Acronym bril (old: driss)
Name birectified heptapeton,
vertex figure of lin
Circumradius sqrt(6/7) = 0.925820
Lace city
in approx. ASCII-art
P   R  	 -- o3x3o3o3o (rix)
       
  R   r	 -- o3o3x3o3o (dot)

where:
P = x3o3o3o (pen)
R = o3x3o3o (rap)
r = o3o3x3o (inv. rap)
      +-------- o3o o3o3o (point)
     /  +------ x3o x3o3o (tratet)
    /  /  +---- o3x o3x3o (gyro troct)
   /  /  /  +-- o3o o3o3x (dual tet)
  /  /  /  /

p  H  o 	-- o3x3o3o3o (rix)
        
 t  O  T	-- o3o3x3o3o (dot)

where:
p = o o3o3o (point)
H = x x3o3o (tepe)
o = o o3x3o (oct)
t = o x3o3o (tet)
O = x o3x3o (ope)
T = o o3o3x (dual tet)
Dihedral angles
(at margins)
  • at rap between dot and rix:   arccos(-1/6) = 99.594068°
  • at pen between rix and rix:   arccos(1/6) = 80.405932°
  • at rap between dot and dot:   arccos(1/6) = 80.405932°
Confer
related segmentopeta:
tratetpy  
general polytopal classes:
segmentopeta   fundamental lace prisms  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3x3o3o3o

. . . . . . | 35   12 |  12  18 |  4  18  12 |  6 12  3 | 4 3
------------+----+-----+---------+------------+----------+----
. . x . . . |  2 | 210 |   2   3 |  1   6   3 |  3  6  1 | 3 2
------------+----+-----+---------+------------+----------+----
. o3x . . . |  3 |   3 | 140   * |  1   3   0 |  3  3  0 | 3 1
. . x3o . . |  3 |   3 |   * 210 |  0   2   2 |  1  4  1 | 2 2
------------+----+-----+---------+------------+----------+----
o3o3x . . .   4 |   6 |   4   0 | 35   *   * |  3  0  0 | 3 0
. o3x3o . .   6 |  12 |   4   4 |  * 105   * |  1  2  0 | 2 1
. . x3o3o .   4 |   6 |   0   4 |  *   * 105 |  0  2  1 | 1 2
------------+----+-----+---------+------------+----------+----
o3o3x3o . .  10 |  30 |  20  10 |  5   5   0 | 21  *  * | 2 0
. o3x3o3o .  10 |  30 |  10  20 |  0   5   5 |  * 42  * | 1 1
. . x3o3o3o   5 |  10 |   0  10 |  0   0   5 |  *  * 21 | 0 2
------------+----+-----+---------+------------+----------+----
o3o3x3o3o .  20 |  90 |  60  60 | 15  30  15 |  6  6  0 | 7 *
. o3x3o3o3o  15 |  60 |  20  60 |  0  15  30 |  0  6  6 | * 7

oo3xo3ox3oo3oo&#x   → height = sqrt(7/12) = 0.763763
(rix || dot)

o.3o.3o.3o.3o.    | 15  *   8  4  0 |  4 12  8  6  0  0 |  6  8  4 12  4  0  0  0 | 4 2  6  8  1 0 0 | 1 4 2 0
.o3.o3.o3.o3.o    |  * 20   0  3  9 |  0  0  3  9  9  9 |  0  0  1  9  9  3  9  3 | 0 0  3  9  3 3 3 | 0 3 3 1
------------------+-------+----------+-------------------+-------------------------+------------------+--------
.. x. .. .. ..    |  2  0 | 60  *  * |  1  3  1  0  0  0 |  3  3  1  3  0  0  0  0 | 3 1  3  3  0 0 0 | 1 3 1 0
oo3oo3oo3oo3oo&#x |  1  1 |  * 60  * |  0  0  2  3  0  0 |  0  0  1  6  3  0  0  0 | 0 0  3  6  1 0 0 | 0 3 2 0
.. .. .x .. ..    |  0  2 |  *  * 90 |  0  0  0  1  2  2 |  0  0  0  2  2  1  4  1 | 0 0  1  4  1 2 2 | 0 2 2 1
------------------+-------+----------+-------------------+-------------------------+------------------+--------
o.3x. .. .. ..    |  3  0 |  3  0  0 | 20  *  *  *  *  * |  3  0  1  0  0  0  0  0 | 3 0  3  0  0 0 0 | 1 3 0 0
.. x.3o. .. ..    |  3  0 |  3  0  0 |  * 60  *  *  *  * |  1  2  0  1  0  0  0  0 | 2 1  1  2  0 0 0 | 1 2 1 0
.. xo .. .. ..&#x |  2  1 |  1  2  0 |  *  * 60  *  *  * |  0  0  1  3  0  0  0  0 | 0 0  3  3  0 0 0 | 0 3 1 0
.. .. ox .. ..&#x |  1  2 |  0  2  1 |  *  *  * 90  *  * |  0  0  0  2  2  0  0  0 | 0 0  1  4  1 0 0 | 0 2 2 0
