o3x x3o      
                   
                   
                   
                   
                   
                   
x3o x3o     o3o o3x

    o    
         
        
o       o
         

         
O       O
        
         
    O    

where:
o = o3o4o (point)
O = x3o4o (oct)

Incidence matrix according to Dynkin symbol

xo3ox ox3oo4oo&#x   → height = 1/sqrt(6) = 0.408248
({3} || gyro troct)

o.3o. o.3o.4o.    | 3  * ♦ 2 12  0  0 | 1 12  6 24 0  0  0 | 6 24 12 16  0  0 0 | 12 16  8 2 0 0 | 8 2 1 0
.o3.o .o3.o4.o    | * 18 | 0  2  2  4 | 0  1  2  8 1  8  4 | 1  4  8  8  4  8 1 |  4  4  8 2 4 2 | 4 1 2 1
------------------+------+------------+--------------------+--------------------+----------------+--------
x. .. .. .. ..    | 2  0 | 3  *  *  * ♦ 1  6  0  0 0  0  0 | 6 12  0  0  0  0 0 | 12  8  0 0 0 0 | 8 1 0 0
oo3oo oo3oo4oo&#x | 1  1 | * 36  *  * | 0  1  1  4 0  0  0 | 1  4  4  4  0  0 0 |  4  4  4 1 0 0 | 4 1 1 0
.. .x .. .. ..    | 0  2 | *  * 18  * | 0  0  1  0 1  4  0 | 1  0  4  0  4  4 0 |  4  0  4 0 4 1 | 4 0 1 1
.. .. .x .. ..    | 0  2 | *  *  * 36 | 0  0  0  2 0  2  2 | 0  1  2  4  1  4 1 |  1  2  4 2 2 2 | 2 1 2 1
------------------+------+------------+--------------------+--------------------+----------------+--------
x.3o. .. .. ..    | 3  0 | 3  0  0  0 | 1  *  *  * *  *  * ♦ 6  0  0  0  0  0 0 | 12  0  0 0 0 0 | 8 0 0 0
xo .. .. .. ..&#x | 2  1 | 1  2  0  0 | * 18  *  * *  *  * | 1  4  0  0  0  0 0 |  4  4  0 0 0 0 | 4 1 0 0
.. ox .. .. ..&#x | 1  2 | 0  2  1  0 | *  * 18  * *  *  * | 1  0  4  0  0  0 0 |  4  0  4 0 0 0 | 4 0 1 0
.. .. ox .. ..&#x | 1  2 | 0  2  0  1 | *  *  * 72 *  *  * | 0  1  1  2  0  0 0 |  1  2  2 1 0 0 | 2 1 1 0
.o3.x .. .. ..    | 0  3 | 0  0  3  0 | *  *  *  * 6  *  * | 1  0  0  0  4  0 0 |  4  0  0 0 4 0 | 4 0 0 1
.. .x .x .. ..    | 0  4 | 0  0  2  2 | *  *  *  * * 36  * | 0  0  1  0  1  2 0 |  1  0  2 0 2 1 | 2 0 1 1
.. .. .x3.o ..    | 0  3 | 0  0  0  3 | *  *  *  * *  * 24 | 0  0  0  2  0  2 1 |  0  1  2 2 1 2 | 1 1 2 1
------------------+------+------------+--------------------+--------------------+----------------+--------
