 2  3 0  6  6  6 2  3  3 0 | 1 0 2  3  3 0 1 0 0 | * 4 * * *
ox .. xx4oo&#x ♦  4  8 |  0  4  8  4  0  8 | 0  0 1  4  0  8 0  4  0 2 | 0 0 0  4  0 2 0 1 0 | * * 3 * *
.. xx xx4oo&#x ♦  8  8 |  4  8  8  0  4  8 | 0  4 2  0  4  8 0  0  4 2 | 0 1 0  0  4 2 0 0 1 | * * * 3 *
.x3.x .x4.o    ♦  0 24 |  0  0  0 12 12 24 | 0  0 0  0  0  0 4 12 12 6 | 0 0 0  0  0 0 4 3 3 | * * * * 1

xx xx ox3xx&#x   → height = sqrt(2/3) = 0.816497
(tisdip || gyrated shiddip)

o. o. o.3o.    | 12  * | 1 1  2  2  0  0  0  0 | 1 2 2 1  2  2  1  2 0 0 0 0 0 0 | 2 1 1 2 1 2 1 2 1 0 0 0 0 | 1 1 2 1 1 0
.o .o .o3.o    |  * 24 | 0 0  0  1  1  1  1  1 | 0 0 0 0  1  1  1  1 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
x. .. .. ..    |  2  0 | 6 *  *  *  *  *  *  * | 1 2 0 0  2  0  0  0 0 0 0 0 0 0 | 2 1 0 2 1 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. ..    |  2  0 | * 6  *  *  *  *  *  * | 1 0 2 0  0  2  0  0 0 0 0 0 0 0 | 2 0 1 2 0 0 1 2 0 0 0 0 0 | 1 1 2 0 1 0
.. .. .. x.    |  2  0 | * * 12  *  *  *  *  * | 0 1 1 1  0  0  0  1 0 0 0 0 0 0 | 1 1 1 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo oo oo3oo&#x |  1  1 | * *  * 24  *  *  *  * | 0 0 0 0  1  1  1  1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. ..    |  0  2 | * *  *  * 12  *  *  * | 0 0 0 0  1  0  0  0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. ..    |  0  2 | * *  *  *  * 12  *  * | 0 0 0 0  0  1  0  0 1 0 0 1 1 0 | 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x ..    |  0  2 | * *  *  *  *  * 12  * | 0 0 0 0  0  0  1  0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x    |  0  2 | * *  *  *  *  *  * 12 | 0 0 0 0  0  0  0  1 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
x. x. .. ..    |  4  0 | 2 2  0  0  0  0  0  0 | 3 * * *  *  *  *  * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0
x. .. .. x.    |  4  0 | 2 0  2  0  0  0  0  0 | * 6 * *  *  *  *  * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x. .. x.    |  4  0 | 0 2  2  0  0  0  0  0 | * * 6 *  *  *  *  * * * * * * * | 1 0 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.3x.    |  3  0 | 0 0  3  0  0  0  0  0 | * * * 4  *  *  *  * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x |  2  2 | 1 0  0  2  1  0  0  0 | * * * * 12  *  *  * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x |  2  2 | 0 1  0  2  0  1  0  0 | * * * *  * 12  *  * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. ox ..&#x |  1  2 | 0 0  0  2  0  0  1  0 | * * * *  *  * 12  * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x |  2  2 | 0 0  1  2  0  0  0  1 | * * * *  *  *  * 12 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x .x .. ..    |  0  4 | 0 0  0  0  2  2  0  0 | * * * *  *  *  *  * 6 * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x ..    |  0  4 | 0 0  0  0  2  0  2  0 | * * * *  *  *  *  * * 6 * * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x    |  0  4 | 0 0  0  0  2  0  0  2 | * * * *  *  *  *  * * * 6 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x .x ..    |  0  4 | 0 0  0  0  0  2  2  0 | * * * *  *  *  *  * * * * 6 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x    |  0  4 | 0 0  0  0  0  2  0  2 | * * * *  *  *  *  * * * * * 6 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x3.x    |  0  6 | 0 0  0  0  0  0  3  3 | * * * *  *  *  *  * * * * * * 4 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
x. x. .. x.    ♦  8  0 | 4 4  4  0  0  0  0  0 | 2 2 2 0  0  0  0  0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.3x.    ♦  6  0 | 3 0  6  0  0  0  0  0 | 0 3 0 2  0  0  0  0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * | 1 0 0 1 0 0
.. x. o.3x.    ♦  6  0 | 0 3  6  0  0  0  0  0 | 0 0 3 2  0  0  0  0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * | 1 0 0 0 1 0
xx xx .. ..&#x ♦  4  4 | 2 2  0  4  2  2  0  0 | 1 0 0 0  2  2  0  0 1 0 0 0 0 0 | * * * 6 * * * * * * * * * | 0 1 1 0 0 0
xx .. ox ..&#x ♦  2  4 | 1 0  0  4  2  0  2  0 | 0 0 0 0  2  0  2  0 0 1 0 0 0 0 | * * * * 6 * * * * * * * * | 0 1 0 1 0 0
xx .. .. xx&#x ♦  4  4 | 2 0  2  4  2  0  0  2 | 0 1 0 0  2  0  0  2 0 0 1 0 0 0 | * * * * * 6 * * * * * * * | 0 0 1 1 0 0
.. xx ox ..&#x ♦  2  4 | 0 1  0  4  0  2  2  0 | 0 0 0 0  0  2  2  0 0 0 0 1 0 0 | * * * * * * 6 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦  4  4 | 0 2  2  4  0  2  0  2 | 0 0 1 0  0  2  0  2 0 0 0 0 1 0 | * * * * * * * 6 * * * * * | 0 0 1 0 1 0
.. .. ox3xx&#x ♦  3  6 | 0 0  3  6  0  0  3  3 | 0 0 0 1  0  0  3  3 0 0 0 0 0 1 | * * * * * * * * 4 * * * * | 0 0 0 1 1 0
.x .x .x ..    ♦  0  8 | 0 0  0  0  4  4  4  0 | 0 0 0 0  0  0  0  0 2 2 0 2 0 0 | * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.x .x .. .x    ♦  0  8 | 0 0  0  0  4  4  0  4 | 0 0 0 0  0  0  0  0 2 0 2 0 2 0 | * * * * * * * * * * 3 * * | 0 0 1 0 0 1
.x .. .x3.x    ♦  0 12 | 0 0  0  0  6  0  6  6 | 0 0 0 0  0  0  0  0 0 3 3 0 0 2 | * * * * * * * * * * * 2 * | 0 0 0 1 0 1
.. .x .x3.x    ♦  0 12 | 0 0  0  0  0  6  6  6 | 0 0 0 0  0  0  0  0 0 0 0 3 3 2 | * * * * * * * * * * * * 2 | 0 0 0 0 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
x. x. o.3x.    ♦ 12  0 | 6 6 12  0  0  0  0  0 | 3 6 6 4  0  0  0  0 0 0 0 0 0 0 | 3 2 2 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx xx ox ..&#x ♦  4  8 | 2 2  0  8  4  4  4  0 | 1 0 0 0  4  4  4  0 2 2 0 2 0 0 | 0 0 0 2 2 0 2 0 0 1 0 0 0 | * 3 * * * *
xx xx .. xx&#x ♦  8  8 | 4 4  4  8  4  4  0  4 | 2 2 2 0  4  4  0  4 2 0 2 0 2 0 | 1 0 0 2 0 2 0 2 0 0 1 0 0 | * * 3 * * *
xx .. ox3xx&#x ♦  6 12 | 3 0  6 12  6  0  6  6 | 0 3 0 2  6  0  6  6 0 3 3 0 0 2 | 0 1 0 0 3 3 0 0 2 0 0 1 0 | * * * 2 * *
.. xx ox3xx&#x ♦  6 12 | 0 3  6 12  0  6  6  6 | 0 0 3 2  0  6  6  6 0 0 0 3 3 2 | 0 0 1 0 0 0 3 3 2 0 0 0 1 | * * * * 2 *
.x .x .x3.x    ♦  0 24 | 0 0  0  0 12 12 12 12 | 0 0 0 0  0  0  0  0 6 6 6 6 6 4 | 0 0 0 0 0 0 0 0 0 3 3 2 2 | * * * * * 1

tricupe || tricupe   → height = 1

...