.. .o3.x .. ..    |  0  3 |  0  0  3 |  *  *  *  * 60  * |  0  0  0  1  0  1  2  0 | 0 0  1  2  0 2 1 | 0 2 1 1
.. .. .x3.o ..    |  0  3 |  0  0  3 |  *  *  *  *  * 60 |  0  0  0  0  1  0  2  1 | 0 0  0  2  1 1 2 | 0 1 2 1
------------------+-------+----------+-------------------+-------------------------+------------------+--------
o.3x.3o. .. ..      6  0 | 12  0  0 |  4  4  0  0  0  0 | 15  *  *  *  *  *  *  * | 2 0  1  0  0 0 0 | 1 2 0 0
.. x.3o.3o. ..      4  0 |  6  0  0 |  0  4  0  0  0  0 |  * 30  *  *  *  *  *  * | 1 1  0  1  0 0 0 | 1 1 1 0
oo3xo .. .. ..&#x   3  1 |  3  3  0 |  1  0  3  0  0  0 |  *  * 20  *  *  *  *  * | 0 0  3  0  0 0 0 | 0 3 0 0
.. xo3ox .. ..&#x   3  3 |  3  6  3 |  0  1  3  3  1  0 |  *  *  * 60  *  *  *  * | 0 0  1  2  0 0 0 | 0 2 1 0
.. .. ox3oo ..&#x   1  3 |  0  3  3 |  0  0  0  3  0  1 |  *  *  *  * 60  *  *  * | 0 0  0  2  1 0 0 | 0 1 2 0
.o3.o3.x .. ..      0  4 |  0  0  6 |  0  0  0  0  4  0 |  *  *  *  *  * 15  *  * | 0 0  1  0  0 2 0 | 0 2 0 1
.. .o3.x3.o ..      0  6 |  0  0 12 |  0  0  0  0  4  4 |  *  *  *  *  *  * 30  * | 0 0  0  1  0 1 1 | 0 1 1 1
.. .. .x3.o3.o      0  4 |  0  0  6 |  0  0  0  0  0  4 |  *  *  *  *  *  *  * 15 | 0 0  0  0  1 0 2 | 0 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  0 | 6 *  *  *  * * * | 1 1 0 0
.. x.3o.3o.3o.      5  0 | 10  0  0 |  0 10  0  0  0  0 |  0  5  0  0  0  0  0  0 | * 6  *  *  * * * | 1 0 1 0
oo3xo3ox .. ..&#x   6  4 | 12 12  6 |  4  4 12  6  4  0 |  1  0  4  4  0  1  0  0 | * * 15  *  * * * | 0 2 0 0
.. xo3ox3oo ..&#x   4  6 |  6 12 12 |  0  4  6 12  4  4 |  0  1  0  4  4  0  1  0 | * *  * 30  * * * | 0 1 1 0
.. .. ox3oo3oo&#x   1  4 |  0  4  6 |  0  0  0  6  0  4 |  0  0  0  0  4  0  0  1 | * *  *  * 15 * * | 0 0 2 0
.o3.o3.x3.o ..      0 10 |  0  0 30 |  0  0  0  0 20 10 |  0  0  0  0  0  5  5  0 | * *  *  *  * 6 * | 0 1 0 1
.. .o3.x3.o3.o      0 10 |  0  0 30 |  0  0  0  0 10 20 |  0  0  0  0  0  0  5  5 | * *  *  *  * * 6 | 0 0 1 1
------------------+-------+----------+-------------------+-------------------------+------------------+--------
o.3x.3o.3o.3o.     15  0 | 60  0  0 | 20 60  0  0  0  0 | 15 30  0  0  0  0  0  0 | 6 6  0  0  0 0 0 | 1 * * *
oo3xo3ox3oo ..&#x  10 10 | 30 30 30 | 10 20 30 30 20 10 |  5  5 10 20 10  5  5  0 | 1 0  5  5  0 1 0 | * 6 * *
.. xo3ox3oo3oo&#x   5 10 | 10 20 30 |  0 10 10 30 10 20 |  0  5  0 10 20  0  5  5 | 0 1  0  5  5 0 1 | * * 6 *
.o3.o3.x3.o3.o      0 20 |  0  0 90 |  0  0  0  0 60 60 |  0  0  0  0  0 15 30 15 | 0 0  0  0  0 6 6 | * * * 1

oxo xoo3oxo3oox3ooo&#xt   → all heights = sqrt(7/20) = 0.591608
(pen || (pseudo) rappip || inv. rap)

o.. o..3o..3o..3o..     | 5  *  *   4  8  0  0  0  0 |  6  4  8 12  0  0  0  0  0  0  0 | 4  4  6 12  8  0  0  0  0  0  0 0 0 | 1  6  4  8  2 0  0  0  0 0 | 4 1 2 0
.o. .o.3.o.3.o.3.o.     | * 20  *   0  2  1  6  3  0 |  0  2  1  6  3  6  3  6  3  0  0 | 0  1  6  3  6  3  2  3  3  6  1 0 0 | 0  3  6  3  2 1  1  3  2 0 | 3 2 1 1
..o ..o3..o3..o3..o     | *  * 10   0  0  0  0  6  6 |  0  0  0  0  0  0  3  6 12  6  3 | 0  0  3  0  0  0  0  6  2 12  6 2 3 | 0  1  6  0  0 0  3  4  6 1 | 2 3 0 2
------------------------+---------+-------------------+----------------------------------+-------------------------------------+----------------------------+--------
