| Acronym | tratet (alt.: tettet tettric) |
| Name |
triangle - tetrahedron duoprism, triangle duofastegium, vertex figure of bril, (tet,tet,tet)-trigonic |
| Circumradius | sqrt(17/24) = 0.841625 |
|
Lace city in approx. ASCII-art |
x3o3o -- o x3o3o (tet)
x3o3o x3o3o -- x x3o3o (tepe)
|
x x3o -- x o x3o (trip)
o x3o o x3o -- o x x3o (lacing ortho trip)
| |
x x3o x o3o -- x x3o3o (tepe) o x3o o o3o -- o x3o3o (tet) | +-- x3o o3o ({3}) +---------- x3o x3o (triddip) | |
x o x x o o -- x o x3o (trip) o x x o x o -- o x x3o (lacing ortho trip) | +-- x3o3o o (tet) +------------ x3o3o x (tepe) | |
| Volume | sqrt(6)/48 = 0.051031 |
| Face vector | 12, 30, 34, 21, 7 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o x3o3o . . . . . | 12 | 2 3 | 1 6 3 | 3 6 1 | 3 2 ----------+----+-------+---------+--------+---- x . . . . | 2 | 12 * | 1 3 0 | 3 3 0 | 3 1 . . x . . | 2 | * 18 | 0 2 2 | 1 4 1 | 2 2 ----------+----+-------+---------+--------+---- x3o . . . | 3 | 3 0 | 4 * * | 3 0 0 | 3 0 x . x . . | 4 | 2 2 | * 18 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 12 | 0 2 1 | 1 2 ----------+----+-------+---------+--------+---- x3o x . . ♦ 6 | 6 3 | 2 3 0 | 6 * * | 2 0 x . x3o . ♦ 6 | 3 6 | 0 3 2 | * 12 * | 1 1 . . x3o3o ♦ 4 | 0 6 | 0 0 4 | * * 3 | 0 2 ----------+----+-------+---------+--------+---- x3o x3o . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 4 * x . x3o3o ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 3
x3o2o3o4s
demi( . . . . . ) | 12 | 2 3 | 1 6 3 | 3 1 6 | 2 3
------------------+----+-------+---------+--------+----
demi( x . . . . ) | 2 | 12 * | 1 3 0 | 3 0 3 | 1 3
. . . o4s | 2 | * 18 | 0 2 2 | 1 1 4 | 2 2
------------------+----+-------+---------+--------+----
demi( x3o . . . ) | 3 | 3 0 | 4 * * | 3 0 0 | 0 3
x 2 . o4s | 4 | 2 2 | * 18 * | 1 0 2 | 1 2
sefa( . . o3o4s ) | 3 | 0 3 | * * 12 | 0 1 2 | 2 1
------------------+----+-------+---------+--------+----
x3o 2 o4s ♦ 6 | 6 3 | 2 3 0 | 6 * * | 0 2
. . o3o4s ♦ 4 | 0 6 | 0 0 4 | * 3 * | 2 0
sefa( x 2 o3o4s ) ♦ 6 | 3 6 | 0 3 2 | * * 12 | 1 1
------------------+----+-------+---------+--------+----
x 2 o3o4s ♦ 8 | 4 12 | 0 6 8 | 0 2 4 | 3 *
sefa( x3o2o3o4s ) ♦ 9 | 9 9 | 3 9 3 | 3 0 3 | * 4
starting figure: x3o o3o4x
xx3oo ox3oo&#x → height = sqrt(2/3) = 0.816497
({3} || triddip)
o.3o. o.3o. | 3 * | 2 3 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0
.o3.o .o3.o | * 9 | 0 1 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1
---------------+-----+---------+-------------+-----------+------
x. .. .. .. | 2 0 | 3 * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0
oo3oo oo3oo&#x | 1 1 | * 9 * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0
.x .. .. .. | 0 2 | * * 9 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1
.. .. .x .. | 0 2 | * * * 9 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1
---------------+-----+---------+-------------+-----------+------
x.3o. .. .. | 3 0 | 3 0 0 0 | 1 * * * * * | 3 0 0 0 0 | 3 0 0
xx .. .. ..&#x | 2 2 | 1 2 1 0 | * 9 * * * * | 1 2 0 0 0 | 2 1 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 9 * * * | 0 2 1 0 0 | 1 2 0
.x3.o .. .. | 0 3 | 0 0 3 0 | * * * 3 * * | 1 0 0 2 0 | 2 0 1
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * 9 * | 0 1 0 1 1 | 1 1 1
.. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * 3 | 0 0 1 0 2 | 0 2 1
---------------+-----+---------+-------------+-----------+------
xx3oo .. ..&#x ♦ 3 3 | 3 3 3 0 | 1 3 0 1 0 0 | 3 * * * * | 2 0 0
xx .. ox ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * 9 * * * | 1 1 0
.. .. ox3oo&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 | * * 3 * * | 0 2 0
