Acronym | octa tratet |
Name |
oct atop tratet, oct-first cap of ril |
Circumradius | sqrt(5/7) = 0.845154 |
Lace city in approx. ASCII-art |
_+----------- tratet _/ _+-- oct / / o x3o3o -- tet (as 2-dimin. hix x x3o3o o o3x3o -- octatepe \ \ \ +-- rap +------------ lacing-ortho tepe |
Face vector | 18, 78, 132, 112, 52, 12 |
Confer |
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This polypeton is the oct-first cap of ril, i.e. chopping off a trial tratet, thereby omitting all the vertices of the opposite perpendicular triangle. (As such it is a different 3-diminishing of ril than tidril, where the omitted vertices would all have a pairwise distance of q = sqrt(2) instead.)
Incidence matrix according to Dynkin symbol
xo3ox3oo xo3oo&#x → height = sqrt(7/24) = 0.540062
(tratet || oct)
o.3o.3o. o.3o. | 12 * | 3 2 3 0 | 3 6 1 3 3 6 0 0 | 1 6 3 3 6 1 6 3 0 | 2 3 1 6 3 2 3 | 1 2 3 1
.o3.o3.o .o3.o | * 6 ♦ 0 0 6 4 | 0 0 0 3 12 6 2 2 | 0 0 0 6 3 6 12 2 1 | 0 0 3 6 3 6 4 | 0 3 2 2
------------------+------+-------------+----------------------+-------------------------+------------------+--------
x. .. .. .. .. | 2 0 | 18 * * * | 2 2 0 1 0 0 0 0 | 1 4 1 2 2 0 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.. .. .. x. .. | 2 0 | * 12 * * | 0 3 1 0 0 3 0 0 | 0 3 3 0 3 0 3 3 0 | 1 3 0 3 3 1 3 | 1 1 3 1
oo3oo3oo oo3oo&#x | 1 1 | * * 36 * | 0 0 0 1 2 2 0 0 | 0 0 0 2 2 1 4 1 0 | 0 0 1 4 1 2 2 | 0 2 2 1
.. .x .. .. .. | 0 2 | * * * 12 | 0 0 0 0 3 0 1 1 | 0 0 0 3 0 3 3 0 1 | 0 0 3 3 0 3 1 | 0 3 1 1
------------------+------+-------------+----------------------+-------------------------+------------------+--------
x.3o. .. .. .. | 3 0 | 3 0 0 0 | 12 * * * * * * * | 1 2 0 1 0 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
x. .. .. x. .. | 4 0 | 2 2 0 0 | * 18 * * * * * * | 0 2 1 0 1 0 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
.. .. .. x.3o. | 3 0 | 0 3 0 0 | * * 4 * * * * * | 0 0 3 0 0 0 0 3 0 | 0 3 0 0 3 0 3 | 1 0 3 1
xo .. .. .. ..&#x | 2 1 | 1 0 2 0 | * * * 18 * * * * ♦ 0 0 0 2 2 0 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. ox .. .. ..&#x | 1 2 | 0 0 2 1 | * * * * 36 * * * | 0 0 0 1 0 1 2 0 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .. xo ..&#x | 2 1 | 0 1 2 0 | * * * * * 36 * * | 0 0 0 0 1 0 2 1 0 | 0 0 0 2 1 1 2 | 0 1 2 1
.o3.x .. .. .. | 0 3 | 0 0 0 3 | * * * * * * 4 * ♦ 0 0 0 3 0 0 0 0 1 | 0 0 3 3 0 0 0 | 0 3 1 0
.. .x3.o .. .. | 0 3 | 0 0 0 3 | * * * * * * * 4 | 0 0 0 0 0 3 0 0 1 | 0 0 3 0 0 3 0 | 0 3 0 1
------------------+------+-------------+----------------------+-------------------------+------------------+--------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 0 | 3 * * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
