Acronym | troct (alt.: octoct octtric) |
Name |
triangle-octahedron duoprism, vertex figure of brag, (oct,oct,oct)-trigonic |
Circumradius | sqrt(5/6) = 0.912871 |
Lace city in approx. ASCII-art |
O O O = o3x3o (oct) O |
Volume | sqrt(6)/12 = 0.204124 |
Face vector | 18, 54, 66, 39, 11 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o x3o4o . . . . . | 18 | 2 4 | 1 8 4 | 4 8 1 | 4 2 ----------+----+-------+---------+---------+---- x . . . . | 2 | 18 * | 1 4 0 | 4 4 0 | 4 1 . . x . . | 2 | * 36 | 0 2 2 | 1 4 1 | 2 2 ----------+----+-------+---------+---------+---- x3o . . . | 3 | 3 0 | 6 * * | 4 0 0 | 4 0 x . x . . | 4 | 2 2 | * 36 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 24 | 0 2 1 | 1 2 ----------+----+-------+---------+---------+---- x3o x . . ♦ 6 | 6 3 | 2 3 0 | 12 * * | 2 0 x . x3o . ♦ 6 | 3 6 | 0 3 2 | * 24 * | 1 1 . . x3o4o ♦ 6 | 0 12 | 0 0 8 | * * 3 | 0 2 ----------+----+-------+---------+---------+---- x3o x3o . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 8 * x . x3o4o ♦ 12 | 6 24 | 0 12 16 | 0 8 2 | * 3
x3o o3x3o . . . . . | 18 | 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 ----------+----+-------+------------+------------+------ x . . . . | 2 | 18 * | 1 4 0 0 | 4 2 2 0 | 2 2 1 . . . x . | 2 | * 36 | 0 2 1 1 | 1 2 2 1 | 1 1 2 ----------+----+-------+------------+------------+------ x3o . . . | 3 | 3 0 | 6 * * * | 4 0 0 0 | 2 2 0 x . . x . | 4 | 2 2 | * 36 * * | 1 1 1 0 | 1 1 1 . . o3x . | 3 | 0 3 | * * 12 * | 0 2 0 1 | 1 0 2 . . . x3o | 3 | 0 3 | * * * 12 | 0 0 2 1 | 0 1 2 ----------+----+-------+------------+------------+------ x3o . x . ♦ 6 | 6 3 | 2 3 0 0 | 12 * * * | 1 1 0 x . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * 12 * * | 1 0 1 x . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * 12 * | 0 1 1 . . o3x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * 3 | 0 0 2 ----------+----+-------+------------+------------+------ x3o o3x . ♦ 9 | 9 9 | 3 9 3 0 | 3 3 0 0 | 4 * * x3o . x3o ♦ 9 | 9 9 | 3 9 0 3 | 3 0 3 0 | * 4 * x . o3x3o ♦ 12 | 6 24 | 0 12 8 8 | 0 4 4 2 | * * 3
ox xx3oo4oo&#x → height = sqrt(3)/2 = 0.866025
(oct || ope)
o. o.3o.4o. | 6 * | 4 2 0 0 | 4 1 8 0 0 | 1 4 8 0 0 | 4 2 0
.o .o3.o4.o | * 12 | 0 1 1 4 | 0 1 4 4 4 | 0 4 4 4 1 | 4 1 1
---------------+------+------------+--------------+-------------+------
.. x. .. .. | 2 0 | 12 * * * | 2 0 2 0 0 | 1 1 4 0 0 | 2 2 0
oo oo3oo4oo&#x | 1 1 | * 12 * * | 0 1 4 0 0 | 0 4 4 0 0 | 4 1 0
.x .. .. .. | 0 2 | * * 6 * | 0 1 0 4 0 | 0 4 0 4 0 | 4 0 1
