Acronym penp
Name pentachoron prism,
vertex figure of ril
|,>,O device line pyramid pyramid pyramid prism = |>>>|
Circumradius sqrt(13/20) = 0.806226
Volume sqrt(5)/96 = 0.023292
Face vector 10, 25, 30, 20, 7
Confer
variations:
q x3o3o3o  
ambification:
repenp  
general polytopal classes:
Wythoffian polytera   segmentotera   lace simplices  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x3o3o3o

. . . . . | 10 | 1  4 |  4  6 |  6  4 | 4 1
----------+----+------+-------+-------+----
x . . . . |  2 | 5  *   4  0 |  6  0 | 4 0
. x . . . |  2 | * 20 |  1  3 |  3  3 | 3 1
----------+----+------+-------+-------+----
x x . . . |  4 | 2  2 | 10  * |  3  0 | 3 0
. x3o . . |  3 | 0  3 |  * 20 |  1  2 | 2 1
----------+----+------+-------+-------+----
x x3o . .   6 | 3  6 |  3  2 | 10  * | 2 0
. x3o3o .   4 | 0  6 |  0  4 |  * 10 | 1 1
----------+----+------+-------+-------+----
x x3o3o .   8 | 4 12 |  6  8 |  4  2 | 5 *
. x3o3o3o   5 | 0 10 |  0 10 |  0  5 | * 2

xx3oo3oo3oo&#x   → height = 1
(pen || pen)

o.3o.3o.3o.    | 5 * |  4 1  0 |  6  4  0 | 4  6 0 | 1 4 0
.o3.o3.o3.o    | * 5 |  0 1  4 |  0  4  6 | 0  6 4 | 0 4 1
---------------+-----+---------+----------+--------+------
x. .. .. ..    | 2 0 | 10 *  * |  3  1  0 | 3  3 0 | 1 3 0
oo3oo3oo3oo&#x | 1 1 |  * 5  *   0  4  0 | 0  6 0 | 0 4 0
.x .. .. ..    | 0 2 |  * * 10 |  0  1  3 | 0  3 3 | 0 3 1
---------------+-----+---------+----------+--------+------
x.3o. .. ..    | 3 0 |  3 0  0 | 10  *  * | 2  1 0 | 1 2 0
xx .. .. ..&#x | 2 2 |  1 2  1 |  * 10  * | 0  3 0 | 0 3 0
.x3.o .. ..    | 0 3 |  0 0  3 |  *  * 10 | 0  1 2 | 0 2 1
---------------+-----+---------+----------+--------+------
x.3o.3o. ..     4 0 |  6 0  0 |  4  0  0 | 5  * * | 1 1 0
xx3oo .. ..&#x  3 3 |  3 3  3 |  1  3  1 | * 10 * | 0 2 0
.x3.o3.o ..     0 4 |  0 0  6 |  0  0  4 | *  * 5 | 0 1 1
---------------+-----+---------+----------+--------+------
x.3o.3o.3o.     5 0 | 10 0  0 | 10  0  0 | 5  0 0 | 1 * *
xx3oo3oo ..&#x  4 4 |  6 4  6 |  4  6  4 | 1  4 1 | * 5 *
.x3.o3.o3.o     0 5 |  0 0 10 |  0  0 10 | 0  0 5 | * * 1

xx ox3oo3oo&#x   → height = sqrt(5/8) = 0.790569
(line || tepe)

o. o.3o.3o.    | 2 * | 1 4 0  0 | 4  6 0 0 | 6 4 0 0 | 4 1 0
.o .o3.o3.o    | * 8 | 0 1 1  3 | 1  3 3 3 | 3 3 3 1 | 3 1 1
---------------+-----+----------+----------+---------+------
x. .. .. ..    | 2 0 | 1 * *  *  4  0 0 0 | 6 0 0 0 | 4 0 0
oo oo3oo3oo&#x | 1 1 | * 8 *  * | 1  3 0 0 | 3 3 0 0 | 3 1 0
.x .. .. ..    | 0 2 | * * 4  *  1  0 3 0 | 3 0 3 0 | 3 0 1
.. .x .. ..    | 0 2 | * * * 12 | 0  1 1 2 | 1 2 2 1 | 2 1 1
---------------+-----+----------+----------+---------+------
xx .. .. ..&#x | 2 2 | 1 2 1  0 | 4  * * * | 3 0 0 0 | 3 0 0
.. ox .. ..&#x | 1 2 | 0 2 0  1 | * 12 * * | 1 2 0 0 | 2 1 0
.x .x .. ..    | 0 4 | 0 0 2  2 | *  * 6 * | 1 0 2 0 | 2 0 1
.. .x3.o ..    | 0 3 | 0 0 0  3 | *  * * 8 | 0 1 1 1 | 1 1 1
---------------+-----+----------+----------+---------+------
xx ox .. ..&#x  2 4 | 1 4 2  2 | 2  2 1 0 | 6 * * * | 2 0 0
.. ox3oo ..&#x  1 3 | 0 3 0  3 | 0  3 0 1 | * 8 * * | 1 1 0
.x .x3.o ..     0 6 | 0 0 3  6 | 0  0 3 2 | * * 4 * | 1 0 1
.. .x3.o3.o     0 4 | 0 0 0  6 | 0  0 0 4 | * * * 2 | 0 1 1
---------------+-----+----------+----------+---------+------
xx ox3oo ..&#x  2 6 | 1 6 3  6 | 3  6 3 2 | 3 2 1 0 | 4 * *
.. ox3oo3oo&#x  1 4 | 0 4 0  6 | 0  6 0 4 | 0 4 0 1 | * 2 *
.x .x3.o3.o     0 8 | 0 0 4 12 | 0  0 6 8 | 0 0 4 2 | * * 1

