Incidence matrix according to Dynkin symbol

xo3oo ox8/3oo&#x   → height = sqrt[(3 sqrt(2)-2)/6] = 0.611370
(pyramid product of a triangle and an octagram)

o.3o. o.8/3o.    | 3 * ♦ 2  8 0 | 1 16  8 0 | 8 16 1 | 8 2
.o3.o .o8/3.o    | * 8 | 0  3 2 | 0  3  6 1 | 1  6 3 | 2 3
-----------------+-----+--------+-----------+--------+----
x. .. ..   ..    | 2 0 | 3  * * ♦ 1  8  0 0 | 8  8 0 | 8 1
oo3oo oo8/3oo&#x | 1 1 | * 24 * | 0  2  2 0 | 1  4 1 | 2 2
.. .. .x   ..    | 0 2 | *  * 8 | 0  0  3 1 | 0  3 3 | 1 3
-----------------+-----+--------+-----------+--------+----
x.3o. ..   ..    | 3 0 | 3  0 0 | 1  *  * * | 8  0 0 | 8 0
xo .. ..   ..&#x | 2 1 | 1  2 0 | * 24  * * | 1  2 0 | 2 1
.. .. ox   ..&#x | 1 2 | 0  2 1 | *  * 24 * | 0  2 1 | 1 2
.. .. .x8/3.o    | 0 8 | 0  0 8 | *  *  * 1 | 0  0 3 | 0 3
-----------------+-----+--------+-----------+--------+----
xo3oo ..   ..&#x ♦ 3 1 | 3  3 0 | 1  3  0 0 | 8  * * | 2 0
xo .. ox   ..&#x ♦ 2 2 | 1  4 1 | 0  2  2 0 | * 24 * | 1 1
.. .. ox8/3oo&#x ♦ 1 8 | 0  8 8 | 0  0  8 1 | *  * 3 | 0 2
-----------------+-----+--------+-----------+--------+----
xo3oo ox   ..&#x ♦ 3 2 | 3  6 1 | 1  6  3 0 | 2  3 0 | 8 *
xo .. ox8/3oo&#x ♦ 2 8 | 1 16 8 | 0  8 16 1 | 0  8 2 | * 3

xo3oo ox4/3ox&#x   → height = sqrt[(3 sqrt(2)-2)/6] = 0.611370
(pyramid product of a triangle and an octagram)

o.3o. o.4/3o.    | 3 * ♦ 2  8 0 0 | 1 16  4  4 0 | 8  8  8 1 | 4 4 2
.o3.o .o4/3.o    | * 8 | 0  3 1 1 | 0  3  3  3 1 | 1  3  3 3 | 1 1 3
-----------------+-----+----------+--------------+-----------+------
x. .. ..   ..    | 2 0 | 3  * * * ♦ 1  8  0  0 0 | 8  4  4 0 | 4 4 1
oo3oo oo4/3oo&#x | 1 1 | * 24 * * | 0  2  1  1 0 | 1  2  2 1 | 1 1 2
.. .. .x   ..    | 0 2 | *  * 4 * | 0  0  3  0 1 | 0  3  0 3 | 1 0 3
.. .. ..   .x    | 0 2 | *  * * 4 | 0  0  0  3 1 | 0  0  3 3 | 0 1 3
-----------------+-----+----------+--------------+-----------+------
x.3o. ..   ..    | 3 0 | 3  0 0 0 | 1  *  *  * * | 8  0  0 0 | 4 4 0
xo .. ..   ..&#x | 2 1 | 1  2 0 0 | * 24  *  * * | 1  1  1 0 | 1 1 1
.. .. ox   ..&#x | 1 2 | 0  2 1 0 | *  * 12  * * | 0  2  0 1 | 1 0 2
.. .. ..   ox&#x | 1 2 | 0  2 0 1 | *  *  * 12 * | 0  0  2 1 | 0 1 2
.. .. .x4/3.x    | 0 8 | 0  0 4 4 | *  *  *  * 1 | 0  0  0 3 | 0 0 3
-----------------+-----+----------+--------------+-----------+------
xo3oo ..   ..&#x ♦ 3 1 | 3  3 0 0 | 1  3  0  0 0 | 8  *  * * | 1 1 0
xo .. ox   ..&#x ♦ 2 2 | 1  4 1 0 | 0  2  2  0 0 | * 12  * * | 1 0 1
xo .. ..   ox&#x ♦ 2 2 | 1  4 0 1 | 0  2  0  2 0 | *  * 12 * | 0 1 1
.. .. ox4/3ox&#x ♦ 1 8 | 0  8 4 4 | 0  0  4  4 1 | *  *  * 3 | 0 0 2
-----------------+-----+----------+--------------+-----------+------
xo3oo ox   ..&#x ♦ 3 2 | 3  6 1 0 | 1  6  3  0 0 | 2  3  0 0 | 4 * *
xo3oo ..   ox&#x ♦ 3 2 | 3  6 0 1 | 1  6  0  3 0 | 2  0  3 0 | * 4 *
xo .. ox4/3ox&#x ♦ 2 8 | 1 16 4 4 | 0  8  8  8 1 | 0  4  4 2 | * * 3