Acronym brag (old: dric)
Name birectified hexacontitetrapeton,
Voronoi cell of lattice D6*,
equatorial cross-section of rag-first barz
Circumradius sqrt(3/2) = 1.224745
Inradius
wrt. dot
sqrt(3)/2 = 0.866025
Inradius
wrt. rat
1/sqrt(2) = 0.707107
Lace city
in approx. ASCII-art
 ©  
h   i   h		- o3x3o3o4o (rat)
         
i   r   i		- o3o3x3o4o (nit)
         
h   i   h		- o3x3o3o4o (rat)


where:
h - x3o3o4o (hex)
i - o3x3o4o (ico)
r - o3o3x4o (rit)
  R   ß   r  		- o3x3o3o4o (rat)
             
r   s   S   R		- o3o3x3o4o (nit)
             
  R   ß   r  		- o3x3o3o4o (rat)

     \   \   \   +-- o3o3x3o3o (dot)
      \   \   +----- x3o3o3x3o (spix)
       \   +-------- o3x3o3o3x (inv spix)
        +----------- o3o3x3o3o (dot)

where:
r - o3x3o3o (rap)
R - o3o3x3o (inv rap)
s - x3o3x3o (srip)
S - o3x3o3x (inv srip)
ß - x3o3o3x (spid)
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0)   & all permutations, all changes of sign
Volume 4
Surface (54 sqrt(2)+44 sqrt(3))/5 = 30.515554
Dihedral angles
(at margins)
  • at rap between dot and dot:   arccos(-2/3) = 131.810315°
  • at rap between dot and rat:   arccos[-1/sqrt(6)] = 114.094843°
  • at hex between rat and rat:   90°
Face vector 160, 1440, 2880, 2160, 636, 76
Confer
related segmentopeta:
dottaspix   ratanit   spixa  
related scaliform:
hidbrag  
ambification:
siborg  
general polytopal classes:
Wythoffian polypeta   lace simplices  
analogs:
birectified orthoplex brOn  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

o3o3x3o3o4o

. . . . . . | 160    18 |  18   36 |   6  36  24 |  12  24  3 |  8  3
------------+-----+------+----------+-------------+------------+------
. . x . . . |   2 | 1440 |   2    4 |   1   8   4 |   4   8  1 |  4  2
------------+-----+------+----------+-------------+------------+------
. o3x . . . |   3 |    3 | 960    * |   1   4   0 |   4   4  0 |  4  1
. . x3o . . |   3 |    3 |   * 1920 |   0   2   2 |   1   4  1 |  2  2
------------+-----+------+----------+-------------+------------+------
o3o3x . . .    4 |    6 |   4    0 | 240   *   * |   4   0  0 |  4  0
. o3x3o . .    6 |   12 |   4    4 |   * 960   * |   1   2  0 |  2  1
. . x3o3o .    4 |    6 |   0    4 |   *   * 960 |   0   2  1 |  1  2
------------+-----+------+----------+-------------+------------+------
o3o3x3o . .   10 |   30 |  20   10 |   5   5   0 | 192   *  * |  2  0
. o3x3o3o .   10 |   30 |  10   20 |   0   5   5 |   * 384  * |  1  1
. . x3o3o4o    8 |   24 |   0   32 |   0   0  16 |   *   * 60 |  0  2
------------+-----+------+----------+-------------+------------+------
o3o3x3o3o .   20 |   90 |  60   60 |  15  30  15 |   6   6  0 | 64  *
. o3x3o3o4o   40 |  240 |  80  320 |   0  80 160 |   0  32 10 |  * 12

o3o3x3o3o4/3o

. . . . .   . | 160    18 |  18   36 |   6  36  24 |  12  24  3 |  8  3
--------------+-----+------+----------+-------------+------------+------
. . x . .   . |   2 | 1440 |   2    4 |   1   8   4 |   4   8  1 |  4  2
--------------+-----+------+----------+-------------+------------+------
. o3x . .   . |   3 |    3 | 960    * |   1   4   0 |   4   4  0 |  4  1
. . x3o .   . |   3 |    3 |   * 1920 |   0   2   2 |   1   4  1 |  2  2
--------------+-----+------+----------+-------------+------------+------
o3o3x . .   .    4 |    6 |   4    0 | 240   *   * |   4   0  0 |  4  0
. o3x3o .   .    6 |   12 |   4    4 |   * 960   * |   1   2  0 |  2  1
. . x3o3o   .    4 |    6 |   0    4 |   *   * 960 |   0   2  1 |  1  2
--------------+-----+------+----------+-------------+------------+------
o3o3x3o .   .   10 |   30 |  20   10 |   5   5   0 | 192   *  * |  2  0
. o3x3o3o   .   10 |   30 |  10   20 |   0   5   5 |   * 384  * |  1  1
. . x3o3o4/3o    8 |   24 |   0   32 |   0   0  16 |   *   * 60 |  0  2
--------------+-----+------+----------+-------------+------------+------
o3o3x3o3o   .   20 |   90 |  60   60 |  15  30  15 |   6   6  0 | 64  *
. o3x3o3o4/3o   40 |  240 |  80  320 |   0  80 160 |   0  32 10 |  * 12

