Acronym hax
Name hemihexeract,
vertex figure of laq
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art
      +----- o3o3o3o3o (point)
     / +---- o3x3o3o3o (rix)
    / / +--- o3o3o3x3o (inv. rix)
   / / / +-- o3o3o3o3o (point)
  / / / /
        
o R p 	-- x3o3o *b3o3o (hin)
 P r o	-- o3o3x *b3o3o (alt. hin)
        
  \ \ \
   \ \ +-- x3o3o3o3o (hix)
    \ +--- o3o3x3o3o (dot)
     +---- o3o3o3o3x (dual hix)

where:
o = o3o3o3o (point)
P = x3o3o3o (pen)
R = o3x3o3o (rap)
r = o3o3x3o (inv. rap)
p = o3o3o3x (dual pen)
 ©  
       _+------ o x3o3o *c3o (hex)
     _/  _+---- x o3o3x *c3o (alt. hexip)
   _/  _/  _+-- o x3o3o *c3o (hex)
  /   /   /

h   H	-- x3o3o *b3o3o (hin)
     
H   h	-- o3o3x *b3o3o (alt. hin)

where:
h = x3o3o *b3o (hex)
H = o3o3x *b3o (alt. hex)
Coordinates (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8))   & all even permutations, all even changes of sign
Confer
related segmentopeta:
rixpy   hixadot   pabdihax  
general polytopal classes:
segmentopeta   fundamental lace prisms  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o3o *b3o3o3o

. . .    . . . | 32   15 |  60 |  20  60 | 15  30 |  6  6
---------------+----+-----+-----+---------+--------+------
x . .    . . . |  2 | 240    8 |   4  12 |  6   8 |  4  2
---------------+----+-----+-----+---------+--------+------
x3o .    . . . |  3 |   3 | 640 |   1   3 |  3   3 |  3  1
---------------+----+-----+-----+---------+--------+------
x3o3o    . . .   4 |   6 |   4 | 160   * |  3   0 |  3  0
x3o . *b3o . .   4 |   6 |   4 |   * 480 |  1   2 |  2  1
---------------+----+-----+-----+---------+--------+------
x3o3o *b3o . .   8 |  24 |  32 |   8   8 | 60   * |  2  0
x3o . *b3o3o .   5 |  10 |  10 |   0   5 |  * 192 |  1  1
---------------+----+-----+-----+---------+--------+------
x3o3o *b3o3o .  16 |  80 | 160 |  40  80 | 10  16 | 12  *
x3o . *b3o3o3o   6 |  15 |  20 |   0  15 |  0   6 |  * 32

o3o3o3o3o4s

demi( . . . . . . ) | 32   15 |  60 |  20  60 | 15  30 |  6  6
--------------------+----+-----+-----+---------+--------+------
      . . . . o4s   |  2 | 240    8 |   4  12 |  6   8 |  4  2
--------------------+----+-----+-----+---------+--------+------
sefa( . . . o3o4s ) |  3 |   3 | 640 |   1   3 |  3   3 |  3  1
--------------------+----+-----+-----+---------+--------+------
      . . . o3o4s     4 |   6 |   4 | 160   * |  3   0 |  3  0
sefa( . . o3o3o4s )   4 |   6 |   4 |   * 480 |  1   2 |  2  1
--------------------+----+-----+-----+---------+--------+------
      . . o3o3o4s     8 |  24 |  32 |   8   8 | 60   * |  2  0
sefa( . o3o3o3o4s )   5 |  10 |  10 |   0   5 |  * 192 |  1  1
--------------------+----+-----+-----+---------+--------+------
      . o3o3o3o4s    16 |  80 | 160 |  40  80 | 10  16 | 12  *
sefa( o3o3o3o3o4s )   6 |  15 |  20 |   0  15 |  0   6 |  * 32

starting figure: o3o3o3o3o4x

xo3oo3ox *b3oo3oo&#x   → height = 1/sqrt(2) = 0.707107
(hin || alternate hin)