.. .x .. .. | 0 2 | * * * 24 | 0 0 1 1 2 | 0 1 2 2 1 | 2 1 1
---------------+------+------------+--------------+-------------+------
.. x.3o. .. | 3 0 | 3 0 0 0 | 8 * * * * | 1 0 2 0 0 | 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 6 * * * | 0 4 0 0 0 | 4 0 0
.. xx .. ..&#x | 2 2 | 1 2 0 1 | * * 24 * * | 0 1 2 0 0 | 2 1 0
.x .x .. .. | 0 4 | 0 0 2 2 | * * * 12 * | 0 1 0 2 0 | 2 0 1
.. .x3.o .. | 0 3 | 0 0 0 3 | * * * * 16 | 0 0 1 1 1 | 1 1 1
---------------+------+------------+--------------+-------------+------
.. x.3o.4o. ♦ 6 0 | 12 0 0 0 | 8 0 0 0 0 | 1 * * * * | 0 2 0
ox xx .. ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 1 0 | * 12 * * * | 2 0 0
.. xx3oo ..&#x ♦ 3 3 | 3 3 0 3 | 1 0 3 0 1 | * * 16 * * | 1 1 0
.x .x3.o .. ♦ 0 6 | 0 0 3 6 | 0 0 0 3 2 | * * * 8 * | 1 0 1
.. .x3.o4.o ♦ 0 6 | 0 0 0 12 | 0 0 0 0 8 | * * * * 2 | 0 1 1
---------------+------+------------+--------------+-------------+------
ox xx3oo ..&#x ♦ 3 6 | 3 6 3 6 | 1 3 6 3 2 | 0 3 2 1 0 | 8 * *
.. xx3oo4oo&#x ♦ 6 6 | 12 6 0 12 | 8 0 12 0 8 | 1 0 8 0 1 | * 2 *
.x .x3.o4.o ♦ 0 12 | 0 0 6 24 | 0 0 0 12 16 | 0 0 0 8 2 | * * 1
ox oo3xx3oo&#x → height = sqrt(3)/2 = 0.866025
(oct || ope)
o. o.3o.3o. | 6 * | 4 2 0 0 | 2 2 1 8 0 0 0 | 1 4 4 4 0 0 0 | 2 2 2 0
.o .o3.o3.o | * 12 | 0 1 1 4 | 0 0 1 4 4 2 2 | 0 4 2 2 2 2 1 | 2 2 1 1
---------------+------+------------+-----------------+----------------+--------
.. .. x. .. | 2 0 | 12 * * * | 1 1 0 2 0 0 0 | 1 1 2 2 0 0 0 | 1 1 2 0
oo oo3oo3oo&#x | 1 1 | * 12 * * | 0 0 1 4 0 0 0 | 0 4 2 2 0 0 0 | 2 2 1 0
.x .. .. .. | 0 2 | * * 6 * | 0 0 1 0 4 0 0 | 0 4 0 0 2 2 0 | 2 2 0 1
.. .. .x .. | 0 2 | * * * 24 | 0 0 0 1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
---------------+------+------------+-----------------+----------------+--------
.. o.3x. .. | 3 0 | 3 0 0 0 | 4 * * * * * * | 1 0 2 0 0 0 0 | 1 0 2 0
.. .. x.3o. | 3 0 | 3 0 0 0 | * 4 * * * * * | 1 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 6 * * * * | 0 4 0 0 0 0 0 | 2 2 0 0
.. .. xx ..&#x | 2 2 | 1 2 0 1 | * * * 24 * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * 12 * * | 0 1 0 0 1 1 0 | 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * 8 * | 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * 8 | 0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+------------+-----------------+----------------+--------
.. o.3x.3o. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 | 1 * * * * * * | 0 0 2 0
ox .. xx ..&#x ♦ 2 4 | 1 4 2 2 | 0 0 2 2 1 0 0 | * 12 * * * * * | 1 1 0 0