xx xo ox3oo&#x   → height = sqrt(5/12) = 0.645497
({4} || ortho trip)

o. o. o.3o.    | 4 * | 1 1  3 0 0 | 1 3 3  3 0 0 | 3 3 3 1 0 | 3 1 1
.o .o .o3.o    | * 6 | 0 0  2 1 2 | 0 2 1  4 2 1 | 1 4 2 2 1 | 2 2 1
---------------+-----+------------+--------------+-----------+------
x. .. .. ..    | 2 0 | 2 *  * * *  1 3 0  0 0 0 | 3 3 0 0 0 | 3 1 0
.. x. .. ..    | 2 0 | * 2  * * * | 1 0 3  0 0 0 | 3 0 3 0 0 | 3 0 1
oo oo oo3oo&#x | 1 1 | * * 12 * * | 0 1 1  2 0 0 | 1 2 2 1 0 | 2 1 1
.x .. .. ..    | 0 2 | * *  * 3 *  0 2 0  0 2 0 | 1 4 0 0 1 | 2 2 0
.. .. .x ..    | 0 2 | * *  * * 6 | 0 0 0  2 1 1 | 0 2 1 2 1 | 1 2 1
---------------+-----+------------+--------------+-----------+------
x. x. .. ..    | 4 0 | 2 2  0 0 0 | 1 * *  * * * | 3 0 0 0 0 | 3 0 0
xx .. .. ..&#x | 2 2 | 1 0  2 1 0 | * 6 *  * * * | 1 2 0 0 0 | 2 1 0
.. xo .. ..&#x | 2 1 | 0 1  2 0 0 | * * 6  * * * | 1 0 2 0 0 | 2 0 1
.. .. ox ..&#x | 1 2 | 0 0  2 0 1 | * * * 12 * * | 0 1 1 1 0 | 1 1 1
.x .. .x ..    | 0 4 | 0 0  0 2 2 | * * *  * 3 * | 0 2 0 0 1 | 1 2 0
.. .. .x3.o    | 0 3 | 0 0  0 0 3 | * * *  * * 2 | 0 0 0 2 1 | 0 2 1
---------------+-----+------------+--------------+-----------+------
xx xo .. ..&#x  4 2 | 2 2  4 1 0 | 1 2 2  0 0 0 | 3 * * * * | 2 0 0
xx .. ox ..&#x  2 4 | 1 0  4 2 2 | 0 2 0  2 1 0 | * 6 * * * | 1 1 0
.. xo ox ..&#x  2 2 | 0 1  4 0 1 | 0 0 2  2 0 0 | * * 6 * * | 1 0 1
.. .. ox3oo&#x  1 3 | 0 0  3 0 3 | 0 0 0  3 0 1 | * * * 4 * | 0 1 1
.x .. .x3.o     0 6 | 0 0  0 3 6 | 0 0 0  0 3 2 | * * * * 1 | 0 2 0
---------------+-----+------------+--------------+-----------+------
xx xo ox ..&#x  4 4 | 2 2  8 2 2 | 1 4 4  4 1 0 | 2 2 2 0 0 | 3 * *
xx .. ox3oo&#x  2 6 | 1 0  6 3 6 | 0 3 0  6 3 2 | 0 3 0 2 1 | * 2 *
.. xo ox3oo&#x  2 3 | 0 1  6 0 3 | 0 0 3  6 0 1 | 0 0 3 2 0 | * * 2

oox oxo xxx&#x   → height(1,2) = height(1,3) = sqrt(3)/2 = 0.866025
                   height(2,3) = 1/sqrt(2) = 0.707107
                   height(1,23) = sqrt(5/8) = 0.790569
                   height(12,3) = height(13,2) = sqrt(5/12) = 0.645497

