Acronym ax (old: hexe)
Name hexeract,
dodecapeton,
6D measure-polytope6),
geopeton
Circumradius sqrt(3/2) = 1.224745
Vertex layers
 Layer Symmetry Subsymmetries o3o3o3o3o4o o3o3o3o . . o3o3o3o4o 1 o3o3o3o3o4x o3o3o3o .vertex first . o3o3o3o4xpent first 2 o3o3o3o3q .vertex figure . o3o3o3o4xopposite pent 3 o3o3o3q3o . 4 o3o3q3o3o . 5 o3q3o3o3o . 6 q3o3o3o3o . 7 o3o3o3o3o .opposite vertex
Coordinates (1/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all changes of sign
Dual gee
Confer
general duoprisms:
n,tes-dip
general triprisms:
n,m,k-tip
general polytopal classes:
hypercube
External

Incidence matrix according to Dynkin symbol

```o3o3o3o3o4x

. . . . . . | 64 ♦   6 |  15 |  20 | 15 |  6
------------+----+-----+-----+-----+----+---
. . . . . x |  2 | 192 ♦   5 |  10 | 10 |  5
------------+----+-----+-----+-----+----+---
. . . . o4x |  4 |   4 | 240 ♦   4 |  6 |  4
------------+----+-----+-----+-----+----+---
. . . o3o4x ♦  8 |  12 |   6 | 160 |  3 |  3
------------+----+-----+-----+-----+----+---
. . o3o3o4x ♦ 16 |  32 |  24 |   8 | 60 |  2
------------+----+-----+-----+-----+----+---
. o3o3o3o4x ♦ 32 |  80 |  80 |  40 | 10 | 12
```

```o3o4x o3o4x

. . . . . . | 64 ♦  3  3 |  3   9  3 | 1  9  9 1 |  3  9  3 | 3 3
------------+----+-------+-----------+-----------+----------+----
. . x . . . |  2 | 96  * ♦  2   3  0 | 1  6  3 0 |  3  6  1 | 3 2
. . . . . x |  2 |  * 96 ♦  0   3  2 | 0  3  6 1 |  1  6  3 | 2 3
------------+----+-------+-----------+-----------+----------+----
. o4x . . . |  4 |  4  0 | 48   *  * ♦ 1  3  0 0 |  3  3  0 | 3 1
. . x . . x |  4 |  2  2 |  * 144  * ♦ 0  2  2 0 |  1  4  1 | 2 2
. . . . o4x |  4 |  0  4 |  *   * 48 ♦ 0  0  3 1 |  0  3  3 | 1 3
------------+----+-------+-----------+-----------+----------+----
o3o4x . . . ♦  8 | 12  0 |  6   0  0 | 8  *  * * |  3  0  0 | 3 0
. o4x . . x ♦  8 |  8  4 |  2   4  0 | * 72  * * |  1  2  0 | 2 1
. . x . o4x ♦  8 |  4  8 |  0   4  2 | *  * 72 * |  0  2  1 | 1 2
. . . o3o4x ♦  8 |  0 12 |  0   0  6 | *  *  * 8 |  0  0  3 | 0 3
------------+----+-------+-----------+-----------+----------+----
o3o4x . . x ♦ 16 | 24  8 | 12  12  0 | 2  6  0 0 | 12  *  * | 2 0
. o4x . o4x ♦ 16 | 16 16 |  4  16  4 | 0  4  4 0 |  * 36  * | 1 1
. . x o3o4x ♦ 16 |  8 24 |  0  12 12 | 0  0  6 2 |  *  * 12 | 0 2
------------+----+-------+-----------+-----------+----------+----
o3o4x . o4x ♦ 32 | 48 32 | 24  48  8 | 4 24 12 0 |  4  6  0 | 6 *
. o4x o3o4x ♦ 32 | 32 48 |  8  48 24 | 0 12 24 4 |  0  6  4 | * 6
```

```o4x o3o3o4x

. . . . . . | 64 ♦  2   4 |  1   8  6 |  4 12  4 |  6  8 1 | 4 2
------------+----+--------+-----------+----------+---------+----
. x . . . . |  2 | 64   * ♦  1   4  0 |  4  6  0 |  6  4 0 | 4 1
. . . . . x |  2 |  * 128 ♦  0   2  3 |  1  6  3 |  3  6 1 | 3 2
------------+----+--------+-----------+----------+---------+----
o4x . . . . |  4 |  4   0 | 16   *  * ♦  4  0  0 |  6  0 0 | 4 0
. x . . . x |  4 |  2   2 |  * 128  * ♦  1  3  0 |  3  3 0 | 3 1
. . . . o4x |  4 |  0   4 |  *   * 96 ♦  0  2  2 |  1  4 1 | 2 2
------------+----+--------+-----------+----------+---------+----
o4x . . . x ♦  8 |  8   4 |  2   4  0 | 32  *  * |  3  0 0 | 3 0
. x . . o4x ♦  8 |  4   8 |  0   4  2 |  * 96  * |  1  2 0 | 2 1
. . . o3o4x ♦  8 |  0  12 |  0   0  6 |  *  * 32 |  0  2 1 | 1 2
------------+----+--------+-----------+----------+---------+----
o4x . . o4x ♦ 16 | 16  16 |  4  16  4 |  4  4  0 | 24  * * | 2 0
. x . o3o4x ♦ 16 |  8  24 |  0  12 12 |  0  6  2 |  * 32 * | 1 1
. . o3o3o4x ♦ 16 |  0  32 |  0   0 24 |  0  0  8 |  *  * 4 | 0 2
------------+----+--------+-----------+----------+---------+----
o4x . o3o4x ♦ 32 | 32  48 |  8  48 24 | 12 24  4 |  6  4 0 | 8 *
. x o3o3o4x ♦ 32 | 16  64 |  0  32 48 |  0 24 16 |  0  8 2 | * 4
```

```o4x o4x o4x

. . . . . . | 64 ♦  2  2  2 |  1  4  4  1  4  1 |  2  2  2  8  2  2  2 | 1  4 1  4  4 1 | 2 2 2
------------+----+----------+-------------------+----------------------+----------------+------
. x . . . . |  2 | 64  *  * ♦  1  2  2  0  0  0 |  2  2  1  4  1  0  0 | 1  4 1  2  2 0 | 2 2 1
. . . x . . |  2 |  * 64  * ♦  0  2  0  1  2  0 |  1  0  2  4  0  2  1 | 1  2 0  4  2 1 | 2 1 2
. . . . . x |  2 |  *  * 64 ♦  0  0  2  0  2  1 |  0  1  0  4  2  1  2 | 0  2 1  2  4 1 | 1 2 2
------------+----+----------+-------------------+----------------------+----------------+------
o4x . . . . |  4 |  4  0  0 | 16  *  *  *  *  * ♦  2  2  0  0  0  0  0 | 1  4 1  0  0 0 | 2 2 0
. x . x . . |  4 |  2  2  0 |  * 64  *  *  *  * ♦  1  0  1  2  0  0  0 | 1  2 0  2  1 0 | 2 1 1
. x . . . x |  4 |  2  0  2 |  *  * 64  *  *  * ♦  0  1  0  2  1  0  0 | 0  2 1  1  2 0 | 1 2 1
. . o4x . . |  4 |  0  4  0 |  *  *  * 16  *  * ♦  0  0  2  0  0  2  0 | 1  0 0  4  0 1 | 2 0 2
. . . x . x |  4 |  0  2  2 |  *  *  *  * 64  * ♦  0  0  0  2  0  1  1 | 0  1 0  2  2 1 | 1 1 2
. . . . o4x |  4 |  0  0  4 |  *  *  *  *  * 16 ♦  0  0  0  0  2  0  2 | 0  0 1  0  4 1 | 0 2 2
------------+----+----------+-------------------+----------------------+----------------+------
o4x . x . . ♦  8 |  8  4  0 |  2  4  0  0  0  0 | 16  *  *  *  *  *  * | 1  2 0  0  0 0 | 2 1 0
