Acronym oca (old: oc)
Name octaexon,
7D simplex7),
pyrozett(id),
heptapetal pyramid,
vertex figure of ene,
(one of the) Delone cell(s) of lattice E7,
Gosset polytope 06
Circumradius sqrt(7)/4 = 0.661438
Inradius 1/sqrt(112) = 0.094491
Volume 1/20160 = 0.000049603
Surface sqrt(7)/720 = 0.0036747
Rel. Roundness 3 π3 sqrt(7)/38416 = 0.640631 %
Dual (seldual, in different orientation)
Dihedral angles
  • at hix between hop and hop:   arccos(1/7) = 81.786789°
Confer
general polytopal classes:
simplex   noble polytopes   segmentoexa   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o

. . . . . . . | 8   7 | 21 | 35 | 35 | 21 | 7
--------------+---+----+----+----+----+----+--
x . . . . . . | 2 | 28   6 | 15 | 20 | 15 | 6
--------------+---+----+----+----+----+----+--
x3o . . . . . | 3 |  3 | 56   5 | 10 | 10 | 5
--------------+---+----+----+----+----+----+--
x3o3o . . . .  4 |  6 |  4 | 70   4 |  6 | 4
--------------+---+----+----+----+----+----+--
x3o3o3o . . .  5 | 10 | 10 |  5 | 56 |  3 | 3
--------------+---+----+----+----+----+----+--
x3o3o3o3o . .  6 | 15 | 20 | 15 |  6 | 28 | 2
--------------+---+----+----+----+----+----+--
x3o3o3o3o3o .  7 | 21 | 35 | 35 | 21 |  7 | 8

ox3oo3oo3oo3oo3oo&#x   → height = 2/sqrt(7) = 0.755929
(pt || hop)

o.3o.3o.3o.3o.3o.    | 1 *  7  0 | 21  0 | 35  0 | 35  0 | 21 0 | 7 0
.o3.o3.o3.o3.o3.o    | * 7  1  6 |  6 15 | 15 20 | 20 15 | 15 6 | 6 1
---------------------+-----+------+-------+-------+-------+------+----
oo3oo3oo3oo3oo3oo&#x | 1 1 | 7  *   6  0 | 15  0 | 20  0 | 15 0 | 6 0
.x .. .. .. .. ..    | 0 2 | * 21   1  5 |  5 10 | 10 10 | 10 5 | 5 1
---------------------+-----+------+-------+-------+-------+------+----
ox .. .. .. .. ..&#x | 1 2 | 2  1 | 21  *   5  0 | 10  0 | 10 0 | 5 0
.x3.o .. .. .. ..    | 0 3 | 0  3 |  * 35   1  4 |  4  6 |  6 4 | 4 1
---------------------+-----+------+-------+-------+-------+------+----
ox3oo .. .. .. ..&#x  1 3 | 3  3 |  3  1 | 35  *   4  0 |  6 0 | 4 0
.x3.o3.o .. .. ..     0 4 | 0  6 |  0  4 |  * 35   1  3 |  3 3 | 3 1
---------------------+-----+------+-------+-------+-------+------+----
ox3oo3oo .. .. ..&#x  1 4 | 4  6 |  6  4 |  4  1 | 35  * |  3 0 | 3 0
.x3.o3.o3.o .. ..     0 5 | 0 10 |  0 10 |  0  5 |  * 21 |  1 2 | 2 1
---------------------+-----+------+-------+-------+-------+------+----
ox3oo3oo3oo .. ..&#x  1 5 | 5 10 | 10 10 | 10  5 |  5  1 | 21 * | 2 0
.x3.o3.o3.o3.o ..     0 6 | 0 15 |  0 20 |  0 15 |  0  6 |  * 7 | 1 1
---------------------+-----+------+-------+-------+-------+------+----
ox3oo3oo3oo3oo ..&#x  1 6 | 6 15 | 15 20 | 20 15 | 15  6 |  6 1 | 7 *
.x3.o3.o3.o3.o3.o     0 7 | 0 21 |  0 35 |  0 35 |  0 21 |  0 7 | * 1

xo ox3oo3oo3oo3oo&#x   → height = 1/sqrt(3) = 0.577350
(line || perp hix)

o. o.3o.3o.3o.3o.    | 2 *  1  6  0 | 6 15  0 | 15 20  0 | 20 15 0 | 15  6 0 | 6 1
.o .o3.o3.o3.o3.o    | * 6  0  2  5 | 1 10 10 |  5 20 10 | 10 20 5 | 10 10 1 | 5 2
---------------------+-----+---------+---------+----------+---------+---------+----
x. .. .. .. .. ..    | 2 0 | 1  *  *  6  0  0 | 15  0  0 | 20  0 0 | 15  0 0 | 6 0
oo oo3oo3oo3oo3oo&#x | 1 1 | * 12  *  1  5  0 |  5 10  0 | 10 10 0 | 10  5 0 | 5 1
.. .x .. .. .. ..    | 0 2 | *  * 15  0  2  4 |  1  8  6 |  4 12 4 |  6  8 1 | 4 2
---------------------+-----+---------+---------+----------+---------+---------+----
xo .. .. .. .. ..&#x | 2 1 | 1  2  0 | 6  *  *   5  0  0 | 10  0 0 | 10  0 0 | 5 0
.. ox .. .. .. ..&#x | 1 2 | 0  2  1 | * 30  *   1  4  0 |  4  6 0 |  6  4 0 | 4 1
.. .x3.o .. .. ..    | 0 3 | 0  0  3 | *  * 20   0  2  3 |  1  6 3 |  3  6 1 | 3 2
---------------------+-----+---------+---------+----------+---------+---------+----
xo ox .. .. .. ..&#x  2 2 | 1  4  1 | 2  2  0 | 15  *  *   4  0 0 |  6  0 0 | 4 0
.. ox3oo .. .. ..&#x  1 3 | 0  3  3 | 0  3  1 |  * 40  *   1  3 0 |  3  3 0 | 3 1
.. .x3.o3.o .. ..     0 4 | 0  0  6 | 0  0  4 |  *  * 15   0  2 2 |  1  4 1 | 2 2
---------------------+-----+---------+---------+----------+---------+---------+----
xo ox3oo .. .. ..&#x  2 3 | 1  6  3 | 3  6  1 |  3  2  0 | 20  * * |  3  0 0 | 3 0
.. ox3oo3oo .. ..&#x  1 4 | 0  4  6 | 0  6  4 |  0  4  1 |  * 30 * |  1  2 0 | 2 1
.. .x3.o3.o3.o ..     0 5 | 0  0 10 | 0  0 10 |  0  0  5 |  *  * 6 |  0  2 1 | 1 2
---------------------+-----+---------+---------+----------+---------+---------+----
xo ox3oo3oo .. ..&#x  2 4 | 1  8  6 | 4 12  4 |  6  8  1 |  4  2 0 | 15  * * | 2 0
.. ox3oo3oo3oo ..&#x  1 5 | 0  5 10 | 0 10 10 |  0 10  5 |  0  5 1 |  * 12 * | 1 1
.. .x3.o3.o3.o3.o     0 6 | 0  0 15 | 0  0 20 |  0  0 15 |  0  0 6 |  *  * 1 | 0 2
---------------------+-----+---------+---------+----------+---------+---------+----
xo ox3oo3oo3oo ..&#x  2 5 | 1 10 10 | 5 20 10 | 10 20  5 | 10 10 1 |  5  2 0 | 6 *
.. ox3oo3oo3oo3oo&#x  1 6 | 0  6 15 | 0 15 20 |  0 20 15 |  0 15 6 |  0  6 1 | * 2

xo3oo ox3oo3oo3oo&#x   → height = sqrt(4/15) = 0.516398
({3} || perp pen)

