Acronym brox (old: drax)
Name birectified hexeract,
Gosset polytope 03,1,1
Circumradius sqrt(2) = 1.414214
Lace city
in approx. ASCII-art
 ©  
o3x3o4o   o3o3x4o   o3x3o4o		-- o3o3x3o4o (nit)
(ico)     (rit)            
                           
                           
                           
                           
o3o3x4o   o3o3o4q   o3o3x4o		-- o3o3o3x4o (rin)
          (q-tes)          
                           
                           
                           
                           
o3x3o4o   o3o3x4o   o3x3o4o		-- o3o3x3o4o (nit)
     o3x3o3o   x3o3x3o   o3x3o3x   o3o3x3o     		-- o3o3x3o4o (nit)
     (rap)     (srip)                            
                                               
                                               
                                               
                                               
                                               
x3o3o3o   x3x3o3o   o3x3x3o   o3o3x3x   o3o3o3x		-- o3o3o3x4o (rin)
(pen)     (tip)     (deca)                        
                                               
                                               
                                               
                                               
                                               
     o3x3o3o   x3o3x3o   o3x3o3x   o3o3x3o     		-- o3o3x3o4o (nit)

          \         \         \         \         \
           \         \         \         \         +-- o3x3o3o3o (rix)
            \         \         \         +----------- x3o3x3o3o (sarx)
             \         \         +-------------------- o3x3o3x3o (sibrid)
              \         +----------------------------- o3o3x3o3x (inv sarx)
               +-------------------------------------- o3o3o3x3o (dual rix)
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign
Confer
related segmentoexa:
nitarin   rixasarx   sarxasibrid  
general polytopal classes:
Coxeter-Elte-Gosset polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3o3x3o4o

. . . . . . | 240    16 |   24   16 |  16  24   4 |   4  16  6 |  4  4
------------+-----+------+-----------+-------------+------------+------
. . . x . . |   2 | 1920 |    3    2 |   3   6   1 |   1   6  3 |  2  3
------------+-----+------+-----------+-------------+------------+------
. . o3x . . |   3 |    3 | 1920    * |   2   2   0 |   1   4  1 |  2  2
. . . x3o . |   3 |    3 |    * 1280 |   0   3   1 |   0   3  3 |  1  3
------------+-----+------+-----------+-------------+------------+------
. o3o3x . .    4 |    6 |    4    0 | 960   *   * |   1   2  0 |  2  1
. . o3x3o .    6 |   12 |    4    4 |   * 960   * |   0   2  1 |  1  2
. . . x3o4o    6 |   12 |    0    8 |   *   * 160 |   0   0  3 |  0  3
------------+-----+------+-----------+-------------+------------+------
o3o3o3x . .    5 |   10 |   10    0 |   5   0   0 | 192   *  * |  2  0
. o3o3x3o .   10 |   30 |   20   10 |   5   5   0 |   * 384  * |  1  1
. . o3x3o4o   24 |   96 |   32   64 |   0  16   8 |   *   * 60 |  0  2
------------+-----+------+-----------+-------------+------------+------
o3o3o3x3o .   15 |   60 |   60   20 |  30  15   0 |   6   6  0 | 64  *
. o3o3x3o4o   80 |  480 |  320  320 |  80 160  40 |   0  32 10 |  * 12

o3o3o3x3o4/3o

. . . . .   . | 240    16 |   24   16 |  16  24   4 |   4  16  6 |  4  4
--------------+-----+------+-----------+-------------+------------+------
. . . x .   . |   2 | 1920 |    3    2 |   3   6   1 |   1   6  3 |  2  3
--------------+-----+------+-----------+-------------+------------+------
. . o3x .   . |   3 |    3 | 1920    * |   2   2   0 |   1   4  1 |  2  2
. . . x3o   . |   3 |    3 |    * 1280 |   0   3   1 |   0   3  3 |  1  3
--------------+-----+------+-----------+-------------+------------+------
. o3o3x .   .    4 |    6 |    4    0 | 960   *   * |   1   2  0 |  2  1
. . o3x3o   .    6 |   12 |    4    4 |   * 960   * |   0   2  1 |  1  2
. . . x3o4/3o    6 |   12 |    0    8 |   *   * 160 |   0   0  3 |  0  3
--------------+-----+------+-----------+-------------+------------+------
o3o3o3x .   .    5 |   10 |   10    0 |   5   0   0 | 192   *  * |  2  0
. o3o3x3o   .   10 |   30 |   20   10 |   5   5   0 |   * 384  * |  1  1
. . o3x3o4/3o   24 |   96 |   32   64 |   0  16   8 |   *   * 60 |  0  2
--------------+-----+------+-----------+-------------+------------+------
o3o3o3x3o   .   15 |   60 |   60   20 |  30  15   0 |   6   6  0 | 64  *
. o3o3x3o4/3o   80 |  480 |  320  320 |  80 160  40 |   0  32 10 |  * 12

