Acronym trial tratet
Name triangle atop dual tratet,
triangle-first cap of ril
Circumradius sqrt(5/7) = 0.845154
Lace city
in approx. ASCII-art 
      o3o x3o      
                   
                   
                   
                   
                   
                   
x3o x3o     o3o o3x

       o o o3x       
                     
                     
                     
                     
x o x3o       o x x3o

  T     t
         
o     l  

where:
o = o o3o3o (point)
l = x o3o3o (line)
t = o x3o3o (tet)
T = x x3o3o (tepe)
Lace hyper city
in approx. ASCII-art 
    o    
         
        
o       o
         

         
t       t
        
         
    t    

where:
o = o3o3o (point)
t = x3o3o (tet)
Face vector 15, 57, 95, 85, 43, 11
Confer
uniform relative:
ril  
related segmentopeta:
octa tratet  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

ox3oo3oo ox3xo&#x   → height = sqrt(7/24) = 0.540062
({3} || dual tratet)

o.3o.3o. o.3o.    | 3  * ♦ 2  8  0  0 | 1 12  4  8  0  0 0 |  8  6 12 4 0  0 0 | 2  4  8 6 0 0 | 1 2 4 0
.o3.o3.o .o3.o    | * 12 | 0  2  3  2 | 0  6  2  1  3  6 1 |  6  6  3 1 1  6 3 | 2  6  3 3 2 3 | 2 1 3 1
------------------+------+------------+--------------------+-------------------+---------------+--------
.. .. .. .. x.    | 2  0 | 3  *  *  * | 1  0  0  4  0  0 0 |  0  0  6 4 0  0 0 | 0  0  4 6 0 0 | 0 1 4 0
oo3oo3oo oo3oo&#x | 1  1 | * 24  *  * | 0  3  1  1  0  0 0 |  3  3  3 1 0  0 0 | 1  3  3 3 0 0 | 1 1 3 0
.x .. .. .. ..    | 0  2 | *  * 18  * | 0  2  0  0  2  2 0 |  4  2  1 0 1  2 1 | 2  4  2 1 2 2 | 2 1 2 1
.. .. .. .x ..    | 0  2 | *  *  * 12 | 0  0  1  0  0  3 1 |  0  3  0 1 0  3 3 | 0  3  0 3 1 3 | 1 0 3 1
------------------+------+------------+--------------------+-------------------+---------------+--------
.. .. .. o.3x.    | 3  0 | 3  0  0  0 | 1  *  *  *  *  * * ♦  0  0  0 4 0  0 0 | 0  0  0 6 0 0 | 0 0 4 0
ox .. .. .. ..&#x | 1  2 | 0  2  1  0 | * 36  *  *  *  * * |  2  1  1 0 0  0 0 | 1  2  2 1 0 0 | 1 1 2 0
.. .. .. ox ..&#x | 1  2 | 0  2  0  1 | *  * 12  *  *  * * ♦  0  3  0 1 0  0 0 | 0  3  0 3 0 0 | 1 0 3 0
.. .. .. .. xo&#x | 2  1 | 1  2  0  0 | *  *  * 12  *  * * |  0  0  3 1 0  0 0 | 0  0  3 3 0 0 | 0 1 3 0
.x3.o .. .. ..    | 0  3 | 0  0  3  0 | *  *  *  * 12  * * |  2  0  0 0 1  2 0 | 2  2  1 0 2 1 | 2 1 1 1
.x .. .. .x ..    | 0  4 | 0  0  2  2 | *  *  *  *  * 18 * |  0  1  0 0 0  2 1 | 0  2  0 1 1 2 | 1 0 2 1
.. .. .. .x3.o    | 0  3 | 0  0  0  3 | *  *  *  *  *  * 4 |  0  0  0 1 0  0 3 | 0  0  0 3 0 3 | 0 0 3 1
------------------+------+------------+--------------------+-------------------+---------------+--------
ox3oo .. .. ..&#x ♦ 1  3 | 0  3  3  0 | 0  3  0  0  1  0 0 | 24  *  * * *  * * | 1  1  1 0 0 0 | 1 1 1 0
ox .. .. ox ..&#x ♦ 1  4 | 0  4  2  2 | 0  2  2  0  0  1 0 |  * 18  * * *  * * | 0  2  0 1 0 0 | 1 0 2 0
ox .. .. .. xo&#x ♦ 2  2 | 1  4  1  0 | 0  2  0  2  0  0 0 |  *  * 18 * *  * * | 0  0  2 1 0 0 | 0 1 2 0
.. .. .. ox3xo&#x ♦ 3  3 | 3  6  0  3 | 1  0  3  3  0  0 1 |  *  *  * 4 *  * * | 0  0  0 3 0 0 | 0 0 3 0
.x3.o3.o .. ..    ♦ 0  4 | 0  0  6  0 | 0  0  0  0  4  0 0 |  *  *  * * 3  * * | 2  0  0 0 2 0 | 2 1 0 1
.x3.o .. .x ..    ♦ 0  6 | 0  0  6  3 | 0  0  0  0  2  3 0 |  *  *  * * * 12 * | 0  1  0 0 1 1 | 1 0 1 1
.x .. .. .x3.o    ♦ 0  6 | 0  0  3  6 | 0  0  0  0  0  3 2 |  *  *  * * *  * 6 | 0  0  0 1 0 2 | 0 0 2 1
------------------+------+------------+--------------------+-------------------+---------------+--------
ox3oo3oo .. ..&#x ♦ 1  4 | 0  4  6  0 | 0  6  0  0  4  0 0 |  4  0  0 0 1  0 0 | 6  *  * * * * | 1 1 0 0
ox3oo .. ox ..&#x ♦ 1  6 | 0  6  6  3 | 0  6  3  0  2  3 0 |  2  3  0 0 0  1 0 | * 12  * * * * | 1 0 1 0
ox3oo .. .. xo&#x ♦ 2  3 | 1  6  3  0 | 0  6  0  3  1  0 0 |  2  0  3 0 0  0 0 | *  * 12 * * * | 0 1 1 0
ox .. .. ox3xo&#x ♦ 3  6 | 3 12  3  6 | 1  6  6  6  0  3 2 |  0  3  3 2 0  0 1 | *  *  * 6 * * | 0 0 2 0
.x3.o3.o .x ..    ♦ 0  8 | 0  0 12  4 | 0  0  0  0  8  6 0 |  0  0  0 0 2  4 0 | *  *  * * 3 * | 1 0 0 1
.x3.o .. .x3.o    ♦ 0  9 | 0  0  9  9 | 0  0  0  0  3  9 3 |  0  0  0 0 0  3 3 | *  *  * * * 4 | 0 0 1 1
------------------+------+------------+--------------------+-------------------+---------------+--------
ox3oo3oo ox ..&#x ♦ 1  8 | 0  8 12  4 | 0 12  4  0  8  6 0 |  8  6  0 0 2  4 0 | 2  4  0 0 1 0 | 3 * * *
ox3oo3oo .. xo&#x ♦ 2  4 | 1  8  6  0 | 0 12  0  4  4  0 0 |  8  0  6 0 1  0 0 | 2  0  4 0 0 0 | * 3 * *
ox3oo .. ox3xo&#x ♦ 3  9 | 3 18  9  9 | 1 18  9  9  3  9 3 |  6  9  9 3 0  3 3 | 0  3  3 3 0 1 | * * 4 *
.x3.o3.o .x3.o    ♦ 0 12 | 0  0 18 12 | 0  0  0  0 12 18 4 |  0  0  0 0 3 12 6 | 0  0  0 0 3 4 | * * * 1


