Incidence matrix according to Dynkin symbol

xo3oo ox3oo3oo3oo4oo&#x   → height = 1/sqrt(6) = 0.408248
(pyramid product of {3} with tac)

o.3o. o.3o.3o.3o.4o.    | 3  * ♦ 2 10  0 | 1 20  40  0 | 10  80  80  0 | 40 160  80  0 | 80 160 32 0 | 80 64 1 | 32 2
.o3.o .o3.o3.o3.o4.o    | * 10 ♦ 0  3  8 | 0  3  24 24 |  1  24  72 32 |  8  72  96 16 | 24  96 48 1 | 32 48 3 | 16 3
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
x. .. .. .. .. .. ..    | 2  0 | 3  *  * ♦ 1 10   0  0 | 10  40   0  0 | 40  80   0  0 | 80  80  0 0 | 80 32 0 | 32 1
oo3oo oo3oo3oo3oo4oo&#x | 1  1 | * 30  * ♦ 0  2   8  0 |  1  16  24  0 |  8  48  32  0 | 24  64 16 0 | 32 32 1 | 16 2♦
.. .. .x .. .. .. ..    | 0  2 | *  * 40 ♦ 0  0   3  6 |  0   3  18 12 |  1  18  36  8 |  6  36 24 1 | 12 24 3 |  8 3
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
x.3o. .. .. .. .. ..    | 3  0 | 3  0  0 | 1  *   *  * ♦ 10   0   0  0 | 40   0   0  0 | 80   0  0 0 | 80  0 0 | 32 0
xo .. .. .. .. .. ..&#x | 2  1 | 1  2  0 | * 30   *  * ♦  1   8   0  0 |  8  24   0  0 | 24  32  0 0 | 32 16 0 | 16 1
.. .. ox .. .. .. ..&#x | 1  2 | 0  2  1 | *  * 120  * ♦  0   2   6  0 |  1  12  12  0 |  6  24  8 0 | 12 16 1 |  8 2
.. .. .x3.o .. .. ..    | 0  3 | 0  0  3 | *  *   * 80 ♦  0   0   3  4 |  0   3  12  4 |  1  12 12 1 |  4 12 3 |  4 3
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
xo3oo .. .. .. .. ..&#x ♦ 3  1 | 3  3  0 | 1  3   0  0 | 10   *   *  * ♦  8   0   0  0 | 24   0  0 0 | 32  0 0 | 16 0
xo .. ox .. .. .. ..&#x ♦ 2  2 | 1  4  1 | 0  2   2  0 |  * 120   *  * ♦  1   6   0  0 |  6  12  0 0 | 12  8 0 |  8 1
.. .. ox3oo .. .. ..&#x ♦ 1  3 | 0  3  3 | 0  0   3  1 |  *   * 240  * ♦  0   2   4  0 |  1   8  4 0 |  4  8 4 |  4 2
.. .. .x3.o3.o .. ..    ♦ 0  4 | 0  0  6 | 0  0   0  4 |  *   *   * 80 ♦  0   0   3  2 |  0   3  6 1 |  1  6 3 |  2 3
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
xo3oo ox .. .. .. ..&#x ♦ 3  2 | 3  6  1 | 1  6   3  0 |  2   3   0  0 | 40   *   *  * ♦  6   0  0 0 | 12  0 0 |  8 0
xo .. ox3oo .. .. ..&#x ♦ 2  3 | 1  6  3 | 0  3   6  1 |  0   3   2  0 |  * 240   *  * ♦  1   4  0 0 |  4  4 0 |  4 1
.. .. ox3oo3oo .. ..&#x ♦ 1  4 | 0  4  6 | 0  0   6  4 |  0   0   4  1 |  *   * 240  * ♦  0   2  2 0 |  1  4 1 |  2 2
.. .. .x3.o3.o3.o ..    ♦ 0  5 | 0  0 10 | 0  0   0 10 |  0   0   0  5 |  *   *   * 32 ♦  0   0  3 1 |  0  3 3 |  1 3
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
xo3oo ox3oo .. .. ..&#x ♦ 3  3 | 3  9  3 | 1  9   9  1 |  3   9   3  0 |  3   3   0  0 | 80   *  * * |  4  0 0 |  4 0
xo .. ox3oo3oo .. ..&#x ♦ 2  4 | 1  8  6 | 0  4  12  4 |  0   6   8  1 |  0   4   2  0 |  * 240  * * |  1  2 0 |  2 1
.. .. ox3oo3oo3oo ..&#x ♦ 1  5 | 0  5 10 | 0  0  10 10 |  0   0  10  5 |  0   0   5  1 |  *   * 96 * |  0  2 1 |  1 2
