Acronym hahip (old: hiddippip)
Name hexagon hexagonal-prism duoprism,
hexagon-hexagon duoprismatic prism
Circumradius 3/2 = 1.5
Volume 27/4 = 6.75
Face vector 72, 180, 168, 72, 14
Confer
more general:
n,m-dippip  
general polytopal classes:
Wythoffian polytera   segmentotera   lace simplices  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x6o x6o

. . . . . | 72 |  1  2  2 |  2  2  1  4  1 | 1  4 1  2  2 | 2 2 1
----------+----+----------+----------------+--------------+------
x . . . . |  2 | 36  *  * |  2  2  0  0  0 | 1  4 1  0  0 | 2 2 0
. x . . . |  2 |  * 72  * |  1  0  1  2  0 | 1  2 0  2  1 | 2 1 1
. . . x . |  2 |  *  * 72 |  0  1  0  2  1 | 0  2 1  1  2 | 1 2 1
----------+----+----------+----------------+--------------+------
x x . . . |  4 |  2  2  0 | 36  *  *  *  * | 1  2 0  0  0 | 2 1 0
x . . x . |  4 |  2  0  2 |  * 36  *  *  * | 0  2 1  0  0 | 1 2 0
. x6o . . |  6 |  0  6  0 |  *  * 12  *  * | 1  0 0  2  0 | 2 0 1
. x . x . |  4 |  0  2  2 |  *  *  * 72  * | 0  1 0  1  1 | 1 1 1
. . . x6o |  6 |  0  0  6 |  *  *  *  * 12 | 0  0 1  0  2 | 0 2 1
----------+----+----------+----------------+--------------+------
x x6o . .  12 |  6 12  0 |  6  0  2  0  0 | 6  * *  *  * | 2 0 0
x x . x .   8 |  4  4  4 |  2  2  0  2  0 | * 36 *  *  * | 1 1 0
x . . x6o  12 |  6  0 12 |  0  6  0  0  2 | *  * 6  *  * | 0 2 0
. x6o x .  12 |  0 12  6 |  0  0  2  6  0 | *  * * 12  * | 1 0 1
. x . x6o  12 |  0  6 12 |  0  0  0  6  2 | *  * *  * 12 | 0 1 1
----------+----+----------+----------------+--------------+------
x x6o x .  24 | 12 24 12 | 12  6  4 12  0 | 2  6 0  2  0 | 6 * *
x x . x6o  24 | 12 12 24 |  6 12  0 12  4 | 0  6 2  0  2 | * 6 *
. x6o x6o  36 |  0 36 36 |  0  0  6 36  6 | 0  0 0  6  6 | * * 2

x x3x x3x

. . . . . | 72 |  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 | 1 1 1 1 1
----------+----+----------------+-------------------------------+---------------------+----------
x . . . . |  2 | 36  *  *  *  * |  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 . . . |  2 |  * 36  *  *  * |  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
. . x . . |  2 |  *  * 36  *  * |  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 . |  2 |  *  *  * 36  * |  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 |  2 |  *  *  *  * 36 |  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
----------+----+----------------+-------------------------------+---------------------+----------
x x . . . |  4 |  2  2  0  0  0 | 18  *  *  *  *  *  *  *  *  * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . x . . |  4 |  2  0  2  0  0 |  * 18  *  *  *  *  *  *  *  * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
x . . x . |  4 |  2  0  0  2  0 |  *  * 18  *  *  *  *  *  *  * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . x |  4 |  2  0  0  0  2 |  *  *  * 18  *  *  *  *  *  * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. x3x . . |  6 |  0  3  3  0  0 |  *  *  *  * 12  *  *  *  *  * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