xoo3ooo xox3oxo&#x   → height(1,2) = 1/sqrt(3) = 0.577350
                       height(1,3) = height(2,3) = sqrt(2/3) = 0.816497

o..3o.. o..3o..    | 9 * * | 2 2  2 1 0 0 0 | 1 4 1  4 2 1 2 2  2 0 0 0 0 | 2 2 2 4 2 1 1 4 1  4 2 1 0 | 1 2 1 2 2 2 2 4 2 1 | 1 1 2 1 2
.o.3.o. .o.3.o.    | * 3 * ♦ 0 0  6 0 2 2 0 | 0 0 0  6 3 6 0 0  6 1 1 2 0 | 0 0 2 3 6 3 0 0 0  6 3 6 1 | 0 1 2 3 0 0 2 3 6 3 | 1 0 1 2 3
..o3..o ..o3..o    | * * 3 | 0 0  0 3 0 2 2 | 0 0 0  0 0 0 3 6  6 0 2 1 1 | 0 0 0 0 0 0 1 6 3  0 3 0 0 | 0 0 0 0 2 3 2 6 3 3 | 0 1 2 1 3
-------------------+-------+----------------+-----------------------------+----------------------------+---------------------+----------
x.. ... ... ...    | 2 0 0 | 9 *  * * * * * | 1 2 0  2 0 0 1 0  0 0 0 0 0 | 2 1 2 2 1 0 1 2 0  2 0 0 0 | 1 2 1 1 2 1 2 2 1 0 | 1 1 2 1 1
... ... x.. ...    | 2 0 0 | * 9  * * * * * | 0 2 1  0 1 0 0 1  0 0 0 0 0 | 1 2 0 2 0 1 0 2 1  0 1 0 0 | 1 1 0 2 1 2 0 2 0 1 | 1 1 1 0 2
oo.3oo. oo.3oo.&#x | 1 1 0 | * * 18 * * * * | 0 0 0  2 1 1 0 0  1 0 0 0 0 | 0 0 1 2 2 1 0 0 0  2 1 1 0 | 0 1 1 2 0 0 1 2 2 1 | 1 0 1 1 2
o.o3o.o o.o3o.o&#x | 1 0 1 | * *  * 9 * * * | 0 0 0  0 0 0 2 2  2 0 0 0 0 | 0 0 0 0 0 0 1 4 1  4 2 1 0 | 0 0 0 0 2 2 2 4 2 1 | 0 1 2 1 2
... ... ... .x.    | 0 2 0 | * *  * * 3 * * | 0 0 0  0 0 3 0 0  0 1 0 1 0 | 0 0 0 0 3 3 0 0 0  0 0 3 1 | 0 0 1 3 0 0 0 0 3 3 | 1 0 0 1 3
.oo3.oo .oo3.oo&#x | 0 1 1 | * *  * * * 6 * | 0 0 0  0 0 0 0 0  3 0 1 1 0 | 0 0 0 0 0 0 0 0 0  3 3 3 1 | 0 0 0 0 0 0 1 3 3 3 | 0 0 1 1 3
... ... ..x ...    | 0 0 2 | * *  * * * * 3 | 0 0 0  0 0 0 0 3  0 0 1 0 1 | 0 0 0 0 0 0 0 3 3  0 3 0 1 | 0 0 0 0 1 3 0 3 0 3 | 0 1 1 0 3
-------------------+-------+----------------+-----------------------------+----------------------------+---------------------+----------
x..3o.. ... ...    | 3 0 0 | 3 0  0 0 0 0 0 | 3 * *  * * * * *  * * * * * | 2 0 2 0 0 0 1 0 0  0 0 0 0 | 1 2 1 0 2 0 2 0 0 0 | 1 1 2 1 0
x.. ... x.. ...    | 4 0 0 | 2 2  0 0 0 0 0 | * 9 *  * * * * *  * * * * * | 1 1 0 1 0 0 0 1 0  0 0 0 0 | 1 1 0 1 1 1 0 1 0 0 | 1 1 1 0 1
... ... x..3o..    | 3 0 0 | 0 3  0 0 0 0 0 | * * 3  * * * * *  * * * * * | 0 2 0 0 0 1 0 0 1  0 0 0 0 | 1 0 0 2 0 2 0 0 0 1 | 1 1 0 0 2
xo. ... ... ...&#x | 2 1 0 | 1 0  2 0 0 0 0 | * * * 18 * * * *  * * * * * | 0 0 1 1 1 0 0 0 0  1 0 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 0 1 1 1
... ... xo. ...&#x | 2 1 0 | 0 1  2 0 0 0 0 | * * *  * 9 * * *  * * * * * ♦ 0 0 0 2 0 1 0 0 0  0 1 0 0 | 0 1 0 2 0 0 0 2 0 1 | 1 0 1 0 2
... ... ... ox.&#x | 1 2 0 | 0 0  2 0 1 0 0 | * * *  * * 9 * *  * * * * * | 0 0 0 0 2 1 0 0 0  0 0 1 0 | 0 0 1 2 0 0 0 0 2 1 | 1 0 0 1 2
x.o ... ... ...&#x | 2 0 1 | 1 0  0 2 0 0 0 | * * *  * * * 9 *  * * * * * | 0 0 0 0 0 0 1 2 0  2 0 0 0 | 0 0 0 0 2 1 2 2 1 0 | 0 1 2 1 1
... ... x.x ...&#x | 2 0 2 | 0 1  0 2 0 0 1 | * * *  * * * * 9  * * * * * | 0 0 0 0 0 0 0 2 1  0 1 0 0 | 0 0 0 0 1 2 0 2 0 1 | 0 1 1 0 2
ooo3ooo ooo3ooo&#x | 1 1 1 | 0 0  1 1 0 1 0 | * * *  * * * * * 18 * * * * | 0 0 0 0 0 0 0 0 0  2 1 1 0 | 0 0 0 0 0 0 1 2 2 1 | 0 0 1 1 2
... ... .o.3.x.    | 0 3 0 | 0 0  0 0 3 0 0 | * * *  * * * * *  * 1 * * * ♦ 0 0 0 0 0 3 0 0 0  0 0 0 1 | 0 0 0 3 0 0 0 0 0 3 | 1 0 0 0 3
... ... .ox ...&#x | 0 1 2 | 0 0  0 0 0 2 1 | * * *  * * * * *  * * 3 * * ♦ 0 0 0 0 0 0 0 0 0  0 3 0 1 | 0 0 0 0 0 0 0 3 0 3 | 0 0 1 0 3
... ... ... .xo&#x | 0 2 1 | 0 0  0 0 1 2 0 | * * *  * * * * *  * * * 3 * | 0 0 0 0 0 0 0 0 0  0 0 3 1 | 0 0 0 0 0 0 0 0 3 3 | 0 0 0 1 3
... ... ..x3..o    | 0 0 3 | 0 0  0 0 0 0 3 | * * *  * * * * *  * * * * 1 | 0 0 0 0 0 0 0 0 3  0 0 0 1 | 0 0 0 0 0 3 0 0 0 3 | 0 1 0 0 3
-------------------+-------+----------------+-----------------------------+----------------------------+---------------------+----------
x..3o.. x.. ...    ♦ 6 0 0 | 6 3  0 0 0 0 0 | 2 3 0  0 0 0 0 0  0 0 0 0 0 | 3 * * * * * * * *  * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
x.. ... x..3o..    ♦ 6 0 0 | 3 6  0 0 0 0 0 | 0 3 2  0 0 0 0 0  0 0 0 0 0 | * 3 * * * * * * *  * * * * | 1 0 0 1 0 1 0 0 0 0 | 1 1 0 0 1