o.3o. o.3o.3o.3o.    | 3 *  2  5  0 | 1 10 10  0 | 5 20 10 0 | 10 20  5 0 | 10 10 1 | 5 2
.o3.o .o3.o3.o3.o    | * 5  0  3  4 | 0  3 12  6 | 1 12 18 4 |  4 18 12 1 |  6 12 3 | 4 3
---------------------+-----+---------+------------+-----------+------------+---------+----
x. .. .. .. .. ..    | 2 0 | 3  *  *  1  5  0  0 | 5 10  0 0 | 10 10  0 0 | 10  5 0 | 5 1
oo3oo oo3oo3oo3oo&#x | 1 1 | * 15  *  0  2  4  0 | 1  8  6 0 |  4 12  4 0 |  6  8 1 | 4 2
.. .. .x .. .. ..    | 0 2 | *  * 10  0  0  3  3 | 0  3  9 3 |  1  9  9 1 |  3  9 3 | 3 3
---------------------+-----+---------+------------+-----------+------------+---------+----
x.3o. .. .. .. ..    | 3 0 | 3  0  0 | 1  *  *  *  5  0  0 0 | 10  0  0 0 | 10  0 0 | 5 0
xo .. .. .. .. ..&#x | 2 1 | 1  2  0 | * 15  *  *  1  4  0 0 |  4  6  0 0 |  6  4 0 | 4 1
.. .. ox .. .. ..&#x | 1 2 | 0  2  1 | *  * 30  *  0  2  3 0 |  1  6  3 0 |  3  6 1 | 3 2
.. .. .x3.o .. ..    | 0 3 | 0  0  3 | *  *  * 10  0  0  3 2 |  0  3  6 1 |  1  6 3 | 2 3
---------------------+-----+---------+------------+-----------+------------+---------+----
xo3oo .. .. .. ..&#x  3 1 | 3  3  0 | 1  3  0  0 | 5  *  * *   4  0  0 0 |  6  0 0 | 4 0
xo .. ox .. .. ..&#x  2 2 | 1  4  1 | 0  2  2  0 | * 30  * *   1  3  0 0 |  3  3 0 | 3 1
.. .. ox3oo .. ..&#x  1 3 | 0  3  3 | 0  0  3  1 | *  * 30 *   0  2  2 0 |  1  4 1 | 2 2
.. .. .x3.o3.o ..     0 4 | 0  0  6 | 0  0  0  4 | *  *  * 5   0  0  3 1 |  0  3 3 | 1 3
---------------------+-----+---------+------------+-----------+------------+---------+----
xo3oo ox .. .. ..&#x  3 2 | 3  6  1 | 1  6  3  0 | 2  3  0 0 | 10  *  * * |  3  0 0 | 3 0
xo .. ox3oo .. ..&#x  2 3 | 1  6  3 | 0  3  6  1 | 0  3  2 0 |  * 30  * * |  1  2 0 | 2 1
.. .. ox3oo3oo ..&#x  1 4 | 0  4  6 | 0  0  6  4 | 0  0  4 1 |  *  * 15 * |  0  2 1 | 1 2
.. .. .x3.o3.o3.o     0 5 | 0  0 10 | 0  0  0 10 | 0  0  0 5 |  *  *  * 1 |  0  0 3 | 0 3
---------------------+-----+---------+------------+-----------+------------+---------+----
xo3oo ox3oo .. ..&#x  3 3 | 3  9  3 | 1  9  9  1 | 3  9  3 0 |  3  3  0 0 | 10  * * | 2 0
xo .. ox3oo3oo ..&#x  2 4 | 1  8  6 | 0  4 12  4 | 0  6  8 1 |  0  4  2 0 |  * 15 * | 1 1
.. .. ox3oo3oo3oo&#x  1 5 | 0  5 10 | 0  0 10 10 | 0  0 10 5 |  0  0  5 1 |  *  * 3 | 0 2
---------------------+-----+---------+------------+-----------+------------+---------+----
xo3oo ox3oo3oo ..&#x  3 4 | 3 12  6 | 1 12 18  4 | 4 18 12 1 |  6 12  3 0 |  4  3 0 | 5 *
xo .. ox3oo3oo3oo&#x  2 5 | 1 10 10 | 0  5 20 10 | 0 10 20 5 |  0 10 10 1 |  0  5 2 | * 3

xo3oo3oo ox3oo3oo&#x   → height = 1/2
(tet || perp tet)

o.3o.3o. o.3o.3o.    | 4 *  3  4 0 | 3 12  6 0 | 1 12 18  4 0 | 4 18 12 1 | 6 12 3 | 4 3
.o3.o3.o .o3.o3.o    | * 4  0  4 3 | 0  6 12 3 | 0  4 18 12 1 | 1 12 18 4 | 3 12 6 | 3 4
---------------------+-----+--------+-----------+--------------+-----------+--------+----
x. .. .. .. .. ..    | 2 0 | 6  * *  2  4  0 0 | 1  6  8  0 0 | 4 12  4 0 | 6  8 1 | 4 2
oo3oo3oo oo3oo3oo&#x | 1 1 | * 16 *  0  3  3 0 | 0  3  9  3 0 | 1  9  9 1 | 3  9 3 | 3 3
.. .. .. .x .. ..    | 0 2 | *  * 6  0  0  4 2 | 0  0  6  8 1 | 0  4 12 4 | 1  8 6 | 2 4
---------------------+-----+--------+-----------+--------------+-----------+--------+----
x.3o. .. .. .. ..    | 3 0 | 3  0 0 | 4  *  * *  1  4  0  0 0 | 4  6  0 0 | 6  4 0 | 4 1
xo .. .. .. .. ..&#x | 2 1 | 1  2 0 | * 24  * *  0  2  3  0 0 | 1  6  3 0 | 3  6 1 | 3 2
.. .. .. ox .. ..&#x | 1 2 | 0  2 1 | *  * 24 *  0  0  3  2 0 | 0  3  6 1 | 1  6 3 | 2 3
.. .. .. .x3.o ..    | 0 3 | 0  0 3 | *  *  * 4  0  0  0  4 1 | 0  0  6 4 | 0  4 6 | 1 4
---------------------+-----+--------+-----------+--------------+-----------+--------+----
x.3o.3o. .. .. ..     4 0 | 6  0 0 | 4  0  0 0 | 1  *  *  * *  4  0  0 0 | 6  0 0 | 4 0
xo3oo .. .. .. ..&#x  3 1 | 3  3 0 | 1  3  0 0 | * 16  *  * *  1  3  0 0 | 3  3 0 | 3 1
xo .. .. ox .. ..&#x  2 2 | 1  4 1 | 0  2  2 0 | *  * 36  * *  0  2  2 0 | 1  4 1 | 2 2
.. .. .. ox3oo ..&#x  1 3 | 0  3 3 | 0  0  3 1 | *  *  * 16 *  0  0  3 1 | 0  3 3 | 1 3
.. .. .. .x3.o3.o     0 4 | 0  0 6 | 0  0  0 4 | *  *  *  * 1  0  0  0 4 | 0  0 6 | 0 4
---------------------+-----+--------+-----------+--------------+-----------+--------+----
xo3oo3oo .. .. ..&#x  4 1 | 6  4 0 | 4  6  0 0 | 1  4  0  0 0 | 4  *  * * | 3  0 0 | 3 0
xo3oo .. ox .. ..&#x  3 2 | 3  6 1 | 1  6  3 0 | 0  2  3  0 0 | * 24  * * | 1  2 0 | 2 1
xo .. .. ox3oo ..&#x  2 3 | 1  6 3 | 0  3  6 1 | 0  0  3  2 0 | *  * 24 * | 0  2 1 | 1 2
.. .. .. ox3oo3oo&#x  1 4 | 0  4 6 | 0  0  6 4 | 0  0  0  4 1 | *  *  * 4 | 0  0 3 | 0 3
---------------------+-----+--------+-----------+--------------+-----------+--------+----
xo3oo3oo ox .. ..&#x  4 2 | 6  8 1 | 4 12  4 0 | 1  8  6  0 0 | 2  4  0 0 | 6  * * | 2 0
xo3oo .. ox3oo ..&#x  3 3 | 3  9 3 | 1  9  9 1 | 0  3  9  3 0 | 0  3  3 0 | * 16 * | 1 1
xo .. .. ox3oo3oo&#x  2 4 | 1  8 6 | 0  4 12 4 | 0  0  6  8 1 | 0  0  4 2 | *  * 6 | 0 2
---------------------+-----+--------+-----------+--------------+-----------+--------+----
xo3oo3oo ox3oo ..&#x  4 3 | 6 12 3 | 4 18 12 1 | 1 12 18  4 0 | 3 12  6 0 | 3  4 0 | 4 *
xo3oo .. ox3oo3oo&#x  3 4 | 3 12 6 | 1 12 18 4 | 0  4 18 12 1 | 0  6 12 3 | 0  4 3 | * 4
or
o.3o.3o. o.3o.3o.    & | 8   3  4 | 3 18 | 1 16 18 | 5 30 |  9 12 | 7
-----------------------+---+-------+------+---------+------+-------+--
x. .. .. .. .. ..    & | 2 | 12  *  2  4 | 1  8  6 | 4 16 |  7  8 | 6
oo3oo3oo oo3oo3oo&#x   | 2 |  * 16  0  6 | 0  6  9 | 2 18 |  6  9 | 6
-----------------------+---+-------+------+---------+------+-------+--
x.3o. .. .. .. ..    & | 3 |  3  0 | 8  *  1  4  0 | 4  6 |  6  4 | 5
xo .. .. .. .. ..&#x & | 3 |  1  2 | * 48  0  2  3 | 1  9 |  4  6 | 5
-----------------------+---+-------+------+---------+------+-------+--
x.3o.3o. .. .. ..    &  4 |  6  0 | 4  0 | 2  *  *  4  0 |  6  0 | 4
xo3oo .. .. .. ..&#x &  4 |  3  3 | 1  3 | * 32  *  1  3 |  3  3 | 4
xo .. .. ox .. ..&#x    4 |  2  4 | 0  4 | *  * 36  0  4 |  2  4 | 4
-----------------------+---+-------+------+---------+------+-------+--
xo3oo3oo .. .. ..&#x &  5 |  6  4 | 4  6 | 1  4  0 | 8  * |  3  0 | 3
xo3oo .. ox .. ..&#x &  5 |  4  6 | 1  9 | 0  2  3 | * 48 |  1  2 | 3
-----------------------+---+-------+------+---------+------+-------+--
xo3oo3oo ox .. ..&#x &  6 |  7  8 | 4 16 | 1  8  6 | 2  4 | 12  * | 2
xo3oo .. ox3oo ..&#x    6 |  6  9 | 2 18 | 0  6  9 | 0  6 |  * 16 | 2
-----------------------+---+-------+------+---------+------+-------+--
xo3oo3oo ox3oo ..&#x &  7 |  9 12 | 5 30 | 1 16 18 | 3 18 |  3  4 | 8

oxo3ooo oox3ooo3ooo&#x   → height(1,2) = sqrt(2/3) = 0.816497
                           height(1,3) = sqrt(5/8) = 0.790569
                           height(2,3) = sqrt(7/24) = 0.540062
( (pt || {3}) || perp tet)

