Acronym | trial tratet | ||
Name |
triangle atop dual tratet, triangle-first cap of ril | ||
Circumradius | sqrt(5/7) = 0.845154 | ||
Lace city in approx. ASCII-art |
o3o x3o x3o x3o o3o o3x | ||
o o o3x x o x3o o x x3o | |||
T t o l where: o = o o3o3o (point) l = x o3o3o (line) t = o x3o3o (tet) T = x x3o3o (tepe) | |||
Lace hyper city in approx. ASCII-art |
where: o = o3o3o (point) t = x3o3o (tet) | ||
Face vector | 15, 57, 95, 85, 43, 11 | ||
Confer |
|
Incidence matrix according to Dynkin symbol
ox3oo3oo ox3xo&#x → height = sqrt(7/24) = 0.540062
({3} || dual tratet)
o.3o.3o. o.3o. | 3 * ♦ 2 8 0 0 | 1 12 4 8 0 0 0 | 8 6 12 4 0 0 0 | 2 4 8 6 0 0 | 1 2 4 0
.o3.o3.o .o3.o | * 12 | 0 2 3 2 | 0 6 2 1 3 6 1 | 6 6 3 1 1 6 3 | 2 6 3 3 2 3 | 2 1 3 1
------------------+------+------------+--------------------+-------------------+---------------+--------
.. .. .. .. x. | 2 0 | 3 * * * | 1 0 0 4 0 0 0 | 0 0 6 4 0 0 0 | 0 0 4 6 0 0 | 0 1 4 0
oo3oo3oo oo3oo&#x | 1 1 | * 24 * * | 0 3 1 1 0 0 0 | 3 3 3 1 0 0 0 | 1 3 3 3 0 0 | 1 1 3 0
.x .. .. .. .. | 0 2 | * * 18 * | 0 2 0 0 2 2 0 | 4 2 1 0 1 2 1 | 2 4 2 1 2 2 | 2 1 2 1
.. .. .. .x .. | 0 2 | * * * 12 | 0 0 1 0 0 3 1 | 0 3 0 1 0 3 3 | 0 3 0 3 1 3 | 1 0 3 1
------------------+------+------------+--------------------+-------------------+---------------+--------
.. .. .. o.3x. | 3 0 | 3 0 0 0 | 1 * * * * * * ♦ 0 0 0 4 0 0 0 | 0 0 0 6 0 0 | 0 0 4 0
ox .. .. .. ..&#x | 1 2 | 0 2 1 0 | * 36 * * * * * | 2 1 1 0 0 0 0 | 1 2 2 1 0 0 | 1 1 2 0
.. .. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 12 * * * * ♦ 0 3 0 1 0 0 0 | 0 3 0 3 0 0 | 1 0 3 0
.. .. .. .. xo&#x | 2 1 | 1 2 0 0 | * * * 12 * * * | 0 0 3 1 0 0 0 | 0 0 3 3 0 0 | 0 1 3 0
.x3.o .. .. .. | 0 3 | 0 0 3 0 | * * * * 12 * * | 2 0 0 0 1 2 0 | 2 2 1 0 2 1 | 2 1 1 1
.x .. .. .x .. | 0 4 | 0 0 2 2 | * * * * * 18 * | 0 1 0 0 0 2 1 | 0 2 0 1 1 2 | 1 0 2 1
.. .. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * 4 | 0 0 0 1 0 0 3 | 0 0 0 3 0 3 | 0 0 3 1
------------------+------+------------+--------------------+-------------------+---------------+--------
ox3oo .. .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 3 0 0 1 0 0 | 24 * * * * * * | 1 1 1 0 0 0 | 1 1 1 0
ox .. .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 2 0 0 1 0 | * 18 * * * * * | 0 2 0 1 0 0 | 1 0 2 0
ox .. .. .. xo&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 0 0 | * * 18 * * * * | 0 0 2 1 0 0 | 0 1 2 0
.. .. .. ox3xo&#x ♦ 3 3 | 3 6 0 3 | 1 0 3 3 0 0 1 | * * * 4 * * * | 0 0 0 3 0 0 | 0 0 3 0
.x3.o3.o .. .. ♦ 0 4 | 0 0 6 0 | 0 0 0 0 4 0 0 | * * * * 3 * * | 2 0 0 0 2 0 | 2 1 0 1
.x3.o .. .x .. ♦ 0 6 | 0 0 6 3 | 0 0 0 0 2 3 0 | * * * * * 12 * | 0 1 0 0 1 1 | 1 0 1 1
.x .. .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * 6 | 0 0 0 1 0 2 | 0 0 2 1
------------------+------+------------+--------------------+-------------------+---------------+--------
ox3oo3oo .. ..&#x ♦ 1 4 | 0 4 6 0 | 0 6 0 0 4 0 0 | 4 0 0 0 1 0 0 | 6 * * * * * | 1 1 0 0
ox3oo .. ox ..&#x ♦ 1 6 | 0 6 6 3 | 0 6 3 0 2 3 0 | 2 3 0 0 0 1 0 | * 12 * * * * | 1 0 1 0
ox3oo .. .. xo&#x ♦ 2 3 | 1 6 3 0 | 0 6 0 3 1 0 0 | 2 0 3 0 0 0 0 | * * 12 * * * | 0 1 1 0
ox .. .. ox3xo&#x ♦ 3 6 | 3 12 3 6 | 1 6 6 6 0 3 2 | 0 3 3 2 0 0 1 | * * * 6 * * | 0 0 2 0
.x3.o3.o .x .. ♦ 0 8 | 0 0 12 4 | 0 0 0 0 8 6 0 | 0 0 0 0 2 4 0 | * * * * 3 * | 1 0 0 1
.x3.o .. .x3.o ♦ 0 9 | 0 0 9 9 | 0 0 0 0 3 9 3 | 0 0 0 0 0 3 3 | * * * * * 4 | 0 0 1 1
------------------+------+------------+--------------------+-------------------+---------------+--------
ox3oo3oo ox ..&#x ♦ 1 8 | 0 8 12 4 | 0 12 4 0 8 6 0 | 8 6 0 0 2 4 0 | 2 4 0 0 1 0 | 3 * * *