xo.3oo. ... ...&#x ♦ 3 1 0 | 3 0  3 0 0 0 0 | 1 0 0  3 0 0 0 0  0 0 0 0 0 | * * 6 * * * * * *  * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
xo. ... xo. ...&#x ♦ 4 1 0 | 2 2  4 0 0 0 0 | 0 1 0  2 2 0 0 0  0 0 0 0 0 | * * * 9 * * * * *  * * * * | 0 1 0 1 0 0 0 1 0 0 | 1 0 1 0 1
xo. ... ... ox.&#x ♦ 2 2 0 | 1 0  4 0 1 0 0 | 0 0 0  2 0 2 0 0  0 0 0 0 0 | * * * * 9 * * * *  * * * * | 0 0 1 1 0 0 0 0 1 0 | 1 0 0 1 1
... ... xo.3ox.&#x ♦ 3 3 0 | 0 3  6 0 3 0 0 | 0 0 1  0 3 3 0 0  0 1 0 0 0 | * * * * * 3 * * *  * * * * | 0 0 0 2 0 0 0 0 0 1 | 1 0 0 0 2
x.o3o.o ... ...&#x ♦ 3 0 1 | 3 0  0 3 0 0 0 | 1 0 0  0 0 0 3 0  0 0 0 0 0 | * * * * * * 3 * *  * * * * | 0 0 0 0 2 0 2 0 0 0 | 0 1 2 1 0
x.o ... x.x ...&#x ♦ 4 0 2 | 2 2  0 4 0 0 1 | 0 1 0  0 0 0 2 2  0 0 0 0 0 | * * * * * * * 9 *  * * * * | 0 0 0 0 1 1 0 1 0 0 | 0 1 1 0 1
... ... x.x3o.o&#x ♦ 3 0 3 | 0 3  0 3 0 0 3 | 0 0 1  0 0 0 0 3  0 0 0 0 1 | * * * * * * * * 3  * * * * | 0 0 0 0 0 2 0 0 0 1 | 0 1 0 0 2
xoo ... ... ...&#x ♦ 2 1 1 | 1 0  2 2 0 1 0 | 0 0 0  1 0 0 1 0  2 0 0 0 0 | * * * * * * * * * 18 * * * | 0 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1
... ... xox ...&#x ♦ 2 1 2 | 0 1  2 2 0 2 1 | 0 0 0  0 1 0 0 1  2 0 1 0 0 | * * * * * * * * *  * 9 * * | 0 0 0 0 0 0 0 2 0 1 | 0 0 1 0 2
... ... ... oxo&#x ♦ 1 2 1 | 0 0  2 1 1 2 0 | 0 0 0  0 0 1 0 0  2 0 0 1 0 | * * * * * * * * *  * * 9 * | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 1 2
... ... .ox3.xo&#x ♦ 0 3 3 | 0 0  0 0 3 6 3 | 0 0 0  0 0 0 0 0  0 1 3 3 1 | * * * * * * * * *  * * * 1 | 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 3
-------------------+-------+----------------+-----------------------------+----------------------------+---------------------+----------
x..3o.. x..3o..    ♦ 9 0 0 | 9 9  0 0 0 0 0 | 3 9 3  0 0 0 0 0  0 0 0 0 0 | 3 3 0 0 0 0 0 0 0  0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
xo.3oo. xo. ...&#x ♦ 6 1 0 | 6 3  6 0 0 0 0 | 2 3 0  6 3 0 0 0  0 0 0 0 0 | 1 0 2 3 0 0 0 0 0  0 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0
xo.3oo. ... ox.&#x ♦ 3 2 0 | 3 0  6 0 1 0 0 | 1 0 0  6 0 3 0 0  0 0 0 0 0 | 0 0 2 0 3 0 0 0 0  0 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0
xo. ... xo.3ox.&#x ♦ 6 3 0 | 3 6 12 0 3 0 0 | 0 3 2  6 6 6 0 0  0 1 0 0 0 | 0 1 0 3 3 2 0 0 0  0 0 0 0 | * * * 3 * * * * * * | 1 0 0 0 1
x.o3o.o x.x ...&#x ♦ 6 0 2 | 6 3  0 6 0 0 1 | 2 3 0  0 0 0 6 3  0 0 0 0 0 | 1 0 0 0 0 0 2 3 0  0 0 0 0 | * * * * 3 * * * * * | 0 1 1 0 0
x.o ... x.x3o.o&#x ♦ 6 0 3 | 3 6  0 6 0 0 3 | 0 3 2  0 0 0 3 6  0 0 0 0 1 | 0 1 0 0 0 0 0 3 2  0 0 0 0 | * * * * * 3 * * * * | 0 1 0 0 1
xoo3ooo ... ...&#x ♦ 3 1 1 | 3 0  3 3 0 1 0 | 1 0 0  3 0 0 3 0  3 0 0 0 0 | 0 0 1 0 0 0 1 0 0  3 0 0 0 | * * * * * * 6 * * * | 0 0 1 1 0
xoo ... xox ...&#x ♦ 4 1 2 | 2 2  4 4 0 2 1 | 0 1 0  2 2 0 2 2  4 0 1 0 0 | 0 0 0 1 0 0 0 1 0  2 2 0 0 | * * * * * * * 9 * * | 0 0 1 0 1
xoo ... ... oxo&#x ♦ 2 2 1 | 1 0  4 2 1 2 0 | 0 0 0  2 0 2 1 0  4 0 0 1 0 | 0 0 0 0 1 0 0 0 0  2 0 2 0 | * * * * * * * * 9 * | 0 0 0 1 1
... ... xox3oxo&#x ♦ 3 3 3 | 0 3  6 3 3 6 3 | 0 0 1  0 3 3 0 3  6 1 3 3 1 | 0 0 0 0 0 1 0 0 1  0 3 3 1 | * * * * * * * * * 3 | 0 0 0 0 2
-------------------+-------+----------------+-----------------------------+----------------------------+---------------------+----------
xo.3oo. xo.3ox.&#x ♦ 9 3 0 | 9 9 18 0 3 0 0 | 3 9 3 18 9 9 0 0  0 1 0 0 0 | 3 3 6 9 9 3 0 0 0  0 0 0 0 | 1 3 3 3 0 0 0 0 0 0 | 1 * * * *
x.o3o.o x.x3o.o&#x ♦ 9 0 3 | 9 9  0 9 0 0 3 | 3 9 3  0 0 0 9 9  0 0 0 0 1 | 3 3 0 0 0 0 3 9 3  0 0 0 0 | 1 0 0 0 3 3 0 0 0 0 | * 1 * * *
xoo3ooo xox ...&#x ♦ 6 1 2 | 6 3  6 6 0 2 1 | 2 3 0  6 3 0 6 3  6 0 1 0 0 | 1 0 2 3 0 0 2 3 0  6 3 0 0 | 0 1 0 0 1 0 2 3 0 0 | * * 3 * *
xoo3ooo ... oxo&#x ♦ 3 2 1 | 3 0  6 3 1 2 0 | 1 0 0  6 0 3 3 0  6 0 0 1 0 | 0 0 2 0 3 0 1 0 0  6 0 3 0 | 0 0 1 0 0 0 2 0 3 0 | * * * 3 *
xoo ... xox3oxo&#x ♦ 6 3 3 | 3 6 12 6 3 6 3 | 0 3 2  6 6 6 3 6 12 1 3 3 1 | 0 1 0 3 3 2 0 3 2  6 6 6 1 | 0 0 0 1 0 1 0 3 3 2 | * * * * 3