o..3o.. o..3o..3o..    | 1 * *  3 4 0  0 0 | 3 6 12 0  0  0 0 | 12 1 18 4 0  0  0 0 | 4 18 12 1 0  0 0 | 6 12 3 0 0 | 4 3 0
.o.3.o. .o.3.o.3.o.    | * 3 *  1 0 2  4 0 | 2 0  4 1  8  6 0 |  8 1  6 0 4 12  4 0 | 4 12  4 0 6  8 1 | 6  8 1 4 2 | 4 2 1
..o3..o ..o3..o3..o    | * * 4  0 1 0  3 3 | 0 3  3 0  3  9 3 |  3 0  9 3 1  9  9 1 | 1  9  9 1 3  9 3 | 3  9 3 3 3 | 3 3 1
-----------------------+-------+------------+------------------+---------------------+------------------+------------+------
oo.3oo. oo.3oo.3oo.&#x | 1 1 0 | 3 * *  * *  2 0  4 0  0  0 0 |  8 1  6 0 0  0  0 0 | 4 12  4 0 0  0 0 | 6  8 1 0 0 | 4 2 0
o.o3o.o o.o3o.o3o.o&#x | 1 0 1 | * 4 *  * *  0 3  3 0  0  0 0 |  3 0  9 3 0  0  0 0 | 1  9  9 1 0  0 0 | 3  9 3 0 0 | 3 3 0
.x. ... ... ... ...    | 0 2 0 | * * 3  * *  1 0  0 1  4  0 0 |  4 1  0 0 4  6  0 0 | 4  6  0 0 6  4 0 | 6  4 0 4 1 | 4 1 1
.oo3.oo .oo3.oo3.oo&#x | 0 1 1 | * * * 12 *  0 0  1 0  2  3 0 |  2 0  3 0 1  6  3 0 | 1  6  3 0 3  6 1 | 3  6 1 3 2 | 3 2 1
... ... ..x ... ...    | 0 0 2 | * * *  * 6  0 1  0 0  0  3 2 |  0 0  3 2 0  3  6 1 | 0  3  6 1 1  6 3 | 1  6 3 2 3 | 2 3 1
-----------------------+-------+------------+------------------+---------------------+------------------+------------+------
ox. ... ... ... ...&#x | 1 2 0 | 2 0 1  0 0 | 3 *  * *  *  * *   4 1  0 0 0  0  0 0 | 4  6  0 0 0  0 0 | 6  4 0 0 0 | 4 1 0
... ... o.x ... ...&#x | 1 0 2 | 0 2 0  0 1 | * 6  * *  *  * *   0 0  3 2 0  0  0 0 | 0  3  6 1 0  0 0 | 1  6 3 0 0 | 2 3 0
ooo3ooo ooo3ooo3ooo&#x | 1 1 1 | 1 1 0  1 0 | * * 12 *  *  * *   2 0  3 0 0  0  0 0 | 1  6  3 0 0  0 0 | 3  6 1 0 0 | 3 2 0
.x.3.o. ... ... ...    | 0 3 0 | 0 0 3  0 0 | * *  * 1  *  * *   0 1  0 0 4  0  0 0 | 4  0  0 0 6  0 0 | 6  0 0 4 0 | 4 0 1
.xo ... ... ... ...&#x | 0 2 1 | 0 0 1  2 0 | * *  * * 12  * *   1 0  0 0 1  3  0 0 | 1  3  0 0 3  3 0 | 3  3 0 3 1 | 3 1 1
... ... .ox ... ...&#x | 0 1 2 | 0 0 0  2 1 | * *  * *  * 18 *   0 0  1 0 0  2  2 0 | 0  2  2 0 1  4 1 | 1  4 1 2 2 | 2 2 1
... ... ..x3..o ...    | 0 0 3 | 0 0 0  0 3 | * *  * *  *  * 4   0 0  0 1 0  0  3 1 | 0  0  3 1 0  3 3 | 0  3 3 1 3 | 1 3 1
-----------------------+-------+------------+------------------+---------------------+------------------+------------+------
oxo ... ... ... ...&#x  1 2 1 | 2 1 1  2 0 | 1 0  2 0  1  0 0 | 12 *  * * *  *  * *  1  3  0 0 0  0 0 | 3  3 0 0 0 | 3 1 0
ox.3oo. ... ... ...&#x  1 3 0 | 3 0 3  0 0 | 3 0  0 1  0  0 0 |  * 1  * * *  *  * *  4  0  0 0 0  0 0 | 6  0 0 0 0 | 4 0 0
... ... oox ... ...&#x  1 1 2 | 1 2 0  2 1 | 0 1  2 0  0  1 0 |  * * 18 * *  *  * *  0  2  2 0 0  0 0 | 1  4 1 0 0 | 2 2 0
... ... o.x3o.o ...&#x  1 0 3 | 0 3 0  0 3 | 0 3  0 0  0  0 1 |  * *  * 4 *  *  * *  0  0  3 1 0  0 0 | 0  3 3 0 0 | 1 3 0
.xo3.oo ... ... ...&#x  0 3 1 | 0 0 3  3 0 | 0 0  0 1  3  0 0 |  * *  * * 4  *  * *  1  0  0 0 3  0 0 | 3  0 0 3 0 | 3 0 1
.xo ... .ox ... ...&#x  0 2 2 | 0 0 1  4 1 | 0 0  0 0  2  2 0 |  * *  * * * 18  * *  0  1  0 0 1  2 0 | 1  2 0 2 1 | 2 1 1
... ... .ox3.oo ...&#x  0 1 3 | 0 0 0  3 3 | 0 0  0 0  0  3 1 |  * *  * * *  * 12 *  0  0  1 0 0  2 1 | 0  2 1 1 2 | 1 2 1
... ... ..x3..o3..o     0 0 4 | 0 0 0  0 6 | 0 0  0 0  0  0 4 |  * *  * * *  *  * 1  0  0  0 1 0  0 3 | 0  0 3 0 3 | 0 3 1
-----------------------+-------+------------+------------------+---------------------+------------------+------------+------
oxo3ooo ... ... ...&#x  1 3 1 | 3 1 3  3 0 | 3 0  3 1  3  0 0 |  3 1  0 0 1  0  0 0 | 4  *  * * *  * * | 3  0 0 0 0 | 3 0 0
oxo ... oox ... ...&#x  1 2 2 | 2 2 1  4 1 | 1 1  4 0  2  2 0 |  2 0  2 0 0  1  0 0 | * 18  * * *  * * | 1  2 0 0 0 | 2 1 0
... ... oox3ooo ...&#x  1 1 3 | 1 3 0  3 3 | 0 3  3 0  0  3 1 |  0 0  3 1 0  0  1 0 | *  * 12 * *  * * | 0  2 1 0 0 | 1 2 0
... ... o.x3o.o3o.o&#x  1 0 4 | 0 4 0  0 6 | 0 6  0 0  0  0 4 |  0 0  0 4 0  0  0 1 | *  *  * 1 *  * * | 0  0 3 0 0 | 0 3 0
.xo3.oo .ox ... ...&#x  0 3 2 | 0 0 3  6 1 | 0 0  0 1  6  3 0 |  0 0  0 0 2  3  0 0 | *  *  * * 6  * * | 1  0 0 2 0 | 2 0 1
.xo ... .ox3.oo ...&#x  0 2 3 | 0 0 1  6 3 | 0 0  0 0  3  6 1 |  0 0  0 0 0  3  2 0 | *  *  * * * 12 * | 0  1 0 1 1 | 1 1 1
... ... .ox3.oo3.oo&#x  0 1 4 | 0 0 0  4 6 | 0 0  0 0  0  6 4 |  0 0  0 0 0  0  4 1 | *  *  * * *  * 3 | 0  0 1 0 2 | 0 2 1
-----------------------+-------+------------+------------------+---------------------+------------------+------------+------
oxo3ooo oox ... ...&#x  1 3 2 | 3 2 3  6 1 | 3 1  6 1  6  3 0 |  6 1  3 0 2  3  0 0 | 2  3  0 0 1  0 0 | 6  * * * * | 2 0 0
oxo ... oox3ooo ...&#x  1 2 3 | 2 3 1  6 3 | 1 3  6 0  3  6 1 |  3 0  6 1 0  3  2 0 | 0  3  2 0 0  1 0 | * 12 * * * | 1 1 0
... ... oox3ooo3ooo&#x  1 1 4 | 1 4 0  4 6 | 0 6  4 0  0  6 4 |  0 0  6 4 0  0  4 1 | 0  0  4 1 0  0 1 | *  * 3 * * | 0 2 0
.xo3.oo .ox3.oo ...&#x  0 3 3 | 0 0 3  9 3 | 0 0  0 1  9  9 1 |  0 0  0 0 3  9  3 0 | 0  0  0 0 3  3 0 | *  * * 4 * | 1 0 1
.xo ... .ox3.oo3.oo&#x  0 2 4 | 0 0 1  8 6 | 0 0  0 0  4 12 4 |  0 0  0 0 0  6  8 1 | 0  0  0 0 0  4 2 | *  * * * 3 | 0 1 1
-----------------------+-------+------------+------------------+---------------------+------------------+------------+------
oxo3ooo oox3ooo ...&#x  1 3 3 | 3 3 3  9 3 | 3 3  9 1  9  9 1 |  9 1  9 1 3  9  3 0 | 3  9  3 0 3  3 0 | 3  3 0 1 0 | 4 * *
oxo ... oox3ooo3ooo&#x  1 2 4 | 2 4 1  8 6 | 1 6  8 0  4 12 4 |  4 0 12 4 0  6  8 1 | 0  6  8 1 0  4 2 | 0  4 2 0 1 | * 3 *
.xo3.oo .ox3.oo3.oo&#x  0 3 4 | 0 0 3 12 6 | 0 0  0 1 12 18 4 |  0 0  0 0 4 18 12 1 | 0  0  0 0 6 12 3 | 0  0 0 4 3 | * * 1