.. oo3xx ..&#x ♦ 3 3 | 3 3 0 3 | 1 0 0 3 0 1 0 | * * 8 * * * * | 1 0 1 0
.. .. xx3oo&#x ♦ 3 3 | 3 3 0 3 | 0 1 0 3 0 0 1 | * * * 8 * * * | 0 1 1 0
.x .o3.x .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 0 | * * * * 4 * * | 1 0 0 1
.x .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 0 2 | * * * * * 4 * | 0 1 0 1
.. .o3.x3.o ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * 2 | 0 0 1 1
---------------+------+------------+-----------------+----------------+--------
ox oo3xx ..&#x ♦ 3 6 | 3 6 3 6 | 1 0 3 6 3 2 0 | 0 3 2 0 1 0 0 | 4 * * *
ox .. xx3oo&#x ♦ 3 6 | 3 6 3 6 | 0 1 3 6 3 0 2 | 0 3 0 2 0 1 0 | * 4 * *
.. oo3xx3oo&#x ♦ 6 6 | 12 6 0 12 | 4 4 0 12 0 4 4 | 1 0 4 4 0 0 1 | * * 2 *
.x .o3.x3.o ♦ 0 12 | 0 0 6 24 | 0 0 0 0 12 8 8 | 0 0 0 0 4 4 2 | * * * 1
xo3ox xx3oo&#x → height = sqrt(2/3) = 0.816497
(triddip || gyro triddip)
o.3o. o.3o. | 9 * | 2 2 2 0 0 | 1 4 1 2 1 4 0 0 0 | 2 2 1 4 2 2 0 0 | 1 2 2 1 0
.o3.o .o3.o | * 9 | 0 0 2 2 2 | 0 0 0 1 2 4 1 4 1 | 0 0 1 2 4 2 2 2 | 0 2 1 2 1
---------------+-----+------------+--------------------+-----------------+----------
x. .. .. .. | 2 0 | 9 * * * * | 1 2 0 1 0 0 0 0 0 | 2 1 1 2 0 0 0 0 | 1 2 1 0 0
.. .. x. .. | 2 0 | * 9 * * * | 0 2 1 0 0 2 0 0 0 | 1 2 0 2 1 2 0 0 | 1 2 2 1 0
oo3oo oo3oo&#x | 1 1 | * * 18 * * | 0 0 0 1 1 2 0 0 0 | 0 0 1 2 2 1 0 0 | 0 1 1 1 0
.. .x .. .. | 0 2 | * * * 9 * | 0 0 0 0 1 0 1 2 0 | 0 0 1 0 2 0 2 1 | 0 2 0 1 1
.. .. .x .. | 0 2 | * * * * 9 | 0 0 0 0 0 2 0 2 1 | 0 0 0 1 2 2 1 2 | 0 2 1 2 1
---------------+-----+------------+--------------------+-----------------+----------
x.3o. .. .. | 3 0 | 3 0 0 0 0 | 3 * * * * * * * * | 2 0 1 0 0 0 0 0 | 1 2 0 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 | * 9 * * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 0
.. .. x.3o. | 3 0 | 0 3 0 0 0 | * * 3 * * * * * * | 0 2 0 0 0 2 0 0 | 1 0 2 1 0
xo .. .. ..&#x | 2 1 | 1 0 2 0 0 | * * * 9 * * * * * | 0 0 1 2 0 0 0 0 | 0 2 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 2 1 0 | * * * * 9 * * * * | 0 0 1 0 2 0 0 0 | 0 2 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * * 18 * * * | 0 0 0 1 1 1 0 0 | 0 1 1 1 0
.o3.x .. .. | 0 3 | 0 0 0 3 0 | * * * * * * 3 * * | 0 0 1 0 0 0 2 0 | 0 2 0 0 1
.. .x .x .. | 0 4 | 0 0 0 2 2 | * * * * * * * 9 * | 0 0 0 0 1 0 1 1 | 0 1 0 1 1
.. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * * 3 | 0 0 0 0 0 2 0 2 | 0 0 1 2 1
---------------+-----+------------+--------------------+-----------------+----------
x.3o. x. .. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 0 | 3 * * * * * * * | 1 1 0 0 0
