Acronym ene
Name enneazetton,
8D simplex (α8),
pyroyott(id),
octaexal pyramid,
vertex figure of day,
(one of the) Delone cell(s) of lattice E8,
Gosset polytope 07
Circumradius 2/3 = 0.666667
Inradius 1/12 = 0.083333
Volume 1/215040 = 0.0000046503
Surface 1/2240 = 0.00044643
Rel. Roundness 35 π4/1679616 = 0.202982 %
Dual (selfdual, in different orientation)
Dihedral angles
(at margins)
  • at hop between oca and oca:   arccos(1/8) = 82.819244°
Face vector 9, 36, 84, 126, 126, 84, 36, 9
Confer
general polytopal classes:
Wythoffian polyzetta   simplex   noble polytopes   segmentozetta   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
analogs:
regular simplex Sn  
External
links 		wikipedia   polytopewiki   mathworld

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o3o

. . . . . . . . | 9 ♦  8 | 28 |  56 |  70 | 56 | 28 | 8
----------------+---+----+----+-----+-----+----+----+--
x . . . . . . . | 2 | 36 ♦  7 |  21 |  35 | 35 | 21 | 7
----------------+---+----+----+-----+-----+----+----+--
x3o . . . . . . | 3 |  3 | 84 ♦   6 |  15 | 20 | 15 | 6
----------------+---+----+----+-----+-----+----+----+--
x3o3o . . . . . ♦ 4 |  6 |  4 | 126 ♦   5 | 10 | 10 | 5
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o . . . . ♦ 5 | 10 | 10 |   5 | 126 ♦  4 |  6 | 4
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o3o . . . ♦ 6 | 15 | 20 |  15 |   6 | 84 |  3 | 3
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o3o3o . . ♦ 7 | 21 | 35 |  35 |  21 |  7 | 36 | 2
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o3o3o3o . ♦ 8 | 28 | 56 |  70 |  56 | 28 |  8 | 9


ox3oo3oo3oo3oo3oo3oo&#x   → height = 3/4
(point || oca)

o.3o.3o.3o.3o.3o.3o.    | 1 * ♦ 8  0 | 28  0 | 56  0 | 70  0 | 56  0 | 28 0 | 8 0
.o3.o3.o3.o3.o3.o3.o    | * 8 ♦ 1  7 |  7 21 | 21 35 | 35 35 | 35 21 | 21 7 | 7 1
------------------------+-----+------+-------+-------+-------+-------+------+----
oo3oo3oo3oo3oo3oo3oo&#x | 1 1 | 8  * ♦  7  0 | 21  0 | 35  0 | 35  0 | 21 0 | 7 0
.x .. .. .. .. .. ..    | 0 2 | * 28 ♦  1  6 |  6 15 | 15 20 | 20 15 | 15 6 | 6 1
------------------------+-----+------+-------+-------+-------+-------+------+----