.x3.o .x .. ♦ 0 6 | 0 0 6 3 | 0 0 0 2 3 0 | * * * 3 * | 1 0 1
.x .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 | * * * * 3 | 0 1 1
---------------+-----+---------+-------------+-----------+------
xx3oo ox ..&#x ♦ 3 6 | 3 6 6 3 | 1 6 3 2 3 0 | 2 3 0 1 0 | 3 * *
xx .. ox3oo&#x ♦ 2 6 | 1 6 3 6 | 0 3 6 0 3 2 | 0 3 2 0 1 | * 3 *
.x3.o .x3.o ♦ 0 9 | 0 0 9 9 | 0 0 0 3 9 3 | 0 0 0 3 3 | * * 1
ox xx3oo3oo&#x → height = sqrt(3)/2 = 0.866025
(tet || tepe)
o. o.3o.3o. | 4 * | 3 2 0 0 | 3 1 6 0 0 | 1 3 6 0 0 | 3 2 0
.o .o3.o3.o | * 8 | 0 1 1 3 | 0 1 3 3 3 | 0 3 3 3 1 | 3 1 1
---------------+-----+----------+------------+-----------+------
.. x. .. .. | 2 0 | 6 * * * | 2 0 2 0 0 | 1 1 4 0 0 | 2 2 0
oo oo3oo3oo&#x | 1 1 | * 8 * * | 0 1 3 0 0 | 0 3 3 0 0 | 3 1 0
.x .. .. .. | 0 2 | * * 4 * | 0 1 0 3 0 | 0 3 0 3 0 | 3 0 1
.. .x .. .. | 0 2 | * * * 12 | 0 0 1 1 2 | 0 1 2 2 1 | 2 1 1
---------------+-----+----------+------------+-----------+------
.. x.3o. .. | 3 0 | 3 0 0 0 | 4 * * * * | 1 0 2 0 0 | 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 4 * * * | 0 3 0 0 0 | 3 0 0
.. xx .. ..&#x | 2 2 | 1 2 0 1 | * * 12 * * | 0 1 2 0 0 | 2 1 0
.x .x .. .. | 0 4 | 0 0 2 2 | * * * 6 * | 0 1 0 2 0 | 2 0 1
.. .x3.o .. | 0 3 | 0 0 0 3 | * * * * 8 | 0 0 1 1 1 | 1 1 1
---------------+-----+----------+------------+-----------+------
.. x.3o.3o. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 | 1 * * * * | 0 2 0
ox xx .. ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 1 0 | * 6 * * * | 2 0 0
.. xx3oo ..&#x ♦ 3 3 | 3 3 0 3 | 1 0 3 0 1 | * * 8 * * | 1 1 0
.x .x3.o .. ♦ 0 6 | 0 0 3 6 | 0 0 0 3 2 | * * * 4 * | 1 0 1
.. .x3.o3.o ♦ 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 2 | 0 1 1
---------------+-----+----------+------------+-----------+------
ox xx3oo ..&#x ♦ 3 6 | 3 6 3 6 | 1 3 6 3 2 | 0 3 2 1 0 | 4 * *
.. xx3oo3oo&#x ♦ 4 4 | 6 4 0 6 | 4 0 6 0 4 | 1 0 4 0 1 | * 2 *
.x .x3.o3.o ♦ 0 8 | 0 0 4 12 | 0 0 0 6 8 | 0 0 0 4 2 | * * 1
ox xo xx3oo&#x → height = 1/sqrt(2) = 0.707107
(trip || lacing-ortho trip)
o. o. o.3o. | 6 * | 1 2 2 0 0 | 2 1 1 2 4 0 0 | 1 1 2 4 2 0 | 2 1 2
.o .o .o3.o | * 6 | 0 0 2 1 2 | 0 0 2 1 4 2 1 | 0 1 4 2 2 1 | 2 2 1
---------------+-----+------------+----------------+-------------+------
.. x. .. .. | 2 0 | 3 * * * * | 2 0 0 2 0 0 0 | 1 1 0 2 0 0 | 2 0 2
.. .. x. .. | 2 0 | * 6 * * * | 1 1 0 0 2 0 0 | 1 0 1 2 2 0 | 1 1 2
oo oo oo3oo&#x | 1 1 | * * 12 * * | 0 0 1 1 2 0 0 | 0 1 2 2 1 0 | 2 1 1
.x .. .. .. | 0 2 | * * * 3 * | 0 0 2 0 0 2 0 | 0 1 4 0 0 1 | 2 2 0
.. .. .x .. | 0 2 | * * * * 6 | 0 0 0 0 2 1 1 | 0 0 2 1 2 1 | 1 2 1
---------------+-----+------------+----------------+-------------+------
.. x. x. .. | 4 0 | 2 2 0 0 0 | 3 * * * * * * | 1 0 0 2 0 0 | 1 0 2
.. .. x.3o. | 3 0 | 0 3 0 0 0 | * 2 * * * * * | 1 0 0 0 2 0 | 0 1 2
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 | * * 6 * * * * | 0 1 2 0 0 0 | 2 1 0
.. xo .. ..&#x | 2 1 | 1 0 2 0 0 | * * * 6 * * * | 0 1 0 2 0 0 | 2 0 1
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 12 * * | 0 0 1 1 1 0 | 1 1 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * 3 * | 0 0 2 0 0 1 | 1 2 0
.. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * 2 | 0 0 0 0 2 1 | 0 2 1
---------------+-----+------------+----------------+-------------+------
.. x. x.3o. ♦ 6 0 | 3 6 0 0 0 | 3 2 0 0 0 0 0 | 1 * * * * * | 0 0 2
ox xo .. ..&#x ♦ 2 2 | 1 0 4 1 0 | 0 0 2 2 0 0 0 | * 3 * * * * | 2 0 0
ox .. xx ..&#x ♦ 2 4 | 0 1 4 2 2 | 0 0 2 0 2 1 0 | * * 6 * * * | 1 1 0
.. xo xx ..&#x ♦ 4 2 | 2 2 4 0 1 | 1 0 0 2 2 0 0 | * * * 6 * * | 1 0 1
.. .. xx3oo&#x ♦ 3 3 | 0 3 3 0 3 | 0 1 0 0 3 0 1 | * * * * 4 * | 0 1 1