. x . x . |  4 |  0  2  0  2  0 |  *  *  *  *  * 18  *  *  *  * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
. x . . x |  4 |  0  2  0  0  2 |  *  *  *  *  *  * 18  *  *  * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . x x . |  4 |  0  0  2  2  0 |  *  *  *  *  *  *  * 18  *  * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  0  2 |  *  *  *  *  *  *  *  * 18  * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
. . . x3x |  6 |  0  0  0  3  3 |  *  *  *  *  *  *  *  *  * 12 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
----------+----+----------------+-------------------------------+---------------------+----------
x x3x . .  12 |  6  6  6  0  0 |  3  3  0  0  2  0  0  0  0  0 | 6 * * * * * * * * * | 1 1 0 0 0
x x . x .   8 |  4  4  0  4  0 |  2  0  2  0  0  2  0  0  0  0 | * 9 * * * * * * * * | 1 0 1 0 0
x x . . x   8 |  4  4  0  0  4 |  2  0  0  2  0  0  2  0  0  0 | * * 9 * * * * * * * | 0 1 1 0 0
x . x x .   8 |  4  0  4  4  0 |  0  2  2  0  0  0  0  2  0  0 | * * * 9 * * * * * * | 1 0 0 1 0
x . x . x   8 |  4  0  4  0  4 |  0  2  0  2  0  0  0  0  2  0 | * * * * 9 * * * * * | 0 1 0 1 0
x . . x3x  12 |  6  0  0  6  6 |  0  0  3  3  0  0  0  0  0  2 | * * * * * 6 * * * * | 0 0 1 1 0
. x3x x .  12 |  0  6  6  6  0 |  0  0  0  0  2  3  0  3  0  0 | * * * * * * 6 * * * | 1 0 0 0 1
. x3x . x  12 |  0  6  6  0  6 |  0  0  0  0  2  0  3  0  3  0 | * * * * * * * 6 * * | 0 1 0 0 1
. x . x3x  12 |  0  6  0  6  6 |  0  0  0  0  0  3  3  0  0  2 | * * * * * * * * 6 * | 0 0 1 0 1
. . x x3x  12 |  0  0  6  6  6 |  0  0  0  0  0  0  0  3  3  2 | * * * * * * * * * 6 | 0 0 0 1 1
----------+----+----------------+-------------------------------+---------------------+----------
x x3x x .  24 | 12 12 12 12  0 |  6  6  6  0  4  6  0  6  0  0 | 2 3 0 3 0 0 2 0 0 0 | 3 * * * *
x x3x . x  24 | 12 12 12  0 12 |  6  6  0  6  4  0  6  0  6  0 | 2 0 3 0 3 0 0 2 0 0 | * 3 * * *
x x . x3x  24 | 12 12  0 12 12 |  6  0  6  6  0  6  6  0  0  4 | 0 3 3 0 0 2 0 0 2 0 | * * 3 * *
x . x x3x  24 | 12  0 12 12 12 |  0  6  6  6  0  0  0  6  6  4 | 0 0 0 3 3 2 0 0 0 2 | * * * 3 *
. x3x x3x  36 |  0 18 18 18 18 |  0  0  0  0  6  9  9  9  9  6 | 0 0 0 0 0 0 3 3 3 3 | * * * * 2

xx6oo xx6oo&#x   → height = 1
(hiddip || hiddip)

o.6o. o.6o.    | 36  * |  2  2  1  0  0 | 1  4 1  2  2 0  0 0 | 2 2 1  4 1 0 0 | 1 2 2 0
.o6.o .o6.o    |  * 36 |  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 | 36  *  *  *  * | 1  2 0  1  0 0  0 0 | 2 1 1  2 0 0 0 | 1 2 1 0
.. .. x. ..    |  2  0 |  * 36  *  *  * | 0  2 1  0  1 0  0 0 | 1 2 0  2 1 0 0 | 1 1 2 0
oo6oo oo6oo&#x |  1  1 |  *  * 36  *  * | 0  0 0  2  2 0  0 0 | 0 0 1  4 1 0 0 | 0 2 2 0
.x .. .. ..    |  0  2 |  *  *  * 36  * | 0  0 0  1  0 1  2 0 | 0 0 1  2 0 2 1 | 0 2 1 1