... x.. ... ... ...     | 2  0  0 | 10  *  *  *  *  * |  3  0  2  0  0  0  0  0  0  0  0 | 3  1  0  6  0  0  0  0  0  0  0 0 0 | 1  3  0  6  0 0  0  0  0 0 | 3 0 2 0
oo. oo.3oo.3oo.3oo.&#x  | 1  1  0 |  * 40  *  *  *  * |  0  1  1  3  0  0  0  0  0  0  0 | 0  1  3  3  3  0  0  0  0  0  0 0 0 | 0  3  3  3  1 0  0  0  0 0 | 3 1 1 0
.x. ... ... ... ...     | 0  2  0 |  *  * 10  *  *  * |  0  2  0  0  0  0  3  0  0  0  0 | 0  1  6  0  0  0  0  3  0  0  0 0 0 | 0  3  6  0  0 0  1  0  0 0 | 3 2 0 0
... ... .x. ... ...     | 0  2  0 |  *  *  * 60  *  * |  0  0  0  1  1  2  0  1  0  0  0 | 0  0  1  1  2  2  1  0  1  2  0 0 0 | 0  1  2  2  1 1  0  2  1 0 | 2 1 1 1
.oo .oo3.oo3.oo3.oo&#x  | 0  1  1 |  *  *  *  * 60  * |  0  0  0  0  0  0  1  2  2  0  0 | 0  0  2  0  0  0  0  2  1  4  1 0 0 | 0  1  4  0  0 0  1  2  2 0 | 2 2 0 1
... ... ... ..x ...     | 0  0  2 |  *  *  *  *  * 30 |  0  0  0  0  0  0  0  0  2  2  1 | 0  0  0  0  0  0  0  1  0  4  2 1 2 | 0  0  2  0  0 0  1  2  4 1 | 1 2 0 2
------------------------+---------+-------------------+----------------------------------+-------------------------------------+----------------------------+--------
... x..3o.. ... ...     | 3  0  0 |  3  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  * | 2  0  0  2  0  0  0  0  0  0  0 0 0 | 1  1  0  4  0 0  0  0  0 0 | 2 0 2 0
ox. ... ... ... ...&#x  | 1  2  0 |  0  2  1  0  0  0 |  * 20  *  *  *  *  *  *  *  *  * | 0  1  3  0  0  0  0  0  0  0  0 0 0 | 0  3  3  0  0 0  0  0  0 0 | 3 1 0 0
... xo. ... ... ...&#x  | 2  1  0 |  1  2  0  0  0  0 |  *  * 20  *  *  *  *  *  *  *  * | 0  1  0  3  0  0  0  0  0  0  0 0 0 | 0  3  0  3  0 0  0  0  0 0 | 3 0 1 0
... ... ox. ... ...&#x  | 1  2  0 |  0  2  0  1  0  0 |  *  *  * 60  *  *  *  *  *  *  * | 0  0  1  1  2  0  0  0  0  0  0 0 0 | 0  1  2  2  1 0  0  0  0 0 | 2 1 1 0
... .o.3.x. ... ...     | 0  3  0 |  0  0  0  3  0  0 |  *  *  *  * 20  *  *  *  *  *  * | 0  0  0  1  0  2  0  0  1  0  0 0 0 | 0  1  0  2  0 1  0  2  0 0 | 2 0 1 1
... ... .x.3.o. ...     | 0  3  0 |  0  0  0  3  0  0 |  *  *  *  *  * 40  *  *  *  *  * | 0  0  0  0  1  1  1  0  0  1  0 0 0 | 0  0  1  1  1 1  0  1  1 0 | 1 1 1 1
.xo ... ... ... ...&#x  | 0  2  1 |  0  0  1  0  2  0 |  *  *  *  *  *  * 30  *  *  *  * | 0  0  2  0  0  0  0  2  0  0  0 0 0 | 0  1  4  0  0 0  1  0  0 0 | 2 2 0 0
... ... .xo ... ...&#x  | 0  2  1 |  0  0  0  1  2  0 |  *  *  *  *  *  *  * 60  *  *  * | 0  0  1  0  0  0  0  0  1  2  0 0 0 | 0  1  2  0  0 0  0  2  1 0 | 2 1 0 1
... ... ... .ox ...&#x  | 0  1  2 |  0  0  0  0  2  1 |  *  *  *  *  *  *  *  * 60  *  * | 0  0  0  0  0  0  0  1  0  2  1 0 0 | 0  0  2  0  0 0  1  1  2 0 | 1 2 0 1
... ... ..o3..x ...     | 0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  * 20  * | 0  0  0  0  0  0  0  0  0  2  0 1 1 | 0  0  1  0  0 0  0  2  2 1 | 1 1 0 2
... ... ... ..x3..o     | 0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  * 10 | 0  0  0  0  0  0  0  0  0  0  2 0 2 | 0  0  0  0  0 0  1  0  4 1 | 0 2 0 2
------------------------+---------+-------------------+----------------------------------+-------------------------------------+----------------------------+--------
... x..3o..3o.. ...      4  0  0 |  6  0  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0  0 | 5  *  *  *  *  *  *  *  *  *  * * * | 1  0  0  2  0 0  0  0  0 0 | 1 0 2 0
