Acronym	hacube (old: hiccube)
Name	hexagon cube duoprism
Circumradius	sqrt(7)/2 = 1.322876
Volume	3 sqrt(3)/2 = 2.598076
Face vector	48, 120, 116, 54, 12
Confer	more general: n,cube-dip   n,m-dippip   general polytopal classes: Wythoffian polytera   segmentotera   lace simplices
External links

Incidence matrix according to Dynkin symbol

x6o o3o4x

. . . . . | 48 |  2  3 | 1  6  3 |  3  6 1 | 3 2
----------+----+-------+---------+---------+----
x . . . . |  2 | 48  * | 1  3  0 |  3  3 0 | 3 1
. . . . x |  2 |  * 72 | 0  2  2 |  1  4 1 | 2 2
----------+----+-------+---------+---------+----
x6o . . . |  6 |  6  0 | 8  *  * |  3  0 0 | 3 0
x . . . x |  4 |  2  2 | * 72  * |  1  2 0 | 2 1
. . . o4x |  4 |  0  4 | *  * 36 |  0  2 1 | 1 2
----------+----+-------+---------+---------+----
x6o . . x ♦ 12 | 12  6 | 2  6  0 | 12  * * | 2 0
x . . o4x ♦  8 |  4  8 | 0  4  2 |  * 36 * | 1 1
. . o3o4x ♦  8 |  0 12 | 0  0  6 |  *  * 6 | 0 2
----------+----+-------+---------+---------+----
x6o . o4x ♦ 24 | 24 24 | 4 24  6 |  4  6 0 | 6 *
x . o3o4x ♦ 16 |  8 24 | 0 12 12 |  0  6 2 | * 6

snubbed forms: s6o2o3o4s

x3x o3o4x

. . . . . | 48 |  1  1  3 | 1  3  3  3 |  3  3  3 1 | 3 1 1
----------+----+----------+------------+------------+------
x . . . . |  2 | 24  *  * | 1  3  0  0 |  3  3  0 0 | 3 1 0
. x . . . |  2 |  * 24  * | 1  0  3  0 |  3  0  3 0 | 3 0 1
. . . . x |  2 |  *  * 72 | 0  1  1  2 |  1  2  2 1 | 2 1 1
----------+----+----------+------------+------------+------
x3x . . . |  6 |  3  3  0 | 8  *  *  * |  3  0  0 0 | 3 0 0
x . . . x |  4 |  2  0  2 | * 36  *  * |  1  2  0 0 | 2 1 0
. x . . x |  4 |  0  2  2 | *  * 36  * |  1  0  2 0 | 2 0 1
. . . o4x |  4 |  0  0  4 | *  *  * 36 |  0  1  1 1 | 1 1 1
----------+----+----------+------------+------------+------
x3x . . x ♦ 12 |  6  6  6 | 2  3  3  0 | 12  *  * * | 2 0 0
x . . o4x ♦  8 |  4  0  8 | 0  4  0  2 |  * 18  * * | 1 1 0
. x . o4x ♦  8 |  0  4  8 | 0  0  4  2 |  *  * 18 * | 1 0 1
. . o3o4x ♦  8 |  0  0 12 | 0  0  0  6 |  *  *  * 6 | 0 1 1
----------+----+----------+------------+------------+------
x3x . o4x ♦ 24 | 12 12 24 | 4 12 12  6 |  4  3  3 0 | 6 * *
x . o3o4x ♦ 16 |  8  0 24 | 0 12  0 12 |  0  6  0 2 | * 3 *
. x o3o4x ♦ 16 |  0  8 24 | 0  0 12 12 |  0  0  6 2 | * * 3