x. .. x.3o. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 0 | * 3 * * * * * * | 1 0 1 0 0
xo3ox .. ..&#x ♦ 3 3 | 3 0 6 3 0 | 1 0 0 3 3 0 1 0 0 | * * 3 * * * * * | 0 2 0 0 0
xo .. xx ..&#x ♦ 4 2 | 2 2 4 0 1 | 0 1 0 2 0 2 0 0 0 | * * * 9 * * * * | 0 1 1 0 0
.. ox xx ..&#x ♦ 2 4 | 0 1 4 2 2 | 0 0 0 0 2 2 0 1 0 | * * * * 9 * * * | 0 1 0 1 0
.. .. xx3oo&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 0 3 0 0 1 | * * * * * 6 * * | 0 0 1 1 0
.o3.x .x .. ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 0 2 3 0 | * * * * * * 3 * | 0 1 0 0 1
.. .x .x3.o ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 0 3 2 | * * * * * * * 3 | 0 0 0 1 1
---------------+-----+------------+--------------------+-----------------+----------
x.3o. x.3o. ♦ 9 0 | 9 9 0 0 0 | 3 9 3 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 | 1 * * * *
xo3ox xx ..&#x ♦ 6 6 | 6 6 6 6 6 | 2 3 0 6 6 6 2 3 0 | 1 0 2 3 3 0 1 0 | * 3 * * *
xo .. xx3oo&#x ♦ 6 3 | 3 6 6 0 3 | 0 3 2 3 0 6 0 0 1 | 0 1 0 3 0 2 0 0 | * * 3 * *
.. ox xx3oo&#x ♦ 3 6 | 0 3 6 3 6 | 0 0 1 0 3 6 0 3 2 | 0 0 0 0 3 2 0 1 | * * * 3 *
.o3.x .x3.o ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 | * * * * 1
xxx3ooo oxo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107 o..3o.. o..4o.. | 3 * * | 2 4 0 0 0 0 | 1 8 4 0 0 0 0 0 | 4 8 1 0 0 0 | 4 2 0 .o.3.o. .o.4.o. | * 12 * | 0 1 2 2 1 0 | 0 2 2 1 4 2 2 0 | 1 4 1 2 1 4 | 2 2 2 ..o3..o ..o4..o | * * 3 | 0 0 0 0 4 2 | 0 0 0 0 0 8 4 1 | 0 0 1 0 4 8 | 0 2 4 --------------------+--------+-----------------+----------------------+---------------+------ x.. ... ... ... | 2 0 0 | 3 * * * * * | 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 | 4 1 0 oo.3oo. oo.4oo.&#x | 1 1 0 | * 12 * * * * | 0 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 .x. ... ... ... | 0 2 0 | * * 12 * * * | 0 1 0 1 2 1 0 0 | 1 2 0 2 1 2 | 2 1 2 ... ... .x. ... | 0 2 0 | * * * 12 * * | 0 0 1 0 2 0 1 0 | 0 2 1 1 0 2 | 1 2 1 .oo3.oo .oo4.oo&#x | 0 1 1 | * * * * 12 * | 0 0 0 0 0 2 2 0 | 0 0 1 0 1 4 | 0 2 2 ..x ... ... ... | 0 0 2 | * * * * * 3 | 0 0 0 0 0 4 0 1 | 0 0 0 0 4 4 | 0 1 4 --------------------+--------+-----------------+----------------------+---------------+------ x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * * | 4 0 0 0 0 0 | 4 0 0 xx. ... ... ...&#x | 2 2 0 | 1 2 1 0 0 0 | * 12 * * * * * * | 1 2 0 0 0 0 | 2 1 0 ... ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 12 * * * * * | 0 2 1 0 0 0 | 1 2 0 .x.3.o. ... ... | 0 3 0 | 0 0 3 0 0 0 | * * * 4 * * * * | 1 0 0 2 1 0 | 2 0 2 .x. ... .x. ... | 0 4 0 | 0 0 2 2 0 0 | * * * * 12 * * * | 0 1 0 1 0 1 | 1 1 1 .xx ... ... ...&#x | 0 2 2 | 0 0 1 0 2 1 | * * * * * 12 * * | 0 0 0 0 1 2 | 0 1 2 ... ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * 12 * | 0 0 1 0 0 2 | 0 2 1 ..x3..o ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * 1 | 0 0 0 0 4 0 | 0 0 4 --------------------+--------+-----------------+----------------------+---------------+------ xx.3oo. ... ...&#x ♦ 3 3 0 | 3 3 3 0 0 0 | 1 3 0 1 0 0 0 0 | 4 * * * * * | 2 0 0 xx. ... ox. ...&#x ♦ 2 4 0 | 1 4 2 2 0 0 | 0 2 2 0 1 0 0 0 | * 12 * * * * | 1 1 0 ... ... oxo4ooo&#xt ♦ 1 4 1 | 0 4 0 4 4 0 | 0 0 4 0 0 0 4 0 | * * 3 * * * | 0 2 0 .x.3.o. .x. ... ♦ 0 6 0 | 0 0 6 3 0 0 | 0 0 0 2 3 0 0 0 | * * * 4 * * | 1 0 1 .xx3.oo ... ...&#x ♦ 0 3 3 | 0 0 3 0 3 3 | 0 0 0 1 0 3 0 1 | * * * * 4 * | 0 0 2 .xx ... .xo ...&#x ♦ 0 4 2 | 0 0 2 2 4 1 | 0 0 0 0 1 2 2 0 | * * * * * 12 | 0 1 1 --------------------+--------+-----------------+----------------------+---------------+------ xx.3oo. ox. ...&#x ♦ 3 6 0 | 3 6 6 3 0 0 | 1 6 3 2 3 0 0 0 | 2 3 0 1 0 0 | 4 * * xxx ... oxo4ooo&#xt ♦ 2 8 2 | 1 8 4 8 8 1 | 0 4 8 0 4 4 8 0 | 0 4 2 0 0 4 | * 3 * .xx3.oo .xo ...&#x ♦ 0 6 3 | 0 0 6 3 6 3 | 0 0 0 2 3 6 3 1 | 0 0 0 1 2 3 | * * 4
ooo3xxx3ooo&#x → all pairwise heights = 1 o..3o..3o.. | 6 * * | 4 1 1 0 0 0 | 2 2 4 1 4 0 0 0 0 0 | 1 2 2 4 2 2 0 0 0 0 | 1 2 2 1 0 .o.3.o.3.o. | * 6 * | 0 1 0 4 1 0 | 0 0 4 1 0 2 2 4 0 0 | 0 2 2 4 0 0 1 2 2 0 | 1 2 2 0 1 ..o3..o3..o | * * 6 | 0 0 1 0 1 4 | 0 0 0 1 4 0 0 4 2 2 | 0 0 0 4 2 2 0 2 2 1 | 0 2 2 1 1 ---------------+-------+----------------+------------------------+----------------------+---------- ... x.. ... | 2 0 0 | 12 * * * * * | 1 1 1 0 1 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 oo.3oo.3oo.&#x | 1 1 0 | * 6 * * * * | 0 0 4 1 0 0 0 0 0 0 | 0 2 2 4 0 0 0 0 0 0 | 1 2 2 0 0 o.o3o.o3o.o&#x | 1 0 1 | * * 6 * * * | 0 0 0 1 4 0 0 0 0 0 | 0 0 0 4 2 2 0 0 0 0 | 0 2 2 1 0 ... .x. ... | 0 2 0 | * * * 12 * * | 0 0 1 0 0 1 1 1 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1 .oo3.oo3.oo&#x | 0 1 1 | * * * * 6 * | 0 0 0 1 0 0 0 4 0 0 | 0 0 0 4 0 0 0 2 2 0 | 0 2 2 0 1 ... ..x ... | 0 0 2 | * * * * * 12 | 0 0 0 0 1 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1 ---------------+-------+----------------+------------------------+----------------------+---------- o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 | 4 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 0 1 0 ... x..3o.. | 3 0 0 | 3 0 0 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 0 1 1 0 ... xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 | * * 12 * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * 6 * * * * * * | 0 0 0 4 0 0 0 0 0 0 | 0 2 2 0 0 ... x.x ...