Acronym squatoe (old: squato) Name square - truncated-octahedron duoprism Circumradius sqrt(3) = 1.732051 Volume 8 sqrt(2) = 11.313708 Confer more general: n,toe-dip   uniform relative: sart   general polytopal classes: segmentotera   lace simplices Externallinks

Incidence matrix according to Dynkin symbol

```x4o x3x4o

. . . . . | 96 |  2  1  2 |  1  2  4  2  1 |  1  2  4  2 1 | 2 1 2
----------+----+----------+----------------+---------------+------
x . . . . |  2 | 96  *  * |  1  1  2  0  0 |  1  2  2  1 0 | 2 1 1
. . x . . |  2 |  * 48  * |  0  2  0  2  0 |  1  0  4  0 1 | 2 0 2
. . . x . |  2 |  *  * 96 |  0  0  2  1  1 |  0  1  2  2 1 | 1 1 2
----------+----+----------+----------------+---------------+------
x4o . . . |  4 |  4  0  0 | 24  *  *  *  * |  1  2  0  0 0 | 2 1 0
x . x . . |  4 |  2  2  0 |  * 48  *  *  * |  1  0  2  0 0 | 2 0 1
x . . x . |  4 |  2  0  2 |  *  * 96  *  * |  0  1  1  1 0 | 1 1 1
. . x3x . |  6 |  0  3  3 |  *  *  * 32  * |  0  0  2  0 1 | 1 0 2
. . . x4o |  4 |  0  0  4 |  *  *  *  * 24 |  0  0  0  2 1 | 0 1 2
----------+----+----------+----------------+---------------+------
x4o x . . ♦  8 |  8  4  0 |  2  4  0  0  0 | 12  *  *  * * | 2 0 0
x4o . x . ♦  8 |  8  0  4 |  2  0  4  0  0 |  * 24  *  * * | 1 1 0
x . x3x . ♦ 12 |  6  6  6 |  0  3  3  2  0 |  *  * 32  * * | 1 0 1
x . . x4o ♦  8 |  4  0  8 |  0  0  4  0  2 |  *  *  * 24 * | 0 1 1
. . x3x4o ♦ 24 |  0 12 24 |  0  0  0  8  6 |  *  *  *  * 4 | 0 0 2
----------+----+----------+----------------+---------------+------
x4o x3x . ♦ 24 | 24 12 12 |  6 12 12  4  0 |  3  3  4  0 0 | 8 * *
x4o . x4o ♦ 16 | 16  0 16 |  4  0 16  0  4 |  0  4  0  4 0 | * 6 *
x . x3x4o ♦ 48 | 24 24 48 |  0 12 24 16 12 |  0  0  8  6 2 | * * 4
```

```x4o x3x3x

. . . . . | 96 |  2  1  1  1 |  1  2  2  2  1  1  1 |  1  1  1  2  2  2 1 | 1 1 1 2
----------+----+-------------+----------------------+---------------------+--------
x . . . . |  2 | 96  *  *  * |  1  1  1  1  0  0  0 |  1  1  1  1  1  1 0 | 1 1 1 1
. . x . . |  2 |  * 48  *  * |  0  2  0  0  1  1  0 |  1  0  0  2  2  0 1 | 1 1 0 2
. . . x . |  2 |  *  * 48  * |  0  0  2  0  1  0  1 |  0  1  0  2  0  2 1 | 1 0 1 2
. . . . x |  2 |  *  *  * 48 |  0  0  0  2  0  1  1 |  0  0  1  0  2  2 1 | 0 1 1 2
----------+----+-------------+----------------------+---------------------+--------
x4o . . . |  4 |  4  0  0  0 | 24  *  *  *  *  *  * |  1  1  1  0  0  0 0 | 1 1 1 0
x . x . . |  4 |  2  2  0  0 |  * 48  *  *  *  *  * |  1  0  0  1  1  0 0 | 1 1 0 1
x . . x . |  4 |  2  0  2  0 |  *  * 48  *  *  *  * |  0  1  0  1  0  1 0 | 1 0 1 1
x . . . x |  4 |  2  0  0  2 |  *  *  * 48  *  *  * |  0  0  1  0  1  1 0 | 0 1 1 1
