﻿ idirek
Acronym idirek
Name icositetra-diminished rectified diacosipentacontahexazetton
Lace hyper city
in approx. ASCII-art
 ``` H _ \ -_ | \ _H _ \ \ | _ \\ _ _ - H | _ - H ``` ``` I ``` ``` _ -_H _ - _ H _ | \\ _ \ \ | H_ \ -_\| H ```
```i.e. the vertex positions of a hex plus its midpoint

where:
H = x3o3o4o (hex)
I = o3x3o4o (ico)
```
Confer
uniform relative:
rek   fy

This polyzetton occurs when considering the Gosset polytope 421 (i.e. fy) as the tegum sum of 2 perpendicular icoes and 3 pairwise bigyrated hexdips. In fact, the mere tegum sum of 2 bigyrated hexdips happens to be a vertex inscribed hocto, and the tegum sum of the remainder happens to be a vertex inscribed rek. Now, when rek in turn is being reduced by one of these 2 ico components, then this polyzetton would remain.

Incidence matrix according to Dynkin symbol

```xoo3ooo3oox xox3oxo3ooo4ooo&#xt   → both heights = 1/sqrt(8) = 0.353553
(tethex || pseudo ico || dual-para tethex)

o..3o..3o.. o..3o..3o..4o..     & | 64  * |  3   6   6  3  0 |  3  18  12  18   6  12   9  18  18  0  0 |  1  18  36   8  18  18   36  12   8  4  3  54  36   54  18   36  0 |  6  36  24 1  6  18  36  36  24   8  24  18 108  24  24  18  54  108  36  24 | 12  24  3  6  12  36  24  24  48  36  72  3  24  48  18  36 108   72  24 |  8 3 12   8  24  32 24  9  48  32  36  24  72 | 1  8 4 3 1  32 24
.o.3.o.3.o. .o.3.o.3.o.4.o.       |  * 24 |  0   0  16  0  8 |  0   0   0  24   8  64   0   0  24  4  8 |  0   0   0   0  16  12   96  32  64  0  0   0   0   48  12   96  4 |  0   0   0 0  4   8  64  48  96  32   0   0   0   0  16  12  24  192  48  96 |  0   0  0  2  16  32  64  48   0   0   0  0   8  64   6  48  96  192  48 |  0 0  8  16  32   0  0  0  32  64  24  48  96 | 0  8 0 0 2  32 24
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x.. ... ... ... ... ... ...     & |  2  0 | 96   *   *  *  * |  2   6   0   6   0   0   2   0   0  0  0 |  1  12  12   0  12   6   12   0   0  2  1  12   0   12   0    0  0 |  6  24   8 0  6  12  24  12   8   0  12   6  24   0  12   6  12   24   0   0 | 12  16  1  6  12  24  16   8  24  12  16  0  12  24   6  12  24   16   0 |  8 2 12   8  16  16  8  2  24  16  12   8  16 | 1  8 2 1 1  16  8
... ... ... x.. ... ... ...     & |  2  0 |  * 192   *  *  * |  0   3   4   0   1   0   0   3   0  0  0 |  0   3  12   4   0   3    0   4   0  0  0   9  12    0   3    0  0 |  1  12  12 1  0   3   0  12   0   4   4   3  36  12   0   0   9    0  12   0 |  4  12  3  1   0  12   0  12  16  12  36  3   4   0   3   0  36    0  12 |  4 3  4   0  12  16 12  9  16   0  12   0  36 | 1  4 4 3 0  16 12
oo.3oo.3oo. oo.3oo.3oo.4oo.&#x  & |  1  1 |  *   * 384  *  * |  0   0   0   3   1   4   0   0   3  0  0 |  0   0   0   0   3   3   12   4   4  0  0   0   0    9   3   12  0 |  0   0   0 0  1   3  12  12  12   4   0   0   0   0   4   3   9   36  12  12 |  0   0  0  1   4  12  12  12   0   0   0  0   4  16   3  12  36   36  12 |  0 0  4   4  12   0  0  0  16  16  12  12  36 | 0  4 0 0 1  16 12
o.o3o.o3o.o o.o3o.o3o.o4o.o&#x    |  2  0 |  *   *   * 96  * |  0   0   0   0   0   0   4   6   6  0  0 |  0   0   0   0   0   0    0   0   0  2  2  24  12   24   6   12  0 |  0   0   0 0  0   0   0   0   0   0  12  12  48   8  12  12  24   48  12   8 |  0   0  0  0   0   0   0   0  24  24  32  1  12  24  12  24  48   32   8 |  0 0  0   0   0  16 16  4  24  16  24  16  32 | 0  0 2 2 1  16 16
... ... ... ... .x. ... ...       |  0  2 |  *   *   *  * 96 |  0   0   0   0   0   8   0   0   0  1  2 |  0   0   0   0   0   0   12   8  16  0  0   0   0    0   0   12  2 |  0   0   0 0  0   0   8  12  24  16   0   0   0   0   0   0   0   24  12  24 |  0   0  0  0   2   8  16  24   0   0   0  0   0   8   0   6  24   48  24 |  0 0  2   4  16   0  0  0   8  16   6  12  48 | 0  4 0 0 1  16 12
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x..3o.. ... ... ... ... ...     & |  3  0 |  3   0   0  0  0 | 64   *   *   *   *   *   *   *   *  *  * |  1   6   0   0   6   0    0   0   0  1  0   0   0    0   0    0  0 |  6  12   0 0  6   6  12   0   0   0   6   0   0   0   6   0   0    0   0   0 | 12   8  0  6  12  12   8   0  12   0   0  0   6  12   0   0   0    0   0 |  8 1 12   8   8   8  0  0  12   8   0   0   0 | 1  8 1 0 1   8  0
x.. ... ... x.. ... ... ...     & |  4  0 |  2   2   0  0  0 |  * 288   *   *   *   *   *   *   *  *  * |  0   2   4   0   0   1    0   0   0  0  0   2   0    0   0    0  0 |  1   8   4 0  0   2   0   4   0   0   2   1   8   0   0   0   2    0   0   0 |  4   8  1  1   0   8   0   4   8   4   8  0   2   0   1   0   8    0   0 |  4 2  4   0   8   8  4  2   8   0   4   0   8 | 1  4 2 1 0   8  4
... ... ... x..3o.. ... ...     & |  3  0 |  0   3   0  0  0 |  *   * 256   *   *   *   *   *   *  *  * |  0   0   3   2   0   0    0   1   0  0  0   0   3    0   0    0  0 |  0   3   6 1  0   0   0   3   0   2   0   0   9   6   0   0   0    0   3   0 |  1   6  3  0   0   3   0   6   4   3  18  3   0   0   0   0   9    0   6 |  2 3  1   0   6   8  6  9   4   0   3   0  18 | 1  2 4 3 0   8  6
xo. ... ... ... ... ... ...&#x  & |  2  1 |  1   0   2  0  0 |  *   *   * 576   *   *   *   *   *  *  * |  0   0   0   0   2   1    4   0   0  0  0   0   0    2   0    0  0 |  0   0   0 0  1   2   8   4   4   0   0   0   0   0   2   1   2    8   0   0 |  0   0  0  1   4   8   8   4   0   0   0  0   2   8   1   4   8    8   0 |  0 0  4   4   8   0  0  0   8   8   4   4   8 | 0  4 0 0 1   8  4
... ... ... xo. ... ... ...&#x  & |  2  1 |  0   1   2  0  0 |  *   *   *   * 192   *   *   *   *  *  * |  0   0   0   0   0   3    0   4   0  0  0   0   0    0   3    0  0 |  0   0   0 0  0   3   0  12   0   4   0   0   0   0   0   0   9    0  12   0 |  0   0  0  1   0  12   0  12   0   0   0  0   4   0   3   0  36    0  12 |  0 0  4   0  12   0  0  0  16   0  12   0  36 | 0  4 0 0 0  16 12
... ... ... ... ox. ... ...&#x  & |  1  2 |  0   0   2  0  1 |  *   *   *   *   * 768   *   *   *  *  * |  0   0   0   0   0   0    3   1   2  0  0   0   0    0   0    3  0 |  0   0   0 0  0   0   3   3   6   2   0   0   0   0   0   0   0    9   3   6 |  0   0  0  0   1   3   6   6   0   0   0  0   0   4   0   3   9   18   6 |  0 0  1   2   6   0  0  0   4   8   3   6  18 | 0  2 0 0 1   8  6