o4x . . . x ♦  8 |  8  0  4 |  2  0  4  0  0  0 |  * 16  *  *  *  *  * | 0  2 1  0  0 0 | 1 2 0
. x o4x . . ♦  8 |  4  8  0 |  0  4  0  2  0  0 |  *  * 16  *  *  *  * | 1  0 0  2  0 0 | 2 0 1
. x . x . x ♦  8 |  4  4  4 |  0  2  2  0  2  0 |  *  *  * 64  *  *  * | 0  1 0  1  1 0 | 1 1 1
. x . . o4x ♦  8 |  4  0  8 |  0  0  4  0  0  2 |  *  *  *  * 16  *  * | 0  0 1  0  2 0 | 0 2 1
. . o4x . x ♦  8 |  0  8  4 |  0  0  0  2  4  0 |  *  *  *  *  * 16  * | 0  0 0  2  0 1 | 1 0 2
. . . x o4x ♦  8 |  0  4  8 |  0  0  0  0  4  2 |  *  *  *  *  *  * 16 | 0  0 0  0  2 1 | 0 1 2
------------+----+----------+-------------------+----------------------+----------------+------
o4x o4x . . ♦ 16 | 16 16  0 |  4 16  0  4  0  0 |  4  0  4  0  0  0  0 | 4  * *  *  * * | 2 0 0
o4x . x . x ♦ 16 | 16  8  8 |  4  8  8  0  4  0 |  2  2  0  4  0  0  0 | * 16 *  *  * * | 1 1 0
o4x . . o4x ♦ 16 | 16  0 16 |  4  0 16  0  0  4 |  0  4  0  0  4  0  0 | *  * 4  *  * * | 0 2 0
. x o4x . x ♦ 16 |  8 16  8 |  0  8  4  4  8  0 |  0  0  2  4  0  2  0 | *  * * 16  * * | 1 0 1
. x . x o4x ♦ 16 |  8  8 16 |  0  4  8  0  8  4 |  0  0  0  4  2  0  2 | *  * *  * 16 * | 0 1 1
. . o4x o4x ♦ 16 |  0 16 16 |  0  0  0  4 16  4 |  0  0  0  0  0  4  4 | *  * *  *  * 4 | 0 0 2
------------+----+----------+-------------------+----------------------+----------------+------
o4x o4x . x ♦ 32 | 32 32 16 |  8 32 16  8 16  0 |  8  4  8 16  0  4  0 | 2  4 0  4  0 0 | 4 * *
o4x . x o4x ♦ 32 | 32 16 32 |  8 16 32  0 16  8 |  4  8  0 16  8  0  4 | 0  4 2  0  4 0 | * 4 *
. x o4x o4x ♦ 32 | 16 32 32 |  0 16 16  8 32  8 |  0  0  4 16  4  8  8 | 0  0 0  4  4 2 | * * 4
```

```x o3o3o3o4x

. . . . . . | 64 ♦  1   5 |  5  10 | 10 10 | 10  5 |  5 1
------------+----+--------+--------+-------+-------+-----
x . . . . . |  2 | 32   * ♦  5   0 | 10  0 | 10  0 |  5 0
. . . . . x |  2 |  * 160 ♦  1   4 |  4  6 |  6  4 |  4 1
------------+----+--------+--------+-------+-------+-----
x . . . . x |  4 |  2   2 | 80   * ♦  4  0 |  6  0 |  4 0
. . . . o4x |  4 |  0   4 |  * 160 ♦  1  3 |  3  3 |  3 1
------------+----+--------+--------+-------+-------+-----
x . . . o4x ♦  8 |  4   8 |  4   2 | 80  * |  3  0 |  3 0
. . . o3o4x ♦  8 |  0  12 |  0   6 |  * 80 |  1  2 |  2 1
------------+----+--------+--------+-------+-------+-----
x . . o3o4x ♦ 16 |  8  24 | 12  12 |  6  2 | 40  * |  2 0
. . o3o3o4x ♦ 16 |  0  32 |  0  24 |  0  8 |  * 20 |  1 1
------------+----+--------+--------+-------+-------+-----
x . o3o3o4x ♦ 32 | 16  64 | 32  48 | 24 16 |  8  2 | 10 *
. o3o3o3o4x ♦ 32 |  0  80 |  0  80 |  0 40 |  0 10 |  * 2
```

```x o4x o3o4x

. . . . . . | 64 ♦  1  2  3 |  2  3  1  6  3 | 1  6  3  3  6 1 |  3  6 1  3 2 | 3 2 1
------------+----+----------+----------------+-----------------+--------------+------
x . . . . . |  2 | 32  *  * ♦  2  3  0  0  0 | 1  6  3  0  0 0 |  3  6 1  0 0 | 3 2 0
. . x . . . |  2 |  * 64  * ♦  1  0  1  3  0 | 1  3  0  3  3 0 |  3  3 0  3 1 | 3 1 1
. . . . . x |  2 |  *  * 96 ♦  0  1  0  2  2 | 0  2  2  1  4 1 |  1  4 1  2 2 | 2 2 1
------------+----+----------+----------------+-----------------+--------------+------
x . x . . . |  4 |  2  2  0 | 32  *  *  *  * ♦ 1  3  0  0  0 0 |  3  3 0  0 0 | 3 1 0
x . . . . x |  4 |  2  0  2 |  * 48  *  *  * ♦ 0  2  2  0  0 0 |  1  4 1  0 0 | 2 2 0
. o4x . . . |  4 |  0  4  0 |  *  * 16  *  * ♦ 1  0  0  3  0 0 |  3  0 0  3 0 | 3 0 1
. . x . . x |  4 |  0  2  2 |  *  *  * 96  * ♦ 0  1  0  1  2 0 |  1  2 0  2 1 | 2 1 1
. . . . o4x |  4 |  0  0  4 |  *  *  *  * 48 ♦ 0  0  1  0  2 1 |  0  2 1  1 2 | 1 2 1
------------+----+----------+----------------+-----------------+--------------+------
x o4x . . . ♦  8 |  4  8  0 |  4  0  2  0  0 | 8  *  *  *  * * |  3  0 0  0 0 | 3 0 0
x . x . . x ♦  8 |  4  4  4 |  2  2  0  2  0 | * 48  *  *  * * |  1  2 0  0 0 | 2 1 0
x . . . o4x ♦  8 |  4  0  8 |  0  4  0  0  2 | *  * 24  *  * * |  0  2 1  0 0 | 1 2 0
. o4x . . x ♦  8 |  0  8  4 |  0  0  2  4  0 | *  *  * 24  * * |  1  0 0  2 0 | 2 0 1
. . x . o4x ♦  8 |  0  4  8 |  0  0  0  4  2 | *  *  *  * 48 * |  0  1 0  1 1 | 1 1 1
. . . o3o4x ♦  8 |  0  0 12 |  0  0  0  0  6 | *  *  *  *  * 8 |  0  0 1  0 2 | 0 2 1
------------+----+----------+----------------+-----------------+--------------+------
x o4x . . x ♦ 16 |  8 16  8 |  8  4  4  8  0 | 2  4  0  2  0 0 | 12  * *  * * | 2 0 0
x . x . o4x ♦ 16 |  8  8 16 |  4  8  0  8  4 | 0  4  2  0  2 0 |  * 24 *  * * | 1 1 0
x . . o3o4x ♦ 16 |  8  0 24 |  0 12  0  0 12 | 0  0  6  0  0 2 |  *  * 4  * * | 0 2 0
. o4x . o4x ♦ 16 |  0 16 16 |  0  0  4 16  4 | 0  0  0  4  4 0 |  *  * * 12 * | 1 0 1
. . x o3o4x ♦ 16 |  0  8 24 |  0  0  0 12 12 | 0  0  0  0  6 2 |  *  * *  * 8 | 0 1 1
------------+----+----------+----------------+-----------------+--------------+------
x o4x . o4x ♦ 32 | 16 32 32 | 16 16  8 32  8 | 4 16  4  8  8 0 |  4  4 0  2 0 | 6 * *
x . x o3o4x ♦ 32 | 16 16 48 |  8 24  0 24 24 | 0 12 12  0 12 4 |  0  6 2  0 2 | * 4 *
. o4x o3o4x ♦ 32 |  0 32 48 |  0  0  8 48 24 | 0  0  0 12 24 4 |  0  0 0  6 4 | * * 2
```

```x x o3o3o4x

. . . . . . | 64 ♦  1  1   4 |  1  4  4  6 |  4  6  6  4 |  6  4  4 1 | 4 1 1
------------+----+-----------+-------------+-------------+------------+------