ox3oo3oo .. xo&#x ♦ 2 4 | 1 8 6 0 | 0 12 0 4 4 0 0 | 8 0 6 0 1 0 0 | 2 0 4 0 0 0 | * 3 * *
ox3oo .. ox3xo&#x ♦ 3 9 | 3 18 9 9 | 1 18 9 9 3 9 3 | 6 9 9 3 0 3 3 | 0 3 3 3 0 1 | * * 4 *
.x3.o3.o .x3.o ♦ 0 12 | 0 0 18 12 | 0 0 0 0 12 18 4 | 0 0 0 0 3 12 6 | 0 0 0 0 3 4 | * * * 1
xoo3ooo xox3oxo&#x → height(1,2) = 1/sqrt(3) = 0.577350 height(1,3) = height(2,3) = sqrt(2/3) = 0.816497 o..3o.. o..3o.. | 9 * * | 2 2 2 1 0 0 0 | 1 4 1 4 2 1 2 2 2 0 0 0 0 | 2 2 2 4 2 1 1 4 1 4 2 1 0 | 1 2 1 2 2 2 2 4 2 1 | 1 1 2 1 2 .o.3.o. .o.3.o. | * 3 * ♦ 0 0 6 0 2 2 0 | 0 0 0 6 3 6 0 0 6 1 1 2 0 | 0 0 2 3 6 3 0 0 0 6 3 6 1 | 0 1 2 3 0 0 2 3 6 3 | 1 0 1 2 3 ..o3..o ..o3..o | * * 3 | 0 0 0 3 0 2 2 | 0 0 0 0 0 0 3 6 6 0 2 1 1 | 0 0 0 0 0 0 1 6 3 0 3 0 0 | 0 0 0 0 2 3 2 6 3 3 | 0 1 2 1 3 -------------------+-------+----------------+-----------------------------+----------------------------+---------------------+---------- x.. ... ... ... | 2 0 0 | 9 * * * * * * | 1 2 0 2 0 0 1 0 0 0 0 0 0 | 2 1 2 2 1 0 1 2 0 2 0 0 0 | 1 2 1 1 2 1 2 2 1 0 | 1 1 2 1 1 ... ... x.. ... | 2 0 0 | * 9 * * * * * | 0 2 1 0 1 0 0 1 0 0 0 0 0 | 1 2 0 2 0 1 0 2 1 0 1 0 0 | 1 1 0 2 1 2 0 2 0 1 | 1 1 1 0 2 oo.3oo. oo.3oo.&#x | 1 1 0 | * * 18 * * * * | 0 0 0 2 1 1 0 0 1 0 0 0 0 | 0 0 1 2 2 1 0 0 0 2 1 1 0 | 0 1 1 2 0 0 1 2 2 1 | 1 0 1 1 2 o.o3o.o o.o3o.o&#x | 1 0 1 | * * * 9 * * * | 0 0 0 0 0 0 2 2 2 0 0 0 0 | 0 0 0 0 0 0 1 4 1 4 2 1 0 | 0 0 0 0 2 2 2 4 2 1 | 0 1 2 1 2 ... ... ... .x. | 0 2 0 | * * * * 3 * * | 0 0 0 0 0 3 0 0 0 1 0 1 0 | 0 0 0 0 3 3 0 0 0 0 0 3 1 | 0 0 1 3 0 0 0 0 3 3 | 1 0 0 1 3 .oo3.oo .oo3.oo&#x | 0 1 1 | * * * * * 6 * | 0 0 0 0 0 0 0 0 3 0 1 1 0 | 0 0 0 0 0 0 0 0 0 3 3 3 1 | 0 0 0 0 0 0 1 3 3 3 | 0 0 1 1 3 ... ... ..x ... | 0 0 2 | * * * * * * 3 | 0 0 0 0 0 0 0 3 0 0 1 0 1 | 0 0 0 0 0 0 0 3 3 0 3 0 1 | 0 0 0 0 1 3 0 3 0 3 | 0 1 1 0 3 -------------------+-------+----------------+-----------------------------+----------------------------+---------------------+---------- x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 | 3 * * * * * * * * * * * * | 2 0 2 0 0 0 1 0 0 0 0 0 0 | 1 2 1 0 2 0 2 0 0 0 | 1 1 2 1 0 x.. ... x.. ... | 4 0 0 | 2 2 0 0 0 0 0 | * 9 * * * * * * * * * * * | 1 1 0 1 0 0 0 1 0 0 0 0 0 | 1 1 0 1 1 1 0 1 0 0 | 1 1 1 0 1 ... ... x..3o.. | 3 0 0 | 0 3 0 0 0 0 0 | * * 3 * * * * * * * * * * | 0 2 0 0 0 1 0 0 1 0 0 0 0 | 1 0 0 2 0 2 0 0 0 1 | 1 1 0 0 2 xo. ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 0 | * * * 18 * * * * * * * * * | 0 0 1 1 1 0 0 0 0 1 0 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 0 1 1 1 ... ... xo. ...&#x | 2 1 0 | 0 1 2 0 0 0 0 | * * * * 9 * * * * * * * * ♦ 0 0 0 2 0 1 0 0 0 0 1 0 0 | 0 1 0 2 0 0 0 2 0 1 | 1 0 1 0 2 ... ... ... ox.&#x | 1 2 0 | 0 0 2 0 1 0 0 | * * * * * 9 * * * * * * * | 0 0 0 0 2 1 0 0 0 0 0 1 0 | 0 0 1 2 0 0 0 0 2 1 | 1 0 0 1 2 x.o ... ... ...&#x | 2 0 1 | 1 0 0 2 0 0 0 | * * * * * * 9 * * * * * * | 0 0 0 0 0 0 1 2 0 2 0 0 0 | 0 0 0 0 2 1 2 2 1 0 | 0 1 2 1 1 ... ... x.x ...&#x | 2 0 2 | 0 1 0 2 0 0 1 | * * * * * * * 9 * * * * * | 0 0 0 0 0 0 0 2 1 0 1 0 0 | 0 0 0 0 1 2 0 2 0 1 | 0 1 1 0 2 ooo3ooo ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 1 0 | * * * * * * * * 18 * * * * | 0 0 0 0 0 0 0 0 0 2 1 1 0 | 0 0 0 0 0 0 1 2 2 1 | 0 0 1 1 2 ... ... .o.3.x. | 0 3 0 | 0 0 0 0 3 0 0 | * * * * * * * * * 1 * * * ♦ 0 0 0 0 0 3 0 0 0 0 0 0 1 | 0 0 0 3 0 0 0 0 0 3 | 1 0 0 0 3 ... ... .ox ...