o3x3o *b3o3o3o

. . .    . . . | 240    16 |   8   8   24 |   4  12  12  16 |  6   8   8   4 |  4  2  2
---------------+-----+------+--------------+-----------------+----------------+---------
. x .    . . . |   2 | 1920 |   1   1    3 |   1   3   3   3 |  3   3   3   1 |  3  1  1
---------------+-----+------+--------------+-----------------+----------------+---------
o3x .    . . . |   3 |    3 | 640   *    * |   1   3   0   0 |  3   3   0   0 |  3  1  0
. x3o    . . . |   3 |    3 |   * 640    * |   1   0   3   0 |  3   0   3   0 |  3  0  1
. x . *b3o . . |   3 |    3 |   *   * 1920 |   0   1   1   2 |  1   2   2   1 |  2  1  1
---------------+-----+------+--------------+-----------------+----------------+---------
o3x3o    . . .    6 |   12 |   4   4    0 | 160   *   *   * |  3   0   0   0 |  3  0  0
o3x . *b3o . .    6 |   12 |   4   0    4 |   * 480   *   * |  1   2   0   0 |  2  1  0
. x3o *b3o . .    6 |   12 |   0   4    4 |   *   * 480   * |  1   0   2   0 |  2  0  1
. x . *b3o3o .    4 |    6 |   0   0    4 |   *   *   * 960 |  0   1   1   1 |  1  1  1
---------------+-----+------+--------------+-----------------+----------------+---------
o3x3o *b3o . .   24 |   96 |  32  32   32 |   8   8   8   0 | 60   *   *   * |  2  0  0
o3x . *b3o3o .   10 |   30 |  10   0   20 |   0   5   0   5 |  * 192   *   * |  1  1  0
. x3o *b3o3o .   10 |   30 |   0  10   20 |   0   0   5   5 |  *   * 192   * |  1  0  1
. x . *b3o3o3o    5 |   10 |   0   0   10 |   0   0   0   5 |  *   *   * 192 |  0  1  1
---------------+-----+------+--------------+-----------------+----------------+---------
o3x3o *b3o3o .   80 |  480 | 160 160  320 |  40  80  80  80 | 10  16  16   0 | 12  *  *
o3x . *b3o3o3o   15 |   60 |  20   0   60 |   0  15   0  30 |  0   6   0   6 |  * 32  *
. x3o *b3o3o3o   15 |   60 |   0  20   60 |   0   0  15  30 |  0   0   6   6 |  *  * 32

ooo3ooo3xox3oxo4ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(nit || pseudo rin || nit)

o..3o..3o..3o..4o..     & | 160  *   12   4   0 |  12  12  12   4   0 |   4  12  3  12  12  1   0 |  4  3   4  12  3  0 | 1  4  3
.o.3.o.3.o.3.o.4.o.       |   * 80    0   8   8 |   0   0  12  16  12 |   0   0  0   8  24  4   8 |  0  0   2  16  6  2 | 0  4  4
--------------------------+--------+-------------+---------------------+---------------------------+---------------------+--------
... ... x.. ... ...     & |   2  0 | 960   *   * |   2   2   1   0   0 |   1   4  1   2   2  0   0 |  2  2   1   4  1  0 | 1  2  2
oo.3oo.3oo.3oo.4oo.&#x  & |   1  1 |   * 640   * |   0   0   3   2   0 |   0   0  0   3   6  1   0 |  0  0   1   6  3  0 | 0  2  3
... ... ... .x. ...       |   0  2 |   *   * 320 |   0   0   0   2   3 |   0   0  0   0   6  1   3 |  0  0   0   6  3  1 | 0  2  3
--------------------------+--------+-------------+---------------------+---------------------------+---------------------+--------
... o..3x.. ... ...     & |   3  0 |   3   0   0 | 640   *   *   *   * |   1   2  0   1   0  0   0 |  2  1   1   2  0  0 | 1  2  1
... ... x..3o.. ...     & |   3  0 |   3   0   0 |   * 640   *   *   * |   0   2  1   0   1  0   0 |  1  2   0   2  1  0 | 1  1  2
... ... xo. ... ...&#x  & |   2  1 |   1   2   0 |   *   * 960   *   * |   0   0  0   2   2  0   0 |  0  0   1   4  1  0 | 0  2  2
... ... ... ox. ...&#x  & |   1  2 |   0   2   1 |   *   *   * 640   * |   0   0  0   0   3  1   0 |  0  0   0   3  3  0 | 0  1  3
... ... .o.3.x. ...       |   0  3 |   0   0   3 |   *   *   *   * 320 |   0   0  0   0   2  0   2 |  0  0   0   4  1  1 | 0  2  2
--------------------------+--------+-------------+---------------------+---------------------------+---------------------+--------
o..3o..3x.. ... ...     &    4  0 |   6   0   0 |   4   0   0   0   0 | 160   *  *   *   *  *   * |  2  0   1   0  0  0 | 1  2  0
... o..3x..3o.. ...     &    6  0 |  12   0   0 |   4   4   0   0   0 |   * 320  *   *   *  *   * |  1  1   0   1  0  0 | 1  1  1
... ... x..3o..4o..     &    6  0 |  12   0   0 |   0   8   0   0   0 |   *   * 80   *   *  *   * |  0  2   0   0  1  0 | 1  0  2
... oo.3xo. ... ...&#x  &    3  1 |   3   3   0 |   1   0   3   0   0 |   *   *  * 640   *  *   * |  0  0   1   2  0  0 | 0  2  1
... ... xo.3ox. ...&#x  &    3  3 |   3   6   3 |   0   1   3   3   1 |   *   *  *   * 640  *   * |  0  0   0   2  1  0 | 0  1  2
... ... ... oxo4ooo&#xt      2  4 |   0   8   4 |   0   0   0   8   0 |   *   *  *   *   * 80   * |  0  0   0   0  3  0 | 0  0  3
... .o.3.o.3.x. ...          0  4 |   0   0   6 |   0   0   0   0   4 |   *   *  *   *   *  * 160 |  0  0   0   2  0  1 | 0  2  1
--------------------------+--------+-------------+---------------------+---------------------------+---------------------+--------
o..3o..3x..3o.. ...     &   10  0 |  30   0   0 |  20  10   0   0   0 |   5   5  0   0   0  0   0 | 64  *   *   *  *  * | 1  1  0
... o..3x..3o..4o..     &   24  0 |  96   0   0 |  32  64   0   0   0 |   0  16  8   0   0  0   0 |  * 20   *   *  *  * | 1  0  1
oo.3oo.3xo. ... ...&#x  &    4  1 |   6   4   0 |   4   0   6   0   0 |   1   0  0   4   0  0   0 |  *  * 160   *  *  * | 0  2  0
... oo.3xo.3ox. ...&#x  &    6  4 |  12  12   6 |   4   4  12   6   4 |   0   1  0   4   4  0   1 |  *  *   * 320  *  * | 0  1  1
... ... xox3oxo4ooo&#xt     12 12 |  24  48  24 |   0  16  24  48   8 |   0   0  2   0  16  6   0 |  *  *   *   * 40  * | 0  0  2
.o.3.o.3.o.3.x. ...          0  5 |   0   0  10 |   0   0   0   0  10 |   0   0  0   0   0  0   5 |  *  *   *   *  * 32 | 0  2  0
--------------------------+--------+-------------+---------------------+---------------------------+---------------------+--------
o..3o..3x..3o..4o..     &   80  0 | 480   0   0 | 320 320   0   0   0 |  80 160 40   0   0  0   0 | 32 10   0   0  0  0 | 2  *  *
oo.3oo.3xo.3ox. ...&#x  &   10  5 |  30  20  10 |  20  10  30  10  10 |   5   5  0  20  10  0   5 |  1  0   5   5  0  1 | * 64  *
... ooo3xox3oxo4ooo&#xt     48 32 | 192 192  96 |  64 128 192 192  64 |   0  32 16  64 128 24  16 |  0  2   0  32  8  0 | *  * 10