ox. xo. ... ... ...&#x   2  2  0 |  1  4  1  0  0  0 |  0  2  2  0  0  0  0  0  0  0  0 | * 10  *  *  *  *  *  *  *  *  * * * | 0  3  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  2  0  2  0  0  2  2  0  0  0 | *  * 30  *  *  *  *  *  *  *  * * * | 0  1  2  0  0 0  0  0  0 0 | 2 1 0 0
... xo.3ox. ... ...&#x   3  3  0 |  3  6  0  3  0  0 |  1  0  3  3  1  0  0  0  0  0  0 | *  *  * 20  *  *  *  *  *  *  * * * | 0  1  0  2  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  3  0  1  0  0  0  0  0 | *  *  *  * 40  *  *  *  *  *  * * * | 0  0  1  1  1 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  4  4  0  0  0  0  0 | *  *  *  *  * 10  *  *  *  *  * * * | 0  0  0  1  0 1  0  1  0 0 | 1 0 1 1
... ... .x.3.o.3.o.      0  4  0 |  0  0  0  6  0  0 |  0  0  0  0  0  4  0  0  0  0  0 | *  *  *  *  *  * 10  *  *  *  * * * | 0  0  0  0  1 1  0  0  1 0 | 0 1 1 1
.xo ... ... .ox ...&#x   0  2  2 |  0  0  1  0  4  1 |  0  0  0  0  0  0  2  0  2  0  0 | *  *  *  *  *  *  * 30  *  *  * * * | 0  0  2  0  0 0  1  0  0 0 | 1 2 0 0
... .oo3.xo ... ...&#x   0  3  1 |  0  0  0  3  3  0 |  0  0  0  0  1  0  0  3  0  0  0 | *  *  *  *  *  *  *  * 20  *  * * * | 0  1  0  0  0 0  0  2  0 0 | 2 0 0 1
... ... .xo3.ox ...&#x   0  3  3 |  0  0  0  3  6  3 |  0  0  0  0  0  1  0  3  3  1  0 | *  *  *  *  *  *  *  *  * 40  * * * | 0  0  1  0  0 0  0  1  1 0 | 1 1 0 1
... ... ... .ox3.oo&#x   0  1  3 |  0  0  0  0  3  3 |  0  0  0  0  0  0  0  0  3  0  1 | *  *  *  *  *  *  *  *  *  * 20 * * | 0  0  0  0  0 0  1  0  2 0 | 0 2 0 1
... ..o3..o3..x ...      0  0  4 |  0  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  4  0 | *  *  *  *  *  *  *  *  *  *  * 5 * | 0  0  0  0  0 0  0  2  0 1 | 1 0 0 2
... ... ..o3..x3..o      0  0  6 |  0  0  0  0  0 12 |  0  0  0  0  0  0  0  0  0  4  4 | *  *  *  *  *  *  *  *  *  *  * * 5 | 0  0  0  0  0 0  0  0  2 1 | 0 1 0 2
------------------------+---------+-------------------+----------------------------------+-------------------------------------+----------------------------+--------
... x..3o..3o..3o..      5  0  0 | 10  0  0  0  0  0 | 10  0  0  0  0  0  0  0  0  0  0 | 5  0  0  0  0  0  0  0  0  0  0 0 0 | 1  *  *  *  * *  *  *  * * | 0 0 2 0
oxo xoo3oxo ... ...&#xt  3  6  1 |  3 12  3  6  6  0 |  1  6  6  6  2  0  3  6  0  0  0 | 0  3  3  2  0  0  0  0  2  0  0 0 0 | * 10  *  *  * *  *  *  * * | 2 0 0 0
oxo ... oxo3oox ...&#xt  1  6  3 |  0  6  3  6 12  3 |  0  3  0  6  0  2  6  6  6  1  0 | 0  0  3  0  2  0  0  3  0  2  0 0 0 | *  * 20  *  * *  *  *  * * | 1 1 0 0
... xo.3ox.3oo. ...&#x   4  6  0 |  6 12  0 12  0  0 |  4  0  6 12  4  4  0  0  0  0  0 | 1  0  0  4  4  1  0  0  0  0  0 0 0 | *  *  * 10  * *  *  *  * * | 1 0 1 0
... ... ox.3oo.3oo.&#x   1  4  0 |  0  4  0  6  0  0 |  0  0  0  6  0  4  0  0  0  0  0 | 0  0  0  0  4  0  1  0  0  0  0 0 0 | *  *  *  * 10 *  *  *  * * | 0 1 1 0
... .o.3.x.3.o.3.o.      0 10  0 |  0  0  0 30  0  0 |  0  0  0  0 10 20  0  0  0  0  0 | 0  0  0  0  0  5  5  0  0  0  0 0 0 | *  *  *  *  * 2  *  *  * * | 0 0 1 1
.xo ... ... .ox3.oo&#x   0  2  3 |  0  0  1  0  6  3 |  0  0  0  0  0  0  3  0  6  0  1 | 0  0  0  0  0  0  0  3  0  0  2 0 0 | *  *  *  *  * * 10  *  * * | 0 2 0 0
... .oo3.xo3.ox ...&#x   0  6  4 |  0  0  0 12 12  6 |  0  0  0  0  4  4  0 12  6  4  0 | 0  0  0  0  0  1  0  0  4  4  0 1 0 | *  *  *  *  * *  * 10  * * | 1 0 0 1