x . . . . . |  2 | 32  *   * ♦  1  4  0  0 |  4  6  0  0 |  6  4  0 0 | 4 1 0
. x . . . . |  2 |  * 32   * ♦  1  0  4  0 |  4  0  6  0 |  6  0  4 0 | 4 0 1
. . . . . x |  2 |  *  * 128 ♦  0  1  1  3 |  1  3  3  3 |  3  3  3 1 | 3 1 1
------------+----+-----------+-------------+-------------+------------+------
x x . . . . |  4 |  2  2   0 | 16  *  *  * ♦  4  0  0  0 |  6  0  0 0 | 4 0 0
x . . . . x |  4 |  2  0   2 |  * 64  *  * ♦  1  3  0  0 |  3  3  0 0 | 3 1 0
. x . . . x |  4 |  0  2   2 |  *  * 64  * ♦  1  0  3  0 |  3  0  3 0 | 3 0 1
. . . . o4x |  4 |  0  0   4 |  *  *  * 96 ♦  0  1  1  2 |  1  2  2 1 | 2 1 1
------------+----+-----------+-------------+-------------+------------+------
x x . . . x ♦  8 |  4  4   4 |  2  2  2  0 | 32  *  *  * |  3  0  0 0 | 3 0 0
x . . . o4x ♦  8 |  4  0   8 |  0  4  0  2 |  * 48  *  * |  1  2  0 0 | 2 1 0
. x . . o4x ♦  8 |  0  4   8 |  0  0  4  2 |  *  * 48  * |  1  0  2 0 | 2 0 1
. . . o3o4x ♦  8 |  0  0  12 |  0  0  0  6 |  *  *  * 32 |  0  1  1 1 | 1 1 1
------------+----+-----------+-------------+-------------+------------+------
x x . . o4x ♦ 16 |  8  8  16 |  4  8  8  4 |  4  2  2  0 | 24  *  * * | 2 0 0
x . . o3o4x ♦ 16 |  8  0  24 |  0 12  0 12 |  0  6  0  2 |  * 16  * * | 1 1 0
. x . o3o4x ♦ 16 |  0  8  24 |  0  0 12 12 |  0  0  6  2 |  *  * 16 * | 1 0 1
. . o3o3o4x ♦ 16 |  0  0  32 |  0  0  0 24 |  0  0  0  8 |  *  *  * 4 | 0 1 1
------------+----+-----------+-------------+-------------+------------+------
x x . o3o4x ♦ 32 | 16 16  48 |  8 24 24 24 | 12 12 12  4 |  6  2  2 0 | 8 * *
x . o3o3o4x ♦ 32 | 16  0  64 |  0 32  0 48 |  0 24  0 16 |  0  8  0 2 | * 2 *
. x o3o3o4x ♦ 32 |  0 16  64 |  0  0 32 48 |  0  0 24 16 |  0  0  8 2 | * * 2
```

```x x o4x o4x

. . . . . . | 64 ♦  1  1  2  2 |  1  2  2  2  2  1  4  1 |  2  2 1  4 1 1  4 1  2  2 | 1  4 1 2 2 2 2 1 | 2 2 1 1
------------+----+-------------+-------------------------+---------------------------+------------------+--------
x . . . . . |  2 | 32  *  *  * ♦  1  2  2  0  0  0  0  0 |  2  2 1  4 1 0  0 0  0  0 | 1  4 1 2 2 0 0 0 | 2 2 1 0
. x . . . . |  2 |  * 32  *  * ♦  1  0  0  2  2  0  0  0 |  2  2 0  0 0 1  4 1  0  0 | 1  4 1 0 0 2 2 0 | 2 2 0 1
. . . x . . |  2 |  *  * 64  * ♦  0  1  0  1  0  1  2  0 |  1  0 1  2 0 1  2 0  2  1 | 1  2 0 2 1 2 1 1 | 2 1 1 1
. . . . . x |  2 |  *  *  * 64 ♦  0  0  1  0  1  0  2  1 |  0  1 0  2 1 0  2 1  1  2 | 0  2 1 1 2 1 2 1 | 1 2 1 1
------------+----+-------------+-------------------------+---------------------------+------------------+--------
x x . . . . |  4 |  2  2  0  0 | 16  *  *  *  *  *  *  * ♦  2  2 0  0 0 0  0 0  0  0 | 1  4 1 0 0 0 0 0 | 2 2 0 0
x . . x . . |  4 |  2  0  2  0 |  * 32  *  *  *  *  *  * ♦  1  0 1  2 0 0  0 0  0  0 | 1  2 0 2 1 0 0 0 | 2 1 1 0
x . . . . x |  4 |  2  0  0  2 |  *  * 32  *  *  *  *  * ♦  0  1 0  2 1 0  0 0  0  0 | 0  2 1 1 2 0 0 0 | 1 2 1 0
. x . x . . |  4 |  0  2  2  0 |  *  *  * 32  *  *  *  * ♦  1  0 0  0 0 1  2 0  0  0 | 1  2 0 0 0 2 1 0 | 2 1 0 1
. x . . . x |  4 |  0  2  0  2 |  *  *  *  * 32  *  *  * ♦  0  1 0  0 0 0  2 1  0  0 | 0  2 1 0 0 1 2 0 | 1 2 0 1
. . o4x . . |  4 |  0  0  4  0 |  *  *  *  *  * 16  *  * ♦  0  0 1  0 0 1  0 0  2  0 | 1  0 0 2 0 2 0 1 | 2 0 1 1
. . . x . x |  4 |  0  0  2  2 |  *  *  *  *  *  * 64  * ♦  0  0 0  1 0 0  1 0  1  1 | 0  1 0 1 1 1 1 1 | 1 1 1 1
. . . . o4x |  4 |  0  0  0  4 |  *  *  *  *  *  *  * 16 ♦  0  0 0  0 1 0  0 1  0  2 | 0  0 1 0 2 0 2 1 | 0 2 1 1
------------+----+-------------+-------------------------+---------------------------+------------------+--------
x x . x . . ♦  8 |  4  4  4  0 |  2  2  0  2  0  0  0  0 | 16  * *  * * *  * *  *  * | 1  2 0 0 0 0 0 0 | 2 1 0 0
x x . . . x ♦  8 |  4  4  0  4 |  2  0  2  0  2  0  0  0 |  * 16 *  * * *  * *  *  * | 0  2 1 0 0 0 0 0 | 1 2 0 0
x . o4x . . ♦  8 |  4  0  8  0 |  0  4  0  0  0  2  0  0 |  *  * 8  * * *  * *  *  * | 1  0 0 2 0 0 0 0 | 2 0 1 0
x . . x . x ♦  8 |  4  0  4  4 |  0  2  2  0  0  0  2  0 |  *  * * 32 * *  * *  *  * | 0  1 0 1 1 0 0 0 | 1 1 1 0
x . . . o4x ♦  8 |  4  0  0  8 |  0  0  4  0  0  0  0  2 |  *  * *  * 8 *  * *  *  * | 0  0 1 0 2 0 0 0 | 0 2 1 0
. x o4x . . ♦  8 |  0  4  8  0 |  0  0  0  4  0  2  0  0 |  *  * *  * * 8  * *  *  * | 1  0 0 0 0 2 0 0 | 2 0 0 1
. x . x . x ♦  8 |  0  4  4  4 |  0  0  0  2  2  0  2  0 |  *  * *  * * * 32 *  *  * | 0  1 0 0 0 1 1 0 | 1 1 0 1
. x . . o4x ♦  8 |  0  4  0  8 |  0  0  0  0  4  0  0  2 |  *  * *  * * *  * 8  *  * | 0  0 1 0 0 0 2 0 | 0 2 0 1
. . o4x . x ♦  8 |  0  0  8  4 |  0  0  0  0  0  2  4  0 |  *  * *  * * *  * * 16  * | 0  0 0 1 0 1 0 1 | 1 0 1 1
. . . x o4x ♦  8 |  0  0  4  8 |  0  0  0  0  0  0  4  2 |  *  * *  * * *  * *  * 16 | 0  0 0 0 1 0 1 1 | 0 1 1 1
------------+----+-------------+-------------------------+---------------------------+------------------+--------
x x o4x . . ♦ 16 |  8  8 16  0 |  4  8  0  8  0  4  0  0 |  4  0 2  0 0 2  0 0  0  0 | 4  * * * * * * * | 2 0 0 0
x x . x . x ♦ 16 |  8  8  8  8 |  4  4  4  4  4  0  4  0 |  2  2 0  2 0 0  2 0  0  0 | * 16 * * * * * * | 1 1 0 0
