Acronym squete
Name square-pyramidal pyramid pyramid,
square-tettene,
1/8 of the triacontiditeron
|,>,O device line prism pyramid pyramid pyramid = ||>>>
Circumradius 1/sqrt(2) = 0.707107
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dual (topologically selfdual, in different orientation)
Confer
uniform relative:
tac  
general polytopal classes:
tettene   segmentotera  

Incidence matrix according to Dynkin symbol

xo3oo ox4oo&#x   → height = 1/sqrt(6) = 0.408248
({3} || perp {4})

o.3o. o.4o.    | 3 *  2  4 0 | 1  8  4 0 | 4  8 1 | 4 2
.o3.o .o4.o    | * 4 | 0  3 2 | 0  3  6 1 | 1  6 3 | 2 3
---------------+-----+--------+-----------+--------+----
x. .. .. ..    | 2 0 | 3  * *  1  4  0 0 | 4  4 0 | 4 1
oo3oo oo4oo&#x | 1 1 | * 12 * | 0  2  2 0 | 1  4 1 | 2 2
.. .. .x ..    | 0 2 | *  * 4 | 0  0  3 1 | 0  3 3 | 1 3
---------------+-----+--------+-----------+--------+----
x.3o. .. ..    | 3 0 | 3  0 0 | 1  *  * * | 4  0 0 | 4 0
xo .. .. ..&#x | 2 1 | 1  2 0 | * 12  * * | 1  2 0 | 2 1
.. .. ox ..&#x | 1 2 | 0  2 1 | *  * 12 * | 0  2 1 | 1 2
.. .. .x4.o    | 0 4 | 0  0 4 | *  *  * 1 | 0  0 3 | 0 3
---------------+-----+--------+-----------+--------+----
xo3oo .. ..&#x  3 1 | 3  3 0 | 1  3  0 0 | 4  * * | 2 0
xo .. ox ..&#x  2 2 | 1  4 1 | 0  2  2 0 | * 12 * | 1 1
.. .. ox4oo&#x  1 4 | 0  4 4 | 0  0  4 1 | *  * 3 | 0 2
---------------+-----+--------+-----------+--------+----
xo3oo ox ..&#x  3 2 | 3  6 1 | 1  6  3 0 | 2  3 0 | 4 *
xo .. ox4oo&#x  2 4 | 1  8 4 | 0  4  8 1 | 0  4 2 | * 3

ox ox xo3oo&#x   → height = 1/sqrt(6) = 0.408248
({3} || perp {4})

o. o. o.3o.    | 3 *  2  4 0 0 | 1 2 2  8 0 | 1 4 4 4 | 2 2 2
.o .o .o3.o    | * 4 | 0  3 1 1 | 0 3 3  3 1 | 3 3 3 1 | 3 1 1
---------------+-----+----------+------------+---------+------
.. .. x. ..    | 2 0 | 3  * * *  1 0 0  4 0 | 0 2 2 4 | 1 2 2
oo oo oo3oo&#x | 1 1 | * 12 * * | 0 1 1  2 0 | 1 2 2 1 | 2 1 1
.x .. .. ..    | 0 2 | *  * 2 * | 0 3 0  0 1 | 3 3 0 0 | 3 1 0
.. .x .. ..    | 0 2 | *  * * 2 | 0 0 3  0 1 | 3 0 3 0 | 3 0 1
---------------+-----+----------+------------+---------+------
.. .. x.3o.    | 3 0 | 3  0 0 0 | 1 * *  * * | 0 0 0 4 | 0 2 2
ox .. .. ..&#x | 1 2 | 0  2 1 0 | * 6 *  * * | 1 2 0 0 | 2 1 0
.. ox .. ..&#x | 1 2 | 0  2 0 1 | * * 6  * * | 1 0 2 0 | 2 0 1
.. .. xo ..&#x | 2 1 | 1  2 0 0 | * * * 12 * | 0 1 1 1 | 1 1 1
.x .x .. ..    | 0 4 | 0  0 2 2 | * * *  * 1 | 3 0 0 0 | 3 0 0
---------------+-----+----------+------------+---------+------
ox ox .. ..&#x  1 4 | 0  4 2 2 | 0 2 2  0 1 | 3 * * * | 2 0 0
ox .. xo ..&#x  2 2 | 1  4 1 0 | 0 2 0  2 0 | * 6 * * | 1 1 0
.. ox xo ..&#x  2 2 | 1  4 0 1 | 0 0 2  2 0 | * * 6 * | 1 0 1
.. .. xo3oo&#x  3 1 | 3  3 0 0 | 1 0 0  3 0 | * * * 4 | 0 1 1
---------------+-----+----------+------------+---------+------
ox ox xo ..&#x  2 4 | 1  8 2 2 | 0 4 4  4 1 | 2 2 2 0 | 3 * *
ox .. xo3oo&#x  3 2 | 3  6 1 0 | 1 3 0  6 0 | 0 3 0 2 | * 2 *
.. ox xo3oo&#x  3 2 | 3  6 0 1 | 1 0 3  6 0 | 0 0 3 2 | * * 2