. . x3x . |  6 |  0  3  3  0 |  *  *  *  * 16  *  * |  0  0  0  2  0  0 1 | 1 0 0 2
. . x . x |  4 |  0  2  0  2 |  *  *  *  *  * 24  * |  0  0  0  0  2  0 1 | 0 1 0 2
. . . x3x |  6 |  0  0  3  3 |  *  *  *  *  *  * 16 |  0  0  0  0  0  2 1 | 0 0 1 2
----------+----+-------------+----------------------+---------------------+--------
x4o x . . ♦  8 |  8  4  0  0 |  2  4  0  0  0  0  0 | 12  *  *  *  *  * * | 1 1 0 0
x4o . x . ♦  8 |  8  0  4  0 |  2  0  4  0  0  0  0 |  * 12  *  *  *  * * | 1 0 1 0
x4o . . x ♦  8 |  8  0  0  4 |  2  0  0  4  0  0  0 |  *  * 12  *  *  * * | 0 1 1 0
x . x3x . ♦ 12 |  6  6  6  0 |  0  3  3  0  2  0  0 |  *  *  * 16  *  * * | 1 0 0 1
x . x . x ♦  8 |  4  4  0  4 |  0  2  0  2  0  2  0 |  *  *  *  * 24  * * | 0 1 0 1
x . . x3x ♦ 12 |  6  0  6  6 |  0  0  3  3  0  0  2 |  *  *  *  *  * 16 * | 0 0 1 1
. . x3x3x ♦ 24 |  0 12 12 12 |  0  0  0  0  4  6  4 |  *  *  *  *  *  * 4 | 0 0 0 2
----------+----+-------------+----------------------+---------------------+--------
x4o x3x . ♦ 24 | 24 12 12  0 |  6 12 12  0  4  0  0 |  3  3  0  4  0  0 0 | 4 * * *
x4o x . x ♦ 16 | 16  8  0  8 |  4  8  0  8  0  4  0 |  2  0  2  0  4  0 0 | * 6 * *
x4o . x3x ♦ 24 | 24  0 12 12 |  6  0 12 12  0  0  4 |  0  3  3  0  0  4 0 | * * 4 *
x . x3x3x ♦ 48 | 24 24 24 24 |  0 12 12 12  8 12  8 |  0  0  0  4  6  4 2 | * * * 4
```

```x x x3x4o

. . . . . | 96 |  1  1  1  2 |  1  1  2  1  2  2  1 |  1  2  2  1  2  1 1 | 2 1 1 1
----------+----+-------------+----------------------+---------------------+--------
x . . . . |  2 | 48  *  *  * |  1  1  2  0  0  0  0 |  1  2  2  1  0  0 0 | 2 1 1 0
. x . . . |  2 |  * 48  *  * |  1  0  0  1  2  0  0 |  1  2  0  0  2  1 0 | 2 1 0 1
. . x . . |  2 |  *  * 48  * |  0  1  0  1  0  2  0 |  1  0  2  0  2  0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 96 |  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 | 24  *  *  *  *  *  * |  1  2  0  0  0  0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 24  *  *  *  *  * |  1  0  2  0  0  0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 |  *  * 48  *  *  *  * |  0  1  1  1  0  0 0 | 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 24  *  *  * |  1  0  0  0  2  0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 |  *  *  *  * 48  *  * |  0  1  0  0  1  1 0 | 1 1 0 1
. . x3x . |  6 |  0  0  3  3 |  *  *  *  *  * 32  * |  0  0  1  0  1  0 1 | 1 0 1 1
. . . x4o |  4 |  0  0  0  4 |  *  *  *  *  *  * 24 |  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 | 12  *  *  *  *  * * | 2 0 0 0
x x . x . ♦  8 |  4  4  0  4 |  2  0  2  0  2  0  0 |  * 24  *  *  *  * * | 1 1 0 0
x . x3x . ♦ 12 |  6  0  6  6 |  0  3  3  0  0  2  0 |  *  * 16  *  *  * * | 1 0 1 0