oxo3xox3oxo *b3ooo3ooo&#x   → both heights = 1/sqrt(2) = 0.707107
(nit || pseudo rin || nit)

o..3o..3o.. *b3o..3o..     & | 160  *   12   4   0   0 |   6   6  12   2  12   2   0   0 |  3   6   6   4   6  1   6  12  0  0 |  3  2  2  3   6   6   4  0  0 | 1  3  2  2
.o.3.o.3.o. *b3.o.3.o.       |   * 80    0   8   4   4 |   0   0   0   8  12   8   6   6 |  0   0   0   0  12  4  12   8  4  4 |  0  0  0  6   8   8   2  1  1 | 0  4  2  2
-----------------------------+--------+-----------------+---------------------------------+-------------------------------------+-------------------------------+-----------
... x.. ...    ... ...     & |   2  0 | 960   *   *   * |   1   1   2   0   1   0   0   0 |  1   2   2   1   1  0   1   2  0  0 |  2  1  1  1   2   2   1  0  0 | 1  2  1  1
oo.3oo.3oo. *b3oo.3oo.&#x  & |   1  1 |   * 640   *   * |   0   0   0   1   3   1   0   0 |  0   0   0   0   3  1   3   3  0  0 |  0  0  0  3   3   3   1  0  0 | 0  3  1  1
.x. ... ...    ... ...       |   0  2 |   *   * 160   * |   0   0   0   2   0   0   3   0 |  0   0   0   0   6  1   0   0  3  0 |  0  0  0  3   6   0   0  1  0 | 0  3  2  0
... ... .x.    ... ...       |   0  2 |   *   *   * 160 |   0   0   0   0   0   2   0   3 |  0   0   0   0   0  1   6   0  0  3 |  0  0  0  3   0   6   0  0  1 | 0  3  0  2
-----------------------------+--------+-----------------+---------------------------------+-------------------------------------+-------------------------------+-----------
o..3x.. ...    ... ...     & |   3  0 |   3   0   0   0 | 320   *   *   *   *   *   *   * |  1   2   0   0   1  0   0   0  0  0 |  2  1  0  1   2   0   0  0  0 | 1  2  1  0
... x..3o..    ... ...     & |   3  0 |   3   0   0   0 |   * 320   *   *   *   *   *   * |  1   0   2   0   0  0   1   0  0  0 |  2  0  1  1   0   2   0  0  0 | 1  2  0  1
... x.. ... *b3o.. ...     & |   3  0 |   3   0   0   0 |   *   * 640   *   *   *   *   * |  0   1   1   1   0  0   0   1  0  0 |  1  1  1  0   1   1   1  0  0 | 1  1  1  1
ox. ... ...    ... ...&#x  & |   1  2 |   0   2   1   0 |   *   *   * 320   *   *   *   * |  0   0   0   0   3  1   0   0  0  0 |  0  0  0  3   3   0   0  0  0 | 0  3  1  0
... xo. ...    ... ...&#x  & |   2  1 |   1   2   0   0 |   *   *   *   * 960   *   *   * |  0   0   0   0   1  0   1   2  0  0 |  0  0  0  1   2   2   1  0  0 | 0  2  1  1
... ... ox.    ... ...&#x  & |   1  2 |   0   2   0   1 |   *   *   *   *   * 320   *   * |  0   0   0   0   0  1   3   0  0  0 |  0  0  0  3   0   3   0  0  0 | 0  3  0  1
.x.3.o. ...    ... ...       |   0  3 |   0   0   3   0 |   *   *   *   *   *   * 160   * |  0   0   0   0   2  0   0   0  2  0 |  0  0  0  1   4   0   0  1  0 | 0  2  2  0
... .o.3.x.    ... ...       |   0  3 |   0   0   0   3 |   *   *   *   *   *   *   * 160 |  0   0   0   0   0  0   2   0  0  2 |  0  0  0  1   0   4   0  0  1 | 0  2  0  2
-----------------------------+--------+-----------------+---------------------------------+-------------------------------------+-------------------------------+-----------
o..3x..3o..    ... ...     &    6  0 |  12   0   0   0 |   4   4   0   0   0   0   0   0 | 80   *   *   *   *  *   *   *  *  * |  2  0  0  1   0   0   0  0  0 | 1  2  0  0
o..3x.. ... *b3o.. ...     &    6  0 |  12   0   0   0 |   4   0   4   0   0   0   0   0 |  * 160   *   *   *  *   *   *  *  * |  1  1  0  0   1   0   0  0  0 | 1  1  1  0
... x..3o.. *b3o.. ...     &    6  0 |  12   0   0   0 |   0   4   4   0   0   0   0   0 |  *   * 160   *   *  *   *   *  *  * |  1  0  1  0   0   1   0  0  0 | 1  1  0  1
... x.. ... *b3o..3o..     &    4  0 |   6   0   0   0 |   0   0   4   0   0   0   0   0 |  *   *   * 160   *  *   *   *  *  * |  0  1  1  0   0   0   1  0  0 | 1  0  1  1