oox oox oxo&#x   → height(1,2) = sqrt(3)/2 = 0.866025
                   height(1,3) = 1/sqrt(2) = 0.707107
                   height(2,3) = 1/2

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

xoo3ooo oxx&#x   → height(1,2) = height(1,3) = sqrt(5/12) = 0.645497
                   height(2,3) = 1

o..3o.. o..    | 3 * * | 2 2 2 0 0 0 | 1 4 1 4 1 2 0 | 2 2 2 2 4 1 | 1 1 2 2
.o.3.o. .o.    | * 2 * | 0 3 0 1 1 0 | 0 3 3 0 0 3 1 | 1 3 0 0 3 3 | 1 0 1 3
..o3..o ..o    | * * 2 | 0 0 3 0 1 1 | 0 0 0 3 3 3 1 | 0 0 1 3 3 3 | 0 1 1 3
---------------+-------+-------------+---------------+-------------+--------
x.. ... ...    | 2 0 0 | 3 * * * * * | 1 2 0 2 0 0 0 | 2 1 2 1 2 0 | 1 1 2 1
oo.3oo. oo.&#x | 1 1 0 | * 6 * * * * | 0 2 1 0 0 1 0 | 1 2 0 0 2 1 | 1 0 1 2
o.o3o.o o.o&#x | 1 0 1 | * * 6 * * * | 0 0 0 2 1 1 0 | 0 0 1 2 2 1 | 0 1 1 2
... ... .x.    | 0 2 0 | * * * 1 * * | 0 0 3 0 0 0 1 | 0 3 0 0 0 3 | 1 0 0 3
.oo3.oo .oo&#x | 0 1 1 | * * * * 2 * | 0 0 0 0 0 3 1 | 0 0 0 0 3 3 | 0 0 1 3
... ... ..x    | 0 0 2 | * * * * * 1 | 0 0 0 0 3 0 1 | 0 0 0 3 0 3 | 0 1 0 3
---------------+-------+-------------+---------------+-------------+--------
x..3o.. ...    | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * | 2 0 2 0 0 0 | 1 1 2 0
xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 6 * * * * * | 1 1 0 0 1 0 | 1 0 1 1
... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * 3 * * * * | 0 2 0 0 0 1 | 1 0 0 2
x.o ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 6 * * * | 0 0 1 1 1 0 | 0 1 1 1
... ... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 3 * * | 0 0 0 2 0 1 | 0 1 0 2
ooo3ooo ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 6 * | 0 0 0 0 2 1 | 0 0 1 2
... ... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * 1 | 0 0 0 0 0 3 | 0 0 0 3
---------------+-------+-------------+---------------+-------------+--------
xo.3oo. ...&#x  3 1 0 | 3 3 0 0 0 0 | 1 3 0 0 0 0 0 | 2 * * * * * | 1 0 1 0
xo. ... ox.&#x  2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0 0 0 | * 3 * * * * | 1 0 0 1
x.o3o.o ...&#x  3 0 1 | 3 0 3 0 0 0 | 1 0 0 3 0 0 0 | * * 2 * * * | 0 1 1 0
x.o ... o.x&#x  2 0 2 | 1 0 4 0 0 1 | 0 0 0 2 2 0 0 | * * * 3 * * | 0 1 0 1
xoo ... ...&#x  2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 | * * * * 6 * | 0 0 1 1
... ... oxx&#x  1 2 2 | 0 2 2 1 2 1 | 0 0 1 0 1 2 1 | * * * * * 3 | 0 0 0 2
---------------+-------+-------------+---------------+-------------+--------
xo.3oo. ox.&#x  3 2 0 | 3 6 0 1 0 0 | 1 6 3 0 0 0 0 | 2 3 0 0 0 0 | 1 * * *
x.o3o.o o.x&#x  3 0 2 | 3 0 6 0 0 1 | 1 0 0 6 3 0 0 | 0 0 2 3 0 0 | * 1 * *
xoo3ooo ...&#x  3 1 1 | 3 3 3 0 1 0 | 1 3 0 3 0 3 0 | 1 0 1 0 3 0 | * * 2 *
xoo ... oxx&#x  2 2 2 | 1 4 4 1 2 1 | 0 2 2 2 2 4 1 | 0 1 0 1 2 2 | * * * 3
or
o..3o.. o..      | 3 * | 2  4 0 0 | 1  8 2 2 0 | 4 4 4 1 | 2 2 2
.o.3.o. .o.    & | * 4 | 0  3 1 1 | 0  3 3 3 1 | 1 3 3 3 | 1 1 3
-----------------+-----+----------+------------+---------+------
x.. ... ...      | 2 0 | 3  * * * | 1  4 0 0 0 | 4 2 2 0 | 2 2 1
oo.3oo. oo.&#x & | 1 1 | * 12 * * | 0  2 1 1 0 | 1 2 2 1 | 1 1 2
... ... .x.    & | 0 2 | *  * 2 * | 0  0 3 0 1 | 0 3 0 3 | 1 0 3
.oo3.oo .oo&#x   | 0 2 | *  * * 2 | 0  0 0 3 1 | 0 0 3 3 | 0 1 3
-----------------+-----+----------+------------+---------+------
x..3o.. ...      | 3 0 | 3  0 0 0 | 1  * * * * | 4 0 0 0 | 2 2 0
xo. ... ...&#x & | 2 1 | 1  2 0 0 | * 12 * * * | 1 1 1 0 | 1 1 1
... ... ox.&#x & | 1 2 | 0  2 1 0 | *  * 6 * * | 0 2 0 1 | 1 0 2
ooo3ooo ooo&#x   | 1 2 | 0  2 0 1 | *  * * 6 * | 0 0 2 1 | 0 1 2
... ... .xx&#x   | 0 4 | 0  0 2 2 | *  * * * 1 | 0 0 0 3 | 0 0 3
-----------------+-----+----------+------------+---------+------
xo.3oo. ...&#x &  3 1 | 3  3 0 0 | 1  3 0 0 0 | 4 * * * | 1 1 0
xo. ... ox.&#x &  2 2 | 1  4 1 0 | 0  2 2 0 0 | * 6 * * | 1 0 1
xoo ... ...&#x    2 2 | 1  4 0 1 | 0  2 0 2 0 | * * 6 * | 0 1 1
... ... oxx&#x    1 4 | 0  4 2 2 | 0  0 2 2 1 | * * * 3 | 0 0 2
-----------------+-----+----------+------------+---------+------
xo.3oo. ox.&#x &  3 2 | 3  6 1 0 | 1  6 3 0 0 | 2 3 0 0 | 2 * *
xoo3ooo ...&#x    3 2 | 3  6 0 1 | 1  6 0 3 0 | 2 0 3 0 | * 2 *
xoo ... oxx&#x    2 4 | 1  8 2 2 | 0  4 4 4 1 | 0 2 2 2 | * * 3

