o    		where:
     		o = o3o3o3o4o (pt)
T   o		T = x3o3o3o4o (tac)

Incidence matrix according to Dynkin symbol

xo ox3oo3oo3oo4oo&#x   → height = 1/2
(pyramid product of line with tac)

o. o.3o.3o.3o.4o.    | 2  * | 1 10  0 | 10 40  0 | 40  80  0 | 80  80  0 | 80 32 0 | 32 1
.o .o3.o3.o3.o4.o    | * 10 | 0  2  8 |  1 16 24 |  8  48 32 | 24  64 16 | 32 32 1 | 16 2
---------------------+------+---------+----------+-----------+-----------+---------+-----
x. .. .. .. .. ..    | 2  0 | 1  *  * ♦ 10  0  0 | 40   0  0 | 80   0  0 | 80  0 0 | 32 0
oo oo3oo3oo3oo4oo&#x | 1  1 | * 20  * |  1  8  0 |  8  24  0 | 24  32  0 | 32 16 0 | 16 1
.. .x .. .. .. ..    | 0  2 | *  * 40 |  0  2  6 |  1  12 12 |  6  24  8 | 12 16 1 |  8 2
---------------------+------+---------+----------+-----------+-----------+---------+-----
xo .. .. .. .. ..&#x | 2  1 | 1  2  0 | 10  *  * ♦  8   0  0 | 24   0  0 | 32  0 0 | 16 0
.. ox .. .. .. ..&#x | 1  2 | 0  2  1 |  * 80  * |  1   6  0 |  6  12  0 | 12  8 0 |  8 1
.. .x3.o .. .. ..    | 0  3 | 0  0  3 |  *  * 80 |  0   2  4 |  1   8  4 |  4  8 1 |  4 2
---------------------+------+---------+----------+-----------+-----------+---------+-----
xo ox .. .. .. ..&#x ♦ 2  2 | 1  4  1 |  2  2  0 | 40   *  * ♦  6   0  0 | 12  0 0 |  8 0
.. ox3oo .. .. ..&#x ♦ 1  3 | 0  3  3 |  0  3  1 |  * 160  * |  1   4  0 |  4  4 0 |  4 1
.. .x3.o3.o .. ..    ♦ 0  4 | 0  0  6 |  0  0  4 |  *   * 80 |  0   2  2 |  1  4 1 |  2 2
---------------------+------+---------+----------+-----------+-----------+---------+-----
xo ox3oo .. .. ..&#x ♦ 2  3 | 1  6  3 |  3  6  1 |  3   2  0 | 80   *  * |  4  0 0 |  4 0
.. ox3oo3oo .. ..&#x ♦ 1  4 | 0  4  6 |  0  6  4 |  0   4  1 |  * 160  * |  1  2 0 |  2 1
.. .x3.o3.o3.o ..    ♦ 0  5 | 0  0 10 |  0  0 10 |  0   0  5 |  *   * 32 |  0  2 1 |  1 2
---------------------+------+---------+----------+-----------+-----------+---------+-----
xo ox3oo3oo .. ..&#x ♦ 2  4 | 1  8  6 |  4 12  4 |  6   8  1 |  4   2  0 | 80  * * |  2 0
.. ox3oo3oo3oo ..&#x ♦ 1  5 | 0  5 10 |  0 10 10 |  0  10  5 |  0   5  1 |  * 64 * |  1 1
.. .x3.o3.o3.o4.o    ♦ 0 10 | 0  0 40 |  0  0 80 |  0   0 80 |  0   0 32 |  *  * 1 |  0 2
---------------------+------+---------+----------+-----------+-----------+---------+-----
xo ox3oo3oo3oo ..&#x ♦ 2  5 | 1 10 10 |  5 20 10 | 10  20  5 | 10  10  1 |  5  2 0 | 32 *
.. ox3oo3oo3oo4oo&#x ♦ 1 10 | 0 10 40 |  0 40 80 |  0  80 80 |  0  80 32 |  0 32 1 |  * 2

xo ox3oo3oo3oo *d3oo&#x   → height = 1/2
(pyramid product of line with tac)