x x4o x6o
. . . . . | 48 |  1  2  2 |  2  2  1  4 1 | 1  4 1  2 2 | 2 2 1
----------+----+----------+---------------+-------------+------
x . . . . |  2 | 24  *  * |  2  2  0  0 0 | 1  4 1  0 0 | 2 2 0
. x . . . |  2 |  * 48  * |  1  0  1  2 0 | 1  2 0  2 1 | 2 1 1
. . . x . |  2 |  *  * 48 |  0  1  0  2 1 | 0  2 1  1 2 | 1 2 1
----------+----+----------+---------------+-------------+------
x x . . . |  4 |  2  2  0 | 24  *  *  * * | 1  2 0  0 0 | 2 1 0
x . . x . |  4 |  2  0  2 |  * 24  *  * * | 0  2 1  0 0 | 1 2 0
. x4o . . |  4 |  0  4  0 |  *  * 12  * * | 1  0 0  2 0 | 2 0 1
. x . x . |  4 |  0  2  2 |  *  *  * 48 * | 0  1 0  1 1 | 1 1 1
. . . x6o |  6 |  0  0  6 |  *  *  *  * 8 | 0  0 1  0 2 | 0 2 1
----------+----+----------+---------------+-------------+------
x x4o . . ♦  8 |  4  8  0 |  4  0  2  0 0 | 6  * *  * * | 2 0 0
x x . x . ♦  8 |  4  4  4 |  2  2  0  2 0 | * 24 *  * * | 1 1 0
x . . x6o ♦ 12 |  6  0 12 |  0  6  0  0 2 | *  * 4  * * | 0 2 0
. x4o x . ♦  8 |  0  8  4 |  0  0  2  4 0 | *  * * 12 * | 1 0 1
. x . x6o ♦ 12 |  0  6 12 |  0  0  0  6 2 | *  * *  * 8 | 0 1 1
----------+----+----------+---------------+-------------+------
x x4o x . ♦ 16 |  8 16  8 |  8  4  4  8 0 | 2  4 0  2 0 | 6 * *
x x . x6o ♦ 24 | 12 12 24 |  6 12  0 12 4 | 0  6 2  0 2 | * 4 *
. x4o x6o ♦ 24 |  0 24 24 |  0  0  6 24 4 | 0  0 0  6 4 | * * 2

x x3x x4o

. . . . . | 48 |  1  1  1  2 |  1  1  2 1  2  2  1 | 1  2  2 1 2 1 1 | 2 1 1 1
----------+----+-------------+---------------------+-----------------+--------
x . . . . |  2 | 24  *  *  * |  1  1  2 0  0  0  0 | 1  2  2 1 0 0 0 | 2 1 1 0
. x . . . |  2 |  * 24  *  * |  1  0  0 1  2  0  0 | 1  2  0 0 2 1 0 | 2 1 0 1
. . x . . |  2 |  *  * 24  * |  0  1  0 1  0  2  0 | 1  0  2 0 2 0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 48 |  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 | 12  *  * *  *  *  * | 1  2  0 0 0 0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 12  * *  *  *  * | 1  0  2 0 0 0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 |  *  * 24 *  *  *  * | 0  1  1 1 0 0 0 | 1 1 1 0
. x3x . . |  6 |  0  3  3  0 |  *  *  * 8  *  *  * | 1  0  0 0 2 0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 |  *  *  * * 24  *  * | 0  1  0 0 1 1 0 | 1 1 0 1
. . x x . |  4 |  0  0  2  2 |  *  *  * *  * 24  * | 0  0  1 0 1 0 1 | 1 0 1 1
. . . x4o |  4 |  0  0  0  4 |  *  *  * *  *  * 12 | 0  0  0 1 0 1 1 | 0 1 1 1
----------+----+-------------+---------------------+-----------------+--------
x x3x . . ♦ 12 |  6  6  6  0 |  3  3  0 2  0  0  0 | 4  *  * * * * * | 2 0 0 0
x x . x . ♦  8 |  4  4  0  4 |  2  0  2 0  2  0  0 | * 12  * * * * * | 1 1 0 0
x . x x . ♦  8 |  4  0  4  4 |  0  2  2 0  0  2  0 | *  * 12 * * * * | 1 0 1 0
x . . x4o ♦  8 |  4  0  0  8 |  0  0  4 0  0  0  2 | *  *  * 6 * * * | 0 1 1 0
. x3x x . ♦ 12 |  0  6  6  6 |  0  0  0 2  3  3  0 | *  *  * * 8 * * | 1 0 0 1
. x . x4o ♦  8 |  0  4  0  8 |  0  0  0 0  4  0  2 | *  *  * * * 6 * | 0 1 0 1
. . x x4o ♦  8 |  0  0  4  8 |  0  0  0 0  0  4  2 | *  *  * * * * 6 | 0 0 1 1
----------+----+-------------+---------------------+-----------------+--------
x x3x x . ♦ 24 | 12 12 12 12 |  6  6  6 4  6  6  0 | 2  3  3 0 2 0 0 | 4 * * *
x x . x4o ♦ 16 |  8  8  0 16 |  4  0  8 0  8  0  4 | 0  4  0 2 0 2 0 | * 3 * *
x . x x4o ♦ 16 |  8  0  8 16 |  0  4  8 0  0  8  4 | 0  0  4 2 0 0 2 | * * 3 *
. x3x x4o ♦ 24 |  0 12 12 24 |  0  0  0 4 12 12  6 | 0  0  0 0 4 3 3 | * * * 2