ooox4oooo&#x   → height(1,2) = height(1,3) = height(2,3) = 1
                 height(1,4) = height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107

o...4o...    | 1 * * *  1 1 4 0 0 0 0 | 1 4 4 4 0 0 0 0 | 4 4 4 1 0 0 0 | 4 1 1 0
.o..4.o..    | * 1 * *  1 0 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1
..o.4..o.    | * * 1 *  0 1 0 1 0 4 0 | 1 0 4 0 4 0 4 0 | 4 0 4 0 4 0 1 | 4 0 1 1
...o4...o    | * * * 4 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oo..4oo..&#x | 1 1 0 0 | 1 * * * * * *  1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0
o.o.4o.o.&#x | 1 0 1 0 | * 1 * * * * *  1 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0
o..o4o..o&#x | 1 0 0 1 | * * 4 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.oo.4.oo.&#x | 0 1 1 0 | * * * 1 * * *  1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1
.o.o4.o.o&#x | 0 1 0 1 | * * * * 4 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
..oo4..oo&#x | 0 0 1 1 | * * * * * 4 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
...x ....    | 0 0 0 2 | * * * * * * 4 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooo.4ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | 1 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
oo.o4oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 | * 4 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
o.oo4o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 | * * 4 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 1 | * * * 4 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.ooo4.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * 4 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * 4 * * | 0 1 0 0 1 1 0 | 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * 4 * | 0 0 1 0 1 0 1 | 1 0 1 1
...x4...o    | 0 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 1 | 0 0 0 1 0 1 1 | 0 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oooo4oooo&#x  1 1 1 1 | 1 1 1 1 1 1 0 | 1 1 1 0 1 0 0 0 | 4 * * * * * * | 2 0 0 0
oo.x ....&#x  1 1 0 2 | 1 0 2 0 2 0 1 | 0 2 0 1 0 1 0 0 | * 4 * * * * * | 1 1 0 0
o.ox ....&#x  1 0 1 2 | 0 1 2 0 0 2 1 | 0 0 2 1 0 0 1 0 | * * 4 * * * * | 1 0 1 0
o..x4o..o&#x  1 0 0 4 | 0 0 4 0 0 0 4 | 0 0 0 4 0 0 0 1 | * * * 1 * * * | 0 1 1 0
.oox ....&#x  0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 2 1 1 0 | * * * * 4 * * | 1 0 0 1
.o.x4.o.o&#x  0 1 0 4 | 0 0 0 0 4 0 4 | 0 0 0 0 0 4 0 1 | * * * * * 1 * | 0 1 0 1
..ox4..oo&#x  0 0 1 4 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 4 1 | * * * * * * 1 | 0 0 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooox ....&#x  1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 0 | 2 1 1 0 1 0 0 | 4 * * *
oo.x4oo.o&#x  1 1 0 4 | 1 0 4 0 4 0 4 | 0 4 0 4 0 4 0 1 | 0 4 0 1 0 1 0 | * 1 * *
o.ox4o.oo&#x  1 0 1 4 | 0 1 4 0 0 4 4 | 0 0 4 4 0 0 4 1 | 0 0 4 1 0 0 1 | * * 1 *
.oox4.ooo&#x  0 1 1 4 | 0 0 0 1 4 4 4 | 0 0 0 0 4 4 4 1 | 0 0 0 0 4 1 1 | * * * 1

ooox ooox&#x   → height(1,2) = height(1,3) = height(2,3) = 1
                 height(1,4) = height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107

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

ooox oxxo&#x   → height(1,2) = height(1,3) = height(1,4) = sqrt(3)/2 = 0.866025
                 height(2,3) = 1
                 height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107

