Acronym tracube
Name triangle - cube duoprism
|,>,O device line pyramid prism prism prism = |>|||
Circumradius sqrt(13/12) = 1.040833
Confer
more general:
n,m-dippip   n,cube-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x3o o3o4x

. . . . . | 24 |  2  3 | 1  6  3 |  3  6 1 | 3 2
----------+----+-------+---------+---------+----
x . . . . |  2 | 24  * | 1  3  0 |  3  3 0 | 3 1
. . . . x |  2 |  * 36 | 0  2  2 |  1  4 1 | 2 2
----------+----+-------+---------+---------+----
x3o . . . |  3 |  3  0 | 8  *  * |  3  0 0 | 3 0
x . . . x |  4 |  2  2 | * 36  * |  1  2 0 | 2 1
. . . o4x |  4 |  0  4 | *  * 18 |  0  2 1 | 1 2
----------+----+-------+---------+---------+----
x3o . . x   6 |  6  3 | 2  3  0 | 12  * * | 2 0
x . . o4x   8 |  4  8 | 0  4  2 |  * 18 * | 1 1
. . o3o4x   8 |  0 12 | 0  0  6 |  *  * 3 | 0 2
----------+----+-------+---------+---------+----
x3o . o4x  12 | 12 12 | 4 12  3 |  4  3 0 | 6 *
x . o3o4x  16 |  8 24 | 0 12 12 |  0  6 2 | * 3

x x3o x4o

. . . . . | 24 |  1  2  2 |  2  2 1  4 1 | 1  4 1 2 2 | 2 2 1
----------+----+----------+--------------+------------+------
x . . . . |  2 | 12  *  * |  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
. x . . . |  2 |  * 24  * |  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
. . . x . |  2 |  *  * 24 |  0  1 0  2 1 | 0  2 1 1 2 | 1 2 1
----------+----+----------+--------------+------------+------
x x . . . |  4 |  2  2  0 | 12  * *  * * | 1  2 0 0 0 | 2 1 0
x . . x . |  4 |  2  0  2 |  * 12 *  * * | 0  2 1 0 0 | 1 2 0
. x3o . . |  3 |  0  3  0 |  *  * 8  * * | 1  0 0 2 0 | 2 0 1
. x . x . |  4 |  0  2  2 |  *  * * 24 * | 0  1 0 1 1 | 1 1 1
. . . x4o |  4 |  0  0  4 |  *  * *  * 6 | 0  0 1 0 2 | 0 2 1
----------+----+----------+--------------+------------+------
x x3o . .   6 |  3  6  0 |  3  0 2  0 0 | 4  * * * * | 2 0 0
x x . x .   8 |  4  4  4 |  2  2 0  2 0 | * 12 * * * | 1 1 0
x . . x4o   8 |  4  0  8 |  0  4 0  0 2 | *  * 3 * * | 0 2 0
. x3o x .   6 |  0  6  3 |  0  0 2  3 0 | *  * * 8 * | 1 0 1
. x . x4o   8 |  0  4  8 |  0  0 0  4 2 | *  * * * 6 | 0 1 1
----------+----+----------+--------------+------------+------
x x3o x .  12 |  6 12  6 |  6  3 4  6 0 | 2  3 0 2 0 | 4 * *
x x . x4o  16 |  8  8 16 |  4  8 0  8 4 | 0  4 2 0 2 | * 3 *
. x3o x4o  12 |  0 12 12 |  0  0 4 12 3 | 0  0 0 4 3 | * * 2