x.o ... ... ... ... ... ...&#x  & |  3  0 |  1   0   0  2  0 |  *   *   *   *   *   * 192   *   *  *  * |  0   0   0   0   0   0    0   0   0  1  1   6   0    6   0    0  0 |  0   0   0 0  0   0   0   0   0   0   6   6  12   0   6   6   6   12   0   0 |  0   0  0  0   0   0   0   0  12  12   8  0   6  12   6  12  12    8   0 |  0 0  0   0   0   8  8  1  12   8  12   8   8 | 0  0 1 1 1   8  8
... ... ... x.x ... ... ...&#x    |  4  0 |  0   2   0  2  0 |  *   *   *   *   *   *   * 288   *  *  * |  0   0   0   0   0   0    0   0   0  0  0   4   4    0   1    0  0 |  0   0   0 0  0   0   0   0   0   0   2   2  16   4   0   0   4    0   4   0 |  0   0  0  0   0   0   0   0   8   8  16  1   2   0   2   0  16    0   4 |  0 0  0   0   0   8  8  4   8   0   8   0  16 | 0  0 2 2 0   8  8
ooo3ooo3ooo ooo3ooo3ooo4ooo&#x    |  2  1 |  0   0   2  1  0 |  *   *   *   *   *   *   *   * 576  *  * |  0   0   0   0   0   0    0   0   0  0  0   0   0    4   1    4  0 |  0   0   0 0  0   0   0   0   0   0   0   0   0   0   2   2   4   16   4   4 |  0   0  0  0   0   0   0   0   0   0   0  0   2   8   2   8  16   16   4 |  0 0  0   0   0   0  0  0   8   8   8   8  16 | 0  0 0 0 1   8  8
... ... ... .o.3.x. ... ...       |  0  3 |  0   0   0  0  3 |  *   *   *   *   *   *   *   *   * 32  * |  0   0   0   0   0   0    0   8   0  0  0   0   0    0   0    0  2 |  0   0   0 0  0   0   0  12   0  16   0   0   0   0   0   0   0    0  12   0 |  0   0  0  0   0   8   0  24   0   0   0  0   0   0   0   0  24    0  24 |  0 0  2   0  16   0  0  0   8   0   6   0  48 | 0  4 0 0 0  16 12
... ... ... ... .x.3.o. ...       |  0  3 |  0   0   0  0  3 |  *   *   *   *   *   *   *   *   *  * 64 |  0   0   0   0   0   0    0   0   8  0  0   0   0    0   0    0  1 |  0   0   0 0  0   0   0   0  12   8   0   0   0   0   0   0   0    0   0  12 |  0   0  0  0   0   0   8  12   0   0   0  0   0   0   0   0   0   24  12 |  0 0  0   2   8   0  0  0   0   8   0   6  24 | 0  2 0 0 1   8  6
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x..3o..3o.. ... ... ... ...     & ♦  4  0 |  6   0   0  0  0 |  4   0   0   0   0   0   0   0   0  0  0 | 16   *   *   *   *   *    *   *   *  *  *   *   *    *   *    *  * |  6   0   0 0  6   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 | 12   0  0  6  12   0   0   0   0   0   0  0   0   0   0   0   0    0   0 |  8 0 12   8   0   0  0  0   0   0   0   0   0 | 1  8 0 0 1   0  0
x..3o.. ... x.. ... ... ...     & ♦  6  0 |  6   3   0  0  0 |  2   3   0   0   0   0   0   0   0  0  0 |  * 192   *   *   *   *    *   *   *  *  *   *   *    *   *    *  * |  1   4   0 0  0   1   0   0   0   0   1   0   0   0   0   0   0    0   0   0 |  4   4  0  1   0   4   0   0   4   0   0  0   1   0   0   0   0    0   0 |  4 1  4   0   4   4  0  0   4   0   0   0   0 | 1  4 1 0 0   4  0
x.. ... ... x..3o.. ... ...     & ♦  6  0 |  3   6   0  0  0 |  0   3   2   0   0   0   0   0   0  0  0 |  *   * 384   *   *   *    *   *   *  *  *   *   *    *   *    *  * |  0   2   2 0  0   0   0   1   0   0   0   0   2   0   0   0   0    0   0   0 |  1   4  1  0   0   2   0   2   2   1   4  0   0   0   0   0   2    0   0 |  2 2  1   0   4   4  2  2   2   0   1   0   4 | 1  2 2 1 0   4  2
... ... ... x..3o..3o.. ...     & ♦  4  0 |  0   6   0  0  0 |  0   0   4   0   0   0   0   0   0  0  0 |  *   *   * 128   *   *    *   *   *  *  *   *   *    *   *    *  * |  0   0   3 1  0   0   0   0   0   1   0   0   0   3   0   0   0    0   0   0 |  0   3  3  0   0   0   0   3   0   0   9  3   0   0   0   0   0    0   3 |  1 3  0   0   3   4  3  9   0   0   0   0   9 | 1  1 4 3 0   4  3
xo.3oo. ... ... ... ... ...&#x  & ♦  3  1 |  3   0   3  0  0 |  1   0   0   3   0   0   0   0   0  0  0 |  *   *   *   * 384   *    *   *   *  *  *   *   *    *   *    *  * |  0   0   0 0  1   1   4   0   0   0   0   0   0   0   1   0   0    0   0   0 |  0   0  0  1   4   4   4   0   0   0   0  0   1   4   0   0   0    0   0 |  0 0  4   4   4   0  0  0   4   4   0   0   0 | 0  4 0 0 1   4  0
xo. ... ... xo. ... ... ...&#x  & ♦  4  1 |  2   2   4  0  0 |  0   1   0   2   2   0   0   0   0  0  0 |  *   *   *   *   * 288    *   *   *  *  *   *   *    *   *    *  * |  0   0   0 0  0   2   0   4   0   0   0   0   0   0   0   0   2    0   0   0 |  0   0  0  1   0   8   0   4   0   0   0  0   2   0   1   0   8    0   0 |  0 0  4   0   8   0  0  0   8   0   4   0   8 | 0  4 0 0 0   8  4
xo. ... ... ... ox. ... ...&#x  & ♦  2  2 |  1   0   4  0  1 |  0   0   0   2   0   2   0   0   0  0  0 |  *   *   *   *   *   * 1152   *   *  *  *   *   *    *   *    *  * |  0   0   0 0  0   0   2   1   2   0   0   0   0   0   0   0   0    2   0   0 |  0   0  0  0   1   2   4   2   0   0   0  0   0   2   0   1   2    4   0 |  0 0  1   2   4   0  0  0   2   4   1   2   4 | 0  2 0 0 1   4  2
... ... ... xo.3ox. ... ...&#x  & ♦  3  3 |  0   3   6  0  3 |  0   0   1   0   3   3   0   0   0  1  0 |  *   *   *   *   *   *    * 256   *  *  *   *   *    *   *    *  * |  0   0   0 0  0   0   0   3   0   2   0   0   0   0   0   0   0    0   3   0 |  0   0  0  0   0   3   0   6   0   0   0  0   0   0   0   0   9    0   6 |  0 0  1   0   6   0  0  0   4   0   3   0  18 | 0  2 0 0 0   8  6
... ... ... ... ox.3oo. ...&#x  & ♦  1  3 |  0   0   3  0  3 |  0   0   0   0   0   3   0   0   0  0  1 |  *   *   *   *   *   *    *   * 512  *  *   *   *    *   *    *  * |  0   0   0 0  0   0   0   0   3   1   0   0   0   0   0   0   0    0   0   3 |  0   0  0  0   0   0   3   3   0   0   0  0   0   0   0   0   0    9   3 |  0 0  0   1   3   0  0  0   0   4   0   3   9 | 0  1 0 0 1   4  3
x.o3o.o ... ... ... ... ...&#x  & ♦  4  0 |  3   0   0  3  0 |  1   0   0   0   0   0   3   0   0  0  0 |  *   *   *   *   *   *    *   *   * 64  *   *   *    *   *    *  * |  0   0   0 0  0   0   0   0   0   0   6   0   0   0   6   0   0    0   0   0 |  0   0  0  0   0   0   0   0  12   0   0  0   6  12   0   0   0    0   0 |  0 0  0   0   0   8  0  0  12   8   0   0   0 | 0  0 1 0 1   8  0
x.o ... o.x ... ... ... ...&#x    ♦  4  0 |  2   0   0  4  0 |  0   0   0   0   0   0   4   0   0  0  0 |  *   *   *   *   *   *    *   *   *  * 48   *   *    *   *    *  * |  0   0   0 0  0   0   0   0   0   0   0   6   0   0   0   6   0    0   0   0 |  0   0  0  0   0   0   0   0   0  12   0  0   0   0   6  12   0    0   0 |  0 0  0   0   0   0  8  0   0   0  12   8   0 | 0  0 0 1 1   0  8