o.3o.3o. *b3o.3o.    | 16  *  10  5  0 |  30  20  10   0 | 10 20  30 10  10  0  0 |  5  5 10 20  5  0  0 | 1  5  5  1 0
.o3.o3.o *b3.o3.o    |  * 16   0  5 10 |   0  10  20  30 |  0  0  10 10  30 10 20 |  0  0 10  5 20  5  5 | 0  5  1  5 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x. .. ..    .. ..    |  2  0 | 80  *  *    6   2   0   0 |  3  6   6  1   0  0  0 |  3  2  3  6  0  0  0 | 1  3  2  0 0
oo3oo3oo *b3oo3oo&#x |  1  1 |  * 80  *    0   4   4   0 |  0  0   6  4   6  0  0 |  0  0  6  4  4  0  0 | 0  4  1  1 0
.. .. .x    .. ..    |  0  2 |  *  * 80    0   0   2   6 |  0  0   0  1   6  3  6 |  0  0  3  0  6  3  2 | 0  3  0  2 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o. ..    .. ..    |  3  0 |  3  0  0 | 160   *   *   * |  1  2   1  0   0  0  0 |  2  1  1  2  0  0  0 | 1  2  1  0 0
xo .. ..    .. ..&#x |  2  1 |  1  2  0 |   * 160   *   * |  0  0   3  1   0  0  0 |  0  0  3  3  0  0  0 | 0  3  1  0 0
.. .. ox    .. ..&#x |  1  2 |  0  2  1 |   *   * 160   * |  0  0   0  1   3  0  0 |  0  0  3  0  3  0  0 | 0  3  0  1 0
.. .o3.x    .. ..    |  0  3 |  0  0  3 |   *   *   * 160 |  0  0   0  0   1  1  2 |  0  0  1  0  2  2  1 | 0  2  0  1 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o.3o.    .. ..      4  0 |  6  0  0 |   4   0   0   0 | 40  *   *  *   *  *  * |  2  0  1  0  0  0  0 | 1  2  0  0 0
x.3o. .. *b3o. ..      4  0 |  6  0  0 |   4   0   0   0 |  * 80   *  *   *  *  * |  1  1  0  1  0  0  0 | 1  1  1  0 0
xo3oo ..    .. ..&#x   3  1 |  3  3  0 |   1   3   0   0 |  *  * 160  *   *  *  * |  0  0  1  2  0  0  0 | 0  2  1  0 0
xo .. ox    .. ..&#x   2  2 |  1  4  1 |   0   2   2   0 |  *  *   * 80   *  *  * |  0  0  3  0  0  0  0 | 0  3  0  0 0
.. oo3ox    .. ..&#x   1  3 |  0  3  3 |   0   0   3   1 |  *  *   *  * 160  *  * |  0  0  1  0  2  0  0 | 0  2  0  1 0
.o3.o3.x    .. ..      0  4 |  0  0  6 |   0   0   0   4 |  *  *   *  *   * 40  * |  0  0  1  0  0  2  0 | 0  2  0  0 1
.. .o3.x *b3.o ..      0  4 |  0  0  6 |   0   0   0   4 |  *  *   *  *   *  * 80 |  0  0  0  0  1  1  1 | 0  1  0  1 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o.3o. *b3o. ..      8  0 | 24  0  0 |  32   0   0   0 |  8  8   0  0   0  0  0 | 10  *  *  *  *  *  * | 1  1  0  0 0
x.3o. .. *b3o.3o.      5  0 | 10  0  0 |  10   0   0   0 |  0  5   0  0   0  0  0 |  * 16  *  *  *  *  * | 1  0  1  0 0
xo3oo3ox    .. ..&#x   4  4 |  6 12  6 |   4  12  12   4 |  1  0   4  6   4  1  0 |  *  * 40  *  *  *  * | 0  2  0  0 0
xo3oo .. *b3oo ..&#x   4  1 |  6  4  0 |   4   6   0   0 |  0  1   4  0   0  0  0 |  *  *  * 80  *  *  * | 0  1  1  0 0
.. oo3ox *b3oo ..&#x   1  4 |  0  4  6 |   0   0   6   4 |  0  0   0  0   4  0  1 |  *  *  *  * 80  *  * | 0  1  0  1 0
.o3.o3.x *b3.o ..      0  8 |  0  0 24 |   0   0   0  32 |  0  0   0  0   0  8  8 |  *  *  *  *  * 10  * | 0  1  0  0 1
.. .o3.x *b3.o3.o      0  5 |  0  0 10 |   0   0   0  10 |  0  0   0  0   0  0  5 |  *  *  *  *  *  * 16 | 0  0  0  1 1
---------------------+-------+----------+-----------------+------------------------+----------------------+-------------
x.3o.3o. *b3o.3o.     16  0 | 80  0  0 | 160   0   0   0 | 40 80   0  0   0  0  0 | 10 16  0  0  0  0  0 | 1  *  *  * *
xo3oo3oo *b3oo ..&#x   8  8 | 24 32 24 |  32  48  48  32 |  8  8  32 24  32  8  8 |  1  0  8  8  8  1  0 | * 10  *  * *
xo3oo .. *b3oo3oo&#x   5  1 | 10  5  0 |  10  10   0   0 |  0  5  10  0   0  0  0 |  0  1  0  5  0  0  0 | *  * 16  * *
.. oo3ox *b3oo3oo&#x   1  5 |  0  5 10 |   0   0  10  10 |  0  0   0  0  10  0  5 |  0  0  0  0  5  0  1 | *  *  * 16 *
.o3.o3.x *b3.o3.o      0 16 |  0  0 80 |   0   0   0 160 |  0  0   0  0   0 40 80 |  0  0  0  0  0 10 16 | *  *  *  * 1
or
o.3o.3o. *b3o.3o.    & | 32   10  5 |  30  30 | 10  20  40 10 |  5  5 10  25 | 1  5  6
-----------------------+----+--------+---------+---------------+--------------+--------
x. .. ..    .. ..    & |  2 | 160  *    6   2 |  3   6   6  1 |  3  2  3   6 | 1  3  2
oo3oo3oo *b3oo3oo&#x   |  2 |   * 80    0   8 |  0   0  12  4 |  0  0  6   8 | 0  4  2
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o. ..    .. ..    & |  3 |   3  0 | 320   * |  1   2   1  0 |  2  1  1   2 | 1  2  1
xo .. ..    .. ..&#x & |  3 |   1  2 |   * 320 |  0   0   3  1 |  0  0  3   3 | 0  3  1
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o.3o.    .. ..    &   4 |   6  0 |   4   0 | 80   *   *  * |  2  0  1   0 | 1  2  0
x.3o. .. *b3o. ..    &   4 |   6  0 |   4   0 |  * 160   *  * |  1  1  0   1 | 1  1  1
xo3oo ..    .. ..&#x &   4 |   3  3 |   1   3 |  *   * 320  * |  0  0  1   2 | 0  2  1
xo .. ox    .. ..&#x     4 |   2  4 |   0   4 |  *   *   * 80 |  0  0  3   0 | 0  3  0
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o.3o. *b3o. ..    &   8 |  24  0 |  32   0 |  8   8   0  0 | 20  *  *   * | 1  1  0
x.3o. .. *b3o.3o.    &   5 |  10  0 |  10   0 |  0   5   0  0 |  * 32  *   * | 1  0  1
xo3oo3ox    .. ..&#x     8 |  12 12 |   8  24 |  2   0   8  6 |  *  * 40   * | 0  2  0
xo3oo .. *b3oo ..&#x &   5 |   6  4 |   4   6 |  0   1   4  0 |  *  *  * 160 | 0  1  1
-----------------------+----+--------+---------+---------------+--------------+--------
x.3o.3o. *b3o.3o.    &  16 |  80  0 | 160   0 | 40  80   0  0 | 10 16  0   0 | 2  *  *
xo3oo3oo *b3oo ..&#x    16 |  48 32 |  64  96 | 16  16  64 24 |  2  0  8  16 | * 10  *
xo3oo .. *b3oo3oo&#x &   6 |  10  5 |  10  10 |  0   5  10  0 |  0  1  0   5 | *  * 32

xoo3ooo3oxo3ooo3oox&#xt   → both heights = 1/sqrt(3) = 0.577350
(hix || pseudo dot || inv hix)

o..3o..3o..3o..3o..     & | 12  *   5  10  0 | 10  20  30   0 | 10 10  30  10  20  0 |  5 10  20  5  5 | 1  5  6
.o.3.o.3.o.3.o.3.o.       |  * 20   0   6  9 |  0   6  36  18 |  0  2  18  18  36  6 |  0  6  18 12  9 | 0  6  6
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x.. ... ... ... ...     & |  2  0 | 30   *  *   4   4   0   0 |  6  4   6   0   0  0 |  4  6   4  0  0 | 1  1  4
oo.3oo.3oo.3oo.3oo.&#x  & |  1  1 |  * 120  *   0   2   6   0 |  0  1   6   3   6  0 |  0  3   6  2  3 | 0  2  4
... ... .x. ... ...       |  0  2 |  *   * 90   0   0   4   4 |  0  0   2   4   8  2 |  0  2   4  4  4 | 0  2  4
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o.. ... ... ...     & |  3  0 |  3   0  0 | 40   *   *   * |  3  1   0   0   0  0 |  3  3   0  0  0 | 1  0  3
xo. ... ... ... ...&#x  & |  2  1 |  1   2  0 |  * 120   *   * |  0  1   3   0   0  0 |  0  3   3  0  0 | 0  1  3
... ... ox. ... ...&#x  & |  1  2 |  0   2  1 |  *   * 360   * |  0  0   1   1   2  0 |  0  1   2  1  2 | 0  1  3
... .o.3.x. ... ...     & |  0  3 |  0   0  3 |  *   *   * 120 |  0  0   0   1   2  1 |  0  1   1  2  2 | 0  1  3
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o..3o.. ... ...     &   4  0 |  6   0  0 |  4   0   0   0 | 30  *   *   *   *  * |  2  1   0  0  0 | 1  0  2
xo.3oo. ... ... ...&#x  &   3  1 |  3   3  0 |  1   3   0   0 |  * 40   *   *   *  * |  0  3   0  0  0 | 0  0  3
xo. ... ox. ... ...&#x  &   2  2 |  1   4  1 |  0   2   2   0 |  *  * 180   *   *  * |  0  1   2  0  0 | 0  1  2
... oo.3ox. ... ...&#x  &   1  3 |  0   3  3 |  0   0   3   1 |  *  *   * 120   *  * |  0  1   0  0  2 | 0  0  3
... ... ox.3oo. ...&#x  &   1  3 |  0   3  3 |  0   0   3   1 |  *  *   *   * 240  * |  0  0   1  1  1 | 0  1  2
.o.3.o.3.x. ... ...     &   0  4 |  0   0  6 |  0   0   0   4 |  *  *   *   *   * 30 |  0  1   0  2  0 | 0  1  2
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o..3o..3o.. ...     &   5  0 | 10   0  0 | 10   0   0   0 |  5  0   0   0   0  0 | 12  *   *  *  * | 1  0  1
xo.3oo.3ox. ... ...&#x  &   4  4 |  6  12  6 |  4  12  12   4 |  1  4   6   4   0  1 |  * 30   *  *  * | 0  0  2
xo. ... ox.3oo. ...&#x  &   2  3 |  1   6  3 |  0   3   6   1 |  0  0   3   0   2  0 |  *  * 120  *  * | 0  1  1
... ... ox.3oo.3oo.&#x  &   1  4 |  0   4  6 |  0   0   6   4 |  0  0   0   0   4  1 |  *  *   * 60  * | 0  1  1
... ooo3oxo3ooo ...&#xt     2  6 |  0  12 12 |  0   0  24   8 |  0  0   0   8   8  0 |  *  *   *  * 30 | 0  0  2
--------------------------+-------+-----------+----------------+----------------------+-----------------+--------
x..3o..3o..3o..3o..     &   6  0 | 15   0  0 | 20   0   0   0 | 15  0   0   0   0  0 |  6  0   0  0  0 | 2  *  *
xo. ... ox.3oo.3oo.&#x  &   2  4 |  1   8  6 |  0   4  12   4 |  0  0   6   0   8  1 |  0  0   4  2  0 | * 30  *
xoo3ooo3oxo3ooo ...&#xt &   6 10 | 10  40 30 | 10  30  90  30 |  5 10  30  30  40  5 |  1  5  10  5  5 | *  * 12