o. o.3o.3o.3o. *d3o.    | 2  * | 1 10  0 | 10 40  0 | 40  80  0 | 80  80  0  0 | 80 16 16 0 | 16 16 1
.o .o3.o3.o3.o *d3.o    | * 10 | 0  2  8 |  1 16 24 |  8  48 32 | 24  64  8  8 | 32 16 16 1 |  8  8 2
------------------------+------+---------+----------+-----------+--------------+------------+--------
x. .. .. .. ..    ..    | 2  0 | 1  *  * ♦ 10  0  0 | 40   0  0 | 80   0  0  0 | 80  0  0 0 | 16 16 0
oo oo3oo3oo3oo *d3oo&#x | 1  1 | * 20  * |  1  8  0 |  8  24  0 | 24  32  0  0 | 32  8  8 0 |  8  8 1
.. .x .. .. ..    ..    | 0  2 | *  * 40 |  0  2  6 |  1  12 12 |  6  24  4  4 | 12  8  8 1 |  4  4 2
------------------------+------+---------+----------+-----------+--------------+------------+--------
xo .. .. .. ..    ..&#x | 2  1 | 1  2  0 | 10  *  * ♦  8   0  0 | 24   0  0  0 | 32  0  0 0 |  8  8 0
.. ox .. .. ..    ..&#x | 1  2 | 0  2  1 |  * 80  * |  1   6  0 |  6  12  0  0 | 12  4  4 0 |  4  4 1
.. .x3.o .. ..    ..    | 0  3 | 0  0  3 |  *  * 80 |  0   2  4 |  1   8  2  2 |  4  4  4 1 |  2  2 2
------------------------+------+---------+----------+-----------+--------------+------------+--------
xo ox .. .. ..    ..&#x ♦ 2  2 | 1  4  1 |  2  2  0 | 40   *  * ♦  6   0  0  0 | 12  0  0 0 |  4  4 0
.. ox3oo .. ..    ..&#x ♦ 1  3 | 0  3  3 |  0  3  1 |  * 160  * |  1   4  0  0 |  4  2  2 0 |  2  2 1
.. .x3.o3.o ..    ..    ♦ 0  4 | 0  0  6 |  0  0  4 |  *   * 80 |  0   2  1  1 |  1  2  2 1 |  1  1 2
------------------------+------+---------+----------+-----------+--------------+------------+--------
xo ox3oo .. ..    ..&#x ♦ 2  3 | 1  6  3 |  3  6  1 |  3   2  0 | 80   *  *  * |  4  0  0 0 |  2  2 0
.. ox3oo3oo ..    ..&#x ♦ 1  4 | 0  4  6 |  0  6  4 |  0   4  1 |  * 160  *  * |  1  1  1 0 |  1  1 1
.. .x3.o3.o3.o    ..    ♦ 0  5 | 0  0 10 |  0  0 10 |  0   0  5 |  *   * 16  * |  0  2  0 1 |  1  0 2
.. .x3.o3.o .. *d3.o    ♦ 0  5 | 0  0 10 |  0  0 10 |  0   0  5 |  *   *  * 16 |  0  0  2 1 |  0  1 2
------------------------+------+---------+----------+-----------+--------------+------------+--------
xo ox3oo3oo ..    ..&#x ♦ 2  4 | 1  8  6 |  4 12  4 |  6   8  1 |  4   2  0  0 | 80  *  * * |  1  1 0
.. ox3oo3oo3oo    ..&#x ♦ 1  5 | 0  5 10 |  0 10 10 |  0  10  5 |  0   5  1  0 |  * 32  * * |  1  0 1
.. ox3oo3oo .. *d3oo&#x ♦ 1  5 | 0  5 10 |  0 10 10 |  0  10  5 |  0   5  0  1 |  *  * 32 * |  0  1 1
.. .x3.o3.o3.o *d3.o    ♦ 0 10 | 0  0 40 |  0  0 80 |  0   0 80 |  0   0 16 16 |  *  *  * 1 |  0  0 2
------------------------+------+---------+----------+-----------+--------------+------------+--------
xo ox3oo3oo3oo    ..&#x ♦ 2  5 | 1 10 10 |  5 20 10 | 10  20  5 | 10  10  1  0 |  5  2  0 0 | 16  * *
xo ox3oo3oo .. *d3oo&#x ♦ 2  5 | 1 10 10 |  5 20 10 | 10  20  5 | 10  10  0  1 |  5  0  2 0 |  * 16 *
.. ox3oo3oo3oo *d3oo&#x ♦ 1 10 | 0 10 40 |  0 40 80 |  0  80 80 |  0  80 16 16 |  0 16 16 1 |  *  * 2