x.o ... ... x.x ... ... ...&#x  & ♦  6  0 |  2   3   0  4  0 |  0   1   0   0   0   0   2   2   0  0  0 |  *   *   *   *   *   *    *   *   *  *  * 576   *    *   *    *  * |  0   0   0 0  0   0   0   0   0   0   1   1   4   0   0   0   1    0   0   0 |  0   0  0  0   0   0   0   0   4   4   4  0   1   0   1   0   4    0   0 |  0 0  0   0   0   4  4  1   4   0   4   0   4 | 0  0 1 1 0   4  4
... ... ... x.x3o.o ... ...&#x    ♦  6  0 |  0   6   0  3  0 |  0   0   2   0   0   0   0   3   0  0  0 |  *   *   *   *   *   *    *   *   *  *  *   * 384    *   *    *  * |  0   0   0 0  0   0   0   0   0   0   0   0   4   2   0   0   0    0   1   0 |  0   0  0  0   0   0   0   0   2   2   8  1   0   0   0   0   4    0   2 |  0 0  0   0   0   4  4  4   2   0   2   0   8 | 0  0 2 2 0   4  4
xoo ... ... ... ... ... ...&#x  & ♦  3  1 |  1   0   3  2  0 |  0   0   0   1   0   0   1   0   2  0  0 |  *   *   *   *   *   *    *   *   *  *  *   *   * 1152   *    *  * |  0   0   0 0  0   0   0   0   0   0   0   0   0   0   1   1   1    4   0   0 |  0   0  0  0   0   0   0   0   0   0   0  0   1   4   1   4   4    4   0 |  0 0  0   0   0   0  0  0   4   4   4   4   4 | 0  0 0 0 1   4  4
... ... ... xox ... ... ...&#x    ♦  4  1 |  0   2   4  2  0 |  0   0   0   0   2   0   0   1   2  0  0 |  *   *   *   *   *   *    *   *   *  *  *   *   *    * 288    *  * |  0   0   0 0  0   0   0   0   0   0   0   0   0   0   0   0   4    0   4   0 |  0   0  0  0   0   0   0   0   0   0   0  0   2   0   2   0  16    0   4 |  0 0  0   0   0   0  0  0   8   0   8   0  16 | 0  0 0 0 0   8  8
... ... ... ... oxo ... ...&#x    ♦  2  2 |  0   0   4  1  1 |  0   0   0   0   0   2   0   0   2  0  0 |  *   *   *   *   *   *    *   *   *  *  *   *   *    *   * 1152  * |  0   0   0 0  0   0   0   0   0   0   0   0   0   0   0   0   0    4   1   2 |  0   0  0  0   0   0   0   0   0   0   0  0   0   2   0   2   4    8   2 |  0 0  0   0   0   0  0  0   2   4   2   4   8 | 0  0 0 0 1   4  4
... ... ... .o.3.x.3.o. ...       ♦  0  6 |  0   0   0  0 12 |  0   0   0   0   0   0   0   0   0  4  4 |  *   *   *   *   *   *    *   *   *  *  *   *   *    *   *    * 16 ♦  0   0   0 0  0   0   0   0   0   8   0   0   0   0   0   0   0    0   0   0 |  0   0  0  0   0   0   0  12   0   0   0  0   0   0   0   0   0    0  12 |  0 0  0   0   8   0  0  0   0   0   0   0  24 | 0  2 0 0 0   8  6
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x..3o..3o.. x.. ... ... ...     & ♦  8  0 | 12   4   0  0  0 |  8   6   0   0   0   0   0   0   0  0  0 |  2   4   0   0   0   0    0   0   0  0  0   0   0    0   0    0  0 | 48   *   * *  *   *   *   *   *   *   *   *   *   *   *   *   *    *   *   * |  4   0  0  1   0   0   0   0   0   0   0  0   0   0   0   0   0    0   0 |  4 0  4   0   0   0  0  0   0   0   0   0   0 | 1  4 0 0 0   0  0
x..3o.. ... x..3o.. ... ...     & ♦  9  0 |  9   9   0  0  0 |  3   9   3   0   0   0   0   0   0  0  0 |  0   3   3   0   0   0    0   0   0  0  0   0   0    0   0    0  0 |  * 256   * *  *   *   *   *   *   *   *   *   *   *   *   *   *    *   *   * |  1   2  0  0   0   1   0   0   1   0   0  0   0   0   0   0   0    0   0 |  2 1  1   0   2   2  0  0   1   0   0   0   0 | 1  2 1 0 0   2  0
x.. ... ... x..3o..3o.. ...     & ♦  8  0 |  4  12   0  0  0 |  0   6   8   0   0   0   0   0   0  0  0 |  0   0   4   2   0   0    0   0   0  0  0   0   0    0   0    0  0 |  *   * 192 *  *   *   *   *   *   *   *   *   *   *   *   *   *    *   *   * |  0   2  1  0   0   0   0   1   0   0   2  0   0   0   0   0   0    0   0 |  1 2  0   0   2   2  1  2   0   0   0   0   2 | 1  1 2 1 0   2  1
... ... ... x..3o..3o..4o..     & ♦  8  0 |  0  24   0  0  0 |  0   0  32   0   0   0   0   0   0  0  0 |  0   0   0  16   0   0    0   0   0  0  0   0   0    0   0    0  0 |  *   *   * 8  *   *   *   *   *   *   *   *   *   *   *   *   *    *   *   * ♦  0   0  3  0   0   0   0   0   0   0   0  3   0   0   0   0   0    0   0 |  0 3  0   0   0   0  0  9   0   0   0   0   0 | 1  0 4 3 0   0  0
xo.3oo.3oo. ... ... ... ...&#x  & ♦  4  1 |  6   0   4  0  0 |  4   0   0   6   0   0   0   0   0  0  0 |  1   0   0   0   4   0    0   0   0  0  0   0   0    0   0    0  0 |  *   *   * * 96   *   *   *   *   *   *   *   *   *   *   *   *    *   *   * |  0   0  0  1   4   0   0   0   0   0   0  0   0   0   0   0   0    0   0 |  0 0  4   4   0   0  0  0   0   0   0   0   0 | 0  4 0 0 1   0  0
xo.3oo. ... xo. ... ... ...&#x  & ♦  6  1 |  6   3   6  0  0 |  2   3   0   6   3   0   0   0   0  0  0 |  0   1   0   0   2   3    0   0   0  0  0   0   0    0   0    0  0 |  *   *   * *  * 192   *   *   *   *   *   *   *   *   *   *   *    *   *   * |  0   0  0  1   0   4   0   0   0   0   0  0   1   0   0   0   0    0   0 |  0 0  4   0   4   0  0  0   4   0   0   0   0 | 0  4 0 0 0   4  0
xo.3oo. ... ... ox. ... ...&#x  & ♦  3  2 |  3   0   6  0  1 |  1   0   0   6   0   3   0   0   0  0  0 |  0   0   0   0   2   0    3   0   0  0  0   0   0    0   0    0  0 |  *   *   * *  *   * 768   *   *   *   *   *   *   *   *   *   *    *   *   * |  0   0  0  0   1   1   2   0   0   0   0  0   0   1   0   0   0    0   0 |  0 0  1   2   2   0  0  0   1   2   0   0   0 | 0  2 0 0 1   2  0
xo. ... ... xo.3ox. ... ...&#x  & ♦  6  3 |  3   6  12  0  3 |  0   3   2   6   6   6   0   0   0  1  0 |  0   0   1   0   0   3    3   2   0  0  0   0   0    0   0    0  0 |  *   *   * *  *   *   * 384   *   *   *   *   *   *   *   *   *    *   *   * |  0   0  0  0   0   2   0   2   0   0   0  0   0   0   0   0   2    0   0 |  0 0  1   0   4   0  0  0   2   0   1   0   4 | 0  2 0 0 0   4  2
xo. ... ... ... ox.3oo. ...&#x  & ♦  2  3 |  1   0   6  0  3 |  0   0   0   3   0   6   0   0   0  0  1 |  0   0   0   0   0   0    3   0   2  0  0   0   0    0   0    0  0 |  *   *   * *  *   *   *   * 768   *   *   *   *   *   *   *   *    *   *   * |  0   0  0  0   0   0   2   1   0   0   0  0   0   0   0   0   0    2   0 |  0 0  0   1   2   0  0  0   0   2   0   1   2 | 0  1 0 0 1   2  1
... ... ... xo.3ox.3oo. ...&#x  & ♦  4  6 |  0   6  12  0 12 |  0   0   4   0   6  12   0   0   0  4  4 |  0   0   0   1   0   0    0   4   4  0  0   0   0    0   0    0  1 |  *   *   * *  *   *   *   *   * 128   *   *   *   *   *   *   *    *   *   * ♦  0   0  0  0   0   0   0   3   0   0   0  0   0   0   0   0   0    0   3 |  0 0  0   0   3   0  0  0   0   0   0   0   9 | 0  1 0 0 0   4  3
