squascop

Acronym	squascop
Name	squasc prism, square-scalene prism, square atop cube
`\|,>,O` device	line prism pyramid pyramid prism = `\|\|>>\|`
Circumradius	sqrt(3)/2 = 0.866025
Lace city in approx. ASCII-art	o4o x o4o x x4o x
Face vector	12, 32, 39, 25, 8
Confer	uniform relative: hexip related segmentotera: opepy general polytopal classes: segmentotera lace simplices

Incidence matrix according to Dynkin symbol

xo ox4oo xx&#x   → height = 1/2
({4} || partially ortho cube)

o. o. o. o.    | 4 * | 1 1  4 0 0 | 1 4  4 4 0 0 | 4 4 1 4 0 | 1 4 1
.o .o .o .o    | * 8 | 0 0  2 2 1 | 0 1  4 2 1 2 | 2 1 2 4 1 | 1 2 2
---------------+-----+------------+--------------+-----------+------
x. .. .. ..    | 2 0 | 2 *  * * * | 1 4  0 0 0 0 | 4 4 0 0 0 | 1 4 0
.. .. .. x.    | 2 0 | * 2  * * * | 1 0  0 4 0 0 | 0 4 0 4 0 | 0 4 1
oo oo oo oo&#x | 1 1 | * * 16 * * | 0 1  2 1 0 0 | 2 1 1 2 0 | 1 2 1
.. .x .. ..    | 0 2 | * *  * 8 * | 0 0  2 0 1 1 | 1 0 2 2 1 | 1 1 2
.. .. .. .x    | 0 2 | * *  * * 4 | 0 0  0 2 0 2 | 0 1 0 4 1 | 0 2 2
---------------+-----+------------+--------------+-----------+------
x. .. .. x.    | 4 0 | 2 2  0 0 0 | 1 *  * * * * | 0 4 0 0 0 | 0 4 0
xo .. .. ..&#x | 2 1 | 1 0  2 0 0 | * 8  * * * * | 2 1 0 0 0 | 1 2 0
.. ox .. ..&#x | 1 2 | 0 0  2 1 0 | * * 16 * * * | 1 0 1 1 0 | 1 1 1
.. .. .. xx&#x | 2 2 | 0 1  2 0 1 | * *  * 8 * * | 0 1 0 2 0 | 0 2 1
.. .x4.o ..    | 0 4 | 0 0  0 4 0 | * *  * * 2 * | 0 0 2 0 1 | 1 0 2
.. .x .. .x    | 0 4 | 0 0  0 2 2 | * *  * * * 4 | 0 0 0 2 1 | 0 1 2
---------------+-----+------------+--------------+-----------+------
xo ox .. ..&#x ♦ 2 2 | 1 0  4 1 0 | 0 2  2 0 0 0 | 8 * * * * | 1 1 0
xo .. .. xx&#x ♦ 4 2 | 2 2  4 0 1 | 1 2  0 2 0 0 | * 4 * * * | 0 2 0
.. ox4oo ..&#x ♦ 1 4 | 0 0  4 4 0 | 0 0  4 0 1 0 | * * 4 * * | 1 0 1
.. ox .. xx&#x ♦ 2 4 | 0 1  4 2 2 | 0 0  2 2 0 1 | * * * 8 * | 0 1 1
.. .x4.o .x    ♦ 0 8 | 0 0  0 8 4 | 0 0  0 0 2 4 | * * * * 1 | 0 0 2
---------------+-----+------------+--------------+-----------+------
xo ox4oo ..&#x ♦ 2 4 | 1 0  8 4 0 | 0 4  8 0 1 0 | 4 0 2 0 0 | 2 * *
xo ox .. xx&#x ♦ 4 4 | 2 2  8 2 2 | 1 4  4 4 0 1 | 2 2 0 2 0 | * 4 *
.. ox4oo xx&#x ♦ 2 8 | 0 1  8 8 4 | 0 0  8 4 2 4 | 0 0 2 4 1 | * * 2

xo ox ox xx&#x   → height = 1/2
({4} || partially ortho cube)