o... o...    | 1 * * *  2 2 2 0 0 0 0 0 0 | 1 2 4 1 4 1 0 0 0 0 0 0 | 1 4 2 2 2 2 0 0 0 0 | 2 2 1 1 0
.o.. .o..    | * 2 * * | 1 0 0 1 1 2 0 0 0 | 1 1 2 0 0 0 1 2 1 2 0 0 | 1 2 1 2 0 0 1 2 1 0 | 1 2 1 0 1
..o. ..o.    | * * 2 * | 0 1 0 0 1 0 1 2 0 | 0 1 0 1 2 0 1 2 0 0 1 2 | 1 2 0 0 1 2 1 2 0 1 | 1 2 0 1 1
...o ...o    | * * * 2  0 0 1 0 0 2 0 2 1 | 0 0 2 0 2 1 0 2 2 1 2 1 | 0 2 2 1 2 1 2 1 1 1 | 2 1 1 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
oo.. oo..&#x | 1 1 0 0 | 2 * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 1 2 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 | 1 2 0 0 1 2 0 0 0 0 | 1 2 0 1 0
o..o o..o&#x | 1 0 0 1 | * * 2 * * * * * *  0 0 2 0 2 1 0 0 0 0 0 0 | 0 2 2 1 2 1 0 0 0 0 | 2 1 1 1 0
.... .x..    | 0 2 0 0 | * * * 1 * * * * * | 1 0 0 0 0 0 1 0 0 2 0 0 | 1 0 0 2 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 1 2 0 0 0 0 | 1 2 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 1 1 1 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1
.... ..x.    | 0 0 2 0 | * * * * * * 1 * * | 0 0 0 1 0 0 1 0 0 0 0 2 | 1 0 0 0 0 2 0 2 0 1 | 0 2 0 1 1
..oo ..oo&#x | 0 0 1 1 | * * * * * * * 4 * | 0 0 0 0 1 0 0 1 0 0 1 1 | 0 1 0 0 1 1 1 1 0 1 | 1 1 0 1 1
...x ....    | 0 0 0 2 | * * * * * * * * 1  0 0 0 0 0 1 0 0 2 0 2 0 | 0 0 2 0 2 0 2 0 1 1 | 2 0 1 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
.... ox..&#x | 1 2 0 0 | 2 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 | 0 2 1 0 0
ooo. ooo.&#x | 1 1 1 0 | 1 1 0 0 1 0 0 0 0 | * 2 * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 1 0 1 0 0 1 0 0 0 | * * 4 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0
.... o.x.&#x | 1 0 2 0 | 0 2 0 0 0 0 1 0 0 | * * * 1 * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 | 0 2 0 1 0
o.oo o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 0 1 0 | * * * * 4 * * * * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 0 0 1 | * * * * * 1 * * * * * * | 0 0 2 0 2 0 0 0 0 0 | 2 0 1 1 0
.... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * 1 * * * * * | 1 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 1 1 0 1 0 | * * * * * * * 4 * * * * | 0 1 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 2 0 0 1 | * * * * * * * * 2 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .x.o&#x | 0 2 0 1 | 0 0 0 1 0 2 0 0 0 | * * * * * * * * * 2 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * 2 * | 0 0 0 0 1 0 1 0 0 1 | 1 0 0 1 1
.... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
.... oxx.&#x  1 2 2 0 | 2 2 0 1 2 0 1 0 0 | 1 2 0 1 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * | 0 2 0 0 0
oooo oooo&#x  1 1 1 1 | 1 1 1 0 1 1 0 1 0 | 0 1 1 0 1 0 0 1 0 0 0 0 | * 4 * * * * * * * * | 1 1 0 0 0
oo.x ....&#x  1 1 0 2 | 1 0 2 0 0 2 0 0 1 | 0 0 2 0 0 1 0 0 1 0 0 0 | * * 2 * * * * * * * | 1 0 1 0 0
.... ox.o&#x  1 2 0 1 | 2 0 1 1 0 2 0 0 0 | 1 0 2 0 0 0 0 0 0 1 0 0 | * * * 2 * * * * * * | 0 1 1 0 0
o.ox ....&#x  1 0 1 2 | 0 1 2 0 0 0 0 2 1 | 0 0 0 0 2 1 0 0 0 0 1 0 | * * * * 2 * * * * * | 1 0 0 1 0
.... o.xo&#x  1 0 2 1 | 0 2 1 0 0 0 1 2 0 | 0 0 0 1 2 0 0 0 0 0 0 1 | * * * * * 2 * * * * | 0 1 0 1 0
.oox ....&#x  0 1 1 2 | 0 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 0 2 1 0 1 0 | * * * * * * 2 * * * | 1 0 0 0 1
.... .xxo&#x  0 2 2 1 | 0 0 0 1 2 2 1 2 0 | 0 0 0 0 0 0 1 2 0 1 0 1 | * * * * * * * 2 * * | 0 1 0 0 1
.o.x .x.o&#x  0 2 0 2 | 0 0 0 1 0 4 0 0 1 | 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * 1 * | 0 0 1 0 1
..ox ..xo&#x  0 0 2 2 | 0 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
ooox ....&#x  1 1 1 2 | 1 1 2 0 1 2 0 2 1 | 0 1 2 0 2 1 0 2 1 0 1 0 | 0 2 1 0 1 0 1 0 0 0 | 2 * * * *
.... oxxo&#x  1 2 2 1 | 2 2 1 1 2 2 1 2 0 | 1 2 2 1 2 0 1 2 0 1 0 1 | 1 2 0 1 0 1 0 1 0 0 | * 2 * * *
oo.x ox.o&#x  1 2 0 2 | 2 0 2 1 0 4 0 0 1 | 1 0 4 0 0 1 0 0 2 2 0 0 | 0 0 2 2 0 0 0 0 1 0 | * * 1 * *
o.ox o.xo&#x  1 0 2 2 | 0 2 2 0 0 0 1 4 1 | 0 0 0 1 4 1 0 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 1 | * * * 1 *
.oox .xxo&#x  0 2 2 2 | 0 0 0 1 2 4 1 4 1 | 0 0 0 0 0 0 1 4 2 2 2 2 | 0 0 0 0 0 0 2 2 1 1 | * * * * 1

oooxx&#x   → height(1,2) = height(1,3) = height(2,3) = height(4,5) = 1
             height(1,4) = height(1,5) = height(2,4) = height(2,5) = height(3,4) = height(3,5) = sqrt(3)/2 = 0.866025