o3o3o *b3x3o3o

. . .    . . . | 160    18 |   36  18 |  12  12  36   6 |  3  12  12  12 |  3  4  4
---------------+-----+------+----------+-----------------+----------------+---------
. . .    x . . |   2 | 1440 |    4   2 |   2   2   8   1 |  1   4   4   4 |  2  2  2
---------------+-----+------+----------+-----------------+----------------+---------
. o . *b3x . . |   3 |    3 | 1920   * |   1   1   2   0 |  1   2   2   1 |  2  1  1
. . .    x3o . |   3 |    3 |    * 960 |   0   0   4   1 |  0   2   2   4 |  1  2  2
---------------+-----+------+----------+-----------------+----------------+---------
o3o . *b3x . .    4 |    6 |    4   0 | 480   *   *   * |  1   2   0   0 |  2  1  0
. o3o *b3x . .    4 |    6 |    4   0 |   * 480   *   * |  1   0   2   0 |  2  0  1
. o . *b3x3o .    6 |   12 |    4   4 |   *   * 960   * |  0   1   1   1 |  1  1  1
. . .    x3o3o    4 |    6 |    0   4 |   *   *   * 240 |  0   0   0   4 |  0  2  2
---------------+-----+------+----------+-----------------+----------------+---------
o3o3o *b3x . .    8 |   24 |   32   0 |   8   8   0   0 | 60   *   *   * |  2  0  0
o3o . *b3x3o .   10 |   30 |   20  10 |   5   0   5   0 |  * 192   *   * |  1  1  0
. o3o *b3x3o .   10 |   30 |   20  10 |   0   5   5   0 |  *   * 192   * |  1  0  1
. o . *b3x3o3o   10 |   30 |   10  20 |   0   0   5   5 |  *   *   * 192 |  0  1  1
---------------+-----+------+----------+-----------------+----------------+---------
o3o3o *b3x3o .   40 |  240 |  320  80 |  80  80  80   0 | 10  16  16   0 | 12  *  *
o3o . *b3x3o3o   20 |   90 |   60  60 |  15   0  30  15 |  0   6   0   6 |  * 32  *
. o3o *b3x3o3o   20 |   90 |   60  60 |   0  15  30  15 |  0   0   6   6 |  *  * 32

ooo3xox3oxo3ooo4ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(rat || pseudo nit || rat)