xoo oox xox3oxo&#x   → height(1,2) = height(2,3) = sqrt(5/12) = 0.645497
                       height(1,3) = 1/sqrt(2) = 0.707107

o.. o.. o..3o..    & | 12 * | 1  2  2  2 0 | 2 1  2  2  1  3  4  4 0 | 1 2 1 1 1  6 2  6  4  2 | 1 2 3 2  6  3 2 | 1 2 1 3
.o. .o. .o.3.o.      |  * 3 ♦ 0  0  8  0 2 | 0 0  4  4  8  0  0  8 1 | 0 2 4 4 0  0 0  8  4  8 | 2 0 0 2  4  8 4 | 0 1 2 4
---------------------+------+--------------+-------------------------+-------------------------+-----------------+--------
x.. ... ... ...    & |  2 0 | 6  *  *  * * | 2 0  2  0  0  2  0  0 0 | 1 2 1 0 1  4 0  4  0  0 | 1 2 2 2  4  2 0 | 1 2 1 2
... ... x.. ...    & |  2 0 | * 12  *  * * | 1 1  0  1  0  0  2  0 0 | 1 1 0 1 0  3 2  0  2  0 | 1 1 3 0  3  0 2 | 1 1 0 3
oo. oo. oo.3oo.&#x & |  1 1 | *  * 24  * * | 0 0  1  1  1  0  0  2 0 | 0 1 1 1 0  0 0  3  2  2 | 1 0 0 1  3  3 2 | 0 1 1 3
o.o o.o o.o3o.o&#x   |  2 0 | *  *  * 12 * | 0 0  0  0  0  2  2  2 0 | 0 0 0 0 1  4 1  4  2  1 | 0 2 2 2  4  2 1 | 1 2 1 2
... ... ... .x.      |  0 2 | *  *  *  * 3 | 0 0  0  0  4  0  0  0 1 | 0 0 2 4 0  0 0  0  0  4 | 2 0 0 0  0  4 4 | 0 0 1 4
---------------------+------+--------------+-------------------------+-------------------------+-----------------+--------
x.. ... x.. ...    & |  4 0 | 2  2  0  0 0 | 6 *  *  *  *  *  *  * * | 1 1 0 0 0  2 0  0  0  0 | 1 1 2 0  0  0 0 | 1 1 0 2
... ... x..3o..    & |  3 0 | 0  3  0  0 0 | * 4  *  *  *  *  *  * * | 1 0 0 1 0  0 2  0  0  0 | 1 0 3 0  0  0 2 | 1 0 0 3
xo. ... ... ...&#x & |  2 1 | 1  0  2  0 0 | * * 12  *  *  *  *  * * | 0 1 1 0 0  0 0  2  0  0 | 1 0 0 1  2  2 0 | 0 1 1 2
... ... xo. ...&#x & |  2 1 | 0  1  2  0 0 | * *  * 12  *  *  *  * * ♦ 0 1 0 1 0  0 0  0  2  0 | 1 0 0 0  3  0 2 | 0 1 0 3
... ... ... ox.&#x & |  1 2 | 0  0  2  0 1 | * *  *  * 12  *  *  * * | 0 0 1 1 0  0 0  0  0  2 | 1 0 0 0  0  3 2 | 0 0 1 3
x.o ... ... ...&#x & |  3 0 | 1  0  0  2 0 | * *  *  *  * 12  *  * * | 0 0 0 0 1  2 0  2  0  0 | 0 2 1 2  2  1 0 | 1 2 1 1
... ... x.x ...&#x   |  4 0 | 0  2  0  2 0 | * *  *  *  *  * 12  * * | 0 0 0 0 0  2 1  0  1  0 | 0 1 2 0  2  0 1 | 1 1 0 2
ooo ooo ooo3ooo&#x   |  2 1 | 0  0  2  1 0 | * *  *  *  *  *  * 24 * | 0 0 0 0 0  0 0  2  1  1 | 0 0 0 1  2  2 1 | 0 1 1 2
... ... .o.3.x.      |  0 3 | 0  0  0  0 3 | * *  *  *  *  *  *  * 1 ♦ 0 0 0 4 0  0 0  0  0  0 | 2 0 0 0  0  0 4 | 0 0 0 4
---------------------+------+--------------+-------------------------+-------------------------+-----------------+--------
x.. ... x..3o..    & ♦  6 0 | 3  6  0  0 0 | 3 2  0  0  0  0  0  0 0 | 2 * * * *  * *  *  *  * | 1 0 2 0  0  0 0 | 1 0 0 2
xo. ... xo. ...&#x & ♦  4 1 | 2  2  4  0 0 | 1 0  2  2  0  0  0  0 0 | * 6 * * *  * *  *  *  * | 1 0 0 0  2  0 0 | 0 1 0 2
xo. ... ... ox.&#x & ♦  2 2 | 1  0  4  0 1 | 0 0  2  0  2  0  0  0 0 | * * 6 * *  * *  *  *  * | 1 0 0 0  0  2 0 | 0 0 1 2
... ... xo3 ox.&#x & ♦  3 3 | 0  3  6  0 3 | 0 1  0  3  3  0  0  0 1 | * * * 4 *  * *  *  *  * | 1 0 0 0  0  0 2 | 0 0 0 3
x.o o.x ... ...&#x   ♦  4 0 | 2  0  0  4 0 | 0 0  0  0  0  4  0  0 0 | * * * * 3  * *  *  *  * | 0 2 0 2  0  0 0 | 1 2 1 0
x.o ... x.x ...&#x & ♦  6 0 | 2  3  0  4 0 | 1 0  0  0  0  2  2  0 0 | * * * * * 12 *  *  *  * | 0 1 1 0  1  0 0 | 1 1 0 1
... ... x.x3o.o&#x   ♦  6 0 | 0  6  0  3 0 | 0 2  0  0  0  0  3  0 0 | * * * * *  * 4  *  *  * | 0 0 2 0  0  0 1 | 1 0 0 2
xoo ... ... ...&#x & ♦  3 1 | 1  0  3  2 0 | 0 0  1  0  0  1  0  2 0 | * * * * *  * * 24  *  * | 0 0 0 1  1  1 0 | 0 1 1 1
... ... xox ...&#x   ♦  4 1 | 0  2  4  2 0 | 0 0  0  2  0  0  1  2 0 | * * * * *  * *  * 12  * | 0 0 0 0  2  0 1 | 0 1 0 2
... ... ... oxo&#x   ♦  2 2 | 0  0  4  1 1 | 0 0  0  0  2  0  0  2 0 | * * * * *  * *  *  * 12 | 0 0 0 0  0  2 1 | 0 0 1 2
---------------------+------+--------------+-------------------------+-------------------------+-----------------+--------
xo. ... xo.3ox.&#x & ♦  6 3 | 3  6 12  0 3 | 3 2  6  6  6  0  0  0 1 | 1 3 3 2 0  0 0  0  0  0 | 2 * * *  *  * * | 0 0 0 2
x.o o.x x.x ...&#x   ♦  8 0 | 4  4  0  8 0 | 2 0  0  0  0  8  4  0 0 | 0 0 0 0 2  4 0  0  0  0 | * 3 * *  *  * * | 1 1 0 0
x.o ... x.x3o.o&#x & ♦  9 0 | 3  9  0  6 0 | 3 3  0  0  0  3  6  0 0 | 1 0 0 0 0  3 2  0  0  0 | * * 4 *  *  * * | 1 0 0 1
xoo oox ... ...&#x   ♦  4 1 | 2  0  4  4 0 | 0 0  2  0  0  4  0  4 0 | 0 0 0 0 1  0 0  4  0  0 | * * * 6  *  * * | 0 1 1 0
xoo ... xox ...&#x & ♦  6 1 | 2  3  6  4 0 | 1 0  2  3  0  2  2  4 0 | 0 1 0 0 0  1 0  2  2  0 | * * * * 12  * * | 0 1 0 1
xoo ... ... oxo&#x & ♦  3 2 | 1  0  6  2 1 | 0 0  2  0  3  1  0  4 0 | 0 0 1 0 0  0 0  2  0  2 | * * * *  * 12 * | 0 0 1 1
... ... xox3oxo&#x   ♦  6 3 | 0  6 12  3 3 | 0 2  0  6  6  0  3  6 1 | 0 0 0 2 0  0 1  0  3  3 | * * * *  *  * 4 | 0 0 0 2
---------------------+------+--------------+-------------------------+-------------------------+-----------------+--------
x.o o.x x.x3o.o&#x   ♦ 12 0 | 6 12  0 12 0 | 6 4  0  0  0 12 12  0 0 | 2 0 0 0 3 12 4  0  0  0 | 0 3 4 0  0  0 0 | 1 * * *
xoo oox xox ...&#x   ♦  8 1 | 4  4  8  8 0 | 2 0  4  4  0  8  4  8 0 | 0 2 0 0 2  4 0  8  4  0 | 0 1 0 2  4  0 0 | * 3 * *
xoo oox ... oxo&#x   ♦  4 2 | 2  0  8  4 1 | 0 0  4  0  4  4  0  8 0 | 0 0 2 0 1  0 0  8  0  4 | 0 0 0 2  0  4 0 | * * 3 *
xoo ... xox3oxo&#x & ♦  9 3 | 3  9 18  6 3 | 3 3  6  9  9  3  6 12 1 | 1 3 3 3 0  3 2  6  6  6 | 1 0 1 0  3  3 2 | * * * 4