.x .. .x3.o ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * 1 | 0 2 0
---------------+-----+------------+----------------+-------------+------
ox xo xx ..&#x ♦ 4 4 | 2 2 8 2 2 | 1 0 4 4 4 1 0 | 0 2 2 2 0 0 | 3 * *
ox .. xx3oo&#x ♦ 3 6 | 0 3 6 3 6 | 0 1 3 0 6 3 2 | 0 0 3 0 2 1 | * 2 *
.. xo xx3oo&#x ♦ 6 3 | 3 6 6 0 3 | 3 2 0 3 6 0 1 | 1 0 0 3 2 0 | * * 2
or o. o. o.3o. & | 12 | 1 2 2 | 2 1 3 4 | 1 1 6 2 | 2 3 -----------------+----+---------+-----------+----------+---- .. x. .. .. & | 2 | 6 * * | 2 0 2 0 | 1 1 4 0 | 2 2 .. .. x. .. & | 2 | * 12 * | 1 1 0 2 | 1 0 3 2 | 1 3 oo oo oo3oo&#x | 2 | * * 12 | 0 0 2 2 | 0 1 4 1 | 2 2 -----------------+----+---------+-----------+----------+---- .. x. x. .. & | 4 | 2 2 0 | 6 * * * | 1 0 2 0 | 1 2 .. .. x.3o. & | 3 | 0 3 0 | * 4 * * | 1 0 0 2 | 0 3 ox .. .. ..&#x & | 3 | 1 0 2 | * * 12 * | 0 1 2 0 | 2 1 .. .. xx ..&#x | 4 | 0 2 2 | * * * 12 | 0 0 2 1 | 1 2 -----------------+----+---------+-----------+----------+---- .. x. x.3o. & ♦ 6 | 3 6 0 | 3 2 0 0 | 2 * * * | 0 2 ox xo .. ..&#x ♦ 4 | 2 0 4 | 0 0 4 0 | * 3 * * | 2 0 ox .. xx ..&#x & ♦ 6 | 2 3 4 | 1 0 2 2 | * * 12 * | 1 1 .. .. xx3oo&#x ♦ 6 | 0 6 3 | 0 2 0 3 | * * * 4 | 0 2 -----------------+----+---------+-----------+----------+---- ox xo xx ..&#x ♦ 8 | 4 4 8 | 2 0 8 4 | 0 2 4 0 | 3 * ox .. xx3oo&#x & ♦ 9 | 3 9 6 | 3 3 3 6 | 1 0 3 2 | * 4
ooo3ooo3xxx&#x → all heights = 1 o..3o..3o.. | 4 * * | 3 1 1 0 0 0 | 3 3 3 1 0 0 0 | 1 3 3 3 0 0 0 | 1 1 3 0 .o.3.o.3.o. | * 4 * | 0 1 0 3 1 0 | 0 3 0 1 3 3 0 | 0 3 0 3 1 3 0 | 1 0 3 1 ..o3..o3..o | * * 4 | 0 0 1 0 1 3 | 0 0 3 1 0 3 3 | 0 0 3 3 0 3 1 | 0 1 3 1 ---------------+-------+-------------+---------------+---------------+-------- ... ... x.. | 2 0 0 | 6 * * * * * | 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 oo.3oo.3oo.&#x | 1 1 0 | * 4 * * * * | 0 3 0 1 0 0 0 | 0 3 0 3 0 0 0 | 1 0 3 0 o.o3o.o3o.o&#x | 1 0 1 | * * 4 * * * | 0 0 3 1 0 0 0 | 0 0 3 3 0 0 0 | 0 1 3 0 ... ... .x. | 0 2 0 | * * * 6 * * | 0 1 0 0 2 1 0 | 0 2 0 1 1 2 0 | 1 0 2 1 .oo3.oo3.oo&#x | 0 1 1 | * * * * 4 * | 0 0 0 1 0 3 0 | 0 0 0 3 0 3 0 | 0 0 3 1 ... ... ..x | 0 0 2 | * * * * * 6 | 0 0 1 0 0 1 2 | 0 0 2 1 0 2 1 | 0 1 2 1 ---------------+-------+-------------+---------------+---------------+-------- ... o..3x.. | 3 0 0 | 3 0 0 0 0 0 | 4 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 ... ... xx.&#x | 2 2 0 | 1 2 0 1 0 0 | * 6 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 ... ... x.x&#x | 2 0 2 | 1 0 2 0 0 1 | * * 6 * * * * | 0 0 2 1 0 0 0 | 0 2 1 0 ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * 4 * * * | 0 0 0 3 0 0 0 | 0 0 3 0 ... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 | * * * * 4 * * | 0 1 0 0 1 1 0 | 1 0 1 1 ... ... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * 6 * | 0 0 0 1 0 2 0 | 0 0 2 1 ... ..o3..x | 0 0 3 | 0 0 0 0 0 3 | * * * * * * 4 | 0 0 1 0 0 1 1 | 0 1 1 1 ---------------+-------+-------------+---------------+---------------+-------- o..3o..3x.. ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 | 1 * * * * * * | 1 1 0 0 ... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 3 0 0 | 1 3 0 0 1 0 0 | * 4 * * * * * | 1 0 1 0 ... o.o3x.x&#x ♦ 3 0 3 | 3 0 3 0 0 3 | 1 0 3 0 0 0 1 | * * 4 * * * * | 0 1 1 0 ... ... xxx&#x ♦ 2 2 2 | 1 2 2 1 2 1 | 0 1 1 2 0 1 0 | * * * 6 * * * | 0 0 2 0 .o.3.o.3.x. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 4 0 0 | * * * * 1 * * | 1 0 0 1 ... .oo3.xx&#x ♦ 0 3 3 | 0 0 0 3 3 3 | 0 0 0 0 1 3 1 | * * * * * 4 * | 0 0 1 1 ..o3..o3..x ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * 1 | 0 1 0 1 ---------------+-------+-------------+---------------+---------------+-------- oo.3oo.3xx.&#x ♦ 4 4 0 | 6 4 0 6 0 0 | 4 6 0 0 4 0 0 | 1 4 0 0 1 0 0 | 1 * * * o.o3o.o3x.x&#x ♦ 4 0 4 | 6 0 4 0 0 6 | 4 0 6 0 0 0 4 | 1 0 4 0 0 0 1 | * 1 * * ... ooo3xxx&#x ♦ 3 3 3 | 3 3 3 3 3 3 | 1 3 3 3 1 3 1 | 0 1 1 3 0 1 0 | * * 4 * .oo3.oo3.xx&#x ♦ 0 4 4 | 0 0 0 6 4 6 | 0 0 0 0 4 6 4 | 0 0 0 0 1 4 1 | * * * 1