&#x | 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * * * * 3 * * ♦ 0 0 0 0 0 0 0 0 0 0 3 0 1 | 0 0 0 0 0 0 0 3 0 3 | 0 0 1 0 3 ... ... ... .xo&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 0 0 0 3 1 | 0 0 0 0 0 0 0 0 3 3 | 0 0 0 1 3 ... ... ..x3..o | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 3 0 0 0 1 | 0 0 0 0 0 3 0 0 0 3 | 0 1 0 0 3 -------------------+-------+----------------+-----------------------------+----------------------------+---------------------+---------- x..3o.. x.. ... ♦ 6 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0 x.. ... x..3o.. ♦ 6 0 0 | 3 6 0 0 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * | 1 0 0 1 0 1 0 0 0 0 | 1 1 0 0 1 xo.3oo. ... ...&#x ♦ 3 1 0 | 3 0 3 0 0 0 0 | 1 0 0 3 0 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0 xo. ... xo. ...&#x ♦ 4 1 0 | 2 2 4 0 0 0 0 | 0 1 0 2 2 0 0 0 0 0 0 0 0 | * * * 9 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 | 1 0 1 0 1 xo. ... ... ox.&#x ♦ 2 2 0 | 1 0 4 0 1 0 0 | 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * 9 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 | 1 0 0 1 1 ... ... xo.3ox.&#x ♦ 3 3 0 | 0 3 6 0 3 0 0 | 0 0 1 0 3 3 0 0 0 1 0 0 0 | * * * * * 3 * * * * * * * | 0 0 0 2 0 0 0 0 0 1 | 1 0 0 0 2 x.o3o.o ... ...&#x ♦ 3 0 1 | 3 0 0 3 0 0 0 | 1 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * 3 * * * * * * | 0 0 0 0 2 0 2 0 0 0 | 0 1 2 1 0 x.o ... x.x ...&#x ♦ 4 0 2 | 2 2 0 4 0 0 1 | 0 1 0 0 0 0 2 2 0 0 0 0 0 | * * * * * * * 9 * * * * * | 0 0 0 0 1 1 0 1 0 0 | 0 1 1 0 1 ... ... x.x3o.o&#x ♦ 3 0 3 | 0 3 0 3 0 0 3 | 0 0 1 0 0 0 0 3 0 0 0 0 1 | * * * * * * * * 3 * * * * | 0 0 0 0 0 2 0 0 0 1 | 0 1 0 0 2 xoo ... ... ...&#x ♦ 2 1 1 | 1 0 2 2 0 1 0 | 0 0 0 1 0 0 1 0 2 0 0 0 0 | * * * * * * * * * 18 * * * | 0 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1 ... ... xox ...&#x ♦ 2 1 2 | 0 1 2 2 0 2 1 | 0 0 0 0 1 0 0 1 2 0 1 0 0 | * * * * * * * * * * 9 * * | 0 0 0 0 0 0 0 2 0 1 | 0 0 1 0 2 ... ... ... oxo&#x ♦ 1 2 1 | 0 0 2 1 1 2 0 | 0 0 0 0 0 1 0 0 2 0 0 1 0 | * * * * * * * * * * * 9 * | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 1 2 ... ... .ox3.xo&#x ♦ 0 3 3 | 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 3 -------------------+-------+----------------+-----------------------------+----------------------------+---------------------+---------- x..3o.. x..3o.. ♦ 9 0 0 | 9 9 0 0 0 0 0 | 3 9 3 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0 xo.3oo. xo. ...&#x ♦ 6 1 0 | 6 3 6 0 0 0 0 | 2 3 0 6 3 0 0 0 0 0 0 0 0 | 1 0 2 3 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0 xo.3oo. ... ox.&#x ♦ 3 2 0 | 3 0 6 0 1 0 0 | 1 0 0 6 0 3 0 0 0 0 0 0 0 | 0 0 2 0 3 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0 xo. ... xo.3ox.&#x ♦ 6 3 0 | 3 6 12 0 3 0 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 | * * * 3 * * * * * * | 1 0 0 0 1 x.o3o.o x.x ...&#x ♦ 6 0 2 | 6 3 0 6 0 0 1 | 2 3 0 0 0 0 6 3 0 0 0 0 0 | 1 0 0 0 0 0 2 3 0 0 0 0 0 | * * * * 3 * * * * * | 0 1 1 0 0 x.o ... x.x3o.o&#x ♦ 6 0 3 | 3 6 0 6 0 0 3 | 0 3 2 0 0 0 3 6 0 0 0 0 1 | 0 1 0 0 0 0 0 3 2 0 0 0 0 | * * * * * 3 * * * * | 0 1 0 0 1 xoo3ooo ... ...&#x ♦ 3 1 1 | 3 0 3 3 0 1 0 | 1 0 0 3 0 0 3 0 3 0 0 0 0 | 0 0 1 0 0 0 1 0 0 3 0 0 0 | * * * * * * 6 * * * | 0 0 1 1 0 xoo ... xox ...&#x ♦ 4 1 2 | 2 2 4 4 0 2 1 | 0 1 0 2 2 0 2 2 4 0 1 0 0 | 0 0 0 1 0 0 0 1 0 2 2 0 0 | * * * * * * * 9 * * | 0 0 1 0 1 xoo ... ... oxo&#x ♦ 2 2 1 | 1 0 4 2 1 2 0 | 0 0 0 2 0 2 1 0 4 0 0 1 0 | 0 0 0 0 1 0 0 0 0 2 0 2 0 | * * * * * * * * 9 * | 0 0 0 1 1 ... ... xox3oxo&#x ♦ 3 3 3 | 0 3 6 3 3 6 3 | 0 0 1 0 3 3 0 3 6 1 3 3 1 | 0 0 0 0 0 1 0 0 1 0 3 3 1 | * * * * * * * * * 3 | 0 0 0 0 2 -------------------+-------+----------------+-----------------------------+----------------------------+---------------------+---------- xo.3oo. xo.3ox.