oxo xoo3ooo oox3ooo&#x   → height(1,2) = height(2,3) = sqrt(5/12) = 0.645497
                           height(1,3) = 1/sqrt(3) = 0.577350
( (line || {3}) || perp {3})

o.. o..3o.. o..3o..    | 3 * *  2 2 3 0 0 0 | 1 1 4 6 3  6 0 0 0 | 3 2 12 2 3 6  6 1 0 0 | 6 1 3 6 3 12 2 2 0 | 3 6 1 6 1 4 | 3 2 2
.o. .o.3.o. .o.3.o.    | * 2 *  0 3 0 1 3 0 | 0 3 3 0 0  9 3 3 0 | 9 3  9 1 0 0  9 0 3 1 | 9 1 9 3 0  9 0 3 1 | 3 9 3 3 0 3 | 3 3 1
..o ..o3..o ..o3..o    | * * 3  0 0 3 0 2 2 | 0 0 0 3 6  6 1 4 1 | 3 0  6 0 1 6 12 3 2 2 | 3 0 6 2 2 12 3 6 1 | 1 6 3 4 1 6 | 2 3 2
-----------------------+-------+-------------+--------------------+-----------------------+--------------------+-------------+------
... x.. ... ... ...    | 2 0 0 | 3 * * * * *  1 0 2 3 0  0 0 0 0 | 0 1  6 2 3 3  0 0 0 0 | 3 1 0 6 3  6 1 0 0 | 3 3 0 6 1 2 | 3 1 2
oo. oo.3oo. oo.3oo.&#x | 1 1 0 | * 6 * * * *  0 1 2 0 0  3 0 0 0 | 3 2  6 1 0 0  3 0 0 0 | 6 1 3 3 0  6 0 1 0 | 3 6 1 3 0 2 | 3 2 1
o.o o.o3o.o o.o3o.o&#x | 1 0 1 | * * 9 * * *  0 0 0 2 2  2 0 0 0 | 1 0  4 0 1 4  4 1 0 0 | 2 0 2 2 2  8 2 2 0 | 1 4 1 4 1 4 | 2 2 2
.x. ... ... ... ...    | 0 2 0 | * * * 1 * *  0 3 0 0 0  0 3 0 0 | 9 3  0 0 0 0  0 0 3 0 | 9 1 9 0 0  0 0 0 1 | 3 9 3 0 0 0 | 3 3 0
.oo .oo3.oo .oo3.oo&#x | 0 1 1 | * * * * 6 *  0 0 0 0 0  3 1 2 0 | 3 0  3 0 0 0  6 0 2 1 | 3 0 6 1 0  6 0 3 1 | 1 6 3 2 0 3 | 2 3 1
... ... ... ..x ...    | 0 0 2 | * * * * * 3  0 0 0 0 3  0 0 2 1 | 0 0  0 0 0 3  6 3 1 2 | 0 0 3 0 1  6 3 6 1 | 0 3 3 2 1 6 | 1 3 2
-----------------------+-------+-------------+--------------------+-----------------------+--------------------+-------------+------
... x..3o.. ... ...    | 3 0 0 | 3 0 0 0 0 0 | 1 * * * *  * * * *  0 0  0 2 3 0  0 0 0 0 | 0 1 0 6 3  0 0 0 0 | 3 0 0 6 1 0 | 3 0 2
ox. ... ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * 3 * * *  * * * *  3 2  0 0 0 0  0 0 0 0 | 6 1 3 0 0  0 0 0 0 | 3 6 1 0 0 0 | 3 2 0
... xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * * 6 * *  * * * *  0 1  3 1 0 0  0 0 0 0 | 3 1 0 3 0  3 0 0 0 | 3 3 0 3 0 1 | 3 1 1
... x.o ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 9 *  * * * *  0 0  2 0 1 2  0 0 0 0 | 1 0 0 2 2  4 1 0 0 | 1 2 0 4 1 2 | 2 1 2
... ... ... o.x ...&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 9  * * * *  0 0  0 0 0 2  2 1 0 0 | 0 0 1 0 1  4 2 2 0 | 0 2 1 2 1 4 | 1 2 2
ooo ooo3ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 18 * * *  1 0  2 0 0 0  2 0 0 0 | 2 0 2 1 0  4 0 1 0 | 1 4 1 2 0 2 | 2 2 1
.xo ... ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * *  * 3 * *  3 0  0 0 0 0  0 0 2 0 | 3 0 6 0 0  0 0 0 1 | 1 6 3 0 0 0 | 2 3 0
... ... ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * *  * * 6 *  0 0  0 0 0 0  3 0 1 1 | 0 0 3 0 0  3 0 3 1 | 0 3 3 1 0 3 | 1 3 1
... ... ... ..x3..o    | 0 0 3 | 0 0 0 0 0 3 | * * * * *  * * * 1  0 0  0 0 0 0  0 3 0 2 | 0 0 0 0 0  0 3 6 1 | 0 0 3 0 1 6 | 0 3 2
-----------------------+-------+-------------+--------------------+-----------------------+--------------------+-------------+------
oxo ... ... ... ...&#x  1 2 1 | 0 2 1 1 2 0 | 0 1 0 0 0  2 1 0 0 | 9 *  * * * *  * * * *  2 0 2 0 0  0 0 0 0 | 1 4 1 0 0 0 | 2 2 0
ox. xo. ... ... ...&#x  2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0  0 0 0 0 | * 3  * * * *  * * * *  3 1 0 0 0  0 0 0 0 | 3 3 0 0 0 0 | 3 1 0
... xoo ... ... ...&#x  2 1 1 | 1 2 2 0 1 0 | 0 0 1 1 0  2 0 0 0 | * * 18 * * *  * * * *  1 0 0 1 0  2 0 0 0 | 1 2 0 2 0 1 | 2 1 1
... xo.3oo. ... ...&#x  3 1 0 | 3 3 0 0 0 0 | 1 0 3 0 0  0 0 0 0 | * *  * 2 * *  * * * *  0 1 0 3 0  0 0 0 0 | 3 0 0 3 0 0 | 3 0 1