ox.3xo. ...    ... ...&#x  &    3  3 |   3   6   3   0 |   1   0   0   3   3   0   1   0 |  *   *   *   * 320  *   *   *  *  * |  0  0  0  1   2   0   0  0  0 | 0  2  1  0
oxo ... oxo    ... ...&#xt      2  4 |   0   8   2   2 |   0   0   0   4   0   4   0   0 |  *   *   *   *   * 80   *   *  *  * |  0  0  0  3   0   0   0  0  0 | 0  3  0  0
... xo.3ox.    ... ...&#x  &    3  3 |   3   6   0   3 |   0   1   0   0   3   3   0   1 |  *   *   *   *   *  * 320   *  *  * |  0  0  0  1   0   2   0  0  0 | 0  2  0  1
... xo. ... *b3oo. ...&#x  &    3  1 |   3   3   0   0 |   0   0   1   0   3   0   0   0 |  *   *   *   *   *  *   * 640  *  * |  0  0  0  0   1   1   1  0  0 | 0  1  1  1
.x.3.o. ... *b3.o. ...          0  4 |   0   0   6   0 |   0   0   0   0   0   0   4   0 |  *   *   *   *   *  *   *   * 80  * |  0  0  0  0   2   0   0  1  0 | 0  1  2  0
... .o.3.x. *b3.o. ...          0  4 |   0   0   0   6 |   0   0   0   0   0   0   0   4 |  *   *   *   *   *  *   *   *  * 80 |  0  0  0  0   0   2   0  0  1 | 0  1  0  2
-----------------------------+--------+-----------------+---------------------------------+-------------------------------------+-------------------------------+-----------
o..3x..3o.. *b3o.. ...     &   24  0 |  96   0   0   0 |  32  32  32   0   0   0   0   0 |  8   8   8   0   0  0   0   0  0  0 | 20  *  *  *   *   *   *  *  * | 1  1  0  0
o..3x.. ... *b3o..3o..     &   10  0 |  30   0   0   0 |  10   0  20   0   0   0   0   0 |  0   5   0   5   0  0   0   0  0  0 |  * 32  *  *   *   *   *  *  * | 1  0  1  0
... x..3o.. *b3o..3o..     &   10  0 |  30   0   0   0 |   0  10  20   0   0   0   0   0 |  0   0   5   5   0  0   0   0  0  0 |  *  * 32  *   *   *   *  *  * | 1  0  0  1
oxo3xox3oxo    ... ...&#xt     12 12 |  24  48  12  12 |   8   8   0  24  24  24   4   4 |  2   0   0   0   8  6   8   0  0  0 |  *  *  * 40   *   *   *  *  * | 0  2  0  0
ox.3xo. ... *b3oo. ...&#x  &    6  4 |  12  12   6   0 |   4   0   4   6  12   0   4   0 |  0   1   0   0   4  0   0   4  1  0 |  *  *  *  * 160   *   *  *  * | 0  1  1  0
... xo.3ox. *b3oo. ...&#x  &    6  4 |  12  12   0   6 |   0   4   4   0  12   6   0   4 |  0   0   1   0   0  0   4   4  0  1 |  *  *  *  *   * 160   *  *  * | 0  1  0  1
... xo. ... *b3oo.3oo.&#x  &    4  1 |   6   4   0   0 |   0   0   4   0   6   0   0   0 |  0   0   0   1   0  0   0   4  0  0 |  *  *  *  *   *   * 160  *  * | 0  0  1  1
.x.3.o. ... *b3.o.3.o.          0  5 |   0   0  10   0 |   0   0   0   0   0   0  10   0 |  0   0   0   0   0  0   0   0  5  0 |  *  *  *  *   *   *   * 16  * | 0  0  2  0
... .o.3.x. *b3.o.3.o.          0  5 |   0   0   0  10 |   0   0   0   0   0   0   0  10 |  0   0   0   0   0  0   0   0  0  5 |  *  *  *  *   *   *   *  * 16 | 0  0  0  2
-----------------------------+--------+-----------------+---------------------------------+-------------------------------------+-------------------------------+-----------
o..3x..3o.. *b3o..3o..     &   80  0 | 480   0   0   0 | 160 160 320   0   0   0   0   0 | 40  80  80  80   0  0   0   0  0  0 | 10 16 16  0   0   0   0  0  0 | 2  *  *  *
oxo3xox3oxo *b3ooo ...&#xt     48 32 | 192 192  48  48 |  64  64  64  96 192  96  32  32 | 16  16  16   0  64 24  64  64  8  8 |  2  0  0  8  16  16   0  0  0 | * 10  *  *
ox.3xo. ... *b3oo.3oo.&#x  &   10  5 |  30  20  10   0 |  10   0  20  10  30   0  10   0 |  0   5   0   5  10  0   0  20  5  0 |  0  1  0  0   5   0   5  1  0 | *  * 32  *
... xo.3ox. *b3oo.3oo.&#x  &   10  5 |  30  20   0  10 |   0  10  20   0  30  10   0  10 |  0   0   5   5   0  0  10  20  0  5 |  0  0  1  0   0   5   5  0  1 | *  *  * 32