o..3o..3o..3o..4o..     & | 80  *   12   6   0 |   6  24  12  12   0   0 |  12  16   6  24   8  0   0 |  8  2  12  16  1  0 | 1  8  2
.o.3.o.3.o.3.o.4.o.       |  * 80    0   6  12 |   0   0   6  24  12  12 |   0   0   2  24  24  4  12 |  0  0   8  24  3  4 | 0  8  3
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
... x.. ... ... ...     & |  2  0 | 480   *   * |   1   4   1   0   0   0 |   4   4   1   4   0  0   0 |  4  1   4   4  0  0 | 1  4  1
oo.3oo.3oo.3oo.4oo.&#x  & |  1  1 |   * 480   * |   0   0   2   4   0   0 |   0   0   1   8   4  0   0 |  0  0   4   8  1  0 | 0  4  2
... ... .x. ... ...       |  0  2 |   *   * 480 |   0   0   0   2   2   2 |   0   0   0   4   4  1   4 |  0  0   2   8  1  2 | 0  4  2
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x.. ... ... ...     & |  3  0 |   3   0   0 | 160   *   *   *   *   * |   4   0   1   0   0  0   0 |  4  0   4   0  0  0 | 1  4  0
... x..3o.. ... ...     & |  3  0 |   3   0   0 |   * 640   *   *   *   * |   1   2   0   1   0  0   0 |  2  1   1   2  0  0 | 1  2  1
... xo. ... ... ...&#x  & |  2  1 |   1   2   0 |   *   * 480   *   *   * |   0   0   1   4   0  0   0 |  0  0   4   4  0  0 | 0  4  1
... ... ox. ... ...&#x  & |  1  2 |   0   2   1 |   *   *   * 960   *   * |   0   0   0   2   2  0   0 |  0  0   1   4  1  0 | 0  2  2
... .o.3.x. ... ...       |  0  3 |   0   0   3 |   *   *   *   * 320   * |   0   0   0   2   0  1   2 |  0  0   2   4  0  2 | 0  4  1
... ... .x.3.o. ...       |  0  3 |   0   0   3 |   *   *   *   *   * 320 |   0   0   0   0   2  0   2 |  0  0   0   4  1  1 | 0  2  2
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x..3o.. ... ...     &   6  0 |  12   0   0 |   4   4   0   0   0   0 | 160   *   *   *   *  *   * |  2  0   1   0  0  0 | 1  2  0
... x..3o..3o.. ...     &   4  0 |   6   0   0 |   0   4   0   0   0   0 |   * 320   *   *   *  *   * |  1  1   0   1  0  0 | 1  1  1
oo.3xo. ... ... ...&#x  &   3  1 |   3   3   0 |   1   0   3   0   0   0 |   *   * 160   *   *  *   * |  0  0   4   0  0  0 | 0  4  0
... xo.3ox. ... ...&#x  &   3  3 |   3   6   3 |   0   1   3   3   1   0 |   *   *   * 640   *  *   * |  0  0   1   2  0  0 | 0  2  1
... ... ox.3oo. ...&#x  &   1  3 |   0   3   3 |   0   0   0   3   0   1 |   *   *   *   * 640  *   * |  0  0   0   2  1  0 | 0  1  2
.o.3.o.3.x. ... ...         0  4 |   0   0   6 |   0   0   0   0   4   0 |   *   *   *   *   * 80   * |  0  0   2   0  0  2 | 0  4  0
... .o.3.x.3.o. ...         0  6 |   0   0  12 |   0   0   0   0   4   4 |   *   *   *   *   *  * 160 |  0  0   0   2  0  1 | 0  2  1
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x..3o..3o.. ...     &  10  0 |  30   0   0 |  10  20   0   0   0   0 |   5   5   0   0   0  0   0 | 64  *   *   *  *  * | 1  1  0
... x..3o..3o..4o..     &   8  0 |  24   0   0 |   0  32   0   0   0   0 |   0  16   0   0   0  0   0 |  * 20   *   *  *  * | 1  0  1
oo.3xo.3ox. ... ...&#x  &   6  4 |  12  12   6 |   4   4  12   6   4   0 |   1   0   4   4   0  1   0 |  *  * 160   *  *  * | 0  2  0
... xo.3ox.3oo. ...&#x  &   4  6 |   6  12  12 |   0   4   6  12   4   4 |   0   1   0   4   4  0   1 |  *  *   * 320  *  * | 0  1  1
... ... oxo3ooo4ooo&#xt     2  6 |   0  12  12 |   0   0   0  24   0   8 |   0   0   0   0  16  0   0 |  *  *   *   * 40  * | 0  0  2
.o.3.o.3.x.3.o. ...         0 10 |   0   0  30 |   0   0   0   0  20  10 |   0   0   0   0   0  5   5 |  *  *   *   *  * 32 | 0  2  0
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x..3o..3o..4o..     &  40  0 | 240   0   0 |  80 320   0   0   0   0 |  80 160   0   0   0  0   0 | 32 10   0   0  0  0 | 2  *  *
oo.3xo.3ox.3oo. ...&#x  &  10 10 |  30  30  30 |  10  20  30  30  20  10 |   5   5  10  20  10  5   5 |  1  0   5   5  0  1 | * 64  *
... xox3oxo3ooo4ooo&#xt    16 24 |  48  96  96 |   0  64  48 192  32  64 |   0  32   0  64 128  0  16 |  0  2   0  32  8  0 | *  * 10

ooo3oxo3ooo *b3xox3ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(rat || pseudo nit || rat)