xo3ox .. .. ..&#x ♦ 3  3 | 3  6  3  0 | 1  3  3  0 1  0  0 | 6  *  *  *  *  * * |  4  0  0 0 0 0 | 4 0 0 0
xo .. ox .. ..&#x ♦ 2  2 | 1  4  0  1 | 0  2  0  2 0  0  0 | * 36  *  *  *  * * |  1  2  0 0 0 0 | 2 1 0 0
.. ox ox .. ..&#x ♦ 1  4 | 0  4  2  2 | 0  0  2  2 0  1  0 | *  * 36  *  *  * * |  1  0  2 0 0 0 | 2 0 1 0
.. .. ox3oo ..&#x ♦ 1  3 | 0  3  0  3 | 0  0  0  3 0  0  1 | *  *  * 48  *  * * |  0  1  1 1 0 0 | 1 1 1 0
.o3.x .x .. ..    ♦ 0  6 | 0  0  6  3 | 0  0  0  0 2  3  0 | *  *  *  * 12  * * |  1  0  0 0 2 0 | 2 0 0 1
.. .x .x3.o ..    ♦ 0  6 | 0  0  3  6 | 0  0  0  0 0  3  2 | *  *  *  *  * 24 * |  0  0  1 0 1 1 | 1 0 1 1
.. .. .x3.o4.o    ♦ 0  6 | 0  0  0 12 | 0  0  0  0 0  0  8 | *  *  *  *  *  * 3 |  0  0  0 2 0 2 | 0 1 2 1
------------------+------+------------+--------------------+--------------------+----------------+--------
xo3ox ox .. ..&#x ♦ 3  6 | 3 12  6  3 | 1  6  6  6 2  3  0 | 2  3  3  0  1  0 0 | 12  *  * * * * | 2 0 0 0
xo .. ox3oo ..&#x ♦ 2  3 | 1  6  0  3 | 0  3  0  6 0  0  1 | 0  3  0  2  0  0 0 |  * 24  * * * * | 1 1 0 0
.. ox ox3oo ..&#x ♦ 1  6 | 0  6  3  6 | 0  0  3  6 0  3  2 | 0  0  3  2  0  1 0 |  *  * 24 * * * | 1 0 1 0
.. .. ox3oo4oo&#x ♦ 1  6 | 0  6  0 12 | 0  0  0 12 0  0  8 | 0  0  0  8  0  0 1 |  *  *  * 6 * * | 0 1 1 0
.o3.x .x3.o ..    ♦ 0  9 | 0  0  9  9 | 0  0  0  0 3  9  3 | 0  0  0  0  3  3 0 |  *  *  * * 8 * | 1 0 0 1
.. .x .x3.o4.o    ♦ 0 12 | 0  0  6 24 | 0  0  0  0 0 12 16 | 0  0  0  0  0  8 2 |  *  *  * * * 3 | 0 0 1 1
------------------+------+------------+--------------------+--------------------+----------------+--------
xo3ox ox3oo ..&#x ♦ 3  9 | 3 18  9  9 | 1  9  9 18 3  9  3 | 3  9  9  6  3  3 0 |  3  3  3 0 1 0 | 8 * * *
xo .. ox3oo4oo&#x ♦ 2  6 | 1 12  0 12 | 0  6  0 24 0  0  8 | 0 12  0 16  0  0 1 |  0  8  0 2 0 0 | * 3 * *
.. ox ox3oo4oo&#x ♦ 1 12 | 0 12  6 24 | 0  0  6 24 0 12 16 | 0  0 12 16  0  8 2 |  0  0  8 2 0 1 | * * 3 *
.o3.x .x3.o4.o    ♦ 0 18 | 0  0 18 36 | 0  0  0  0 6 36 24 | 0  0  0  0 12 24 3 |  0  0  0 0 8 3 | * * * 1