ox .. .. .. .. .. ..&#x | 1 2 | 2  1 | 28  * ♦  6  0 | 15  0 | 20  0 | 15 0 | 6 0
.x3.o .. .. .. .. ..    | 0 3 | 0  3 |  * 56 ♦  1  5 |  5 10 | 10 10 | 10 5 | 5 1
------------------------+-----+------+-------+-------+-------+-------+------+----
ox3oo .. .. .. .. ..&#x ♦ 1 3 | 3  3 |  3  1 | 56  * ♦  5  0 | 10  0 | 10 0 | 5 0
.x3.o3.o .. .. .. ..    ♦ 0 4 | 0  6 |  0  4 |  * 70 ♦  1  4 |  4  6 |  6 4 | 4 1
------------------------+-----+------+-------+-------+-------+-------+------+----
ox3oo3oo .. .. .. ..&#x ♦ 1 4 | 4  6 |  6  4 |  4  1 | 70  * ♦  4  0 |  6 0 | 4 0
.x3.o3.o3.o .. .. ..    ♦ 0 5 | 0 10 |  0 10 |  0  5 |  * 56 ♦  1  3 |  3 3 | 3 1
------------------------+-----+------+-------+-------+-------+-------+------+----
ox3oo3oo3oo .. .. ..&#x ♦ 1 5 | 5 10 | 10 10 | 10  5 |  5  1 | 56  * |  3 0 | 3 0
.x3.o3.o3.o3.o .. ..    ♦ 0 6 | 0 15 |  0 20 |  0 15 |  0  6 |  * 28 |  1 2 | 2 1
------------------------+-----+------+-------+-------+-------+-------+------+----
ox3oo3oo3oo3oo .. ..&#x ♦ 1 6 | 6 15 | 15 20 | 20 15 | 15  6 |  6  1 | 28 * | 2 0
.x3.o3.o3.o3.o3.o ..    ♦ 0 7 | 0 21 |  0 35 |  0 35 |  0 21 |  0  7 |  * 8 | 1 1
------------------------+-----+------+-------+-------+-------+-------+------+----
ox3oo3oo3oo3oo3oo ..&#x ♦ 1 7 | 7 21 | 21 35 | 35 35 | 35 21 | 21  7 |  7 1 | 8 *
.x3.o3.o3.o3.o3.o3.o    ♦ 0 8 | 0 28 |  0 56 |  0 70 |  0 56 |  0 28 |  0 8 | * 1


xoo3ooo oxo3ooo oox3ooo&#x   → all heights = 1/sqrt(3) = 0.577350

o..3o.. o..3o.. o..3o..    | 3 * * ♦ 2 3 3 0 0 0 | 1 6 3 6 3  9 0 0 0 0 | 3 6 1 3 6 1 18  9  9 0 0 0 | 3 2 3 2 9 18 18 3  9 3 0 0 | 1 1 9 9 6 18 6 3 3 0 | 3 9 3 6 6 1 | 3 3 2
.o.3.o. .o.3.o. .o.3.o.    | * 3 * ♦ 0 3 0 2 3 0 | 0 3 6 0 0  9 1 6 3 0 | 1 6 3 0 0 0  9 18  9 3 6 1 | 2 3 0 0 3 18  9 9 18 3 3 2 | 1 0 6 3 9 18 3 9 6 1 | 3 6 1 9 6 3 | 3 2 3
..o3..o ..o3..o ..o3..o    | * * 3 ♦ 0 0 3 0 3 2 | 0 0 0 3 6  9 0 3 6 1 | 0 0 0 1 6 3  9  9 18 1 6 3 | 0 0 2 3 3  9 18 3 18 9 2 3 | 0 1 3 6 3 18 9 6 9 1 | 1 6 3 6 9 3 | 2 3 3
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
x.. ... ... ... ... ...    | 2 0 0 | 3 * * * * * ♦ 1 3 0 3 0  0 0 0 0 0 | 3 3 0 3 3 0  9  0  0 0 0 0 | 3 1 3 1 9  9  9 0  0 0 0 0 | 1 1 9 9 3  9 3 0 0 0 | 3 9 3 3 3 0 | 3 3 1
