Incidence matrix according to Dynkin symbol

:xo:3:ox:3:oo:3:oo:3*a&##x   all heights = sqrt(2/3) = 0.816497

 o. 3 o. 3 o. 3 o. 3*a    | N * ♦ 12  4  0  4 | 12 12 12  6  0  0 12  6 | 4 6 4 12 12  4 0 0 0 12 12  4 | 4 6 4 1 4 6 4 1
 .o 3 .o 3 .o 3 .o 3*a    | * N ♦  0  4 12  4 |  0  0  6 12 12 12  6 12 | 0 0 0 12  4 12 6 4 4 12  4 12 | 6 4 1 4 6 4 1 4
--------------------------+-----+-------------+-------------------------+-------------------------------+----------------
 x.   ..   ..   ..        | 2 0 | 6N  *  *  * |  2  2  1  0  0  0  1  0 | 1 2 1  2  2  0 0 0 0  2  2  0 | 1 2 1 0 1 2 1 0
 oo 3 oo 3 oo 3 oo 3*a&#x | 1 1 |  * 4N  *  * ♦  0  0  3  3  0  0  0  0 | 0 0 0  6  3  3 0 0 0  0  0  0 | 3 3 1 1 0 0 0 0
 ..   .x   ..   ..        | 0 2 |  *  * 6N  * |  0  0  0  1  2  2  0  1 | 0 0 0  2  0  2 2 1 1  2  0  2 | 2 1 0 1 2 1 0 1
:oo:3:oo:3:oo:3:oo:3*a&#x | 1 1 |  *  *  * 4N ♦  0  0  0  0  0  0  3  3 | 0 0 0  0  0  0 0 0 0  6  3  3 | 0 0 0 0 3 3 1 1
--------------------------+-----+-------------+-------------------------+-------------------------------+----------------
 x. 3 o.   ..   ..        | 3 0 |  3  0  0  0 | 4N  *  *  *  *  *  *  * | 1 1 0  1  0  0 0 0 0  1  0  0 | 1 1 0 0 1 1 0 0
 x.   ..   ..   o. 3*a    | 3 0 |  3  0  0  0 |  * 4N  *  *  *  *  *  * | 0 1 1  0  1  0 0 0 0  0  1  0 | 0 1 1 0 0 1 1 0
 xo   ..   ..   ..    &#x | 2 1 |  1  2  0  0 |  *  * 6N  *  *  *  *  * | 0 0 0  2  2  0 0 0 0  0  0  0 | 1 2 1 0 0 0 0 0
 ..   ox   ..   ..    &#x | 1 2 |  0  2  1  0 |  *  *  * 6N  *  *  *  * | 0 0 0  2  0  2 0 0 0  0  0  0 | 2 1 0 1 0 0 0 0
 .o 3 .x   ..   ..        | 0 3 |  0  0  3  0 |  *  *  *  * 4N  *  *  * | 0 0 0  1  0  0 1 1 0  1  0  0 | 1 1 0 0 1 1 0 0
 ..   .x 3 .o   ..        | 0 3 |  0  0  3  0 |  *  *  *  *  * 4N  *  * | 0 0 0  0  0  1 1 0 1  0  0  1 | 1 0 0 1 1 0 0 1
:xo:  ..   ..   ..    &#x | 2 1 |  1  0  0  2 |  *  *  *  *  *  * 6N  * | 0 0 0  0  0  0 0 0 0  2  2  0 | 0 0 0 0 1 2 1 0
 ..  :ox:  ..   ..    &#x | 1 2 |  0  0  1  2 |  *  *  *  *  *  *  * 6N | 0 0 0  0  0  0 0 0 0  2  0  2 | 0 0 0 0 2 1 0 1
--------------------------+-----+-------------+-------------------------+-------------------------------+----------------
 x. 3 o. 3 o.   ..        ♦ 4 0 |  6  0  0  0 |  4  0  0  0  0  0  0  0 | N * *  *  *  * * * *  *  *  * | 1 0 0 0 1 0 0 0
 x. 3 o.   ..   o. 3*a    ♦ 6 0 | 12  0  0  0 |  4  4  0  0  0  0  0  0 | * N *  *  *  * * * *  *  *  * | 0 1 0 0 0 1 0 0
 x.   ..   o. 3 o. 3*a    ♦ 4 0 |  6  0  0  0 |  0  4  0  0  0  0  0  0 | * * N  *  *  * * * *  *  *  * | 0 0 1 0 0 0 1 0
 xo 3 ox   ..   ..    &#x ♦ 3 3 |  3  6  3  0 |  1  0  3  3  1  0  0  0 | * * * 4N  *  * * * *  *  *  * | 1 1 0 0 0 0 0 0
 xo   ..   ..   oo 3*a&#x ♦ 3 1 |  3  3  0  0 |  0  1  3  0  0  0  0  0 | * * *  * 4N  * * * *  *  *  * | 0 1 1 0 0 0 0 0
 ..   ox 3 oo   ..    &#x ♦ 1 3 |  0  3  3  0 |  0  0  0  3  0  1  0  0 | * * *  *  * 4N * * *  *  *  * | 1 0 0 1 0 0 0 0
 .o 3 .x 3 .o   ..        ♦ 0 6 |  0  0 12  0 |  0  0  0  0  4  4  0  0 | * * *  *  *  * N * *  *  *  * | 1 0 0 0 1 0 0 0
 .o 3 .x   ..   .o 3*a    ♦ 0 4 |  0  0  6  0 |  0  0  0  0  4  0  0  0 | * * *  *  *  * * N *  *  *  * | 0 1 0 0 0 1 0 0
 ..   .x 3 .o 3 .o        ♦ 0 4 |  0  0  6  0 |  0  0  0  0  0  4  0  0 | * * *  *  *  * * * N  *  *  * | 0 0 0 1 0 0 0 1
:xo:3:ox:  ..   ..    &#x ♦ 3 3 |  3  0  3  6 |  1  0  0  0  1  0  3  3 | * * *  *  *  * * * * 4N  *  * | 0 0 0 0 1 1 0 0
:xo:  ..   ..  :oo:3*a&#x ♦ 3 1 |  3  0  0  3 |  0  1  0  0  0  0  3  0 | * * *  *  *  * * * *  * 4N  * | 0 0 0 0 0 1 1 0
 ..  :ox:3:oo:  ..    &#x ♦ 1 3 |  0  0  3  3 |  0  0  0  0  0  1  0  3 | * * *  *  *  * * * *  *  * 4N | 0 0 0 0 1 0 0 1
--------------------------+-----+-------------+-------------------------+-------------------------------+----------------
 xo 3 ox 3 oo   ..    &#x ♦ 4 6 |  6 12 12  0 |  4  0  6 12  4  4  0  0 | 1 0 0  4  0  4 1 0 0  0  0  0 | N * * * * * * *
 xo 3 ox   ..   oo 3*a&#x ♦ 6 4 | 12 12  6  0 |  4  4 12  6  4  0  0  0 | 0 1 0  4  4  0 0 1 0  0  0  0 | * N * * * * * *
 xo   ..   oo 3 oo 3*a&#x ♦ 4 1 |  6  4  0  0 |  0  4  6  0  0  0  0  0 | 0 0 1  0  4  0 0 0 0  0  0  0 | * * N * * * * *
 ..   ox 3 oo 3 oo    &#x ♦ 1 4 |  0  4  6  0 |  0  0  0  6  0  4  0  0 | 0 0 0  0  0  4 0 0 1  0  0  0 | * * * N * * * *
:xo:3:ox:3:oo:  ..    &#x ♦ 4 6 |  6  0 12 12 |  4  0  0  0  4  4  6 12 | 1 0 0  0  0  0 1 0 0  4  0  4 | * * * * N * * *
:xo:3:ox:  ..  :oo:3*a&#x ♦ 6 4 | 12  0  6 12 |  4  4  0  0  4  0 12  6 | 0 1 0  0  0  0 0 1 0  4  4  0 | * * * * * N * *
:xo:  ..  :oo:3:oo:3*a&#x ♦ 4 1 |  6  0  0  4 |  0  4  0  0  0  0  6  0 | 0 0 1  0  0  0 0 0 0  0  4  0 | * * * * * * N *
 ..  :ox:3:oo:3:oo:   &#x ♦ 1 4 |  0  0  6  4 |  0  0  0  0  0  4  0  6 | 0 0 0  0  0  0 0 0 1  0  0  4 | * * * * * * * N
                            a a    b  c  b  c    d  e  f  f  d  e  f  f   g h i  j  k  k h g i  j  k  k   l l m m l l m m