oox ooo3xxx&#x → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(3)/2 = 0.866025
o.. o..3o.. | 3 * * | 2 1 2 0 0 0 0 | 1 2 1 4 2 0 0 0 0 0 | 1 2 2 1 4 0 0 0 | 1 2 2 0
.o. .o.3.o. | * 3 * | 0 1 0 2 2 0 0 | 0 2 0 0 2 1 1 4 0 0 | 1 0 0 1 4 2 2 0 | 0 2 2 1
..o ..o3..o | * * 6 | 0 0 1 0 1 1 2 | 0 0 1 2 1 0 1 2 2 1 | 0 2 1 1 2 2 1 1 | 1 2 1 1
---------------+-------+---------------+---------------------+-----------------+--------
... ... x.. | 2 0 0 | 3 * * * * * * | 1 1 0 2 0 0 0 0 0 0 | 1 1 2 0 2 0 0 0 | 1 1 2 0
oo. oo. oo.&#x | 1 1 0 | * 3 * * * * * | 0 2 0 0 2 0 0 0 0 0 | 1 0 0 1 4 0 0 0 | 0 2 2 0
o.o o.o3o.o&#x | 1 0 1 | * * 6 * * * * | 0 0 1 2 1 0 0 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0
... ... .x. | 0 2 0 | * * * 3 * * * | 0 1 0 0 0 1 0 2 0 0 | 1 0 0 0 2 1 2 0 | 0 1 2 1
.oo .oo3.oo&#x | 0 1 1 | * * * * 6 * * | 0 0 0 0 1 0 1 2 0 0 | 0 0 0 1 2 2 1 0 | 0 2 1 1
..x ... ... | 0 0 2 | * * * * * 3 * | 0 0 1 0 0 0 1 0 2 0 | 0 2 0 1 0 2 0 1 | 1 2 0 1
... ... ..x | 0 0 2 | * * * * * * 6 | 0 0 0 1 0 0 0 1 1 1 | 0 1 1 0 1 1 1 1 | 1 1 1 1
---------------+-------+---------------+---------------------+-----------------+--------
... o..3x.. | 3 0 0 | 3 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 0 2 0 0 0 0 0 | 1 0 2 0
... ... xx.&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 3 * * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 1 0 | * * 3 * * * * * * * | 0 2 0 1 0 0 0 0 | 1 2 0 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * 6 * * * * * * | 0 1 1 0 1 0 0 0 | 1 1 1 0
ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 0 | * * * * 6 * * * * * | 0 0 0 1 2 0 0 0 | 0 2 1 0
... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 0 | * * * * * 1 * * * * | 1 0 0 0 0 0 2 0 | 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0 0 2 1 0 | * * * * * * 3 * * * | 0 0 0 1 0 2 0 0 | 0 2 0 1
... ... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * 6 * * | 0 0 0 0 1 1 1 0 | 0 1 1 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * 3 * | 0 1 0 0 0 1 0 1 | 1 1 0 1
... ..o3..x | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * 2 | 0 0 1 0 0 0 1 1 | 1 0 1 1
---------------+-------+---------------+---------------------+-----------------+--------
... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 | 1 3 0 0 0 1 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
o.x ... x.x&#x ♦ 2 0 4 | 1 0 4 0 0 2 2 | 0 0 2 2 0 0 0 0 1 0 | * 3 * * * * * * | 1 1 0 0
... o.o3x.x&#x ♦ 3 0 3 | 3 0 3 0 0 0 3 | 1 0 0 3 0 0 0 0 0 1 | * * 2 * * * * * | 1 0 1 0
oox ... ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 0 | 0 0 1 0 2 0 1 0 0 0 | * * * 3 * * * * | 0 2 0 0
... ... xxx&#x ♦ 2 2 2 | 1 2 2 1 2 0 1 | 0 1 0 1 2 0 0 1 0 0 | * * * * 6 * * * | 0 1 1 0
.ox ... .xx&#x ♦ 0 2 4 | 0 0 0 1 4 2 2 | 0 0 0 0 0 0 2 2 1 0 | * * * * * 3 * * | 0 1 0 1
... .oo3.xx&#x ♦ 0 3 3 | 0 0 0 3 3 0 3 | 0 0 0 0 0 1 0 3 0 1 | * * * * * * 2 * | 0 0 1 1
..x ..o3..x ♦ 0 0 6 | 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 3 2 | * * * * * * * 1 | 1 0 0 1
---------------+-------+---------------+---------------------+-----------------+--------
o.x o.o3x.x&#x ♦ 3 0 6 | 3 0 6 0 0 3 6 | 1 0 3 6 0 0 0 0 3 2 | 0 3 2 0 0 0 0 1 | 1 * * *
oox ... xxx&#x ♦ 2 2 4 | 1 2 4 1 4 2 2 | 0 1 2 2 4 0 2 2 1 0 | 0 1 0 2 2 1 0 0 | * 3 * *