o. o. o. o.    | 4 * | 1 1  4 0 0 0 | 1 4 2 2 4 0 0 0 | 2 2 4 1 2 2 0 | 1 2 2 1
.o .o .o .o    | * 8 | 0 0  2 1 1 1 | 0 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2
---------------+-----+--------------+-----------------+---------------+--------
x. .. .. ..    | 2 0 | 2 *  * * * * | 1 4 0 0 0 0 0 0 | 2 2 4 0 0 0 0 | 1 2 2 0
.. .. .. x.    | 2 0 | * 2  * * * * | 1 0 0 0 4 0 0 0 | 0 0 4 0 2 2 0 | 0 2 2 1
oo oo oo oo&#x | 1 1 | * * 16 * * * | 0 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1
.. .x .. ..    | 0 2 | * *  * 4 * * | 0 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2
.. .. .x ..    | 0 2 | * *  * * 4 * | 0 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2
.. .. .. .x    | 0 2 | * *  * * * 4 | 0 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2
---------------+-----+--------------+-----------------+---------------+--------
x. .. .. x.    | 4 0 | 2 2  0 0 0 0 | 1 * * * * * * * | 0 0 4 0 0 0 0 | 0 2 2 0
xo .. .. ..&#x | 2 1 | 1 0  2 0 0 0 | * 8 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0
.. ox .. ..&#x | 1 2 | 0 0  2 1 0 0 | * * 8 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1
.. .. ox ..&#x | 1 2 | 0 0  2 0 1 0 | * * * 8 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1
.. .. .. xx&#x | 2 2 | 0 1  2 0 0 1 | * * * * 8 * * * | 0 0 1 0 1 1 0 | 0 1 1 1
.. .x .x ..    | 0 4 | 0 0  0 2 2 0 | * * * * * 2 * * | 0 0 0 2 0 0 1 | 1 0 0 2
.. .x .. .x    | 0 4 | 0 0  0 2 0 2 | * * * * * * 2 * | 0 0 0 0 2 0 1 | 0 1 0 2
.. .. .x .x    | 0 4 | 0 0  0 0 2 2 | * * * * * * * 2 | 0 0 0 0 0 2 1 | 0 0 1 2
---------------+-----+--------------+-----------------+---------------+--------
xo ox .. ..&#x ♦ 2 2 | 1 0  4 1 0 0 | 0 2 2 0 0 0 0 0 | 4 * * * * * * | 1 1 0 0
xo .. ox ..&#x ♦ 2 2 | 1 0  4 0 1 0 | 0 2 0 2 0 0 0 0 | * 4 * * * * * | 1 0 1 0
xo .. .. xx&#x ♦ 4 2 | 2 2  4 0 0 1 | 1 2 0 0 2 0 0 0 | * * 4 * * * * | 0 1 1 0
.. ox ox ..&#x ♦ 1 4 | 0 0  4 2 2 0 | 0 0 2 2 0 1 0 0 | * * * 4 * * * | 1 0 0 1
.. ox .. xx&#x ♦ 2 4 | 0 1  4 2 0 2 | 0 0 2 0 2 0 1 0 | * * * * 4 * * | 0 1 0 1
.. .. ox xx&#x ♦ 2 4 | 0 1  4 0 2 2 | 0 0 0 2 2 0 0 1 | * * * * * 4 * | 0 0 1 1
.. .x .x .x    ♦ 0 8 | 0 0  0 4 4 4 | 0 0 0 0 0 2 2 2 | * * * * * * 1 | 0 0 0 2
---------------+-----+--------------+-----------------+---------------+--------
xo ox ox ..&#x ♦ 2 4 | 1 0  8 2 2 0 | 0 4 4 4 0 1 0 0 | 2 2 0 2 0 0 0 | 2 * * *
xo ox .. xx&#x ♦ 4 4 | 2 2  8 2 0 2 | 1 4 4 0 4 0 1 0 | 2 0 2 0 2 0 0 | * 2 * *
xo .. ox xx&#x ♦ 4 4 | 2 2  8 0 2 2 | 1 4 0 4 4 0 0 1 | 0 2 2 0 0 2 0 | * * 2 *
.. ox ox xx&#x ♦ 2 8 | 0 1  8 4 4 4 | 0 0 4 4 4 2 2 2 | 0 0 0 2 2 2 1 | * * * 2

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

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

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

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

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

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

xo ox4oo&#x || xo ox4oo&#x   → height = 1
(squasc || squasc)