oooo3oxoo3oooo3ooxo3oooo&#xt   → all heights = 1/sqrt(3) = 0.577350
(pt || pseudo rix || inv pseudo rix || pt)
                 
o...3o...3o...3o...3o...      & | 2  *  15   0  0 |  60  0   0   0 | 20  60  0   0   0   0 | 15 30  0   0  0 |  6  6  0
.o..3.o..3.o..3.o..3.o..      & | * 30   1   8  6 |   8  4  12  36 |  4  12  8  16  16  24 |  7  8  2  20  8 |  6  2  4
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
oo..3oo..3oo..3oo..3oo..&#x   & | 1  1 | 30   *  *    8  0   0   0 |  4  12  0   0   0   0 |  6  8  0   0  0 |  4  2  0
.... .x.. .... .... ....      & | 0  2 |  * 120  *    1  1   3   3 |  1   3  3   3   3   3 |  3  3  1   4  3 |  4  1  1
.oo.3.oo.3.oo.3.oo.3.oo.&#x     | 0  2 |  *   * 90    0  0   0   8 |  0   0  0   4   4   8 |  2  0  0   8  4 |  4  0  2
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
.... ox.. .... .... ....&#x   & | 1  2 |  2   1  0 | 120  *   *   * |  1   3  0   0   0   0 |  3  3  0   0  0 |  3  1  0
.o..3.x.. .... .... ....      & | 0  3 |  0   3  0 |   * 40   *   * |  1   0  0   3   0   0 |  3  0  0   3  0 |  3  0  1
.... .x..3.o.. .... ....      & | 0  3 |  0   3  0 |   *  * 120   * |  0   1  2   0   1   0 |  1  2  1   0  2 |  3  1  0
.... .xo. .... .... ....&#x   & | 0  3 |  0   1  2 |   *  *   * 360 |  0   0  0   1   1   2 |  1  0  0   3  2 |  3  0  1
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
oo..3ox.. .... .... ....&#x   &  1  3 |  3   3  0 |   3  1   0   0 | 40   *  *   *   *   * |  3  0  0   0  0 |  3  0  0
.... ox..3oo.. .... ....&#x   &  1  3 |  3   3  0 |   3  0   1   0 |  * 120  *   *   *   * |  1  2  0   0  0 |  2  1  0
.... .x..3.o..3.o.. ....      &  0  4 |  0   6  0 |   0  0   4   0 |  *   * 60   *   *   * |  0  1  1   0  1 |  2  1  0
.oo.3.xo. .... .... ....&#x   &  0  4 |  0   3  3 |   0  1   0   3 |  *   *  * 120   *   * |  1  0  0   2  0 |  2  0  1
.... .xo.3.oo. .... ....&#x   &  0  4 |  0   3  3 |   0  0   1   3 |  *   *  *   * 120   * |  1  0  0   0  2 |  3  0  0
.... .xo. .... .ox. ....&#x      0  4 |  0   2  4 |   0  0   0   4 |  *   *  *   *   * 180 |  0  0  0   2  1 |  2  0  1
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
ooo.3oxo.3ooo. .... ....&#xt  &  1  7 |  6  12  6 |  12  4   4  12 |  4   4  0   4   4   0 | 30  *  *   *  * |  2  0  0
.... ox..3oo..3oo.. ....&#x   &  1  4 |  4   6  0 |   6  0   4   0 |  0   4  1   0   0   0 |  * 60  *   *  * |  1  1  0
.... .x..3.o..3.o..3.o..      &  0  5 |  0  10  0 |   0  0  10   0 |  0   0  5   0   0   0 |  *  * 12   *  * |  1  1  0
.oo.3.xo. .... .ox. ....&#x   &  0  5 |  0   4  6 |   0  1   0   9 |  0   0  0   2   0   3 |  *  *  * 120  * |  1  0  1
.... .xo.3.oo.3.ox. ....&#x      0  8 |  0  12 12 |   0  0   8  24 |  0   0  2   0   8   6 |  *  *  *   * 30 |  2  0  0
--------------------------------+------+-----------+----------------+-----------------------+-----------------+---------
ooo.3oxo.3ooo.3oox. ....&#xt  &  1 15 | 10  40 30 |  30 10  30  90 | 10  20 10  20  30  30 |  5  5  1  10  5 | 12  *  *
.... ox..3oo..3oo..3oo..&#x   &  1  5 |  5  10  0 |  10  0  10   0 |  0  10  5   0   0   0 |  0  5  1   0  0 |  * 12  *
.oo.3.xo. .... .ox.3.oo.&#x      0  6 |  0   6  9 |   0  2   0  18 |  0   0  0   6   0   9 |  0  0  0   6  0 |  *  * 20

oxo xox3ooo3ooo *c3oxo&#xt   → both heights = 1/2
(hex || pseudo gyro hexip || (para) hex)