x . . x4o ♦  8 |  4  0  0  8 |  0  0  4  0  0  0  2 |  *  *  * 12  *  * * | 0 1 1 0
. x x3x . ♦ 12 |  0  6  6  6 |  0  0  0  3  3  2  0 |  *  *  *  * 16  * * | 1 0 0 1
. x . x4o ♦  8 |  0  4  0  8 |  0  0  0  0  4  0  2 |  *  *  *  *  * 12 * | 0 1 0 1
. . x3x4o ♦ 24 |  0  0 12 24 |  0  0  0  0  0  8  6 |  *  *  *  *  *  * 4 | 0 0 1 1
----------+----+-------------+----------------------+---------------------+--------
x x x3x . ♦ 24 | 12 12 12 12 |  6  6  6  6  6  4  0 |  3  3  2  0  2  0 0 | 8 * * *
x x . x4o ♦ 16 |  8  8  0 16 |  4  0  8  0  8  0  4 |  0  4  0  2  0  2 0 | * 6 * *
x . x3x4o ♦ 48 | 24  0 24 48 |  0 12 24  0  0 16 12 |  0  0  8  6  0  0 2 | * * 2 *
. x x3x4o ♦ 48 |  0 24 24 48 |  0  0  0 12 24 16 12 |  0  0  0  0  8  6 2 | * * * 2
```

```x x x3x3x

. . . . . | 96 |  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 | 48  *  *  *  * |  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 |  * 48  *  *  * |  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 |  *  * 48  *  * |  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 |  *  *  * 48  * |  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 |  *  *  *  * 48 |  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 . . . |  6 |  3  3  0  0  0 | 24  *  *  *  *  *  *  *  *  * |  1  1  1 0  0 0 0  0 0 0 | 1 1 1 0 0
x . x . . |  4 |  2  0  2  0  0 |  * 24  *  *  *  *  *  *  *  * |  1  0  0 1  1 0 0  0 0 0 | 1 1 0 1 0
x . . x . |  4 |  2  0  0  2  0 |  *  * 24  *  *  *  *  *  *  * |  0  1  0 1  0 1 0  0 0 0 | 1 0 1 1 0
x . . . x |  4 |  2  0  0  0  2 |  *  *  * 24  *  *  *  *  *  * |  0  0  1 0  1 1 0  0 0 0 | 0 1 1 1 0
. x x . . |  4 |  0  2  2  0  0 |  *  *  *  * 24  *  *  *  *  * |  1  0  0 0  0 0 1  1 0 0 | 1 1 0 0 1
. x . x . |  4 |  0  2  0  2  0 |  *  *  *  *  * 24  *  *  *  * |  0  1  0 0  0 0 1  0 1 0 | 1 0 1 0 1
. x . . x |  4 |  0  2  0  0  2 |  *  *  *  *  *  * 24  *  *  * |  0  0  1 0  0 0 0  1 1 0 | 0 1 1 0 1
. . x3x . |  6 |  0  0  3  3  0 |  *  *  *  *  *  *  * 16  *  * |  0  0  0 1  0 0 1  0 0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  0  2 |  *  *  *  *  *  *  *  * 24  * |  0  0  0 0  1 0 0  1 0 1 | 0 1 0 1 1
. . . x3x |  6 |  0  0  0  3  3 |  *  *  *  *  *  *  *  *  * 16 |  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 | 12  *  * *  * * *  * * * | 1 1 0 0 0
x x . x . ♦  8 |  4  4  0  4  0 |  2  0  2  0  0  2  0  0  0  0 |  * 12  * *  * * *  * * * | 1 0 1 0 0
x x . . x ♦  8 |  4  4  0  0  4 |  2  0  0  2  0  0  2  0  0  0 |  *  * 12 *  * * *  * * * | 0 1 1 0 0
x . x3x . ♦ 12 |  6  0  6  6  0 |  0  3  3  0  0  0  0  2  0  0 |  *  *  * 8  * * *  * * * | 1 0 0 1 0
x . x . x ♦  8 |  4  0  4  0  4 |  0  2  0  2  0  0  0  0  2  0 |  *  *  * * 12 * *  * * * | 0 1 0 1 0