x x . . o4x ♦ 16 |  8  8  0 16 |  4  0  8  0  8  0  0  4 |  0  4 0  0 2 0  0 2  0  0 | *  * 4 * * * * * | 0 2 0 0
x . o4x . x ♦ 16 |  8  0 16  8 |  0  8  4  0  0  4  8  0 |  0  0 2  4 0 0  0 0  2  0 | *  * * 8 * * * * | 1 0 1 0
x . . x o4x ♦ 16 |  8  0  8 16 |  0  4  8  0  0  0  8  4 |  0  0 0  4 2 0  0 0  0  2 | *  * * * 8 * * * | 0 1 1 0
. x o4x . x ♦ 16 |  0  8 16  8 |  0  0  0  8  4  4  8  0 |  0  0 0  0 0 2  4 0  2  0 | *  * * * * 8 * * | 1 0 0 1
. x . x o4x ♦ 16 |  0  8  8 16 |  0  0  0  4  8  0  8  4 |  0  0 0  0 0 0  4 2  0  2 | *  * * * * * 8 * | 0 1 0 1
. . o4x o4x ♦ 16 |  0  0 16 16 |  0  0  0  0  0  4 16  4 |  0  0 0  0 0 0  0 0  4  4 | *  * * * * * * 4 | 0 0 1 1
------------+----+-------------+-------------------------+---------------------------+------------------+--------
x x o4x . x ♦ 32 | 16 16 32 16 |  8 16  8 16  8  8 16  0 |  8  4 4  8 0 4  8 0  4  0 | 2  4 0 2 0 2 0 0 | 4 * * *
x x . x o4x ♦ 32 | 16 16 16 32 |  8  8 16  8 16  0 16  8 |  4  8 0  8 4 0  8 4  0  4 | 0  4 2 0 2 0 2 0 | * 4 * *
x . o4x o4x ♦ 32 | 16  0 32 32 |  0 16 16  0  0  8 32  8 |  0  0 4 16 4 0  0 0  8  8 | 0  0 0 4 4 0 0 2 | * * 2 *
. x o4x o4x ♦ 32 |  0 16 32 32 |  0  0  0 16 16  8 32  8 |  0  0 0  0 0 4 16 4  8  8 | 0  0 0 0 0 4 4 2 | * * * 2
```

```x x x o3o4x

. . . . . . | 64 ♦  1  1  1  3 |  1  1  3  1  3  3  3 | 1  3  3  3  3  3  3 1 |  3  3  3 1  3 1 1 | 3 1 1 1
------------+----+-------------+----------------------+-----------------------+-------------------+--------
x . . . . . |  2 | 32  *  *  * ♦  1  1  3  0  0  0  0 | 1  3  3  3  0  0  0 0 |  3  3  3 1  0 0 0 | 3 1 1 0
. x . . . . |  2 |  * 32  *  * ♦  1  0  0  1  3  0  0 | 1  3  0  0  3  3  0 0 |  3  3  0 0  3 1 0 | 3 1 0 1
. . x . . . |  2 |  *  * 32  * ♦  0  1  0  1  0  3  0 | 1  0  3  0  3  0  3 0 |  3  0  3 0  3 0 1 | 3 0 1 1
. . . . . x |  2 |  *  *  * 96 ♦  0  0  1  0  1  1  2 | 0  1  1  2  1  2  2 1 |  1  2  2 1  2 1 1 | 2 1 1 1
------------+----+-------------+----------------------+-----------------------+-------------------+--------
x x . . . . |  4 |  2  2  0  0 | 16  *  *  *  *  *  * ♦ 1  3  0  0  0  0  0 0 |  3  3  0 0  0 0 0 | 3 1 0 0
x . x . . . |  4 |  2  0  2  0 |  * 16  *  *  *  *  * ♦ 1  0  3  0  0  0  0 0 |  3  0  3 0  0 0 0 | 3 0 1 0
x . . . . x |  4 |  2  0  0  2 |  *  * 48  *  *  *  * ♦ 0  1  1  2  0  0  0 0 |  1  2  2 1  0 0 0 | 2 1 1 0
. x x . . . |  4 |  0  2  2  0 |  *  *  * 16  *  *  * ♦ 1  0  0  0  3  0  0 0 |  3  0  0 0  3 0 0 | 3 0 0 1
. x . . . x |  4 |  0  2  0  2 |  *  *  *  * 48  *  * ♦ 0  1  0  0  1  2  0 0 |  1  2  0 0  2 1 0 | 2 1 0 1
. . x . . x |  4 |  0  0  2  2 |  *  *  *  *  * 48  * ♦ 0  0  1  0  1  0  2 0 |  1  0  2 0  2 0 1 | 2 0 1 1
. . . . o4x |  4 |  0  0  0  4 |  *  *  *  *  *  * 48 ♦ 0  0  0  1  0  1  1 1 |  0  1  1 1  1 1 1 | 1 1 1 1
------------+----+-------------+----------------------+-----------------------+-------------------+--------
x x x . . . ♦  8 |  4  4  4  0 |  2  2  0  2  0  0  0 | 8  *  *  *  *  *  * * |  3  0  0 0  0 0 0 | 3 0 0 0
x x . . . x ♦  8 |  4  4  0  4 |  2  0  2  0  2  0  0 | * 24  *  *  *  *  * * |  1  2  0 0  0 0 0 | 2 1 0 0
x . x . . x ♦  8 |  4  0  4  4 |  0  2  2  0  0  2  0 | *  * 24  *  *  *  * * |  1  0  2 0  0 0 0 | 2 0 1 0
x . . . o4x ♦  8 |  4  0  0  8 |  0  0  4  0  0  0  2 | *  *  * 24  *  *  * * |  0  1  1 1  0 0 0 | 1 1 1 0
. x x . . x ♦  8 |  0  4  4  4 |  0  0  0  2  2  2  0 | *  *  *  * 24  *  * * |  1  0  0 0  2 0 0 | 2 0 0 1
. x . . o4x ♦  8 |  0  4  0  8 |  0  0  0  0  4  0  2 | *  *  *  *  * 24  * * |  0  1  0 0  1 1 0 | 1 1 0 1
. . x . o4x ♦  8 |  0  0  4  8 |  0  0  0  0  0  4  2 | *  *  *  *  *  * 24 * |  0  0  1 0  1 0 1 | 1 0 1 1
. . . o3o4x ♦  8 |  0  0  0 12 |  0  0  0  0  0  0  6 | *  *  *  *  *  *  * 8 |  0  0  0 1  0 1 1 | 0 1 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 0 | 12  *  * *  * * * | 2 0 0 0
x x . . o4x ♦ 16 |  8  8  0 16 |  4  0  8  0  8  0  4 | 0  4  0  2  0  2  0 0 |  * 12  * *  * * * | 1 1 0 0
x . x . o4x ♦ 16 |  8  0  8 16 |  0  4  8  0  0  8  4 | 0  0  4  2  0  0  2 0 |  *  * 12 *  * * * | 1 0 1 0
x . . o3o4x ♦ 16 |  8  0  0 24 |  0  0 12  0  0  0 12 | 0  0  0  6  0  0  0 2 |  *  *  * 4  * * * | 0 1 1 0
. x x . o4x ♦ 16 |  0  8  8 16 |  0  0  0  4  8  8  4 | 0  0  0  0  4  2  2 0 |  *  *  * * 12 * * | 1 0 0 1
. x . o3o4x ♦ 16 |  0  8  0 24 |  0  0  0  0 12  0 12 | 0  0  0  0  0  6  0 2 |  *  *  * *  * 4 * | 0 1 0 1
. . x o3o4x ♦ 16 |  0  0  8 24 |  0  0  0  0  0 12 12 | 0  0  0  0  0  0  6 2 |  *  *  * *  * * 4 | 0 0 1 1
------------+----+-------------+----------------------+-----------------------+-------------------+--------
x x x . o4x ♦ 32 | 16 16 16 32 |  8  8 16  8 16 16  8 | 4  8  8  4  8  4  4 0 |  4  2  2 0  2 0 0 | 6 * * *
x x . o3o4x ♦ 32 | 16 16  0 48 |  8  0 24  0 24  0 24 | 0 12  0 12  0 12  0 4 |  0  6  0 2  0 2 0 | * 2 * *
x . x o3o4x ♦ 32 | 16  0 16 48 |  0  8 24  0  0 24 24 | 0  0 12 12  0  0 12 4 |  0  0  6 2  0 0 2 | * * 2 *
. x x o3o4x ♦ 32 |  0 16 16 48 |  0  0  0  8 24 24 24 | 0  0  0  0 12 12 12 4 |  0  0  0 0  6 2 2 | * * * 2
```

```x x x x o4x

. . . . . . | 64 ♦  1  1  1  1  2 |  1  1  1  2  1  1  2  1  2  2  1 | 1 1  2 1  2  2 1 1  2  2 1  2 1 1 | 1 2 2 1 2 1 1 2 1 1 1 | 2 1 1 1 1