&#x ♦ 9 3 0 | 9 9 18 0 3 0 0 | 3 9 3 18 9 9 0 0 0 1 0 0 0 | 3 3 6 9 9 3 0 0 0 0 0 0 0 | 1 3 3 3 0 0 0 0 0 0 | 1 * * * * x.o3o.o x.x3o.o&#x ♦ 9 0 3 | 9 9 0 9 0 0 3 | 3 9 3 0 0 0 9 9 0 0 0 0 1 | 3 3 0 0 0 0 3 9 3 0 0 0 0 | 1 0 0 0 3 3 0 0 0 0 | * 1 * * * xoo3ooo xox ...&#x ♦ 6 1 2 | 6 3 6 6 0 2 1 | 2 3 0 6 3 0 6 3 6 0 1 0 0 | 1 0 2 3 0 0 2 3 0 6 3 0 0 | 0 1 0 0 1 0 2 3 0 0 | * * 3 * * xoo3ooo ... oxo&#x ♦ 3 2 1 | 3 0 6 3 1 2 0 | 1 0 0 6 0 3 3 0 6 0 0 1 0 | 0 0 2 0 3 0 1 0 0 6 0 3 0 | 0 0 1 0 0 0 2 0 3 0 | * * * 3 * xoo ... xox3oxo&#x ♦ 6 3 3 | 3 6 12 6 3 6 3 | 0 3 2 6 6 6 3 6 12 1 3 3 1 | 0 1 0 3 3 2 0 3 2 6 6 6 1 | 0 0 0 1 0 1 0 3 3 2 | * * * * 3
xoo oox xox3oxo&#x → height(1,2) = height(2,3) = sqrt(5/12) = 0.645497 height(1,3) = 1/sqrt(2) = 0.707107 o.. o.. o..3o.. & | 12 * | 1 2 2 2 0 | 2 1 2 2 1 3 4 4 0 | 1 2 1 1 1 6 2 6 4 2 | 1 2 3 2 6 3 2 | 1 2 1 3 .o. .o. .o.3.o. | * 3 ♦ 0 0 8 0 2 | 0 0 4 4 8 0 0 8 1 | 0 2 4 4 0 0 0 8 4 8 | 2 0 0 2 4 8 4 | 0 1 2 4 ---------------------+------+--------------+-------------------------+-------------------------+-----------------+-------- x.. ... ... ... & | 2 0 | 6 * * * * | 2 0 2 0 0 2 0 0 0 | 1 2 1 0 1 4 0 4 0 0 | 1 2 2 2 4 2 0 | 1 2 1 2 ... ... x.. ... & | 2 0 | * 12 * * * | 1 1 0 1 0 0 2 0 0 | 1 1 0 1 0 3 2 0 2 0 | 1 1 3 0 3 0 2 | 1 1 0 3 oo. oo. oo.3oo.&#x & | 1 1 | * * 24 * * | 0 0 1 1 1 0 0 2 0 | 0 1 1 1 0 0 0 3 2 2 | 1 0 0 1 3 3 2 | 0 1 1 3 o.o o.o o.o3o.o&#x | 2 0 | * * * 12 * | 0 0 0 0 0 2 2 2 0 | 0 0 0 0 1 4 1 4 2 1 | 0 2 2 2 4 2 1 | 1 2 1 2 ... ... ... .x. | 0 2 | * * * * 3 | 0 0 0 0 4 0 0 0 1 | 0 0 2 4 0 0 0 0 0 4 | 2 0 0 0 0 4 4 | 0 0 1 4 ---------------------+------+--------------+-------------------------+-------------------------+-----------------+-------- x.. ... x.. ... & | 4 0 | 2 2 0 0 0 | 6 * * * * * * * * | 1 1 0 0 0 2 0 0 0 0 | 1 1 2 0 0 0 0 | 1 1 0 2 ... ... x..3o.. & | 3 0 | 0 3 0 0 0 | * 4 * * * * * * * | 1 0 0 1 0 0 2 0 0 0 | 1 0 3 0 0 0 2 | 1 0 0 3 xo. ... ... ...&#x & | 2 1 | 1 0 2 0 0 | * * 12 * * * * * * | 0 1 1 0 0 0 0 2 0 0 | 1 0 0 1 2 2 0 | 0 1 1 2 ... ... xo. ...&#x & | 2 1 | 0 1 2 0 0 | * * * 12 * * * * * ♦ 0 1 0 1 0 0 0 0 2 0 | 1 0 0 0 3 0 2 | 0 1 0 3 ... ... ... ox.&#x & | 1 2 | 0 0 2 0 1 | * * * * 12 * * * * | 0 0 1 1 0 0 0 0 0 2 | 1 0 0 0 0 3 2 | 0 0 1 3 x.o ... ... ...&#x & | 3 0 | 1 0 0 2 0 | * * * * * 12 * * * | 0 0 0 0 1 2 0 2 0 0 | 0 2 1 2 2 1 0 | 1 2 1 1 ... ... x.x ...&#x | 4 0 | 0 2 0 2 0 | * * * * * * 12 * * | 0 0 0 0 0 2 1 0 1 0 | 0 1 2 0 2 0 1 | 1 1 0 2 ooo ooo ooo3ooo&#x | 2 1 | 0 0 2 1 0 | * * * * * * * 24 * | 0 0 0 0 0 0 0 2 1 1 | 0 0 0 1 2 2 1 | 0 1 1 2 ... ... .o.3.x. | 0 3 | 0 0 0 0 3 | * * * * * * * * 1 ♦ 0 0 0 4 0 0 0 0 0 0 | 2 0 0 0 0 0 4 | 0 0 0 4 ---------------------+------+--------------+-------------------------+-------------------------+-----------------+-------- x.. ... x..3o.. & ♦ 6 0 | 3 6 0 0 0 | 3 2 0 0 0 0 0 0 0 | 2 * * * * * * * * * | 1 0 2 0 0 0 0 | 1 0 0 2 xo. ... xo. ...&#x & ♦ 4 1 | 2 2 4 0 0 | 1 0 2 2 0 0 0 0 0 | * 6 * * * * * * * * | 1 0 0 0 2 0 0 | 0 1 0 2 xo. ... ... ox.&#x & ♦ 2 2 | 1 0 4 0 1 | 0 0 2 0 2 0 0 0 0 | * * 6 * * * * * * * | 1 0 0 0 0 2 0 | 0 0 1 2 ... ... xo3 ox.&#x & ♦ 3 3 | 0 3 6 0 3 | 0 1 0 3 3 0 0 0 1 | * * * 4 * * * * * * | 1 0 0 0 0 0 2 | 0 0 0 3 x.o o.x ... ...&#x ♦ 4 0 | 2 0 0 4 0 | 0 0 0 0 0 4 0 0 0 | * * * * 3 * * * * * | 0 2 0 2 0 0 0 | 1 2 1 0 x.o ... x.x ...&#x & ♦ 6 0 | 2 3 0 4 0 | 1 0 0 0 0 2 2 0 0 | * * * * * 12 * * * * | 0 1 1 0 1 0 0 | 1 1 0 1 ... ... x.x3o.o&#x ♦ 6 0 | 0 6 0 3 0 | 0 2 0 0 0 0 3 0 0 | * * * * * * 4 * * * | 0 0 2 0 0 0 1 | 1 0 0 2 xoo ... ... ...