ooo3ooo3ooo *b3ooo3xoo&#x   → height(1,2) = height(1,3) = sqrt(7/20) = 0.591608
                              height(2,3) = 1

o..3o..3o.. *b3o..3o..    | 10 * * |  8  1  1 0 | 24  8  1  8 | 32 24  8 24 |  8  8 32 24 32 | 1  8  8 32  8  8 | 1  8  8 1
.o.3.o.3.o. *b3.o.3.o.    |  * 1 * |  0 10  0 1 |  0 40 10  0 |  0 80 40  0 |  0  0 80 80  0 | 0 16 16 80  0  0 | 1 16 16 0
..o3..o3..o *b3..o3..o    |  * * 1 |  0  0 10 1 |  0  0 10 40 |  0  0 40 80 |  0  0  0 80 80 | 0  0  0 80 16 16 | 0 16 16 1
--------------------------+--------+------------+-------------+-------------+----------------+------------------+----------
... ... ...    ... x..    |  2 0 0 | 40  *  * * |  6  1  0  1 | 12  6  1  6 |  4  4 12  6 12 | 1  4  4 12  4  4 | 1  4  4 1
oo.3oo.3oo. *b3oo.3oo.&#x |  1 1 0 |  * 10  * * |  0  8  1  0 |  0 24  8  0 |  0  0 32 24  0 | 0  8  8 32  0  0 | 1  8  8 0
o.o3o.o3o.o *b3o.o3o.o&#x |  1 0 1 |  *  * 10 * |  0  0  1  8 |  0  0  8 24 |  0  0  0 24 32 | 0  0  0 32  8  8 | 0  8  8 1
.oo3.oo3.oo *b3.oo3.oo&#x |  0 1 1 |  *  *  * 1 ♦  0  0 10  0 |  0  0 40  0 |  0  0  0 80  0 | 0  0  0 80  0  0 | 0 16 16 0
--------------------------+--------+------------+-------------+-------------+----------------+------------------+----------
... ... ...    o..3x..    |  3 0 0 |  3  0  0 0 | 80  *  *  * |  4  1  0  1 |  2  2  4  1  4 | 1  2  2  4  2  2 | 1  2  2 1
... ... ...    ... xo.&#x |  2 1 0 |  1  2  0 0 |  * 40  *  * |  0  6  1  0 |  0  0 12  6  0 | 0  4  4 12  0  0 | 1  4  4 0
ooo3ooo3ooo *b3ooo3ooo&#x |  1 1 1 |  0  1  1 1 |  *  * 10  * ♦  0  0  8  0 |  0  0  0 24  0 | 0  0  0 32  0  0 | 0  8  8 0
... ... ...    ... x.o&#x |  2 0 1 |  1  0  2 0 |  *  *  * 40 |  0  0  1  6 |  0  0  0  6 12 | 0  0  0 12  4  4 | 0  4  4 1
--------------------------+--------+------------+-------------+-------------+----------------+------------------+----------
... o.. ... *b3o..3x..    ♦  4 0 0 |  6  0  0 0 |  4  0  0  0 | 80  *  *  * |  1  1  1  0  1 | 1  1  1  1  1  1 | 1  1  1 1
... ... ...    oo.3xo.&#x ♦  3 1 0 |  3  3  0 0 |  1  3  0  0 |  * 80  *  * |  0  0  4  1  0 | 0  2  2  4  0  0 | 1  2  2 0
... ... ...    ... xoo&#x ♦  2 1 1 |  1  2  2 1 |  0  1  2  1 |  *  * 40  * ♦  0  0  0  6  0 | 0  0  0 12  0  0 | 0  4  4 0