x.3o. .. x. .. ♦ 6 0 | 6 3 0 0 | 2 3 0 0 0 0 0 0 | * 12 * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
x. .. .. x.3o. ♦ 6 0 | 3 6 0 0 | 0 3 2 0 0 0 0 0 | * * 6 * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
xo3ox .. .. ..&#x ♦ 3 3 | 3 0 6 3 | 1 0 0 3 3 0 1 0 | * * * 12 * * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
xo .. .. xo ..&#x ♦ 4 1 | 2 2 4 0 | 0 1 0 2 0 2 0 0 | * * * * 18 * * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 0 3 3 | 0 0 0 0 3 0 0 1 | * * * * * 12 * * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. ox .. xo ..&#x ♦ 2 2 | 0 1 4 1 | 0 0 0 0 2 2 0 0 | * * * * * * 36 * * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .. xo3oo&#x ♦ 3 1 | 0 3 3 0 | 0 0 1 0 0 3 0 0 | * * * * * * * 12 * | 0 0 0 0 1 0 2 | 0 0 2 1
.o3.x3.o .. . ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 0 4 4 | * * * * * * * * 1 | 0 0 3 0 0 0 0 | 0 3 0 0
------------------+------+-------------+----------------------+-------------------------+------------------+--------
x.3o.3o. x. .. ♦ 8 0 | 12 4 0 0 | 8 6 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 | 3 * * * * * * | 1 1 0 0
x.3o. .. x.3o. ♦ 9 0 | 9 9 0 0 | 3 9 3 0 0 0 0 0 | 0 3 3 0 0 0 0 0 0 | * 4 * * * * * | 1 0 1 0
xo3ox3oo .. ..&#x ♦ 4 6 | 6 0 12 12 | 4 0 0 6 12 0 4 4 | 1 0 0 4 0 4 0 0 1 | * * 3 * * * * | 0 2 0 0
xo3ox .. xo ..&#x ♦ 6 3 | 6 3 12 3 | 2 3 0 6 6 6 1 0 | 0 1 0 2 3 0 3 0 0 | * * * 12 * * * | 0 1 1 0
xo .. .. xo3oo&#x ♦ 6 1 | 3 6 6 0 | 0 3 2 3 0 6 0 0 | 0 0 1 0 3 0 0 2 0 | * * * * 6 * * | 0 0 2 0
.. ox3oo xo ..&#x ♦ 2 3 | 0 1 6 3 | 0 0 0 0 6 3 0 1 | 0 0 0 0 0 2 3 0 0 | * * * * * 12 * | 0 1 0 1
.. ox .. xo3oo&#x ♦ 3 2 | 0 3 6 1 | 0 0 1 0 3 6 0 0 | 0 0 0 0 0 0 3 2 0 | * * * * * * 12 | 0 0 1 1
------------------+------+-------------+----------------------+-------------------------+------------------+--------
x.3o.3o. x.3o. ♦ 12 0 | 18 12 0 0 | 12 18 4 0 0 0 0 0 | 3 12 6 0 0 0 0 0 0 | 3 4 0 0 0 0 0 | 1 * * *
xo3ox3oo xo ..&#x ♦ 8 6 | 12 4 24 12 | 8 6 0 12 24 12 4 4 | 2 4 0 8 6 8 12 0 1 | 1 0 2 4 0 4 0 | * 3 * *
xo3ox .. xo3oo&#x ♦ 9 3 | 9 9 18 3 | 3 9 3 9 9 18 1 0 | 0 3 3 3 9 0 9 6 0 | 0 1 0 3 3 0 3 | * * 4 *
.. ox3oo xo3oo&#x ♦ 3 3 | 0 3 9 3 | 0 0 1 0 9 9 0 1 | 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 3 3 | * * * 4
xoo xox3oxo3ooo&#x → height(1,2) = sqrt(3/8) = 0.612372 height(1,3) = sqrt(3)/2 = 0.866025 height(2,3) = sqrt(5/8) = 0.790569 (tepe || lacing-ortho rap) → height(1,23) = sqrt(7/20) = 0.591608 (tratet || oct) → height(13,2) = sqrt(7/24) = 0.540062 (octatepe || tet) → height(12,3) = sqrt(7/12) = 0.763763 o.. o..3o..3o.. | 8 * * | 1 3 3 1 0 0 0 | 3 3 3 3 3 1 3 3 0 0 0 0 0 | 3 1 3 3 3 1 3 3 3 3 3 0 0 0 0 | 1 3 1 1 3 1 3 3 3 1 0 | 1 1 3 1 1 .o. .o.3.o.3.o. | * 6 * ♦ 0 0 4 0 4 2 0 | 0 0 2 2 8 0 0 4 2 2 1 4 0 | 0 0 1 4 4 4 0 0 2 2 8 1 2 2 0 | 0 2 2 2 0 0 