xo3ox oo3ox3oo&#x   → height = 1/sqrt(6) = 0.408248
({3} || gyro troct)

o.3o. o.3o.3o.    | 3  * ♦ 2 12  0  0 | 1 12  6 24 0  0  0  0 | 6 24 12  8  8  0  0  0 0 | 12  8  8  4  4 2 0 0 0 | 4 4 2 1 0
.o3.o .o3.o3.o    | * 18 | 0  2  2  4 | 0  1  2  8 1  8  2  2 | 1  4  8  4  4  4  4  4 1 |  4  2  2  4  4 2 2 2 2 | 2 2 1 2 1
------------------+------+------------+-----------------------+--------------------------+------------------------+----------
x. .. .. .. ..    | 2  0 | 3  *  *  * ♦ 1  6  0  0 0  0  0  0 | 6 12  0  0  0  0  0  0 0 | 12  4  4  0  0 0 0 0 0 | 4 4 1 0 0
oo3oo oo3oo3oo&#x | 1  1 | * 36  *  * | 0  1  1  4 0  0  0  0 | 1  4  4  2  2  0  0  0 0 |  4  2  2  2  2 1 0 0 0 | 2 2 1 1 0
.. .x .. .. ..    | 0  2 | *  * 18  * | 0  0  1  0 1  4  0  0 | 1  0  4  0  0  4  2  2 0 |  4  0  0  2  2 0 2 2 1 | 2 2 0 1 1
.. .. .. .x ..    | 0  2 | *  *  * 36 | 0  0  0  2 0  2  1  1 | 0  1  2  2  2  1  2  2 1 |  1  1  1  2  2 2 1 1 2 | 1 1 1 2 1
------------------+------+------------+-----------------------+--------------------------+------------------------+----------
x.3o. .. .. ..    | 3  0 | 3  0  0  0 | 1  *  *  * *  *  *  * ♦ 6  0  0  0  0  0  0  0 0 | 12  0  0  0  0 0 0 0 0 | 4 4 0 0 0
xo .. .. .. ..&#x | 2  1 | 1  2  0  0 | * 18  *  * *  *  *  * | 1  4  0  0  0  0  0  0 0 |  4  2  2  0  0 0 0 0 0 | 2 2 1 0 0
.. ox .. .. ..&#x | 1  2 | 0  2  1  0 | *  * 18  * *  *  *  * | 1  0  4  0  0  0  0  0 0 |  4  0  0  2  2 0 0 0 0 | 2 2 0 1 0
.. .. .. ox ..&#x | 1  2 | 0  2  0  1 | *  *  * 72 *  *  *  * | 0  1  1  1  1  0  0  0 0 |  1  1  1  1  1 1 0 0 0 | 1 1 1 1 0
.o3.x .. .. ..    | 0  3 | 0  0  3  0 | *  *  *  * 6  *  *  * | 1  0  0  0  0  4  0  0 0 |  4  0  0  0  0 0 2 2 0 | 2 2 0 0 1
.. .x .. .x ..    | 0  4 | 0  0  2  2 | *  *  *  * * 36  *  * | 0  0  1  0  0  1  1  1 0 |  1  0  0  1  1 0 1 1 1 | 1 1 0 1 1
.. .. .o3.x ..    | 0  3 | 0  0  0  3 | *  *  *  * *  * 12  * | 0  0  0  2  0  0  2  0 1 |  0  1  0  2  0 2 1 0 2 | 1 0 1 2 1
.. .. .. .x3.o    | 0  3 | 0  0  0  3 | *  *  *  * *  *  * 12 | 0  0  0  0  2  0  0  2 1 |  0  0  1  0  2 2 0 1 2 | 0 1 1 2 1
------------------+------+------------+-----------------------+--------------------------+------------------------+----------
xo3ox .. .. ..&#x ♦ 3  3 | 3  6  3  0 | 1  3  3  0 1  0  0  0 | 6  *  *  *  *  *  *  * * |  4  0  0  0  0 0 0 0 0 | 2 2 0 0 0
xo .. .. ox ..&#x ♦ 2  2 | 1  4  0  1 | 0  2  0  2 0  0  0  0 | * 36  *  *  *  *  *  * * |  1  1  1  0  0 0 0 0 0 | 1 1 1 0 0
.. ox .. ox ..&#x ♦ 1  4 | 0  4  2  2 | 0  0  2  2 0  1  0  0 | *  * 36  *  *  *  *  * * |  1  0  0  1  1 0 0 0 0 | 1 1 0 1 0
.. .. oo3ox ..&#x ♦ 1  3 | 0  3  0  3 | 0  0  0  3 0  0  1  0 | *  *  * 24  *  *  *  * * |  0  1  0  1  0 1 0 0 0 | 1 0 1 1 0