... ooo3xxx&#x ♦ 3 3 3 | 3 3 3 3 3 0 3 | 1 3 0 3 3 1 0 3 0 1 | 1 0 1 0 3 0 1 0 | * * 2 *
.ox .oo3.xx&#x ♦ 0 3 6 | 0 0 0 3 6 3 6 | 0 0 0 0 0 1 3 6 3 2 | 0 0 0 0 0 3 2 1 | * * * 1
xxoo xoox3oooo&#xr → height(1,2) = height(3,4) = sqrt(2/3) = 0.816497
height(2,3) = height(4,1) = sqrt(3)/2 = 0.866025
(cycle of trip, lacing-para line, pt, {3})
o... o...3o... | 6 * * * | 1 2 1 1 0 0 0 0 | 2 1 1 2 1 2 1 0 0 0 | 1 2 1 2 1 1 2 0 | 1 1 2 1
.o.. .o..3.o.. | * 2 * * | 0 0 3 0 1 1 0 0 | 0 0 3 3 0 0 3 1 0 0 | 0 3 1 0 0 3 3 0 | 1 0 3 1
..o. ..o.3..o. | * * 1 * | 0 0 0 0 0 2 3 0 | 0 0 0 0 0 0 6 1 3 0 | 0 0 0 0 0 3 6 1 | 0 0 3 2
...o ...o3...o | * * * 3 | 0 0 0 2 0 0 1 2 | 0 0 0 0 1 4 2 0 2 1 | 0 0 0 2 2 1 4 1 | 0 1 2 2
-------------------+---------+-----------------+---------------------+-----------------+--------
x... .... .... | 2 0 0 0 | 3 * * * * * * * | 2 0 1 0 1 0 0 0 0 0 | 1 2 0 2 0 1 0 0 | 1 1 2 0
.... x... .... | 2 0 0 0 | * 6 * * * * * * | 1 1 0 1 0 1 0 0 0 0 | 1 1 1 1 1 0 1 0 | 1 1 1 1
oo.. oo..3oo..&#x | 1 1 0 0 | * * 6 * * * * * | 0 0 1 2 0 0 1 0 0 0 | 0 2 1 0 0 1 2 0 | 1 0 2 1
o..o o..o3o..o&#x | 1 0 0 1 | * * * 6 * * * * | 0 0 0 0 1 2 1 0 0 0 | 0 0 0 2 1 1 2 0 | 0 1 2 1
.x.. .... .... | 0 2 0 0 | * * * * 1 * * * | 0 0 3 0 0 0 0 1 0 0 | 0 3 0 0 0 3 0 0 | 1 0 3 0
.oo. .oo.3.oo.&#x | 0 1 1 0 | * * * * * 2 * * | 0 0 0 0 0 0 3 1 0 0 | 0 0 0 0 0 3 3 0 | 0 0 3 1
..oo ..oo3..oo&#x | 0 0 1 1 | * * * * * * 3 * | 0 0 0 0 0 0 2 0 2 0 | 0 0 0 0 0 1 4 1 | 0 0 2 2
.... ...x .... | 0 0 0 2 | * * * * * * * 3 | 0 0 0 0 0 2 0 0 1 1 | 0 0 0 1 2 0 2 1 | 0 1 1 2
-------------------+---------+-----------------+---------------------+-----------------+--------
x... x... .... | 4 0 0 0 | 2 2 0 0 0 0 0 0 | 3 * * * * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0
.... x...3o... | 3 0 0 0 | 0 3 0 0 0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1
xx.. .... ....&#x | 2 2 0 0 | 1 0 2 0 1 0 0 0 | * * 3 * * * * * * * | 0 2 0 0 0 1 0 0 | 1 0 2 0
.... xo.. ....&#x | 2 1 0 0 | 0 1 2 0 0 0 0 0 | * * * 6 * * * * * * | 0 1 1 0 0 0 1 0 | 1 0 1 1
x..o .... ....&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 | * * * * 3 * * * * * | 0 0 0 2 0 1 0 0 | 0 1 2 0
.... x..x ....&#x | 2 0 0 2 | 0 1 0 2 0 0 0 1 | * * * * * 6 * * * * | 0 0 0 1 1 0 1 0 | 0 1 1 1
oooo oooo3oooo&#xr | 1 1 1 1 | 0 0 1 1 0 1 1 0 | * * * * * * 6 * * * | 0 0 0 0 0 1 2 0 | 0 0 2 1
.xo. .... ....&#x | 0 2 1 0 | 0 0 0 0 1 2 0 0 | * * * * * * * 1 * * | 0 0 0 0 0 3 0 0 | 0 0 3 0
.... ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 2 1 | * * * * * * * * 3 * | 0 0 0 0 0 0 2 1 | 0 0 1 2
.... ...x3...o | 0 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * 1 | 0 0 0 0 2 0 0 1 | 0 1 0 2
-------------------+---------+-----------------+---------------------+-----------------+--------
x... x...3o... ♦ 6 0 0 0 | 3 6 0 0 0 0 0 0 | 3 2 0 0 0 0 0 0 0 0 | 1 * * * * * * * | 1 1 0 0
xx.. xo.. ....&#x ♦ 4 2 0 0 | 2 2 4 0 1 0 0 0 | 1 0 2 2 0 0 0 0 0 0 | * 3 * * * * * * | 1 0 1 0
.... xo..3oo..&#x ♦ 3 1 0 0 | 0 3 3 0 0 0 0 0 | 0 1 0 3 0 0 0 0 0 0 | * * 2 * * * * * | 1 0 0 1
x..o x..x ....&#x ♦ 4 0 0 2 | 2 2 0 4 0 0 0 1 | 1 0 0 0 2 2 0 0 0 0 | * * * 3 * * * * | 0 1 1 0
.... x..x3o..o&#x ♦ 3 0 0 3 | 0 3 0 3 0 0 0 3 | 0 1 0 0 0 3 0 0 0 1 | * * * * 2 * * * | 0 1 0 1
xxoo .... ....&#xr ♦ 2 2 1 1 | 1 0 2 2 1 2 1 0 | 0 0 1 0 1 0 2 1 0 0 | * * * * * 3 * * | 0 0 2 0
.... xoox ....&#xr ♦ 2 1 1 2 | 0 1 2 2 0 1 2 1 | 0 0 0 1 0 1 2 0 1 0 | * * * * * * 6 * | 0 0 1 1
.... ..ox3..oo&#x ♦ 0 0 1 3 | 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 3 1 | * * * * * * * 1 | 0 0 0 2