x . . x3x ♦ 12 |  6  0  0  6  6 |  0  0  3  3  0  0  0  0  0  2 |  *  *  * *  * 8 *  * * * | 0 0 1 1 0
. x x3x . ♦ 12 |  0  6  6  6  0 |  0  0  0  0  3  3  0  2  0  0 |  *  *  * *  * * 8  * * * | 1 0 0 0 1
. x x . x ♦  8 |  0  4  4  0  4 |  0  0  0  0  2  0  2  0  2  0 |  *  *  * *  * * * 12 * * | 0 1 0 0 1
. x . x3x ♦ 12 |  0  6  0  6  6 |  0  0  0  0  0  3  3  0  0  2 |  *  *  * *  * * *  * 8 * | 0 0 1 0 1
. . x3x3x ♦ 24 |  0  0 12 12 12 |  0  0  0  0  0  0  0  4  6  4 |  *  *  * *  * * *  * * 4 | 0 0 0 1 1
----------+----+----------------+-------------------------------+--------------------------+----------
x x x3x . ♦ 24 | 12 12 12 12  0 |  6  6  6  0  6  6  0  4  0  0 |  3  3  0 2  0 0 2  0 0 0 | 4 * * * *
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 | * 6 * * *
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 | * * 4 * *
x . x3x3x ♦ 48 | 24  0 24 24 24 |  0 12 12 12  0  0  0  8 12  8 |  0  0  0 4  6 4 0  0 0 2 | * * * 2 *
. x x3x3x ♦ 48 |  0 24 24 24 24 |  0  0  0  0 12 12 12  8 12  8 |  0  0  0 0  0 0 4  6 4 2 | * * * * 2
```

```xx xx3xx4oo&#x   → height = 1
(tope || tope)

o. o.3o.4o.    | 48  * |  1  1  2  1  0  0  0 |  1  2  2  1  1  1  2  0  0  0  0 | 2 1 1  1  2  2  1 0 0 0 | 1 2 1 1 0
.o .o3.o4.o    |  * 48 |  0  0  0  1  1  1  2 |  0  0  0  0  1  1  2  1  2  2  1 | 0 0 0  1  2  2  1 2 1 1 | 0 2 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. .. .. ..    |  2  0 | 24  *  *  *  *  *  * |  1  2  0  0  1  0  0  0  0  0  0 | 2 1 0  1  2  0  0 0 0 0 | 1 2 1 0 0
.. x. .. ..    |  2  0 |  * 24  *  *  *  *  * |  1  0  2  0  0  1  0  0  0  0  0 | 2 0 1  1  0  2  0 0 0 0 | 1 2 0 1 0
.. .. x. ..    |  2  0 |  *  * 48  *  *  *  * |  0  1  1  1  0  0  1  0  0  0  0 | 1 1 1  0  1  1  1 0 0 0 | 1 1 1 1 0
oo oo3oo4oo&#x |  1  1 |  *  *  * 48  *  *  * |  0  0  0  0  1  1  2  0  0  0  0 | 0 0 0  1  2  2  1 0 0 0 | 0 2 1 1 0
.x .. .. ..    |  0  2 |  *  *  *  * 24  *  * |  0  0  0  0  1  0  0  1  2  0  0 | 0 0 0  1  2  0  0 2 1 0 | 0 2 1 0 1
.. .x .. ..    |  0  2 |  *  *  *  *  * 24  * |  0  0  0  0  0  1  0  1  0  2  0 | 0 0 0  1  0  2  0 2 0 1 | 0 2 0 1 1
.. .. .x ..    |  0  2 |  *  *  *  *  *  * 48 |  0  0  0  0  0  0  1  0  1  1  1 | 0 0 0  0  1  1  1 1 1 1 | 0 1 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. x. .. ..    |  4  0 |  2  2  0  0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  * | 2 0 0  1  0  0  0 0 0 0 | 1 2 0 0 0
x. .. x. ..    |  4  0 |  2  0  2  0  0  0  0 |  * 24  *  *  *  *  *  *  *  *  * | 1 1 0  0  1  0  0 0 0 0 | 1 1 1 0 0
.. x.3x. ..    |  6  0 |  0  3  3  0  0  0  0 |  *  * 16  *  *  *  *  *  *  *  * | 1 0 1  0  0  1  0 0 0 0 | 1 1 0 1 0