o..3o..3o.. *b3o..3o..     & | 80  *   12   6   0 |  24   6  12  12   0   0   0 |   8   8  12   4   4  24   6  0  0  0 |  2  4  4  1   8   8  12  0  0 | 1  2  4  4
.o.3.o.3.o. *b3.o.3.o.       |  * 80    0   6  12 |   0   0  24   6   6   6  12 |   0   0   0  12  12  24   2  6  6  4 |  0  0  0  3  12  12   8  2  2 | 0  3  4  4
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
... ... ...    x.. ...     & |  2  0 | 480   *   * |   4   1   0   1   0   0   0 |   2   2   4   0   0   4   1  0  0  0 |  1  2  2  0   2   2   4  0  0 | 1  1  2  2
oo.3oo.3oo. *b3oo.3oo.&#x  & |  1  1 |   * 480   * |   0   0   4   2   0   0   0 |   0   0   0   2   2   8   1  0  0  0 |  0  0  0  1   4   4   4  0  0 | 0  2  2  2
... .x. ...    ... ...       |  0  2 |   *   * 480 |   0   0   2   0   1   1   2 |   0   0   0   2   2   4   0  2  2  1 |  0  0  0  1   4   4   2  1  1 | 0  2  2  2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
... o.. ... *b3x.. ...     & |  3  0 |   3   0   0 | 640   *   *   *   *   *   * |   1   1   1   0   0   1   0  0  0  0 |  1  1  1  0   1   1   1  0  0 | 1  1  1  1
... ... ...    x..3o..     & |  3  0 |   3   0   0 |   * 160   *   *   *   *   * |   0   0   4   0   0   0   1  0  0  0 |  0  2  2  0   0   0   4  0  0 | 1  0  2  2
... ox. ...    ... ...&#x  & |  1  2 |   0   2   1 |   *   * 960   *   *   *   * |   0   0   0   1   1   2   0  0  0  0 |  0  0  0  1   2   2   1  0  0 | 0  2  1  1
... ... ...    xo. ...&#x  & |  2  1 |   1   2   0 |   *   *   * 480   *   *   * |   0   0   0   0   0   4   1  0  0  0 |  0  0  0  0   2   2   4  0  0 | 0  1  2  2
.o.3.x. ...    ... ...       |  0  3 |   0   0   3 |   *   *   *   * 160   *   * |   0   0   0   2   0   0   0  2  0  0 |  0  0  0  1   4   0   0  1  0 | 0  2  2  0
... .x.3.o.    ... ...       |  0  3 |   0   0   3 |   *   *   *   *   * 160   * |   0   0   0   0   2   0   0  0  2  0 |  0  0  0  1   0   4   0  0  1 | 0  2  0  2
... .x. ... *b3.o. ...       |  0  3 |   0   0   3 |   *   *   *   *   *   * 320 |   0   0   0   0   0   2   0  1  1  1 |  0  0  0  0   2   2   2  1  1 | 0  1  2  2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
o..3o.. ... *b3x.. ...     &   4  0 |   6   0   0 |   4   0   0   0   0   0   0 | 160   *   *   *   *   *   *  *  *  * |  1  1  0  0   1   0   0  0  0 | 1  1  1  0
... o..3o.. *b3x.. ...     &   4  0 |   6   0   0 |   4   0   0   0   0   0   0 |   * 160   *   *   *   *   *  *  *  * |  1  0  1  0   0   1   0  0  0 | 1  1  0  1
... o.. ... *b3x..3o..     &   6  0 |  12   0   0 |   4   4   0   0   0   0   0 |   *   * 160   *   *   *   *  *  *  * |  0  1  1  0   0   0   1  0  0 | 1  0  1  1
oo.3ox. ...    ... ...&#x  &   1  3 |   0   3   3 |   0   0   3   0   1   0   0 |   *   *   * 320   *   *   *  *  *  * |  0  0  0  1   2   0   0  0  0 | 0  2  1  0
... ox.3oo     ... ...&#x  &   1  3 |   0   3   3 |   0   0   3   0   0   1   0 |   *   *   *   * 320   *   *  *  *  * |  0  0  0  1   0   2   0  0  0 | 0  2  0  1
