Movatterモバイル変換


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Acronymtratet (alt.: tettet tettric)
Nametriangle - tetrahedron duoprism,
triangle duofastegium,
vertex figure ofbril,
(tet,tet,tet)-trigonic
Circumradiussqrt(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 orthotrip)
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 orthotrip)  |         +-- x3o3o o (tet)  +------------ x3o3o x (tepe)
Volumesqrt(6)/48 = 0.051031
Face vector12, 30, 34, 21, 7
Confer
more general:
n,tet-dip  
ambification:
retratet  
general polytopal classes:
Wythoffian polytera  segmentotera  lace simplices  
External
links
polytopewiki  

Incidence matrix according toDynkin 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 0x . 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 0x . 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

x3o2o3o4sdemi( . . . . . ) | 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 2sefa( . . 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 0sefa( 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 | * 4starting 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 0oo3oo 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 0xx .. .. ..&#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 0xx .. 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 0oo 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 0ox .. .. ..&#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 0ox 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-orthotrip)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 2oo 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 2ox .. .. ..&#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 2ox xo .. ..&#x 2 2 | 1 0  4 1 0 | 0 0 2 2  0 0 0 | * 3 * * * * | 2 0 0ox .. 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
oro. 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 3oo 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 3ox .. .. ..&#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 2ox xo .. ..&#x  4 | 2  0  4 | 0 0  4  0 | * 3  * * | 2 0ox .. 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 = 1o..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 0oo.3oo.3oo.&#x | 1 1 0 | * 4 * * * * | 0 3 0 1 0 0 0 | 0 3 0 3 0 0 0 | 1 0 3 0o.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 0ooo3ooo3ooo&#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 = 0.866025o.. 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 0oo. 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 0o.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 0o.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 0ooo 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 0o.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 0oox ... ...&#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 oftrip, 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 1oo.. 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 1o..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 1xx.. .... ....&#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 1x..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 1oooo 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 0xx.. 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 1x..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 1xxoo .... ....&#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 = 1o...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 0oo..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 0o.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 0o..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 0ooo.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 0oo.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 0o.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 0oooo3oooo&#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 0o.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 0o..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) = 0.707107o... 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 1oo.. 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 0o..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 1xx.. .... ....&#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 0oooo 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 0x..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 0xxoo .... ....&#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 0x..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 1x..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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