1 4 4 4 1 | 1 0 2 2 2 ..o ..o3..o3..o | * * 4 | 0 0 0 2 0 3 3 | 0 0 0 0 0 1 6 6 0 0 3 3 3 | 0 0 0 0 0 0 3 6 3 6 6 0 3 1 1 | 0 0 0 0 3 2 3 3 6 2 1 | 0 1 3 1 2 -------------------+-------+-------------------+---------------------------------+-----------------------------------+------------------------+---------- x.. ... ... ... | 2 0 0 | 4 * * * * * * | 3 0 3 0 0 1 0 0 0 0 0 0 0 | 3 0 3 3 0 0 3 0 3 0 0 0 0 0 0 | 1 3 1 0 3 0 3 3 0 0 0 | 1 1 3 1 0 ... x.. ... ... | 2 0 0 | * 12 * * * * * | 1 2 0 1 0 0 1 0 0 0 0 0 0 | 2 1 1 0 2 0 1 2 0 1 0 0 0 0 0 | 1 2 0 1 2 1 1 0 2 0 0 | 1 1 2 0 1 oo. oo.3oo.3oo.&#x | 1 1 0 | * * 24 * * * * | 0 0 1 1 2 0 0 1 0 0 0 0 0 | 0 0 1 2 2 1 0 0 1 1 2 0 0 0 0 | 0 2 1 1 0 0 1 2 2 1 0 | 1 0 2 1 1 o.o o.o3o.o3o.o&#x | 1 0 1 | * * * 8 * * * | 0 0 0 0 0 1 3 3 0 0 0 0 0 | 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 | 0 0 0 0 3 1 3 3 3 1 0 | 0 1 3 1 1 ... ... .x. ... | 0 2 0 | * * * * 12 * * | 0 0 0 0 2 0 0 0 1 1 0 1 0 | 0 0 0 1 2 2 0 0 0 0 2 1 1 1 0 | 0 1 1 2 0 0 0 1 2 2 1 | 1 0 1 1 2 .oo .oo3.oo3.oo&#x | 0 1 1 | * * * * * 12 * | 0 0 0 0 0 0 0 2 0 0 1 2 0 | 0 0 0 0 0 0 0 0 1 2 4 0 2 1 0 | 0 0 0 0 0 0 1 2 4 2 1 | 0 0 2 1 2 ... ..x ... ... | 0 0 2 | * * * * * * 6 | 0 0 0 0 0 0 2 0 0 0 1 0 2 | 0 0 0 0 0 0 1 4 0 2 0 0 2 0 1 | 0 0 0 0 2 2 1 0 4 0 1 | 0 1 2 0 2 -------------------+-------+-------------------+---------------------------------+-----------------------------------+------------------------+---------- x.. x.. ... ... | 4 0 0 | 2 2 0 0 0 0 0 | 6 * * * * * * * * * * * * | 2 0 1 0 0 0 1 0 0 0 0 0 0 0 0 | 1 2 0 0 2 0 1 0 0 0 0 | 1 1 2 0 0 ... x..3o.. ... | 3 0 0 | 0 3 0 0 0 0 0 | * 8 * * * * * * * * * * * | 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 1 1 0 0 1 0 0 | 1 1 1 0 1 xo. ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 0 | * * 12 * * * * * * * * * * | 0 0 1 2 0 0 0 0 1 0 0 0 0 0 0 | 0 2 1 0 0 0 1 2 0 0 0 | 1 0 2 1 0 ... xo. ... ...&#x | 2 1 0 | 0 1 2 0 0 0 0 | * * * 12 * * * * * * * * * ♦ 0 0 1 0 2 0 0 0 0 1 0 0 0 0 0 | 0 2 0 1 0 0 1 0 2 0 0 | 1 0 2 0 1 ... ... ox. ...&#x | 1 2 0 | 0 0 2 0 1 0 0 | * * * * 24 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 0 1 1 1 x.o ... ... ...&#x | 2 0 1 | 1 0 0 2 0 0 0 | * * * * * 4 * * * * * * * | 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 | 0 0 0 0 3 0 3 3 0 0 0 | 0 1 3 1 0 ... x.x ... ...&#x | 2 0 2 | 0 1 0 2 0 0 1 | * * * * * * 12 * * * * * * | 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 | 0 0 0 0 2 1 1 0 2 0 0 | 0 1 2 0 1 ooo ooo3ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 1 0 | * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 | 0 0 0 0 0 0 1 2 2 1 0 | 0 0 2 1 1 ... .o.3.x. ... | 0 3 0 | 0 0 0 0 3 0 0 | * * * * * * * * 4 * * * * ♦ 0 0 0 0 2 0 0 0 0 0 0 1 1 0 0 | 0 1 0 2 0 0 0 0 2 0 1 | 1 0 1 0 2 ... ... .x.3.o. | 0 3 0 | 0 0 0 0 3 0 0 | * * * * * * * * * 4 * * * | 0 0 0 0 0 2 0 0 0 0 0 1 0 1 0 | 0 0 1 2 0 0 0 0 0 2 1 | 1 0 0 1 2 ... .ox ... ...