x x x x3o

. . . . . | 24 |  1  1  1  2 | 1 1  2 1  2  2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
----------+----+-------------+------------------+---------------+--------
x . . . . |  2 | 12  *  *  * | 1 1  2 0  0  0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
. x . . . |  2 |  * 12  *  * | 1 0  0 1  2  0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
. . x . . |  2 |  *  * 12  * | 0 1  0 1  0  2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 24 | 0 0  1 0  1  1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
----------+----+-------------+------------------+---------------+--------
x x . . . |  4 |  2  2  0  0 | 6 *  * *  *  * * | 1 2 0 0 0 0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 | * 6  * *  *  * * | 1 0 2 0 0 0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 | * * 12 *  *  * * | 0 1 1 1 0 0 0 | 1 1 1 0
. x x . . |  4 |  0  2  2  0 | * *  * 6  *  * * | 1 0 0 0 2 0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 | * *  * * 12  * * | 0 1 0 0 1 1 0 | 1 1 0 1
. . x x . |  4 |  0  0  2  2 | * *  * *  * 12 * | 0 0 1 0 1 0 1 | 1 0 1 1
. . . x3o |  3 |  0  0  0  3 | * *  * *  *  * 8 | 0 0 0 1 0 1 1 | 0 1 1 1
----------+----+-------------+------------------+---------------+--------
x x x . .   8 |  4  4  4  0 | 2 2  0 2  0  0 0 | 3 * * * * * * | 2 0 0 0
x x . x .   8 |  4  4  0  4 | 2 0  2 0  2  0 0 | * 6 * * * * * | 1 1 0 0
x . x x .   8 |  4  0  4  4 | 0 2  2 0  0  2 0 | * * 6 * * * * | 1 0 1 0
x . . x3o   6 |  3  0  0  6 | 0 0  3 0  0  0 2 | * * * 4 * * * | 0 1 1 0
. x x x .   8 |  0  4  4  4 | 0 0  0 2  2  2 0 | * * * * 6 * * | 1 0 0 1
. x . x3o   6 |  0  3  0  6 | 0 0  0 0  3  0 2 | * * * * * 4 * | 0 1 0 1
. . x x3o   6 |  0  0  3  6 | 0 0  0 0  0  3 2 | * * * * * * 4 | 0 0 1 1
----------+----+-------------+------------------+---------------+--------
x x x x .  16 |  8  8  8  8 | 4 4  4 4  4  4 0 | 2 2 2 0 2 0 0 | 3 * * *
x x . x3o  12 |  6  6  0 12 | 3 0  6 0  6  0 4 | 0 3 0 2 0 2 0 | * 2 * *
x . x x3o  12 |  6  0  6 12 | 0 3  6 0  0  6 4 | 0 0 3 2 0 0 2 | * * 2 *
. x x x3o  12 |  0  6  6 12 | 0 0  0 3  6  6 4 | 0 0 0 0 3 2 2 | * * * 2

xx3oo xx4oo&#x   → height = 1
(tisdip || tisdip)

o.3o. o.4o.    | 12  * |  2  2  1  0  0 | 1  4 1  2  2 0  0 0 | 2 2 1  4 1 0 0 | 1 2 2 0
.o3.o .o4.o    |  * 12 |  0  0  1  2  2 | 0  0 0  2  2 1  4 1 | 0 0 1  4 1 2 2 | 0 2 2 1