&#x | 2 0 2 | 1 0 2 0 0 1 | * * * * 12 * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * 4 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 | * * * * * * 4 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 ... .xx ...&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * * 12 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 ..o3..x ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 4 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ... ..x3..o | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 4 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-------+----------------+------------------------+----------------------+---------- o..3x..3o.. ♦ 6 0 0 | 12 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 0 0 1 0 oo.3xx. ...&#x ♦ 3 3 0 | 3 3 0 3 0 0 | 1 0 3 0 0 1 0 0 0 0 | * 4 * * * * * * * * | 1 1 0 0 0 ... xx.3oo.&#x ♦ 3 3 0 | 3 3 0 3 0 0 | 0 1 3 0 0 0 1 0 0 0 | * * 4 * * * * * * * | 1 0 1 0 0 ... xxx ...&#x ♦ 2 2 2 | 1 2 2 1 2 1 | 0 0 1 2 1 0 0 1 0 0 | * * * 12 * * * * * * | 0 1 1 0 0 o.o3x.x ...&#x ♦ 3 0 3 | 3 0 3 0 0 3 | 1 0 0 0 3 0 0 0 1 0 | * * * * 4 * * * * * | 0 1 0 1 0 ... x.x3o.o&#x ♦ 3 0 3 | 3 0 3 0 0 3 | 0 1 0 0 3 0 0 0 0 1 | * * * * * 4 * * * * | 0 0 1 1 0 .o.3.x.3.o. ♦ 0 6 0 | 0 0 0 12 0 0 | 0 0 0 0 0 4 4 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .oo3.xx ...&#x ♦ 0 3 3 | 0 0 0 3 3 3 | 0 0 0 0 0 1 0 3 1 0 | * * * * * * * 4 * * | 0 1 0 0 1 ... .xx3.oo&#x ♦ 0 3 3 | 0 0 0 3 3 3 | 0 0 0 0 0 0 1 3 0 1 | * * * * * * * * 4 * | 0 0 1 0 1 ..o3..x3..o ♦ 0 0 6 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * 1 | 0 0 0 1 1 ---------------+-------+----------------+------------------------+----------------------+---------- oo.3xx.3oo.&#x ♦ 6 6 0 | 12 6 0 12 0 0 | 4 4 12 0 0 4 4 0 0 0 | 1 4 4 0 0 0 1 0 0 0 | 1 * * * * ooo3xxx ...&#x ♦ 3 3 3 | 3 3 3 3 3 3 | 1 0 3 3 3 1 0 3 1 0 | 0 1 0 3 1 0 0 1 0 0 | * 4 * * * ... xxx3ooo&#x ♦ 3 3 3 | 3 3 3 3 3 3 | 0 1 3 3 3 0 1 3 0 1 | 0 0 1 3 0 1 0 0 1 0 | * * 4 * * o.o3x.x3o.o&#x ♦ 6 0 6 | 12 0 6 0 0 12 | 4 4 0 0 12 0 0 0 4 4 | 1 0 0 0 4 4 0 0 0 1 | * * * 1 * .oo3.xx3.oo&#x ♦ 0 6 6 | 0 0 0 12 6 12 | 0 0 0 0 0 4 4 12 4 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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