.. .. .x ..    |  0  2 |  *  *  *  * 36 | 0  0 0  0  1 0  2 1 | 0 0 0  2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.6o. .. ..    |  6  0 |  6  0  0  0  0 | 6  * *  *  * *  * * | 2 0 1  0 0 0 0 | 1 2 0 0
x. .. x. ..    |  4  0 |  2  2  0  0  0 | * 36 *  *  * *  * * | 1 1 0  1 0 0 0 | 1 1 1 0
.. .. x.6o.    |  6  0 |  0  6  0  0  0 | *  * 6  *  * *  * * | 0 2 0  0 1 0 0 | 1 0 2 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 | *  * * 36  * *  * * | 0 0 1  2 0 0 0 | 0 2 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  1 | *  * *  * 36 *  * * | 0 0 0  2 1 0 0 | 0 1 2 0
.x6.o .. ..    |  0  6 |  0  0  0  6  0 | *  * *  *  * 6  * * | 0 0 1  0 0 2 0 | 0 2 0 1
.x .. .x ..    |  0  4 |  0  0  0  2  2 | *  * *  *  * * 36 * | 0 0 0  1 0 1 1 | 0 1 1 1
.. .. .x6.o    |  0  6 |  0  0  0  0  6 | *  * *  *  * *  * 6 | 0 0 0  0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.6o. x. ..     12  0 | 12  6  0  0  0 | 2  6 0  0  0 0  0 0 | 6 * *  * * * * | 1 1 0 0
x. .. x.6o.     12  0 |  6 12  0  0  0 | 0  6 2  0  0 0  0 0 | * 6 *  * * * * | 1 0 1 0
xx6oo .. ..&#x   6  6 |  6  0  6  6  0 | 1  0 0  6  0 1  0 0 | * * 6  * * * * | 0 2 0 0
xx .. xx ..&#x   4  4 |  2  2  4  2  2 | 0  1 0  2  2 0  1 0 | * * * 36 * * * | 0 1 1 0
.. .. xx6oo&#x   6  6 |  0  6  6  0  6 | 0  0 1  0  6 0  0 1 | * * *  * 6 * * | 0 0 2 0
.x6.o .x ..      0 12 |  0  0  0 12  6 | 0  0 0  0  0 2  6 0 | * * *  * * 6 * | 0 1 0 1
.x .. .x6.o      0 12 |  0  0  0  6 12 | 0  0 0  0  0 0  6 2 | * * *  * * * 6 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.6o. x.6o.     36  0 | 36 36  0  0  0 | 6 36 6  0  0 0  0 0 | 6 6 0  0 0 0 0 | 1 * * *
xx6oo xx ..&#x  12 12 | 12  6 12 12  6 | 2  6 0 12  6 2  6 0 | 1 0 2  6 0 1 0 | * 6 * *
xx .. xx6oo&#x  12 12 |  6 12 12  6 12 | 0  6 2  6 12 0  6 2 | 0 1 0  6 2 0 1 | * * 6 *
.x6.o .x6.o      0 36 |  0  0  0 36 36 | 0  0 0  0  0 6 36 6 | 0 0 0  0 0 6 6 | * * * 1

xx3xx xx3xx&#x   → height = 1
(hiddip || hiddip)

o.3o. o.3o.    | 36  * |  1  1  1  1  1  0  0  0  0 | 1 1 1 1 1 1  1  1  1  1 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 0
.o3.o .o3.o    |  * 36 |  0  0  0  0  1  1  1  1  1 | 0 0 0 0 0 0  1  1  1  1 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+----------------------------+-------------------------------------+-----------------------------+------------
x. .. .. ..    |  2  0 | 18  *  *  *  *  *  *  *  * | 1 1 1 0 0 0  1  0  0  0 0 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
.. x. .. ..    |  2  0 |  * 18  *  *  *  *  *  *  * | 1 0 0 1 1 0  0  1  0  0 0 0 0 0 0 0 | 1 1 0 1 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x. ..    |  2  0 |  *  * 18  *  *  *  *  *  * | 0 1 0 1 0 1  0  0  1  0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 0