oxox ooxx3oooo3oooo&#xr   → height(1,2) = height(3,4) = sqrt(3)/2 = 0.866025
                            height(1,4) = height(2,3) = sqrt(3/8) = 0.612372

o... o...3o...3o...     | 1 * * * ♦ 2 8 0 0 0 0 0 0  0 | 1 8 4 12 0  0 0  0 0 0  0 0 0 | 4 12 6 8 0 0  0 0 0 0 0 0 0 | 6 8 4 2 0 0 0 0 0 0 0 | 4 2 1 0 0 0
.o.. .o..3.o..3.o..     | * 2 * * ♦ 1 0 1 4 4 0 0 0  0 | 1 4 0  0 4  6 4  6 0 0  0 0 0 | 4  6 0 0 6 4  6 4 0 0 0 0 0 | 6 4 0 0 4 1 4 1 0 0 0 | 4 1 0 1 1 0
..o. ..o.3..o.3..o.     | * * 4 * | 0 0 0 2 0 3 2 0  0 | 0 0 0  0 1  6 2  0 3 1  6 0 0 | 1  0 0 0 3 6  6 0 1 3 6 0 0 | 3 0 0 0 3 2 6 0 3 2 0 | 3 0 0 1 2 1
...o ...o3...o3...o     | * * * 8 | 0 1 0 0 1 0 1 1  3 | 0 1 1  3 0  0 1  3 0 1  3 3 3 | 1  3 3 3 0 0  3 3 0 3 3 3 1 | 3 3 3 1 0 0 3 1 3 1 1 | 3 1 1 0 1 1
------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------
oo.. oo..3oo..3oo..&#x  | 1 1 0 0 | 2 * * * * * * *  * | 1 4 0  0 0  0 0  0 0 0  0 0 0 | 4  6 0 0 0 0  0 0 0 0 0 0 0 | 6 4 0 0 0 0 0 0 0 0 0 | 4 1 0 0 0 0
o..o o..o3o..o3o..o&#x  | 1 0 0 1 | * 8 * * * * * *  * | 0 1 1  3 0  0 0  0 0 0  0 0 0 | 1  3 3 3 0 0  0 0 0 0 0 0 0 | 3 3 3 1 0 0 0 0 0 0 0 | 3 1 1 0 0 0
.x.. .... .... ....     | 0 2 0 0 | * * 1 * * * * *  * | 1 0 0  0 4  0 0  0 0 0  0 0 0 | 4  0 0 0 6 0  0 0 0 0 0 0 0 | 6 0 0 0 4 0 0 0 0 0 0 | 4 0 0 1 0 0
.oo. .oo.3.oo.3.oo.&#x  | 0 1 1 0 | * * * 8 * * * *  * | 0 0 0  0 1  3 1  0 0 0  0 0 0 | 1  0 0 0 3 3  3 0 0 0 0 0 0 | 3 0 0 0 3 1 3 0 0 0 0 | 3 0 0 1 1 0
.o.o .o.o3.o.o3.o.o&#x  | 0 1 0 1 | * * * * 8 * * *  * | 0 1 0  0 0  0 1  3 0 0  0 0 0 | 1  3 0 0 0 0  3 3 0 0 0 0 0 | 3 3 0 0 0 0 3 1 0 0 0 | 3 1 0 0 1 0
.... ..x. .... ....     | 0 0 2 0 | * * * * * 6 * *  * | 0 0 0  0 0  2 0  0 2 0  2 0 0 | 0  0 0 0 1 4  2 0 1 1 4 0 0 | 1 0 0 0 2 2 4 0 2 2 0 | 2 0 0 1 2 1
..oo ..oo3..oo3..oo&#x  | 0 0 1 1 | * * * * * * 8 *  * | 0 0 0  0 0  0 1  0 0 1  3 0 0 | 1  0 0 0 0 0  3 0 0 3 3 0 0 | 3 0 0 0 0 0 3 0 3 1 0 | 3 0 0 0 1 1
...x .... .... ....     | 0 0 0 2 | * * * * * * * 4  * | 0 0 1  0 0  0 0  0 0 1  0 3 0 | 1  0 3 0 0 0  0 0 0 3 0 3 0 | 3 0 3 0 0 0 0 0 3 0 1 | 3 0 1 0 0 1
.... ...x .... ....     | 0 0 0 2 | * * * * * * * * 12 | 0 0 0  1 0  0 0  1 0 0  1 1 2 | 0  1 1 2 0 0  1 2 0 1 2 2 1 | 1 2 2 1 0 0 2 1 2 1 1 | 2 1 1 0 1 1
------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------
ox.. .... .... ....&#x  | 1 2 0 0 | 2 0 1 0 0 0 0 0  0 | 1 * *  * *  * *  * * *  * * * ♦ 4  0 0 0 0 0  0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0
oo.o oo.o3oo.o3oo.o&#x  | 1 1 0 1 | 1 1 0 0 1 0 0 0  0 | * 8 *  * *  * *  * * *  * * * | 1  3 0 0 0 0  0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 | 3 1 0 0 0 0
o..x .... .... ....&#x  | 1 0 0 2 | 0 2 0 0 0 0 0 1  0 | * * 4  * *  * *  * * *  * * * ♦ 1  0 3 0 0 0  0 0 0 0 0 0 0 | 3 0 3 0 0 0 0 0 0 0 0 | 3 0 1 0 0 0
.... o..x .... ....&#x  | 1 0 0 2 | 0 2 0 0 0 0 0 0  1 | * * * 12 *  * *  * * *  * * * | 0  1 1 2 0 0  0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0 0
.xo. .... .... ....&#x  | 0 2 1 0 | 0 0 1 2 0 0 0 0  0 | * * *  * 4  * *  * * *  * * * | 1  0 3 0 0 0  0 0 0 0 0 0 0 | 3 0 0 0 3 0 0 0 0 0 0 | 3 0 0 1 0 0