------------+----+----------------+----------------------------------+-----------------------------------+-----------------------+----------
x . . . . . |  2 | 32  *  *  *  * ♦  1  1  1  2  0  0  0  0  0  0  0 | 1 1  2 1  2  2 1 0  0  0 0  0 0 0 | 1 2 2 1 2 1 1 0 0 0 0 | 2 1 1 1 0
. x . . . . |  2 |  * 32  *  *  * ♦  1  0  0  0  1  1  2  0  0  0  0 | 1 1  2 0  0  0 0 1  2  2 1  0 0 0 | 1 2 2 1 0 0 0 2 1 1 0 | 2 1 1 0 1
. . x . . . |  2 |  *  * 32  *  * ♦  0  1  0  0  1  0  0  1  2  0  0 | 1 0  0 1  2  0 0 1  2  0 0  2 1 0 | 1 2 0 0 2 1 0 2 1 0 1 | 2 1 0 1 1
. . . x . . |  2 |  *  *  * 32  * ♦  0  0  1  0  0  1  0  1  0  2  0 | 0 1  0 1  0  2 0 1  0  2 0  2 0 1 | 1 0 2 0 2 0 1 2 0 1 1 | 2 0 1 1 1
. . . . . x |  2 |  *  *  *  * 64 ♦  0  0  0  1  0  0  1  0  1  1  1 | 0 0  1 0  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
------------+----+----------------+----------------------------------+-----------------------------------+-----------------------+----------
x x . . . . |  4 |  2  2  0  0  0 | 16  *  *  *  *  *  *  *  *  *  * ♦ 1 1  2 0  0  0 0 0  0  0 0  0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 | 2 1 1 0 0
x . x . . . |  4 |  2  0  2  0  0 |  * 16  *  *  *  *  *  *  *  *  * ♦ 1 0  0 1  2  0 0 0  0  0 0  0 0 0 | 1 2 0 0 2 1 0 0 0 0 0 | 2 1 0 1 0
x . . x . . |  4 |  2  0  0  2  0 |  *  * 16  *  *  *  *  *  *  *  * ♦ 0 1  0 1  0  2 0 0  0  0 0  0 0 0 | 1 0 2 0 2 0 1 0 0 0 0 | 2 0 1 1 0
x . . . . x |  4 |  2  0  0  0  2 |  *  *  * 32  *  *  *  *  *  *  * ♦ 0 0  1 0  1  1 1 0  0  0 0  0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
. x x . . . |  4 |  0  2  2  0  0 |  *  *  *  * 16  *  *  *  *  *  * ♦ 1 0  0 0  0  0 0 1  2  0 0  0 0 0 | 1 2 0 0 0 0 0 2 1 0 0 | 2 1 0 0 1
. x . x . . |  4 |  0  2  0  2  0 |  *  *  *  *  * 16  *  *  *  *  * ♦ 0 1  0 0  0  0 0 1  0  2 0  0 0 0 | 1 0 2 0 0 0 0 2 0 1 0 | 2 0 1 0 1
. x . . . x |  4 |  0  2  0  0  2 |  *  *  *  *  *  * 32  *  *  *  * ♦ 0 0  1 0  0  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 x . . |  4 |  0  0  2  2  0 |  *  *  *  *  *  *  * 16  *  *  * ♦ 0 0  0 1  0  0 0 1  0  0 0  2 0 0 | 1 0 0 0 2 0 0 2 0 0 1 | 2 0 0 1 1
. . x . . x |  4 |  0  0  2  0  2 |  *  *  *  *  *  *  *  * 32  *  * ♦ 0 0  0 0  1  0 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 . x |  4 |  0  0  0  2  2 |  *  *  *  *  *  *  *  *  * 32  * ♦ 0 0  0 0  0  1 0 0  0  1 0  1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
. . . . o4x |  4 |  0  0  0  0  4 |  *  *  *  *  *  *  *  *  *  * 16 ♦ 0 0  0 0  0  0 1 0  0  0 1  0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
------------+----+----------------+----------------------------------+-----------------------------------+-----------------------+----------
x x x . . . ♦  8 |  4  4  4  0  0 |  2  2  0  0  2  0  0  0  0  0  0 | 8 *  * *  *  * * *  *  * *  * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0
x x . x . . ♦  8 |  4  4  0  4  0 |  2  0  2  0  0  2  0  0  0  0  0 | * 8  * *  *  * * *  *  * *  * * * | 1 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0
x x . . . x ♦  8 |  4  4  0  0  4 |  2  0  0  2  0  0  2  0  0  0  0 | * * 16 *  *  * * *  *  * *  * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . x x . . ♦  8 |  4  0  4  4  0 |  0  2  2  0  0  0  0  2  0  0  0 | * *  * 8  *  * * *  *  * *  * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0
x . x . . x ♦  8 |  4  0  4  0  4 |  0  2  0  2  0  0  0  0  2  0  0 | * *  * * 16  * * *  *  * *  * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
x . . x . x ♦  8 |  4  0  0  4  4 |  0  0  2  2  0  0  0  0  0  2  0 | * *  * *  * 16 * *  *  * *  * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . o4x ♦  8 |  4  0  0  0  8 |  0  0  0  4  0  0  0  0  0  0  2 | * *  * *  *  * 8 *  *  * *  * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. x x x . . ♦  8 |  0  4  4  4  0 |  0  0  0  0  2  2  0  2  0  0  0 | * *  * *  *  * * 8  *  * *  * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1
. x x . . x ♦  8 |  0  4  4  0  4 |  0  0  0  0  2  0  2  0  2  0  0 | * *  * *  *  * * * 16  * *  * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
. x . x . x ♦  8 |  0  4  0  4  4 |  0  0  0  0  0  2  2  0  0  2  0 | * *  * *  *  * * *  * 16 *  * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
. x . . o4x ♦  8 |  0  4  0  0  8 |  0  0  0  0  0  0  4  0  0  0  2 | * *  * *  *  * * *  *  * 8  * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . x x . x ♦  8 |  0  0  4  4  4 |  0  0  0  0  0  0  0  2  2  2  0 | * *  * *  *  * * *  *  * * 16 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . x . o4x ♦  8 |  0  0  4  0  8 |  0  0  0  0  0  0  0  0  4  0  2 | * *  * *  *  * * *  *  * *  * 8 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
. . . x o4x ♦  8 |  0  0  0  4  8 |  0  0  0  0  0  0  0  0  0  4  2 | * *  * *  *  * * *  *  * *  * * 8 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
------------+----+----------------+----------------------------------+-----------------------------------+-----------------------+----------
x x x x . . ♦ 16 |  8  8  8  8  0 |  4  4  4  0  4  4  0  4  0  0  0 | 2 2  0 2  0  0 0 2  0  0 0  0 0 0 | 4 * * * * * * * * * * | 2 0 0 0 0