o.. o.. o..    | 2 * * | 1 2 2 0 0 0 0 0 | 1 2 1 2 4 0 0 0 0 0 | 1 1 2 2 4 0 0 0 | 1 2 2 0
.o. .o. .o.    | * 4 * | 0 1 0 1 1 2 0 0 | 1 1 0 0 2 1 1 2 2 0 | 1 0 1 2 2 1 1 2 | 1 1 2 1
..o ..o ..o    | * * 4 | 0 0 1 0 0 2 1 1 | 0 0 1 1 2 0 2 1 2 1 | 0 1 2 1 2 1 2 1 | 1 2 1 1
---------------+-------+-----------------+---------------------+-----------------+--------
... ... x..    | 2 0 0 | 1 * * * * * * *  0 2 0 2 0 0 0 0 0 0 | 1 1 0 0 4 0 0 0 | 0 2 2 0
oo. oo. oo.&#x | 1 1 0 | * 4 * * * * * * | 1 1 0 0 2 0 0 0 0 0 | 1 0 1 2 2 0 0 0 | 1 1 2 0
o.o o.o o.o&#x | 1 0 1 | * * 4 * * * * * | 0 0 1 1 2 0 0 0 0 0 | 0 1 2 1 2 0 0 0 | 1 2 1 0
... .x. ...    | 0 2 0 | * * * 2 * * * * | 1 0 0 0 0 1 0 2 0 0 | 1 0 0 2 0 1 0 2 | 1 0 2 1
... ... .x.    | 0 2 0 | * * * * 2 * * *  0 1 0 0 0 1 0 0 2 0 | 1 0 0 0 2 0 1 2 | 0 1 2 1
.oo .oo .oo&#x | 0 1 1 | * * * * * 8 * * | 0 0 0 0 1 0 1 1 1 0 | 0 0 1 1 1 1 1 1 | 1 1 1 1
..x ... ...    | 0 0 2 | * * * * * * 2 * | 0 0 1 0 0 0 2 0 0 1 | 0 1 2 0 0 1 2 0 | 1 2 0 1
... ... ..x    | 0 0 2 | * * * * * * * 2  0 0 0 1 0 0 0 0 2 1 | 0 1 0 0 2 0 2 1 | 0 2 1 1
---------------+-------+-----------------+---------------------+-----------------+--------
... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 | 2 * * * * * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
... ... xx.&#x | 2 2 0 | 1 2 0 0 1 0 0 0 | * 2 * * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 0 1 0 | * * 2 * * * * * * * | 0 1 2 0 0 0 0 0 | 1 2 0 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 1 | * * * 2 * * * * * * | 0 1 0 0 2 0 0 0 | 0 2 1 0
ooo ooo ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * * 8 * * * * * | 0 0 1 1 1 0 0 0 | 1 1 1 0
... .x. .x.    | 0 4 0 | 0 0 0 2 2 0 0 0 | * * * * * 1 * * * * | 1 0 0 0 0 0 0 2 | 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0 0 0 2 1 0 | * * * * * * 4 * * * | 0 0 1 0 0 1 1 0 | 1 1 0 1
... .xo ...&#x | 0 2 1 | 0 0 0 1 0 2 0 0 | * * * * * * * 4 * * | 0 0 0 1 0 1 0 1 | 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * 4 * | 0 0 0 0 1 0 1 1 | 0 1 1 1
..x ... ..x    | 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * 1 | 0 1 0 0 0 0 2 0 | 0 2 0 1
---------------+-------+-----------------+---------------------+-----------------+--------
... ox. xx.&#x  2 4 0 | 1 4 0 2 2 0 0 0 | 2 2 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 0 2 2 | 0 0 2 2 0 0 0 0 0 1 | * 1 * * * * * * | 0 2 0 0
oox ... ...&#x  1 1 2 | 0 1 2 0 0 2 1 0 | 0 0 1 0 2 0 1 0 0 0 | * * 4 * * * * * | 1 1 0 0
... oxo ...&#x  1 2 1 | 0 2 1 1 0 2 0 0 | 1 0 0 0 2 0 0 1 0 0 | * * * 4 * * * * | 1 0 1 0
... ... xxx&#x  2 2 2 | 1 2 2 0 1 2 0 1 | 0 1 0 1 2 0 0 0 1 0 | * * * * 4 * * * | 0 1 1 0
.ox .xo ...&#x  0 2 2 | 0 0 0 1 0 4 1 0 | 0 0 0 0 0 0 2 2 0 0 | * * * * * 2 * * | 1 0 0 1
.ox ... .xx&#x  0 2 4 | 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 2 0 2 1 | * * * * * * 2 * | 0 1 0 1
... .xo .xx&#x  0 4 2 | 0 0 0 2 2 4 0 1 | 0 0 0 0 0 1 0 2 2 0 | * * * * * * * 2 | 0 0 1 1
---------------+-------+-----------------+---------------------+-----------------+--------
oox oxo ...&#x  1 2 2 | 0 2 2 1 0 4 1 0 | 1 0 1 0 4 0 2 2 0 0 | 0 0 2 2 0 1 0 0 | 2 * * *
oox ... xxx&#x  2 2 4 | 1 2 4 0 1 4 2 2 | 0 1 2 2 4 0 2 0 2 1 | 0 1 2 0 2 0 1 0 | * 2 * *
... oxo xxx&#x  2 4 2 | 1 4 2 2 2 4 0 1 | 2 2 0 1 4 1 0 2 2 0 | 1 0 0 2 2 0 0 1 | * * 2 *
.ox .xo .xx&#x  0 4 4 | 0 0 0 2 2 8 2 2 | 0 0 0 0 0 1 4 4 4 1 | 0 0 0 0 0 2 2 2 | * * * 1

xxx ooo3oox&#x   → height(1,2) = 1
                   height(1,3) = height(2,3) = sqrt(2/3) = 0.816497