x.o3o.o ... x.x ... ... ...&#x  & ♦  8  0 |  6   4   0  6  0 |  2   3   0   0   0   0   6   3   0  0  0 |  0   1   0   0   0   0    0   0   0  2  0   3   0    0   0    0  0 |  *   *   * *  *   *   *   *   *   * 192   *   *   *   *   *   *    *   *   * |  0   0  0  0   0   0   0   0   4   0   0  0   1   0   0   0   0    0   0 |  0 0  0   0   0   4  0  0   4   0   0   0   0 | 0  0 1 0 0   4  0
x.o ... o.x x.x ... ... ...&#x    ♦  8  0 |  4   4   0  8  0 |  0   2   0   0   0   0   8   4   0  0  0 |  0   0   0   0   0   0    0   0   0  0  2   4   0    0   0    0  0 |  *   *   * *  *   *   *   *   *   *   * 144   *   *   *   *   *    *   *   * |  0   0  0  0   0   0   0   0   0   4   0  0   0   0   1   0   0    0   0 |  0 0  0   0   0   0  4  0   0   0   4   0   0 | 0  0 0 1 0   0  4
x.o ... ... x.x3o.o ... ...&#x  & ♦  9  0 |  3   9   0  6  0 |  0   3   3   0   0   0   3   6   0  0  0 |  0   0   1   0   0   0    0   0   0  0  0   3   2    0   0    0  0 |  *   *   * *  *   *   *   *   *   *   *   * 768   *   *   *   *    *   *   * |  0   0  0  0   0   0   0   0   1   1   2  0   0   0   0   0   1    0   0 |  0 0  0   0   0   2  2  1   1   0   1   0   2 | 0  0 1 1 0   2  2
... ... ... x.x3o.o3o.o ...&#x    ♦  8  0 |  0  12   0  4  0 |  0   0   8   0   0   0   0   6   0  0  0 |  0   0   0   2   0   0    0   0   0  0  0   0   4    0   0    0  0 |  *   *   * *  *   *   *   *   *   *   *   *   * 192   *   *   *    *   *   * |  0   0  0  0   0   0   0   0   0   0   4  1   0   0   0   0   0    0   1 |  0 0  0   0   0   2  2  4   0   0   0   0   4 | 0  0 2 2 0   2  2
xoo3ooo ... ... ... ... ...&#x  & ♦  4  1 |  3   0   4  3  0 |  1   0   0   3   0   0   3   0   3  0  0 |  0   0   0   0   1   0    0   0   0  1  0   0   0    3   0    0  0 |  *   *   * *  *   *   *   *   *   *   *   *   *   * 384   *   *    *   *   * |  0   0  0  0   0   0   0   0   0   0   0  0   1   4   0   0   0    0   0 |  0 0  0   0   0   0  0  0   4   4   0   0   0 | 0  0 0 0 1   4  0
xoo ... oox ... ... ... ...&#x    ♦  4  1 |  2   0   4  4  0 |  0   0   0   2   0   0   4   0   4  0  0 |  0   0   0   0   0   0    0   0   0  0  1   0   0    4   0    0  0 |  *   *   * *  *   *   *   *   *   *   *   *   *   *   * 288   *    *   *   * |  0   0  0  0   0   0   0   0   0   0   0  0   0   0   1   4   0    0   0 |  0 0  0   0   0   0  0  0   0   0   4   4   0 | 0  0 0 0 1   0  4
xoo ... ... xox ... ... ...&#x  & ♦  6  1 |  2   3   6  4  0 |  0   1   0   2   3   0   2   2   4  0  0 |  0   0   0   0   0   1    0   0   0  0  0   1   0    2   2    0  0 |  *   *   * *  *   *   *   *   *   *   *   *   *   *   *   * 576    *   *   * |  0   0  0  0   0   0   0   0   0   0   0  0   1   0   1   0   4    0   0 |  0 0  0   0   0   0  0  0   4   0   4   0   4 | 0  0 0 0 0   4  4
xoo ... ... ... oxo ... ...&#x  & ♦  3  2 |  1   0   6  2  1 |  0   0   0   2   0   3   1   0   4  0  0 |  0   0   0   0   0   0    1   0   0  0  0   0   0    2   0    2  0 |  *   *   * *  *   *   *   *   *   *   *   *   *   *   *   *   * 2304   *   * |  0   0  0  0   0   0   0   0   0   0   0  0   0   1   0   1   1    2   0 |  0 0  0   0   0   0  0  0   1   2   1   2   2 | 0  0 0 0 1   2  2
... ... ... xox3oxo ... ...&#x    ♦  6  3 |  0   6  12  3  3 |  0   0   2   0   6   6   0   3   6  1  0 |  0   0   0   0   0   0    0   2   0  0  0   0   1    0   3    3  0 |  *   *   * *  *   *   *   *   *   *   *   *   *   *   *   *   *    * 384   * |  0   0  0  0   0   0   0   0   0   0   0  0   0   0   0   0   4    0   2 |  0 0  0   0   0   0  0  0   2   0   2   0   8 | 0  0 0 0 0   4  4
... ... ... ... oxo3ooo ...&#x    ♦  2  3 |  0   0   6  1  3 |  0   0   0   0   0   6   0   0   3  0  1 |  0   0   0   0   0   0    0   0   2  0  0   0   0    0   0    3  0 |  *   *   * *  *   *   *   *   *   *   *   *   *   *   *   *   *    *   * 768 |  0   0  0  0   0   0   0   0   0   0   0  0   0   0   0   0   0    4   1 |  0 0  0   0   0   0  0  0   0   2   0   2   4 | 0  0 0 0 1   2  2
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x..3o..3o.. x..3o.. ... ...     & ♦ 12  0 | 18  12   0  0  0 | 12  18   4   0   0   0   0   0   0  0  0 |  3  12   6   0   0   0    0   0   0  0  0   0   0    0   0    0  0 |  3   4   0 0  0   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 | 64   *  *  *   *   *   *   *   *   *   *  *   *   *   *   *   *    *   * |  2 0  1   0   0   0  0  0   0   0   0   0   0 | 1  2 0 0 0   0  0
x..3o.. ... x..3o..3o.. ...     & ♦ 12  0 | 12  18   0  0  0 |  4  18  12   0   0   0   0   0   0  0  0 |  0   6  12   3   0   0    0   0   0  0  0   0   0    0   0    0  0 |  0   4   3 0  0   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 |  * 128  *  *   *   *   *   *   *   *   *  *   *   *   *   *   *    *   * |  1 1  0   0   1   1  0  0   0   0   0   0   0 | 1  1 1 0 0   1  0
x.. ... ... x..3o..3o..4o..     & ♦ 16  0 |  8  48   0  0  0 |  0  24  64   0   0   0   0   0   0  0  0 |  0   0  32  32   0   0    0   0   0  0  0   0   0    0   0    0  0 |  0   0  16 2  0   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 |  *   * 12  *   *   *   *   *   *   *   *  *   *   *   *   *   *    *   * |  0 2  0   0   0   0  0  2   0   0   0   0   0 | 1  0 2 1 0   0  0
xo.3oo.3oo. xo. ... ... ...&#x  & ♦  8  1 | 12   4   8  0  0 |  8   6   0  12   4   0   0   0   0  0  0 |  2   4   0   0   8   6    0   0   0  0  0   0   0    0   0    0  0 |  1   0   0 0  2   4   0   0   0   0   0   0   0   0   0   0   0    0   0   0 |  *   *  * 48   *   *   *   *   *   *   *  *   *   *   *   *   *    *   * |  0 0  4   0   0   0  0  0   0   0   0   0   0 | 0  4 0 0 0   0  0
xo.3oo.3oo. ... ox. ... ...&#x  & ♦  4  2 |  6   0   8  0  1 |  4   0   0  12   0   4   0   0   0  0  0 |  1   0   0   0   8   0    6   0   0  0  0   0   0    0   0    0  0 |  0   0   0 0  2   0   4   0   0   0   0   0   0   0   0   0   0    0   0   0 |  *   *  *  * 192   *   *   *   *   *   *  *   *   *   *   *   *    *   * |  0 0  1   2   0   0  0  0   0   0   0   0   0 | 0  2 0 0 1   0  0
xo.3oo. ... xo.3ox. ... ...&#x  & ♦  9  3 |  9   9  18  0  3 |  3   9   3  18   9   9   0   0   0  1  0 |  0   3   3   0   6   9    9   3   0  0  0   0   0    0   0    0  0 |  0   1   0 0  0   3   3   3   0   0   0   0   0   0   0   0   0    0   0   0 |  *   *  *  *   * 256   *   *   *   *   *  *   *   *   *   *   *    *   * |  0 0  1   0   2   0  0  0   1   0   0   0   0 | 0  2 0 0 0   2  0