&#x & ♦ 3 1 | 1 0 3 2 0 | 0 0 1 0 0 1 0 2 0 | * * * * * * * 24 * * | 0 0 0 1 1 1 0 | 0 1 1 1 ... ... xox ...&#x ♦ 4 1 | 0 2 4 2 0 | 0 0 0 2 0 0 1 2 0 | * * * * * * * * 12 * | 0 0 0 0 2 0 1 | 0 1 0 2 ... ... ... oxo&#x ♦ 2 2 | 0 0 4 1 1 | 0 0 0 0 2 0 0 2 0 | * * * * * * * * * 12 | 0 0 0 0 0 2 1 | 0 0 1 2 ---------------------+------+--------------+-------------------------+-------------------------+-----------------+-------- xo. ... xo.3ox.&#x & ♦ 6 3 | 3 6 12 0 3 | 3 2 6 6 6 0 0 0 1 | 1 3 3 2 0 0 0 0 0 0 | 2 * * * * * * | 0 0 0 2 x.o o.x x.x ...&#x ♦ 8 0 | 4 4 0 8 0 | 2 0 0 0 0 8 4 0 0 | 0 0 0 0 2 4 0 0 0 0 | * 3 * * * * * | 1 1 0 0 x.o ... x.x3o.o&#x & ♦ 9 0 | 3 9 0 6 0 | 3 3 0 0 0 3 6 0 0 | 1 0 0 0 0 3 2 0 0 0 | * * 4 * * * * | 1 0 0 1 xoo oox ... ...&#x ♦ 4 1 | 2 0 4 4 0 | 0 0 2 0 0 4 0 4 0 | 0 0 0 0 1 0 0 4 0 0 | * * * 6 * * * | 0 1 1 0 xoo ... xox ...&#x & ♦ 6 1 | 2 3 6 4 0 | 1 0 2 3 0 2 2 4 0 | 0 1 0 0 0 1 0 2 2 0 | * * * * 12 * * | 0 1 0 1 xoo ... ... oxo&#x & ♦ 3 2 | 1 0 6 2 1 | 0 0 2 0 3 1 0 4 0 | 0 0 1 0 0 0 0 2 0 2 | * * * * * 12 * | 0 0 1 1 ... ... xox3oxo&#x ♦ 6 3 | 0 6 12 3 3 | 0 2 0 6 6 0 3 6 1 | 0 0 0 2 0 0 1 0 3 3 | * * * * * * 4 | 0 0 0 2 ---------------------+------+--------------+-------------------------+-------------------------+-----------------+-------- x.o o.x x.x3o.o&#x ♦ 12 0 | 6 12 0 12 0 | 6 4 0 0 0 12 12 0 0 | 2 0 0 0 3 12 4 0 0 0 | 0 3 4 0 0 0 0 | 1 * * * xoo oox xox ...&#x ♦ 8 1 | 4 4 8 8 0 | 2 0 4 4 0 8 4 8 0 | 0 2 0 0 2 4 0 8 4 0 | 0 1 0 2 4 0 0 | * 3 * * xoo oox ... oxo&#x ♦ 4 2 | 2 0 8 4 1 | 0 0 4 0 4 4 0 8 0 | 0 0 2 0 1 0 0 8 0 4 | 0 0 0 2 0 4 0 | * * 3 * xoo ... xox3oxo&#x & ♦ 9 3 | 3 9 18 6 3 | 3 3 6 9 9 3 6 12 1 | 1 3 3 3 0 3 2 6 6 6 | 1 0 1 0 3 3 2 | * * * 4
oxox ooxx3oooo3oooo&#xr → height(1,2) = height(3,4) = sqrt(3)/2 = 0.866025 height(1,4) = height(2,3) = sqrt(3/8) = 0.612372 o... o...3o...3o... | 1 * * * ♦ 2 8 0 0 0 0 0 0 0 | 1 8 4 12 0 0 0 0 0 0 0 0 0 | 4 12 6 8 0 0 0 0 0 0 0 0 0 | 6 8 4 2 0 0 0 0 0 0 0 | 4 2 1 0 0 0 .o.. .o..3.o..3.o.. | * 2 * * ♦ 1 0 1 4 4 0 0 0 0 | 1 4 0 0 4 6 4 6 0 0 0 0 0 | 4 6 0 0 6 4 6 4 0 0 0 0 0 | 6 4 0 0 4 1 4 1 0 0 0 | 4 1 0 1 1 0 ..o. ..o.3..o.3..o. | * * 4 * | 0 0 0 2 0 3 2 0 0 | 0 0 0 0 1 6 2 0 3 1 6 0 0 | 1 0 0 0 3 6 6 0 1 3 6 0 0 | 3 0 0 0 3 2 6 0 3 2 0 | 3 0 0 1 2 1 ...o ...o3...o3...o | * * * 8 | 0 1 0 0 1 0 1 1 3 | 0 1 1 3 0 0 1 3 0 1 3 3 3 | 1 3 3 3 0 0 3 3 0 3 3 3 1 | 3 3 3 1 0 0 3 1 3 1 1 | 3 1 1 0 1 1 ------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------ oo.. oo..3oo..3oo..&#x | 1 1 0 0 | 2 * * * * * * * * | 1 4 0 0 0 0 0 0 0 0 0 0 0 | 4 6 0 0 0 0 0 0 0 0 0 0 0 | 6 4 0 0 0 0 0 0 0 0 0 | 4 1 0 0 0 0 o..o o..o3o..o3o..o&#x | 1 0 0 1 | * 8 * * * * * * * | 0 1 1 3 0 0 0 0 0 0 0 0 0 | 1 3 3 3 0 0 0 0 0 0 0 0 0 | 3 3 3 1 0 0 0 0 0 0 0 | 3 1 1 0 0 0 .x.. .... .... .... | 0 2 0 0 | * * 1 * * * * * * | 1 0 0 0 4 0 0 0 0 0 0 0 0 | 4 0 0 0 6 0 0 0 0 0 0 0 0 | 6 0 0 0 4 0 0 0 0 0 0 | 4 0 0 1 0 0 .oo. .oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * 8 * * * * * | 0 0 0 0 1 3 1 0 0 0 0 0 0 | 1 0 0 0 3 3 3 0 0 0 0 0 0 | 3 0 0 0 3 1 3 0 0 0 0 | 3 0 0 1 1 0 .o.o .o.o3.o.o3.o.o&#x | 0 1 0 1 | * * * * 8 * * * * | 0 1 0 0 0 0 1 3 0 0 0 0 0 | 1 3 0 0 0 0 3 3 0 0 0 0 0 | 3 3 0 0 0 0 3 1 0 0 0 | 3 1 0 0 1 0 .... ..x. .... .... | 0 0 2 0 | * * * * * 6 * * * | 0 0 0 0 0 2 0 0 2 0 2 0 0 | 0 0 0 0 1 4 2 0 1 1 4 0 0 | 1 0 0 0 2 2 4 0 2 2 0 | 2 0 0 1 2 1 ..oo ..