o.. o..3o..    | 2 * * | 1 1 3 0 0 0 0 | 1 3 3 3 0 0 0 0 | 3 1 3 3 0 0 0 | 1 3 1 0
.o. .o.3.o.    | * 2 * | 0 1 0 1 3 0 0 | 1 0 0 3 3 3 0 0 | 0 0 3 3 3 1 0 | 0 3 1 1
..o ..o3..o    | * * 6 | 0 0 1 0 1 1 2 | 0 1 2 1 1 2 2 1 | 2 1 1 2 2 1 1 | 1 2 1 1
---------------+-------+---------------+-----------------+---------------+--------
x.. ... ...    | 2 0 0 | 1 * * * * * *  1 3 0 0 0 0 0 0 | 3 0 3 0 0 0 0 | 1 3 0 0
oo. oo.3oo.&#x | 1 1 0 | * 2 * * * * * | 1 0 0 3 0 0 0 0 | 0 0 3 3 0 0 0 | 0 3 1 0
o.o o.o3o.o&#x | 1 0 1 | * * 6 * * * * | 0 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.x. ... ...    | 0 2 0 | * * * 1 * * *  1 0 0 0 3 0 0 0 | 0 0 3 0 3 0 0 | 0 3 0 1
.oo .oo3.oo&#x | 0 1 1 | * * * * 6 * * | 0 0 0 1 1 2 0 0 | 0 0 1 2 2 1 0 | 0 2 1 1
..x ... ...    | 0 0 2 | * * * * * 3 *  0 1 0 0 1 0 2 0 | 2 0 1 0 2 0 1 | 1 2 0 1
... ... ..x    | 0 0 2 | * * * * * * 6 | 0 0 1 0 0 1 1 1 | 1 1 0 1 1 1 1 | 1 1 1 1
---------------+-------+---------------+-----------------+---------------+--------
xx. ... ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | 1 * * * * * * * | 0 0 3 0 0 0 0 | 0 3 0 0
x.x ... ...&#x | 2 0 2 | 1 0 2 0 0 1 0 | * 3 * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
... ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 1 | * * 6 * * * * * | 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 1 2 0 0 0 | 0 2 1 0
.xx ... ...&#x | 0 2 2 | 0 0 0 1 2 1 0 | * * * * 3 * * * | 0 0 1 0 2 0 0 | 0 2 0 1
... ... .ox&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * 6 * * | 0 0 0 1 1 1 0 | 0 1 1 1
..x ... ..x    | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * 3 * | 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 1 0 0 0 1 1 | 1 0 1 1
---------------+-------+---------------+-----------------+---------------+--------
x.x ... o.x&#x  2 0 4 | 1 0 4 0 0 2 2 | 0 2 2 0 0 0 1 0 | 3 * * * * * * | 1 1 0 0
... o.o3o.x&#x  1 0 3 | 0 0 3 0 0 0 3 | 0 0 3 0 0 0 0 1 | * 2 * * * * * | 1 0 1 0
xxx ... ...&#x  2 2 2 | 1 2 2 1 2 1 0 | 1 1 0 2 1 0 0 0 | * * 3 * * * * | 0 2 0 0
... ... oox&#x  1 1 2 | 0 1 2 0 2 0 1 | 0 0 1 2 0 1 0 0 | * * * 6 * * * | 0 1 1 0
.xx ... .ox&#x  0 2 4 | 0 0 0 1 4 2 2 | 0 0 0 0 2 2 1 0 | * * * * 3 * * | 0 1 0 1
... .oo3.ox&#x  0 1 3 | 0 0 0 0 3 0 3 | 0 0 0 0 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 3 2 | * * * * * * 1 | 1 0 0 1
---------------+-------+---------------+-----------------+---------------+--------
x.x o.o3o.x&#x  2 0 6 | 1 0 6 0 0 3 6 | 0 3 6 0 0 0 3 2 | 3 2 0 0 0 0 1 | 1 * * *
xxx ... oox&#x  2 2 4 | 1 2 4 1 4 2 2 | 1 2 2 4 2 2 1 0 | 1 0 2 2 1 0 0 | * 3 * *
... ooo3oox&#x  1 1 3 | 0 1 3 0 3 0 3 | 0 0 3 3 0 3 0 1 | 0 1 0 3 0 1 0 | * * 2 *
.xx .oo3.ox&#x  0 2 6 | 0 0 0 1 6 3 6 | 0 0 0 0 3 6 3 2 | 0 0 0 0 3 2 1 | * * * 1

ooox xxxx&#x   → height(1,2) = height(1,3) = height(2,3) = 1
                 height(1,4) = height(2,4) = height(3,4) = sqrt(3)/2 = 0.866025