x x x . . x ♦ 16 |  8  8  8  0  8 |  4  4  0  4  4  0  4  0  4  0  0 | 2 0  2 0  2  0 0 0  2  0 0  0 0 0 | * 8 * * * * * * * * * | 1 1 0 0 0
x x . x . x ♦ 16 |  8  8  0  8  8 |  4  0  4  4  0  4  4  0  0  4  0 | 0 2  2 0  0  2 0 0  0  2 0  0 0 0 | * * 8 * * * * * * * * | 1 0 1 0 0
x x . . o4x ♦ 16 |  8  8  0  0 16 |  4  0  0  8  0  0  8  0  0  0  4 | 0 0  4 0  0  0 2 0  0  0 2  0 0 0 | * * * 4 * * * * * * * | 0 1 1 0 0
x . x x . x ♦ 16 |  8  0  8  8  8 |  0  4  4  4  0  0  0  4  4  4  0 | 0 0  0 2  2  2 0 0  0  0 0  2 0 0 | * * * * 8 * * * * * * | 1 0 0 1 0
x . x . o4x ♦ 16 |  8  0  8  0 16 |  0  4  0  8  0  0  0  0  8  0  4 | 0 0  0 0  4  0 2 0  0  0 0  0 2 0 | * * * * * 4 * * * * * | 0 1 0 1 0
x . . x o4x ♦ 16 |  8  0  0  8 16 |  0  0  4  8  0  0  0  0  0  8  4 | 0 0  0 0  0  4 2 0  0  0 0  0 0 2 | * * * * * * 4 * * * * | 0 0 1 1 0
. x x x . x ♦ 16 |  0  8  8  8  8 |  0  0  0  0  4  4  4  4  4  4  0 | 0 0  0 0  0  0 0 2  2  2 0  2 0 0 | * * * * * * * 8 * * * | 1 0 0 0 1
. x x . o4x ♦ 16 |  0  8  8  0 16 |  0  0  0  0  4  0  8  0  8  0  4 | 0 0  0 0  0  0 0 0  4  0 2  0 2 0 | * * * * * * * * 4 * * | 0 1 0 0 1
. x . x o4x ♦ 16 |  0  8  0  8 16 |  0  0  0  0  0  4  8  0  0  8  4 | 0 0  0 0  0  0 0 0  0  4 2  0 0 2 | * * * * * * * * * 4 * | 0 0 1 0 1
. . x x o4x ♦ 16 |  0  0  8  8 16 |  0  0  0  0  0  0  0  4  8  8  4 | 0 0  0 0  0  0 0 0  0  0 0  4 2 2 | * * * * * * * * * * 4 | 0 0 0 1 1
------------+----+----------------+----------------------------------+-----------------------------------+-----------------------+----------
x x x x . x ♦ 32 | 16 16 16 16 16 |  8  8  8  8  8  8  8  8  8  8  0 | 4 4  4 4  4  4 0 4  4  4 0  4 0 0 | 2 2 2 0 2 0 0 2 0 0 0 | 4 * * * *
x x x . o4x ♦ 32 | 16 16 16  0 32 |  8  8  0 16  8  0 16  0 16  0  8 | 4 0  8 0  8  0 4 0  8  0 4  0 4 0 | 0 4 0 2 0 2 0 0 2 0 0 | * 2 * * *
x x . x o4x ♦ 32 | 16 16  0 16 32 |  8  0  8 16  0  8 16  0  0 16  8 | 0 4  8 0  0  8 4 0  0  8 4  0 0 4 | 0 0 4 2 0 0 2 0 0 2 0 | * * 2 * *
x . x x o4x ♦ 32 | 16  0 16 16 32 |  0  8  8 16  0  0  0  8 16 16  8 | 0 0  0 4  8  8 4 0  0  0 0  8 4 4 | 0 0 0 0 4 2 2 0 0 0 2 | * * * 2 *
. x x x o4x ♦ 32 |  0 16 16 16 32 |  0  0  0  0  8  8 16  8 16 16  8 | 0 0  0 0  0  0 0 4  8  8 4  8 4 4 | 0 0 0 0 0 0 0 4 2 2 2 | * * * * 2
```

```x x x x x x

. . . . . . | 64 ♦  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 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 1 1
------------+----+-------------------+----------------------------------------------+-----------------------------------------+-------------------------------+------------
x . . . . . |  2 | 32  *  *  *  *  * ♦  1  1  1  1  1  0  0  0  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 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0
. x . . . . |  2 |  * 32  *  *  *  * ♦  1  0  0  0  0  1  1  1  1  0  0  0  0  0  0 | 1 1 1 1 0 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
. . x . . . |  2 |  *  * 32  *  *  * ♦  0  1  0  0  0  1  0  0  0  1  1  1  0  0  0 | 1 0 0 0 1 1 1 0 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
. . . x . . |  2 |  *  *  * 32  *  * ♦  0  0  1  0  0  0  1  0  0  1  0  0  1  1  0 | 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 | 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1
. . . . x . |  2 |  *  *  *  * 32  * ♦  0  0  0  1  0  0  0  1  0  0  1  0  1  0  1 | 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 | 1 0 1 1 1 1
. . . . . x |  2 |  *  *  *  *  * 32 ♦  0  0  0  0  1  0  0  0  1  0  0  1  0  1  1 | 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
------------+----+-------------------+----------------------------------------------+-----------------------------------------+-------------------------------+------------
x x . . . . |  4 |  2  2  0  0  0  0 | 16  *  *  *  *  *  *  *  *  *  *  *  *  *  * ♦ 1 1 1 1 0 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
x . x . . . |  4 |  2  0  2  0  0  0 |  * 16  *  *  *  *  *  *  *  *  *  *  *  *  * ♦ 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0
x . . x . . |  4 |  2  0  0  2  0  0 |  *  * 16  *  *  *  *  *  *  *  *  *  *  *  * ♦ 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
x . . . x . |  4 |  2  0  0  0  2  0 |  *  *  * 16  *  *  *  *  *  *  *  *  *  *  * ♦ 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0
x . . . . x |  4 |  2  0  0  0  0  2 |  *  *  *  * 16  *  *  *  *  *  *  *  *  *  * ♦ 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
. x x . . . |  4 |  0  2  2  0  0  0 |  *  *  *  *  * 16  *  *  *  *  *  *  *  *  * ♦ 1 0 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 0 0 1 1 1 0 0 | 1 1 1 0 0 1
. x . x . . |  4 |  0  2  0  2  0  0 |  *  *  *  *  *  * 16  *  *  *  *  *  *  *  * ♦ 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
. x . . x . |  4 |  0  2  0  0  2  0 |  *  *  *  *  *  *  * 16  *  *  *  *  *  *  * ♦ 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1
. x . . . x |  4 |  0  2  0  0  0  2 |  *  *  *  *  *  *  *  * 16  *  *  *  *  *  * ♦ 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