... ... .xo3.ox3.oo&#x   0  4  6 |  0  0  0  6 12 12 |  0  0  0  0  0  4  0  6 12  4  4 | 0  0  0  0  0  0  1  0  0  4  4 0 1 | *  *  *  *  * *  *  * 10 * | 0 1 0 1
... ..o3..o3..x3..o      0  0 10 |  0  0  0  0  0 30 |  0  0  0  0  0  0  0  0  0 20 10 | 0  0  0  0  0  0  0  0  0  0  0 5 5 | *  *  *  *  * *  *  *  * 1 | 0 0 0 2
------------------------+---------+-------------------+----------------------------------+-------------------------------------+----------------------------+--------
oxo xoo3oxo3oox ...&#xt  4 12  4 |  6 24  6 24 24  6 |  4 12 12 24  8  8 12 24 12  4  0 | 1  6 12  8  8  2  0  6  8  8  0 1 0 | 0  4  4  2  0 0  0  2  0 0 | 5 * * *
oxo ... oxo3oox3ooo&#xt  1  8  6 |  0  8  4 12 24 12 |  0  4  0 12  0  8 12 12 24  4  4 | 0  0  6  0  8  0  2 12  0  8  8 0 1 | 0  0  4  0  2 0  4  0  2 0 | * 5 * *
... xo.3ox.3oo.3oo.&#x   5 10  0 | 10 20  0 30  0  0 | 10  0 10 30 10 20  0  0  0  0  0 | 5  0  0 10 20  5  5  0  0  0  0 0 0 | 1  0  0  5  5 1  0  0  0 0 | * * 2 *
... .oo3.xo3.ox3.oo&#x   0 10 10 |  0  0  0 30 30 30 |  0  0  0  0 10 20  0 30 30 20 10 | 0  0  0  0  0  5  5  0 10 20 10 5 5 | 0  0  0  0  0 1  0  5  5 1 | * * * 2

oxoo3ooxo oxoo3ooxo3ooox&#xt   → all heights = sqrt(7/24) = 0.540062
(pt || (pseudo) tratet || (pseudo) gyro troct || dual tet)

o...3o... o...3o...3o...     | 1  *  * *  12  0  0  0  0  0  0 0 | 12 18 0  0  0  0  0  0 0  0  0  0  0  0 0 | 4 18 12 0  0  0  0  0  0  0 0  0  0  0  0 0 | 6 12 3  0  0  0  0 0 0 0 | 4 3 0 0
.o..3.o.. .o..3.o..3.o..     | * 12  * *   1  2  3  6  0  0  0 0 |  2  3 1  3  6  3  6  6 0  0  0  0  0  0 0 | 1  6  3 1  3  6  3  3  6  2 0  0  0  0  0 0 | 3  6 1  3  2  3  1 2 0 0 | 3 2 1 1
..o.3..o. ..o.3..o.3..o.     | *  * 18 *   0  0  0  4  2  4  2 0 |  0  0 0  0  2  4  2  8 1  2  2  4  4  1 0 | 0  1  0 0  2  4  2  8  2  2 1  2  2  2  2 0 | 1  2 0  4  2  4  4 2 1 1 | 2 1 2 2
...o3...o ...o3...o3...o     | *  *  * 4   0  0  0  0  0  0  9 3 |  0  0 0  0  0  0  0  0 0  0  0  9  9  9 3 | 0  0  0 0  0  0  0  9  0  0 0  3  9  3  9 1 | 0  0 0  3  0  3  9 0 3 3 | 1 0 3 3
-----------------------------+-----------+------------------------+-------------------------------------------+---------------------------------------------+--------------------------+--------
oo..3oo.. oo..3oo..3oo..&#x  | 1  1  0 0 | 12  *  *  *  *  *  * * |  2  3 0  0  0  0  0  0 0  0  0  0  0  0 0 | 1  6  3 0  0  0  0  0  0  0 0  0  0  0  0 0 | 3  6 1  0  0  0  0 0 0 0 | 3 2 0 0
.x.. .... .... .... ....     | 0  2  0 0 |  * 12  *  *  *  *  * * |  1  0 1  0  3  0  0  0 0  0  0  0  0  0 0 | 1  3  0 0  3  3  0  0  0  0 0  0  0  0  0 0 | 3  3 0  3  1  0  0 0 0 0 | 3 1 1 0
.... .... .x.. .... ....     | 0  2  0 0 |  *  * 18  *  *  *  * * |  0  1 0  2  0  0  2  0 0  0  0  0  0  0 0 | 0  2  2 1  0  0  1  0  4  0 0  0  0  0  0 0 | 1  4 1  0  0  2  0 2 0 0 | 2 2 0 1
.oo.3.oo. .oo.3.oo.3.oo.&#x  | 0  1  1 0 |  *  *  * 72  *  *  * * |  0  0 0  0  1  1  1  2 0  0  0  0  0  0 0 | 0  1  0 0  1  2  1  2  2  1 0  0  0  0  0 0 | 1  2 0  2  1  2  1 1 0 0 | 2 1 1 1
.... ..x. .... .... ....     | 0  0  2 0 |  *  *  *  * 18  *  * * |  0  0 0  0  0  2  0  0 1  0  0  2  0  0 0 | 0  0  0 0  2  0  1  4  0  0 0  2  1  0  0 0 | 1  0 0  4  0  2  2 0 1 0 | 2 0 2 1