&#x | 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * * * * 6 * * ♦ 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 | 0 0 0 0 0 0 1 0 4 0 1 | 0 0 2 0 2 ... ... .xo ...&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 | 0 0 0 0 0 0 0 1 2 2 1 | 0 0 1 1 2 ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 2 0 0 0 0 1 0 1 | 0 0 0 0 1 2 0 0 2 0 1 | 0 1 1 0 2 -------------------+-------+-------------------+---------------------------------+-----------------------------------+------------------------+---------- x.. x..3o.. ... ♦ 6 0 0 | 3 6 0 0 0 0 0 | 3 2 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 | 1 1 1 0 0 ... x..3o..3o.. ♦ 4 0 0 | 0 6 0 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * | 1 0 0 1 0 1 0 0 0 0 0 | 1 1 0 0 1 xo. xo. ... ...&#x ♦ 4 1 0 | 2 2 4 0 0 0 0 | 1 0 2 2 0 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * | 0 2 0 0 0 0 1 0 0 0 0 | 1 0 2 0 0 xo. ... ox. ...&#x ♦ 2 2 0 | 1 0 4 0 1 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 | * * * 12 * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 | 1 0 1 1 0 ... xo.3ox. ...&#x ♦ 3 3 0 | 0 3 6 0 3 0 0 | 0 1 0 3 3 0 0 0 1 0 0 0 0 | * * * * 8 * * * * * * * * * * | 0 1 0 1 0 0 0 0 1 0 0 | 1 0 1 0 1 ... ... ox.3oo.&#x ♦ 1 3 0 | 0 0 3 0 3 0 0 | 0 0 0 0 3 0 0 0 0 1 0 0 0 | * * * * * 8 * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 | 1 0 0 1 1 x.o x.x ... ...&#x ♦ 4 0 2 | 2 2 0 4 0 0 1 | 1 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * * 6 * * * * * * * * | 0 0 0 0 2 0 1 0 0 0 0 | 0 1 2 0 0 ... x.x3o.o ...&#x ♦ 3 0 3 | 0 3 0 3 0 0 3 | 0 1 0 0 0 0 3 0 0 0 0 0 1 | * * * * * * * 8 * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 | 0 1 1 0 1 xoo ... ... ...&#x ♦ 2 1 1 | 1 0 2 2 0 1 0 | 0 0 1 0 0 1 0 2 0 0 0 0 0 | * * * * * * * * 12 * * * * * * | 0 0 0 0 0 0 1 2 0 0 0 | 0 0 2 1 0 ... xox ... ...&#x ♦ 2 1 2 | 0 1 2 2 0 2 1 | 0 0 0 1 0 0 1 2 0 0 1 0 0 | * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 1 0 2 0 0 | 0 0 2 0 1 ... ... oxo ...&#x ♦ 1 2 1 | 0 0 2 1 1 2 0 | 0 0 0 0 1 0 0 2 0 0 0 1 0 | * * * * * * * * * * 24 * * * * | 0 0 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1 ... .o.3.x.3.o. ♦ 0 6 0 | 0 0 0 0 12 0 0 | 0 0 0 0 0 0 0 0 4 4 0 0 0 | * * * * * * * * * * * 1 * * * | 0 0 0 2 0 0 0 0 0 0 1 | 1 0 0 0 2 ... .ox3.xo ...