o....    | 1 * * * *  1 1 2 2 0 0 0 0 0 0 0 0 | 1 2 2 2 2 1 2 1 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 1 2 1 1 0 0 0 0 0 | 1 2 1 1 1 0
.o...    | * 1 * * *  1 0 0 0 1 2 2 0 0 0 0 0 | 1 2 2 0 0 0 0 0 2 2 1 2 1 0 0 0 0 | 2 2 1 2 1 0 0 0 0 1 2 1 1 0 | 1 2 1 1 0 1
..o..    | * * 1 * *  0 1 0 0 1 0 0 2 2 0 0 0 | 1 0 0 2 2 0 0 0 2 2 0 0 0 1 2 1 0 | 2 2 0 0 0 1 2 1 0 1 2 1 0 1 | 1 2 1 0 1 1
...o.    | * * * 2 * | 0 0 1 0 0 1 0 1 0 1 1 0 | 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 | 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 1 0 0 1 0 1 0 1 1 | 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 | 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
oo...&#x | 1 1 0 0 0 | 1 * * * * * * * * * * *  1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0
o.o..&#x | 1 0 1 0 0 | * 1 * * * * * * * * * *  1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 1 2 1 0 0 0 0 0 0 | 1 2 1 0 1 0
o..o.&#x | 1 0 0 1 0 | * * 2 * * * * * * * * * | 0 1 0 1 0 1 1 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 1 0 1 0 1 1 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
.oo..&#x | 0 1 1 0 0 | * * * * 1 * * * * * * *  1 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 1 2 1 0 0 | 1 2 1 0 0 1
.o.o.&#x | 0 1 0 1 0 | * * * * * 2 * * * * * * | 0 1 0 0 0 0 0 0 1 0 1 1 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 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..oo.&#x | 0 0 1 1 0 | * * * * * * * 2 * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 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 1 0 0 0 0 1 0 0 0 0 1 1 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 1 0 0 0 0 1 0 0 1 0 0 1 | 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 1 0 0 0 0 1 0 0 1 0 1 | 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 1 0 0 0 0 1 0 0 1 1 | 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
ooo..&#x | 1 1 1 0 0 | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
oo.o.&#x | 1 1 0 1 0 | 1 0 1 0 0 1 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * | 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 | 1 0 0 1 0 0 1 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.oo.&#x | 1 0 1 1 0 | 0 1 1 0 0 0 0 1 0 0 0 0 | * * * 2 * * * * * * * * * * * * * | 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 1 0 1 0 0 0 0 1 0 0 0 | * * * * 2 * * * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 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 0 1 0 0 | * * * * * 1 * * * * * * * * * * * | 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 1 1 0 0 0 0 0 0 1 0 | * * * * * * 2 * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
o...x&#x | 1 0 0 0 2 | 0 0 0 2 0 0 0 0 0 0 0 1 | * * * * * * * 1 * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.ooo.&#x | 0 1 1 1 0 | 0 0 0 0 1 1 0 1 0 0 0 0 | * * * * * * * * 2 * * * * * * * * | 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 1 0 1 0 1 0 0 0 | * * * * * * * * * 2 * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.o.x.