---------------+-------+----------------+---------------------+----------------+--------
x. .. .. ..    |  2  0 | 12  *  *  *  * | 1  2 0  1  0 0  0 0 | 2 1 1  2 0 0 0 | 1 2 1 0
.. .. x. ..    |  2  0 |  * 12  *  *  * | 0  2 1  0  1 0  0 0 | 1 2 0  2 1 0 0 | 1 1 2 0
oo3oo oo4oo&#x |  1  1 |  *  * 12  *  * | 0  0 0  2  2 0  0 0 | 0 0 1  4 1 0 0 | 0 2 2 0
.x .. .. ..    |  0  2 |  *  *  * 12  * | 0  0 0  1  0 1  2 0 | 0 0 1  2 0 2 1 | 0 2 1 1
.. .. .x ..    |  0  2 |  *  *  *  * 12 | 0  0 0  0  1 0  2 1 | 0 0 0  2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. .. ..    |  3  0 |  3  0  0  0  0 | 4  * *  *  * *  * * | 2 0 1  0 0 0 0 | 1 2 0 0
x. .. x. ..    |  4  0 |  2  2  0  0  0 | * 12 *  *  * *  * * | 1 1 0  1 0 0 0 | 1 1 1 0
.. .. x.4o.    |  4  0 |  0  4  0  0  0 | *  * 3  *  * *  * * | 0 2 0  0 1 0 0 | 1 0 2 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 | *  * * 12  * *  * * | 0 0 1  2 0 0 0 | 0 2 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  1 | *  * *  * 12 *  * * | 0 0 0  2 1 0 0 | 0 1 2 0
.x3.o .. ..    |  0  3 |  0  0  0  3  0 | *  * *  *  * 4  * * | 0 0 1  0 0 2 0 | 0 2 0 1
.x .. .x ..    |  0  4 |  0  0  0  2  2 | *  * *  *  * * 12 * | 0 0 0  1 0 1 1 | 0 1 1 1
.. .. .x4.o    |  0  4 |  0  0  0  0  4 | *  * *  *  * *  * 3 | 0 0 0  0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. x. ..      6  0 |  6  3  0  0  0 | 2  3 0  0  0 0  0 0 | 4 * *  * * * * | 1 1 0 0
x. .. x.4o.      8  0 |  4  8  0  0  0 | 0  4 2  0  0 0  0 0 | * 3 *  * * * * | 1 0 1 0
xx3oo .. ..&#x   3  3 |  3  0  3  3  0 | 1  0 0  3  0 1  0 0 | * * 4  * * * * | 0 2 0 0
xx .. xx ..&#x   4  4 |  2  2  4  2  2 | 0  1 0  2  2 0  1 0 | * * * 12 * * * | 0 1 1 0
.. .. xx4oo&#x   4  4 |  0  4  4  0  4 | 0  0 1  0  4 0  0 1 | * * *  * 3 * * | 0 0 2 0
.x3.o .x ..      0  6 |  0  0  0  6  3 | 0  0 0  0  0 2  3 0 | * * *  * * 4 * | 0 1 0 1
.x .. .x4.o      0  8 |  0  0  0  4  8 | 0  0 0  0  0 0  4 2 | * * *  * * * 3 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. x.4o.     12  0 | 12 12  0  0  0 | 4 12 3  0  0 0  0 0 | 4 3 0  0 0 0 0 | 1 * * *
xx3oo xx ..&#x   6  6 |  6  3  6  6  3 | 2  3 0  6  3 2  3 0 | 1 0 2  3 0 1 0 | * 4 * *
xx .. xx4oo&#x   8  8 |  4  8  8  4  8 | 0  4 2  4  8 0  4 2 | 0 1 0  4 2 0 1 | * * 3 *
.x3.o .x4.o      0 12 |  0  0  0 12 12 | 0  0 0  0  0 4 12 3 | 0 0 0  0 0 4 3 | * * * 1