.. .. .x3.o3.o3.o4.o    ♦ 0 10 | 0  0 40 | 0  0   0 80 |  0   0   0 80 |  0   0   0 32 |  *   *  * 1 |  0  0 3 |  0 3
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
xo3oo ox3oo3oo .. ..&#x ♦ 3  4 | 3 12  6 | 1 12  18  4 |  4  18  12  1 |  6  12   3  0 |  4   3  0 0 | 80  * * |  2 0
xo .. ox3oo3oo3oo ..&#x ♦ 2  5 | 1 10 10 | 0  5  20 10 |  0  10  20  5 |  0  10  10  1 |  0   5  2 0 |  * 96 * |  1 1
.. .. ox3oo3oo3oo4oo&#x ♦ 1 10 | 0 10 40 | 0  0  40 80 |  0   0  80 80 |  0   0  80 32 |  0   0 32 1 |  *  * 3 |  0 2
------------------------+------+---------+-------------+---------------+---------------+-------------+---------+-----
xo3oo ox3oo3oo3oo ..&#x ♦ 3  5 | 3 15 10 | 1 15  30 10 |  5  30  30  5 | 10  30  15  1 | 10  15  3 0 |  5  3 0 | 32 *
xo .. ox3oo3oo3oo4oo&#x ♦ 2 10 | 1 20 40 | 0 10  80 80 |  0  40 160 80 |  0  80 160 32 |  0  80 64 1 |  0 32 2 |  * 3

xo3oo ox3oo3oo3oo *e3oo&#x   → height = 1/sqrt(6) = 0.408248
(pyramid product of {3} with tac)

o.3o. o.3o.3o.3o. *e3o.    | 3  * ♦ 2 10  0 | 1 20  40  0 | 10  80  80  0 | 40 160  80  0  0 | 80 160 16 16 0 | 80 32 32 1 | 16 16 2
.o3.o .o3.o3.o3.o *e3.o    | * 10 ♦ 0  3  8 | 0  3  24 24 |  1  24  72 32 |  8  72  96  8  8 | 24  96 24 24 1 | 32 24 24 3 |  8  8 3
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
x. .. .. .. .. ..    ..    | 2  0 | 3  *  * ♦ 1 10   0  0 | 10  40   0  0 | 40  80   0  0  0 | 80  80  0  0 0 | 80 16 16 0 | 16 16 1
oo3oo oo3oo3oo3oo *e3oo&#x | 1  1 | * 30  * ♦ 0  2   8  0 |  1  16  24  0 |  8  48  32  0  0 | 24  64  8  8 0 | 32 16 16 1 |  8  8 2
.. .. .x .. .. ..    ..    | 0  2 | *  * 40 ♦ 0  0   3  6 |  0   3  18 12 |  1  18  36  4  4 |  6  36 12 12 1 | 12 12 12 3 |  4  4 3
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
x.3o. .. .. .. ..    ..    | 3  0 | 3  0  0 | 1  *   *  * ♦ 10   0   0  0 | 40   0   0  0  0 | 80   0  0  0 0 | 80  0  0 0 | 16 16 0
xo .. .. .. .. ..    ..&#x | 2  1 | 1  2  0 | * 30   *  * ♦  1   8   0  0 |  8  24   0  0  0 | 24  32  0  0 0 | 32  8  8 0 |  8  8 1
.. .. ox .. .. ..    ..&#x | 1  2 | 0  2  1 | *  * 120  * ♦  0   2   6  0 |  1  12  12  0  0 |  6  24  4  4 0 | 12  8  8 1 |  4  4 2
.. .. .x3.o .. ..    ..    | 0  3 | 0  0  3 | *  *   * 80 ♦  0   0   3  4 |  0   3  12  2  2 |  1  12  6  6 1 |  4  6  6 3 |  2  2 3
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
xo3oo .. .. .. ..    ..&#x ♦ 3  1 | 3  3  0 | 1  3   0  0 | 10   *   *  * ♦  8   0   0  0  0 | 24   0  0  0 0 | 32  0  0 0 |  8  8 0
xo .. ox .. .. ..    ..&#x ♦ 2  2 | 1  4  1 | 0  2   2  0 |  * 120   *  * ♦  1   6   0  0  0 |  6  12  0  0 0 | 12  4  4 0 |  4  4 1
.. .. ox3oo .. ..    ..&#x ♦ 1  3 | 0  3  3 | 0  0   3  1 |  *   * 240  * ♦  0   2   4  0  0 |  1   8  2  2 0 |  4  4  4 1 |  2  2 2
