Acronym tisdippy
Name triangle-square-duoprism pyramid,
vertex pyramid of nit
|,>,O device line pyramid prism prism pyramid = |>||>
Circumradius sqrt(3/2) = 1.224745
Lace hyper city
in approx. ASCII-art 
          o3o          
                       
    x3o             x3o
x3o             x3o    

i.e. a shallow square pyramid with triangles for base vertices and a point for tip
Face vector 13, 36, 43, 26, 8
Confer
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

ox3oo ox4oo&#x   → height = 1/sqrt(6) = 0.408248
(pt || tisdip)

o.3o. o.4o.    | 1  * ♦ 12  0  0 | 12 12 0  0 0 | 4 12 3 0 0 | 4 3 0
.o3.o .o4.o    | * 12 |  1  2  2 |  2  2 1  4 1 | 1  4 1 2 2 | 2 2 1
---------------+------+----------+--------------+------------+------
oo3oo oo4oo&#x | 1  1 | 12  *  * |  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
.x .. .. ..    | 0  2 |  * 12  * |  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .x ..    | 0  2 |  *  * 12 |  0  1 0  2 1 | 0  2 1 1 2 | 1 2 1
---------------+------+----------+--------------+------------+------
ox .. .. ..&#x | 1  2 |  2  1  0 | 12  * *  * * | 1  2 0 0 0 | 2 1 0
.. .. ox ..&#x | 1  2 |  2  0  1 |  * 12 *  * * | 0  2 1 0 0 | 1 2 0
.x3.o .. ..    | 0  3 |  0  3  0 |  *  * 4  * * | 1  0 0 2 0 | 2 0 1
.x .. .x ..    | 0  4 |  0  2  2 |  *  * * 12 * | 0  1 0 1 1 | 1 1 1
.. .. .x4.o    | 0  4 |  0  0  4 |  *  * *  * 3 | 0  0 1 0 2 | 0 2 1
---------------+------+----------+--------------+------------+------
ox3oo .. ..&#x ♦ 1  3 |  3  3  0 |  3  0 1  0 0 | 4  * * * * | 2 0 0
ox .. ox ..&#x ♦ 1  4 |  4  2  2 |  2  2 0  1 0 | * 12 * * * | 1 1 0
.. .. ox4oo&#x ♦ 1  4 |  4  0  4 |  0  4 0  0 1 | *  * 3 * * | 0 2 0
.x3.o .x ..    ♦ 0  6 |  0  6  3 |  0  0 2  3 0 | *  * * 4 * | 1 0 1
.x .. .x4.o    ♦ 0  8 |  0  4  8 |  0  0 0  4 2 | *  * * * 3 | 0 1 1
---------------+------+----------+--------------+------------+------
ox3oo ox ..&#x ♦ 1  6 |  6  6  3 |  6  3 2  3 0 | 2  3 0 1 0 | 4 * *
ox .. ox4oo&#x ♦ 1  8 |  8  4  8 |  4  8 0  4 2 | 0  4 2 0 1 | * 3 *
.x3.o .x4.o    ♦ 0 12 |  0 12 12 |  0  0 4 12 3 | 0  0 0 4 3 | * * 1


ox ox ox3oo&#x   → height = 1/sqrt(6) = 0.408248
(pt || tisdip)

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


oxx ooo3oxx&#x   → height(1,2) = height(1,3) = sqrt(5/12) = 0.645497
                   height(2,3) = 1