.. .. x.4o.    |  4  0 |  0  0  4  0  0  0  0 |  *  *  * 12  *  *  *  *  *  *  * | 0 1 1  0  0  0  1 0 0 0 | 1 0 1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0  2  1  0  0 |  *  *  *  * 24  *  *  *  *  *  * | 0 0 0  1  2  0  0 0 0 0 | 0 2 1 0 0
.. xx .. ..&#x |  2  2 |  0  1  0  2  0  1  0 |  *  *  *  *  * 24  *  *  *  *  * | 0 0 0  1  0  2  0 0 0 0 | 0 2 0 1 0
.. .. xx ..&#x |  2  2 |  0  0  1  2  0  0  1 |  *  *  *  *  *  * 48  *  *  *  * | 0 0 0  0  1  1  1 0 0 0 | 0 1 1 1 0
.x .x .. ..    |  0  4 |  0  0  0  0  2  2  0 |  *  *  *  *  *  *  * 12  *  *  * | 0 0 0  1  0  0  0 2 0 0 | 0 2 0 0 1
.x .. .x ..    |  0  4 |  0  0  0  0  2  0  2 |  *  *  *  *  *  *  *  * 24  *  * | 0 0 0  0  1  0  0 1 1 0 | 0 1 1 0 1
.. .x3.x ..    |  0  6 |  0  0  0  0  0  3  3 |  *  *  *  *  *  *  *  *  * 16  * | 0 0 0  0  0  1  0 1 0 1 | 0 1 0 1 1
.. .. .x4.o    |  0  4 |  0  0  0  0  0  0  4 |  *  *  *  *  *  *  *  *  *  * 12 | 0 0 0  0  0  0  1 0 1 1 | 0 0 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. x.3x. ..    ♦ 12  0 |  6  6  6  0  0  0  0 |  3  3  2  0  0  0  0  0  0  0  0 | 8 * *  *  *  *  * * * * | 1 1 0 0 0
x. .. x.4o.    ♦  8  0 |  4  0  8  0  0  0  0 |  0  4  0  2  0  0  0  0  0  0  0 | * 6 *  *  *  *  * * * * | 1 0 1 0 0
.. x.3x.4o.    ♦ 24  0 |  0 12 24  0  0  0  0 |  0  0  8  6  0  0  0  0  0  0  0 | * * 2  *  *  *  * * * * | 1 0 0 1 0
xx xx .. ..&#x ♦  4  4 |  2  2  0  4  2  2  0 |  1  0  0  0  2  2  0  1  0  0  0 | * * * 12  *  *  * * * * | 0 2 0 0 0
xx .. xx ..&#x ♦  4  4 |  2  0  2  4  2  0  2 |  0  1  0  0  2  0  2  0  1  0  0 | * * *  * 24  *  * * * * | 0 1 1 0 0
.. xx3xx ..&#x ♦  6  6 |  0  3  3  6  0  3  3 |  0  0  1  0  0  3  3  0  0  1  0 | * * *  *  * 16  * * * * | 0 1 0 1 0
.. .. xx4oo&#x ♦  4  4 |  0  0  4  4  0  0  4 |  0  0  0  1  0  0  4  0  0  0  1 | * * *  *  *  * 12 * * * | 0 0 1 1 0
.x .x3.x ..    ♦  0 12 |  0  0  0  0  6  6  6 |  0  0  0  0  0  0  0  3  3  2  0 | * * *  *  *  *  * 8 * * | 0 1 0 0 1
.x .. .x4.o    ♦  0  8 |  0  0  0  0  4  0  8 |  0  0  0  0  0  0  0  0  4  0  2 | * * *  *  *  *  * * 6 * | 0 0 1 0 1
.. .x3.x4.o    ♦  0 24 |  0  0  0  0  0 12 24 |  0  0  0  0  0  0  0  0  0  8  6 | * * *  *  *  *  * * * 2 | 0 0 0 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. x.3x.4o.    ♦  48  0 | 24 24 48  0  0  0  0 | 12 24 16 12  0  0  0  0  0  0  0 | 8 6 2  0  0  0  0 0 0 0 | 1 * * * *
xx xx3xx ..&#x ♦ 12 12 |  6  6  6 12  6  6  6 |  3  3  2  0  6  6  6  3  3  2  0 | 1 0 0  3  3  2  0 1 0 0 | * 8 * * *
xx .. xx4oo&#x ♦  8  8 |  4  0  8  8  4  0  8 |  0  4  0  2  4  0  8  0  4  0  2 | 0 1 0  0  4  0  2 0 1 0 | * * 6 * *
.. xx3xx4oo&#x ♦ 24 24 |  0 12 24 24  0 12 24 |  0  0  8  6  0 12 24  0  0  8  6 | 0 0 1  0  0  8  6 0 0 1 | * * * 2 *