o.. o..3o..3o.. *c3o..     | 8  * *   6  8 1 0  0  0  0 | 12  4 24 12  8  0  0  0  0  0 | 4 4 12 24 12  8  4 12  0  0  0  0  0  0 0 0 | 1 12  8  8  2  6  8 0  0  0  0  0 0 | 4 2 4  2 0 0
.o. .o.3.o.3.o. *c3.o.     | * 16 *   0  4 0 1  6  4  0 |  0  4  6 12  4 12  4  6 12  0 | 0 0  6  4  6 12  4 12  4  4  6  4  6 12 0 0 | 0  4  1  4  4  6 12 1  4  1  4  4 0 | 1 1 4  4 1 1
..o ..o3..o3..o *c3..o     | *  * 8   0  0 1 0  0  8  6 |  0  0  0  0  8  0  4 24 12 12 | 0 0  0  0  0  0  4 12  0  0 12 24 12  8 4 4 | 0  0  0  0  0  6  8 0 12  8  8  2 1 | 0 0 4  2 4 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x.. ... ...    ...     | 2  0 0 | 24  * * *  *  *  *   4  0  4  0  0  0  0  0  0  0 | 2 2  2  8  2  0  0  0  0  0  0  0  0  0 0 0 | 1  4  4  4  0  1  0 0  0  0  0  0 0 | 2 2 2  0 0 0
oo. oo.3oo.3oo. *c3oo.&#x  | 1  1 0 |  * 64 * *  *  *  *   0  1  3  3  1  0  0  0  0  0 | 0 0  3  3  3  3  1  3  0  0  0  0  0  0 0 0 | 0  3  1  3  1  3  3 0  0  0  0  0 0 | 1 1 3  1 0 0
o.o o.o3o.o3o.o *c3o.o&#x  | 1  0 1 |  *  * 8 *  *  *  *   0  0  0  0  8  0  0  0  0  0 | 0 0  0  0  0  0  4 12  0  0  0  0  0  0 0 0 | 0  0  0  0  0  6  8 0  0  0  0  0 0 | 0 0 4  2 0 0
.x. ... ... ...    ...     | 0  2 0 |  *  * * 8  *  *  *   0  4  0  0  0  0  4  0  0  0 | 0 0  6  0  0  0  4  0  0  0  6  0  0  0 0 0 | 0  4  0  0  0  6  0 0  4  0  0  0 0 | 1 0 4  0 1 0
... ... ... ...    .x.     | 0  2 0 |  *  * * * 48  *  *   0  0  0  2  0  4  0  0  2  0 | 0 0  0  0  1  4  0  2  2  2  0  0  1  4 0 0 | 0  0  0  2  2  1  4 1  0  0  2  2 0 | 0 1 2  2 0 1
.oo .oo3.oo3.oo *c3.oo&#x  | 0  1 1 |  *  * * *  * 64  *   0  0  0  0  1  0  1  3  3  0 | 0 0  0  0  0  0  1  3  0  0  3  3  3  3 0 0 | 0  0  0  0  0  3  3 0  3  1  3  1 0 | 0 0 3  1 1 1
... ..x ... ...    ...     | 0  0 2 |  *  * * *  *  * 24   0  0  0  0  0  0  0  4  0  4 | 0 0  0  0  0  0  0  0  0  0  2  8  2  0 2 2 | 0  0  0  0  0  1  0 0  4  4  4  0 1 | 0 0 2  0 2 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x..3o.. ...    ...     | 3  0 0 |  3  0 0 0  0  0  0 | 32  *  *  *  *  *  *  *  *  * | 1 1  0  2  0  0  0  0  0  0  0  0  0  0 0 0 | 1  1  2  2  0  0  0 0  0  0  0  0 0 | 1 2 1  0 0 0
ox. ... ... ...    ...&#x  | 1  2 0 |  0  2 0 1  0  0  0 |  * 32  *  *  *  *  *  *  *  * | 0 0  3  0  0  0  1  0  0  0  0  0  0  0 0 0 | 0  3  0  0  0  3  0 0  0  0  0  0 0 | 1 0 3  0 0 0
... xo. ... ...    ...&#x  | 2  1 0 |  1  2 0 0  0  0  0 |  *  * 96  *  *  *  *  *  *  * | 0 0  1  2  1  0  0  0  0  0  0  0  0  0 0 0 | 0  2  1  2  0  1  0 0  0  0  0  0 0 | 1 1 2  0 0 0
... ... ... ...    ox.&#x  | 1  2 0 |  0  2 0 0  1  0  0 |  *  *  * 96  *  *  *  *  *  * | 0 0  0  0  1  2  0  1  0  0  0  0  0  0 0 0 | 0  0  0  2  1  1  2 0  0  0  0  0 0 | 0 1 2  1 0 0
ooo ooo3ooo3ooo *c3ooo&#x  | 1  1 1 |  0  1 1 0  0  1  0 |  *  *  *  * 64  *  *  *  *  * | 0 0  0  0  0  0  1  3  0  0  0  0  0  0 0 0 | 0  0  0  0  0  3  3 0  0  0  0  0 0 | 0 0 3  1 0 0
... ... .o. ... *c3.x.     | 0  3 0 |  0  0 0 0  3  0  0 |  *  *  *  *  * 64  *  *  *  * | 0 0  0  0  0  1  0  0  1  1  0  0  0  1 0 0 | 0  0  0  1  1  0  1 1  0  0  1  1 0 | 0 1 1  1 0 1
.xo ... ... ...    ...&#x  | 0  2 1 |  0  0 0 1  0  2  0 |  *  *  *  *  *  * 32  *  *  * | 0 0  0  0  0  0  1  0  0  0  3  0  0  0 0 0 | 0  0  0  0  0  3  0 0  3  0  0  0 0 | 0 0 3  0 1 0
... .ox ... ...    ...&#x  | 0  1 2 |  0  0 0 0  0  2  1 |  *  *  *  *  *  *  * 96  *  * | 0 0  0  0  0  0  0  0  0  0  1  2  1  0 0 0 | 0  0  0  0  0  1  0 0  2  1  2  0 0 | 0 0 2  0 1 1
... ... ... ...    .xo&#x  | 0  2 1 |  0  0 0 0  1  2  0 |  *  *  *  *  *  *  *  * 96  * | 0 0  0  0  0  0  0  1  0  0  0  0  1  2 0 0 | 0  0  0  0  0  1  2 0  0  0  2  1 0 | 0 0 2  1 0 1
... ..x3..o ...    ...     | 0  0 3 |  0  0 0 0  0  0  3 |  *  *  *  *  *  *  *  *  * 32 | 0 0  0  0  0  0  0  0  0  0  0  2  0  0 1 1 | 0  0  0  0  0  0  0 0  1  2  2  0 1 | 0 0 1  0 1 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x..3o..3o..    ...      4  0 0 |  6  0 0 0  0  0  0 |  4  0  0  0  0  0  0  0  0  0 | 8 *  *  *  *  *  *  *  *  *  *  *  *  * * * | 1  0  2  0  0  0  0 0  0  0  0  0 0 | 1 2 0  0 0 0
... x..3o.. ... *c3o..      4  0 0 |  6  0 0 0  0  0  0 |  4  0  0  0  0  0  0  0  0  0 | * 8  *  *  *  *  *  *  *  *  *  *  *  * * * | 1  0  0  2  0  0  0 0  0  0  0  0 0 | 0 2 1  0 0 0
ox. xo. ... ...    ...&#x   2  2 0 |  1  4 0 1  0  0  0 |  0  2  2  0  0  0  0  0  0  0 | * * 48  *  *  *  *  *  *  *  *  *  *  * * * | 0  2  0  0  0  1  0 0  0  0  0  0 0 | 1 0 2  0 0 0
... xo.3oo. ...    ...&#x   3  1 0 |  3  3 0 0  0  0  0 |  1  0  3  0  0  0  0  0  0  0 | * *  * 64  *  *  *  *  *  *  *  *  *  * * * | 0  1  1  1  0  0  0 0  0  0  0  0 0 | 1 1 1  0 0 0
... xo. ... ...    ox.&#x   2  2 0 |  1  4 0 0  1  0  0 |  0  0  2  2  0  0  0  0  0  0 | * *  *  * 48  *  *  *  *  *  *  *  *  * * * | 0  0  0  2  0  1  0 0  0  0  0  0 0 | 0 1 2  0 0 0
... ... oo. ... *c3ox.&#x   1  3 0 |  0  3 0 0  3  0  0 |  0  0  0  3  0  1  0  0  0  0 | * *  *  *  * 64  *  *  *  *  *  *  *  * * * | 0  0  0  1  1  0  1 0  0  0  0  0 0 | 0 1 1  1 0 0
oxo ... ... ...    ...&#x   1  2 1 |  0  2 1 1  0  2  0 |  0  1  0  0  2  0  1  0  0  0 | * *  *  *  *  * 32  *  *  *  *  *  *  * * * | 0  0  0  0  0  3  0 0  0  0  0  0 0 | 0 0 3  0 0 0
... ... ... ...    oxo&#x   1  2 1 |  0  2 1 0  1  2  0 |  0  0  0  1  2  0  0  0  1  0 | * *  *  *  *  *  * 96  *  *  *  *  *  * * * | 0  0  0  0  0  1  2 0  0  0  0  0 0 | 0 0 2  1 0 0