xx3oo xx xx&#x   → height = 1
(tisdip || tisdip)

o.3o. o. o.    | 12  * |  2 1 1  1  0 0 0 | 1 2 2 1  2 1 1 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 | 1 1 1 2 0
.o3.o .o .o    |  * 12 |  0 0 0  1  2 1 1 | 0 0 0 0  2 1 1 1 2 2 1 | 0 0 0 1 2 2 1 1 1 2 | 0 1 1 2 1
---------------+-------+------------------+------------------------+---------------------+----------
x. .. .. ..    |  2  0 | 12 * *  *  * * * | 1 1 1 0  1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.. .. x. ..    |  2  0 |  * 6 *  *  * * * | 0 2 0 1  0 1 0 0 0 0 0 | 1 0 2 0 2 0 1 0 0 0 | 1 1 0 2 0
.. .. .. x.    |  2  0 |  * * 6  *  * * * | 0 0 2 1  0 0 1 0 0 0 0 | 0 1 2 0 0 2 1 0 0 0 | 1 0 1 2 0
oo3oo oo oo&#x |  1  1 |  * * * 12  * * * | 0 0 0 0  2 1 1 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 1 1 2 0
.x .. .. ..    |  0  2 |  * * *  * 12 * * | 0 0 0 0  1 0 0 1 1 1 0 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
.. .. .x ..    |  0  2 |  * * *  *  * 6 * | 0 0 0 0  0 1 0 0 2 0 1 | 0 0 0 0 2 0 1 1 0 2 | 0 1 0 2 1
.. .. .. .x    |  0  2 |  * * *  *  * * 6 | 0 0 0 0  0 0 1 0 0 2 1 | 0 0 0 0 0 2 1 0 1 2 | 0 0 1 2 1
---------------+-------+------------------+------------------------+---------------------+----------
x.3o. .. ..    |  3  0 |  3 0 0  0  0 0 0 | 4 * * *  * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
x. .. x. ..    |  4  0 |  2 2 0  0  0 0 0 | * 6 * *  * * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
x. .. .. x.    |  4  0 |  2 0 2  0  0 0 0 | * * 6 *  * * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
.. .. x. x.    |  4  0 |  0 2 2  0  0 0 0 | * * * 3  * * * * * * * | 0 0 2 0 0 0 1 0 0 0 | 1 0 0 2 0
xx .. .. ..&#x |  2  2 |  1 0 0  2  1 0 0 | * * * * 12 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.. .. xx ..&#x |  2  2 |  0 1 0  2  0 1 0 | * * * *  * 6 * * * * * | 0 0 0 0 2 0 1 0 0 0 | 0 1 0 2 0
.. .. .. xx&#x |  2  2 |  0 0 1  2  0 0 1 | * * * *  * * 6 * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0
.x3.o .. ..    |  0  3 |  0 0 0  0  3 0 0 | * * * *  * * * 4 * * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.x .. .x ..    |  0  4 |  0 0 0  0  2 2 0 | * * * *  * * * * 6 * * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.x .. .. .x    |  0  4 |  0 0 0  0  2 0 2 | * * * *  * * * * * 6 * | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
.. .. .x .x    |  0  4 |  0 0 0  0  0 2 2 | * * * *  * * * * * * 3 | 0 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1
---------------+-------+------------------+------------------------+---------------------+----------
x.3o. x. ..      6  0 |  6 3 0  0  0 0 0 | 2 3 0 0  0 0 0 0 0 0 0 | 2 * * * * * * * * * | 1 1 0 0 0
x.3o. .. x.      6  0 |  6 0 3  0  0 0 0 | 2 0 3 0  0 0 0 0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0
x. .. x. x.      8  0 |  4 4 4  0  0 0 0 | 0 2 2 2  0 0 0 0 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0
xx3oo .. ..&#x   3  3 |  3 0 0  3  3 0 0 | 1 0 0 0  3 0 0 1 0 0 0 | * * * 4 * * * * * * | 0 1 1 0 0
xx .. xx ..&#x   4  4 |  2 2 0  4  2 2 0 | 0 1 0 0  2 2 0 0 1 0 0 | * * * * 6 * * * * * | 0 1 0 1 0
xx .. .. xx&#x   4  4 |  2 0 2  4  2 0 2 | 0 0 1 0  2 0 2 0 0 1 0 | * * * * * 6 * * * * | 0 0 1 1 0
.. .. xx xx&#x   4  4 |  0 2 2  4  0 2 2 | 0 0 0 1  0 2 2 0 0 0 1 | * * * * * * 3 * * * | 0 0 0 2 0
.x3.o .x ..      0  6 |  0 0 0  0  6 3 0 | 0 0 0 0  0 0 0 2 3 0 0 | * * * * * * * 2 * * | 0 1 0 0 1
.x3.o .. .x      0  6 |  0 0 0  0  6 0 3 | 0 0 0 0  0 0 0 2 0 3 0 | * * * * * * * * 2 * | 0 0 1 0 1
.x .. .x .x      0  8 |  0 0 0  0  4 4 4 | 0 0 0 0  0 0 0 0 2 2 2 | * * * * * * * * * 3 | 0 0 0 1 1
---------------+-------+------------------+------------------------+---------------------+----------
x.3o. x. x.     12  0 | 12 6 6  0  0 0 0 | 4 6 6 3  0 0 0 0 0 0 0 | 2 2 3 0 0 0 0 0 0 0 | 1 * * * *
xx3oo xx ..&#x   6  6 |  6 3 0  6  6 3 0 | 2 3 0 0  6 3 0 2 3 0 0 | 1 0 0 2 3 0 0 1 0 0 | * 2 * * *
xx3oo .. xx&#x   6  6 |  6 0 3  6  6 0 3 | 2 0 3 0  6 0 3 2 0 3 0 | 0 1 0 2 0 3 0 0 1 0 | * * 2 * *
xx .. xx xx&#x   8  8 |  4 4 4  8  4 4 4 | 0 2 2 2  4 4 4 0 2 2 2 | 0 0 1 0 2 2 2 0 0 1 | * * * 3 *
.x3.o .x .x      0 12 |  0 0 0  0 12 6 6 | 0 0 0 0  0 0 0 4 6 6 3 | 0 0 0 0 0 0 0 2 2 3 | * * * * 1

ox xx xx4oo&#x   → height = sqrt(3)/2 = 0.866025
(cube || tes)