oxooo3xoxoo3oxoxo3ooxox3oooxo&#xt   → all heights = 1/sqrt(3) = 0.577350
(rix || pseudo sarx || pseudo sibrid || pseudo inv sarx || inv rix)

o....3o....3o....3o....3o....     & | 30   *  *    8   8   0   0   0   0 |  4  12   4   8  12  0   0   0   0   0   0   0   0   0 |  6  8  4   6  12   8  0  0   0   0   0   0   0   0  0 |  4  2  6   4  8  2  0   0   0  0  0 | 1  4  1  2  0
.o...3.o...3.o...3.o...3.o...     & |  * 120  *    0   2   2   6   6   0 |  0   0   2   1   6  1   3   6   6   3   6   6   0   0 |  0  0  1   6   3   6  3  2   3   6   3   3   6   2  0 |  0  0  3   6  3  2  1   4   2  3  2 | 0  4  2  1  1
..o..3..o..3..o..3..o..3..o..       |  *   * 90    0   0   0   0   8   8 |  0   0   0   0   0  0   0   0   4   8   4  16   4   4 |  0  0  0   2   0   0  0  0   4   8   4   8   8   8  2 |  0  0  2   4  0  0  0   8   4  4  4 | 0  4  2  0  2
------------------------------------+-----------+-------------------------+-------------------------------------------------------+-------------------------------------------------------+-------------------------------------+--------------
..... x.... ..... ..... .....     & |  2   0  0 | 120   *   *   *   *   * |  1   3   0   1   0  0   0   0   0   0   0   0   0   0 |  3  3  1   0   3   0  0  0   0   0   0   0   0   0  0 |  3  1  3   0  3  0  0   0   0  0  0 | 1  3  0  1  0
oo...3oo...3oo...3oo...3oo...&#x  & |  1   1  0 |   * 240   *   *   *   * |  0   0   1   1   3  0   0   0   0   0   0   0   0   0 |  0  0  1   3   3   3  0  0   0   0   0   0   0   0  0 |  0  0  3   3  3  1  0   0   0  0  0 | 0  3  1  1  0
.x... ..... ..... ..... .....     & |  0   2  0 |   *   * 120   *   *   * |  0   0   1   0   0  1   0   0   3   0   0   0   0   0 |  0  0  1   3   0   0  0  0   3   3   0   0   0   0  0 |  0  0  3   3  0  0  0   3   1  0  0 | 0  3  1  0  1
..... ..... .x... ..... .....     & |  0   2  0 |   *   *   * 360   *   * |  0   0   0   0   1  0   1   2   0   0   1   0   0   0 |  0  0  0   1   1   2  2  1   0   0   1   0   2   0  0 |  0  0  1   2  2  1  1   0   0  2  1 | 0  3  1  1  0
.oo..3.oo..3.oo..3.oo..3.oo..&#x  & |  0   1  1 |   *   *   *   * 720   * |  0   0   0   0   0  0   0   0   1   1   1   2   0   0 |  0  0  0   1   0   0  0  0   1   2   1   2   2   1  0 |  0  0  1   2  0  0  0   3   1  2  1 | 0  3  1  0  1
..... ..x.. ..... ..... .....     & |  0   0  2 |   *   *   *   *   * 360 |  0   0   0   0   0  0   0   0   0   1   0   2   1   1 |  0  0  0   0   0   0  0  0   1   1   1   2   2   2  1 |  0  0  1   1  0  0  0   3   1  2  2 | 0  3  1  0  1
------------------------------------+-----------+-------------------------+-------------------------------------------------------+-------------------------------------------------------+-------------------------------------+--------------
o....3x.... ..... ..... .....     & |  3   0  0 |   3   0   0   0   0   0 | 40   *   *   *   *  *   *   *   *   *   *   *   *   * |  3  0  1   0   0   0  0  0   0   0   0   0   0   0  0 |  3  0  3   0  0  0  0   0   0  0  0 | 1  3  0  0  0
..... x....3o.... ..... .....     & |  3   0  0 |   3   0   0   0   0   0 |  * 120   *   *   *  *   *   *   *   *   *   *   *   * |  1  2  0   0   1   0  0  0   0   0   0   0   0   0  0 |  2  1  1   0  2  0  0   0   0  0  0 | 1  2  0  1  0
ox... ..... ..... ..... .....&#x  & |  1   2  0 |   0   2   1   0   0   0 |  *   * 120   *   *  *   *   *   *   *   *   *   *   * |  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