... x.o3o.o ... ...&#x  3 0 1 | 3 0 3 0 0 0 | 1 0 0 3 0  0 0 0 0 | * *  * * 3 *  * * * *  0 0 0 2 2  0 0 0 0 | 1 0 0 4 1 0 | 2 0 2
... x.o ... o.x ...&#x  2 0 2 | 1 0 4 0 0 1 | 0 0 0 2 2  0 0 0 0 | * *  * * * 9  * * * *  0 0 0 0 1  2 1 0 0 | 0 1 0 2 1 2 | 1 1 2
... ... ... oox ...&#x  1 1 2 | 0 1 2 0 2 1 | 0 0 0 0 1  2 0 1 0 | * *  * * * * 18 * * *  0 0 1 0 0  2 0 1 0 | 0 2 1 1 0 2 | 1 2 1
... ... ... o.x3o.o&#x  1 0 3 | 0 0 3 0 0 3 | 0 0 0 0 3  0 0 0 1 | * *  * * * *  * 3 * *  0 0 0 0 0  0 2 2 0 | 0 0 1 0 1 4 | 0 2 2
.xo ... ... .ox ...&#x  0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0  0 2 2 0 | * *  * * * *  * * 3 *  0 0 3 0 0  0 0 0 1 | 0 3 3 0 0 0 | 1 3 0
... ... ... .ox3.oo&#x  0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0  0 0 3 1 | * *  * * * *  * * * 2  0 0 0 0 0  0 0 3 1 | 0 0 3 0 0 3 | 0 3 1
-----------------------+-------+-------------+--------------------+-----------------------+--------------------+-------------+------
oxo xoo ... ... ...&#x  2 2 1 | 1 4 2 1 2 0 | 0 2 2 1 0  4 1 0 0 | 2 1  2 0 0 0  0 0 0 0 | 9 * * * *  * * * * | 1 2 0 0 0 0 | 2 1 0
ox. xo.3oo. ... ...&#x  3 2 0 | 3 6 0 1 0 0 | 1 3 6 0 0  0 0 0 0 | 0 3  0 2 0 0  0 0 0 0 | * 1 * * *  * * * * | 3 0 0 0 0 0 | 3 0 0
oxo ... ... oox ...&#x  1 2 2 | 0 2 2 1 4 1 | 0 1 0 0 1  4 2 2 0 | 2 0  0 0 0 0  2 0 1 0 | * * 9 * *  * * * * | 0 2 1 0 0 0 | 1 2 0
... xoo3ooo ... ...&#x  3 1 1 | 3 3 3 0 1 0 | 1 0 3 3 0  3 0 0 0 | 0 0  3 1 1 0  0 0 0 0 | * * * 6 *  * * * * | 1 0 0 2 0 0 | 2 0 1
... x.o3o.o o.x ...&#x  3 0 2 | 3 0 6 0 0 1 | 1 0 0 6 3  0 0 0 0 | 0 0  0 0 2 3  0 0 0 0 | * * * * 3  * * * * | 0 0 0 2 1 0 | 1 0 2
... xoo ... oox ...&#x  2 1 2 | 1 2 4 0 2 1 | 0 0 1 2 2  4 0 1 0 | 0 0  2 0 0 1  2 0 0 0 | * * * * * 18 * * * | 0 1 0 1 0 1 | 1 1 1
... x.o ... o.x3o.o&#x  2 0 3 | 1 0 6 0 0 3 | 0 0 0 3 6  0 0 0 1 | 0 0  0 0 0 3  0 2 0 0 | * * * * *  * 3 * * | 0 0 0 0 1 2 | 0 1 2
... ... ... oox3ooo&#x  1 1 3 | 0 1 3 0 3 3 | 0 0 0 0 3  3 0 3 1 | 0 0  0 0 0 0  3 1 0 1 | * * * * *  * * 6 * | 0 0 1 0 0 2 | 0 2 1
.xo ... ... .ox3.oo&#x  0 2 3 | 0 0 0 1 6 3 | 0 0 0 0 0  0 3 6 1 | 0 0  0 0 0 0  0 0 3 2 | * * * * *  * * * 1 | 0 0 3 0 0 0 | 0 3 0
-----------------------+-------+-------------+--------------------+-----------------------+--------------------+-------------+------
oxo xoo3ooo ... ...&#x  3 2 1 | 3 6 3 1 2 0 | 1 3 6 3 0  6 1 0 0 | 3 3  6 2 1 0  0 0 0 0 | 3 1 0 2 0  0 0 0 0 | 3 * * * * * | 2 0 0
oxo xoo ... oox ...&#x  2 2 2 | 1 4 4 1 4 1 | 0 2 2 2 2  8 2 2 0 | 4 1  4 0 0 1  4 0 1 0 | 2 0 2 0 0  2 0 0 0 | * 9 * * * * | 1 1 0
oxo ... ... oox3ooo&#x  1 2 3 | 0 2 3 1 6 3 | 0 1 0 0 3  6 3 6 1 | 3 0  0 0 0 0  6 1 3 2 | 0 0 3 0 0  0 0 2 1 | * * 3 * * * | 0 2 0
... xoo3ooo oox ...&#x  3 1 2 | 3 3 6 0 2 1 | 1 0 3 6 3  6 0 1 0 | 0 0  6 1 2 3  3 0 0 0 | 0 0 0 2 1  3 0 0 0 | * * * 6 * * | 1 0 1
... x.o3o.o o.x3o.o&#x  3 0 3 | 3 0 9 0 0 3 | 1 0 0 9 9  0 0 0 1 | 0 0  0 0 3 9  0 3 0 0 | 0 0 0 0 3  0 3 0 0 | * * * * 1 * | 0 0 2
... xoo ... oox3ooo&#x  2 1 3 | 1 2 6 0 3 3 | 0 0 1 3 6  6 0 3 1 | 0 0  3 0 0 3  6 2 0 1 | 0 0 0 0 0  3 1 2 0 | * * * * * 6 | 0 1 1
-----------------------+-------+-------------+--------------------+-----------------------+--------------------+-------------+------
oxo xoo3ooo oox ...&#x  3 2 2 | 3 6 6 1 4 1 | 1 3 6 6 3 12 2 2 0 | 6 3 12 2 2 3  6 0 1 0 | 6 1 3 4 1  6 0 0 0 | 2 3 0 2 0 0 | 3 * *
oxo xoo ... oox3ooo&#x  2 2 3 | 1 4 6 1 6 3 | 0 2 2 3 6 12 3 6 1 | 6 1  6 0 0 3 12 2 3 2 | 3 0 6 0 0  6 1 4 1 | 0 3 2 0 0 2 | * 3 *
... xoo3ooo oox3ooo&#x  3 1 3 | 3 3 9 0 3 3 | 1 0 3 9 9  9 0 3 1 | 0 0  9 1 3 9  9 3 0 1 | 0 0 0 3 3  9 3 3 0 | 0 0 0 3 1 3 | * * 2