x x x x6o

. . . . . | 48 |  1  1  1  2 |  1  1  2  1  2  2 1 | 1  2  2 1  2 1 1 | 2 1 1 1
----------+----+-------------+---------------------+------------------+--------
x . . . . |  2 | 24  *  *  * |  1  1  2  0  0  0 0 | 1  2  2 1  0 0 0 | 2 1 1 0
. x . . . |  2 |  * 24  *  * |  1  0  0  1  2  0 0 | 1  2  0 0  2 1 0 | 2 1 0 1
. . x . . |  2 |  *  * 24  * |  0  1  0  1  0  2 0 | 1  0  2 0  2 0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 48 |  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 | 12  *  *  *  *  * * | 1  2  0 0  0 0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 12  *  *  *  * * | 1  0  2 0  0 0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 |  *  * 24  *  *  * * | 0  1  1 1  0 0 0 | 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 12  *  * * | 1  0  0 0  2 0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 |  *  *  *  * 24  * * | 0  1  0 0  1 1 0 | 1 1 0 1
. . x x . |  4 |  0  0  2  2 |  *  *  *  *  * 24 * | 0  0  1 0  1 0 1 | 1 0 1 1
. . . x6o |  6 |  0  0  0  6 |  *  *  *  *  *  * 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 | 6  *  * *  * * * | 2 0 0 0
x x . x . ♦  8 |  4  4  0  4 |  2  0  2  0  2  0 0 | * 12  * *  * * * | 1 1 0 0
x . x x . ♦  8 |  4  0  4  4 |  0  2  2  0  0  2 0 | *  * 12 *  * * * | 1 0 1 0
x . . x6o ♦ 12 |  6  0  0 12 |  0  0  6  0  0  0 2 | *  *  * 4  * * * | 0 1 1 0
. x x x . ♦  8 |  0  4  4  4 |  0  0  0  2  2  2 0 | *  *  * * 12 * * | 1 0 0 1
. x . x6o ♦ 12 |  0  6  0 12 |  0  0  0  0  6  0 2 | *  *  * *  * 4 * | 0 1 0 1
. . x x6o ♦ 12 |  0  0  6 12 |  0  0  0  0  0  6 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 | 6 * * *
x x . x6o ♦ 24 | 12 12  0 24 |  6  0 12  0 12  0 4 | 0  6  0 2  0 2 0 | * 2 * *
x . x x6o ♦ 24 | 12  0 12 24 |  0  6 12  0  0 12 4 | 0  0  6 2  0 0 2 | * * 2 *
. x x x6o ♦ 24 |  0 12 12 24 |  0  0  0  6 12 12 4 | 0  0  0 0  6 2 2 | * * * 2