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * 8 * * | 0 0 0 0 0 0 1 0 0 1 3 0 0 | 1 0 0 0 0 0 3 0 0 3 3 0 0 | 3 0 0 0 0 0 3 0 3 1 0 | 3 0 0 0 1 1 ...x .... .... .... | 0 0 0 2 | * * * * * * * 4 * | 0 0 1 0 0 0 0 0 0 1 0 3 0 | 1 0 3 0 0 0 0 0 0 3 0 3 0 | 3 0 3 0 0 0 0 0 3 0 1 | 3 0 1 0 0 1 .... ...x .... .... | 0 0 0 2 | * * * * * * * * 12 | 0 0 0 1 0 0 0 1 0 0 1 1 2 | 0 1 1 2 0 0 1 2 0 1 2 2 1 | 1 2 2 1 0 0 2 1 2 1 1 | 2 1 1 0 1 1 ------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------ ox.. .... .... ....&#x | 1 2 0 0 | 2 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * * * ♦ 4 0 0 0 0 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0 oo.o oo.o3oo.o3oo.o&#x | 1 1 0 1 | 1 1 0 0 1 0 0 0 0 | * 8 * * * * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 | 3 1 0 0 0 0 o..x .... .... ....&#x | 1 0 0 2 | 0 2 0 0 0 0 0 1 0 | * * 4 * * * * * * * * * * ♦ 1 0 3 0 0 0 0 0 0 0 0 0 0 | 3 0 3 0 0 0 0 0 0 0 0 | 3 0 1 0 0 0 .... o..x .... ....&#x | 1 0 0 2 | 0 2 0 0 0 0 0 0 1 | * * * 12 * * * * * * * * * | 0 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0 0 .xo. .... .... ....&#x | 0 2 1 0 | 0 0 1 2 0 0 0 0 0 | * * * * 4 * * * * * * * * | 1 0 3 0 0 0 0 0 0 0 0 0 0 | 3 0 0 0 3 0 0 0 0 0 0 | 3 0 0 1 0 0 .... .ox. .... ....&#x | 0 1 2 0 | 0 0 0 2 0 1 0 0 0 | * * * * * 12 * * * * * * * | 0 0 0 0 1 2 1 0 0 0 0 0 0 | 1 0 0 0 2 1 2 0 0 0 0 | 2 0 0 1 1 0 .ooo .ooo3.ooo3.ooo&#x | 0 1 1 1 | 0 0 0 1 1 0 1 0 0 | * * * * * * 8 * * * * * * ♦ 1 0 0 0 0 0 3 0 0 0 0 0 0 | 3 0 0 0 0 0 3 0 0 0 0 | 3 0 0 0 1 0 .... .o.x .... ....&#x | 0 1 0 2 | 0 0 0 0 2 0 0 0 1 | * * * * * * * 12 * * * * * | 0 1 0 0 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 0 2 1 0 0 0 | 2 1 0 0 1 0 .... ..x.3..o. .... | 0 0 3 0 | 0 0 0 0 0 3 0 0 0 | * * * * * * * * 4 * * * * | 0 0 0 0 0 2 0 0 1 0 2 0 0 | 0 0 0 0 1 2 2 0 1 2 0 | 1 0 0 1 2 1 ..ox .... .... ....&#x | 0 0 1 2 | 0 0 0 0 0 0 2 1 0 | * * * * * * * * * 4 * * * | 1 0 0 0 0 0 0 0 0 3 0 0 0 | 3 0 0 0 0 0 0 0 3 0 0 | 3 0 0 0 0 1 .... ..xx .... ....&#x | 0 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * 12 * * | 0 0 0 0 0 0 1 0 0 1 2 0 0 | 1 0 0 0 0 0 2 0 2 1 0 | 2 0 0 0 1 1 ...x ...x .... .... | 0 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 6 * | 0 0 1 0 0 0 0 0 0 1 0 2 0 | 1 0 2 0 0 0 0 0 2 0 1 | 2 0 1 0 0 1 .... ...x3...o .... | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 8 | 0 0 0 1 0 0 0 1 0 0 1 1 1 | 0 1 1 1 0 0 1 1 1 1 1 | 1 1 1 0 1 1 ------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------ oxox .... .... ....&#xr ♦ 1 2 1 2 | 2 2 1 2 2 0 2 1 0 | 1 2 1 0 1 0 2 0 0 1 0 0 0 | 4 * * * * * * * * * * * * | 3 0 0 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 .... oo.x .... ....&#x ♦ 1 1 0 2 | 1 2 0 0 2 0 0 0 1 | 0 2 0 1 0 0 0 1 0 0 0 0 0 | * 12 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 o..x o..x .... ....&#x ♦ 1 0 0 4 | 0 4 0 0 0 0 0 2 2 | 0 0 2 2 0 0 0 0 0 0 0 1 0 | * * 6 * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 0 .... o..x3o..o ....&#x ♦ 1 0 0 3 | 0 3 0 0 0 0 0 0 3 | 0 0 0 3 0 0 0 0 0 0 0 0 1 | * * * 8 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 .xo. .ox. .... ....&#x ♦ 0 2 2 0 | 0 0 1 4 0 1 0 0 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 0 .... .ox.3.oo. ....&#x ♦ 0 1 3 0 | 0 0 0 3 0 3 0 0 0 | 0 0 0 0 0 3 0 0 1 0 0 0 0 | * * * * * 8 * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 | 1 0 0 1 1 0 .... .oxx .... ....&#x ♦ 0 1 2 2 | 0 0 0 2 2 1 2 0 1 | 0 0 0 0 0 1 2 1 0 0 1 0 0 | * * * * * * 12 * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 2 0 0 0 1 0 .... .o.x3.o.o ....&#x ♦ 0 1 0 3 | 0 0 0 0 3 0 0 0 3 | 0 0 0 0 0 0 0 3 0 0 0 0 1 | * * * * * * * 8 * * * * * | 0 1 0 0 0 0 1 1 0 0 0 | 1 1 0 0 1 0 .... ..x.3..o.3..o. ♦ 0 0 4 0 | 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * 1 * * * * | 0 0 0 0 0 2 0 0 0 2 0 | 0 0 0 1 2 1 ..ox ..xx .... ....