. . x x . . |  4 |  0  0  2  2  0  0 |  *  *  *  *  *  *  *  *  * 16  *  *  *  *  * ♦ 0 0 0 0 1 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 1 1 0 0 1 | 1 1 0 0 1 1
. . x . x . |  4 |  0  0  2  0  2  0 |  *  *  *  *  *  *  *  *  *  * 16  *  *  *  * ♦ 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1
. . x . . x |  4 |  0  0  2  0  0  2 |  *  *  *  *  *  *  *  *  *  *  * 16  *  *  * ♦ 0 0 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 1 | 0 1 1 0 1 1
. . . x x . |  4 |  0  0  0  2  2  0 |  *  *  *  *  *  *  *  *  *  *  *  * 16  *  * ♦ 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1
. . . x . x |  4 |  0  0  0  2  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  * 16  * ♦ 0 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 x |  4 |  0  0  0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 16 ♦ 0 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
------------+----+-------------------+----------------------------------------------+-----------------------------------------+-------------------------------+------------
x x x . . . ♦  8 |  4  4  4  0  0  0 |  2  2  0  0  0  2  0  0  0  0  0  0  0  0  0 | 8 * * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x x . x . . ♦  8 |  4  4  0  4  0  0 |  2  0  2  0  0  0  2  0  0  0  0  0  0  0  0 | * 8 * * * * * * * * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
x x . . x . ♦  8 |  4  4  0  0  4  0 |  2  0  0  2  0  0  0  2  0  0  0  0  0  0  0 | * * 8 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
x x . . . x ♦  8 |  4  4  0  0  0  4 |  2  0  0  0  2  0  0  0  2  0  0  0  0  0  0 | * * * 8 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
x . x x . . ♦  8 |  4  0  4  4  0  0 |  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0 | * * * * 8 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
x . x . x . ♦  8 |  4  0  4  0  4  0 |  0  2  0  2  0  0  0  0  0  0  2  0  0  0  0 | * * * * * 8 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
x . x . . x ♦  8 |  4  0  4  0  0  4 |  0  2  0  0  2  0  0  0  0  0  0  2  0  0  0 | * * * * * * 8 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
x . . x x . ♦  8 |  4  0  0  4  4  0 |  0  2  2  2  0  0  0  0  0  0  0  0  2  0  0 | * * * * * * * 8 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
x . . x . x ♦  8 |  4  0  0  4  0  4 |  0  0  2  0  2  0  0  0  0  0  0  0  0  2  0 | * * * * * * * * 8 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
x . . . x x ♦  8 |  4  0  0  0  4  4 |  0  0  0  2  2  0  0  0  0  0  0  0  0  0  2 | * * * * * * * * * 8 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
. x x x . . ♦  8 |  0  4  4  4  0  0 |  0  0  0  0  0  2  2  0  0  2  0  0  0  0  0 | * * * * * * * * * * 8 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
. x x . x . ♦  8 |  0  4  4  0  4  0 |  0  0  0  0  0  2  0  2  0  0  2  0  0  0  0 | * * * * * * * * * * * 8 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1
. x x . . x ♦  8 |  0  4  4  0  0  4 |  0  0  0  0  0  2  0  0  2  0  0  2  0  0  0 | * * * * * * * * * * * * 8 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
. x . x x . ♦  8 |  0  4  0  4  4  0 |  0  0  0  0  0  0  2  2  0  0  0  0  2  0  0 | * * * * * * * * * * * * * 8 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
. x . x . x ♦  8 |  0  4  0  4  0  4 |  0  0  0  0  0  0  2  0  2  0  0  0  0  2  0 | * * * * * * * * * * * * * * 8 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
. x . . x x ♦  8 |  0  4  0  0  4  4 |  0  0  0  0  0  0  0  2  2  0  0  0  0  0  2 | * * * * * * * * * * * * * * * 8 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
. . x x x . ♦  8 |  0  0  4  4  4  0 |  0  0  0  0  0  0  0  0  0  2  2  0  2  0  0 | * * * * * * * * * * * * * * * * 8 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1
. . x x . x ♦  8 |  0  0  4  4  0  4 |  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0 | * * * * * * * * * * * * * * * * * 8 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
. . x . x x ♦  8 |  0  0  4  0  4  4 |  0  0  0  0  0  0  0  0  0  0  2  2  0  0  2 | * * * * * * * * * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
. . . x x x ♦  8 |  0  0  0  4  4  4 |  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2 | * * * * * * * * * * * * * * * * * * * 8 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
------------+----+-------------------+----------------------------------------------+-----------------------------------------+-------------------------------+------------
x x x x . . ♦ 16 |  8  8  8  8  0  0 |  4  4  4  0  0  4  4  0  0  4  0  0  0  0  0 | 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * | 1 1 0 0 0 0
x x x . x . ♦ 16 |  8  8  8  0  8  0 |  4  4  0  4  0  4  0  4  0  0  4  0  0  0  0 | 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * | 1 0 1 0 0 0
x x x . . x ♦ 16 |  8  8  8  0  0  8 |  4  4  0  0  4  4  0  0  4  0  0  4  0  0  0 | 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * | 0 1 1 0 0 0
x x . x x . ♦ 16 |  8  8  0  8  8  0 |  4  0  4  4  0  0  4  4  0  0  0  0  4  0  0 | 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * | 1 0 0 1 0 0
x x . x . x ♦ 16 |  8  8  0  8  0  8 |  4  0  4  0  4  0  4  0  4  0  0  0  0  4  0 | 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 | * * * * 4 * * * * * * * * * * | 0 1 0 1 0 0