... ox. ... *b3xo. ...&#x  &   3  3 |   3   6   3 |   1   0   3   3   0   0   1 |   *   *   *   *   * 640   *  *  *  * |  0  0  0  0   1   1   1  0  0 | 0  1  1  1
... ... ...    xo.3oo.&#x  &   3  1 |   3   3   0 |   0   1   0   3   0   0   0 |   *   *   *   *   *   * 160  *  *  * |  0  0  0  0   0   0   4  0  0 | 0  0  2  2
.o.3.x. ... *b3.o. ...         0  6 |   0   0  12 |   0   0   0   0   4   0   4 |   *   *   *   *   *   *   * 80  *  * |  0  0  0  0   2   0   0  1  0 | 0  1  2  0
... .x.3.o. *b3.o. ...         0  6 |   0   0  12 |   0   0   0   0   0   4   4 |   *   *   *   *   *   *   *  * 80  * |  0  0  0  0   0   2   0  0  1 | 0  1  0  2
... .x. ... *b3.o.3.o.         0  4 |   0   0   6 |   0   0   0   0   0   0   4 |   *   *   *   *   *   *   *  *  * 80 |  0  0  0  0   0   0   2  1  1 | 0  0  2  2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
o..3o..3o.. *b3x.. ...     &   8  0 |  24   0   0 |  32   0   0   0   0   0   0 |   8   8   0   0   0   0   0  0  0  0 | 20  *  *  *   *   *   *  *  * | 1  1  0  0
o..3o.. ... *b3x..3o..     &  10  0 |  30   0   0 |  20  10   0   0   0   0   0 |   5   0   5   0   0   0   0  0  0  0 |  * 32  *  *   *   *   *  *  * | 1  0  1  0
... o..3o.. *b3x..3o..     &  10  0 |  30   0   0 |  20  10   0   0   0   0   0 |   0   5   5   0   0   0   0  0  0  0 |  *  * 32  *   *   *   *  *  * | 1  0  0  1
ooo3oxo3ooo    ... ...&#xt     2  6 |   0  12  12 |   0   0  24   0   4   4   0 |   0   0   0   8   8   0   0  0  0  0 |  *  *  * 40   *   *   *  *  * | 0  2  0  0
oo.3ox. ... *b3xo. ...&#x  &   4  6 |   6  12  12 |   4   0  12   6   4   0   4 |   1   0   0   4   0   4   0  1  0  0 |  *  *  *  * 160   *   *  *  * | 0  1  1  0
... ox.3oo. *b3xo. ...&#x  &   4  6 |   6  12  12 |   4   0  12   6   0   4   4 |   0   1   0   0   4   4   0  0  1  0 |  *  *  *  *   * 160   *  *  * | 0  1  0  1
... ox. ... *b3xo.3oo.&#x  &   6  4 |  12  12   6 |   4   4   6  12   0   0   4 |   0   0   1   0   0   4   4  0  0  1 |  *  *  *  *   *   * 160  *  * | 0  0  1  1
.o.3.x. ... *b3.o.3.o.         0 10 |   0   0  30 |   0   0   0   0  10   0  20 |   0   0   0   0   0   0   0  5  0  5 |  *  *  *  *   *   *   * 16  * | 0  0  2  0
... .x.3.o. *b3.o.3.o.         0 10 |   0   0  30 |   0   0   0   0   0  10  20 |   0   0   0   0   0   0   0  0  5  5 |  *  *  *  *   *   *   *  * 16 | 0  0  0  2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
o..3o..3o.. *b3x..3o..     &  40  0 | 240   0   0 | 320  80   0   0   0   0   0 |  80  80  80   0   0   0   0  0  0  0 | 10 16 16  0   0   0   0  0  0 | 2  *  *  *
ooo3oxo3ooo *b3xox ...&#xt    16 24 |  48  96  96 |  64   0 192  48  32  32  32 |  16  16   0  64  64  64   0  8  8  0 |  2  0  0  8  16  16   0  0  0 | * 10  *  *
oo.3ox. ... *b3xo.3oo.&#x  &  10 10 |  30  30  30 |  20  10  30  30  10   0  20 |   5   0   5  10   0  20  10  5  0  5 |  0  1  0  0   5   0   5  1  0 | *  * 32  *
... ox.3oo. *b3xo.3oo.&#x  &  10 10 |  30  30  30 |  20  10  30  30   0  10  20 |   0   5   5   0  10  20  10  0  5  5 |  0  0  1  0   0   5   5  0  1 | *  *  * 32