or

o. 3 o. 3 o. 3 o. 3*a    & |  N ♦ 12  8 | 12 12  36 | 4 6 4 24 32 | 20 10
---------------------------+----+-------+-----------+-------------+------
x.   ..   ..   ..        & |  2 | 6N  * |  2  2   2 | 1 2 1  4  4 |  6  2
oo 3 oo 3 oo 3 oo 3*a&#x & |  2 |  * 4N ♦  0  0   6 | 0 0 0  6  6 |  6  2
---------------------------+----+-------+-----------+-------------+------
x. 3 o.   ..   ..        & |  3 |  3  0 | 4N  *   * | 1 1 0  2  0 |  4  0
x.   ..   ..   o. 3*a    & |  3 |  3  0 |  * 4N   * | 0 1 1  0  2 |  2  2
xo   ..   ..   ..    &#x & |  3 |  1  2 |  *  * 12N | 0 0 0  2  2 |  3  1
---------------------------+----+-------+-----------+-------------+------
x. 3 o. 3 o.   ..        & ♦  4 |  6  0 |  4  0   0 | N * *  *  * |  2  0
x. 3 o.   ..   o. 3*a    & ♦  6 | 12  0 |  4  4   0 | * N *  *  * |  2  0
x.   ..   o. 3 o. 3*a    & ♦  4 |  6  0 |  0  4   0 | * * N  *  * |  0  2
xo 3 ox   ..   ..    &#x & ♦  6 |  6  6 |  2  0   6 | * * * 4N  * |  2  0
xo   ..   ..   oo 3*a&#x & ♦  4 |  3  3 |  0  1   3 | * * *  * 8N |  1  1
---------------------------+----+-------+-----------+-------------+------
xo 3 ox 3 oo   ..    &#x & ♦ 10 | 18 12 |  8  4  18 | 1 1 0  4  4 | 2N  *
xo   ..   oo 3 oo 3*a&#x & ♦  5 |  6  4 |  0  4   6 | 0 0 1  0  4 |  * 2N