&#x ♦ 0 0 2 4 | 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 0 2 2 1 0 | * * * * * * * * * 6 * * * | 1 0 0 0 0 0 0 0 2 0 0 | 2 0 0 0 0 1 .... ..xx3..oo ....&#x ♦ 0 0 3 3 | 0 0 0 0 0 3 3 0 3 | 0 0 0 0 0 0 0 0 1 0 3 0 1 | * * * * * * * * * * 8 * * | 0 0 0 0 0 0 1 0 1 1 0 | 1 0 0 0 1 1 ...x ...x3...o .... ♦ 0 0 0 6 | 0 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * * * 4 * | 0 0 1 0 0 0 0 0 1 0 1 | 1 0 1 0 0 1 .... ...x3...o3...o ♦ 0 0 0 4 | 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 2 | 0 0 0 1 0 0 0 1 0 1 1 | 0 1 1 0 1 1 ------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------ oxox ooxx .... ....&#xr ♦ 1 2 2 4 | 2 4 1 4 4 1 4 2 2 | 1 4 2 2 2 2 4 2 0 2 2 1 0 | 2 2 1 0 1 0 2 0 0 1 0 0 0 | 6 * * * * * * * * * * | 2 0 0 0 0 0 .... oo.x3oo.o ....&#x ♦ 1 1 0 3 | 1 3 0 0 3 0 0 0 3 | 0 3 0 3 0 0 0 3 0 0 0 0 1 | 0 3 0 1 0 0 0 1 0 0 0 0 0 | * 8 * * * * * * * * * | 1 1 0 0 0 0 o..x o..x3o..o ....&#x ♦ 1 0 0 6 | 0 6 0 0 0 0 0 3 6 | 0 0 3 6 0 0 0 0 0 0 0 3 2 | 0 0 3 2 0 0 0 0 0 0 0 1 0 | * * 4 * * * * * * * * | 1 0 1 0 0 0 .... o..x3o..o3o..o&#x ♦ 1 0 0 4 | 0 4 0 0 0 0 0 0 6 | 0 0 0 6 0 0 0 0 0 0 0 0 4 | 0 0 0 4 0 0 0 0 0 0 0 0 1 | * * * 2 * * * * * * * | 0 1 1 0 0 0 .xo. .ox.3.oo. ....&#x ♦ 0 2 3 0 | 0 0 1 6 0 3 0 0 0 | 0 0 0 0 3 6 0 0 1 0 0 0 0 | 0 0 0 0 3 2 0 0 0 0 0 0 0 | * * * * 4 * * * * * * | 1 0 0 1 0 0 .... .ox.3.oo.3.oo.&#x ♦ 0 1 4 0 | 0 0 0 4 0 6 0 0 0 | 0 0 0 0 0 6 0 0 4 0 0 0 0 | 0 0 0 0 0 4 0 0 1 0 0 0 0 | * * * * * 2 * * * * * | 0 0 0 1 1 0 .... .oxx3.ooo ....&#x ♦ 0 1 3 3 | 0 0 0 3 3 3 3 0 3 | 0 0 0 0 0 3 3 3 1 0 3 0 1 | 0 0 0 0 0 1 3 1 0 0 1 0 0 | * * * * * * 8 * * * * | 1 0 0 0 1 0 .... .o.x3.o.o3.o.o&#x ♦ 0 1 0 4 | 0 0 0 0 4 0 0 0 6 | 0 0 0 0 0 0 0 6 0 0 0 0 4 | 0 0 0 0 0 0 0 4 0 0 0 0 1 | * * * * * * * 2 * * * | 0 1 0 0 1 0 ..ox ..xx3..oo ....&#x ♦ 0 0 3 6 | 0 0 0 0 0 3 6 3 6 | 0 0 0 0 0 0 0 0 1 3 6 3 2 | 0 0 0 0 0 0 0 0 0 3 2 1 0 | * * * * * * * * 4 * * | 1 0 0 0 0 1 .... ..xx3..oo3..oo&#x ♦ 0 0 4 4 | 0 0 0 0 0 6 4 0 6 | 0 0 0 0 0 0 0 0 4 0 6 0 4 | 0 0 0 0 0 0 0 0 1 0 4 0 1 | * * * * * * * * * 2 * | 0 0 0 0 1 1 ...x ...x3...o3...o ♦ 0 0 0 8 | 0 0 0 0 0 0 0 4 12 | 0 0 0 0 0 0 0 0 0 0 0 6 8 | 0 0 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * 1 | 0 0 1 0 0 1 ------------------------+---------+--------------------+-------------------------------+-----------------------------+-----------------------+------------ oxox ooxx3oooo ....&#xr ♦ 1 2 3 6 | 2 6 1 6 6 3 6 3 6 | 1 6 3 6 3 6 6 6 1 3 6 3 2 | 3 6 3 2 3 2 6 2 0 3 2 1 0 | 3 2 1 0 1 0 2 0 1 0 0 | 4 * * * * * .... oo.x3oo.o3oo.o&#x ♦ 1 1 0 4 | 1 4 0 0 4 0 0 0 6 | 0 4 0 6 0 0 0 6 0 0 0 0 4 | 0 6 0 4 0 0 0 4 0 0 0 0 1 | 0 4 0 1 0 0 0 1 0 0 0 | * 2 * * * * o..x o..x3o..o3o..o&#x ♦ 1 0 0 8 | 0 8 0 0 0 0 0 4 12 | 0 0 4 12 0 0 0 0 0 0 0 6 8 | 0 0 6 8 0 0 0 0 0 0 0 4 2 | 0 0 4 2 0 0 0 0 0 0 1 | * * 1 * * * .xo. .ox.3.oo.3.oo.&#x ♦ 0 2 4 0 | 0 0 1 8 0 6 0 0 0 | 0 0 0 0 4 12 0 0 4 0 0 0 0 | 0 0 0 0 6 8 0 0 1 0 0 0 0 | 0 0 0 0 4 2 0 0 0 0 0 | * * * 1 * * .... .oxx3.ooo3.ooo&#x ♦ 0 1 4 4 | 0 0 0 4 4 6 4 0 6 | 0 0 0 0 0 6 4 6 4 0 6 0 4 | 0 0 0 0 0 4 6 4 1 0 4 0 1 | 0 0 0 0 0 1 4 1 0 1 0 | * * * * 2 * ..ox ..xx3..oo3..oo&#x ♦ 0 0 4 8 | 0 0 0 0 0 6 8 4 12 | 0 0 0 0 0 0 0 0 4 4 12 6 8 | 0 0 0 0 0 0 0 0 1 6 8 4 2 | 0 0 0 0 0 0 0 0 4 2 1 | * * * * * 1