oxoo3ooxo3xoox3oxoo3ooxo&#xt   → all heights = 1/sqrt(3) = 0.577350
(dot || pseudo spix || inv pseudo spix || dot)

o...3o...3o...3o...3o...     & | 40   *    9   9   0   0   0 |   9   9   9  18   9   0   0   0   0   0 |  3  9  3   3   9   9  18   3   9  0  0  0   0  0   0   0 |  3  3  3  9  6   3   9   3  0  6  3 | 1  3  3  3  1
.o..3.o..3.o..3.o..3.o..     & |  * 120    0   3   3   6   6 |   0   0   6   3   6   3   6   3   9  18 |  0  0  0   3   3   1   6   3  15  1  2  3  12  3   8   6 |  0  0  1  2  3   9   7   9  1  3  1 | 0  1  3  4  3
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
.... .... x... .... ....     & |  2   0 | 180   *   *   *   * |   2   2   0   2   0   0   0   0   0   0 |  1  4  1   0   1   2   4   0   0  0  0  0   0  0   0   0 |  2  2  1  4  2   0   2   0  0  0  0 | 1  2  2  1  0
oo..3oo..3oo..3oo..3oo..&#x  & |  1   1 |   * 360   *   *   * |   0   0   2   2   2   0   0   0   0   0 |  0  0  0   1   2   1   4   1   4  0  0  0   0  0   0   0 |  0  0  1  2  2   2   4   2  0  0  0 | 0  1  2  2  1
.x.. .... .... .... ....     & |  0   2 |   *   * 180   *   * |   0   0   2   0   0   2   0   0   2   0 |  0  0  0   2   1   0   0   0   4  1  0  0   4  1   0   0 |  0  0  1  0  0   4   2   4  0  2  0 | 0  0  2  2  2
.... .... .... .x.. ....     & |  0   2 |   *   *   * 360   * |   0   0   0   0   1   0   2   1   0   2 |  0  0  0   0   0   0   2   1   2  0  1  2   2  0   2   1 |  0  0  0  1  2   2   2   2  1  2  1 | 0  1  2  2  1
.oo.3.oo.3.oo.3.oo.3.oo.&#x    |  0   2 |   *   *   *   * 360 |   0   0   0   0   0   0   0   0   2   4 |  0  0  0   0   0   0   0   0   4  0  0  0   4  1   2   2 |  0  0  0  0  0   4   2   4  0  2  1 | 0  0  2  2  2
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
.... o...3x... .... ....     & |  3   0 |   3   0   0   0   0 | 120   *   *   *   *   *   *   *   *   * |  1  2  0   0   0   1   0   0   0  0  0  0   0  0   0   0 |  2  1  1  2  0   0   0   0  0  0  0 | 1  1  2  0  0
.... .... x...3o... ....     & |  3   0 |   3   0   0   0   0 |   * 120   *   *   *   *   *   *   *   * |  0  2  1   0   0   0   2   0   0  0  0  0   0  0   0   0 |  1  2  0  2  2   0   1   0  0  0  0 | 1  2  1  1  0
ox.. .... .... .... ....&#x  & |  1   2 |   0   2   1   0   0 |   *   * 360   *   *   *   *   *   *   * |  0  0  0   1   1   0   0   0   2  0  0  0   0  0   0   0 |  0  0  1  0  0   2   2   1  0  0  0 | 0  0  2  1  1
.... .... xo.. .... ....&#x  & |  2   1 |   1   2   0   0   0 |   *   *   * 360   *   *   *   *   *   * |  0  0  0   0   1   1   2   0   0  0  0  0   0  0   0   0 |  0  0  1  2  1   0   2   0  0  0  0 | 0  1  2  1  0
.... .... .... ox.. ....&#x  & |  1   2 |   0   2   0   1   0 |   *   *   *   * 360   *   *   *   *   * |  0  0  0   0   0   0   2   1   2  0  0  0   0  0   0   0 |  0  0  0  1  2   1   2   2  0  0  0 | 0  1  1  2  1
.x..3.o.. .... .... ....     & |  0   3 |   0   0   3   0   0 |   *   *   *   *   * 120   *   *   *   * |  0  0  0   1   0   0   0   0   0  1  0  0   2  0   0   0 |  0  0  1  0  0   2   0   1  0  2  0 | 0  0  2  1  1
.... .... .o..3.x.. ....     & |  0   3 |   0   0   0   3   0 |   *   *   *   *   *   * 240   *   *   * |  0  0  0   0   0   0   1   0   0  0  1  1   0  0   1   0 |  0  0  0  1  1   0   1   0  1  1  1 | 0  1  2  1  0
.... .... .... .x..3.o..     & |  0   3 |   0   0   0   3   0 |   *   *   *   *   *   *   * 120   *   * |  0  0  0   0   0   0   0   1   0  0  0  2   2  0   0   0 |  0  0  0  0  2   1   0   2  1  2  0 | 0  1  1  2  1
.xo. .... .... .... ....&#x  & |  0   3 |   0   0   1   0   2 |   *   *   *   *   *   *   *   * 360   * |  0  0  0   0   0   0   0   0   2  0  0  0   2  1   0   0 |  0  0  0  0  0   2   1   4  0  1  0 | 0  0  1  2  2