.x .x3.x4.o    ♦   0 48 |  0  0  0  0 24 24 48 |  0  0  0  0  0  0  0 12 24 16 12 | 0 0 0  0  0  0  0 8 6 2 | * * * * 1
```

```xx xx3xx3xx&#x   → height = 1
(tope || tope)

o. o.3o.3o.    | 48  * |  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 .o3.o3.o    |  * 48 |  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 | 24  *  *  *  *  *  *  *  * |  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 |  * 24  *  *  *  *  *  *  * |  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 |  *  * 24  *  *  *  *  *  * |  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 |  *  *  * 24  *  *  *  *  * |  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
oo oo3oo3oo&#x |  1  1 |  *  *  *  * 48  *  *  *  * |  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 |  *  *  *  *  * 24  *  *  * |  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 |  *  *  *  *  *  * 24  *  * |  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 |  *  *  *  *  *  *  * 24  * |  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 |  *  *  *  *  *  *  *  * 24 |  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 | 12  *  * *  * *  *  *  *  *  *  *  * *  * * | 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 |  * 12  * *  * *  *  *  *  *  *  *  * *  * * | 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 |  *  * 12 *  * *  *  *  *  *  *  *  * *  * * | 0 1 1 0  0  0  1 0  0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3x. ..    |  6  0 |  0  3  3  0  0  0  0  0  0 |  *  *  * 8  * *  *  *  *  *  *  *  * *  * * | 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 |  *  *  * * 12 *  *  *  *  *  *  *  * *  * * | 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 |  *  *  * *  * 8  *  *  *  *  *  *  * *  * * | 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 |  *  *  * *  * * 24  *  *  *  *  *  * *  * * | 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 |  *  *  * *  * *  * 24  *  *  *  *  * *  * * | 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 |  *  *  * *  * *  *  * 24  *  *  *  * *  * * | 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 |  *  *  * *  * *  *  *  * 24  *  *  * *  * * | 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 |  *  *  * *  * *  *  *  *  * 12  *  * *  * * | 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 |  *  *  * *  * *  *  *  *  *  * 12  * *  * * | 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 |  *  *  * *  * *  *  *  *  *  *  * 12 *  * * | 0 0 0 0  0  0  1 0  0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.x ..    |  0  6 |  0  0  0  0  0  0  3  3  0 |  *  *  * *  * *  *  *  *  *  *  *  * 8  * * | 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 |  *  *  * *  * *  *  *  *  *  *  *  * * 12 * | 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 |  *  *  * *  * *  *  *  *  *  *  *  * *  * 8 | 0 0 0 0  0  0  0 0  0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------------+---------------------------------------------+---------------------------------+------------