-------------------+---------+-----------------+---------------------+-----------------+--------
xx.. xo..3oo..&#x ♦ 6 2 0 0 | 3 6 6 0 1 0 0 0 | 3 2 3 6 0 0 0 0 0 0 | 1 3 2 0 0 0 0 0 | 1 * * *
x..o x..x3o..o&#x ♦ 6 0 0 3 | 3 6 0 6 0 0 0 3 | 3 2 0 0 3 6 0 0 0 1 | 1 0 0 3 2 0 0 0 | * 1 * *
xxoo xoox ....&#xr ♦ 4 2 1 2 | 2 2 4 4 1 2 2 1 | 1 0 2 2 2 2 4 1 1 0 | 0 1 0 1 0 2 2 0 | * * 3 *
.... xoox3oooo&#xr ♦ 3 1 1 3 | 0 3 3 3 0 1 3 3 | 0 1 0 3 0 3 3 0 3 1 | 0 0 1 0 1 0 3 1 | * * * 2
oooo3xxxx&#x → all pairwise heights = 1 o...3o... | 3 * * * | 2 1 1 1 0 0 0 0 0 0 | 1 2 1 1 2 1 2 0 0 0 0 0 0 0 | 1 2 1 2 1 2 1 0 0 0 0 | 1 2 1 1 0 .o..3.o.. | * 3 * * | 0 1 0 0 2 1 1 0 0 0 | 0 2 1 1 0 0 0 1 2 1 2 0 0 0 | 1 2 1 2 0 0 0 1 2 1 0 | 1 2 1 0 1 ..o.3..o. | * * 3 * | 0 0 1 0 0 1 0 2 1 0 | 0 0 1 0 2 1 0 0 2 1 0 1 2 0 | 0 2 1 0 1 2 0 1 2 0 1 | 1 2 0 1 1 ...o3...o | * * * 3 | 0 0 0 1 0 0 1 0 1 2 | 0 0 0 1 0 1 2 0 0 1 2 0 2 1 | 0 0 1 2 0 2 1 0 2 1 1 | 0 2 1 1 1 -------------+---------+---------------------+-----------------------------+-----------------------+---------- .... x... | 2 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 1 0 1 0 0 0 0 0 0 0 | 1 1 0 1 1 1 1 0 0 0 0 | 1 1 1 1 0 oo..3oo..&#x | 1 1 0 0 | * 3 * * * * * * * * | 0 2 1 1 0 0 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 0 0 0 0 0 | 1 2 1 0 0 o.o.3o.o.&#x | 1 0 1 0 | * * 3 * * * * * * * | 0 0 1 0 2 1 0 0 0 0 0 0 0 0 | 0 2 1 0 1 2 0 0 0 0 0 | 1 2 0 1 0 o..o3o..o&#x | 1 0 0 1 | * * * 3 * * * * * * | 0 0 0 1 0 1 2 0 0 0 0 0 0 0 | 0 0 1 2 0 2 1 0 0 0 0 | 0 2 1 1 0 .... .x.. | 0 2 0 0 | * * * * 3 * * * * * | 0 1 0 0 0 0 0 1 1 0 1 0 0 0 | 1 1 0 1 0 0 0 1 1 1 0 | 1 1 1 0 1 .oo.3.oo.&#x | 0 1 1 0 | * * * * * 3 * * * * | 0 0 1 0 0 0 0 0 2 1 0 0 0 0 | 0 2 1 0 0 0 0 1 2 0 0 | 1 2 0 0 1 .o.o3.o.o&#x | 0 1 0 1 | * * * * * * 3 * * * | 0 0 0 1 0 0 0 0 0 1 2 0 0 0 | 0 0 1 2 0 0 0 0 2 1 0 | 0 2 1 0 1 .... ..x. | 0 0 2 0 | * * * * * * * 3 * * | 0 0 0 0 1 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 ..oo3..oo&#x | 0 0 1 1 | * * * * * * * * 3 * | 0 0 0 0 0 1 0 0 0 1 0 0 2 0 | 0 0 1 0 0 2 0 0 2 0 1 | 0 2 0 1 1 .... ...x | 0 0 0 2 | * * * * * * * * * 3 | 0 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 -------------+---------+---------------------+-----------------------------+-----------------------+---------- o...3x... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 1 0 0 0 1 0 1 0 0 0 0 | 1 0 1 1 0 .... xx..&#x | 2 2 0 0 | 1 2 0 0 1 0 0 0 0 0 | * 3 * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 ooo.3ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 | * * 3 * * * * * * * * * * * | 0 2 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 oo.o3oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 | * * * 3 * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 | 0 2 1 0 0 .... x.x.&#x | 2 0 2 0 | 1 0 2 0 0 0 0 1 0 0 | * * * * 3 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 o.oo3o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 1 0 | * * * * * 3 * * * * * * * * | 0 0 1 0 0 2 0 0 0 0 0 | 0 2 0 1 0 .... x..x&#x | 2 0 0 2 | 1 0 0 2 0 0 0 0 0 1 | * * * * * * 3 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 .o..3.x.. | 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 | * * * * * * * 1 * * * * * * | 1 0 0 0 0 0 0 1 0 1 0 | 1 0 1 0 1 .... .xx.&#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 | * * * * * * * * 3 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 .ooo3.ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * 3 * * * * | 0 0 1 0 0 0 0 0 2 0 0 | 0 2 0 0 1 .... .x.x&#x | 0 2 0 2 | 0 0 0 0 1 0 2 0 0 1 | * * * * * * * * * * 3 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 ..o.3..x. | 0 0 3 0 | 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * 1 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 .... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * 3 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ...o3...x | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 -------------+---------+---------------------+-----------------------------+-----------------------+---------- oo..3xx..&#x ♦ 3 3 0 0 | 3 3 0 0 3 0 0 0 0 0 | 1 3 0 0 0 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 0 1 0 0 .... xxx.&#x ♦ 2 2 2 0 | 1 2 2 0 1 2 0 1 0 0 | 0 1 2 0 1 0 0 0 1 0 0 0 0 0 | * 3 * * * * * * * * * | 1 1 0 0 0 oooo3oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 1 0 | 0 0 1 1 0 1 0 0 0 1 0 0 0 0 | * * 3 * * * * * * * * | 0 2 0 0 0 .... xx.x&#x ♦ 2 2 0 2 | 1 2 0 2 1 0 2 0 0 1 | 0 1 0 2 0 0 1 0 0 0 1 0 0 0 | * * * 3 * * * * * * * | 0 1 1 0 0 o.o.3x.x.&#x ♦ 3 0 3 0 | 3 0 3 0 0 0 0 3 0 0 | 1 0 0 0 3 0 0 0 0 0 0 1 0 0 | * * * * 1 * * * * * * | 1 0 0 1 0 .... x.xx&#x ♦ 2 0 2 2 | 1 0 2 2 0 0 0 1 2 1 | 0 0 0 0 1 2 1 0 0 0 0 0 1 0 | * * * * * 3 * * * * * | 0 1 0 1 0 o..o3x..x&#x ♦ 3 0 0 3 | 3 0 0 3 0 0 0 0 0 3 | 1 0 0 0 0 0 3 0 0 0 0 0 0 1 | * * * * * * 1 * * * * | 0 0 1 1 0 .oo.3.xx.&#x ♦ 0 3 3 0 | 0 0 0 0 3 3 0 3 0 0 | 0 0 0 0 0 0 0 1 3 0 0 1 0 0 | * * * * * * * 1 * * * | 1 0 0 0 1 .... .xxx&#x ♦ 0 2 2 2 | 0 0 0 0 1 2 2 1 2 1 | 0 0 0 0 0 0 0 0 1 2 1 0 1 0 | * * * * * * * * 3 * * | 0 1 0 0 1 .o.o3.x.x&#x ♦ 0 3 0 3 | 0 0 0 0 3 0 3 0 0 3 | 0 0 0 0 0 0 0 1 0 0 3 0 0 1 | * * * * * * * * * 1 * | 0 0 1 0 1 ..oo3..xx&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 0 3 3 3 | 0 0 0 0 0 0 0 0 0 0 0 1 3 1 | * * * * * * * * * * 1 | 0 0 0 1 1 -------------+---------+---------------------+-----------------------------+-----------------------+---------- ooo.3xxx.&#x ♦ 3 3 3 0 | 3 3 3 0 3 3 0 3 0 0 | 1 3 3 0 3 0 0 1 3 0 0 1 0 0 | 1 3 0 0 1 0 0 1 0 0 0 | 1 * * * * .... xxxx&#x ♦ 2 2 2 2 | 1 2 2 2 1 2 2 1 2 1 | 0 1 2 2 1 2 1 0 1 2 1 0 1 0 | 0 1 2 1 0 1 0 0 1 0 0 | * 3 * * * oo.o3xx.x&#x ♦ 3 3 0 3 | 3 3 0 3 3 0 3 0 0 3 | 1 3 0 3 0 0 3 1 0 0 3 0 0 1 | 1 0 0 3 0 0 1 0 0 1 0 | * * 1 * * o.oo3x.xx&#x ♦ 3 0 3 3 | 3 0 3 3 0 0 0 3 3 3 | 1 0 0 0 3 3 3 0 0 0 0 1 3 1 | 0 0 0 0 1 3 1 0 0 0 1 | * * * 1 * .ooo3.xxx&#x ♦ 0 3 3 3 | 0 0 0 0 3 3 3 3 3 3 | 0 0 0 0 0 0 0 1 3 3 3 1 3 1 | 0 0 0 0 0 0 0 1 3 1 1 | * * * * 1
xxoo ooxx xoox&#xr → height(1,2) = height(3,4) = sqrt(3)/2 = 0.866025
height(2,3) = height(1,4) = 1/sqrt(2) = 0.707107
o... o... o... | 4 * * * | 1 1 1 2 0 0 0 0 0 0 | 1 1 1 2 2 1 2 0 0 0 0 0 | 1 2 1 2 1 2 1 0 0 | 1 2 1 1
.o.. .o.. .o.. | * 2 * * | 0 0 2 0 1 2 0 0 0 0 | 0 2 1 4 0 0 0 2 1 0 0 0 | 1 4 2 2 0 0 0 1 0 | 2 2 1 0
..o. ..o. ..o. | * * 2 * | 0 0 0 0 0 2 1 2 0 0 | 0 0 0 4 0 0 0 1 2 2 1 0 | 0 2 4 2 0 0 0 1 1 | 2 1 2 0
...o ...o ...o | * * * 4 | 0 0 0 2 0 0 0 1 1 1 | 0 0 0 2 1 2 2 0 0 1 1 1 | 0 1 2 2 1 1 2 0 1 | 1 1 2 1
-------------------+---------+---------------------+-------------------------+-------------------+--------
x... .... .... | 2 0 0 0 | 2 * * * * * * * * * | 1 1 0 0 2 0 0 0 0 0 0 0 | 1 2 0 0 1 2 0 0 0 | 1 2 0 1
.... .... x... | 2 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0 0 2 0 0 0 0 0 | 1 0 0 2 0 2 1 0 0 | 0 2 1 1
oo.. oo.. oo..&#x | 1 1 0 0 | * * 4 * * * * * * * | 0 1 1 2 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 0 0 0 | 1 2 1 0
o..o o..o o..o&#x | 1 0 0 1 | * * * 8 * * * * * * | 0 0 0 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 | 1 1 1 1
.x.. .... .... | 0 2 0 0 | * * * * 1 * * * * * | 0 2 0 0 0 0 0 2 0 0 0 0 | 1 4 0 0 0 0 0 1 0 | 2 2 0 0
.oo. .oo. .oo.&#x | 0 1 1 0 | * * * * * 4 * * * * | 0 0 0 2 0 0 0 1 1 0 0 0 | 0 2 2 1 0 0 0 1 0 | 2 1 1 0