x x . . x x ♦ 16 |  8  8  0  0  8  8 |  4  0  0  4  4  0  0  4  4  0  0  0  0  0  4 | 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 | * * * * * 4 * * * * * * * * * | 0 0 1 1 0 0
x . x x x . ♦ 16 |  8  0  8  8  8  0 |  0  4  4  4  0  0  0  0  0  4  4  0  4  0  0 | 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 | * * * * * * 4 * * * * * * * * | 1 0 0 0 1 0
x . x x . x ♦ 16 |  8  0  8  8  0  8 |  0  4  4  0  4  0  0  0  0  4  0  4  0  4  0 | 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 4 * * * * * * * | 0 1 0 0 1 0
x . x . x x ♦ 16 |  8  0  8  0  8  8 |  0  4  0  4  4  0  0  0  0  0  4  4  0  0  4 | 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 4 * * * * * * | 0 0 1 0 1 0
x . . x x x ♦ 16 |  8  0  0  8  8  8 |  0  0  4  4  4  0  0  0  0  0  0  0  4  4  4 | 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 4 * * * * * | 0 0 0 1 1 0
. x x x x . ♦ 16 |  0  8  8  8  8  0 |  0  0  0  0  0  4  4  4  0  4  4  0  4  0  0 | 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 | * * * * * * * * * * 4 * * * * | 1 0 0 0 0 1
. x x x . x ♦ 16 |  0  8  8  8  0  8 |  0  0  0  0  0  4  4  0  4  4  0  4  0  4  0 | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 | * * * * * * * * * * * 4 * * * | 0 1 0 0 0 1
. x x . x x ♦ 16 |  0  8  8  0  8  8 |  0  0  0  0  0  4  0  4  4  0  4  4  0  0  4 | 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 0 | * * * * * * * * * * * * 4 * * | 0 0 1 0 0 1
. x . x x x ♦ 16 |  0  8  0  8  8  8 |  0  0  0  0  0  0  4  4  4  0  0  0  4  4  4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 | * * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
. . x x x x ♦ 16 |  0  0  8  8  8  8 |  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 | * * * * * * * * * * * * * * 4 | 0 0 0 0 1 1
------------+----+-------------------+----------------------------------------------+-----------------------------------------+-------------------------------+------------
x x x x x . ♦ 32 | 16 16 16 16 16  0 |  8  8  8  8  0  8  8  8  0  8  8  0  8  0  0 | 4 4 4 0 4 4 0 4 0 0 4 4 0 4 0 0 4 0 0 0 | 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 | 2 * * * * *
x x x x . x ♦ 32 | 16 16 16 16  0 16 |  8  8  8  0  8  8  8  0  8  8  0  8  0  8  0 | 4 4 0 4 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 0 | 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 | * 2 * * * *
x x x . x x ♦ 32 | 16 16 16  0 16 16 |  8  8  0  8  8  8  0  8  8  0  8  8  0  0  8 | 4 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 0 0 4 0 | 0 2 2 0 0 2 0 0 2 0 0 0 2 0 0 | * * 2 * * *
x x . x x x ♦ 32 | 16 16  0 16 16 16 |  8  0  8  8  8  0  8  8  8  0  0  0  8  8  8 | 0 4 4 4 0 0 0 4 4 4 0 0 0 4 4 4 0 0 0 4 | 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 | * * * 2 * *
x . x x x x ♦ 32 | 16  0 16 16 16 16 |  0  8  8  8  8  0  0  0  0  8  8  8  8  8  8 | 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 4 4 4 4 | 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 | * * * * 2 *
. x x x x x ♦ 32 |  0 16 16 16 16 16 |  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8 | 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 | 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 | * * * * * 2
```

```oo3oo3oo3oo4xx&#x   → height = 1
(pent || pent)

o.3o.3o.3o.4o.    | 32  * ♦  5  1  0 | 10  5  0 | 10 10  0 |  5 10  0 | 1  5 0
.o3.o3.o3.o4.o    |  * 32 ♦  0  1  5 |  0  5 10 |  0 10 10 |  0 10  5 | 0  5 1
------------------+-------+----------+----------+----------+----------+-------
.. .. .. .. x.    |  2  0 | 80  *  * ♦  4  1  0 |  6  4  0 |  4  6  0 | 1  4 0
oo3oo3oo3oo4oo&#x |  1  1 |  * 32  * ♦  0  5  0 |  0 10  0 |  0 10  0 | 0  5 0
.. .. .. .. .x    |  0  2 |  *  * 80 ♦  0  1  4 |  0  4  6 |  0  6  4 | 0  4 1
------------------+-------+----------+----------+----------+----------+-------
.. .. .. o.4x.    |  4  0 |  4  0  0 | 80  *  * ♦  3  1  0 |  3  3  0 | 1  3 0
.. .. .. .. xx&#x |  2  2 |  1  2  1 |  * 80  * ♦  0  4  0 |  0  6  0 | 0  4 0
.. .. .. .o4.x    |  0  4 |  0  0  4 |  *  * 80 ♦  0  1  3 |  0  3  3 | 0  3 1
------------------+-------+----------+----------+----------+----------+-------
.. .. o.3o.4x.    ♦  8  0 | 12  0  0 |  6  0  0 | 40  *  * |  2  1  0 | 1  2 0
.. .. .. oo4xx&#x ♦  4  4 |  4  4  4 |  1  4  1 |  * 80  * |  0  3  0 | 0  3 0
.. .. .o3.o4.x    ♦  0  8 |  0  0 12 |  0  0  6 |  *  * 40 |  0  1  2 | 0  2 1
------------------+-------+----------+----------+----------+----------+-------
.. o.3o.3o.4x.    ♦ 16  0 | 32  0  0 | 24  0  0 |  8  0  0 | 10  *  * | 1  1 0
.. .. oo3oo4xx&#x ♦  8  8 | 12  8 12 |  6 12  6 |  1  6  1 |  * 40  * | 0  2 0
.. .o3.o3.o4.x    ♦  0 16 |  0  0 32 |  0  0 24 |  0  0  8 |  *  * 10 | 0  1 1
------------------+-------+----------+----------+----------+----------+-------
o.3o.3o.3o.4x.    ♦ 32  0 | 80  0  0 | 80  0  0 | 40  0  0 | 10  0  0 | 1  * *
.. oo3oo3oo4xx&#x ♦ 16 16 | 32 16 32 | 24 32 24 |  8 24  8 |  1  8  1 | * 10 *
.o3.o3.o3.o4.x    ♦  0 32 |  0  0 80 |  0  0 80 |  0  0 40 |  0  0 10 | *  * 1
```

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