x x x x3x

. . . . . | 48 |  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 | 24  *  *  *  * |  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 |  * 24  *  *  * |  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 |  *  * 24  *  * |  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 |  *  *  * 24  * |  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 |  *  *  *  * 24 |  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 | 12  *  *  *  *  *  *  *  * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . x . . |  4 |  2  0  2  0  0 |  * 12  *  *  *  *  *  *  * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
x . . x . |  4 |  2  0  0  2  0 |  *  * 12  *  *  *  *  *  * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . x |  4 |  2  0  0  0  2 |  *  *  * 12  *  *  *  *  * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. x x . . |  4 |  0  2  2  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 |  *  *  *  *  * 12  *  *  * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
. x . . x |  4 |  0  2  0  0  2 |  *  *  *  *  *  * 12  *  * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . x x . |  4 |  0  0  2  2  0 |  *  *  *  *  *  *  * 12  * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  0  2 |  *  *  *  *  *  *  *  * 12 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
. . . x3x |  6 |  0  0  0  3  3 |  *  *  *  *  *  *  *  *  * 8 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
----------+----+----------------+------------------------------+---------------------+----------
x x x . . ♦  8 |  4  4  4  0  0 |  2  2  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 | * 6 * * * * * * * * | 1 0 1 0 0
x x . . x ♦  8 |  4  4  0  0  4 |  2  0  0  2  0  0  2  0  0 0 | * * 6 * * * * * * * | 0 1 1 0 0
x . x x . ♦  8 |  4  0  4  4  0 |  0  2  2  0  0  0  0  2  0 0 | * * * 6 * * * * * * | 1 0 0 1 0
x . x . x ♦  8 |  4  0  4  0  4 |  0  2  0  2  0  0  0  0  2 0 | * * * * 6 * * * * * | 0 1 0 1 0
x . . x3x ♦ 12 |  6  0  0  6  6 |  0  0  3  3  0  0  0  0  0 2 | * * * * * 4 * * * * | 0 0 1 1 0
. x x x . ♦  8 |  0  4  4  4  0 |  0  0  0  0  2  2  0  2  0 0 | * * * * * * 6 * * * | 1 0 0 0 1
. x x . x ♦  8 |  0  4  4  0  4 |  0  0  0  0  2  0  2  0  2 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 | * * * * * * * * 4 * | 0 0 1 0 1
. . x x3x ♦ 12 |  0  0  6  6  6 |  0  0  0  0  0  0  0  3  3 2 | * * * * * * * * * 4 | 0 0 0 1 1
----------+----+----------------+------------------------------+---------------------+----------
x x x x . ♦ 16 |  8  8  8  8  0 |  4  4  4  0  4  4  0  4  0 0 | 2 2 0 2 0 0 2 0 0 0 | 3 * * * *
x x x . x ♦ 16 |  8  8  8  0  8 |  4  4  0  4  4  0  4  0  4 0 | 2 0 2 0 2 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 | * * 2 * *
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 | * * * 2 *
. x x x3x ♦ 24 |  0 12 12 12 12 |  0  0  0  0  6  6  6  6  6 4 | 0 0 0 0 0 0 3 3 2 2 | * * * * 2

xx4oo xx6oo&#x   → height = 1
(shiddip || shiddip)

... 

xx xx xx6oo&#x   → height = 1
(shiddip || shiddip)

... 

xx4oo xx3xx&#x   → height = 1
(shiddip || shiddip)

... 