xoo oxo3ooo3ooo oox&#x   → height(1,2) = height(2,3) = sqrt(3/8) = 0.612372
                           height(1,3) = 1/sqrt(2) = 0.707107
( (line || perp line) || perp tet)

o.. o..3o..3o.. o..    | 2 * *  1 4 2 0 0 0 | 4  6 2 1  8 0  0 0 | 4 3 1 12 4 4 0 0 0 | 12 4 4  8 1  6 0 0 | 8 1 6 2 4 0 | 2 4 1
.o. .o.3.o.3.o. .o.    | * 4 *  0 2 0 3 2 0 | 1  6 0 0  4 3  6 1 | 2 3 0 12 6 2 1 6 3 |  6 3 1 12 2  6 2 3 | 6 1 3 4 6 1 | 2 3 2
..o ..o3..o3..o ..o    | * * 2  0 0 2 0 4 1 | 0  0 1 2  8 0  6 4 | 4 0 1 12 0 8 0 4 6 |  6 0 4  8 0 12 1 4 | 4 0 6 2 8 1 | 1 4 2
-----------------------+-------+-------------+--------------------+--------------------+--------------------+-------------+------
x.. ... ... ... ...    | 2 0 0 | 1 * * * * *  4  0 2 0  0 0  0 0 | 8 6 1  0 0 0 0 0 0 | 12 4 4  0 0  0 0 0 | 8 1 6 0 0 0 | 2 4 0
oo. oo.3oo.3oo. oo.&#x | 1 1 0 | * 8 * * * *  1  3 0 0  2 0  0 0 | 2 3 0  6 3 1 0 0 0 |  6 3 1  6 1  3 0 0 | 6 1 3 2 3 0 | 2 3 1
o.o o.o3o.o3o.o o.o&#x | 1 0 1 | * * 4 * * *  0  0 1 1  4 0  0 0 | 4 0 1  6 0 4 0 0 0 |  6 0 4  4 0  6 0 0 | 4 0 6 1 4 0 | 1 4 1
... .x. ... ... ...    | 0 2 0 | * * * 6 * *  0  2 0 0  0 2  2 0 | 0 1 0  4 4 0 1 4 1 |  2 2 0  8 2  2 2 2 | 4 1 1 4 4 1 | 2 2 2
.oo .oo3.oo3.oo .oo&#x | 0 1 1 | * * * * 8 *  0  0 0 0  2 0  3 1 | 1 0 0  6 0 2 0 3 3 |  3 0 1  6 0  6 1 3 | 3 0 3 2 6 1 | 1 3 2
... ... ... ... ..x    | 0 0 2 | * * * * * 1  0  0 0 2  0 0  0 4 | 0 0 1  0 0 8 0 0 6 |  0 0 4  0 0 12 0 4 | 0 0 6 0 8 1 | 0 4 2
-----------------------+-------+-------------+--------------------+--------------------+--------------------+-------------+------
xo. ... ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 4  * * *  * *  * *  2 4 0  0 0 0 0 0 0 |  6 3 1  0 0  0 0 0 | 6 1 3 0 0 0 | 2 3 0
... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * 12 * *  * *  * *  0 1 0  2 2 0 0 0 0 |  2 2 0  2 1  1 0 0 | 4 1 1 2 2 0 | 2 2 1
x.o ... ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | *  * 2 *  * *  * *  4 0 1  0 0 0 0 0 0 |  6 0 4  0 0  0 0 0 | 4 0 6 0 0 0 | 1 4 0
... ... ... ... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | *  * * 2  * *  * *  0 0 1  0 0 4 0 0 0 |  0 0 4  0 0  6 0 0 | 0 0 6 0 4 0 | 0 4 1
ooo ooo3ooo3ooo ooo&#x | 1 1 1 | 0 1 1 0 1 0 | *  * * * 16 *  * *  1 0 0  3 0 1 0 0 0 |  3 0 1  3 0  3 0 0 | 3 0 3 1 3 0 | 1 3 1
... .x.3.o. ... ...    | 0 3 0 | 0 0 0 3 0 0 | *  * * *  * 4  * *  0 0 0  0 2 0 1 2 0 |  0 1 0  4 2  0 2 1 | 2 1 0 4 2 1 | 2 1 2
... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | *  * * *  * * 12 *  0 0 0  2 0 0 0 2 1 |  1 0 0  4 0  2 1 2 | 2 0 1 2 4 1 | 1 2 2
... ... ... ... .ox&#x | 0 1 2 | 0 0 0 0 2 1 | *  * * *  * *  * 4  0 0 0  0 0 2 0 0 3 |  0 0 1  0 0  6 0 3 | 0 0 3 0 6 1 | 0 3 2
-----------------------+-------+-------------+--------------------+--------------------+--------------------+-------------+------
xoo ... ... ... ...&#x  2 1 1 | 1 2 2 0 1 0 | 1  0 1 0  2 0  0 0 | 8 * *  * * * * * *   3 0 1  0 0  0 0 0 | 3 0 3 0 0 0 | 1 3 0
xo. ox. ... ... ...&#x  2 2 0 | 1 4 0 1 0 0 | 2  2 0 0  0 0  0 0 | * 6 *  * * * * * *   2 2 0  0 0  0 0 0 | 4 1 1 0 0 0 | 2 2 0
x.o ... ... ... o.x&#x  2 0 2 | 1 0 4 0 0 1 | 0  0 2 2  0 0  0 0 | * * 1  * * * * * *   0 0 4  0 0  0 0 0 | 0 0 6 0 0 0 | 0 4 0
... oxo ... ... ...&#x  1 2 1 | 0 2 1 1 2 0 | 0  1 0 0  2 0  1 0 | * * * 24 * * * * *   1 0 0  2 0  1 0 0 | 2 0 1 1 2 0 | 1 2 1
... ox.3oo. ... ...&#x  1 3 0 | 0 3 0 3 0 0 | 0  3 0 0  0 1  0 0 | * * *  * 8 * * * *   0 1 0  2 1  0 0 0 | 2 1 0 2 1 0 | 2 1 1
... ... ... ... oox&#x  1 1 2 | 0 1 2 0 2 1 | 0  0 0 1  2 0  0 1 | * * *  * * 8 * * *   0 0 1  0 0  3 0 0 | 0 0 3 0 3 0 | 0 3 1
... .x.3.o.3.o. ...     0 4 0 | 0 0 0 6 0 0 | 0  0 0 0  0 4  0 0 | * * *  * * * 1 * *   0 0 0  0 2  0 2 0 | 0 1 0 4 0 1 | 2 0 2
... .xo3.oo ... ...&#x  0 3 1 | 0 0 0 3 3 0 | 0  0 0 0  0 1  3 0 | * * *  * * * * 8 *   0 0 0  2 0  0 1 1 | 1 0 0 2 2 1 | 1 1 2
... .xo ... ... .ox&#x  0 2 2 | 0 0 0 1 4 1 | 0  0 0 0  0 0  2 2 | * * *  * * * * * 6   0 0 0  0 0  2 0 2 | 0 0 1 0 4 1 | 0 2 2
-----------------------+-------+-------------+--------------------+--------------------+--------------------+-------------+------
xoo oxo ... ... ...&#x  2 2 1 | 1 4 2 1 2 0 | 2  2 1 0  4 0  1 0 | 2 1 0  2 0 0 0 0 0 | 12 * *  * *  * * * | 2 0 1 0 0 0 | 1 2 0
xo. ox.3oo. ... ...&#x  2 3 0 | 1 6 0 3 0 0 | 3  6 0 0  0 1  0 0 | 0 3 0  0 2 0 0 0 0 |  * 4 *  * *  * * * | 2 1 0 0 0 0 | 2 1 0
xoo ... ... ... oox&#x  2 1 2 | 1 2 4 0 2 1 | 1  0 2 2  4 0  0 1 | 2 0 1  0 0 2 0 0 0 |  * * 4  * *  * * * | 0 0 3 0 0 0 | 0 3 0
... oxo3ooo ... ...&#x  1 3 1 | 0 3 1 3 3 0 | 0  3 0 0  3 1  3 0 | 0 0 0  3 1 0 0 1 0 |  * * * 16 *  * * * | 1 0 0 1 1 0 | 1 1 1
... ox.3oo.3oo. ...&#x  1 4 0 | 0 4 0 6 0 0 | 0  6 0 0  0 4  0 0 | 0 0 0  0 4 0 1 0 0 |  * * *  * 2  * * * | 0 1 0 2 0 0 | 2 0 1
... oxo ... ... oox&#x  1 2 2 | 0 2 2 1 4 1 | 0  1 0 1  4 0  2 2 | 0 0 0  2 0 2 0 0 1 |  * * *  * * 12 * * | 0 0 1 0 2 0 | 0 2 1
... .xo3.oo3.oo ...&#x  0 4 1 | 0 0 0 6 4 0 | 0  0 0 0  0 4  6 0 | 0 0 0  0 0 0 1 4 0 |  * * *  * *  * 2 * | 0 0 0 2 0 1 | 1 0 2
... .xo3.oo ... .ox&#x  0 3 2 | 0 0 0 3 6 1 | 0  0 0 0  0 1  6 3 | 0 0 0  0 0 0 0 2 3 |  * * *  * *  * * 4 | 0 0 0 0 2 1 | 0 1 2
-----------------------+-------+-------------+--------------------+--------------------+--------------------+-------------+------
xoo oxo3ooo ... ...&#x  2 3 1 | 1 6 2 3 3 0 | 3  6 1 0  6 1  3 0 | 3 3 0  6 2 0 0 1 0 |  3 1 0  2 0  0 0 0 | 8 * * * * * | 1 1 0
xo. ox.3oo.3oo. ...&#x  2 4 0 | 1 8 0 6 0 0 | 4 12 0 0  0 4  0 0 | 0 6 0  0 8 0 1 0 0 |  0 4 0  0 2  0 0 0 | * 1 * * * * | 2 0 0
xoo oxo ... ... oox&#x  2 2 2 | 1 4 4 1 4 1 | 2  2 2 2  8 0  2 2 | 4 1 1  4 0 4 0 0 1 |  2 0 2  0 0  2 0 0 | * * 6 * * * | 0 2 0
... oxo3ooo3ooo ...&#x  1 4 1 | 0 4 1 6 4 0 | 0  6 0 0  4 4  6 0 | 0 0 0  6 4 0 1 4 0 |  0 0 0  4 1  0 1 0 | * * * 4 * * | 1 0 1
... oxo3ooo ... oox&#x  1 3 2 | 0 3 2 3 6 1 | 0  3 0 1  6 1  6 3 | 0 0 0  6 1 3 0 2 3 |  0 0 0  2 0  3 0 1 | * * * * 8 * | 0 1 1
... .xo3.oo3.oo .ox&#x  0 4 2 | 0 0 0 6 8 1 | 0  0 0 0  0 4 12 4 | 0 0 0  0 0 0 1 8 6 |  0 0 0  0 0  0 2 4 | * * * * * 1 | 0 0 2
-----------------------+-------+-------------+--------------------+--------------------+--------------------+-------------+------
xoo oxo3ooo3ooo ...&#x  2 4 1 | 1 8 2 6 4 0 | 4 12 1 0  8 4  6 0 | 4 6 0 12 8 0 1 4 0 |  6 4 0  8 2  0 1 0 | 4 1 0 2 0 0 | 2 * *
xoo oxo3ooo ... oox&#x  2 3 2 | 1 6 4 3 6 1 | 3  6 2 2 12 1  6 3 | 6 3 1 12 2 6 0 2 3 |  6 1 3  4 0  6 0 1 | 2 0 3 0 2 0 | * 4 *
... oxo3ooo3ooo oox&#x  1 4 2 | 0 4 2 6 8 1 | 0  6 0 1  8 4 12 4 | 0 0 0 12 4 4 1 8 6 |  0 0 0  8 1  6 2 4 | 0 0 0 2 4 1 | * * 2

oxoo3ooo ooxo3oooo&#x   → height(1,4) = 1
                          height(1,2) = height(1,3) = height(2,4) = height(3,4) = sqrt(2/3) = 0.816497
                          height(2,3) = 1/sqrt(3) = 0.577350
( pt || ( pt || ( {3} || ortho {3} )))