o. o. o.4o.    | 8  * | 1 2  2 0 0  0 | 2 1 1 2  4 0 0 0 0 | 1 1 2 4 2 0 0 0 | 2 1 2 0
.o .o .o4.o    | * 16 | 0 0  1 1 1  2 | 0 0 1 1  2 1 2 2 1 | 0 1 2 2 1 2 1 1 | 2 1 1 1
---------------+------+---------------+--------------------+-----------------+--------
.. x. .. ..    | 2  0 | 4 *  * * *  * | 2 0 0 2  0 0 0 0 0 | 1 1 0 4 0 0 0 0 | 2 0 2 0
.. .. x. ..    | 2  0 | * 8  * * *  * | 1 1 0 0  2 0 0 0 0 | 1 0 1 2 2 0 0 0 | 1 1 2 0
oo oo oo4oo&#x | 1  1 | * * 16 * *  * | 0 0 1 1  2 0 0 0 0 | 0 1 2 2 1 0 0 0 | 2 1 1 0
.x .. .. ..    | 0  2 | * *  * 8 *  * | 0 0 1 0  0 1 2 0 0 | 0 1 2 0 0 2 1 0 | 2 1 0 1
.. .x .. ..    | 0  2 | * *  * * 8  * | 0 0 0 1  0 1 0 2 0 | 0 1 0 2 0 2 0 1 | 2 0 1 1
.. .. .x ..    | 0  2 | * *  * * * 16 | 0 0 0 0  1 0 1 1 1 | 0 0 1 1 1 1 1 1 | 1 1 1 1
---------------+------+---------------+--------------------+-----------------+--------
.. x. x. ..    | 4  0 | 2 2  0 0 0  0 | 4 * * *  * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
.. .. x.4o.    | 4  0 | 0 4  0 0 0  0 | * 2 * *  * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1  2 | 0 0  2 1 0  0 | * * 8 *  * * * * * | 0 1 2 0 0 0 0 0 | 2 1 0 0
.. xx .. ..&#x | 2  2 | 1 0  2 0 1  0 | * * * 8  * * * * * | 0 1 0 2 0 0 0 0 | 2 0 1 0
.. .. xx ..&#x | 2  2 | 0 1  2 0 0  1 | * * * * 16 * * * * | 0 0 1 1 1 0 0 0 | 1 1 1 0
.x .x .. ..    | 0  4 | 0 0  0 2 2  0 | * * * *  * 4 * * * | 0 1 0 0 0 2 0 0 | 2 0 0 1
.x .. .x ..    | 0  4 | 0 0  0 2 0  2 | * * * *  * * 8 * * | 0 0 1 0 0 1 1 0 | 1 1 0 1
.. .x .x ..    | 0  4 | 0 0  0 0 2  2 | * * * *  * * * 8 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x4.o    | 0  4 | 0 0  0 0 0  4 | * * * *  * * * * 4 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+---------------+--------------------+-----------------+--------
.. x. x.4o.     8  0 | 4 8  0 0 0  0 | 4 2 0 0  0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox xx .. ..&#x  2  4 | 1 0  4 2 2  0 | 0 0 2 2  0 1 0 0 0 | * 4 * * * * * * | 2 0 0 0
ox .. xx ..&#x  2  4 | 0 1  4 2 0  2 | 0 0 2 0  2 0 1 0 0 | * * 8 * * * * * | 1 1 0 0
.. xx xx ..&#x  4  4 | 2 2  4 0 2  2 | 1 0 0 2  2 0 0 1 0 | * * * 8 * * * * | 1 0 1 0
.. .. xx4oo&#x  4  4 | 0 4  4 0 0  4 | 0 1 0 0  4 0 0 0 1 | * * * * 4 * * * | 0 1 1 0
.x .x .x ..     0  8 | 0 0  0 4 4  4 | 0 0 0 0  0 2 2 2 0 | * * * * * 4 * * | 1 0 0 1
.x .. .x4.o     0  8 | 0 0  0 4 0  8 | 0 0 0 0  0 0 4 0 2 | * * * * * * 2 * | 0 1 0 1
.. .x .x4.o     0  8 | 0 0  0 0 4  8 | 0 0 0 0  0 0 0 4 2 | * * * * * * * 2 | 0 0 1 1
---------------+------+---------------+--------------------+-----------------+--------
ox xx xx ..&#x  4  8 | 2 2  8 4 4  4 | 1 0 4 4  4 2 2 2 0 | 0 2 2 2 0 1 0 0 | 4 * * *
ox .. xx4oo&#x  4  8 | 0 4  8 4 0  8 | 0 1 4 0  8 0 4 0 2 | 0 0 4 0 2 0 1 0 | * 2 * *
.. xx xx4oo&#x  8  8 | 4 8  8 0 4  8 | 4 2 0 4  8 0 0 4 2 | 1 0 0 4 2 0 0 1 | * * 2 *
.x .x .x4.o     0 16 | 0 0  0 8 8 16 | 0 0 0 0  0 4 8 8 4 | 0 0 0 0 0 4 2 2 | * * * 1

ox xx xx xx&#x   → height = sqrt(3)/2 = 0.866025
(cube || tes)

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

xxx xxx xxx&#x   → all pairwise heights = 1

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

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