&#x | 0 1 0 2 0 | 0 0 0 0 0 2 0 0 0 1 0 0 | * * * * * * * * * * 1 * * * * * * | 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 1 1 0 0 0 1 0 | * * * * * * * * * * * 2 * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.o..x&#x | 0 1 0 0 2 | 0 0 0 0 0 0 2 0 0 0 0 1 | * * * * * * * * * * * * 1 * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..ox.&#x | 0 0 1 2 0 | 0 0 0 0 0 0 0 2 0 1 0 0 | * * * * * * * * * * * * * 1 * * * | 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 1 1 0 1 0 | * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..o.x&#x | 0 0 1 0 2 | 0 0 0 0 0 0 0 0 2 0 0 1 | * * * * * * * * * * * * * * * 1 * | 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 1 2 1 | * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
oooo.&#x  1 1 1 1 0 | 1 1 1 0 1 1 0 1 0 0 0 0 | 1 1 0 1 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 | 1 1 0 1 1 0 1 0 1 0 0 0 | 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 0 1 1 0 0 0
oo.x.&#x  1 1 0 2 0 | 1 0 2 0 0 2 0 0 0 1 0 0 | 0 2 0 0 0 1 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 | 1 0 1 1 0 1 1 0 0 0 1 0 | 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | * * * 2 * * * * * * * * * * | 0 1 0 1 0 0
oo..x&#x  1 1 0 0 2 | 1 0 0 2 0 0 2 0 0 0 0 1 | 0 0 2 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | * * * * 1 * * * * * * * * * | 0 0 1 1 0 0
o.ox.&#x  1 0 1 2 0 | 0 1 2 0 0 0 0 2 0 1 0 0 | 0 0 0 2 0 1 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 1 1 1 0 0 0 1 1 0 1 0 | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 | * * * * * * 2 * * * * * * * | 0 1 0 0 1 0
o.o.x&#x  1 0 1 0 2 | 0 1 0 2 0 0 0 0 2 0 0 1 | 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 1 0 | * * * * * * * 1 * * * * * * | 0 0 1 0 1 0
o..xx&#x  1 0 0 2 2 | 0 0 2 2 0 0 0 0 0 1 2 1 | 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 | * * * * * * * * 1 * * * * * | 0 0 0 1 1 0
.oox.&#x  0 1 1 2 0 | 0 0 0 0 1 2 0 2 0 1 0 0 | 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 1 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
.oo.x&#x  0 1 1 0 2 | 0 0 0 0 1 0 2 0 2 0 0 1 | 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 1 0 | * * * * * * * * * * * 1 * * | 0 0 1 0 0 1
.o.xx&#x  0 1 0 2 2 | 0 0 0 0 0 2 2 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 | * * * * * * * * * * * * 1 * | 0 0 0 1 0 1
..oxx&#x  0 0 1 2 2 | 0 0 0 0 0 0 0 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 | * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
ooox.&#x  1 1 1 2 0 | 1 1 2 0 1 2 0 2 0 1 0 0 | 1 2 0 2 0 1 0 0 2 0 1 0 0 1 0 0 0 | 2 0 1 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * *
ooooo&#x  1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 0 1 0 | 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 | 1 1 0 1 0 0 1 0 0 0 1 0 0 0 | * 2 * * * *
ooo.x&#x  1 1 1 0 2 | 1 1 0 2 1 0 2 0 2 0 0 1 | 1 0 2 0 2 0 0 1 0 2 0 0 1 0 0 1 0 | 0 2 0 0 1 0 0 1 0 0 0 1 0 0 | * * 1 * * *
oo.xx&#x  1 1 0 2 2 | 1 0 2 2 0 2 2 0 0 1 2 1 | 0 2 2 0 0 1 2 1 0 0 1 2 1 0 0 0 1 | 0 0 1 2 1 0 0 0 1 0 0 0 1 0 | * * * 1 * *
o.oxx&#x  1 0 1 2 2 | 0 1 2 2 0 0 0 2 2 1 2 1 | 0 0 0 2 2 1 2 1 0 0 0 0 0 1 2 1 1 | 0 0 0 0 0 1 2 1 1 0 0 0 0 1 | * * * * 1 *
.ooxx&#x  0 1 1 2 2 | 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 0 0 0 0 0 0 0 0 1 2 1 1 1 | * * * * * 1