..... xo... ..... ..... .....&#x  & |  2   1  0 |   1   2   0   0   0   0 |  *   *   * 120   *  *   *   *   *   *   *   *   *   * |  0  0  1   0   3   0  0  0   0   0   0   0   0   0  0 |  0  0  3   0  3  0  0   0   0  0  0 | 0  3  0  1  0
..... ..... ox... ..... .....&#x  & |  1   2  0 |   0   2   0   1   0   0 |  *   *   *   * 360  *   *   *   *   *   *   *   *   * |  0  0  0   1   1   2  0  0   0   0   0   0   0   0  0 |  0  0  1   2  2  1  0   0   0  0  0 | 0  2  1  1  0
.x...3.o... ..... ..... .....     & |  0   3  0 |   0   0   3   0   0   0 |  *   *   *   *   * 40   *   *   *   *   *   *   *   * |  0  0  1   0   0   0  0  0   3   0   0   0   0   0  0 |  0  0  3   0  0  0  0   3   0  0  0 | 0  3  0  0  1
..... .o...3.x... ..... .....     & |  0   3  0 |   0   0   0   3   0   0 |  *   *   *   *   *  * 120   *   *   *   *   *   *   * |  0  0  0   0   1   0  2  0   0   0   1   0   0   0  0 |  0  0  1   0  2  0  1   0   0  2  0 | 0  3  0  1  0
..... ..... .x...3.o... .....     & |  0   3  0 |   0   0   0   3   0   0 |  *   *   *   *   *  *   * 240   *   *   *   *   *   * |  0  0  0   0   0   1  1  1   0   0   0   0   1   0  0 |  0  0  0   1  1  1  1   0   0  1  1 | 0  2  1  1  0
.xo.. ..... ..... ..... .....&#x  & |  0   2  1 |   0   0   1   0   2   0 |  *   *   *   *   *  *   *   * 360   *   *   *   *   * |  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
..... .ox.. ..... ..... .....&#x  & |  0   1  2 |   0   0   0   0   2   1 |  *   *   *   *   *  *   *   *   * 360   *   *   *   * |  0  0  0   0   0   0  0  0   1   0   1   2   0   0  0 |  0  0  1   0  0  0  0   3   0  2  0 | 0  3  0  0  1
..... ..... .xo.. ..... .....&#x  & |  0   2  1 |   0   0   0   1   2   0 |  *   *   *   *   *  *   *   *   *   * 360   *   *   * |  0  0  0   1   0   0  0  0   0   0   1   0   2   0  0 |  0  0  1   2  0  0  0   0   0  2  1 | 0  3  1  0  0
..... ..... ..... .ox.. .....&#x  & |  0   1  2 |   0   0   0   0   2   1 |  *   *   *   *   *  *   *   *   *   *   * 720   *   * |  0  0  0   0   0   0  0  0   0   1   0   1   1   1  0 |  0  0  0   1  0  0  0   2   1  1  1 | 0  2  1  0  1
..o..3..x.. ..... ..... .....     & |  0   0  3 |   0   0   0   0   0   3 |  *   *   *   *   *  *   *   *   *   *   *   * 120   * |  0  0  0   0   0   0  0  0   1   0   0   0   0   2  1 |  0  0  1   0  0  0  0   2   1  0  2 | 0  2  1  0  1
..... ..x..3..o.. ..... .....     & |  0   0  3 |   0   0   0   0   0   3 |  *   *   *   *   *  *   *   *   *   *   *   *   * 120 |  0  0  0   0   0   0  0  0   0   0   1   0   2   0  1 |  0  0  1   1  0  0  0   0   0  2  2 | 0  3  1  0  0
------------------------------------+-----------+-------------------------+-------------------------------------------------------+-------------------------------------------------------+-------------------------------------+--------------
o....3x....3o.... ..... .....     &   6   0  0 |  12   0   0   0   0   0 |  4   4   0   0   0  0   0   0   0   0   0   0   0   0 | 30  *  *   *   *   *  *  *   *   *   *   *   *   *  * |  2  0  1   0  0  0  0   0   0  0  0 | 1  2  0  0  0
..... x....3o....3o.... .....     &   4   0  0 |   6   0   0   0   0   0 |  0   4   0   0   0  0   0   0   0   0   0   0   0   0 |  * 60  *   *   *   *  *  *   *   *   *   *   *   *  * |  1  1  0   0  1  0  0   0   0  0  0 | 1  1  0  1  0
ox...3xo... ..... ..... .....&#x  &   3   3  0 |   3   6   3   0   0   0 |  1   0   3   3   0  1   0   0   0   0   0   0   0   0 |  *  * 40   *   *   *  *  *   *   *   *   *   *   *  * |  0  0  3   0  0  0  0   0   0  0  0 | 0  3  0  0  0