xo.3oo. ... ... ox.3oo. ...&#x  & ♦  3  3 |  3   0   9  0  3 |  1   0   0   9   0   9   0   0   0  0  1 |  0   0   0   0   3   0    9   0   3  0  0   0   0    0   0    0  0 |  0   0   0 0  0   0   3   0   3   0   0   0   0   0   0   0   0    0   0   0 |  *   *  *  *   *   * 512   *   *   *   *  *   *   *   *   *   *    *   * |  0 0  0   1   1   0  0  0   0   1   0   0   0 | 0  1 0 0 1   1  0
xo. ... ... xo.3ox.3oo. ...&#x  & ♦  8  6 |  4  12  24  0 12 |  0   6   8  12  12  24   0   0   0  4  4 |  0   0   4   2   0   6   12   8   8  0  0   0   0    0   0    0  1 |  0   0   1 0  0   0   0   4   4   2   0   0   0   0   0   0   0    0   0   0 |  *   *  *  *   *   *   * 192   *   *   *  *   *   *   *   *   *    *   * |  0 0  0   0   2   0  0  0   0   0   0   0   2 | 0  1 0 0 0   2  1
x.o3o.o ... x.x3o.o ... ...&#x  & ♦ 12  0 |  9  12   0  9  0 |  3   9   4   0   0   0   9   9   0  0  0 |  0   3   3   0   0   0    0   0   0  3  0   9   3    0   0    0  0 |  0   1   0 0  0   0   0   0   0   0   3   0   3   0   0   0   0    0   0   0 |  *   *  *  *   *   *   *   * 256   *   *  *   *   *   *   *   *    *   * |  0 0  0   0   0   2  0  0   1   0   0   0   0 | 0  0 1 0 0   2  0
x.o ... o.x x.x3o.o ... ...&#x    ♦ 12  0 |  6  12   0 12  0 |  0   6   4   0   0   0  12  12   0  0  0 |  0   0   2   0   0   0    0   0   0  0  3  12   4    0   0    0  0 |  0   0   0 0  0   0   0   0   0   0   0   3   4   0   0   0   0    0   0   0 |  *   *  *  *   *   *   *   *   * 192   *  *   *   *   *   *   *    *   * |  0 0  0   0   0   0  2  0   0   0   1   0   0 | 0  0 0 1 0   0  2
x.o ... ... x.x3o.o3o.o ...&#x  & ♦ 12  0 |  4  18   0  8  0 |  0   6  12   0   0   0   4  12   0  0  0 |  0   0   4   3   0   0    0   0   0  0  0   6   8    0   0    0  0 |  0   0   1 0  0   0   0   0   0   0   0   0   4   2   0   0   0    0   0   0 |  *   *  *  *   *   *   *   *   *   * 384  *   *   *   *   *   *    *   * |  0 0  0   0   0   1  1  1   0   0   0   0   1 | 0  0 1 1 0   1  1
... ... ... x.x3o.o3o.o4o.o&#x    ♦ 16  0 |  0  48   0  8  0 |  0   0  64   0   0   0   0  24   0  0  0 |  0   0   0  32   0   0    0   0   0  0  0   0  32    0   0    0  0 |  0   0   0 2  0   0   0   0   0   0   0   0   0  16   0   0   0    0   0   0 |  *   *  *  *   *   *   *   *   *   *   * 12   *   *   *   *   *    *   * |  0 0  0   0   0   0  0  4   0   0   0   0   0 | 0  0 2 2 0   0  0
xoo3ooo ... xox ... ... ...&#x  & ♦  8  1 |  6   4   8  6  0 |  2   3   0   6   4   0   6   3   6  0  0 |  0   1   0   0   2   3    0   0   0  2  0   3   0    6   3    0  0 |  0   0   0 0  0   1   0   0   0   0   1   0   0   0   2   0   3    0   0   0 |  *   *  *  *   *   *   *   *   *   *   *  * 192   *   *   *   *    *   * |  0 0  0   0   0   0  0  0   4   0   0   0   0 | 0  0 0 0 0   4  0
xoo3ooo ... ... oxo ... ...&#x  & ♦  4  2 |  3   0   8  3  1 |  1   0   0   6   0   4   3   0   6  0  0 |  0   0   0   0   2   0    3   0   0  1  0   0   0    6   0    3  0 |  0   0   0 0  0   0   1   0   0   0   0   0   0   0   2   0   0    3   0   0 |  *   *  *  *   *   *   *   *   *   *   *  *   * 768   *   *   *    *   * |  0 0  0   0   0   0  0  0   1   2   0   0   0 | 0  0 0 0 1   2  0
xoo ... oox xox ... ... ...&#x    ♦  8  1 |  4   4   8  8  0 |  0   2   0   4   4   0   8   4   8  0  0 |  0   0   0   0   0   2    0   0   0  0  2   4   0    8   4    0  0 |  0   0   0 0  0   0   0   0   0   0   0   1   0   0   0   2   4    0   0   0 |  *   *  *  *   *   *   *   *   *   *   *  *   *   * 144   *   *    *   * |  0 0  0   0   0   0  0  0   0   0   4   0   0 | 0  0 0 0 0   0  4
xoo ... oox ... oxo ... ...&#x    ♦  4  2 |  2   0   8  4  1 |  0   0   0   4   0   4   4   0   8  0  0 |  0   0   0   0   0   0    2   0   0  0  1   0   0    8   0    4  0 |  0   0   0 0  0   0   0   0   0   0   0   0   0   0   0   2   0    4   0   0 |  *   *  *  *   *   *   *   *   *   *   *  *   *   *   * 576   *    *   * |  0 0  0   0   0   0  0  0   0   0   1   2   0 | 0  0 0 0 1   0  2
xoo ... ... xox3oxo ... ...&#x  & ♦  9  3 |  3   9  18  6  3 |  0   3   3   6   9   9   3   6  12  1  0 |  0   0   1   0   0   3    3   3   0  0  0   3   2    6   6    6  0 |  0   0   0 0  0   0   0   1   0   0   0   0   1   0   0   0   3    3   2   0 |  *   *  *  *   *   *   *   *   *   *   *  *   *   *   *   * 768    *   * |  0 0  0   0   0   0  0  0   1   0   1   0   2 | 0  0 0 0 0   2  2
xoo ... ... ... oxo3ooo ...&#x  & ♦  3  3 |  1   0   9  2  3 |  0   0   0   3   0   9   1   0   6  0  1 |  0   0   0   0   0   0    3   0   3  0  0   0   0    3   0    6  0 |  0   0   0 0  0   0   0   0   1   0   0   0   0   0   0   0   0    3   0   2 |  *   *  *  *   *   *   *   *   *   *   *  *   *   *   *   *   * 1536   * |  0 0  0   0   0   0  0  0   0   1   0   1   1 | 0  0 0 0 1   1  1
... ... ... xox3oxo3ooo ...&#x    ♦  8  6 |  0  12  24  4 12 |  0   0   8   0  12  24   0   6  12  4  4 |  0   0   0   2   0   0    0   8   8  0  0   0   4    0   6   12  1 |  0   0   0 0  0   0   0   0   0   2   0   0   0   1   0   0   0    0   4   4 |  *   *  *  *   *   *   *   *   *   *   *  *   *   *   *   *   *    * 192 |  0 0  0   0   0   0  0  0   0   0   0   0   4 | 0  0 0 0 0   2  2
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x..3o..3o.. x..3o..3o.. ...     & ♦ 16  0 | 24  24   0  0  0 | 16  36  16   0   0   0   0   0   0  0  0 |  4  24  24   4   0   0    0   0   0  0  0   0   0    0   0    0  0 |  6  16   6 0  0   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 |  4   4  0  0   0   0   0   0   0   0   0  0   0   0   0   0   0    0   0 | 32 *  *   *   *   *  *  *   *   *   *   *   * | 1  1 0 0 0   0  0
x..3o.. ... x..3o..3o..4o..     & ♦ 24  0 | 24  72   0  0  0 |  8  72  96   0   0   0   0   0   0  0  0 |  0  24  96  48   0   0    0   0   0  0  0   0   0    0   0    0  0 |  0  32  48 3  0   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 |  0  16  3  0   0   0   0   0   0   0   0  0   0   0   0   0   0    0   0 |  * 8  *   *   *   *  *  *   *   *   *   *   * | 1  0 1 0 0   0  0
xo.3oo.3oo. xo.3ox. ... ...&#x  & ♦ 12  3 | 18  12  24  0  3 | 12  18   4  36  12  12   0   0   0  1  0 |  3  12   6   0  24  18   18   4   0  0  0   0   0    0   0    0  0 |  3   4   0 0  6  12  12   6   0   0   0   0   0   0   0   0   0    0   0   0 |  1   0  0  3   3   4   0   0   0   0   0  0   0   0   0   0   0    0   0 |  * * 64   *   *   *  *  *   *   *   *   *   * | 0  2 0 0 0   0  0