o...3o... o...3o...    | 1 * * *  3 3 1 0 0 0 0 0 | 3 9 3 3 3 0 0 0 0 0 0 0 | 1 9 3 9 9 1 3 0 0 0 0 0 0 0 | 3 1 9 9 3 9 1 0 0 0 0 0 | 3 3 3 9 3 0 0 0 | 1 3 3 0
.o..3.o.. .o..3.o..    | * 3 * *  1 0 0 2 3 1 0 0 | 2 3 1 0 0 1 6 2 3 3 0 0 | 1 6 2 3 3 0 0 3 1 6 6 1 3 0 | 3 1 6 6 1 3 0 3 3 2 6 1 | 3 3 2 6 1 1 3 2 | 1 3 2 1
..o.3..o. ..o.3..o.    | * * 3 *  0 1 0 0 3 0 2 1 | 0 3 0 2 1 0 3 0 6 3 1 2 | 0 3 0 6 3 1 2 1 0 6 3 3 6 1 | 1 0 6 3 3 6 1 2 1 3 6 3 | 2 1 3 6 3 1 2 3 | 1 2 3 1
...o3...o ...o3...o    | * * * 1  0 0 1 0 0 3 0 3 | 0 0 3 0 3 0 0 3 0 9 0 3 | 0 0 3 0 9 0 3 0 1 0 9 0 9 1 | 0 1 0 9 0 9 1 0 3 0 9 3 | 0 3 0 9 3 0 3 3 | 0 3 3 1
-----------------------+---------+-----------------+-------------------------+-----------------------------+-------------------------+-----------------+--------
oo..3oo.. oo..3oo..&#x | 1 1 0 0 | 3 * * * * * * *  2 3 1 0 0 0 0 0 0 0 0 0 | 1 6 2 3 3 0 0 0 0 0 0 0 0 0 | 3 1 6 6 1 3 0 0 0 0 0 0 | 3 3 2 6 1 0 0 0 | 1 3 2 0
o.o.3o.o. o.o.3o.o.&#x | 1 0 1 0 | * 3 * * * * * *  0 3 0 2 1 0 0 0 0 0 0 0 | 0 3 0 6 3 1 2 0 0 0 0 0 0 0 | 1 0 6 3 3 6 1 0 0 0 0 0 | 2 1 3 6 3 0 0 0 | 1 2 3 0
o..o3o..o o..o3o..o&#x | 1 0 0 1 | * * 1 * * * * *  0 0 3 0 3 0 0 0 0 0 0 0 | 0 0 3 0 9 0 3 0 0 0 0 0 0 0 | 0 1 0 9 0 9 1 0 0 0 0 0 | 0 3 0 9 3 0 0 0 | 0 3 3 0
.x.. .... .... ....    | 0 2 0 0 | * * * 3 * * * *  1 0 0 0 0 1 3 1 0 0 0 0 | 1 3 1 0 0 0 0 3 1 3 3 0 0 0 | 3 1 3 3 0 0 0 3 3 1 3 0 | 3 3 1 3 0 1 3 1 | 1 3 1 1
.oo.3.oo. .oo.3.oo.&#x | 0 1 1 0 | * * * * 9 * * *  0 1 0 0 0 0 2 0 2 1 0 0 | 0 2 0 2 1 0 0 1 0 4 2 1 2 0 | 1 0 4 2 1 2 0 2 1 2 4 1 | 2 1 2 4 1 1 2 2 | 1 2 2 1
.o.o3.o.o .o.o3.o.o&#x | 0 1 0 1 | * * * * * 3 * *  0 0 1 0 0 0 0 2 0 3 0 0 | 0 0 2 0 3 0 0 0 1 0 6 0 3 0 | 0 1 0 6 0 3 0 0 3 0 6 1 | 0 3 0 6 1 0 3 2 | 0 3 2 1
.... .... ..x. ....    | 0 0 2 0 | * * * * * * 3 *  0 0 0 1 0 0 0 0 3 0 1 1 | 0 0 0 3 0 1 1 0 0 3 0 3 3 1 | 0 0 3 0 3 3 1 1 0 3 3 3 | 1 0 3 3 3 1 1 3 | 1 1 3 1
..oo3..oo ..oo3..oo&#x | 0 0 1 1 | * * * * * * * 3  0 0 0 0 1 0 0 0 0 3 0 2 | 0 0 0 0 3 0 2 0 0 0 3 0 6 1 | 0 0 0 3 0 6 1 0 1 0 6 3 | 0 1 0 6 3 0 2 3 | 0 2 3 1
-----------------------+---------+-----------------+-------------------------+-----------------------------+-------------------------+-----------------+--------
ox.. .... .... ....&#x | 1 2 0 0 | 2 0 0 1 0 0 0 0 | 3 * * * * * * * * * * *  1 3 1 0 0 0 0 0 0 0 0 0 0 0 | 3 1 3 3 0 0 0 0 0 0 0 0 | 3 3 1 3 0 0 0 0 | 1 3 1 0
ooo.3ooo. ooo.3ooo.&#x | 1 1 1 0 | 1 1 0 0 1 0 0 0 | * 9 * * * * * * * * * *  0 2 0 2 1 0 0 0 0 0 0 0 0 0 | 1 0 4 2 1 2 0 0 0 0 0 0 | 2 1 2 4 1 0 0 0 | 1 2 2 0
oo.o3oo.o oo.o3oo.o&#x | 1 1 0 1 | 1 0 1 0 0 1 0 0 | * * 3 * * * * * * * * *  0 0 2 0 3 0 0 0 0 0 0 0 0 0 | 0 1 0 6 0 3 0 0 0 0 0 0 | 0 3 0 6 1 0 0 0 | 0 3 2 0
.... .... o.x. ....&#x | 1 0 2 0 | 0 2 0 0 0 0 1 0 | * * * 3 * * * * * * * *  0 0 0 3 0 1 1 0 0 0 0 0 0 0 | 0 0 3 0 3 3 1 0 0 0 0 0 | 1 0 3 3 3 0 0 0 | 1 1 3 0
o.oo3o.oo o.oo3o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 0 1 | * * * * 3 * * * * * * *  0 0 0 0 3 0 2 0 0 0 0 0 0 0 | 0 0 0 3 0 6 1 0 0 0 0 0 | 0 1 0 6 3 0 0 0 | 0 2 3 0
.x..3.o.. .... ....    | 0 3 0 0 | 0 0 0 3 0 0 0 0 | * * * * * 1 * * * * * *  1 0 0 0 0 0 0 3 1 0 0 0 0 0 | 3 1 0 0 0 0 0 3 3 0 0 0 | 3 3 0 0 0 1 3 0 | 1 3 0 1
.xo. .... .... ....&#x | 0 2 1 0 | 0 0 0 1 2 0 0 0 | * * * * * * 9 * * * * *  0 1 0 0 0 0 0 1 0 2 1 0 0 0 | 1 0 2 1 0 0 0 2 1 1 2 0 | 2 1 1 2 0 1 2 1 | 1 2 1 1
.x.o .... .... ....&#x | 0 2 0 1 | 0 0 0 1 0 2 0 0 | * * * * * * * 3 * * * *  0 0 1 0 0 0 0 0 1 0 3 0 0 0 | 0 1 0 3 0 0 0 0 3 0 3 0 | 0 3 0 3 0 0 3 1 | 0 3 1 1
.... .... .ox. ....&#x | 0 1 2 0 | 0 0 0 0 2 0 1 0 | * * * * * * * * 9 * * *  0 0 0 1 0 0 0 0 0 2 0 1 1 0 | 0 0 2 0 1 1 0 1 0 2 2 1 | 1 0 2 2 1 1 1 2 | 1 1 2 1
.ooo3.ooo .ooo3.ooo&#x | 0 1 1 1 | 0 0 0 0 1 1 0 1 | * * * * * * * * * 9 * *  0 0 0 0 1 0 0 0 0 0 2 0 2 0 | 0 0 0 2 0 2 0 0 1 0 4 1 | 0 1 0 4 1 0 2 2 | 0 2 2 1
.... .... ..x.3..o.    | 0 0 3 0 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * 1 *  0 0 0 0 0 1 0 0 0 0 0 3 0 1 | 0 0 0 0 3 0 1 0 0 3 0 3 | 0 0 3 0 3 1 0 3 | 1 0 3 1
.... .... ..xo ....&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 | * * * * * * * * * * * 3  0 0 0 0 0 0 1 0 0 0 0 0 3 1 | 0 0 0 0 0 3 1 0 0 0 3 3 | 0 0 0 3 3 0 1 3 | 0 1 3 1
-----------------------+---------+-----------------+-------------------------+-----------------------------+-------------------------+-----------------+--------
ox..3oo.. .... ....&#x  1 3 0 0 | 3 0 0 3 0 0 0 0 | 3 0 0 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * * * *  3 1 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 | 1 3 0 0
oxo. .... .... ....&#x  1 2 1 0 | 2 1 0 1 2 0 0 0 | 1 2 0 0 0 0 1 0 0 0 0 0 | * 9 * * * * * * * * * * * *  1 0 2 1 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 | 1 2 1 0
ox.o .... .... ....&#x  1 2 0 1 | 2 0 1 1 0 2 0 0 | 1 0 2 0 0 0 0 1 0 0 0 0 | * * 3 * * * * * * * * * * *  0 1 0 3 0 0 0 0 0 0 0 0 | 0 3 0 3 0 0 0 0 | 0 3 1 0
.... .... oox. ....&#x  1 1 2 0 | 1 2 0 0 2 0 1 0 | 0 2 0 1 0 0 0 0 1 0 0 0 | * * * 9 * * * * * * * * * *  0 0 2 0 1 1 0 0 0 0 0 0 | 1 0 2 2 1 0 0 0 | 1 1 2 0
oooo3oooo oooo3oooo&#x  1 1 1 1 | 1 1 1 0 1 1 0 1 | 0 1 1 0 1 0 0 0 0 1 0 0 | * * * * 9 * * * * * * * * *  0 0 0 2 0 2 0 0 0 0 0 0 | 0 1 0 4 1 0 0 0 | 0 2 2 0
.... .... o.x.3o.o.&#x  1 0 3 0 | 0 3 0 0 0 0 3 0 | 0 0 0 3 0 0 0 0 0 0 1 0 | * * * * * 1 * * * * * * * *  0 0 0 0 3 0 1 0 0 0 0 0 | 0 0 3 0 3 0 0 0 | 1 0 3 0
.... .... o.xo ....&#x  1 0 2 1 | 0 2 1 0 0 0 1 2 | 0 0 0 1 2 0 0 0 0 0 0 1 | * * * * * * 3 * * * * * * *  0 0 0 0 0 3 1 0 0 0 0 0 | 0 0 0 3 3 0 0 0 | 0 1 3 0