o... o...    | 2 * * * | 1 1 1 2 0 0 0 0 0 0 0 | 1 1 2 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.. .o..    | * 2 * * | 0 1 0 0 1 1 2 0 0 0 0 | 1 1 2 0 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. ..o.    | * * 2 * | 0 0 1 0 0 1 0 1 2 0 0 | 0 1 0 1 2 0 0 1 2 0 0 1 2 0 | 1 2 0 0 1 2 0 1 2 0 1 | 1 2 0 1 1
...o ...o    | * * * 4 | 0 0 0 1 0 0 1 0 1 1 1 | 0 0 1 0 1 1 1 0 1 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
-------------+---------+-----------------------+-----------------------------+-----------------------+----------
.... x...    | 2 0 0 0 | 1 * * * * * * * * * *  1 0 0 1 0 0 2 0 0 0 0 0 0 0 | 1 0 0 2 0 2 1 0 0 0 0 | 0 2 1 1 0
oo.. oo..&#x | 1 1 0 0 | * 2 * * * * * * * * * | 1 1 2 0 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. o.o.&#x | 1 0 1 0 | * * 2 * * * * * * * * | 0 1 0 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 1 2 0 0 0 0 0 | 1 2 0 1 0
o..o o..o&#x | 1 0 0 1 | * * * 4 * * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.... .x..    | 0 2 0 0 | * * * * 1 * * * * * *  1 0 0 0 0 0 0 1 0 0 2 0 0 0 | 1 0 0 2 0 0 0 0 2 1 0 | 0 2 1 0 1
.oo. .oo.&#x | 0 1 1 0 | * * * * * 2 * * * * * | 0 1 0 0 0 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 0 0 1 2 0 0 | 1 2 0 0 1
.o.o .o.o&#x | 0 1 0 1 | * * * * * * 4 * * * * | 0 0 1 0 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.... ..x.    | 0 0 2 0 | * * * * * * * 1 * * *  0 0 0 1 0 0 0 1 0 0 0 0 2 0 | 1 0 0 0 0 2 0 0 2 0 1 | 0 2 0 1 1
..oo ..oo&#x | 0 0 1 1 | * * * * * * * * 4 * * | 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
...x ....    | 0 0 0 2 | * * * * * * * * * 2 *  0 0 0 0 0 1 0 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.... ...x    | 0 0 0 2 | * * * * * * * * * * 2 | 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
-------------+---------+-----------------------+-----------------------------+-----------------------+----------
.... xx..&#x | 2 2 0 0 | 1 2 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 | 0 2 1 0 0
ooo. ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 0 | * * 4 * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.... x.x.&#x | 2 0 2 0 | 1 0 2 0 0 0 0 1 0 0 0 | * * * 1 * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 | 0 2 0 1 0
o.oo o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 1 0 0 | * * * * 4 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 1 0 | * * * * * 2 * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.... x..x&#x | 2 0 0 2 | 1 0 0 2 0 0 0 0 0 0 1 | * * * * * * 2 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.... .xx.&#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 0 | * * * * * * * 1 * * * * * * | 1 0 0 0 0 0 0 0 2 0 0 | 0 2 0 0 1
.ooo .ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 0 0 2 0 0 1 0 | * * * * * * * * * 2 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .x.x&#x | 0 2 0 2 | 0 0 0 0 1 0 2 0 0 0 1 | * * * * * * * * * * 2 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * 2 * * | 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 0 1 | * * * * * * * * * * * * 2 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
...x ...x    | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
-------------+---------+-----------------------+-----------------------------+-----------------------+----------
.... 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 0 | 1 * * * * * * * * * * | 0 2 0 0 0
oooo oooo&#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 0 | * 4 * * * * * * * * * | 1 1 0 0 0
oo.x ....&#x  1 1 0 2 | 0 1 0 2 0 0 2 0 0 1 0 | 0 0 2 0 0 1 0 0 0 1 0 0 0 0 | * * 2 * * * * * * * * | 1 0 1 0 0
.... xx.x&#x  2 2 0 2 | 1 2 0 2 1 0 2 0 0 0 1 | 1 0 2 0 0 0 1 0 0 0 1 0 0 0 | * * * 2 * * * * * * * | 0 1 1 0 0
o.ox ....&#x  1 0 1 2 | 0 0 1 2 0 0 0 0 2 1 0 | 0 0 0 0 2 1 0 0 0 0 0 1 0 0 | * * * * 2 * * * * * * | 1 0 0 1 0
.... x.xx&#x  2 0 2 2 | 1 0 2 2 0 0 0 1 2 0 1 | 0 0 0 1 2 0 1 0 0 0 0 0 1 0 | * * * * * 2 * * * * * | 0 1 0 1 0
o..x x..x&#x  2 0 0 4 | 1 0 0 4 0 0 0 0 0 2 2 | 0 0 0 0 0 2 2 0 0 0 0 0 0 1 | * * * * * * 1 * * * * | 0 0 1 1 0
.oox ....&#x  0 1 1 2 | 0 0 0 0 0 1 2 0 2 1 0 | 0 0 0 0 0 0 0 0 2 1 0 1 0 0 | * * * * * * * 2 * * * | 1 0 0 0 1
.... .xxx&#x  0 2 2 2 | 0 0 0 0 1 2 2 1 2 0 1 | 0 0 0 0 0 0 0 1 2 0 1 0 1 0 | * * * * * * * * 2 * * | 0 1 0 0 1
.o.x .x.x&#x  0 2 0 4 | 0 0 0 0 1 0 4 0 0 2 2 | 0 0 0 0 0 0 0 0 0 2 2 0 0 1 | * * * * * * * * * 1 * | 0 0 1 0 1
..ox ..xx&#x  0 0 2 4 | 0 0 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 0 0 0 2 2 1 | * * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-----------------------+-----------------------------+-----------------------+----------
ooox ....&#x  1 1 1 2 | 0 1 1 2 0 1 2 0 2 1 0 | 0 1 2 0 2 1 0 0 2 1 0 1 0 0 | 0 2 1 0 1 0 0 1 0 0 0 | 2 * * * *
.... xxxx&#x  2 2 2 2 | 1 2 2 2 1 2 2 1 2 0 1 | 1 2 2 1 2 0 1 1 2 0 1 0 1 0 | 1 2 0 1 0 1 0 0 1 0 0 | * 2 * * *
oo.x xx.x&#x  2 2 0 4 | 1 2 0 4 1 0 4 0 0 2 2 | 1 0 4 0 0 2 2 0 0 2 2 0 0 1 | 0 0 2 2 0 0 1 0 0 1 0 | * * 1 * *
o.ox x.xx&#x  2 0 2 4 | 1 0 2 4 0 0 0 1 4 2 2 | 0 0 0 1 4 2 2 0 0 0 0 2 2 1 | 0 0 0 0 2 2 1 0 0 0 1 | * * * 1 *
.oox .xxx&#x  0 2 2 4 | 0 0 0 0 1 2 4 1 4 2 2 | 0 0 0 0 0 0 0 1 4 2 2 2 2 1 | 0 0 0 0 0 0 0 2 2 1 1 | * * * * 1