.. .. .. x.    |  2  0 |  *  *  * 18  *  *  *  *  * | 0 0 1 0 1 1  0  0  0  1 0 0 0 0 0 0 | 0 1 1 1 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo3oo oo3oo&#x |  1  1 |  *  *  *  * 36  *  *  *  * | 0 0 0 0 0 0  1  1  1  1 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. ..    |  0  2 |  *  *  *  *  * 18  *  *  * | 0 0 0 0 0 0  1  0  0  0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. ..    |  0  2 |  *  *  *  *  *  * 18  *  * | 0 0 0 0 0 0  0  1  0  0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x ..    |  0  2 |  *  *  *  *  *  *  * 18  * | 0 0 0 0 0 0  0  0  1  0 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x    |  0  2 |  *  *  *  *  *  *  *  * 18 | 0 0 0 0 0 0  0  0  0  1 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+----------------------------+-------------------------------------+-----------------------------+------------
x.3x. .. ..    |  6  0 |  3  3  0  0  0  0  0  0  0 | 6 * * * * *  *  *  *  * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. x. ..    |  4  0 |  2  0  2  0  0  0  0  0  0 | * 9 * * * *  *  *  *  * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
x. .. .. x.    |  4  0 |  2  0  0  2  0  0  0  0  0 | * * 9 * * *  *  *  *  * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x. x. ..    |  4  0 |  0  2  2  0  0  0  0  0  0 | * * * 9 * *  *  *  *  * * * * * * * | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x.    |  4  0 |  0  2  0  2  0  0  0  0  0 | * * * * 9 *  *  *  *  * * * * * * * | 0 1 0 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x.3x.    |  6  0 |  0  0  3  3  0  0  0  0  0 | * * * * * 6  *  *  *  * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0  0  2  1  0  0  0 | * * * * * * 18  *  *  * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x |  2  2 |  0  1  0  0  2  0  1  0  0 | * * * * * *  * 18  *  * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x |  2  2 |  0  0  1  0  2  0  0  1  0 | * * * * * *  *  * 18  * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x |  2  2 |  0  0  0  1  2  0  0  0  1 | * * * * * *  *  *  * 18 * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. ..    |  0  6 |  0  0  0  0  0  3  3  0  0 | * * * * * *  *  *  *  * 6 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x ..    |  0  4 |  0  0  0  0  0  2  0  2  0 | * * * * * *  *  *  *  * * 9 * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x    |  0  4 |  0  0  0  0  0  2  0  0  2 | * * * * * *  *  *  *  * * * 9 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x .x ..    |  0  4 |  0  0  0  0  0  0  2  2  0 | * * * * * *  *  *  *  * * * * 9 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x    |  0  4 |  0  0  0  0  0  0  2  0  2 | * * * * * *  *  *  *  * * * * * 9 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x3.x    |  0  6 |  0  0  0  0  0  0  0  3  3 | * * * * * *  *  *  *  * * * * * * 6 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------------+-------------------------------------+-----------------------------+------------