.... .... .... ..x. ....     | 0  0  2 0 |  *  *  *  *  * 36  * * |  0  0 0  0  0  0  0  2 0  1  1  0  1  0 0 | 0  0  0 0  0  1  0  2  2  2 1  0  0  1  1 0 | 0  1 0  1  1  2  2 2 0 1 | 1 1 1 2
..oo3..oo ..oo3..oo3..oo&#x  | 0  0  1 1 |  *  *  *  *  *  * 36 * |  0  0 0  0  0  0  0  0 0  0  0  2  2  1 0 | 0  0  0 0  0  0  0  4  0  0 0  1  2  1  2 0 | 0  0 0  2  0  2  4 0 1 1 | 1 0 2 2
.... .... .... .... ...x     | 0  0  0 2 |  *  *  *  *  *  *  * 6 |  0  0 0  0  0  0  0  0 0  0  0  0  0  3 2 | 0  0  0 0  0  0  0  0  0  0 0  0  3  0  6 1 | 0  0 0  0  0  0  6 0 1 3 | 0 0 2 3
-----------------------------+-----------+------------------------+-------------------------------------------+---------------------------------------------+--------------------------+--------
ox.. .... .... .... ....&#x  | 1  2  0 0 |  2  1  0  0  0  0  0 0 | 12  * *  *  *  *  *  * *  *  *  *  *  * * | 1  3  0 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
.... .... ox.. .... ....&#x  | 1  2  0 0 |  2  0  1  0  0  0  0 0 |  * 18 *  *  *  *  *  * *  *  *  *  *  * * | 0  2  2 0  0  0  0  0  0  0 0  0  0  0  0 0 | 1  4 1  0  0  0  0 0 0 0 | 2 2 0 0
.x..3.o.. .... .... ....     | 0  3  0 0 |  0  3  0  0  0  0  0 0 |  *  * 4  *  *  *  *  * *  *  *  *  *  * * | 1  0  0 0  3  0  0  0  0  0 0  0  0  0  0 0 | 3  0 0  3  0  0  0 0 0 0 | 3 0 1 0
.... .... .x..3.o.. ....     | 0  3  0 0 |  0  0  3  0  0  0  0 0 |  *  * * 12  *  *  *  * *  *  *  *  *  * * | 0  0  1 1  0  0  0  0  2  0 0  0  0  0  0 0 | 0  2 1  0  0  1  0 2 0 0 | 1 2 0 1
.xo. .... .... .... ....&#x  | 0  2  1 0 |  0  1  0  2  0  0  0 0 |  *  * *  * 36  *  *  * *  *  *  *  *  * * | 0  1  0 0  1  2  0  0  0  0 0  0  0  0  0 0 | 1  2 0  2  1  0  0 0 0 0 | 2 1 1 0
.... .ox. .... .... ....&#x  | 0  1  2 0 |  0  0  0  2  1  0  0 0 |  *  * *  *  * 36  *  * *  *  *  *  *  * * | 0  0  0 0  1  0  1  2  0  0 0  0  0  0  0 0 | 1  0 0  2  0  2  1 0 0 0 | 2 0 1 1
.... .... .xo. .... ....&#x  | 0  2  1 0 |  0  0  1  2  0  0  0 0 |  *  * *  *  *  * 36  * *  *  *  *  *  * * | 0  1  0 0  0  0  1  0  2  0 0  0  0  0  0 0 | 1  2 0  0  0  2  0 1 0 0 | 2 1 0 1
.... .... .... .ox. ....&#x  | 0  1  2 0 |  0  0  0  2  0  1  0 0 |  *  * *  *  *  *  * 72 *  *  *  *  *  * * | 0  0  0 0  0  1  0  1  1  1 0  0  0  0  0 0 | 0  1 0  1  1  1  1 1 0 0 | 1 1 1 1
..o.3..x. .... .... ....     | 0  0  3 0 |  0  0  0  0  3  0  0 0 |  *  * *  *  *  *  *  * 6  *  *  *  *  * * | 0  0  0 0  2  0  0  0  0  0 0  2  0  0  0 0 | 1  0 0  4  0  0  0 0 1 0 | 2 0 2 0
.... .... ..o.3..x. ....     | 0  0  3 0 |  0  0  0  0  0  3  0 0 |  *  * *  *  *  *  *  * * 12  *  *  *  * * | 0  0  0 0  0  0  0  0  2  0 1  0  0  1  0 0 | 0  1 0  0  0  2  0 2 0 1 | 1 1 0 2
.... .... .... ..x.3..o.     | 0  0  3 0 |  0  0  0  0  0  3  0 0 |  *  * *  *  *  *  *  * *  * 12  *  *  * * | 0  0  0 0  0  0  0  0  0  2 1  0  0  0  1 0 | 0  0 0  0  1  0  2 2 0 1 | 0 1 1 2
.... ..xo .... .... ....&#x  | 0  0  2 1 |  0  0  0  0  1  0  2 0 |  *  * *  *  *  *  *  * *  *  * 36  *  * * | 0  0  0 0  0  0  0  2  0  0 0  1  1  0  0 0 | 0  0 0  2  0  1  2 0 1 0 | 1 0 2 1
.... .... .... ..xo ....&#x  | 0  0  2 1 |  0  0  0  0  0  1  2 0 |  *  * *  *  *  *  *  * *  *  *  * 36  * * | 0  0  0 0  0  0  0  2  0  0 0  0  0  1  1 0 | 0  0 0  1  0  2  2 0 0 1 | 1 0 1 2