xxxxx&#x   → all pairwise heights = 1

o....    | 2 * * * * | 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0
.o...    | * 2 * * * | 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 | 1 1 1 1 0 1
..o..    | * * 2 * * | 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 | 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1
...o.    | * * * 2 * | 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 | 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 | 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1
....o    | * * * * 2 | 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------+-----------+-------------------------------+-----------------------------------------+-------------------------------+------------
x....    | 2 0 0 0 0 | 1 * * * * * * * * * * * * * *  1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0
oo...&#x | 1 1 0 0 0 | * 2 * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o..&#x | 1 0 1 0 0 | * * 2 * * * * * * * * * * * * | 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0
o..o.&#x | 1 0 0 1 0 | * * * 2 * * * * * * * * * * * | 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
o...o&#x | 1 0 0 0 1 | * * * * 2 * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x...    | 0 2 0 0 0 | * * * * * 1 * * * * * * * * *  1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 | 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1
.oo..&#x | 0 1 1 0 0 | * * * * * * 2 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1
.o.o.&#x | 0 1 0 1 0 | * * * * * * * 2 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
.o..o&#x | 0 1 0 0 1 | * * * * * * * * 2 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x..    | 0 0 2 0 0 | * * * * * * * * * 1 * * * * *  0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 | 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1
..oo.&#x | 0 0 1 1 0 | * * * * * * * * * * 2 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1
..o.o&#x | 0 0 1 0 1 | * * * * * * * * * * * 2 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
...x.    | 0 0 0 2 0 | * * * * * * * * * * * * 1 * *  0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1
...oo&#x | 0 0 0 1 1 | * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
....x    | 0 0 0 0 2 | * * * * * * * * * * * * * * 1  0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------+-----------+-------------------------------+-----------------------------------------+-------------------------------+------------
xx...&#x | 2 2 0 0 0 | 1 2 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo..&#x | 1 1 1 0 0 | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
oo.o.&#x | 1 1 0 1 0 | 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
oo..o&#x | 1 1 0 0 1 | 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | * * * 2 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
x.x..&#x | 2 0 2 0 0 | 1 0 2 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * 1 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
o.oo.&#x | 1 0 1 1 0 | 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 | * * * * * 2 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
o.o.o&#x | 1 0 1 0 1 | 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 | * * * * * * 2 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
x..x.&#x | 2 0 0 2 0 | 1 0 0 2 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 1 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
o..oo&#x | 1 0 0 1 1 | 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * 2 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
x...x&#x | 2 0 0 0 2 | 1 0 0 0 2 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.xx..&#x | 0 2 2 0 0 | 0 0 0 0 0 1 2 0 0 1 0 0 0 0 0 | * * * * * * * * * * 1 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1
.ooo.&#x | 0 1 1 1 0 | 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 | * * * * * * * * * * * 2 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
.oo.o&#x | 0 1 1 0 1 | 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 | * * * * * * * * * * * * 2 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x.x.&#x | 0 2 0 2 0 | 0 0 0 0 0 1 0 2 0 0 0 0 1 0 0 | * * * * * * * * * * * * * 1 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.o.oo&#x | 0 1 0 1 1 | 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 | * * * * * * * * * * * * * * 2 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x..x&#x | 0 2 0 0 2 | 0 0 0 0 0 1 0 0 2 0 0 0 0 0 1 | * * * * * * * * * * * * * * * 1 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..xx.&#x | 0 0 2 2 0 | 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 | * * * * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1
..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x.x&#x | 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1 | * * * * * * * * * * * * * * * * * * 1 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
...xx&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------+-----------+-------------------------------+-----------------------------------------+-------------------------------+------------
xxx..&#x  2 2 2 0 0 | 1 2 2 0 0 1 2 0 0 1 0 0 0 0 0 | 1 2 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 1 0 0 0
oooo.&#x  1 1 1 1 0 | 0 1 1 1 0 0 1 1 0 0 1 0 0 0 0 | 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * | 1 1 0 0 0 0
ooo.o&#x  1 1 1 0 1 | 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 | 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * | 0 1 1 0 0 0
xx.x.&#x  2 2 0 2 0 | 1 2 0 2 0 1 0 2 0 0 0 0 1 0 0 | 1 0 2 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 1 * * * * * * * * * * * | 1 0 0 1 0 0
oo.oo&#x  1 1 0 1 1 | 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | * * * * 2 * * * * * * * * * * | 0 1 0 1 0 0
xx..x&#x  2 2 0 0 2 | 1 2 0 0 2 1 0 0 2 0 0 0 0 0 1 | 1 0 0 2 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * * 1 * * * * * * * * * | 0 0 1 1 0 0
x.xx.&#x  2 0 2 2 0 | 1 0 2 2 0 0 0 0 0 1 2 0 1 0 0 | 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0
o.ooo&#x  1 0 1 1 1 | 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 | 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 2 * * * * * * * | 0 1 0 0 1 0
x.x.x&#x  2 0 2 0 2 | 1 0 2 0 2 0 0 0 0 1 0 2 0 0 1 | 0 0 0 0 1 0 2 0 0 1 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * 1 * * * * * * | 0 0 1 0 1 0
x..xx&#x  2 0 0 2 2 | 1 0 0 2 2 0 0 0 0 0 0 0 1 2 1 | 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * * | 0 0 0 1 1 0
.xxx.&#x  0 2 2 2 0 | 0 0 0 0 0 1 2 2 0 1 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 1 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.oooo&#x  0 1 1 1 1 | 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 | * * * * * * * * * * * 2 * * * | 0 1 0 0 0 1
.xx.x&#x  0 2 2 0 2 | 0 0 0 0 0 1 2 0 2 1 0 2 0 0 1 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1 0 0 1 0 | * * * * * * * * * * * * 1 * * | 0 0 1 0 0 1
.x.xx&#x  0 2 0 2 2 | 0 0 0 0 0 1 0 2 2 0 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 | * * * * * * * * * * * * * 1 * | 0 0 0 1 0 1
..xxx&#x  0 0 2 2 2 | 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------+-----------+-------------------------------+-----------------------------------------+-------------------------------+------------
xxxx.&#x  2 2 2 2 0 | 1 2 2 2 0 1 2 2 0 1 2 0 1 0 0 | 1 2 2 0 1 2 0 1 0 0 1 2 0 1 0 0 1 0 0 0 | 1 2 0 1 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * *
ooooo&#x  1 1 1 1 1 | 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 | 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 0 | 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 | * 2 * * * *
xxx.x&#x  2 2 2 0 2 | 1 2 2 0 2 1 2 0 2 1 0 2 0 0 1 | 1 2 0 2 1 0 2 0 0 1 1 0 2 0 0 1 0 0 1 0 | 1 0 2 0 0 1 0 0 1 0 0 0 1 0 0 | * * 1 * * *
xx.xx&#x  2 2 0 2 2 | 1 2 0 2 2 1 0 2 2 0 0 0 1 2 1 | 1 0 2 2 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 | 0 0 0 1 2 1 0 0 0 1 0 0 0 1 0 | * * * 1 * *
x.xxx&#x  2 0 2 2 2 | 1 0 2 2 2 0 0 0 0 1 2 2 1 2 1 | 0 0 0 0 1 2 2 1 2 1 0 0 0 0 0 0 1 2 1 1 | 0 0 0 0 0 0 1 2 1 1 0 0 0 0 1 | * * * * 1 *
.xxxx&#x  0 2 2 2 2 | 0 0 0 0 0 1 2 2 2 1 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 1 2 1 1 | 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 | * * * * * 1