oo.3oo. oo.3oo. oo.3oo.&#x | 1 1 0 | * 9 * * * * ♦ 0 2 2 0 0  3 0 0 0 0 | 1 4 1 0 0 0  6  6  3 0 0 0 | 2 2 0 0 3 12  6 3  6 1 0 0 | 1 0 6 3 6 12 2 3 2 0 | 3 6 1 6 4 1 | 3 2 2
o.o3o.o o.o3o.o o.o3o.o&#x | 1 0 1 | * * 9 * * * ♦ 0 0 0 2 2  3 0 0 0 0 | 0 0 0 1 4 1  6  3  6 0 0 0 | 0 0 2 2 1  6 12 1  6 3 0 0 | 0 1 3 6 2 12 6 2 3 0 | 1 6 3 6 4 1 | 2 3 2
... ... .x. ... ... ...    | 0 2 0 | * * * 3 * * ♦ 0 0 3 0 0  0 1 3 0 0 | 0 3 3 0 0 0  0  9  0 3 3 0 | 1 3 0 0 0  9  0 9  9 0 3 1 | 1 0 3 0 9  9 0 9 3 1 | 3 3 0 9 3 3 | 3 1 3
.oo3.oo .oo3.oo .oo3.oo&#x | 0 1 1 | * * * * 9 * ♦ 0 0 0 0 0  3 0 2 2 0 | 0 0 0 0 0 0  3  6  6 1 4 1 | 0 0 0 0 1  6  6 3 12 3 2 2 | 0 0 2 2 3 12 3 6 6 1 | 1 4 1 6 6 3 | 2 2 3
... ... ... ... .x. ...    | 0 0 2 | * * * * * 3 ♦ 0 0 0 0 3  0 0 0 3 1 | 0 0 0 0 3 3  0  0  9 0 3 3 | 0 0 1 3 0  0  9 0  9 9 1 3 | 0 1 0 3 0  9 9 3 9 1 | 0 3 3 3 9 3 | 1 3 3
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
x..3o.. ... ... ... ...    | 3 0 0 | 3 0 0 0 0 0 | 1 * * * *  * * * * * ♦ 3 0 0 3 0 0  0  0  0 0 0 0 | 3 0 3 0 9  0  0 0  0 0 0 0 | 1 1 9 9 0  0 0 0 0 0 | 3 9 3 0 0 0 | 3 3 0
xo. ... ... ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 9 * * *  * * * * * ♦ 1 2 0 0 0 0  3  0  0 0 0 0 | 2 1 0 0 3  6  3 0  0 0 0 0 | 1 0 6 3 3  6 1 0 0 0 | 3 6 1 3 2 0 | 3 2 1
... ... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 9 * *  * * * * * ♦ 0 2 1 0 0 0  0  3  0 0 0 0 | 1 2 0 0 0  6  0 3  3 0 0 0 | 1 0 3 0 6  6 0 3 1 0 | 3 3 0 6 2 1 | 3 1 2
x.o ... ... ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 9 *  * * * * * ♦ 0 0 0 1 2 0  3  0  0 0 0 0 | 0 0 2 1 3  3  6 0  0 0 0 0 | 0 1 3 6 1  6 3 0 0 0 | 1 6 3 2 3 0 | 2 3 1
... ... ... ... o.x ...&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 9  * * * * * ♦ 0 0 0 0 2 1  0  0  3 0 0 0 | 0 0 1 2 0  0  6 0  3 3 0 0 | 0 1 0 3 0  6 6 1 3 0 | 0 3 3 2 6 1 | 1 3 2
ooo3ooo ooo3ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 27 * * * * ♦ 0 0 0 0 0 0  2  2  2 0 0 0 | 0 0 0 0 1  4  4 1  4 1 0 0 | 0 0 2 2 2  8 2 2 2 0 | 1 4 1 4 4 1 | 2 2 2
... ... .x.3.o. ... ...    | 0 3 0 | 0 0 0 3 0 0 | * * * * *  * 1 * * * ♦ 0 0 3 0 0 0  0  0  0 3 0 0 | 0 3 0 0 0  0  0 9  0 0 3 0 | 1 0 0 0 9  0 0 9 0 1 | 3 0 0 9 0 3 | 3 0 3
... ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * *  * * 9 * * ♦ 0 0 0 0 0 0  0  3  0 1 2 0 | 0 0 0 0 0  3  0 3  6 0 2 1 | 0 0 1 0 3  6 0 6 3 1 | 1 2 0 6 3 3 | 2 1 3
... ... ... ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * *  * * * 9 * ♦ 0 0 0 0 0 0  0  0  3 0 2 1 | 0 0 0 0 0  0  3 0  6 3 1 2 | 0 0 0 1 0  6 3 3 6 1 | 0 2 1 3 6 3 | 1 2 3
... ... ... ... ..x3..o    | 0 0 3 | 0 0 0 0 0 3 | * * * * *  * * * * 1 ♦ 0 0 0 0 0 3  0  0  0 0 0 3 | 0 0 0 3 0  0  0 0  0 9 0 3 | 0 1 0 0 0  0 9 0 9 1 | 0 0 3 0 9 3 | 0 3 3
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
xo.3oo. ... ... ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 1 3 0 0 0  0 0 0 0 0 | 3 * * * * *  *  *  * * * * ♦ 2 0 0 0 3  0  0 0  0 0 0 0 | 1 0 6 3 0  0 0 0 0 0 | 3 6 1 0 0 0 | 3 2 0
xo. ... ox. ... ... ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0  0 0 0 0 0 | * 9 * * * *  *  *  * * * * ♦ 1 1 0 0 0  3  0 0  0 0 0 0 | 1 0 3 0 3  3 0 0 0 0 | 3 3 0 3 1 0 | 3 1 1
... ... ox.3oo. ... ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 3 0 0  0 1 0 0 0 | * * 3 * * *  *  *  * * * * ♦ 0 2 0 0 0  0  0 3  0 0 0 0 | 1 0 0 0 6  0 0 3 0 0 | 3 0 0 6 0 1 | 3 0 2
x.o3o.o ... ... ... ...&#x ♦ 3 0 1 | 3 0 3 0 0 0 | 1 0 0 3 0  0 0 0 0 0 | * * * 3 * *  *  *  * * * * ♦ 0 0 2 0 3  0  0 0  0 0 0 0 | 0 1 3 6 0  0 0 0 0 0 | 1 6 3 0 0 0 | 2 3 0
x.o ... ... ... o.x ...&#x ♦ 2 0 2 | 1 0 4 0 0 1 | 0 0 0 2 2  0 0 0 0 0 | * * * * 9 *  *  *  * * * * ♦ 0 0 1 1 0  0  3 0  0 0 0 0 | 0 1 0 3 0  3 3 0 0 0 | 0 3 3 1 3 0 | 1 3 1
... ... ... ... o.x3o.o&#x ♦ 1 0 3 | 0 0 3 0 0 3 | 0 0 0 0 3  0 0 0 0 1 | * * * * * 3  *  *  * * * * ♦ 0 0 0 2 0  0  0 0  0 3 0 0 | 0 1 0 0 0  0 6 0 3 0 | 0 0 3 0 6 1 | 0 3 2
xoo ... ... ... ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0  2 0 0 0 0 | * * * * * * 27  *  * * * * ♦ 0 0 0 0 1  2  2 0  0 0 0 0 | 0 0 2 2 1  4 1 0 0 0 | 1 4 1 2 2 0 | 2 2 1
... ... oxo ... ... ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 0 1 0 0  2 0 1 0 0 | * * * * * *  * 27  * * * * ♦ 0 0 0 0 0  2  0 1  2 0 0 0 | 0 0 1 0 2  4 0 2 1 0 | 1 2 0 4 2 1 | 2 1 2