xx xx xx3xx&#x   → height = 1
(shiddip || shiddip)

o. o. o.3o.    | 24  * |  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
.o .o .o3.o    |  * 24 |  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 | 12  *  *  *  *  *  *  *  * | 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 |  * 12  *  *  *  *  *  *  * | 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 |  *  * 12  *  *  *  *  *  * | 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 |  *  *  * 12  *  *  *  *  * | 0 0 1 0 0 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
oo oo oo3oo&#x |  1  1 |  *  *  *  * 24  *  *  *  * | 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 |  *  *  *  *  * 12  *  *  * | 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 |  *  *  *  *  *  * 12  *  * | 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 |  *  *  *  *  *  *  * 12  * | 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 |  *  *  *  *  *  *  *  * 12 | 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. x. .. ..    |  4  0 |  2  2  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 | * 6 * * * *  *  *  *  * * * * * * * | 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 | * * 6 * * *  *  *  *  * * * * * * * | 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 | * * * 6 * *  *  *  *  * * * * * * * | 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  0  0  0  0  0  0 | * * * * 6 *  *  *  *  * * * * * * * | 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 | * * * * * 4  *  *  *  * * * * * * * | 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 | * * * * * * 12  *  *  * * * * * * * | 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 | * * * * * *  * 12  *  * * * * * * * | 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 | * * * * * *  *  * 12  * * * * * * * | 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 | * * * * * *  *  *  * 12 * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x .x .. ..    |  0  4 |  0  0  0  0  0  2  2  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 | * * * * * *  *  *  *  * * 6 * * * * | 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 | * * * * * *  *  *  *  * * * 6 * * * | 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 | * * * * * *  *  *  *  * * * * 6 * * | 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 | * * * * * *  *  *  *  * * * * * 6 * | 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 | * * * * * *  *  *  *  * * * * * * 4 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------------+-------------------------------------+-----------------------------+------------
x. x. x. ..    ♦  8  0 |  4  4  4  0  0  0  0  0  0 | 2 2 0 2 0 0  0  0  0  0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * | 1 1 0 0 0 0
x. x. .. x.    ♦  8  0 |  4  4  0  4  0  0  0  0  0 | 2 0 2 0 2 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 | * * 2 * * * * * * * * * * * | 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 | * * * 2 * * * * * * * * * * | 1 0 0 0 1 0
xx xx .. ..&#x ♦  4  4 |  2  2  0  0  4  2  2  0  0 | 1 0 0 0 0 0  2  2  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 | * * * * * 6 * * * * * * * * | 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 | * * * * * * 6 * * * * * * * | 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 | * * * * * * * 6 * * * * * * | 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 | * * * * * * * * 6 * * * * * | 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 | * * * * * * * * * 4 * * * * | 0 0 0 1 1 0
.x .x .x ..    ♦  0  8 |  0  0  0  0  0  4  4  4  0 | 0 0 0 0 0 0  0  0  0  0 2 2 0 2 0 0 | * * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.x .x .. .x    ♦  0  8 |  0  0  0  0  0  4  4  0  4 | 0 0 0 0 0 0  0  0  0  0 2 0 2 0 2 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 | * * * * * * * * * * * * 2 * | 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 | * * * * * * * * * * * * * 2 | 0 0 0 0 1 1
---------------+-------+----------------------------+-------------------------------------+-----------------------------+------------
x. x. x.3x.    ♦ 24  0 | 12 12 12 12  0  0  0  0  0 | 6 6 6 6 6 4  0  0  0  0 0 0 0 0 0 0 | 3 3 2 2 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx xx xx ..&#x ♦  8  8 |  4  4  4  0  8  4  4  4  0 | 2 2 0 2 0 0  4  4  4  0 2 2 0 2 0 0 | 1 0 0 0 2 2 0 2 0 0 1 0 0 0 | * 3 * * * *
xx xx .. xx&#x ♦  8  8 |  4  4  0  4  8  4  4  0  4 | 2 0 2 0 2 0  4  4  0  4 2 0 2 0 2 0 | 0 1 0 0 2 0 2 0 2 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 | * * * 2 * *
.. 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 | * * * * 2 *
.x .x .x3.x    ♦  0 24 |  0  0  0  0  0 12 12 12 12 | 0 0 0 0 0 0  0  0  0  0 6 6 6 6 6 4 | 0 0 0 0 0 0 0 0 0 0 3 3 2 2 | * * * * * 1