xo.3oo.3oo. ... ox.3oo. ...&#x  & ♦  4  3 |  6   0  12  0  3 |  4   0   0  18   0  12   0   0   0  0  1 |  1   0   0   0  12   0   18   0   4  0  0   0   0    0   0    0  0 |  0   0   0 0  3   0  12   0   6   0   0   0   0   0   0   0   0    0   0   0 |  0   0  0  0   3   0   4   0   0   0   0  0   0   0   0   0   0    0   0 |  * *  * 128   *   *  *  *   *   *   *   *   * | 0  1 0 0 1   0  0
xo.3oo. ... xo.3ox.3oo. ...&#x  & ♦ 12  6 | 12  18  36  0 12 |  4  18  12  36  18  36   0   0   0  4  4 |  0   6  12   3  12  18   36  12  12  0  0   0   0    0   0    0  1 |  0   4   3 0  0   6  12  12  12   3   0   0   0   0   0   0   0    0   0   0 |  0   1  0  0   0   4   4   3   0   0   0  0   0   0   0   0   0    0   0 |  * *  *   * 128   *  *  *   *   *   *   *   * | 0  1 0 0 0   1  0
x.o3o.o ... x.x3o.o3o.o ...&#x  & ♦ 16  0 | 12  24   0 12  0 |  4  18  16   0   0   0  12  18   0  0  0 |  0   6  12   4   0   0    0   0   0  4  0  18  12    0   0    0  0 |  0   4   3 0  0   0   0   0   0   0   6   0  12   3   0   0   0    0   0   0 |  0   1  0  0   0   0   0   0   4   0   3  0   0   0   0   0   0    0   0 |  * *  *   *   * 128  *  *   *   *   *   *   * | 0  0 1 0 0   1  0
x.o ... o.x x.x3o.o3o.o ...&#x    ♦ 16  0 |  8  24   0 16  0 |  0  12  16   0   0   0  16  24   0  0  0 |  0   0   8   4   0   0    0   0   0  0  4  24  16    0   0    0  0 |  0   0   2 0  0   0   0   0   0   0   0   6  16   4   0   0   0    0   0   0 |  0   0  0  0   0   0   0   0   0   4   4  0   0   0   0   0   0    0   0 |  * *  *   *   *   * 96  *   *   *   *   *   * | 0  0 0 1 0   0  1
x.o ... ... x.x3o.o3o.o4o.o&#x  & ♦ 24  0 |  8  72   0 16  0 |  0  24  96   0   0   0   8  48   0  0  0 |  0   0  32  48   0   0    0   0   0  0  0  24  64    0   0    0  0 |  0   0  16 3  0   0   0   0   0   0   0   0  32  32   0   0   0    0   0   0 |  0   0  1  0   0   0   0   0   0   0  16  2   0   0   0   0   0    0   0 |  * *  *   *   *   *  * 24   *   *   *   *   * | 0  0 1 1 0   0  0
xoo3ooo ... xox3oxo ... ...&#x  & ♦ 12  3 |  9  12  24  9  3 |  3   9   4  18  12  12   9   9  18  1  0 |  0   3   3   0   6   9    9   4   0  3  0   9   3   18   9    9  0 |  0   1   0 0  0   3   3   3   0   0   3   0   3   0   6   0   9    9   3   0 |  0   0  0  0   0   1   0   0   1   0   0  0   3   3   0   0   3    0   0 |  * *  *   *   *   *  *  * 256   *   *   *   * | 0  0 0 0 0   2  0
xoo3ooo ... ... oxo3ooo ...&#x  & ♦  4  3 |  3   0  12  3  3 |  1   0   0   9   0  12   3   0   9  0  1 |  0   0   0   0   3   0    9   0   4  1  0   0   0    9   0    9  0 |  0   0   0 0  0   0   3   0   3   0   0   0   0   0   3   0   0    9   0   3 |  0   0  0  0   0   0   1   0   0   0   0  0   0   3   0   0   0    3   0 |  * *  *   *   *   *  *  *   * 512   *   *   * | 0  0 0 0 1   1  0
xoo ... oox xox3oxo ... ...&#x    ♦ 12  3 |  6  12  24 12  3 |  0   6   4  12  12  12  12  12  24  1  0 |  0   0   2   0   0   6    6   4   0  0  3  12   4   24  12   12  0 |  0   0   0 0  0   0   0   2   0   0   0   3   4   0   0   6  12   12   4   0 |  0   0  0  0   0   0   0   0   0   1   0  0   0   0   3   3   4    0   0 |  * *  *   *   *   *  *  *   *   * 192   *   * | 0  0 0 0 0   0  2
xoo ... oox ... oxo3ooo ...&#x    ♦  4  3 |  2   0  12  4  3 |  0   0   0   6   0  12   4   0  12  0  1 |  0   0   0   0   0   0    6   0   4  0  1   0   0   12   0   12  0 |  0   0   0 0  0   0   0   0   2   0   0   0   0   0   0   3   0   12   0   4 |  0   0  0  0   0   0   0   0   0   0   0  0   0   0   0   3   0    4   0 |  * *  *   *   *   *  *  *   *   *   * 384   * | 0  0 0 0 1   0  1
xoo ... ... xox3oxo3ooo ...&#x  & ♦ 12  6 |  4  18  36  8 12 |  0   6  12  12  18  36   4  12  24  4  4 |  0   0   4   3   0   6   12  12  12  0  0   6   8   12  12   24  1 |  0   0   1 0  0   0   0   4   4   3   0   0   4   2   0   0   6   12   8   8 |  0   0  0  0   0   0   0   1   0   0   1  0   0   0   0   0   4    4   2 |  * *  *   *   *   *  *  *   *   *   *   * 384 | 0  0 0 0 0   1  1
----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------
x..3o..3o.. x..3o..3o..4o..     & ♦ 32  0 | 48  96   0  0  0 | 32 144 128   0   0   0   0   0   0  0  0 |  8  96 192  64   0   0    0   0   0  0  0   0   0    0   0    0  0 | 24 128  96 4  0   0   0   0   0   0   0   0   0   0   0   0   0    0   0   0 | 32  64  6  0   0   0   0   0   0   0   0  0   0   0   0   0   0    0   0 | 16 4  0   0   0   0  0  0   0   0   0   0   0 | 2  * * * *   *  *
xo.3oo.3oo. xo.3ox.3oo. ...&#x  & ♦ 16  6 | 24  24  48  0 12 | 16  36  16  72  24  48   0   0   0  4  4 |  4  24  24   4  48  36   72  16  16  0  0   0   0    0   0    0  1 |  6  16   6 0 12  24  48  24  24   4   0   0   0   0   0   0   0    0   0   0 |  4   4  0  6  12  16  16   6   0   0   0  0   0   0   0   0   0    0   0 |  1 0  4   4   4   0  0  0   0   0   0   0   0 | * 32 * * *   *  *
x.o3o.o ... x.x3o.o3o.o4o.o&#x  & ♦ 32  0 | 24  96   0 24  0 |  8  72 128   0   0   0  24  72   0  0  0 |  0  24  96  64   0   0    0   0   0  8  0  72  96    0   0    0  0 |  0  32  48 4  0   0   0   0   0   0  24   0  96  48   0   0   0    0   0   0 |  0  16  3  0   0   0   0   0  32   0  48  3   0   0   0   0   0    0   0 |  0 1  0   0   0  16  0  3   0   0   0   0   0 | *  * 8 * *   *  *
x.o ... o.x x.x3o.o3o.o4o.o&#x    ♦ 32  0 | 16  96   0 32  0 |  0  48 128   0   0   0  32  96   0  0  0 |  0   0  64  64   0   0    0   0   0  0  8  96 128    0   0    0  0 |  0   0  32 4  0   0   0   0   0   0   0  24 128  64   0   0   0    0   0   0 |  0   0  2  0   0   0   0   0   0  32  64  4   0   0   0   0   0    0   0 |  0 0  0   0   0   0 16  4   0   0   0   0   0 | *  * * 6 *   *  *
xoo3ooo3oox ... oxo3ooo4ooo&#xt   ♦  8  6 | 12   0  48 12 12 |  8   0   0  72   0  96  24   0  72  0  8 |  2   0   0   0  48   0  144   0  64  8  6   0   0  144   0  144  0 |  0   0   0 0 12   0  96   0  96   0   0   0   0   0  48  36   0  288   0  96 |  0   0  0  0  24   0  64   0   0   0   0  0   0  96   0  72   0  192   0 |  0 0  0  16   0   0  0  0   0  64   0  48   0 | *  * * * 8   *  *
xoo3ooo ... xox3oxo3ooo ...&#x  & ♦ 16  6 | 12  24  48 12 12 |  4  18  16  36  24  48  12  18  36  4  4 |  0   6  12   4  12  18   36  16  16  4  0  18  12   36  18   36  1 |  0   4   3 0  0   6  12  12  12   4   6   0  12   3  12   0  18   36  12  12 |  0   1  0  0   0   4   4   3   4   0   3  0   6  12   0   0  12   12   3 |  0 0  0   0   1   1  0  0   4   4   0   0   3 | *  * * * * 128  *