... ... ... ... oox ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 0 0 1  2 0 0 1 0 | * * * * * *  *  * 27 * * * ♦ 0 0 0 0 0  0  2 0  2 1 0 0 | 0 0 0 1 0  4 2 1 2 0 | 0 2 1 2 4 1 | 1 2 2
... ... .xo3.oo ... ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0  0 1 3 0 0 | * * * * * *  *  *  * 3 * * ♦ 0 0 0 0 0  0  0 3  0 0 2 0 | 0 0 0 0 3  0 0 6 0 1 | 1 0 0 6 0 3 | 2 0 3
... ... .xo ... .ox ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0  0 0 2 2 0 | * * * * * *  *  *  * * 9 * ♦ 0 0 0 0 0  0  0 0  3 0 1 1 | 0 0 0 0 0  3 0 3 3 1 | 0 1 0 3 3 3 | 1 1 3
... ... ... ... .ox3.oo&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0  0 0 0 3 1 | * * * * * *  *  *  * * * 3 ♦ 0 0 0 0 0  0  0 0  0 3 0 2 | 0 0 0 0 0  0 3 0 6 1 | 0 0 1 0 6 3 | 0 2 3
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
xo.3oo. ox. ... ... ...&#x ♦ 3 2 0 | 3 6 0 1 0 0 | 1 6 3 0 0  0 0 0 0 0 | 2 3 0 0 0 0  0  0  0 0 0 0 | 3 * * * *  *  * *  * * * * ♦ 1 0 3 0 0  0 0 0 0 0 | 3 3 0 0 0 0 | 3 1 0
xo. ... ox.3oo. ... ...&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 0 3 6 0 0  0 1 0 0 0 | 0 3 2 0 0 0  0  0  0 0 0 0 | * 3 * * *  *  * *  * * * * ♦ 1 0 0 0 3  0 0 0 0 0 | 3 0 0 3 0 0 | 3 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 0 0 0 | * * 3 * *  *  * *  * * * * ♦ 0 1 0 3 0  0 0 0 0 0 | 0 3 3 0 0 0 | 1 3 0
x.o ... ... ... o.x3o.o&#x ♦ 2 0 3 | 1 0 6 0 0 3 | 0 0 0 3 6  0 0 0 0 1 | 0 0 0 0 3 2  0  0  0 0 0 0 | * * * 3 *  *  * *  * * * * ♦ 0 1 0 0 0  0 3 0 0 0 | 0 0 3 0 3 0 | 0 3 1
xoo3ooo ... ... ... ...&#x ♦ 3 1 1 | 3 3 3 0 1 0 | 1 3 0 3 0  3 0 0 0 0 | 1 0 0 1 0 0  3  0  0 0 0 0 | * * * * 9  *  * *  * * * * ♦ 0 0 2 2 0  0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0
xoo ... oxo ... ... ...&#x ♦ 2 2 1 | 1 4 2 1 2 0 | 0 2 2 1 0  4 0 1 0 0 | 0 1 0 0 0 0  2  2  0 0 0 0 | * * * * * 27  * *  * * * * ♦ 0 0 1 0 1  2 0 0 0 0 | 1 2 0 2 1 0 | 2 1 1
xoo ... ... ... oox ...&#x ♦ 2 1 2 | 1 2 4 0 2 1 | 0 1 0 2 2  4 0 0 1 0 | 0 0 0 0 1 0  2  0  2 0 0 0 | * * * * *  * 27 *  * * * * ♦ 0 0 0 1 0  2 1 0 0 0 | 0 2 1 1 2 0 | 1 2 1
... ... oxo3ooo ... ...&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 0 3 0 0  3 1 3 0 0 | 0 0 1 0 0 0  0  3  0 1 0 0 | * * * * *  *  * 9  * * * * ♦ 0 0 0 0 2  0 0 2 0 0 | 1 0 0 4 0 1 | 2 0 2