.... .ox. .... ....&#x  | 0 1 2 0 | 0 0 0 2 0 1 0 0  0 | * * *  * * 12 *  * * *  * * * | 0  0 0 0 1 2  1 0 0 0 0 0 0 | 1 0 0 0 2 1 2 0 0 0 0 | 2 0 0 1 1 0
.ooo .ooo3.ooo3.ooo&#x  | 0 1 1 1 | 0 0 0 1 1 0 1 0  0 | * * *  * *  * 8  * * *  * * * ♦ 1  0 0 0 0 0  3 0 0 0 0 0 0 | 3 0 0 0 0 0 3 0 0 0 0 | 3 0 0 0 1 0
.... .o.x .... ....&#x  | 0 1 0 2 | 0 0 0 0 2 0 0 0  1 | * * *  * *  * * 12 * *  * * * | 0  1 0 0 0 0  1 2 0 0 0 0 0 | 1 2 0 0 0 0 2 1 0 0 0 | 2 1 0 0 1 0
.... ..x.3..o. ....     | 0 0 3 0 | 0 0 0 0 0 3 0 0  0 | * * *  * *  * *  * 4 *  * * * | 0  0 0 0 0 2  0 0 1 0 2 0 0 | 0 0 0 0 1 2 2 0 1 2 0 | 1 0 0 1 2 1
..ox .... .... ....&#x  | 0 0 1 2 | 0 0 0 0 0 0 2 1  0 | * * *  * *  * *  * * 4  * * * | 1  0 0 0 0 0  0 0 0 3 0 0 0 | 3 0 0 0 0 0 0 0 3 0 0 | 3 0 0 0 0 1
.... ..xx .... ....&#x  | 0 0 2 2 | 0 0 0 0 0 1 2 0  1 | * * *  * *  * *  * * * 12 * * | 0  0 0 0 0 0  1 0 0 1 2 0 0 | 1 0 0 0 0 0 2 0 2 1 0 | 2 0 0 0 1 1
...x ...x .... ....     | 0 0 0 4 | 0 0 0 0 0 0 0 2  2 | * * *  * *  * *  * * *  * 6 * | 0  0 1 0 0 0  0 0 0 1 0 2 0 | 1 0 2 0 0 0 0 0 2 0 1 | 2 0 1 0 0 1
.... ...x3...o ....     | 0 0 0 3 | 0 0 0 0 0 0 0 0  3 | * * *  * *  * *  * * *  * * 8 | 0  0 0 1 0 0  0 1 0 0 1 1 1 | 0 1 1 1 0 0 1 1 1 1 1 | 1 1 1 0 1 1
------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------
oxox .... .... ....&#xr ♦ 1 2 1 2 | 2 2 1 2 2 0 2 1  0 | 1 2 1  0 1  0 2  0 0 1  0 0 0 | 4  * * * * *  * * * * * * * | 3 0 0 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0
.... oo.x .... ....&#x  ♦ 1 1 0 2 | 1 2 0 0 2 0 0 0  1 | 0 2 0  1 0  0 0  1 0 0  0 0 0 | * 12 * * * *  * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0
o..x o..x .... ....&#x  ♦ 1 0 0 4 | 0 4 0 0 0 0 0 2  2 | 0 0 2  2 0  0 0  0 0 0  0 1 0 | *  * 6 * * *  * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 0
.... o..x3o..o ....&#x  ♦ 1 0 0 3 | 0 3 0 0 0 0 0 0  3 | 0 0 0  3 0  0 0  0 0 0  0 0 1 | *  * * 8 * *  * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.xo. .ox. .... ....&#x  ♦ 0 2 2 0 | 0 0 1 4 0 1 0 0  0 | 0 0 0  0 2  2 0  0 0 0  0 0 0 | *  * * * 6 *  * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 0
.... .ox.3.oo. ....&#x  ♦ 0 1 3 0 | 0 0 0 3 0 3 0 0  0 | 0 0 0  0 0  3 0  0 1 0  0 0 0 | *  * * * * 8  * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 | 1 0 0 1 1 0
.... .oxx .... ....&#x  ♦ 0 1 2 2 | 0 0 0 2 2 1 2 0  1 | 0 0 0  0 0  1 2  1 0 0  1 0 0 | *  * * * * * 12 * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 2 0 0 0 1 0
.... .o.x3.o.o ....&#x  ♦ 0 1 0 3 | 0 0 0 0 3 0 0 0  3 | 0 0 0  0 0  0 0  3 0 0  0 0 1 | *  * * * * *  * 8 * * * * * | 0 1 0 0 0 0 1 1 0 0 0 | 1 1 0 0 1 0
.... ..x.3..o.3..o.     ♦ 0 0 4 0 | 0 0 0 0 0 6 0 0  0 | 0 0 0  0 0  0 0  0 4 0  0 0 0 | *  * * * * *  * * 1 * * * * | 0 0 0 0 0 2 0 0 0 2 0 | 0 0 0 1 2 1
..ox ..xx .... ....&#x  ♦ 0 0 2 4 | 0 0 0 0 0 1 4 2  2 | 0 0 0  0 0  0 0  0 0 2  2 1 0 | *  * * * * *  * * * 6 * * * | 1 0 0 0 0 0 0 0 2 0 0 | 2 0 0 0 0 1
.... ..xx3..oo ....&#x  ♦ 0 0 3 3 | 0 0 0 0 0 3 3 0  3 | 0 0 0  0 0  0 0  0 1 0  3 0 1 | *  * * * * *  * * * * 8 * * | 0 0 0 0 0 0 1 0 1 1 0 | 1 0 0 0 1 1