.... .ox. .... .... ....&#x  & |  0   3 |   0   0   0   1   2 |   *   *   *   *   *   *   *   *   * 720 |  0  0  0   0   0   0   0   0   1  0  0  0   1  0   1   1 |  0  0  0  0  0   2   1   1  0  1  1 | 0  0  2  1  1
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
o...3o...3x... .... ....     &   4   0 |   6   0   0   0   0 |   4   0   0   0   0   0   0   0   0   0 | 30  *  *   *   *   *   *   *   *  *  *  *   *  *   *   * |  2  0  1  0  0   0   0   0  0  0  0 | 1  0  2  0  0
.... o...3x...3o... ....     &   6   0 |  12   0   0   0   0 |   4   4   0   0   0   0   0   0   0   0 |  * 60  *   *   *   *   *   *   *  *  *  *   *  *   *   * |  1  1  0  1  0   0   0   0  0  0  0 | 1  1  1  0  0
.... .... x...3o...3o...     &   4   0 |   6   0   0   0   0 |   0   4   0   0   0   0   0   0   0   0 |  *  * 30   *   *   *   *   *   *  *  *  *   *  *   *   * |  0  2  0  0  2   0   0   0  0  0  0 | 1  2  0  1  0
ox..3oo.. .... .... ....&#x  &   1   3 |   0   3   3   0   0 |   0   0   3   0   0   1   0   0   0   0 |  *  *  * 120   *   *   *   *   *  *  *  *   *  *   *   * |  0  0  1  0  0   2   0   0  0  0  0 | 0  0  2  0  1
ox.. .... xo.. .... ....&#x  &   2   2 |   1   4   1   0   0 |   0   0   2   2   0   0   0   0   0   0 |  *  *  *   * 180   *   *   *   *  *  *  *   *  *   *   * |  0  0  1  0  0   0   2   0  0  0  0 | 0  0  2  1  0
.... oo..3xo.. .... ....&#x  &   3   1 |   3   3   0   0   0 |   1   0   0   3   0   0   0   0   0   0 |  *  *  *   *   * 120   *   *   *  *  *  *   *  *   *   * |  0  0  1  2  0   0   0   0  0  0  0 | 0  1  2  0  0
.... .... xo..3ox.. ....&#x  &   3   3 |   3   6   0   3   0 |   0   1   0   3   3   0   1   0   0   0 |  *  *  *   *   *   * 240   *   *  *  *  *   *  *   *   * |  0  0  0  1  1   0   1   0  0  0  0 | 0  1  1  1  0
.... .... .... ox..3oo..&#x  &   1   3 |   0   3   0   3   0 |   0   0   0   0   3   0   0   1   0   0 |  *  *  *   *   *   *   * 120   *  *  *  *   *  *   *   * |  0  0  0  0  2   0   0   2  0  0  0 | 0  1  0  2  1
oxo. .... .... oxo. ....&#xt &   1   5 |   0   4   2   2   4 |   0   0   2   0   2   0   0   0   2   2 |  *  *  *   *   *   *   *   * 360  *  *  *   *  *   *   * |  0  0  0  0  0   1   1   1  0  0  0 | 0  0  1  1  1
.x..3.o..3.o.. .... ....     &   0   4 |   0   0   6   0   0 |   0   0   0   0   0   4   0   0   0   0 |  *  *  *   *   *   *   *   *   * 30  *  *   *  *   *   * |  0  0  1  0  0   0   0   0  0  2  0 | 0  0  2  1  0
.... .o..3.o..3.x.. ....     &   0   4 |   0   0   0   6   0 |   0   0   0   0   0   0   4   0   0   0 |  *  *  *   *   *   *   *   *   *  * 60  *   *  *   *   * |  0  0  0  1  0   0   0   0  1  0  1 | 0  1  2  0  0
.... .... .o..3.x..3.o..     &   0   6 |   0   0   0  12   0 |   0   0   0   0   0   0   4   4   0   0 |  *  *  *   *   *   *   *   *   *  *  * 60   *  *   *   * |  0  0  0  0  1   0   0   0  1  1  0 | 0  1  1  1  0
.xo.3.ox. .... .... ....&#x  &   0   6 |   0   0   3   3   6 |   0   0   0   0   0   1   0   1   3   3 |  *  *  *   *   *   *   *   *   *  *  *  * 240  *   *   * |  0  0  0  0  0   1   0   1  0  1  0 | 0  0  1  1  1
.xo. .... .... .... .ox.&#x      0   4 |   0   0   2   0   4 |   0   0   0   0   0   0   0   0   4   0 |  *  *  *   *   *   *   *   *   *  *  *  *   * 90   *   * |  0  0  0  0  0   0   0   4  0  0  0 | 0  0  0  2  2
.... .ox.3.oo. .... ....&#x  &   0   4 |   0   0   0   3   3 |   0   0   0   0   0   0   1   0   0   3 |  *  *  *   *   *   *   *   *   *  *  *  *   *  * 240   * |  0  0  0  0  0   0   1   0  0  1  1 | 0  0  2  1  0
.... .ox. .... .xo. ....&#x      0   4 |   0   0   0   2   4 |   0   0   0   0   0   0   0   0   0   4 |  *  *  *   *   *   *   *   *   *  *  *  *   *  *   * 180 |  0  0  0  0  0   2   0   0  0  0  1 | 0  0  2  0  1