.... .... .... .... ..ox&#x  | 0  0  1 2 |  0  0  0  0  0  0  2 1 |  *  * *  *  *  *  *  * *  *  *  *  * 18 * | 0  0  0 0  0  0  0  0  0  0 0  0  2  0  2 0 | 0  0 0  0  0  0  4 0 1 1 | 0 0 2 2
.... .... .... ...o3...x     | 0  0  0 3 |  0  0  0  0  0  0  0 3 |  *  * *  *  *  *  *  * *  *  *  *  *  * 4 | 0  0  0 0  0  0  0  0  0  0 0  0  0  0  3 1 | 0  0 0  0  0  0  3 0 0 3 | 0 0 1 3
-----------------------------+-----------+------------------------+-------------------------------------------+---------------------------------------------+--------------------------+--------
ox..3oo.. .... .... ....&#x   1  3  0 0 |  3  3  0  0  0  0  0 0 |  3  0 1  0  0  0  0  0 0  0  0  0  0  0 0 | 4  *  * *  *  *  *  *  *  * *  *  *  *  * * | 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 0 |  2  2 0  0  2  0  2  0 0  0  0  0  0  0 0 | * 18  * *  *  *  *  *  *  * *  *  *  *  * * | 1  2 0  0  0  0  0 0 0 0 | 2 1 0 0
.... .... ox..3oo.. ....&#x   1  3  0 0 |  3  0  3  0  0  0  0 0 |  0  3 0  1  0  0  0  0 0  0  0  0  0  0 0 | *  * 12 *  *  *  *  *  *  * *  *  *  *  * * | 0  2 1  0  0  0  0 0 0 0 | 1 2 0 0
.... .... .x..3.o..3.o..      0  4  0 0 |  0  0  6  0  0  0  0 0 |  0  0 0  4  0  0  0  0 0  0  0  0  0  0 0 | *  *  * 3  *  *  *  *  *  * *  *  *  *  * * | 0  0 1  0  0  0  0 2 0 0 | 0 2 0 1
.xo.3.ox. .... .... ....&#x   0  3  3 0 |  0  3  0  6  3  0  0 0 |  0  0 1  0  3  3  0  0 1  0  0  0  0  0 0 | *  *  * * 12  *  *  *  *  * *  *  *  *  * * | 1  0 0  2  0  0  0 0 0 0 | 2 0 1 0
.xo. .... .... .ox. ....&#x   0  2  2 0 |  0  1  0  4  0  1  0 0 |  0  0 0  0  2  0  0  2 0  0  0  0  0  0 0 | *  *  * *  * 36  *  *  *  * *  *  *  *  * * | 0  1 0  1  1  0  0 0 0 0 | 1 1 1 0
.... .ox. .xo. .... ....&#x   0  2  2 0 |  0  0  1  4  1  0  0 0 |  0  0 0  0  0  2  2  0 0  0  0  0  0  0 0 | *  *  * *  *  * 18  *  *  * *  *  *  *  * * | 1  0 0  0  0  2  0 0 0 0 | 2 0 0 1
.... .oxo .... .oxo ....&#xt  0  1  4 1 |  0  0  0  4  2  2  4 0 |  0  0 0  0  0  2  0  2 0  0  0  2  2  0 0 | *  *  * *  *  *  * 36  *  * *  *  *  *  * * | 0  0 0  1  0  1  1 0 0 0 | 1 0 1 1
.... .... .xo.3.ox. ....&#x   0  3  3 0 |  0  0  3  6  0  3  0 0 |  0  0 0  1  0  0  3  3 0  1  0  0  0  0 0 | *  *  * *  *  *  *  * 24  * *  *  *  *  * * | 0  1 0  0  0  1  0 1 0 0 | 1 1 0 1
.... .... .... .ox.3.oo.&#x   0  1  3 0 |  0  0  0  3  0  3  0 0 |  0  0 0  0  0  0  0  3 0  0  1  0  0  0 0 | *  *  * *  *  *  *  *  * 24 *  *  *  *  * * | 0  0 0  0  1  0  1 1 0 0 | 0 1 1 1
.... .... ..o.3..x.3..o.      0  0  6 0 |  0  0  0  0  0 12  0 0 |  0  0 0  0  0  0  0  0 0  4  4  0  0  0 0 | *  *  * *  *  *  *  *  *  * 3  *  *  *  * * | 0  0 0  0  0  0  0 2 0 1 | 0 1 0 2
..oo3..xo .... .... ....&#x   0  0  3 1 |  0  0  0  0  3  0  3 0 |  0  0 0  0  0  0  0  0 1  0  0  3  0  0 0 | *  *  * *  *  *  *  *  *  * * 12  *  *  * * | 0  0 0  2  0  0  0 0 1 0 | 1 0 2 0
.... ..xo .... .... ..ox&#x   0  0  2 2 |  0  0  0  0  1  0  4 1 |  0  0 0  0  0  0  0  0 0  0  0  2  0  2 0 | *  *  * *  *  *  *  *  *  * *  * 18  *  * * | 0  0 0  0  0  0  2 0 1 0 | 0 0 2 1
.... .... ..oo3..xo ....&#x   0  0  3 1 |  0  0  0  0  0  3  3 0 |  0  0 0  0  0  0  0  0 0  1  0  0  3  0 0 | *  *  * *  *  *  *  *  *  * *  *  * 12  * * | 0  0 0  0  0  2  0 0 0 1 | 1 0 0 2
.... .... .... ..xo3..ox&#x   0  0  3 3 |  0  0  0  0  0  3  6 3 |  0  0 0  0  0  0  0  0 0  0  1  0  3  3 1 | *  *  * *  *  *  *  *  *  * *  *  *  * 12 * | 0  0 0  0  0  0  2 0 0 1 | 0 0 1 2