.. .. .. ox3oo&#x ♦ 1  3 | 0  3  0  3 | 0  0  0  3 0  0  0  1 | *  *  *  * 24  *  *  * * |  0  0  1  0  1 1 0 0 0 | 0 1 1 1 0
.o3.x .. .x ..    ♦ 0  6 | 0  0  6  3 | 0  0  0  0 2  3  0  0 | *  *  *  *  * 12  *  * * |  1  0  0  0  0 0 1 1 0 | 1 1 0 0 1
.. .x .o3.x ..    ♦ 0  6 | 0  0  3  6 | 0  0  0  0 0  3  2  0 | *  *  *  *  *  * 12  * * |  0  0  0  1  0 0 1 0 1 | 1 0 0 1 1
.. .x .. .x3.o    ♦ 0  6 | 0  0  3  6 | 0  0  0  0 0  3  0  2 | *  *  *  *  *  *  * 12 * |  0  0  0  0  1 0 0 1 1 | 0 1 0 1 1
.. .. .o3.x3.o    ♦ 0  6 | 0  0  0 12 | 0  0  0  0 0  0  4  4 | *  *  *  *  *  *  *  * 3 |  0  0  0  0  0 2 0 0 2 | 0 0 1 2 1
------------------+------+------------+-----------------------+--------------------------+------------------------+----------
xo3ox .. ox ..&#x ♦ 3  6 | 3 12  6  3 | 1  6  6  6 2  3  0  0 | 2  3  3  0  0  1  0  0 0 | 12  *  *  *  * * * * * | 1 1 0 0 0
xo .. oo3ox ..&#x ♦ 2  3 | 1  6  0  3 | 0  3  0  6 0  0  1  0 | 0  3  0  2  0  0  0  0 0 |  * 12  *  *  * * * * * | 1 0 1 0 0
xo .. .. ox3oo&#x ♦ 2  3 | 1  6  0  3 | 0  3  0  6 0  0  0  1 | 0  3  0  0  2  0  0  0 0 |  *  * 12  *  * * * * * | 0 1 1 0 0
.. ox oo3ox ..&#x ♦ 1  6 | 0  6  3  6 | 0  0  3  6 0  3  2  0 | 0  0  3  2  0  0  1  0 0 |  *  *  * 12  * * * * * | 1 0 0 1 0
.. ox .. ox3oo&#x ♦ 1  6 | 0  6  3  6 | 0  0  3  6 0  3  0  2 | 0  0  3  0  2  0  0  1 0 |  *  *  *  * 12 * * * * | 0 1 0 1 0
.. .. oo3ox3oo&#x ♦ 1  6 | 0  6  0 12 | 0  0  0 12 0  0  4  4 | 0  0  0  4  4  0  0  0 1 |  *  *  *  *  * 6 * * * | 0 0 1 1 0
.o3.x .o3.x ..    ♦ 0  9 | 0  0  9  9 | 0  0  0  0 3  9  3  0 | 0  0  0  0  0  3  3  0 0 |  *  *  *  *  * * 4 * * | 1 0 0 0 1
.o3.x .. .x3.o    ♦ 0  9 | 0  0  9  9 | 0  0  0  0 3  9  0  3 | 0  0  0  0  0  3  0  3 0 |  *  *  *  *  * * * 4 * | 0 1 0 0 1
.. .x .o3.x3.o    ♦ 0 12 | 0  0  6 24 | 0  0  0  0 0 12  8  8 | 0  0  0  0  0  0  4  4 2 |  *  *  *  *  * * * * 3 | 0 0 0 1 1
------------------+------+------------+-----------------------+--------------------------+------------------------+----------
xo3ox oo3ox ..&#x ♦ 3  9 | 3 18  9  9 | 1  9  9 18 3  9  3  0 | 3  9  9  6  0  3  3  0 0 |  3  3  0  3  0 0 1 0 0 | 4 * * * *
xo3ox .. ox3oo&#x ♦ 3  9 | 3 18  9  9 | 1  9  9 18 3  9  0  3 | 3  9  9  0  6  3  0  3 0 |  3  0  3  0  3 0 0 1 0 | * 4 * * *
xo .. oo3ox3oo&#x ♦ 2  6 | 1 12  0 12 | 0  6  0 24 0  0  4  4 | 0 12  0  8  8  0  0  0 1 |  0  4  4  0  0 2 0 0 0 | * * 3 * *
.. ox oo3ox3oo&#x ♦ 1 12 | 0 12  6 24 | 0  0  6 24 0 12  8  8 | 0  0 12  8  8  0  4  4 2 |  0  0  0  4  4 2 0 0 1 | * * * 3 *
.o3.x .o3.x3.o    ♦ 0 18 | 0  0 18 36 | 0  0  0  0 6 36 12 12 | 0  0  0  0  0 12 12 12 3 |  0  0  0  0  0 0 4 4 3 | * * * * 1