o.. o..3o..    | 1 * * | 6 6 0 0 0 0 0 | 3 6 6 3 6 0 0 0 0 0 0 | 3 2 3 6 3 2 0 0 0 0 | 1 3 2 1 0
.o. .o.3.o.    | * 6 * | 1 0 1 2 1 0 0 | 1 2 1 0 0 2 1 1 2 0 0 | 2 1 1 2 0 0 1 2 1 0 | 1 2 1 0 1
..o ..o3..o    | * * 6 | 0 1 0 0 1 1 2 | 0 0 1 1 2 0 0 1 2 2 1 | 0 0 1 2 2 1 0 2 1 1 | 0 2 1 1 1
---------------+-------+---------------+-----------------------+---------------------+----------
oo. oo.3oo.&#x | 1 1 0 | 6 * * * * * * | 1 2 1 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 | 1 2 1 0 0
o.o o.o3o.o&#x | 1 0 1 | * 6 * * * * * | 0 0 1 1 2 0 0 0 0 0 0 | 0 0 1 2 2 1 0 0 0 0 | 0 2 1 1 0
.x. ... ...    | 0 2 0 | * * 3 * * * * | 1 0 0 0 0 2 0 1 0 0 0 | 2 0 1 0 0 0 1 2 0 0 | 1 2 0 0 1
... ... .x.    | 0 2 0 | * * * 6 * * * | 0 1 0 0 0 1 1 0 1 0 0 | 1 1 0 1 0 0 1 1 1 0 | 1 1 1 0 1
.oo .oo3.oo&#x | 0 1 1 | * * * * 6 * * | 0 0 1 0 0 0 0 1 2 0 0 | 0 0 1 2 0 0 0 2 1 0 | 0 2 1 0 1
..x ... ...    | 0 0 2 | * * * * * 3 * | 0 0 0 1 0 0 0 1 0 2 0 | 0 0 1 0 2 0 0 2 0 1 | 0 2 0 1 1
... ... ..x    | 0 0 2 | * * * * * * 6 | 0 0 0 0 1 0 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
---------------+-------+---------------+-----------------------+---------------------+----------
ox. ... ...&#x | 1 2 0 | 2 0 1 0 0 0 0 | 3 * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 | 1 2 0 0 0
... ... ox.&#x | 1 2 0 | 2 0 0 1 0 0 0 | * 6 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
ooo ooo3ooo&#x | 1 1 1 | 1 1 0 0 1 0 0 | * * 6 * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0
o.x ... ...&#x | 1 0 2 | 0 2 0 0 0 1 0 | * * * 3 * * * * * * * | 0 0 1 0 2 0 0 0 0 0 | 0 2 0 1 0
... ... o.x&#x | 1 0 2 | 0 2 0 0 0 0 1 | * * * * 6 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.x. ... .x.    | 0 4 0 | 0 0 2 2 0 0 0 | * * * * * 3 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
... .o.3.x.    | 0 3 0 | 0 0 0 3 0 0 0 | * * * * * * 2 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * * * * * 3 * * * | 0 0 1 0 0 0 0 2 0 0 | 0 2 0 0 1
... ... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * * 6 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
..x ... ..x    | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * 3 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
... ..o3..x    | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+-------+---------------+-----------------------+---------------------+----------
ox. ... ox.&#x ♦ 1 4 0 | 4 0 2 2 0 0 0 | 2 2 0 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 0
... oo.3ox.&#x ♦ 1 3 0 | 3 0 0 3 0 0 0 | 0 3 0 0 0 0 1 0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0
oxx ... ...&#x ♦ 1 2 2 | 2 2 1 0 2 1 0 | 1 0 2 1 0 0 0 1 0 0 0 | * * 3 * * * * * * * | 0 2 0 0 0
... ... oxx&#x ♦ 1 2 2 | 2 2 0 1 2 0 1 | 0 1 2 0 1 0 0 0 1 0 0 | * * * 6 * * * * * * | 0 1 1 0 0
o.x ... o.x&#x ♦ 1 0 4 | 0 4 0 0 0 2 2 | 0 0 0 2 2 0 0 0 0 1 0 | * * * * 3 * * * * * | 0 1 0 1 0
... o.o3o.x&#x ♦ 1 0 3 | 0 3 0 0 0 0 3 | 0 0 0 0 3 0 0 0 0 0 1 | * * * * * 2 * * * * | 0 0 1 1 0
.x. .o.3.x.    ♦ 0 6 0 | 0 0 3 6 0 0 0 | 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
.xx ... .xx&#x ♦ 0 4 4 | 0 0 2 2 4 2 2 | 0 0 0 0 0 1 0 2 2 1 0 | * * * * * * * 3 * * | 0 1 0 0 1
... .oo3.xx&#x ♦ 0 3 3 | 0 0 0 3 3 0 3 | 0 0 0 0 0 0 1 0 3 0 1 | * * * * * * * * 2 * | 0 0 1 0 1
..x ..o3..x    ♦ 0 0 6 | 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * 1 | 0 0 0 1 1
---------------+-------+---------------+-----------------------+---------------------+----------
ox. oo.3ox.&#x ♦ 1 6 0 | 6 0 3 6 0 0 0 | 3 6 0 0 0 3 2 0 0 0 0 | 3 2 0 0 0 0 1 0 0 0 | 1 * * * *
oxx ... oxx&#x ♦ 1 4 4 | 4 4 2 2 4 2 2 | 2 2 4 2 2 1 0 2 2 1 0 | 1 0 2 2 1 0 0 1 0 0 | * 3 * * *
... ooo3oxx&#x ♦ 1 3 3 | 3 3 0 3 3 0 3 | 0 3 3 0 3 0 1 0 3 0 1 | 0 1 0 3 0 1 0 0 1 0 | * * 2 * *
o.x o.o3o.x&#x ♦ 1 0 6 | 0 6 0 0 0 3 6 | 0 0 0 3 6 0 0 0 0 3 2 | 0 0 0 0 3 2 0 0 0 1 | * * * 1 *
.xx .oo3.xx&#x ♦ 0 6 6 | 0 0 3 6 6 3 6 | 0 0 0 0 0 3 2 3 6 3 2 | 0 0 0 0 0 0 1 3 2 1 | * * * * 1


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

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


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

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

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