pt || squasc   → height = 1/sqrt(2) = 0.707107

o...4o...    | 1 * * *  1 1 4 0 0 0 0 | 1 4 4 4 0 0 0 0 | 4 4 4 1 0 0 0 | 4 1 1 0
.o..4.o..    | * 1 * *  1 0 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1
..o.4..o.    | * * 1 *  0 1 0 1 0 4 0 | 1 0 4 0 4 0 4 0 | 4 0 4 0 4 0 1 | 4 0 1 1
...o4...o    | * * * 4 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oo..4oo..&#x | 1 1 0 0 | 1 * * * * * *  1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0
o.o.4o.o.&#x | 1 0 1 0 | * 1 * * * * *  1 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0
o..o4o..o&#x | 1 0 0 1 | * * 4 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.oo.4.oo.&#x | 0 1 1 0 | * * * 1 * * *  1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1
.o.o4.o.o&#x | 0 1 0 1 | * * * * 4 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
..oo4..oo&#x | 0 0 1 1 | * * * * * 4 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
...x ....    | 0 0 0 2 | * * * * * * 4 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooo.4ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | 1 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
oo.o4oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 | * 4 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
o.oo4o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 | * * 4 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 1 | * * * 4 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.ooo4.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * 4 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * 4 * * | 0 1 0 0 1 1 0 | 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * 4 * | 0 0 1 0 1 0 1 | 1 0 1 1
...x4...o    | 0 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 1 | 0 0 0 1 0 1 1 | 0 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oooo4oooo&#x  1 1 1 1 | 1 1 1 1 1 1 0 | 1 1 1 0 1 0 0 0 | 4 * * * * * * | 2 0 0 0
oo.x ....&#x  1 1 0 2 | 1 0 2 0 2 0 1 | 0 2 0 1 0 1 0 0 | * 4 * * * * * | 1 1 0 0
o.ox ....&#x  1 0 1 2 | 0 1 2 0 0 2 1 | 0 0 2 1 0 0 1 0 | * * 4 * * * * | 1 0 1 0
o..x4o..o&#x  1 0 0 4 | 0 0 4 0 0 0 4 | 0 0 0 4 0 0 0 1 | * * * 1 * * * | 0 1 1 0
.oox ....&#x  0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 2 1 1 0 | * * * * 4 * * | 1 0 0 1
.o.x4.o.o&#x  0 1 0 4 | 0 0 0 0 4 0 4 | 0 0 0 0 0 4 0 1 | * * * * * 1 * | 0 1 0 1
..ox4..oo&#x  0 0 1 4 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 4 1 | * * * * * * 1 | 0 0 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooox ....&#x  1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 0 | 2 1 1 0 1 0 0 | 4 * * *
oo.x4oo.o&#x  1 1 0 4 | 1 0 4 0 4 0 4 | 0 4 0 4 0 4 0 1 | 0 4 0 1 0 1 0 | * 1 * *
o.ox4o.oo&#x  1 0 1 4 | 0 1 4 0 0 4 4 | 0 0 4 4 0 0 4 1 | 0 0 4 1 0 0 1 | * * 1 *
.oox4.ooo&#x  0 1 1 4 | 0 0 0 1 4 4 4 | 0 0 0 0 4 4 4 1 | 0 0 0 0 4 1 1 | * * * 1