.... .... ...o3...o3...x      0  0  0 4 |  0  0  0  0  0  0  0 6 |  0  0 0  0  0  0  0  0 0  0  0  0  0  0 4 | *  *  * *  *  *  *  *  *  * *  *  *  *  * 1 | 0  0 0  0  0  0  0 0 0 3 | 0 0 0 3
-----------------------------+-----------+------------------------+-------------------------------------------+---------------------------------------------+--------------------------+--------
oxo.3oox. oxo. .... ....&#xt  1  6  3 0 |  6  6  3 12  3  0  0 0 |  6  3 2  0  6  6  6  0 1  0  0  0  0  0 0 | 2  3  0 0  2  0  3  0  0  0 0  0  0  0  0 0 | 6  * *  *  *  *  * * * * | 2 0 0 0
oxo. .... oxo.3oox. ....&#xt  1  6  3 0 |  6  3  6 12  0  3  0 0 |  3  6 0  2  6  0  6  6 0  1  0  0  0  0 0 | 0  3  2 0  0  3  0  0  2  0 0  0  0  0  0 0 | * 12 *  *  *  *  * * * * | 1 1 0 0
.... .... ox..3oo..3oo..&#x   1  4  0 0 |  4  0  6  0  0  0  0 0 |  0  6 0  4  0  0  0  0 0  0  0  0  0  0 0 | 0  0  4 1  0  0  0  0  0  0 0  0  0  0  0 0 | *  * 3  *  *  *  * * * * | 0 2 0 0
.xoo3.oxo .... .oxo ....&#xt  0  3  6 1 |  0  3  0 12  6  3  6 0 |  0  0 1  0  6  6  0  6 2  0  0  6  3  0 0 | 0  0  0 0  2  3  0  3  0  0 0  2  0  0  0 0 | *  * * 12  *  *  * * * * | 1 0 1 0
.xo. .... .... .ox.3.oo.&#x   0  2  3 0 |  0  1  0  6  0  3  0 0 |  0  0 0  0  3  0  0  6 0  0  1  0  0  0 0 | 0  0  0 0  0  3  0  0  0  2 0  0  0  0  0 0 | *  * *  * 12  *  * * * * | 0 1 1 0
.... .oxo .xoo3.oxo ....&#xt  0  3  6 1 |  0  0  3 12  3  6  6 0 |  0  0 0  1  0  6  6  6 0  2  0  3  6  0 0 | 0  0  0 0  0  0  3  3  2  0 0  0  0  2  0 0 | *  * *  *  * 12  * * * * | 1 0 0 1
.... .oxo .... .oxo3.oox&#xt  0  1  6 3 |  0  0  0  6  3  6 12 3 |  0  0 0  0  0  3  0  6 0  0  2  6  6  6 1 | 0  0  0 0  0  0  0  3  0  2 0  0  3  0  2 0 | *  * *  *  *  * 12 * * * | 0 0 1 1
.... .... .xo.3.ox.3.oo.&#x   0  4  6 0 |  0  0  6 12  0 12  0 0 |  0  0 0  4  0  0  6 12 0  4  4  0  0  0 0 | 0  0  0 1  0  0  0  0  4  4 1  0  0  0  0 0 | *  * *  *  *  *  * 6 * * | 0 1 0 1
..oo3..xo .... .... ..ox&#x   0  0  3 2 |  0  0  0  0  3  0  6 1 |  0  0 0  0  0  0  0  0 1  0  0  6  0  3 0 | 0  0  0 0  0  0  0  0  0  0 0  2  3  0  0 0 | *  * *  *  *  *  * * 6 * | 0 0 2 0
.... .... ..oo3..xo3..ox&#x   0  0  6 4 |  0  0  0  0  0 12 12 6 |  0  0 0  0  0  0  0  0 0  4  4  0 12  6 4 | 0  0  0 0  0  0  0  0  0  0 1  0  0  4  4 1 | *  * *  *  *  *  * * * 3 | 0 0 0 2
-----------------------------+-----------+------------------------+-------------------------------------------+---------------------------------------------+--------------------------+--------
oxoo3ooxo oxoo3ooxo ....&#xt  1  9  9 1 |  9  9  9 36  9  9  9 0 |  9  9 3  3 18 18 18 18 3  3  0  9  9  0 0 | 3  9  3 0  6  9  9  9  6  0 0  3  0  3  0 0 | 3  3 0  3  0  3  0 0 0 0 | 4 * * *
oxo. .... oxo.3oox.3ooo.&#xt  1  8  6 0 |  8  4 12 24  0 12  0 0 |  4 12 0  8 12  0 12 24 0  4  4  0  0  0 0 | 0  6  8 2  0 12  0  0  8  8 1  0  0  0  0 0 | 0  4 2  0  4  0  0 2 0 0 | * 3 * *
.xoo3.oxo .... .oxo3.oox&#xt  0  3  9 3 |  0  3  0 18  9  9 18 3 |  0  0 1  0  9  9  0 18 3  0  3 18  9  9 1 | 0  0  0 0  3  9  0  9  0  6 0  6  9  0  3 0 | 0  0 0  3  3  0  3 0 3 0 | * * 4 *
.... .oxo .xoo3.oxo3.oox&#xt  0  4 12 4 |  0  0  6 24  6 24 24 6 |  0  0 0  4  0 12 12 24 0  8  8 12 24 12 4 | 0  0  0 1  0  0  6 12  8  8 2  0  6  8  8 1 | 0  0 0  0  0  4  4 2 0 2 | * * * 3

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