xxoo3oooo3oooo&#xr   → height(1,2) = height(3,4) = 1
                       height(1,4) = height(2,3) = sqrt(5/8) = 0.790569

o...3o...3o...     | 4 * * * | 3 1 1 0 0 0 | 3 3 1 3 0 0 | 1 3 3 3 0 0 | 1 3 1 0
.o..3.o..3.o..     | * 4 * * | 0 1 0 3 1 0 | 0 3 1 0 3 3 | 0 3 3 0 1 3 | 1 3 0 1
..o.3..o.3..o.     | * * 1 * | 0 0 0 0 4 1 | 0 0 4 0 0 6 | 0 0 6 0 0 4 | 0 4 0 1
...o3...o3...o     | * * * 1 | 0 0 4 0 0 1 | 0 0 4 6 0 0 | 0 0 6 4 0 0 | 0 4 1 0
-------------------+---------+-------------+-------------+-------------+--------
x... .... ....     | 2 0 0 0 | 6 * * * * * | 2 1 0 1 0 0 | 1 2 1 2 0 0 | 1 2 1 0
oo..3oo..3oo..&#x  | 1 1 0 0 | * 4 * * * *  0 3 1 0 0 0 | 0 3 3 0 0 0 | 1 3 0 0
o..o3o..o3o..o&#x  | 1 0 0 1 | * * 4 * * * | 0 0 1 3 0 0 | 0 0 3 3 0 0 | 0 3 1 0
.x.. .... ....     | 0 2 0 0 | * * * 6 * * | 0 1 0 0 2 1 | 0 2 1 0 1 2 | 1 2 0 1
.oo.3.oo.3.oo.&#x  | 0 1 1 0 | * * * * 4 * | 0 0 1 0 0 3 | 0 0 3 0 0 3 | 0 3 0 1
..oo3..oo3..oo&#x  | 0 0 1 1 | * * * * * 1  0 0 4 0 0 0 | 0 0 6 0 0 0 | 0 4 0 0
-------------------+---------+-------------+-------------+-------------+--------
x...3o... ....     | 3 0 0 0 | 3 0 0 0 0 0 | 4 * * * * * | 1 1 0 1 0 0 | 1 1 1 0
xx.. .... ....&#x  | 2 2 0 0 | 1 2 0 1 0 0 | * 6 * * * * | 0 2 1 0 0 0 | 1 2 0 0
oooo3oooo3oooo&#xr | 1 1 1 1 | 0 1 1 0 1 1 | * * 4 * * * | 0 0 3 0 0 0 | 0 3 0 0
x..o .... ....&#x  | 2 0 0 1 | 1 0 2 0 0 0 | * * * 6 * * | 0 0 1 2 0 0 | 0 2 1 0
.x..3.o.. ....     | 0 3 0 0 | 0 0 0 3 0 0 | * * * * 4 * | 0 1 0 0 1 1 | 1 1 0 1
.xo. .... ....&#x  | 0 2 1 0 | 0 0 0 1 2 0 | * * * * * 6 | 0 0 1 0 0 2 | 0 2 0 1
-------------------+---------+-------------+-------------+-------------+--------
x...3o...3o...      4 0 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 | 1 * * * * * | 1 0 1 0
xx..3oo.. ....&#x   3 3 0 0 | 3 3 0 3 0 0 | 1 3 0 0 1 0 | * 4 * * * * | 1 1 0 0
xxoo .... ....&#xr  2 2 1 1 | 1 2 2 1 2 1 | 0 1 2 1 0 1 | * * 6 * * * | 0 2 0 0
x..o3o..o ....&#x   3 0 0 1 | 3 0 3 0 0 0 | 1 0 0 3 0 0 | * * * 4 * * | 0 1 1 0
.x..3.o..3.o..      0 4 0 0 | 0 0 0 6 0 0 | 0 0 0 0 4 0 | * * * * 1 * | 1 0 0 1
.xo.3.oo. ....&#x   0 3 1 0 | 0 0 0 3 3 0 | 0 0 0 0 1 3 | * * * * * 4 | 0 1 0 1
-------------------+---------+-------------+-------------+-------------+--------
xx..3oo..3oo..&#x   4 4 0 0 | 6 4 0 6 0 0 | 4 6 0 0 4 0 | 1 4 0 0 1 0 | 1 * * *
xxoo3oooo ....&#xr  3 3 1 1 | 3 3 3 3 3 1 | 1 3 3 3 1 3 | 0 1 3 1 0 1 | * 4 * *
x..o3o..o3o..o&#x   4 0 0 1 | 6 0 4 0 0 0 | 4 0 0 6 0 0 | 1 0 0 4 0 0 | * * 1 *
.xo.3.oo.3.oo.&#x   0 4 1 0 | 0 0 0 6 4 0 | 0 0 0 0 4 6 | 0 0 0 0 1 4 | * * * 1

xxoo3oooo ooxx&#xr   → height(1,2) = height(3,4) = 1
                       height(1,4) = height(2,3) = sqrt(5/12) = 0.645497