... ... oxo ... oox ...&#x ♦ 1 2 2 | 0 2 2 1 4 1 | 0 0 1 0 1  4 0 2 2 0 | 0 0 0 0 0 0  0  2  2 0 1 0 | * * * * *  *  * * 27 * * * ♦ 0 0 0 0 0  2 0 1 1 0 | 0 1 0 2 2 1 | 1 1 2
... ... ... ... oox3ooo&#x ♦ 1 1 3 | 0 1 3 0 3 3 | 0 0 0 0 3  3 0 0 3 1 | 0 0 0 0 0 1  0  0  3 0 0 1 | * * * * *  *  * *  * 9 * * ♦ 0 0 0 0 0  0 2 0 2 0 | 0 0 1 0 4 1 | 0 2 2
... ... .xo3.oo .ox ...&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 0  0 1 6 3 0 | 0 0 0 0 0 0  0  0  0 2 3 0 | * * * * *  *  * *  * * 3 * ♦ 0 0 0 0 0  0 0 3 0 1 | 0 0 0 3 0 3 | 1 0 3
... ... .xo ... .ox3.oo&#x ♦ 0 2 3 | 0 0 0 1 6 3 | 0 0 0 0 0  0 0 3 6 1 | 0 0 0 0 0 0  0  0  0 0 3 2 | * * * * *  *  * *  * * * 3 ♦ 0 0 0 0 0  0 0 0 3 1 | 0 0 0 0 3 3 | 0 1 3
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
xo.3oo. ox.3oo. ... ...&#x ♦ 3 3 0 | 3 9 0 3 0 0 | 1 9 9 0 0  0 1 0 0 0 | 3 9 3 0 0 0  0  0  0 0 0 0 | 3 3 0 0 0  0  0 0  0 0 0 0 | 1 * * * *  * * * * * | 3 0 0 0 0 0 | 3 0 0
x.o3o.o ... ... o.x3o.o&#x ♦ 3 0 3 | 3 0 9 0 0 3 | 1 0 0 9 9  0 0 0 0 1 | 0 0 0 3 9 3  0  0  0 0 0 0 | 0 0 3 3 0  0  0 0  0 0 0 0 | * 1 * * *  * * * * * | 0 0 3 0 0 0 | 0 3 0
xoo3ooo oxo ... ... ...&#x ♦ 3 2 1 | 3 6 3 1 2 0 | 1 6 3 3 0  6 0 1 0 0 | 2 3 0 1 0 0  6  3  0 0 0 0 | 1 0 0 0 2  3  0 0  0 0 0 0 | * * 9 * *  * * * * * | 1 2 0 0 0 0 | 2 1 0
xoo3ooo ... ... oox ...&#x ♦ 3 1 2 | 3 3 6 0 2 1 | 1 3 0 6 3  6 0 0 1 0 | 1 0 0 2 3 0  6  0  3 0 0 0 | 0 0 1 0 2  0  3 0  0 0 0 0 | * * * 9 *  * * * * * | 0 2 1 0 0 0 | 1 2 0
xoo ... oxo3ooo ... ...&#x ♦ 2 3 1 | 1 6 2 3 3 0 | 0 3 6 1 0  6 1 3 0 0 | 0 3 2 0 0 0  3  6  0 1 0 0 | 0 1 0 0 0  3  0 2  0 0 0 0 | * * * * 9  * * * * * | 1 0 0 2 0 0 | 2 0 1
xoo ... oxo ... oox ...&#x ♦ 2 2 2 | 1 4 4 1 4 1 | 0 2 2 2 2  8 0 2 2 0 | 0 1 0 0 1 0  4  4  4 0 1 0 | 0 0 0 0 0  2  2 0  2 0 0 0 | * * * * * 27 * * * * | 0 1 0 1 1 0 | 1 1 1
xoo ... ... ... oox3ooo&#x ♦ 2 1 3 | 1 2 6 0 3 3 | 0 1 0 3 6  6 0 0 3 1 | 0 0 0 0 3 2  3  0  6 0 0 1 | 0 0 0 1 0  0  3 0  0 2 0 0 | * * * * *  * 9 * * * | 0 0 1 0 2 0 | 0 2 1
... ... oxo3ooo oox ...&#x ♦ 1 3 2 | 0 3 2 3 6 1 | 0 0 3 0 1  6 1 6 3 0 | 0 0 1 0 0 0  0  6  3 2 3 0 | 0 0 0 0 0  0  0 2  3 0 1 0 | * * * * *  * * 9 * * | 0 0 0 2 0 1 | 1 0 2