.. .. .x3.o3.o ..    ..    ♦ 0  4 | 0  0  6 | 0  0   0  4 |  *   *   * 80 ♦  0   0   3  1  1 |  0   3  3  3 1 |  1  3  3 3 |  1  1 3
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
xo3oo ox .. .. ..    ..&#x ♦ 3  2 | 3  6  1 | 1  6   3  0 |  2   3   0  0 | 40   *   *  *  * ♦  6   0  0  0 0 | 12  0  0 0 |  4  4 0
xo .. ox3oo .. ..    ..&#x ♦ 2  3 | 1  6  3 | 0  3   6  1 |  0   3   2  0 |  * 240   *  *  * ♦  1   4  0  0 0 |  4  2  2 0 |  2  2 1
.. .. ox3oo3oo ..    ..&#x ♦ 1  4 | 0  4  6 | 0  0   6  4 |  0   0   4  1 |  *   * 240  *  * ♦  0   2  1  1 0 |  1  2  2 1 |  1  1 2
.. .. .x3.o3.o3.o    ..    ♦ 0  5 | 0  0 10 | 0  0   0 10 |  0   0   0  5 |  *   *   * 16  * ♦  0   0  3  0 1 |  0  3  0 3 |  1  0 3
.. .. .x3.o3.o .. *e3.o    ♦ 0  5 | 0  0 10 | 0  0   0 10 |  0   0   0  5 |  *   *   *  * 16 ♦  0   0  0  3 1 |  0  0  3 3 |  0  1 3
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
xo3oo ox3oo .. ..    ..&#x ♦ 3  3 | 3  9  3 | 1  9   9  1 |  3   9   3  0 |  3   3   0  0  0 | 80   *  *  * * |  4  0  0 0 |  2  2 0
xo .. ox3oo3oo ..    ..&#x ♦ 2  4 | 1  8  6 | 0  4  12  4 |  0   6   8  1 |  0   4   2  0  0 |  * 240  *  * * |  1  1  1 0 |  1  1 1
.. .. ox3oo3oo3oo    ..&#x ♦ 1  5 | 0  5 10 | 0  0  10 10 |  0   0  10  5 |  0   0   5  1  0 |  *   * 48  * * |  0  2  0 1 |  1  0 2
.. .. ox3oo3oo .. *e3oo&#x ♦ 1  5 | 0  5 10 | 0  0  10 10 |  0   0  10  5 |  0   0   5  0  1 |  *   *  * 48 * |  0  0  2 1 |  0  1 2
.. .. .x3.o3.o3.o *e3.o    ♦ 0 10 | 0  0 40 | 0  0   0 80 |  0   0   0 80 |  0   0   0 16 16 |  *   *  *  * 1 |  0  0  0 3 |  0  0 3
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
xo3oo ox3oo3oo ..    ..&#x ♦ 3  4 | 3 12  6 | 1 12  18  4 |  4  18  12  1 |  6  12   3  0  0 |  4   3  0  0 0 | 80  *  * * |  1  1 0
xo .. ox3oo3oo3oo    ..&#x ♦ 2  5 | 1 10 10 | 0  5  20 10 |  0  10  20  5 |  0  10  10  1  0 |  0   5  2  0 0 |  * 48  * * |  1  0 1
xo .. ox3oo3oo .. *e3oo&#x ♦ 2  5 | 1 10 10 | 0  5  20 10 |  0  10  20  5 |  0  10  10  0  1 |  0   5  0  2 0 |  *  * 48 * |  0  1 1
.. .. ox3oo3oo3oo *e3oo&#x ♦ 1 10 | 0 10 40 | 0  0  40 80 |  0   0  80 80 |  0   0  80 16 16 |  0   0 16 16 1 |  *  *  * 3 |  0  0 2
---------------------------+------+---------+-------------+---------------+------------------+----------------+------------+--------
xo3oo ox3oo3oo3oo    ..&#x ♦ 3  5 | 3 15 10 | 1 15  30 10 |  5  30  30  5 | 10  30  15  1  0 | 10  15  3  0 0 |  5  3  0 0 | 16  * *
xo3oo ox3oo3oo .. *e3oo&#x ♦ 3  5 | 3 15 10 | 1 15  30 10 |  5  30  30  5 | 10  30  15  0  1 | 10  15  0  3 0 |  5  0  3 0 |  * 16 *
xo .. ox3oo3oo3oo *e3oo&#x ♦ 2 10 | 1 20 40 | 0 10  80 80 |  0  40 160 80 |  0  80 160 16 16 |  0  80 32 32 1 |  0 16 16 2 |  *  * 3