x.3x. x. ..     12  0 |  6  6  6  0  0  0  0  0  0 | 2 3 0 3 0 0  0  0  0  0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * | 1 1 0 0 0 0
x.3x. .. x.     12  0 |  6  6  0  6  0  0  0  0  0 | 2 0 3 0 3 0  0  0  0  0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * | 1 0 1 0 0 0
x. .. x.3x.     12  0 |  6  0  6  6  0  0  0  0  0 | 0 3 3 0 0 2  0  0  0  0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * | 1 0 0 1 0 0
.. x. x.3x.     12  0 |  0  6  6  6  0  0  0  0  0 | 0 0 0 3 3 2  0  0  0  0 0 0 0 0 0 0 | * * * 3 * * * * * * * * * * | 1 0 0 0 1 0
xx3xx .. ..&#x   6  6 |  3  3  0  0  6  3  3  0  0 | 1 0 0 0 0 0  3  3  0  0 1 0 0 0 0 0 | * * * * 6 * * * * * * * * * | 0 1 1 0 0 0
xx .. xx ..&#x   4  4 |  2  0  2  0  4  2  0  2  0 | 0 1 0 0 0 0  2  0  2  0 0 1 0 0 0 0 | * * * * * 9 * * * * * * * * | 0 1 0 1 0 0
xx .. .. xx&#x   4  4 |  2  0  0  2  4  2  0  0  2 | 0 0 1 0 0 0  2  0  0  2 0 0 1 0 0 0 | * * * * * * 9 * * * * * * * | 0 0 1 1 0 0
.. xx xx ..&#x   4  4 |  0  2  2  0  4  0  2  2  0 | 0 0 0 1 0 0  0  2  2  0 0 0 0 1 0 0 | * * * * * * * 9 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x   4  4 |  0  2  0  2  4  0  2  0  2 | 0 0 0 0 1 0  0  2  0  2 0 0 0 0 1 0 | * * * * * * * * 9 * * * * * | 0 0 1 0 1 0
.. .. xx3xx&#x   6  6 |  0  0  3  3  6  0  0  3  3 | 0 0 0 0 0 1  0  0  3  3 0 0 0 0 0 1 | * * * * * * * * * 6 * * * * | 0 0 0 1 1 0
.x3.x .x ..      0 12 |  0  0  0  0  0  6  6  6  0 | 0 0 0 0 0 0  0  0  0  0 2 3 0 3 0 0 | * * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.x3.x .. .x      0 12 |  0  0  0  0  0  6  6  0  6 | 0 0 0 0 0 0  0  0  0  0 2 0 3 0 3 0 | * * * * * * * * * * * 3 * * | 0 0 1 0 0 1
.x .. .x3.x      0 12 |  0  0  0  0  0  6  0  6  6 | 0 0 0 0 0 0  0  0  0  0 0 3 3 0 0 2 | * * * * * * * * * * * * 3 * | 0 0 0 1 0 1
.. .x .x3.x      0 12 |  0  0  0  0  0  0  6  6  6 | 0 0 0 0 0 0  0  0  0  0 0 0 0 3 3 2 | * * * * * * * * * * * * * 3 | 0 0 0 0 1 1
---------------+-------+----------------------------+-------------------------------------+-----------------------------+------------
x.3x. x.3x.     36  0 | 18 18 18 18  0  0  0  0  0 | 6 9 9 9 9 6  0  0  0  0 0 0 0 0 0 0 | 3 3 3 3 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xx xx ..&#x  12 12 |  6  6  6  0 12  6  6  6  0 | 2 3 0 3 0 0  6  6  6  0 2 3 0 3 0 0 | 1 0 0 0 2 3 0 3 0 0 1 0 0 0 | * 3 * * * *
xx3xx .. xx&#x  12 12 |  6  6  0  6 12  6  6  0  6 | 2 0 3 0 3 0  6  6  0  6 2 0 3 0 3 0 | 0 1 0 0 2 0 3 0 3 0 0 1 0 0 | * * 3 * * *
xx .. xx3xx&#x  12 12 |  6  0  6  6 12  6  0  6  6 | 0 3 3 0 0 2  6  0  6  6 0 3 3 0 0 2 | 0 0 1 0 0 3 3 0 0 2 0 0 1 0 | * * * 3 * *
.. xx xx3xx&#x  12 12 |  0  6  6  6 12  0  6  6  6 | 0 0 0 3 3 2  0  6  6  6 0 0 0 3 3 2 | 0 0 0 1 0 0 0 3 3 2 0 0 0 1 | * * * * 3 *
.x3.x .x3.x      0 36 |  0  0  0  0  0 18 18 18 18 | 0 0 0 0 0 0  0  0  0  0 6 9 9 9 9 6 | 0 0 0 0 0 0 0 0 0 0 3 3 3 3 | * * * * * 1

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