xoo ... oox xox3oxo3ooo ...&#x    ♦ 16  6 |  8  24  48 16 12 |  0  12  16  24  24  48  16  24  48  4  4 |  0   0   8   4   0  12   24  16  16  0  4  24  16   48  24   48  1 |  0   0   2 0  0   0   0   8   8   4   0   6  16   4   0  12  24   48  16  16 |  0   0  0  0   0   0   0   2   0   4   4  0   0   0   6  12  16   16   4 |  0 0  0   0   0   0  1  0   0   0   4   4   4 | *  * * * *   * 96
```

```ox3xo3oo4oo ox3oo3oo4oo&#zx   → heights = 0
(tegum sum of an ico and a hexdip)

o.3o.3o.4o. o.3o.3o.4o.     | 24  * |  8  16   0   0 |  4  8   8  64   48   0   0   0 |  4  32  24  64  192   64   0   0   0   0 |  32  96  32  192  256  32 0   0    0   0 |  96  128  16  256  128  0   0   0 | 128  64  128  0   0 |  64 2  0
.o3.o3.o4.o .o3.o3.o4.o     |  * 64 |  0   6   6   6 |  0  0   6  12   36  12  36  12 |  0  12  36   8   72   72   8  72  72   8 |   8  72  72   48  144  48 1  48  144  48 |  48  144  48   96   96  6  96  96 |  96  96   64 12  64 |  64 1  8
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
.. x. .. .. .. .. .. ..     |  2  0 | 96   *   *   * |  1  2   0   8    0   0   0   0 |  2   8   0  16   24    0   0   0   0   0 |  16  24   0   48   32   0 0   0    0   0 |  48   32   0   64   16  0   0   0 |  64  16   32  0   0 |  32 1  0
oo3oo3oo4oo oo3oo3oo4oo&#x  |  1  1 |  * 384   *   * |  0  0   1   4    6   0   0   0 |  0   4   6   4   24   12   0   0   0   0 |   4  24  12   24   48   8 0   0    0   0 |  24   48   8   48   32  0   0   0 |  48  32   32  0   0 |  32 1  0
.x .. .. .. .. .. .. ..     |  0  2 |  *   * 192   * |  0  0   1   0    0   4   6   0 |  0   4   6   0    0    0   4  24  12   0 |   4  24  12    0    0   0 1  24   48   8 |  24   48   8    0    0  6  48  32 |  48  32    0 12  32 |  32 0  8
.. .. .. .. .x .. .. ..     |  0  2 |  *   *   * 192 |  0  0   0   0    6   0   6   4 |  0   0   6   0   12   24   0  12  24   4 |   0  12  24    8   48  24 0   8   48  24 |   8   48  24   32   48  1  32  48 |  32  48   32  4  32 |  32 1  4
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
o.3x. .. .. .. .. .. ..     |  3  0 |  3   0   0   0 | 32  *   *   *    *   *   *   * |  2   8   0   0    0    0   0   0   0   0 |  16  24   0    0    0   0 0   0    0   0 |  48   32   0    0    0  0   0   0 |  64  16    0  0   0 |  32 0  0
.. x.3o. .. .. .. .. ..     |  3  0 |  3   0   0   0 |  * 64   *   *    *   *   *   * |  1   0   0   8    0    0   0   0   0   0 |   8   0   0   24    0   0 0   0    0   0 |  24    0   0   32    0  0   0   0 |  32   0   16  0   0 |  16 1  0
ox .. .. .. .. .. .. ..&#x  |  1  2 |  0   2   1   0 |  *  * 192   *    *   *   *   * |  0   4   6   0    0    0   0   0   0   0 |   4  24  12    0    0   0 0   0    0   0 |  24   48   8    0    0  0   0   0 |  48  32    0  0   0 |  32 0  0
.. xo .. .. .. .. .. ..&#x  |  2  1 |  1   2   0   0 |  *  *   * 768    *   *   *   * |  0   1   0   2    6    0   0   0   0   0 |   2   6   0   12   12   0 0   0    0   0 |  12   12   0   24    8  0   0   0 |  24   8   16  0   0 |  16 1  0
.. .. .. .. ox .. .. ..&#x  |  1  2 |  0   2   0   1 |  *  *   *   * 1152   *   *   * |  0   0   1   0    4    4   0   0   0   0 |   0   4   4    4   16   4 0   0    0   0 |   4   16   4   16   16  0   0   0 |  16  16   16  0   0 |  16 1  0
.x3.o .. .. .. .. .. ..     |  0  3 |  0   0   3   0 |  *  *   *   *    * 256   *   * |  0   1   0   0    0    0   2   6   0   0 |   2   6   0    0    0   0 1  12   12   0 |  12   12   0    0    0  6  24   8 |  24   8    0 12  16 |  16 0  8
.x .. .. .. .x .. .. ..     |  0  4 |  0   0   2   2 |  *  *   *   *    *   * 576   * |  0   0   1   0    0    0   0   4   4   0 |   0   4   4    0    0   0 0   4   16   4 |   4   16   4    0    0  1  16  16 |  16  16    0  4  16 |  16 0  4
.. .. .. .. .x3.o .. ..     |  0  3 |  0   0   0   3 |  *  *   *   *    *   *   * 256 |  0   0   0   0    0    6   0   0   6   2 |   0   0   6    0   12  12 0   0   12  12 |   0   12  12    8   24  0   8  24 |   8  24   16  1  16 |  16 1  2
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
o.3x.3o. .. .. .. .. ..     ♦  6  0 | 12   0   0   0 |  4  4   0   0    0   0   0   0 | 16   *   *   *    *    *   *   *   *   * ♦   8   0   0    0    0   0 0   0    0   0 |  24    0   0    0    0  0   0   0 |  32   0    0  0   0 |  16 0  0
ox3xo .. .. .. .. .. ..&#x  ♦  3  3 |  3   6   3   0 |  1  0   3   3    0   1   0   0 |  * 256   *   *    *    *   *   *   *   * |   2   6   0    0    0   0 0   0    0   0 |  12   12   0    0    0  0   0   0 |  24   8    0  0   0 |  16 0  0
ox .. .. .. ox .. .. ..&#x  ♦  1  4 |  0   4   2   2 |  0  0   2   0    2   0   1   0 |  *   * 576   *    *    *   *   *   *   * |   0   4   4    0    0   0 0   0    0   0 |   4   16   4    0    0  0   0   0 |  16  16    0  0   0 |  16 0  0
.. xo3oo .. .. .. .. ..&#x  ♦  3  1 |  3   3   0   0 |  0  1   0   3    0   0   0   0 |  *   *   * 512    *    *   *   *   *   * |   1   0   0    6    0   0 0   0    0   0 |   6    0   0   12    0  0   0   0 |  12   0    8  0   0 |   8 1  0
.. xo .. .. ox .. .. ..&#x  ♦  2  2 |  1   4   0   1 |  0  0   0   2    2   0   0   0 |  *   *   *   * 2304    *   *   *   *   * |   0   1   0    2    4   0 0   0    0   0 |   2    4   0    8    4  0   0   0 |   8   4    8  0   0 |   8 1  0
.. .. .. .. ox3oo .. ..&#x  ♦  1  3 |  0   3   0   3 |  0  0   0   0    3   0   0   1 |  *   *   *   *    * 1536   *   *   *   * |   0   0   1    0    4   2 0   0    0   0 |   0    4   2    4    8  0   0   0 |   4   8    8  0   0 |   8 1  0
.x3.o3.o .. .. .. .. ..     ♦  0  4 |  0   0   6   0 |  0  0   0   0    0   4   0   0 |  *   *   *   *    *    * 128   *   *   * |   1   0   0    0    0   0 1   6    0   0 |   6    0   0    0    0  6  12   0 |  12   0    0 12   8 |   8 0  8
.x3.o .. .. .x .. .. ..     ♦  0  6 |  0   0   6   3 |  0  0   0   0    0   2   3   0 |  *   *   *   *    *    *   * 768   *   * |   0   1   0    0    0   0 0   2    4   0 |   2    4   0    0    0  1   8   4 |   8   4    0  4   8 |   8 0  4
.x .. .. .. .x3.o .. ..     ♦  0  6 |  0   0   3   6 |  0  0   0   0    0   0   3   2 |  *   *   *   *    *    *   *   * 768   * |   0   0   1    0    0   0 0   0    4   2 |   0    4   2    0    0  0   4   8 |   4   8    0  1   8 |   8 0  2