.... ..x. .... | 0 0 2 0 | * * * * * * 1 * * * | 0 0 0 0 0 0 0 0 2 2 0 0 | 0 0 4 0 0 0 0 1 1 | 2 0 2 0
..oo ..oo ..oo&#x | 0 0 1 1 | * * * * * * * 4 * * | 0 0 0 2 0 0 0 0 0 1 1 0 | 0 1 2 2 0 0 0 0 1 | 1 1 2 0
.... ...x .... | 0 0 0 2 | * * * * * * * * 2 * | 0 0 0 0 0 2 0 0 0 1 0 1 | 0 0 2 0 1 0 2 0 1 | 1 0 2 1
.... .... ...x | 0 0 0 2 | * * * * * * * * * 2 | 0 0 0 0 0 0 2 0 0 0 1 1 | 0 0 0 2 0 1 2 0 1 | 0 1 2 1
-------------------+---------+---------------------+-------------------------+-------------------+--------
x... .... x... | 4 0 0 0 | 2 2 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 | 0 2 0 1
xx.. .... ....&#x | 2 2 0 0 | 1 0 2 0 1 0 0 0 0 0 | * 2 * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 | 1 2 0 0
.... .... xo..&#x | 2 1 0 0 | 0 1 2 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * | 1 0 0 2 0 0 0 0 0 | 0 2 1 0
oooo oooo oooo&#xr | 1 1 1 1 | 0 0 1 1 0 1 0 1 0 0 | * * * 8 * * * * * * * * | 0 1 1 1 0 0 0 0 0 | 1 1 1 0
x..o .... ....&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 0 0 | * * * * 4 * * * * * * * | 0 1 0 0 1 1 0 0 0 | 1 1 0 1
.... o..x ....&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 1 0 | * * * * * 4 * * * * * * | 0 0 1 0 1 0 1 0 0 | 1 0 1 1
.... .... x..x&#x | 2 0 0 2 | 0 1 0 2 0 0 0 0 0 1 | * * * * * * 4 * * * * * | 0 0 0 1 0 1 1 0 0 | 0 1 1 1
.xo. .... ....&#x | 0 2 1 0 | 0 0 0 0 1 2 0 0 0 0 | * * * * * * * 2 * * * * | 0 2 0 0 0 0 0 1 0 | 2 1 0 0
.... .ox. ....&#x | 0 1 2 0 | 0 0 0 0 0 2 1 0 0 0 | * * * * * * * * 2 * * * | 0 0 2 0 0 0 0 1 0 | 2 0 1 0
.... ..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * 2 * * | 0 0 2 0 0 0 0 0 1 | 1 0 2 0
.... .... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * 2 * | 0 0 0 2 0 0 0 0 1 | 0 1 2 0
.... ...x ...x | 0 0 0 4 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 1 | 0 0 0 0 0 0 2 0 1 | 0 0 2 1
-------------------+---------+---------------------+-------------------------+-------------------+--------
xx.. .... xo..&#x ♦ 4 2 0 0 | 2 2 4 0 1 0 0 0 0 0 | 1 2 2 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * | 0 2 0 0
xxoo .... ....&#xr ♦ 2 2 1 1 | 1 0 2 2 1 2 0 1 0 0 | 0 1 0 2 1 0 0 1 0 0 0 0 | * 4 * * * * * * * | 1 1 0 0
.... ooxx ....&#xr ♦ 1 1 2 2 | 0 0 1 2 0 2 1 2 1 0 | 0 0 0 2 0 1 0 0 1 1 0 0 | * * 4 * * * * * * | 1 0 1 0
.... .... xoox&#xr ♦ 2 1 1 2 | 0 1 2 2 0 1 0 2 0 1 | 0 0 1 2 0 0 1 0 0 0 1 0 | * * * 4 * * * * * | 0 1 1 0
x..o o..x ....&#x ♦ 2 0 0 2 | 1 0 0 4 0 0 0 0 1 0 | 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * 2 * * * * | 1 0 0 1
x..o .... x..x&#x ♦ 4 0 0 2 | 2 2 0 4 0 0 0 0 0 1 | 1 0 0 0 2 0 2 0 0 0 0 0 | * * * * * 2 * * * | 0 1 0 1
.... o..x x..x&#x ♦ 2 0 0 4 | 0 1 0 4 0 0 0 0 2 2 | 0 0 0 0 0 2 2 0 0 0 0 1 | * * * * * * 2 * * | 0 0 1 1
.xo. .ox. ....&#x ♦ 0 2 2 0 | 0 0 0 0 1 4 1 0 0 0 | 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * 1 * | 2 0 0 0
.... ..xx ..ox&#x ♦ 0 0 2 4 | 0 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 0 2 2 1 | * * * * * * * * 1 | 0 0 2 0
-------------------+---------+---------------------+-------------------------+-------------------+--------
xxoo ooxx ....&#xr ♦ 2 2 2 2 | 1 0 2 4 1 4 1 2 1 0 | 0 1 0 4 2 2 0 2 2 1 0 0 | 0 2 2 0 1 0 0 1 0 | 2 * * *
xxoo .... xoox&#xr ♦ 4 2 1 2 | 2 2 4 4 1 2 0 2 0 1 | 1 2 2 4 2 0 2 1 0 0 1 0 | 1 2 0 2 0 1 0 0 0 | * 2 * *
.... ooxx xoox&#xr ♦ 2 1 2 4 | 0 1 2 4 0 2 1 4 2 2 | 0 0 1 4 0 2 2 0 1 2 2 1 | 0 0 2 2 0 0 1 0 1 | * * 2 *
x..o o..x x..x&#x ♦ 4 0 0 4 | 2 2 0 8 0 0 0 0 2 2 | 1 0 0 0 4 4 4 0 0 0 0 1 | 0 0 0 0 2 2 2 0 0 | * * * 1
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