line || perp squippy  → height = 1/2

o...4o...    & | 2 * *  1 1 4 0 0 | 1 4 4 4 0 0 | 4 4 4 1 0 | 4 1 1
..o.4..o.      | * 1 *  0 2 0 4 0 | 1 0 8 0 4 0 | 4 0 8 0 1 | 4 0 2
...o4...o      | * * 4 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2
---------------+-------+-----------+-------------+-----------+------
oo..4oo..&#x   | 2 0 0 | 1 * * * *  1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0
o.o.4o.o.&#x & | 1 1 0 | * 2 * * *  1 0 4 0 0 0 | 4 0 4 0 0 | 4 0 1
o..o4o..o&#x & | 1 0 1 | * * 8 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 1 2 1
..oo4..oo&#x   | 0 1 1 | * * * 4 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2
...x ....      | 0 0 2 | * * * * 4 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2
---------------+-------+-----------+-------------+-----------+------
ooo.4ooo.&#x   | 2 1 0 | 1 2 0 0 0 | 1 * * * * * | 4 0 0 0 0 | 4 0 0
oo.o4oo.o&#x   | 2 0 1 | 1 0 2 0 0 | * 4 * * * * | 1 2 0 0 0 | 2 1 0
o.oo4o.oo&#x & | 1 1 1 | 0 1 1 1 0 | * * 8 * * * | 1 0 2 0 0 | 2 0 1
o..x ....&#x & | 1 0 2 | 0 0 2 0 1 | * * * 8 * * | 0 1 1 1 0 | 1 1 1
..ox ....&#x   | 0 1 2 | 0 0 0 2 1 | * * * * 4 * | 0 0 2 0 1 | 1 0 2
...x4...o      | 0 0 4 | 0 0 0 0 4 | * * * * * 1 | 0 0 0 2 1 | 0 1 2
---------------+-------+-----------+-------------+-----------+------
oooo4oooo&#x    2 1 1 | 1 2 2 1 0 | 1 1 2 0 0 0 | 4 * * * * | 2 0 0
oo.x ....&#x    2 0 2 | 1 0 4 0 1 | 0 2 0 2 0 0 | * 4 * * * | 1 1 0
o.ox ....&#x &  1 1 2 | 0 1 2 2 1 | 0 0 2 1 1 0 | * * 8 * * | 1 0 1
o..x4o..o&#x &  1 0 4 | 0 0 4 0 4 | 0 0 0 4 0 1 | * * * 2 * | 0 1 1
..ox4..oo&#x    0 1 4 | 0 0 0 4 4 | 0 0 0 0 4 1 | * * * * 1 | 0 0 2
---------------+-------+-----------+-------------+-----------+------
ooox ....&#x    2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 0 | 2 1 2 0 0 | 4 * *
oo.x4oo.o&#x    2 0 4 | 1 0 8 0 4 | 0 4 0 8 0 1 | 0 4 0 2 0 | * 1 *
o.ox4o.oo&#x &  1 1 4 | 0 1 4 4 4 | 0 0 4 4 4 1 | 0 0 4 1 1 | * * 2

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