... .o.3.o. ... *c3.x.      0  4 0 |  0  0 0 0  6  0  0 |  0  0  0  0  0  4  0  0  0  0 | * *  *  *  *  *  *  * 16  *  *  *  *  * * * | 0  0  0  1  0  0  0 1  0  0  1  0 0 | 0 1 1  0 0 1
... ... .o.3.o. *c3.x.      0  4 0 |  0  0 0 0  6  0  0 |  0  0  0  0  0  4  0  0  0  0 | * *  *  *  *  *  *  *  * 16  *  *  *  * * * | 0  0  0  0  1  0  0 1  0  0  0  1 0 | 0 1 0  1 0 1
.xo .ox ... ...    ...&#x   0  2 2 |  0  0 0 1  0  4  1 |  0  0  0  0  0  0  2  2  0  0 | * *  *  *  *  *  *  *  *  * 48  *  *  * * * | 0  0  0  0  0  1  0 0  2  0  0  0 0 | 0 0 2  0 1 0
... .ox3.oo ...    ...&#x   0  1 3 |  0  0 0 0  0  3  3 |  0  0  0  0  0  0  0  3  0  1 | * *  *  *  *  *  *  *  *  *  * 64  *  * * * | 0  0  0  0  0  0  0 0  1  1  1  0 0 | 0 0 1  0 1 1
... .ox ... ...    .xo&#x   0  2 2 |  0  0 0 0  1  4  1 |  0  0  0  0  0  0  0  2  2  0 | * *  *  *  *  *  *  *  *  *  *  * 48  * * * | 0  0  0  0  0  1  0 0  0  0  2  0 0 | 0 0 2  0 0 1
... ... .oo ... *c3.xo&#x   0  3 1 |  0  0 0 0  3  3  0 |  0  0  0  0  0  1  0  0  3  0 | * *  *  *  *  *  *  *  *  *  *  *  * 64 * * | 0  0  0  0  0  0  1 0  0  0  1  1 0 | 0 0 1  1 0 1
... ..x3..o3..o    ...      0  0 4 |  0  0 0 0  0  0  6 |  0  0  0  0  0  0  0  0  0  4 | * *  *  *  *  *  *  *  *  *  *  *  *  * 8 * | 0  0  0  0  0  0  0 0  0  2  0  0 1 | 0 0 0  0 1 2
... ..x3..o ... *c3..o      0  0 4 |  0  0 0 0  0  0  6 |  0  0  0  0  0  0  0  0  0  4 | * *  *  *  *  *  *  *  *  *  *  *  *  * * 8 | 0  0  0  0  0  0  0 0  0  0  2  0 1 | 0 0 1  0 0 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
... x..3o..3o.. *c3o..      8  0 0 | 24  0 0 0  0  0  0 | 32  0  0  0  0  0  0  0  0  0 | 8 8  0  0  0  0  0  0  0  0  0  0  0  0 0 0 | 1  *  *  *  *  *  * *  *  *  *  * * | 0 2 0  0 0 0
ox. xo.3oo. ...    ...&#x   3  2 0 |  3  6 0 1  0  0  0 |  1  3  6  0  0  0  0  0  0  0 | 0 0  3  2  0  0  0  0  0  0  0  0  0  0 0 0 | * 32  *  *  *  *  * *  *  *  *  * * | 1 0 1  0 0 0
... xo.3oo.3oo.    ...&#x   4  1 0 |  6  4 0 0  0  0  0 |  4  0  6  0  0  0  0  0  0  0 | 1 0  0  4  0  0  0  0  0  0  0  0  0  0 0 0 | *  * 16  *  *  *  * *  *  *  *  * * | 1 1 0  0 0 0
... xo.3oo. ... *c3ox.&#x   4  4 0 |  6 12 0 0  6  0  0 |  4  0 12 12  0  4  0  0  0  0 | 0 1  0  4  6  4  0  0  1  0  0  0  0  0 0 0 | *  *  * 16  *  *  * *  *  *  *  * * | 0 1 1  0 0 0
... ... oo.3oo. *c3ox.&#x   1  4 0 |  0  4 0 0  6  0  0 |  0  0  0  6  0  4  0  0  0  0 | 0 0  0  0  0  4  0  0  0  1  0  0  0  0 0 0 | *  *  *  * 16  *  * *  *  *  *  * * | 0 1 0  1 0 0
oxo xox ... ...    oxo&#xt  2  4 2 |  1  8 2 2  2  8  1 |  0  4  4  4  8  0  4  4  4  0 | 0 0  2  0  2  0  4  4  0  0  2  0  2  0 0 0 | *  *  *  *  * 24  * *  *  *  *  * * | 0 0 2  0 0 0
... ... ooo ... *c3oxo&#x   1  3 1 |  0  3 1 0  3  3  0 |  0  0  0  3  3  1  0  0  3  0 | 0 0  0  0  0  1  0  3  0  0  0  0  0  1 0 0 | *  *  *  *  *  * 64 *  *  *  *  * * | 0 0 1  1 0 0
... .o.3.o.3.o. *c3.x.      0  8 0 |  0  0 0 0 24  0  0 |  0  0  0  0  0 32  0  0  0  0 | 0 0  0  0  0  0  0  0  8  8  0  0  0  0 0 0 | *  *  *  *  *  *  * 2  *  *  *  * * | 0 1 0  0 0 1
.xo .ox3.oo ...    ...&#x   0  2 3 |  0  0 0 1  0  6  3 |  0  0  0  0  0  0  3  6  0  1 | 0 0  0  0  0  0  0  0  0  0  3  2  0  0 0 0 | *  *  *  *  *  *  * * 32  *  *  * * | 0 0 1  0 1 0
... .ox3.oo3.oo    ...&#x   0  1 4 |  0  0 0 0  0  4  6 |  0  0  0  0  0  0  0  6  0  4 | 0 0  0  0  0  0  0  0  0  0  0  4  0  0 1 0 | *  *  *  *  *  *  * *  * 16  *  * * | 0 0 0  0 1 1
... .ox3.oo ... *c3.xo&#x   0  4 4 |  0  0 0 0  6 12  6 |  0  0  0  0  0  4  0 12 12  4 | 0 0  0  0  0  0  0  0  1  0  0  4  6  4 0 1 | *  *  *  *  *  *  * *  *  * 16  * * | 0 0 1  0 0 1
... ... .oo3.oo *c3.xo&#x   0  4 1 |  0  0 0 0  6  4  0 |  0  0  0  0  0  4  0  0  6  0 | 0 0  0  0  0  0  0  0  0  1  0  0  0  4 0 0 | *  *  *  *  *  *  * *  *  *  * 16 * | 0 0 0  1 0 1
... ..x3..o3..o *c3..o      0  0 8 |  0  0 0 0  0  0 24 |  0  0  0  0  0  0  0  0  0 32 | 0 0  0  0  0  0  0  0  0  0  0  0  0  0 8 8 | *  *  *  *  *  *  * *  *  *  *  * 1 | 0 0 0  0 0 2
---------------------------+--------+--------------------+-------------------------------+---------------------------------------------+-------------------------------------+-------------
ox. xo.3oo.3oo.    ...&#x   4  2 0 |  6  8 0 1  0  0  0 |  4  4 12  0  0  0  0  0  0  0 | 1 0  6  8  0  0  0  0  0  0  0  0  0  0 0 0 | 0  4  2  0  0  0  0 0  0  0  0  0 0 | 8 * *  * * *
... xo.3oo.3oo. *c3ox.&#x   8  8 0 | 24 32 0 0 24  0  0 | 32  0 48 48  0 32  0  0  0  0 | 8 8  0 32 24 32  0  0  8  8  0  0  0  0 0 0 | 1  0  8  8  8  0  0 1  0  0  0  0 0 | * 2 *  * * *
oxo xox3ooo ... *c3oxo&#xt  4  8 4 |  6 24 4 4 12 24  6 |  4 12 24 24 24  8 12 24 24  4 | 0 1 12  8 12  8 12 24  2  0 12  8 12  8 0 1 | 0  4  0  2  0  6  8 0  4  0  2  0 0 | * * 8  * * *
... ... ooo3ooo *c3oxo&#x   1  4 1 |  0  4 1 0  6  4  0 |  0  0  0  6  4  4  0  0  6  0 | 0 0  0  0  0  4  0  6  0  1  0  0  0  4 0 0 | 0  0  0  0  1  0  4 0  0  0  0  1 0 | * * * 16 * *
.xo .ox3.oo3.oo    ...&#x   0  2 4 |  0  0 0 1  0  8  6 |  0  0  0  0  0  0  4 12  0  4 | 0 0  0  0  0  0  0  0  0  0  6  8  0  0 1 0 | 0  0  0  0  0  0  0 0  4  2  0  0 0 | * * *  * 8 *
... .ox3.oo3.oo *c3.xo&#x   0  8 8 |  0  0 0 0 24 32 24 |  0  0  0  0  0 32  0 48 48 32 | 0 0  0  0  0  0  0  0  8  8  0 32 24 32 8 8 | 0  0  0  0  0  0  0 1  0  8  8  8 1 | * * *  * * 2
or