.xo.3.oo. .... ....&#x  0 3 1 0 | 0 0 0 3 3 0 0 0 | 0 0 0 0 0 1 3 0 0 0 0 0 | * * * * * * * 3 * * * * * *  1 0 0 0 0 0 0 2 1 0 0 0 | 2 1 0 0 0 1 2 0 | 1 2 0 1
.x.o3.o.o .... ....&#x  0 3 0 1 | 0 0 0 3 0 3 0 0 | 0 0 0 0 0 1 0 3 0 0 0 0 | * * * * * * * * 1 * * * * *  0 1 0 0 0 0 0 0 3 0 0 0 | 0 3 0 0 0 0 3 0 | 0 3 0 1
.xo. .... .ox. ....&#x  0 2 2 0 | 0 0 0 1 4 0 1 0 | 0 0 0 0 0 0 2 0 2 0 0 0 | * * * * * * * * * 9 * * * *  0 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 1 1 | 1 1 1 1
.xoo .... .... ....&#x  0 2 1 1 | 0 0 0 1 2 2 0 1 | 0 0 0 0 0 0 1 1 0 2 0 0 | * * * * * * * * * * 9 * * *  0 0 0 1 0 0 0 0 1 0 2 0 | 0 1 0 2 0 0 2 1 | 0 2 1 1
.... .... .ox.3.oo.&#x  0 1 3 0 | 0 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 0 3 0 1 0 | * * * * * * * * * * * 3 * *  0 0 0 0 1 0 0 0 0 2 0 1 | 0 0 2 0 1 1 0 2 | 1 0 2 1
.... .... .oxo ....&#x  0 1 2 1 | 0 0 0 0 2 1 1 2 | 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * 9 *  0 0 0 0 0 1 0 0 0 0 2 1 | 0 0 0 2 1 0 1 2 | 0 1 2 1
.... .... ..xo3..oo&#x  0 0 3 1 | 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 1 3 | * * * * * * * * * * * * * 1  0 0 0 0 0 0 1 0 0 0 0 3 | 0 0 0 0 3 0 0 3 | 0 0 3 1
-----------------------+---------+-----------------+-------------------------+-----------------------------+-------------------------+-----------------+--------
oxo.3ooo. .... ....&#x  1 3 1 0 | 3 1 0 3 3 0 0 0 | 3 3 0 0 0 1 3 0 0 0 0 0 | 1 3 0 0 0 0 0 1 0 0 0 0 0 0 | 3 * * * * * * * * * * * | 2 1 0 0 0 0 0 0 | 1 2 0 0
ox.o3oo.o .... ....&#x  1 3 0 1 | 3 0 1 3 0 3 0 0 | 3 0 3 0 0 1 0 3 0 0 0 0 | 1 0 3 0 0 0 0 0 1 0 0 0 0 0 | * 1 * * * * * * * * * * | 0 3 0 0 0 0 0 0 | 0 3 0 0
oxo. .... oox. ....&#x  1 2 2 0 | 2 2 0 1 4 0 1 0 | 1 4 0 1 0 0 2 0 2 0 0 0 | 0 2 0 2 0 0 0 0 0 1 0 0 0 0 | * * 9 * * * * * * * * * | 1 0 1 1 0 0 0 0 | 1 1 1 0
oxoo .... .... ....&#x  1 2 1 1 | 2 1 1 1 2 2 0 1 | 1 2 2 0 1 0 1 1 0 2 0 0 | 0 1 1 0 2 0 0 0 0 0 1 0 0 0 | * * * 9 * * * * * * * * | 0 1 0 2 0 0 0 0 | 0 2 1 0
.... .... oox.3ooo.&#x  1 1 3 0 | 1 3 0 0 3 0 3 0 | 0 3 0 3 0 0 0 0 3 0 1 0 | 0 0 0 3 0 1 0 0 0 0 0 1 0 0 | * * * * 3 * * * * * * * | 0 0 2 0 1 0 0 0 | 1 0 2 0
.... .... ooxo ....&#x  1 1 2 1 | 1 2 1 0 2 1 1 2 | 0 2 1 1 2 0 0 0 1 2 0 1 | 0 0 0 1 2 0 1 0 0 0 0 0 1 0 | * * * * * 9 * * * * * * | 0 0 0 2 1 0 0 0 | 0 1 2 0
.... .... o.xo3o.oo&#x  1 0 3 1 | 0 3 1 0 0 0 3 3 | 0 0 0 3 3 0 0 0 0 0 1 3 | 0 0 0 0 0 1 3 0 0 0 0 0 0 1 | * * * * * * 1 * * * * * | 0 0 0 0 3 0 0 0 | 0 0 3 0
.xo.3.oo. .ox. ....&#x  0 3 2 0 | 0 0 0 3 6 0 1 0 | 0 0 0 0 0 1 6 0 3 0 0 0 | 0 0 0 0 0 0 0 2 0 3 0 0 0 0 | * * * * * * * 3 * * * * | 1 0 0 0 0 1 1 0 | 1 1 0 1
.xoo3.ooo .... ....&#x  0 3 1 1 | 0 0 0 3 3 3 0 1 | 0 0 0 0 0 1 3 3 0 3 0 0 | 0 0 0 0 0 0 0 1 1 0 3 0 0 0 | * * * * * * * * 3 * * * | 0 1 0 0 0 0 2 0 | 0 2 0 1
.xo. .... .ox.3.oo.&#x  0 2 3 0 | 0 0 0 1 6 0 3 0 | 0 0 0 0 0 0 3 0 6 0 1 0 | 0 0 0 0 0 0 0 0 0 3 0 2 0 0 | * * * * * * * * * 3 * * | 0 0 1 0 0 1 0 1 | 1 0 1 1
.xoo .... .oxo ....&#x  0 2 2 1 | 0 0 0 1 4 2 1 2 | 0 0 0 0 0 0 2 1 2 4 0 1 | 0 0 0 0 0 0 0 0 0 1 2 0 2 0 | * * * * * * * * * * 9 * | 0 0 0 1 0 0 1 1 | 0 1 1 1
.... .... .oxo3.ooo&#x  0 1 3 1 | 0 0 0 0 3 1 3 3 | 0 0 0 0 0 0 0 0 3 3 1 3 | 0 0 0 0 0 0 0 0 0 0 0 1 3 1 | * * * * * * * * * * * 3 | 0 0 0 0 1 0 0 2 | 0 0 2 1
-----------------------+---------+-----------------+-------------------------+-----------------------------+-------------------------+-----------------+--------
oxo.3ooo. oox. ....&#x  1 3 2 0 | 3 2 0 3 6 0 1 0 | 3 6 0 1 0 1 6 0 3 0 0 0 | 1 6 0 3 0 0 0 2 0 3 0 0 0 0 | 2 0 3 0 0 0 0 1 0 0 0 0 | 3 * * * * * * * | 1 1 0 0
oxoo3oooo .... ....&#x  1 3 1 1 | 3 1 1 3 3 3 0 1 | 3 3 3 0 1 1 3 3 0 3 0 0 | 1 3 3 0 3 0 0 1 1 0 3 0 0 0 | 1 1 0 3 0 0 0 0 1 0 0 0 | * 3 * * * * * * | 0 2 0 0
oxo. .... oox.3ooo.&#x  1 2 3 0 | 2 3 0 1 6 0 3 0 | 1 6 0 3 0 0 3 0 6 0 1 0 | 0 3 0 6 0 1 0 0 0 3 0 2 0 0 | 0 0 3 0 2 0 0 0 0 1 0 0 | * * 3 * * * * * | 1 0 1 0
oxoo .... ooxo ....&#x  1 2 2 1 | 2 2 1 1 4 2 1 2 | 1 4 2 1 2 0 2 1 2 4 0 1 | 0 2 1 2 4 0 1 0 0 1 2 0 2 0 | 0 0 1 2 0 2 0 0 0 0 1 0 | * * * 9 * * * * | 0 1 1 0
.... .... ooxo3oooo&#x  1 1 3 1 | 1 3 1 0 3 1 3 3 | 0 3 1 3 3 0 0 0 3 3 1 3 | 0 0 0 3 3 1 3 0 0 0 0 1 3 1 | 0 0 0 0 1 3 1 0 0 0 0 1 | * * * * 3 * * * | 0 0 2 0
.xo.3.oo. .ox.3.oo.&#x  0 3 3 0 | 0 0 0 3 9 0 3 0 | 0 0 0 0 0 1 9 0 9 0 1 0 | 0 0 0 0 0 0 0 3 0 9 0 3 0 0 | 0 0 0 0 0 0 0 3 0 3 0 0 | * * * * * 1 * * | 1 0 0 1
.xoo3.ooo .oxo ....&#x  0 3 2 1 | 0 0 0 3 6 3 1 2 | 0 0 0 0 0 1 6 3 3 6 0 1 | 0 0 0 0 0 0 0 2 1 3 6 0 3 0 | 0 0 0 0 0 0 0 1 2 0 3 0 | * * * * * * 3 * | 0 1 0 1
.xoo .... .oxo3.ooo&#x  0 2 3 1 | 0 0 0 1 6 2 3 3 | 0 0 0 0 0 0 3 1 6 6 1 3 | 0 0 0 0 0 0 0 0 0 3 3 2 6 1 | 0 0 0 0 0 0 0 0 0 1 3 2 | * * * * * * * 3 | 0 0 1 1
-----------------------+---------+-----------------+-------------------------+-----------------------------+-------------------------+-----------------+--------
oxo.3ooo. oox.3ooo.&#x  1 3 3 0 | 3 3 0 3 9 0 3 0 | 3 9 0 3 0 1 9 0 9 0 1 0 | 1 9 0 9 0 1 0 3 0 9 0 3 0 0 | 3 0 9 0 3 0 0 3 0 3 0 0 | 3 0 3 0 0 1 0 0 | 1 * * *
oxoo3oooo ooxo ....&#x  1 3 2 1 | 3 2 1 3 6 3 1 2 | 3 6 3 1 2 1 6 3 3 6 0 1 | 1 6 3 3 6 0 1 2 1 3 6 0 3 0 | 2 1 3 6 0 3 0 1 2 0 3 0 | 1 2 0 3 0 0 1 0 | * 3 * *
oxoo .... ooxo3oooo&#x  1 2 3 1 | 2 3 1 1 6 2 3 3 | 1 6 2 3 3 0 3 1 6 6 1 3 | 0 3 1 6 6 1 3 0 0 3 3 2 6 1 | 0 0 3 3 2 6 1 0 0 1 3 2 | 0 0 1 3 2 0 0 1 | * * 3 *
.xoo3.ooo .oxo3.ooo&#x  0 3 3 1 | 0 0 0 3 9 3 3 3 | 0 0 0 0 0 1 9 3 9 9 1 3 | 0 0 0 0 0 0 0 3 1 9 9 3 9 1 | 0 0 0 0 0 0 0 3 3 3 9 3 | 0 0 0 0 0 1 3 3 | * * * 1

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