o...3o... o...     | 3 * * * | 2 1 2 0 0 0 0 0 | 1 2 4 1 2 0 0 0 0 | 1 2 2 4 1 0 0 | 1 2 2 0
.o..3.o.. .o..     | * 3 * * | 0 1 0 2 2 0 0 0 | 0 2 0 0 2 1 4 1 0 | 1 0 0 4 1 2 2 | 0 2 2 1
..o.3..o. ..o.     | * * 2 * | 0 0 0 0 3 1 1 0 | 0 0 0 0 3 0 3 3 1 | 0 0 0 3 3 1 3 | 0 1 3 1
...o3...o ...o     | * * * 2 | 0 0 3 0 0 0 1 1 | 0 0 3 3 3 0 0 0 1 | 0 1 3 3 3 0 0 | 1 1 3 0
-------------------+---------+-----------------+-------------------+---------------+--------
x... .... ....     | 2 0 0 0 | 3 * * * * * * * | 1 1 2 0 0 0 0 0 0 | 1 2 1 2 0 0 0 | 1 2 1 0
oo..3oo.. oo..&#x  | 1 1 0 0 | * 3 * * * * * *  0 2 0 0 2 0 0 0 0 | 1 0 0 4 1 0 0 | 0 2 2 0
o..o3o..o o..o&#x  | 1 0 0 1 | * * 6 * * * * * | 0 0 2 1 1 0 0 0 0 | 0 1 2 2 1 0 0 | 1 1 2 0
.x.. .... ....     | 0 2 0 0 | * * * 3 * * * * | 0 1 0 0 0 1 2 0 0 | 1 0 0 2 0 2 1 | 0 2 1 1
.oo.3.oo. .oo.&#x  | 0 1 1 0 | * * * * 6 * * * | 0 0 0 0 1 0 2 1 0 | 0 0 0 2 1 1 2 | 0 1 2 1
.... .... ..x.     | 0 0 2 0 | * * * * * 1 * * | 0 0 0 0 0 0 0 3 1 | 0 0 0 0 3 0 3 | 0 0 3 1
..oo3..oo ..oo&#x  | 0 0 1 1 | * * * * * * 2 *  0 0 0 0 3 0 0 0 1 | 0 0 0 3 3 0 0 | 0 1 3 0
.... .... ...x     | 0 0 0 2 | * * * * * * * 1 | 0 0 0 3 0 0 0 0 1 | 0 0 3 0 3 0 0 | 1 0 3 0
-------------------+---------+-----------------+-------------------+---------------+--------
x...3o... ....     | 3 0 0 0 | 3 0 0 0 0 0 0 0 | 1 * * * * * * * * | 1 2 0 0 0 0 0 | 1 2 0 0
xx.. .... ....&#x  | 2 2 0 0 | 1 2 0 1 0 0 0 0 | * 3 * * * * * * * | 1 0 0 2 0 0 0 | 0 2 1 0
x..o .... ....&#x  | 2 0 0 1 | 1 0 2 0 0 0 0 0 | * * 6 * * * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.... .... o..x&#x  | 1 0 0 2 | 0 0 2 0 0 0 0 1 | * * * 3 * * * * * | 0 0 2 0 1 0 0 | 1 0 2 0
oooo3oooo oooo&#x  | 1 1 1 1 | 0 1 1 0 1 0 1 0 | * * * * 6 * * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x..3.o.. ....     | 0 3 0 0 | 0 0 0 3 0 0 0 0 | * * * * * 1 * * * | 1 0 0 0 0 2 0 | 0 2 0 1
.xo. .... ....&#x  | 0 2 1 0 | 0 0 0 1 2 0 0 0 | * * * * * * 6 * * | 0 0 0 1 0 1 1 | 0 1 1 1
.... .... .ox.&#x  | 0 1 2 0 | 0 0 0 0 2 1 0 0 | * * * * * * * 3 * | 0 0 0 0 1 0 2 | 0 0 2 1
.... .... ..xx&#x  | 0 0 2 2 | 0 0 0 0 0 1 2 1 | * * * * * * * * 1 | 0 0 0 0 3 0 0 | 0 0 3 0
-------------------+---------+-----------------+-------------------+---------------+--------
xx..3oo.. ....&#x   3 3 0 0 | 3 3 0 3 0 0 0 0 | 1 3 0 0 0 1 0 0 0 | 1 * * * * * * | 0 2 0 0
x..o3o..o ....&#x   3 0 0 1 | 3 0 3 0 0 0 0 0 | 1 0 3 0 0 0 0 0 0 | * 2 * * * * * | 1 1 0 0
x..o .... o..x&#x   2 0 0 2 | 1 0 4 0 0 0 0 1 | 0 0 2 2 0 0 0 0 0 | * * 3 * * * * | 1 0 1 0
xxoo .... ....&#xr  2 2 1 1 | 1 2 2 1 2 0 1 0 | 0 1 1 0 2 0 1 0 0 | * * * 6 * * * | 0 1 1 0
.... .... ooxx&#xr  1 1 2 2 | 0 1 2 0 2 1 2 1 | 0 0 0 1 2 0 0 1 1 | * * * * 3 * * | 0 0 2 0
.xo.3.oo. ....&#x   0 3 1 0 | 0 0 0 3 3 0 0 0 | 0 0 0 0 0 1 3 0 0 | * * * * * 2 * | 0 1 0 1
.xo. .... .ox.&#x   0 2 2 0 | 0 0 0 1 4 1 0 0 | 0 0 0 0 0 0 2 2 0 | * * * * * * 3 | 0 0 1 1
-------------------+---------+-----------------+-------------------+---------------+--------
x..o3o..o o..x&#x   3 0 0 2 | 3 0 6 0 0 0 0 1 | 1 0 6 3 0 0 0 0 0 | 0 2 3 0 0 0 0 | 1 * * *
xxoo3oooo ....&#xr  3 3 1 1 | 3 3 3 3 3 0 1 0 | 1 3 3 0 3 1 3 0 0 | 1 1 0 3 0 1 0 | * 2 * *
xxoo .... ooxx&#xr  2 2 2 2 | 1 2 4 1 4 1 2 1 | 0 1 2 2 4 0 2 2 1 | 0 0 1 2 2 0 1 | * * 3 *
.xo.3.oo. .ox.&#x   0 3 2 0 | 0 0 0 3 6 1 0 0 | 0 0 0 0 0 1 6 3 0 | 0 0 0 0 0 2 3 | * * * 1

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