o.. o..3o..3o.. *c3o..    & | 16  *   6   8 1 0  0 | 12  4  24  12  8  0 |  4  4 12  24 12   8  4 12  0  0 | 1 12  8  8  2  6  8 0 |  4 2 4  2
.o. .o.3.o.3.o. *c3.o.      |  * 16   0   8 0 1  6 |  0  8  12  24  4 12 |  0  0 12   8 12  24  4 12  4  4 | 0  8  2  8  8  6 12 1 |  2 2 4  4
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x.. ... ...    ...    & |  2  0 | 48   * * *  *   4  0   4   0  0  0 |  2  2  2   8  2   0  0  0  0  0 | 1  4  4  4  0  1  0 0 |  2 2 2  0
oo. oo.3oo.3oo. *c3oo.&#x & |  1  1 |  * 128 * *  *   0  1   3   3  1  0 |  0  0  3   3  3   3  1  3  0  0 | 0  3  1  3  1  3  3 0 |  1 1 3  1
o.o o.o3o.o3o.o *c3o.o&#x   |  2  0 |  *   * 8 *  *   0  0   0   0  8  0 |  0  0  0   0  0   0  4 12  0  0 | 0  0  0  0  0  6  8 0 |  0 0 4  2
.x. ... ... ...    ...      |  0  2 |  *   * * 8  *   0  8   0   0  0  0 |  0  0 12   0  0   0  4  0  0  0 | 0  8  0  0  0  6  0 0 |  2 0 4  0
... ... ... ...    .x.      |  0  2 |  *   * * * 48   0  0   0   4  0  4 |  0  0  0   0  2   8  0  2  2  2 | 0  0  0  4  4  1  4 1 |  0 2 2  2
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x..3o.. ...    ...    & |  3  0 |  3   0 0 0  0 | 64  *   *   *  *  * |  1  1  0   2  0   0  0  0  0  0 | 1  1  2  2  0  0  0 0 |  1 2 1  0
ox. ... ... ...    ...&#x & |  1  2 |  0   2 0 1  0 |  * 64   *   *  *  * |  0  0  3   0  0   0  1  0  0  0 | 0  3  0  0  0  3  0 0 |  1 0 3  0
... xo. ... ...    ...&#x & |  2  1 |  1   2 0 0  0 |  *  * 192   *  *  * |  0  0  1   2  1   0  0  0  0  0 | 0  2  1  2  0  1  0 0 |  1 1 2  0
... ... ... ...    ox.&#x & |  1  2 |  0   2 0 0  1 |  *  *   * 192  *  * |  0  0  0   0  1   2  0  1  0  0 | 0  0  0  2  1  1  2 0 |  0 1 2  1
ooo ooo3ooo3ooo *c3ooo&#x   |  2  1 |  0   2 1 0  0 |  *  *   *   * 64  * |  0  0  0   0  0   0  1  3  0  0 | 0  0  0  0  0  3  3 0 |  0 0 3  1
... ... .o. ... *c3.x.      |  0  3 |  0   0 0 0  3 |  *  *   *   *  * 64 |  0  0  0   0  0   2  0  0  1  1 | 0  0  0  2  2  0  1 1 |  0 2 1  1
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x..3o..3o..    ...    &   4  0 |  6   0 0 0  0 |  4  0   0   0  0  0 | 16  *  *   *  *   *  *  *  *  * | 1  0  2  0  0  0  0 0 |  1 2 0  0
... x..3o.. ... *c3o..    &   4  0 |  6   0 0 0  0 |  4  0   0   0  0  0 |  * 16  *   *  *   *  *  *  *  * | 1  0  0  2  0  0  0 0 |  0 2 1  0
ox. xo. ... ...    ...&#x &   2  2 |  1   4 0 1  0 |  0  2   2   0  0  0 |  *  * 96   *  *   *  *  *  *  * | 0  2  0  0  0  1  0 0 |  1 0 2  0
... xo.3oo. ...    ...&#x &   3  1 |  3   3 0 0  0 |  1  0   3   0  0  0 |  *  *  * 128  *   *  *  *  *  * | 0  1  1  1  0  0  0 0 |  1 1 1  0
... xo. ... ...    ox.&#x &   2  2 |  1   4 0 0  1 |  0  0   2   2  0  0 |  *  *  *   * 96   *  *  *  *  * | 0  0  0  2  0  1  0 0 |  0 1 2  0
... ... oo. ... *c3ox.&#x &   1  3 |  0   3 0 0  3 |  0  0   0   3  0  1 |  *  *  *   *  * 128  *  *  *  * | 0  0  0  1  1  0  1 0 |  0 1 1  1
oxo ... ... ...    ...&#x     2  2 |  0   4 1 1  0 |  0  2   0   0  2  0 |  *  *  *   *  *   * 32  *  *  * | 0  0  0  0  0  3  0 0 |  0 0 3  0
... ... ... ...    oxo&#x     2  2 |  0   4 1 0  1 |  0  0   0   2  2  0 |  *  *  *   *  *   *  * 96  *  * | 0  0  0  0  0  1  2 0 |  0 0 2  1
... .o.3.o. ... *c3.x.        0  4 |  0   0 0 0  6 |  0  0   0   0  0  4 |  *  *  *   *  *   *  *  * 16  * | 0  0  0  2  0  0  0 1 |  0 2 1  0
... ... .o.3.o. *c3.x.        0  4 |  0   0 0 0  6 |  0  0   0   0  0  4 |  *  *  *   *  *   *  *  *  * 16 | 0  0  0  0  2  0  0 1 |  0 2 0  1
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
... x..3o..3o.. *c3o..    &   8  0 | 24   0 0 0  0 | 32  0   0   0  0  0 |  8  8  0   0  0   0  0  0  0  0 | 2  *  *  *  *  *  * * |  0 2 0  0
ox. xo.3oo. ...    ...&#x &   3  2 |  3   6 0 1  0 |  1  3   6   0  0  0 |  0  0  3   2  0   0  0  0  0  0 | * 64  *  *  *  *  * * |  1 0 1  0
... xo.3oo.3oo.    ...&#x &   4  1 |  6   4 0 0  0 |  4  0   6   0  0  0 |  1  0  0   4  0   0  0  0  0  0 | *  * 32  *  *  *  * * |  1 1 0  0
... xo.3oo. ... *c3ox.&#x &   4  4 |  6  12 0 0  6 |  4  0  12  12  0  4 |  0  1  0   4  6   4  0  0  1  0 | *  *  * 32  *  *  * * |  0 1 1  0
... ... oo.3oo. *c3ox.&#x &   1  4 |  0   4 0 0  6 |  0  0   0   6  0  4 |  0  0  0   0  0   4  0  0  0  1 | *  *  *  * 32  *  * * |  0 1 0  1
oxo xox ... ...    oxo&#xt    4  4 |  2  16 2 2  2 |  0  8   8   8  8  0 |  0  0  4   0  4   0  4  4  0  0 | *  *  *  *  * 24  * * |  0 0 2  0
... ... ooo ... *c3oxo&#x     2  3 |  0   6 1 0  3 |  0  0   0   6  3  1 |  0  0  0   0  0   2  0  3  0  0 | *  *  *  *  *  * 64 * |  0 0 1  1
... .o.3.o.3.o. *c3.x.        0  8 |  0   0 0 0 24 |  0  0   0   0  0 32 |  0  0  0   0  0   0  0  0  8  8 | *  *  *  *  *  *  * 2 |  0 2 0  0
----------------------------+-------+---------------+---------------------+---------------------------------+-----------------------+----------
ox. xo.3oo.3oo.    ...&#x &   4  2 |  6   8 0 1  0 |  4  4  12   0  0  0 |  1  0  6   8  0   0  0  0  0  0 | 0  4  2  0  0  0  0 0 | 16 * *  *
... xo.3oo.3oo. *c3ox.&#x &   8  8 | 24  32 0 0 24 | 32  0  48  48  0 32 |  8  8  0  32 24  32  0  0  8  8 | 1  0  8  8  8  0  0 1 |  * 4 *  *
oxo xox3ooo ... *c3oxo&#xt    8  8 | 12  48 4 4 12 |  8 24  48  48 24  8 |  0  2 24  16 24  16 12 24  2  0 | 0  8  0  4  0  6  8 0 |  * * 8  *
... ... ooo3ooo *c3oxo&#x     2  4 |  0   8 1 0  6 |  0  0   0  12  4  4 |  0  0  0   0  0   8  0  6  0  1 | 0  0  0  0  2  0  4 0 |  * * * 16