xoxoxo3oooooo3oooooo&#xr → all consecutive pairwise heights = sqrt(5/8) = 0.790569 all alternating pairwise heights = 1 Note: these lengths show that this cycle is not flat, rather it is wobbling up and down! o.....3o.....3o..... & | 12 * | 3 2 2 0 | 3 6 2 6 1 1 0 | 1 6 6 1 6 3 3 | 2 6 3 2 3 3 | 2 3 1 1 .o....3.o....3.o.... & | * 3 ♦ 0 8 0 2 | 0 12 4 0 0 8 1 | 0 8 6 4 0 0 12 | 2 4 6 0 0 8 | 1 4 0 2 ---------------------------+------+------------+--------------------+-------------------+---------------+-------- x..... ...... ...... & | 2 0 | 18 * * * | 2 2 0 2 0 0 0 | 1 4 2 0 4 1 1 | 2 4 1 2 2 2 | 2 2 1 1 oo....3oo....3oo....&#x & | 1 1 | * 24 * * | 0 3 1 0 0 1 0 | 0 3 3 1 0 0 3 | 1 3 3 0 0 3 | 1 3 0 1 o.o...3o.o...3o.o...&#x & | 2 0 | * * 12 * | 0 0 1 3 1 0 0 | 0 0 3 1 3 3 0 | 0 3 3 1 3 0 | 1 3 1 0 .o.o..3.o.o..3.o.o..&#x & | 0 2 | * * * 3 | 0 0 0 0 0 4 1 | 0 0 0 4 0 0 6 | 0 0 6 0 0 4 | 0 4 0 1 ---------------------------+------+------------+--------------------+-------------------+---------------+-------- x.....3o..... ...... & | 3 0 | 3 0 0 0 | 12 * * * * * * | 1 2 0 0 2 0 0 | 2 2 0 2 1 1 | 2 1 1 1 xo.... ...... ......&#x & | 2 1 | 1 2 0 0 | * 36 * * * * * | 0 2 1 0 0 0 1 | 1 2 1 0 0 2 | 1 2 0 1 ooo...3ooo...3ooo...&#x & | 2 1 | 0 2 1 0 | * * 12 * * * * ♦ 0 0 3 1 0 0 0 | 0 3 3 0 0 0 | 1 3 0 0 x.x... ...... ......&#x & | 4 0 | 2 0 2 0 | * * * 18 * * * | 0 0 1 0 2 1 0 | 0 2 1 1 2 0 | 1 2 1 0 o.o.o.3o.o.o.3o.o.o.&#x | 3 0 | 0 0 3 0 | * * * * 4 * * | 0 0 0 1 0 3 0 | 0 0 3 0 3 0 | 0 3 1 0 .ooo..3.ooo..3.ooo..&#x & | 1 2 | 0 2 0 1 | * * * * * 12 * | 0 0 0 1 0 0 3 | 0 0 3 0 0 3 | 0 3 0 1 .o.o.o3.o.o.o3.o.o.o&#x | 0 3 | 0 0 0 3 | * * * * * * 1 ♦ 0 0 0 4 0 0 0 | 0 0 6 0 0 0 | 0 4 0 0 ---------------------------+------+------------+--------------------+-------------------+---------------+-------- x.....3o.....3o..... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | 3 * * * * * * | 2 0 0 2 0 0 | 2 0 1 1 xo....3oo.... ......&#x & ♦ 3 1 | 3 3 0 0 | 1 3 0 0 0 0 0 | * 24 * * * * * | 1 1 0 0 0 1 | 1 1 0 1 xox... ...... ......&#x & ♦ 4 1 | 2 4 2 0 | 0 2 2 1 0 0 0 | * * 18 * * * * | 0 2 1 0 0 0 | 1 2 0 0 oooooo3oooooo3oooooo&#xr ♦ 3 3 | 0 6 3 3 | 0 0 3 0 1 3 1 | * * * 4 * * * | 0 0 3 0 0 0 | 0 3 0 0 x.x...3o.o... ......&#x & ♦ 6 0 | 6 0 3 0 | 2 0 0 3 0 0 0 | * * * * 12 * * | 0 1 0 1 1 0 | 1 1 1 0 x.x.x. ...... ......&#x ♦ 6 0 | 3 0 6 0 | 0 0 0 3 2 0 0 | * * * * * 6 * | 0 0 1 0 2 0 | 0 2 1 0 .oxo.. ...... ......&#x & ♦ 2 2 | 1 4 0 1 | 0 2 0 0 0 2 0 | * * * * * * 18 | 0 0 1 0 0 2 | 0 2 0 1 ---------------------------+------+------------+--------------------+-------------------+---------------+-------- xo....3oo....3oo....&#x & ♦ 4 1 | 6 4 0 0 | 4 6 0 0 0 0 0 | 1 4 0 0 0 0 0 | 6 * * * * * | 1 0 0 1 xox...3ooo... ......&#x & ♦ 6 1 | 6 6 3 0 | 2 6 3 3 0 0 0 | 0 2 3 0 1 0 0 | * 12 * * * * | 1 1 0 0 xoxoxo ...... ......&#xr ♦ 6 3 | 3 12 6 3 | 0 6 6 3 2 6 1 | 0 0 3 2 0 1 3 | * * 6 * * * | 0 2 0 0 x.x...3o.o...3o.o...&#x & ♦ 8 0 | 12 0 4 0 | 8 0 0 6 0 0 0 | 2 0 0 0 4 0 0 | * * * 3 * * | 1 0 1 0 x.x.x.3o.o.o. ......&#x ♦ 9 0 | 9 0 9 0 | 3 0 0 9 3 0 0 | 0 0 0 0 3 3 0 | * * * * 4 * | 0 1 1 0 .oxo..3.ooo.. ......&#x & ♦ 3 2 | 3 6 0 1 | 1 6 0 0 0 3 0 | 0 2 0 0 0 0 3 | * * * * * 12 | 0 1 0 1 ---------------------------+------+------------+--------------------+-------------------+---------------+-------- xox...3ooo...3ooo...&#x & ♦ 8 1 | 12 8 4 0 | 8 12 4 6 0 0 0 | 2 8 6 0 4 0 0 | 2 4 0 1 0 0 | 3 * * * xoxoxo3oooooo ......&#xr ♦ 9 3 | 9 18 9 3 | 3 18 9 9 3 9 1 | 0 6 9 3 3 3 9 | 0 3 3 0 1 3 | * 4 * * x.x.x.3o.o.o.3o.o.o.&#x ♦ 12 0 | 18 0 12 0 | 12 0 0 18 4 0 0 | 3 0 0 0 12 6 0 | 0 0 0 3 4 0 | * * 1 * .oxo..3.ooo..3.ooo..&#x & ♦ 4 2 | 6 8 0 1 | 4 12 0 0 0 4 0 | 1 8 0 0 0 0 6 | 2 0 0 0 0 4 | * * * 3
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