...x ...x3...o ....     ♦ 0 0 0 6 | 0 0 0 0 0 0 0 3  6 | 0 0 0  0 0  0 0  0 0 0  0 3 2 | *  * * * * *  * * * * * 4 * | 0 0 1 0 0 0 0 0 1 0 1 | 1 0 1 0 0 1
.... ...x3...o3...o     ♦ 0 0 0 4 | 0 0 0 0 0 0 0 0  6 | 0 0 0  0 0  0 0  0 0 0  0 0 4 | *  * * * * *  * * * * * * 2 | 0 0 0 1 0 0 0 1 0 1 1 | 0 1 1 0 1 1
------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------
oxox ooxx .... ....&#xr ♦ 1 2 2 4 | 2 4 1 4 4 1 4 2  2 | 1 4 2  2 2  2 4  2 0 2  2 1 0 | 2  2 1 0 1 0  2 0 0 1 0 0 0 | 6 * * * * * * * * * * | 2 0 0 0 0 0
.... oo.x3oo.o ....&#x  ♦ 1 1 0 3 | 1 3 0 0 3 0 0 0  3 | 0 3 0  3 0  0 0  3 0 0  0 0 1 | 0  3 0 1 0 0  0 1 0 0 0 0 0 | * 8 * * * * * * * * * | 1 1 0 0 0 0
o..x o..x3o..o ....&#x  ♦ 1 0 0 6 | 0 6 0 0 0 0 0 3  6 | 0 0 3  6 0  0 0  0 0 0  0 3 2 | 0  0 3 2 0 0  0 0 0 0 0 1 0 | * * 4 * * * * * * * * | 1 0 1 0 0 0
.... o..x3o..o3o..o&#x  ♦ 1 0 0 4 | 0 4 0 0 0 0 0 0  6 | 0 0 0  6 0  0 0  0 0 0  0 0 4 | 0  0 0 4 0 0  0 0 0 0 0 0 1 | * * * 2 * * * * * * * | 0 1 1 0 0 0
.xo. .ox.3.oo. ....&#x  ♦ 0 2 3 0 | 0 0 1 6 0 3 0 0  0 | 0 0 0  0 3  6 0  0 1 0  0 0 0 | 0  0 0 0 3 2  0 0 0 0 0 0 0 | * * * * 4 * * * * * * | 1 0 0 1 0 0
.... .ox.3.oo.3.oo.&#x  ♦ 0 1 4 0 | 0 0 0 4 0 6 0 0  0 | 0 0 0  0 0  6 0  0 4 0  0 0 0 | 0  0 0 0 0 4  0 0 1 0 0 0 0 | * * * * * 2 * * * * * | 0 0 0 1 1 0
.... .oxx3.ooo ....&#x  ♦ 0 1 3 3 | 0 0 0 3 3 3 3 0  3 | 0 0 0  0 0  3 3  3 1 0  3 0 1 | 0  0 0 0 0 1  3 1 0 0 1 0 0 | * * * * * * 8 * * * * | 1 0 0 0 1 0
.... .o.x3.o.o3.o.o&#x  ♦ 0 1 0 4 | 0 0 0 0 4 0 0 0  6 | 0 0 0  0 0  0 0  6 0 0  0 0 4 | 0  0 0 0 0 0  0 4 0 0 0 0 1 | * * * * * * * 2 * * * | 0 1 0 0 1 0
..ox ..xx3..oo ....&#x  ♦ 0 0 3 6 | 0 0 0 0 0 3 6 3  6 | 0 0 0  0 0  0 0  0 1 3  6 3 2 | 0  0 0 0 0 0  0 0 0 3 2 1 0 | * * * * * * * * 4 * * | 1 0 0 0 0 1
.... ..xx3..oo3..oo&#x  ♦ 0 0 4 4 | 0 0 0 0 0 6 4 0  6 | 0 0 0  0 0  0 0  0 4 0  6 0 4 | 0  0 0 0 0 0  0 0 1 0 4 0 1 | * * * * * * * * * 2 * | 0 0 0 0 1 1
...x ...x3...o3...o     ♦ 0 0 0 8 | 0 0 0 0 0 0 0 4 12 | 0 0 0  0 0  0 0  0 0 0  0 6 8 | 0  0 0 0 0 0  0 0 0 0 0 4 2 | * * * * * * * * * * 1 | 0 0 1 0 0 1
------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------
oxox ooxx3oooo ....&#xr ♦ 1 2 3 6 | 2 6 1 6 6 3 6 3  6 | 1 6 3  6 3  6 6  6 1 3  6 3 2 | 3  6 3 2 3 2  6 2 0 3 2 1 0 | 3 2 1 0 1 0 2 0 1 0 0 | 4 * * * * *
.... oo.x3oo.o3oo.o&#x  ♦ 1 1 0 4 | 1 4 0 0 4 0 0 0  6 | 0 4 0  6 0  0 0  6 0 0  0 0 4 | 0  6 0 4 0 0  0 4 0 0 0 0 1 | 0 4 0 1 0 0 0 1 0 0 0 | * 2 * * * *
o..x o..x3o..o3o..o&#x  ♦ 1 0 0 8 | 0 8 0 0 0 0 0 4 12 | 0 0 4 12 0  0 0  0 0 0  0 6 8 | 0  0 6 8 0 0  0 0 0 0 0 4 2 | 0 0 4 2 0 0 0 0 0 0 1 | * * 1 * * *
.xo. .ox.3.oo.3.oo.&#x  ♦ 0 2 4 0 | 0 0 1 8 0 6 0 0  0 | 0 0 0  0 4 12 0  0 4 0  0 0 0 | 0  0 0 0 6 8  0 0 1 0 0 0 0 | 0 0 0 0 4 2 0 0 0 0 0 | * * * 1 * *
.... .oxx3.ooo3.ooo&#x  ♦ 0 1 4 4 | 0 0 0 4 4 6 4 0  6 | 0 0 0  0 0  6 4  6 4 0  6 0 4 | 0  0 0 0 0 4  6 4 1 0 4 0 1 | 0 0 0 0 0 1 4 1 0 1 0 | * * * * 2 *
..ox ..xx3..oo3..oo&#x  ♦ 0 0 4 8 | 0 0 0 0 0 6 8 4 12 | 0 0 0  0 0  0 0  0 4 4 12 6 8 | 0  0 0 0 0 0  0 0 1 6 8 4 2 | 0 0 0 0 0 0 0 0 4 2 1 | * * * * * 1