... ... oxo ... oox3ooo&#x ♦ 1 2 3 | 0 2 3 1 6 3 | 0 0 1 0 3  6 0 3 6 1 | 0 0 0 0 0 1  0  3  6 0 3 2 | 0 0 0 0 0  0  0 0  3 2 0 1 | * * * * *  * * * 9 * | 0 0 0 0 2 1 | 0 1 2
... ... .xo3.oo .ox3.oo&#x ♦ 0 3 3 | 0 0 0 3 9 3 | 0 0 0 0 0  0 1 9 9 1 | 0 0 0 0 0 0  0  0  0 3 9 3 | 0 0 0 0 0  0  0 0  0 0 3 3 | * * * * *  * * * * 1 | 0 0 0 0 0 3 | 0 0 3
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
xoo3ooo oxo3ooo ... ...&#x ♦ 3 3 1 | 3 9 3 3 3 0 | 1 9 9 3 0  9 1 3 0 0 | 3 9 3 1 0 0  9  9  0 1 0 0 | 3 3 0 0 3  9  0 3  0 0 0 0 | 1 0 3 0 3  0 0 0 0 0 | 3 * * * * * | 2 0 0
xoo3ooo oxo ... oox ...&#x ♦ 3 2 2 | 3 6 6 1 4 1 | 1 6 3 6 3 12 0 2 2 0 | 2 3 0 2 3 0 12  6  6 0 1 0 | 1 0 1 0 4  6  6 0  3 0 0 0 | 0 0 2 2 0  3 0 0 0 0 | * 9 * * * * | 1 1 0
xoo3ooo ... ... oox3ooo&#x ♦ 3 1 3 | 3 3 9 0 3 3 | 1 3 0 9 9  9 0 0 3 1 | 1 0 0 3 9 3  9  0  9 0 0 1 | 0 0 3 3 3  0  9 0  0 3 0 0 | 0 1 0 3 0  0 3 0 0 0 | * * 3 * * * | 0 2 0
xoo ... oxo3ooo oox ...&#x ♦ 2 3 2 | 1 6 4 3 6 1 | 0 3 6 2 2 12 1 6 3 0 | 0 3 2 0 1 0  6 12  6 2 3 0 | 0 1 0 0 0  6  3 4  6 0 1 0 | 0 0 0 0 2  3 0 2 0 0 | * * * 9 * * | 1 0 1
xoo ... oxo ... oox3ooo&#x ♦ 2 2 3 | 1 4 6 1 6 3 | 0 2 2 3 6 12 0 3 6 1 | 0 1 0 0 3 2  6  6 12 0 3 2 | 0 0 0 1 0  3  6 0  6 4 0 1 | 0 0 0 0 0  3 2 0 2 0 | * * * * 9 * | 0 1 1
... ... oxo3ooo oox3ooo&#x ♦ 1 3 3 | 0 3 3 3 9 3 | 0 0 3 0 3  9 1 9 9 1 | 0 0 1 0 0 1  0  9  9 3 9 3 | 0 0 0 0 0  0  0 3  9 3 3 3 | 0 0 0 0 0  0 0 3 3 1 | * * * * * 3 | 0 0 2
---------------------------+-------+-------------+----------------------+----------------------------+----------------------------+----------------------+-------------+------
xoo3ooo oxo3ooo oox ...&#x ♦ 3 3 2 | 3 9 6 3 6 1 | 1 9 9 6 3 18 1 6 3 0 | 3 9 3 2 3 0 18 18  9 2 3 0 | 3 3 1 0 6 18  9 6  9 0 1 0 | 1 0 6 3 6  9 0 3 0 0 | 2 3 0 3 0 0 | 3 * *
xoo3ooo oxo ... oox3ooo&#x ♦ 3 2 3 | 3 6 9 1 6 3 | 1 6 3 9 9 18 0 3 6 1 | 2 3 0 3 9 3 18  9 18 0 3 2 | 1 0 3 3 6  9 18 0  9 6 0 1 | 0 1 3 6 0  9 6 0 3 0 | 0 3 2 0 3 0 | * 3 *
xoo ... oxo3ooo oox3ooo&#x ♦ 2 3 3 | 1 6 6 3 9 3 | 0 3 6 3 6 18 1 9 9 1 | 0 3 2 0 3 2  9 18 18 3 9 3 | 0 1 0 1 0  9  9 6 18 6 3 3 | 0 0 0 0 3  9 3 6 6 1 | 0 0 0 3 3 2 | * * 3

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