&#x ♦ 0 3 3 | 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 1 0 3 3 1 | * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 0 2 0 1 | 0 0 1 0 2 ... ... .xo3.oo&#x ♦ 0 3 1 | 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 1 0 3 0 | * * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 1 2 ... ..x3..o3..o ♦ 0 0 4 | 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * 1 | 0 0 0 0 0 2 0 0 0 0 1 | 0 1 0 0 2 -------------------+-------+-------------------+---------------------------------+-----------------------------------+------------------------+---------- x.. x..3o..3o.. ♦ 8 0 0 | 4 12 0 0 0 0 0 | 6 8 0 0 0 0 0 0 0 0 0 0 0 | 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 1 0 0 0 xo. xo.3ox. ...&#x ♦ 6 3 0 | 3 6 12 0 3 0 0 | 3 2 6 6 6 0 0 0 1 0 0 0 0 | 1 0 3 3 2 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * | 1 0 1 0 0 xo. ... ox.3oo.&#x ♦ 2 3 0 | 1 0 6 0 3 0 0 | 0 0 3 0 6 0 0 0 0 1 0 0 0 | 0 0 0 3 0 2 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * | 1 0 0 1 0 ... xo.3ox.3oo.&#x ♦ 4 6 0 | 0 6 12 0 12 0 0 | 0 4 0 6 12 0 0 0 4 4 0 0 0 | 0 1 0 0 4 4 0 0 0 0 0 1 0 0 0 | * * * 2 * * * * * * * | 1 0 0 0 1 x.o x.x3o.o ...&#x ♦ 6 0 3 | 3 6 0 6 0 0 3 | 3 2 0 0 0 3 6 0 0 0 0 0 1 | 1 0 0 0 0 0 3 2 0 0 0 0 0 0 0 | * * * * 4 * * * * * * | 0 1 1 0 0 ... x.x3o.o3o.o&#x ♦ 4 0 4 | 0 6 0 4 0 0 6 | 0 4 0 0 0 0 6 0 0 0 0 0 4 | 0 1 0 0 0 0 0 4 0 0 0 0 0 0 1 | * * * * * 2 * * * * * | 0 1 0 0 1 xoo xox ... ...&#x ♦ 4 1 2 | 2 2 4 4 0 2 1 | 1 0 2 2 0 2 2 4 0 0 1 0 0 | 0 0 1 0 0 0 1 0 2 2 0 0 0 0 0 | * * * * * * 6 * * * * | 0 0 2 0 0 xoo ... oxo ...&#x ♦ 2 2 1 | 1 0 4 2 1 2 0 | 0 0 2 0 2 1 0 4 0 0 0 1 0 | 0 0 0 1 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * 12 * * * | 0 0 1 1 0 ... xox3oxo ...&#x ♦ 3 3 3 | 0 3 6 3 3 6 3 | 0 1 0 3 3 0 3 6 1 0 3 3 1 | 0 0 0 0 1 0 0 1 0 3 3 0 1 0 0 | * * * * * * * * 8 * * | 0 0 1 0 1 ... ... oxo3ooo&#x ♦ 1 3 1 | 0 0 3 1 3 3 0 | 0 0 0 0 3 0 0 3 0 1 0 3 0 | 0 0 0 0 0 1 0 0 0 0 3 0 0 1 0 | * * * * * * * * * 8 * | 0 0 0 1 1 ... .ox3.xo3.oo&#x ♦ 0 6 4 | 0 0 0 0 12 12 6 | 0 0 0 0 0 0 0 0 4 4 6 12 4 | 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 | * * * * * * * * * * 1 | 0 0 0 0 2 -------------------+-------+-------------------+---------------------------------+-----------------------------------+------------------------+---------- xo. xo.3ox.3oo.&#x ♦ 8 6 0 | 4 12 24 0 12 0 0 | 6 8 12 12 24 0 0 0 4 4 0 0 0 | 4 2 6 12 8 8 0 0 0 0 0 1 0 0 0 | 1 4 4 2 0 0 0 0 0 0 0 | 1 * * * * x.o x.x3o.o3o.o&#x ♦ 8 0 4 | 4 12 0 8 0 0 6 | 6 8 0 0 0 4 12 0 0 0 0 0 4 | 4 2 0 0 0 0 6 8 0 0 0 0 0 0 1 | 1 0 0 0 4 2 0 0 0 0 0 | * 1 * * * xoo xox3oxo ...&#x ♦ 6 3 3 | 3 6 12 6 3 6 3 | 3 2 6 6 6 3 6 12 1 0 3 3 1 | 1 0 3 3 2 0 3 2 6 6 6 0 1 0 0 | 0 1 0 0 1 0 3 3 2 0 0 | * * 4 * * xoo ... oxo3ooo&#x ♦ 2 3 1 | 1 0 6 2 3 3 0 | 0 0 3 0 6 1 0 6 0 1 0 3 0 | 0 0 0 3 0 2 0 0 3 0 6 0 0 1 0 | 0 0 1 0 0 0 0 3 0 2 0 | * * * 4 * ... xox3oxo3ooo&#x ♦ 4 6 4 | 0 6 12 4 12 12 6 | 0 4 0 6 12 0 6 12 4 4 6 12 4 | 0 1 0 0 4 4 0 4 0 6 12 1 4 4 1 | 0 0 0 1 0 1 0 0 4 4 1 | * * * * 2
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