xoxoxo3oooooo3oooooo&#xr   → all consecutive pairwise heights = sqrt(5/8) = 0.790569
                             all alternating pairwise heights = 1
                             Note: these lengths show that this cycle is not flat, rather it is wobbling up and down!

o.....3o.....3o.....     & | 12 * |  3  2  2 0 |  3  6  2  6 1  1 0 | 1  6  6 1  6 3  3 | 2  6 3 2 3  3 | 2 3 1 1
.o....3.o....3.o....     & |  * 3 ♦  0  8  0 2 |  0 12  4  0 0  8 1 | 0  8  6 4  0 0 12 | 2  4 6 0 0  8 | 1 4 0 2
---------------------------+------+------------+--------------------+-------------------+---------------+--------
x..... ...... ......     & |  2 0 | 18  *  * * |  2  2  0  2 0  0 0 | 1  4  2 0  4 1  1 | 2  4 1 2 2  2 | 2 2 1 1
oo....3oo....3oo....&#x  & |  1 1 |  * 24  * * |  0  3  1  0 0  1 0 | 0  3  3 1  0 0  3 | 1  3 3 0 0  3 | 1 3 0 1
o.o...3o.o...3o.o...&#x  & |  2 0 |  *  * 12 * |  0  0  1  3 1  0 0 | 0  0  3 1  3 3  0 | 0  3 3 1 3  0 | 1 3 1 0
.o.o..3.o.o..3.o.o..&#x  & |  0 2 |  *  *  * 3 |  0  0  0  0 0  4 1 | 0  0  0 4  0 0  6 | 0  0 6 0 0  4 | 0 4 0 1
---------------------------+------+------------+--------------------+-------------------+---------------+--------
x.....3o..... ......     & |  3 0 |  3  0  0 0 | 12  *  *  * *  * * | 1  2  0 0  2 0  0 | 2  2 0 2 1  1 | 2 1 1 1
xo.... ...... ......&#x  & |  2 1 |  1  2  0 0 |  * 36  *  * *  * * | 0  2  1 0  0 0  1 | 1  2 1 0 0  2 | 1 2 0 1
ooo...3ooo...3ooo...&#x  & |  2 1 |  0  2  1 0 |  *  * 12  * *  * * ♦ 0  0  3 1  0 0  0 | 0  3 3 0 0  0 | 1 3 0 0
x.x... ...... ......&#x  & |  4 0 |  2  0  2 0 |  *  *  * 18 *  * * | 0  0  1 0  2 1  0 | 0  2 1 1 2  0 | 1 2 1 0
o.o.o.3o.o.o.3o.o.o.&#x    |  3 0 |  0  0  3 0 |  *  *  *  * 4  * * | 0  0  0 1  0 3  0 | 0  0 3 0 3  0 | 0 3 1 0
.ooo..3.ooo..3.ooo..&#x  & |  1 2 |  0  2  0 1 |  *  *  *  * * 12 * | 0  0  0 1  0 0  3 | 0  0 3 0 0  3 | 0 3 0 1
.o.o.o3.o.o.o3.o.o.o&#x    |  0 3 |  0  0  0 3 |  *  *  *  * *  * 1 ♦ 0  0  0 4  0 0  0 | 0  0 6 0 0  0 | 0 4 0 0
---------------------------+------+------------+--------------------+-------------------+---------------+--------
x.....3o.....3o.....     & ♦  4 0 |  6  0  0 0 |  4  0  0  0 0  0 0 | 3  *  * *  * *  * | 2  0 0 2 0  0 | 2 0 1 1
xo....3oo.... ......&#x  & ♦  3 1 |  3  3  0 0 |  1  3  0  0 0  0 0 | * 24  * *  * *  * | 1  1 0 0 0  1 | 1 1 0 1
xox... ...... ......&#x  & ♦  4 1 |  2  4  2 0 |  0  2  2  1 0  0 0 | *  * 18 *  * *  * | 0  2 1 0 0  0 | 1 2 0 0
oooooo3oooooo3oooooo&#xr   ♦  3 3 |  0  6  3 3 |  0  0  3  0 1  3 1 | *  *  * 4  * *  * | 0  0 3 0 0  0 | 0 3 0 0
x.x...3o.o... ......&#x  & ♦  6 0 |  6  0  3 0 |  2  0  0  3 0  0 0 | *  *  * * 12 *  * | 0  1 0 1 1  0 | 1 1 1 0
x.x.x. ...... ......&#x    ♦  6 0 |  3  0  6 0 |  0  0  0  3 2  0 0 | *  *  * *  * 6  * | 0  0 1 0 2  0 | 0 2 1 0
.oxo.. ...... ......&#x  & ♦  2 2 |  1  4  0 1 |  0  2  0  0 0  2 0 | *  *  * *  * * 18 | 0  0 1 0 0  2 | 0 2 0 1
---------------------------+------+------------+--------------------+-------------------+---------------+--------
xo....3oo....3oo....&#x  & ♦  4 1 |  6  4  0 0 |  4  6  0  0 0  0 0 | 1  4  0 0  0 0  0 | 6  * * * *  * | 1 0 0 1
xox...3ooo... ......&#x  & ♦  6 1 |  6  6  3 0 |  2  6  3  3 0  0 0 | 0  2  3 0  1 0  0 | * 12 * * *  * | 1 1 0 0
xoxoxo ...... ......&#xr   ♦  6 3 |  3 12  6 3 |  0  6  6  3 2  6 1 | 0  0  3 2  0 1  3 | *  * 6 * *  * | 0 2 0 0
x.x...3o.o...3o.o...&#x  & ♦  8 0 | 12  0  4 0 |  8  0  0  6 0  0 0 | 2  0  0 0  4 0  0 | *  * * 3 *  * | 1 0 1 0
x.x.x.3o.o.o. ......&#x    ♦  9 0 |  9  0  9 0 |  3  0  0  9 3  0 0 | 0  0  0 0  3 3  0 | *  * * * 4  * | 0 1 1 0
.oxo..3.ooo.. ......&#x  & ♦  3 2 |  3  6  0 1 |  1  6  0  0 0  3 0 | 0  2  0 0  0 0  3 | *  * * * * 12 | 0 1 0 1
---------------------------+------+------------+--------------------+-------------------+---------------+--------
xox...3ooo...3ooo...&#x  & ♦  8 1 | 12  8  4 0 |  8 12  4  6 0  0 0 | 2  8  6 0  4 0  0 | 2  4 0 1 0  0 | 3 * * *
xoxoxo3oooooo ......&#xr   ♦  9 3 |  9 18  9 3 |  3 18  9  9 3  9 1 | 0  6  9 3  3 3  9 | 0  3 3 0 1  3 | * 4 * *
x.x.x.3o.o.o.3o.o.o.&#x    ♦ 12 0 | 18  0 12 0 | 12  0  0 18 4  0 0 | 3  0  0 0 12 6  0 | 0  0 0 3 4  0 | * * 1 *
.oxo..3.ooo..3.ooo..&#x  & ♦  4 2 |  6  8  0 1 |  4 12  0  0 0  4 0 | 1  8  0 0  0 0  6 | 2  0 0 0 0  4 | * * * 3

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