oxo.. ..... oxo.. ..... .....&#xt &   1   4  1 |   0   4   2   2   4   0 |  0   0   2   0   2  0   0   0   2   0   2   0   0   0 |  *  *  * 180   *   *  *  *   *   *   *   *   *   *  * |  0  0  1   2  0  0  0   0   0  0  0 | 0  2  1  0  0
..... xo...3ox... ..... .....&#x  &   3   3  0 |   3   6   0   3   0   0 |  0   1   0   3   3  0   1   0   0   0   0   0   0   0 |  *  *  *   * 120   *  *  *   *   *   *   *   *   *  * |  0  0  1   0  2  0  0   0   0  0  0 | 0  2  0  1  0
..... ..... ox...3oo... .....&#x  &   1   3  0 |   0   3   0   3   0   0 |  0   0   0   0   3  0   0   1   0   0   0   0   0   0 |  *  *  *   *   * 240  *  *   *   *   *   *   *   *  * |  0  0  0   1  1  1  0   0   0  0  0 | 0  1  1  1  0
..... .o...3.x...3.o... .....     &   0   6  0 |   0   0   0  12   0   0 |  0   0   0   0   0  0   4   4   0   0   0   0   0   0 |  *  *  *   *   *   * 60  *   *   *   *   *   *   *  * |  0  0  0   0  1  0  1   0   0  1  0 | 0  2  0  1  0
..... ..... .x...3.o...3.o...     &   0   4  0 |   0   0   0   6   0   0 |  0   0   0   0   0  0   0   4   0   0   0   0   0   0 |  *  *  *   *   *   *  * 60   *   *   *   *   *   *  * |  0  0  0   0  0  1  1   0   0  0  1 | 0  1  1  1  0
.xo..3.ox.. ..... ..... .....&#x  &   0   3  3 |   0   0   3   0   6   3 |  0   0   0   0   0  1   0   0   3   3   0   0   1   0 |  *  *  *   *   *   *  *  * 120   *   *   *   *   *  * |  0  0  1   0  0  0  0   2   0  0  0 | 0  2  0  0  1
.xo.. ..... ..... .ox.. .....&#x  &   0   2  2 |   0   0   1   0   4   1 |  0   0   0   0   0  0   0   0   2   0   0   2   0   0 |  *  *  *   *   *   *  *  *   * 360   *   *   *   *  * |  0  0  0   1  0  0  0   1   1  0  0 | 0  1  1  0  1
..... .ox..3.xo.. ..... .....&#x  &   0   3  3 |   0   0   0   3   6   3 |  0   0   0   0   0  0   1   0   0   3   3   0   0   1 |  *  *  *   *   *   *  *  *   *   * 120   *   *   *  * |  0  0  1   0  0  0  0   0   0  2  0 | 0  3  0  0  0
..... .oxo. ..... .oxo. .....&#xt     0   2  4 |   0   0   0   0   8   4 |  0   0   0   0   0  0   0   0   0   4   0   4   0   0 |  *  *  *   *   *   *  *  *   *   *   * 180   *   *  * |  0  0  0   0  0  0  0   2   0  1  0 | 0  2  0  0  1
..... ..... .xo..3.ox.. .....&#x  &   0   3  3 |   0   0   0   3   6   3 |  0   0   0   0   0  0   0   1   0   0   3   3   0   1 |  *  *  *   *   *   *  *  *   *   *   *   * 240   *  * |  0  0  0   1  0  0  0   0   0  1  1 | 0  2  1  0  0
..... ..... ..... .ox..3.oo..&#x  &   0   1  3 |   0   0   0   0   3   3 |  0   0   0   0   0  0   0   0   0   0   0   3   1   0 |  *  *  *   *   *   *  *  *   *   *   *   *   * 240  * |  0  0  0   0  0  0  0   1   1  0  1 | 0  1  1  0  1
..o..3..x..3..o.. ..... .....     &   0   0  6 |   0   0   0   0   0  12 |  0   0   0   0   0  0   0   0   0   0   0   0   4   4 |  *  *  *   *   *   *  *  *   *   *   *   *   *   * 30 |  0  0  1   0  0  0  0   0   0  0  2 | 0  2  1  0  0
------------------------------------+-----------+-------------------------+-------------------------------------------------------+-------------------------------------------------------+-------------------------------------+--------------
o....3x....3o....3o.... .....     &  10   0  0 |  30   0   0   0   0   0 | 10  20   0   0   0  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
..... x....3o....3o....3o....     &   5   0  0 |  10   0   0   0   0   0 |  0  10   0   0   0  0   0   0   0   0   0   0   0   0 |  0  5  0   0   0   0  0  0   0   0   0   0   0   0  0 |  * 12  *   *  *  *  *   *   *  *  * | 1  0  0  1  0