x. x.3x. ..    ♦ 12  0 |  6  6  6  0  0  0  0  0  0 |  3  3  0 2  0 0  0  0  0  0  0  0  0 0  0 0 | 4 * * *  *  *  * *  * * * * * * | 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 | * 6 * *  *  *  * *  * * * * * * | 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 | * * 4 *  *  *  * *  * * * * * * | 1 0 0 1 0 0
.. x.3x.3x.    ♦ 24  0 |  0 12 12 12  0  0  0  0  0 |  0  0  0 4  6 4  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 | * * * * 12  *  * *  * * * * * * | 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 | * * * *  * 12  * *  * * * * * * | 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 | * * * *  *  * 12 *  * * * * * * | 0 0 1 1 0 0
.. xx3xx ..&#x ♦  6  6 |  0  3  3  0  6  0  3  3  0 |  0  0  0 1  0 0  0  3  3  0  0  0  0 1  0 0 | * * * *  *  *  * 8  * * * * * * | 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 | * * * *  *  *  * * 12 * * * * * | 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 | * * * *  *  *  * *  * 8 * * * * | 0 0 0 1 1 0
.x .x3.x ..    ♦  0 12 |  0  0  0  0  0  6  6  6  0 |  0  0  0 0  0 0  0  0  0  0  3  3  0 2  0 0 | * * * *  *  *  * *  * * 4 * * * | 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 | * * * *  *  *  * *  * * * 6 * * | 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 | * * * *  *  *  * *  * * * * 4 * | 0 0 0 1 0 1
.. .x3.x3.x    ♦  0 24 |  0  0  0  0  0  0 12 12 12 |  0  0  0 0  0 0  0  0  0  0  0  0  0 4  6 4 | * * * *  *  *  * *  * * * * * 2 | 0 0 0 0 1 1
---------------+-------+----------------------------+---------------------------------------------+---------------------------------+------------
x. x.3x.3x.    ♦ 48  0 | 24 24 24 24  0  0  0  0  0 | 12 12 12 8 12 8  0  0  0  0  0  0  0 0  0 0 | 4 6 4 2  0  0  0 0  0 0 0 0 0 0 | 1 * * * * *
xx xx3xx ..&#x ♦ 12 12 |  6  6  6  0 12  6  6  6  0 |  3  3  0 2  0 0  6  6  6  0  3  3  0 2  0 0 | 1 0 0 0  3  3  0 2  0 0 1 0 0 0 | * 4 * * * *
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 | * * 6 * * *
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 | * * * 4 * *
.. xx3xx3xx&#x ♦ 24 24 |  0 12 12 12 24  0 12 12 12 |  0  0  0 4  6 4  0 12 12 12  0  0  0 4  6 4 | 0 0 0 1  0  0  0 4  6 4 0 0 0 1 | * * * * 2 *
.x .x3.x3.x    ♦  0 48 |  0  0  0  0  0 24 24 24 24 |  0  0  0 0  0 0  0  0  0  0 12 12 12 8 12 8 | 0 0 0 0  0  0  0 0  0 0 4 6 4 2 | * * * * * 1
```