oxoo3ooxo xoxo3oooo3oxox&#xt   → all heights = 1/sqrt(6) = 0.408248
(tet || pseudo tet-dual tratet || pseudo {3}-dual tratet || dual tet)

o...3o... o...3o...3o...     & | 8  *   3  9  3  0  0  0 | 3  9 18  9  18  3 0  0  0   0 | 1  3 18  9  9  3  9  9  18 1 0  0  0  0 |  6  9 3  9  9  6  3  0 0 | 3 3  3 3
.o..3.o.. .o..3.o..3.o..     & | * 24   0  3  1  2  3  6 | 0  6  3  6  12  2 1  3  9  18 | 0  3  6  1  3  3  9  9  18 1 1 12  8  6 |  3  2 1  9 12  8  3  5 2 | 1 3  5 3
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
.... .... x... .... ....     & | 2  0 | 12  *  *  *  *  *  2  0  6  0   0  0 0  0  0   0 | 1  0  6  6  3  0  0  0   0 0 0  0  0  0 |  2  6 3  3  0  0  0  0 0 | 2 3  0 1
oo..3oo.. oo..3oo..3oo..&#x  & | 1  1 |  * 72  *  *  *  *  0  2  2  2   2  0 0  0  0   0 | 0  1  4  1  2  1  2  1   4 0 0  0  0  0 |  2  2 1  4  2  2  1  0 0 | 1 2  1 2
o.o.3o.o. o.o.3o.o.3o.o.&#x  & | 1  1 |  *  * 24  *  *  *  0  0  0  0   6  2 0  0  0   0 | 0  0  0  0  0  0  3  6   6 1 0  0  0  0 |  0  0 0  3  6  2  3  0 0 | 0 1  2 3
.x.. .... .... .... ....     & | 0  2 |  *  *  * 24  *  *  0  3  0  0   0  1 1  0  3   0 | 0  3  3  0  0  0  3  3   0 1 0  3  0  0 |  3  1 0  3  3  0  3  1 0 | 1 1  1 3
.... .... .... .... .x..     & | 0  2 |  *  *  *  * 36  *  0  0  0  2   0  0 0  2  0   4 | 0  0  0  0  1  2  0  0   4 0 1  2  4  2 |  0  0 1  3  2  4  0  2 2 | 0 3  2 1
.oo.3.oo. .oo.3.oo.3.oo.&#x    | 0  2 |  *  *  *  *  * 72  0  0  0  0   2  0 0  0  2   4 | 0  0  0  0  0  0  2  2   4 0 0  4  2  2 |  0  0 0  4  4  2  1  2 1 | 0 2  2 2
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
.... .... x...3o... ....     & | 3  0 |  3  0  0  0  0  0 | 8  *  *  *   *  * *  *  *   * | 1  0  0  3  0  0  0  0   0 0 0  0  0  0 |  0  3 3  0  0  0  0  0 0 | 1 3  0 0
ox.. .... .... .... ....&#x  & | 1  2 |  0  2  0  1  0  0 | * 72  *  *   *  * *  *  *   * | 0  1  2  0  0  0  1  0   0 0 0  0  0  0 |  2  1 0  2  0  0  1  0 0 | 1 1  0 2
.... .... xo.. .... ....&#x  & | 2  1 |  1  2  0  0  0  0 | *  * 72  *   *  * *  *  *   * | 0  0  2  1  1  0  0  0   0 0 0  0  0  0 |  1  2 1  2  0  0  0  0 0 | 1 2  0 1
.... .... .... .... ox..&#x  & | 1  2 |  0  2  0  0  1  0 | *  *  * 72   *  * *  *  *   * | 0  0  0  0  1  1  0  0   2 0 0  0  0  0 |  0  0 1  2  1  2  0  0 0 | 0 2  1 1
ooo.3ooo. ooo.3ooo.3ooo.&#x  & | 1  2 |  0  1  1  0  0  1 | *  *  *  * 144  * *  *  *   * | 0  0  0  0  0  0  1  1   2 0 0  0  0  0 |  0  0 0  2  2  1  1  0 0 | 0 1  1 2
.... o.x. .... .... ....&#x  & | 1  2 |  0  0  2  1  0  0 | *  *  *  *   * 24 *  *  *   * | 0  0  0  0  0  0  0  3   0 1 0  0  0  0 |  0  0 0  0  3  0  3  0 0 | 0 0  1 3
.x..3.o.. .... .... ....     & | 0  3 |  0  0  0  3  0  0 | *  *  *  *   *  * 8  *  *   * | 0  3  0  0  0  0  0  0   0 1 0  0  0  0 |  3  0 0  0  0  0  3  0 0 | 1 0  0 3
.... .... .... .o..3.x..     & | 0  3 |  0  0  0  0  3  0 | *  *  *  *   *  * * 24  *   * | 0  0  0  0  0  1  0  0   0 0 1  0  2  0 |  0  0 1  0  0  2  0  1 0 | 0 3  1 0
.xo. .... .... .... ....&#x  & | 0  3 |  0  0  0  1  0  2 | *  *  *  *   *  * *  * 72   * | 0  0  0  0  0  0  1  1   0 0 0  2  0  0 |  0  0 0  2  2  0  1  1 0 | 0 1  1 2
.... .... .ox. .... ....&#x  & | 0  3 |  0  0  0  0  1  2 | *  *  *  *   *  * *  *  * 144 | 0  0  0  0  0  0  0  0   1 0 0  1  1  1 |  0  0 0  2  1  1  0  1 1 | 0 2  1 1
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
.... .... x...3o...3o...     &  4  0 |  6  0  0  0  0  0 | 4  0  0  0   0  0 0  0  0   0 | 2  *  *  *  *  *  *  *   * * *  *  *  * |  0  0 3  0  0  0  0  0 0 | 0 3  0 0
ox..3oo.. .... .... ....&#x  &  1  3 |  0  3  0  3  0  0 | 0  3  0  0   0  0 1  0  0   0 | * 24  *  *  *  *  *  *   * * *  *  *  * |  2  0 0  0  0  0  1  0 0 | 1 0  0 2
ox.. .... xo.. .... ....&#x  &  2  2 |  1  4  0  1  0  0 | 0  2  2  0   0  0 0  0  0   0 | *  * 72  *  *  *  *  *   * * *  *  *  * |  1  1 0  1  0  0  0  0 0 | 1 1  0 1
.... .... xo..3oo.. ....&#x  &  3  1 |  3  3  0  0  0  0 | 1  0  3  0   0  0 0  0  0   0 | *  *  * 24  *  *  *  *   * * *  *  *  * |  0  2 1  0  0  0  0  0 0 | 1 2  0 0