o. o.4o.      .. .. ..    | 2 * * * | 1 4 1 0 0 0 0 0 | 4 4 1 4 0 0 0 0 0 | 4 1 4 4 0 0 0 | 1 4 1 0
.o .o4.o      .. .. ..    | * 4 * * | 0 2 0 2 1 0 0 0 | 1 4 0 2 1 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.. .. ..      o. o.4o.    | * * 2 * | 0 0 1 0 0 1 4 0 | 0 0 1 4 0 0 4 4 0 | 0 0 4 4 0 4 1 | 0 4 1 1
.. .. ..      .o .o4.o    | * * * 4 | 0 0 0 0 1 0 2 2 | 0 0 0 2 0 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
--------------------------+---------+-----------------+-------------------+---------------+--------
x. .. ..      .. .. ..    | 2 0 0 0 | 1 * * * * * * * | 4 0 1 0 0 0 0 0 0 | 4 0 4 0 0 0 0 | 1 4 0 0
oo oo4oo&#x   .. .. ..    | 1 1 0 0 | * 8 * * * * * * | 1 2 0 1 0 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
o. o.4o.    || o. o.4o.    | 1 0 1 0 | * * 2 * * * * * | 0 0 1 4 0 0 0 0 0 | 0 0 4 4 0 0 0 | 0 4 1 0
.. .x ..      .. .. ..    | 0 2 0 0 | * * * 4 * * * * | 0 2 0 0 1 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
.o .o4.o    || .o .o4.o    | 0 1 0 1 | * * * * 4 * * * | 0 0 0 2 0 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .. ..      x. .. ..    | 0 0 2 0 | * * * * * 1 * * | 0 0 1 0 0 0 4 0 0 | 0 0 4 0 0 4 0 | 0 4 0 1
.. .. ..      oo oo4oo&#x | 0 0 1 1 | * * * * * * 8 * | 0 0 0 1 0 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. ..      .. .x ..    | 0 0 0 2 | * * * * * * * 4 | 0 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
--------------------------+---------+-----------------+-------------------+---------------+--------
xo .. ..&#x   .. .. ..    | 2 1 0 0 | 1 2 0 0 0 0 0 0 | 4 * * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. ox ..&#x   .. .. ..    | 1 2 0 0 | 0 2 0 1 0 0 0 0 | * 8 * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
x. .. ..    || x. .. ..    | 2 0 2 0 | 1 0 2 0 0 1 0 0 | * * 1 * * * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
oo oo4oo&#x || oo oo4oo&#x | 1 1 1 1 | 0 1 1 0 1 0 1 0 | * * * 8 * * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .x4.o      .. .. ..    | 0 4 0 0 | 0 0 0 4 0 0 0 0 | * * * * 1 * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
.. .x ..    || .. .x ..    | 0 2 0 2 | 0 0 0 1 2 0 0 1 | * * * * * 4 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. .. ..      xo .. ..&#x | 0 0 2 1 | 0 0 0 0 0 1 2 0 | * * * * * * 4 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .. ..      .. ox ..&#x | 0 0 1 2 | 0 0 0 0 0 0 2 1 | * * * * * * * 8 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. ..      .. .x4.o    | 0 0 0 4 | 0 0 0 0 0 0 0 4 | * * * * * * * * 1 | 0 0 0 0 1 0 2 | 0 0 2 1
--------------------------+---------+-----------------+-------------------+---------------+--------
xo ox ..&#x   .. .. ..    ♦ 2 2 0 0 | 1 4 0 1 0 0 0 0 | 2 2 0 0 0 0 0 0 0 | 4 * * * * * * | 1 1 0 0
.. ox4oo&#x   .. .. ..    ♦ 1 4 0 0 | 0 4 0 4 0 0 0 0 | 0 4 0 0 1 0 0 0 0 | * 2 * * * * * | 1 0 1 0
xo .. ..&#x || xo .. ..&#x ♦ 2 1 2 1 | 1 2 2 0 1 1 2 0 | 1 0 1 2 0 0 1 0 0 | * * 4 * * * * | 0 2 0 0
.. ox ..&#x || .. ox ..&#x ♦ 1 2 1 2 | 0 2 1 1 2 0 2 1 | 0 1 0 2 0 1 0 1 0 | * * * 8 * * * | 0 1 1 0
.. .x4.o    || .. .x4.o    ♦ 0 4 0 4 | 0 0 0 4 4 0 0 4 | 0 0 0 0 1 4 0 0 1 | * * * * 1 * * | 0 0 2 0
.. .. ..      xo ox ..&#x ♦ 0 0 2 2 | 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 2 2 0 | * * * * * 4 * | 0 1 0 1
.. .. ..      .. ox4oo&#x ♦ 0 0 1 4 | 0 0 0 0 0 0 4 4 | 0 0 0 0 0 0 0 4 1 | * * * * * * 2 | 0 0 1 1
--------------------------+---------+-----------------+-------------------+---------------+--------
xo ox4oo&#x   .. .. ..    ♦ 2 4 0 0 | 1 8 0 4 0 0 0 0 | 4 8 0 0 1 0 0 0 0 | 4 2 0 0 0 0 0 | 1 * * *
xo ox ..&#x || xo ox ..&#x ♦ 2 2 2 2 | 1 4 2 1 2 1 4 1 | 2 2 1 4 0 1 2 2 0 | 1 0 2 2 0 1 0 | * 4 * *
.. ox4oo&#x || .. ox4oo&#x ♦ 1 4 1 4 | 0 4 1 4 4 0 4 4 | 0 4 0 4 1 4 0 4 1 | 0 1 0 4 1 0 1 | * * 2 *
.. .. ..      xo ox4oo&#x ♦ 0 0 2 4 | 0 0 0 0 0 1 8 4 | 0 0 0 0 0 0 4 8 1 | 0 0 0 0 0 4 2 | * * * 1

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