... ... ...    o.o3x.o&#x ♦  3 0 1 |  3  0  3 0 |  1  0  0  3 |  *  *  * 80 |  0  0  0  1  4 | 0  0  0  4  2  2 | 0  2  2 1
--------------------------+--------+------------+-------------+-------------+----------------+------------------+----------
o..3o.. ... *b3o..3x..    ♦  5 0 0 | 10  0  0 0 | 10  0  0  0 |  5  0  0  0 | 16  *  *  *  * | 1  1  0  0  1  0 | 1  1  0 1
... o..3o.. *b3o..3x..    ♦  5 0 0 | 10  0  0 0 | 10  0  0  0 |  5  0  0  0 |  * 16  *  *  * | 1  0  1  0  0  1 | 1  0  1 1
... oo. ... *b3oo.3xo.&#x ♦  4 1 0 |  6  4  0 0 |  4  6  0  0 |  1  4  0  0 |  *  * 80  *  * | 0  1  1  1  0  0 | 1  1  1 0
... ... ...    ooo3xoo&#x ♦  3 1 1 |  3  3  3 1 |  1  3  3  3 |  0  1  3  1 |  *  *  * 80  * | 0  0  0  4  0  0 | 0  2  2 0
... o.o ... *b3o.o3x.o&#x ♦  4 0 1 |  6  0  4 0 |  4  0  0  6 |  1  0  0  4 |  *  *  *  * 80 | 0  0  0  1  1  1 | 0  1  1 1
--------------------------+--------+------------+-------------+-------------+----------------+------------------+----------
o..3o..3o.. *b3o..3x..    ♦ 10 0 0 | 40  0  0 0 | 80  0  0  0 | 80  0  0  0 | 16 16  0  0  0 | 1  *  *  *  *  * | 1  0  0 1
oo.3oo. ... *b3oo.3xo.&#x ♦  5 1 0 | 10  5  0 0 | 10 10  0  0 |  5 10  0  0 |  1  0  5  0  0 | * 16  *  *  *  * | 1  1  0 0
.. oo.3oo.. *b3oo.3xo.&#x ♦  5 1 0 | 10  5  0 0 | 10 10  0  0 |  5 10  0  0 |  0  1  5  0  0 | *  * 16  *  *  * | 1  0  1 0
... ooo ... *b3ooo3xoo&#x ♦  4 1 1 |  6  4  4 1 |  4  6  4  6 |  1  4  6  4 |  0  0  1  4  1 | *  *  * 80  *  * | 0  1  1 0
o.o3o.o ... *b3o.o3x.o&#x ♦  5 0 1 | 10  0  5 0 | 10  0  0 10 |  5  0  0 10 |  1  0  0  0  5 | *  *  *  * 16  * | 0  1  0 1
... o.o3o.o *b3o.o3x.o&#x ♦  5 0 1 | 10  0  5 0 | 10  0  0 10 |  5  0  0 10 |  0  1  0  0  5 | *  *  *  *  * 16 | 0  0  1 1
--------------------------+--------+------------+-------------+-------------+----------------+------------------+----------
oo.3oo3oo.. *b3oo.3xo.&#x ♦ 10 1 0 | 40 10  0 0 | 80 40  0  0 | 80 80  0  0 | 16 16 80  0  0 | 1 16 16  0  0  0 | 1  *  * *
ooo3ooo ... *b3ooo3xoo&#x ♦  5 1 1 | 10  5  5 1 | 10 10  5 10 |  5 10 10 10 |  1  0  5 10  5 | 0  1  0  5  1  0 | * 16  * *
... ooo3ooo *b3ooo3xoo&#x ♦  5 1 1 | 10  5  5 1 | 10 10  5 10 |  5 10 10 10 |  0  1  5 10  5 | 0  0  1  5  0  1 | *  * 16 *
o.o3o.o3o.o *b3o.o3x.o&#x ♦ 10 0 1 | 40  0 10 0 | 80  0  0 40 | 80  0  0 80 | 16 16  0  0 80 | 1  0  0  0 16 16 | *  *  * 1