oxo..3xox..3oxo.. ..... .....&#xt &   6  12  6 |  12  24  12  12  24  12 |  4   4  12  12  12  4   4   0  12  12  12   0   4   4 |  1  0  4   6   4   0  0  0   4   0   4   0   0   0  1 |  *  * 30   *  *  *  *   *   *  *  * | 0  2  0  0  0
oxo.. ..... oxo..3oox.. .....&#xt &   1   6  3 |   0   6   3   6  12   3 |  0   0   3   0   6  0   0   2   6   0   6   6   0   1 |  0  0  0   3   0   2  0  0   0   3   0   0   2   0  0 |  *  *  * 120  *  *  *   *   *  *  * | 0  1  1  0  0
..... xo...3ox...3oo... .....&#x  &   4   6  0 |   6  12   0  12   0   0 |  0   4   0   6  12  0   4   4   0   0   0   0   0   0 |  0  1  0   0   4   4  1  0   0   0   0   0   0   0  0 |  *  *  *   * 60  *  *   *   *  *  * | 0  1  0  1  0
..... ..... ox...3oo...3oo...&#x  &   1   4  0 |   0   4   0   6   0   0 |  0   0   0   0   6  0   0   4   0   0   0   0   0   0 |  0  0  0   0   0   4  0  1   0   0   0   0   0   0  0 |  *  *  *   *  * 60  *   *   *  *  * | 0  0  1  1  0
..... .o...3.x...3.o...3.o...     &   0  10  0 |   0   0   0  30   0   0 |  0   0   0   0   0  0  10  20   0   0   0   0   0   0 |  0  0  0   0   0   0  5  5   0   0   0   0   0   0  0 |  *  *  *   *  *  * 12   *   *  *  * | 0  1  0  1  0
.xoo.3.oxo. ..... .oxo. .....&#xt &   0   4  6 |   0   0   3   0  18   9 |  0   0   0   0   0  1   0   0   6   9   0  12   2   0 |  0  0  0   0   0   0  0  0   2   3   0   3   0   2  0 |  *  *  *   *  *  *  * 120   *  *  * | 0  1  0  0  1
.xo.. ..... ..... .ox..3.oo..&#x  &   0   2  3 |   0   0   1   0   6   3 |  0   0   0   0   0  0   0   0   3   0   0   6   1   0 |  0  0  0   0   0   0  0  0   0   3   0   0   0   2  0 |  *  *  *   *  *  *  *   * 120  *  * | 0  0  1  0  1
..... .oxo.3.xox.3.oxo. .....&#xt &   0  12 12 |   0   0   0  24  48  24 |  0   0   0   0   0  0   8   8   0  24  24  24   0   8 |  0  0  0   0   0   0  2  0   0   0   8   6   8   0  0 |  *  *  *   *  *  *  *   *   * 30  * | 0  2  0  0  0
..... ..... .xo..3.ox..3.oo..&#x  &   0   4  6 |   0   0   0   6  12  12 |  0   0   0   0   0  0   0   4   0   0   6  12   4   4 |  0  0  0   0   0   0  0  1   0   0   0   0   4   4  1 |  *  *  *   *  *  *  *   *   *  * 60 | 0  1  1  0  0
------------------------------------+-----------+-------------------------+-------------------------------------------------------+-------------------------------------------------------+-------------------------------------+--------------
o....3x....3o....3o....3o....     &  15   0  0 |  60   0   0   0   0   0 | 20  60   0   0   0  0   0   0   0   0   0   0   0   0 | 15 30  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  *  *  *  *
oxoo.3xoxo.3oxox.3ooxo. .....&#xt &  10  40 30 |  30  60  30  90 180  90 | 10  20  30  30  60 10  30  40  60  90  90 120  20  30 |  5  5 10  30  20  20 10  5  20  30  30  30  40  20  5 |  1  0  5  10  5  0  1  10   0  5  5 | * 12  *  *  *
oxo.. ..... oxo..3oox..3ooo..&#xt &   1   8  6 |   0   8   4  12  24  12 |  0   0   4   0  12  0   0   8  12   0  12  24   4   4 |  0  0  0   6   0   8  0  2   0  12   0   0   8   8  1 |  0  0  0   4  0  2  0   0   4  0  2 | *  * 30  *  *
..... xo...3ox...3oo...3oo...&#x  &   5  10  0 |  10  20   0  30   0   0 |  0  10   0  10  30  0  10  20   0   0   0   0   0   0 |  0  5  0   0  10  20  5  5   0   0   0   0   0   0  0 |  0  1  0   0  5  5  1   0   0  0  0 | *  *  * 12  *
.xoo.3.oxo. ..... .oxo.3.oox.&#xt     0   6  9 |   0   0   6   0  36  18 |  0   0   0   0   0  2   0   0  18  18   0  36   6   0 |  0  0  0   0   0   0  0  0   6  18   0   9   0  12  0 |  0  0  0   0  0  0  0   6   6  0  0 | *  *  *  * 20

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