.... .... xo.. .... ox..&#x  &  2  2 |  1  4  0  0  1  0 | 0  0  2  2   0  0 0  0  0   0 | *  *  *  * 36  *  *  *   * * *  *  *  * |  0  0 1  2  0  0  0  0 0 | 0 2  0 1
.... .... .... oo..3ox..&#x  &  1  3 |  0  3  0  0  3  0 | 0  0  0  3   0  0 0  1  0   0 | *  *  *  *  * 24  *  *   * * *  *  *  * |  0  0 1  0  0  2  0  0 0 | 0 2  1 0
oxo. .... .... .... ....&#x  &  1  3 |  0  2  1  1  0  2 | 0  1  0  0   2  0 0  0  1   0 | *  *  *  *  *  * 72  *   * * *  *  *  * |  0  0 0  2  0  0  1  0 0 | 0 1  0 2
.... oox. .... .... ....&#x  &  1  3 |  0  1  2  1  0  2 | 0  0  0  0   2  1 0  0  1   0 | *  *  *  *  *  *  * 72   * * *  *  *  * |  0  0 0  0  2  0  1  0 0 | 0 0  1 2
.... .... .... .... oxo.&#x  &  1  3 |  0  2  1  0  1  2 | 0  0  0  1   2  0 0  0  0   1 | *  *  *  *  *  *  *  * 144 * *  *  *  * |  0  0 0  1  1  1  0  0 0 | 0 1  1 1
o.o.3o.x. .... .... ....&#x  &  1  3 |  0  0  3  3  0  0 | 0  0  0  0   0  3 1  0  0   0 | *  *  *  *  *  *  *  *   * 8 *  *  *  * |  0  0 0  0  0  0  3  0 0 | 0 0  0 3
.... .... .o..3.o..3.x..     &  0  4 |  0  0  0  0  6  0 | 0  0  0  0   0  0 0  4  0   0 | *  *  *  *  *  *  *  *   * * 6  *  *  * |  0  0 1  0  0  0  0  0 2 | 0 3  0 0
.xo. .... .ox. .... ....&#x  &  0  4 |  0  0  0  1  1  4 | 0  0  0  0   0  0 0  0  2   2 | *  *  *  *  *  *  *  *   * * * 72  *  * |  0  0 0  1  1  0  0  1 0 | 0 1  1 1
.... .... .ox.3.oo. ....&#x  &  0  4 |  0  0  0  0  3  3 | 0  0  0  0   0  0 0  1  0   3 | *  *  *  *  *  *  *  *   * * *  * 48  * |  0  0 0  0  0  1  0  1 1 | 0 2  1 0
.... .... .ox. .... .xo.&#x     0  4 |  0  0  0  0  2  4 | 0  0  0  0   0  0 0  0  0   4 | *  *  *  *  *  *  *  *   * * *  *  * 36 |  0  0 0  2  0  0  0  0 1 | 0 2  0 1
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
ox..3oo.. xo.. .... ....&#x  &  2  3 |  1  6  0  3  0  0 | 0  6  3  0   0  0 1  0  0   0 | 0  2  3  0  0  0  0  0   0 0 0  0  0  0 | 24  * *  *  *  *  *  * * | 1 0  0 1
ox.. .... xo..3oo.. ....&#x  &  3  2 |  3  6  0  1  0  0 | 1  3  6  0   0  0 0  0  0   0 | 0  0  3  2  0  0  0  0   0 0 0  0  0  0 |  * 24 *  *  *  *  *  * * | 1 1  0 0
.... .... xo..3oo..3ox..&#x  &  4  4 |  6 12  0  0  6  0 | 4  0 12 12   0  0 0  4  0   0 | 1  0  0  4  6  4  0  0   0 0 1  0  0  0 |  *  * 6  *  *  *  *  * * | 0 2  0 0
oxo. .... xox. .... oxo.&#xt &  2  6 |  1  8  2  2  3  8 | 0  4  4  4   8  0 0  0  4   8 | 0  0  2  0  2  0  4  0   4 0 0  2  0  2 |  *  * * 36  *  *  *  * * | 0 1  0 1
.... oox. .... .... oxo.&#x  &  1  4 |  0  2  2  1  1  4 | 0  0  0  1   4  1 0  0  2   2 | 0  0  0  0  0  0  0  2   2 0 0  1  0  0 |  *  * *  * 72  *  *  * * | 0 0  1 1
.... .... .... ooo.3oxo.&#x  &  1  4 |  0  3  1  0  3  3 | 0  0  0  3   3  0 0  1  0   3 | 0  0  0  0  0  1  0  0   3 0 0  0  1  0 |  *  * *  *  * 48  *  * * | 0 1  1 0
oxoo3ooxo .... .... ....&#xr    2  6 |  0  6  6  6  0  6 | 0  6  0  0  12  6 2  0  6   0 | 0  2  0  0  0  0  6  6   0 2 0  0  0  0 |  *  * *  *  *  * 12  * * | 0 0  0 2  cycle: (ABDC)
.xo. .... .ox.3.oo. ....&#x  &  0  5 |  0  0  0  1  3  6 | 0  0  0  0   0  0 0  1  3   6 | 0  0  0  0  0  0  0  0   0 0 0  3  2  0 |  *  * *  *  *  *  * 24 * | 0 1  1 0
.... .... .ox.3.oo.3.xo.&#x     0  8 |  0  0  0  0 12 12 | 0  0  0  0   0  0 0  8  0  24 | 0  0  0  0  0  0  0  0   0 0 2  0  8  6 |  *  * *  *  *  *  *  * 6 | 0 2  0 0
-------------------------------+------+-------------------+-------------------------------+-----------------------------------------+--------------------------+---------
ox..3oo.. xo..3oo.. ....&#x  &  3  3 |  3  9  0  3  0  0 | 1  9  9  0   0  0 1  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 | 8 *  * *
oxo. .... xox.3ooo.3oxo.&#xt &  4 12 |  6 24  4  4 18 24 | 4 12 24 24  24  0 0 12 12  48 | 1  0 12  8 12  8 12  0  24 0 3 12 16 12 |  0  4 2  6  0  8  0  4 2 | * 6  * *
.... oox. .... ooo.3oxo.&#xt &  1  5 |  0  3  2  1  3  6 | 0  0  0  3   6  1 0  1  3   6 | 0  0  0  0  0  1  0  3   6 0 0  3  2  0 |  0  0 0  0  3  2  0  1 0 | * * 24 *
oxoo3ooxo xoxo .... oxox&#xt    4 12 |  2 24 12 12  6 24 | 0 24 12 12  48 12 4  0 24  24 | 0  8 12  0  6  0 24 24  24 4 0 12  0  6 |  4  0 0  6 12  0  4  0 0 | * *  * 6

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