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
o...3o...3x...3o... ....     &  10   0 |  30   0   0   0   0 |  20  10   0   0   0   0   0   0   0   0 |  5  5  0   0   0   0   0   0   0  0  0  0   0  0   0   0 | 12  *  *  *  *   *   *   *  *  *  * | 1  0  1  0  0
.... o...3x...3o...3o...     &  10   0 |  30   0   0   0   0 |  10  20   0   0   0   0   0   0   0   0 |  0  5  5   0   0   0   0   0   0  0  0  0   0  0   0   0 |  * 12  *  *  *   *   *   *  *  *  * | 1  1  0  0  0
ox..3oo..3xo.. .... ....&#x  &   4   4 |   6  12   6   0   0 |   4   0  12  12   0   4   0   0   0   0 |  1  0  0   4   6   4   0   0   0  1  0  0   0  0   0   0 |  *  * 30  *  *   *   *   *  *  *  * | 0  0  2  0  0
.... oo..3xo..3ox.. ....&#x  &   6   4 |  12  12   0   6   0 |   4   4   0  12   6   0   4   0   0   0 |  0  1  0   0   0   4   4   0   0  0  1  0   0  0   0   0 |  *  *  * 60  *   *   *   *  *  *  * | 0  1  1  0  0
.... .... xo..3ox..3oo..&#x  &   4   6 |   6  12   0  12   0 |   0   4   0   6  12   0   4   4   0   0 |  0  0  1   0   0   0   4   4   0  0  0  1   0  0   0   0 |  *  *  *  * 60   *   *   *  *  *  * | 0  1  0  1  0
oxo.3oox. .... oxo. ....&#xt &   1   9 |   0   6   6   6  12 |   0   0   6   0   3   2   0   1   6  12 |  0  0  0   2   0   0   0   0   3  0  0  0   2  0   0   3 |  *  *  *  *  * 120   *   *  *  *  * | 0  0  1  0  1
oxo. .... xoo.3oxo. ....&#xt &   3   7 |   3  12   3   6   6 |   0   1   6   6   6   0   2   0   3   6 |  0  0  0   0   3   0   2   0   3  0  0  0   0  0   2   0 |  *  *  *  *  *   * 120   *  *  *  * | 0  0  1  1  0
oxo. .... .... oxo.3oox.&#xt &   1   9 |   0   6   6   6  12 |   0   0   3   0   6   1   0   2  12   6 |  0  0  0   0   0   0   0   2   3  0  0  0   2  3   0   0 |  *  *  *  *  *   *   * 120  *  *  * | 0  0  0  1  1
.... .o..3.o..3.x..3.o..     &   0  10 |   0   0   0  30   0 |   0   0   0   0   0   0  20  10   0   0 |  0  0  0   0   0   0   0   0   0  0  5  5   0  0   0   0 |  *  *  *  *  *   *   *   * 12  *  * | 0  1  1  0  0
.xo.3.ox.3.oo. .... ....&#x  &   4   6 |   0   0   6  12  12 |   0   0   0   0   0   4   4   4   6  12 |  0  0  0   0   0   0   0   0   0  1  0  1   4  0   4   0 |  *  *  *  *  *   *   *   *  * 60  * | 0  0  1  1  0
.... .ox.3.oo.3.xo. ....&#x      4   4 |   0   0   0  12  12 |   0   0   0   0   0   0   8   0   0  24 |  0  0  0   0   0   0   0   0   0  0  2  0   0  0   8   6 |  *  *  *  *  *   *   *   *  *  * 30 | 0  0  2  0  0
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
o...3o...3x...3o...3o...     &  20   0 |  90   0   0   0   0 |  60  60   0   0   0   0   0   0   0   0 | 15 30 15   0   0   0   0   0   0  0  0  0   0  0   0   0 |  6  6  0  0  0   0   0   0  0  0  0 | 2  *  *  *  *
.... oo..3xo..3ox..3oo..&#x  &  10  10 |  30  30   0  30   0 |  10  20   0  30  30   0  20  10   0   0 |  0  5  5   0   0  10  20  10   0  0  5  5   0  0   0   0 |  0  1  0  5  5   0   0   0  1  0  0 | * 12  *  *  *
oxo.3oox.3xoo.3oxo. ....&#xt &  10  30 |  30  60  30  60  60 |  20  10  60  60  30  20  40  10  30 120 |  5  5  0  20  30  20  20   0  30  5 10  5  20  0  40  30 |  1  0  5  5  0  10  10   0  1  5  5 | *  * 12  *  *
oxo. .... xoo.3oxo.3oox.&#xt &   4  16 |   6  24  12  24  24 |   0   4  12  12  24   4   8   8  24  24 |  0  0  1   0   6   0   8   8  12  1  0  2   8  6   8   0 |  0  0  0  0  2   0   4   4  0  2  0 | *  *  * 30  *
oxoo3ooxo .... oxoo3ooxo&#xt     2  18 |   0  18  18  18  36 |   0   0  18   0  18   6   0   6  36  36 |  0  0  0   6   0   0   0   6  18  0  0  0  12  9   0   9 |  0  0  0  0  0   6   0   6  0  0  0 | *  *  *  * 20

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