.. .. .. .. .x3.o3.o ..     ♦  0  4 |  0   0   0   6 |  0  0   0   0    0   0   0   4 |  *   *   *   *    *    *   *   *   * 128 |   0   0   0    0    0   6 0   0    0   6 |   0    0   6    0   12  0   0  12 |   0  12    8  0   8 |   8 1  1
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
ox3xo3oo .. .. .. .. ..&#x  ♦  6  4 | 12  12   6   0 |  4  4   6  12    0   4   0   0 |  1   4   0   4    0    0   1   0   0   0 | 128   *   *    *    *   * *   *    *   * ♦   6    0   0    0    0  0   0   0 |  12   0    0  0   0 |   8 0  0
ox3xo .. .. ox .. .. ..&#x  ♦  3  6 |  3  12   6   3 |  1  0   6   6    6   2   3   0 |  0   2   3   0    3    0   0   1   0   0 |   * 768   *    *    *   * *   *    *   * |   2    4   0    0    0  0   0   0 |   8   4    0  0   0 |   8 0  0
ox .. .. .. ox3oo .. ..&#x  ♦  1  6 |  0   6   3   6 |  0  0   3   0    6   0   3   2 |  0   0   3   0    0    2   0   0   1   0 |   *   * 768    *    *   * *   *    *   * |   0    4   2    0    0  0   0   0 |   4   8    0  0   0 |   8 0  0
.. xo3oo .. ox .. .. ..&#x  ♦  3  2 |  3   6   0   1 |  0  1   0   6    3   0   0   0 |  0   0   0   2    3    0   0   0   0   0 |   *   *   * 1536    *   * *   *    *   * |   1    0   0    4    0  0   0   0 |   4   0    4  0   0 |   4 1  0
.. xo .. .. ox3oo .. ..&#x  ♦  2  3 |  1   6   0   3 |  0  0   0   3    6   0   0   1 |  0   0   0   0    3    2   0   0   0   0 |   *   *   *    * 3072   * *   *    *   * |   0    1   0    2    2  0   0   0 |   2   2    4  0   0 |   4 1  0
.. .. .. .. ox3oo3oo ..&#x  ♦  1  4 |  0   4   0   6 |  0  0   0   0    6   0   0   4 |  0   0   0   0    0    4   0   0   0   1 |   *   *   *    *    * 768 *   *    *   * |   0    0   1    0    4  0   0   0 |   0   4    4  0   0 |   4 1  0
.x3.o3.o4.o .. .. .. ..     ♦  0  8 |  0   0  24   0 |  0  0   0   0    0  32   0   0 |  0   0   0   0    0    0  16   0   0   0 |   *   *   *    *    *   * 8   *    *   * ♦   0    0   0    0    0  6   0   0 |   0   0    0 12   0 |   0 0  8
.x3.o3.o .. .x .. .. ..     ♦  0  8 |  0   0  12   4 |  0  0   0   0    0   8   6   0 |  0   0   0   0    0    0   2   4   0   0 |   *   *   *    *    *   * * 384    *   * |   1    0   0    0    0  1   4   0 |   4   0    0  4   4 |   4 0  4
.x3.o .. .. .x3.o .. ..     ♦  0  9 |  0   0   9   9 |  0  0   0   0    0   3   9   3 |  0   0   0   0    0    0   0   3   3   0 |   *   *   *    *    *   * *   * 1024   * |   0    1   0    0    0  0   2   2 |   2   2    0  1   4 |   4 0  2
.x .. .. .. .x3.o3.o ..     ♦  0  8 |  0   0   4  12 |  0  0   0   0    0   0   6   8 |  0   0   0   0    0    0   0   0   4   2 |   *   *   *    *    *   * *   *    * 384 |   0    0   1    0    0  0   0   4 |   0   4    0  0   4 |   4 0  1
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
ox3xo3oo .. ox .. .. ..&#x  ♦  6  8 | 12  24  12   4 |  4  4  12  24   12   8   6   0 |  1   8   6   8   12    0   2   4   0   0 |   2   4   0    4    0   0 0   1    0   0 | 384    *   *    *    *  *   *   * |   4   0    0  0   0 |   4 0  0
ox3xo .. .. ox3oo .. ..&#x  ♦  3  9 |  3  18   9   9 |  1  0   9   9   18   3   9   3 |  0   3   9   0    9    6   0   3   3   0 |   0   3   3    0    3   0 0   0    1   0 |   * 1024   *    *    *  *   *   * |   2   2    0  0   0 |   4 0  0
ox .. .. .. ox3oo3oo ..&#x  ♦  1  8 |  0   8   4  12 |  0  0   4   0   12   0   6   8 |  0   0   6   0    0    8   0   0   4   2 |   0   0   4    0    0   2 0   0    0   1 |   *    * 384    *    *  *   *   * |   0   4    0  0   0 |   4 0  0
.. xo3oo .. ox3oo .. ..&#x  ♦  3  3 |  3   9   0   3 |  0  1   0   9    9   0   0   1 |  0   0   0   3    9    3   0   0   0   0 |   0   0   0    3    3   0 0   0    0   0 |   *    *   * 2048    *  *   *   * |   1   0    2  0   0 |   2 1  0
.. xo .. .. ox3oo3oo ..&#x  ♦  2  4 |  1   8   0   6 |  0  0   0   4   12   0   0   4 |  0   0   0   0    6    8   0   0   0   1 |   0   0   0    0    4   2 0   0    0   0 |   *    *   *    * 1536  *   *   * |   0   1    2  0   0 |   2 1  0
.x3.o3.o4.o .x .. .. ..     ♦  0 16 |  0   0  48   8 |  0  0   0   0    0  64  24   0 |  0   0   0   0    0    0  32  32   0   0 |   0   0   0    0    0   0 2  16    0   0 |   *    *   *    *    * 24   *   * |   0   0    0  4   0 |   0 0  4
.x3.o3.o .. .x3.o .. ..     ♦  0 12 |  0   0  18  12 |  0  0   0   0    0  12  18   4 |  0   0   0   0    0    0   3  12   6   0 |   0   0   0    0    0   0 0   3    4   0 |   *    *   *    *    *  * 512   * |   1   0    0  1   2 |   2 0  2
.x3.o .. .. .x3.o3.o ..     ♦  0 12 |  0   0  12  18 |  0  0   0   0    0   4  18  12 |  0   0   0   0    0    0   0   6  12   3 |   0   0   0    0    0   0 0   0    4   3 |   *    *   *    *    *  *   * 512 |   0   1    0  0   2 |   2 0  1
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
ox3xo3oo .. ox3oo .. ..&#x  ♦  6 12 | 12  36  18  12 |  4  4  18  36   36  12  18   4 |  1  12  18  12   36   12   3  12   6   0 |   3  12   6   12   12   0 0   3    4   0 |   3    4   0    4    0  0   1   0 | 512   *    *  *   * |   2 0  0
ox3xo .. .. ox3oo3oo ..&#x  ♦  3 12 |  3  24  12  18 |  1  0  12  12   36   4  18  12 |  0   4  18   0   18   24   0   6  12   3 |   0   6  12    0   12   6 0   0    4   3 |   0    4   3    0    3  0   0   1 |   * 512    *  *   * |   2 0  0
.. xo3oo .. ox3oo3oo ..&#x  ♦  3  4 |  3  12   0   6 |  0  1   0  12   18   0   0   4 |  0   0   0   4   18   12   0   0   0   1 |   0   0   0    6   12   3 0   0    0   0 |   0    0   0    4    3  0   0   0 |   *   * 1024  *   * |   1 1  0
.x3.o3.o4.o .x3.o .. ..     ♦  0 24 |  0   0  72  24 |  0  0   0   0    0  96  72   8 |  0   0   0   0    0    0  48  96  24   0 |   0   0   0    0    0   0 3  48   32   0 |   0    0   0    0    0  3  16   0 |   *   *    * 32   * |   0 0  2
.x3.o3.o .. .x3.o3.o ..     ♦  0 16 |  0   0  24  24 |  0  0   0   0    0  16  36  16 |  0   0   0   0    0    0   4  24  24   4 |   0   0   0    0    0   0 0   6   16   6 |   0    0   0    0    0  0   4   4 |   *   *    *  * 256 |   1 0  1
----------------------------+-------+----------------+--------------------------------+------------------------------------------+------------------------------------------+-----------------------------------+---------------------+---------
ox3xo3oo .. ox3oo3oo ..&#x  ♦  6 16 | 12  48  24  24 |  4  4  24  48   72  16  36  16 |  1  16  36  16   72   48   4  24  24   4 |   4  24  24   24   48  12 0   6   16   6 |   6   16   6   16   12  0   4   4 |   4   4    4  0   1 | 256 *  *
.. xo3oo4oo ox3oo3oo4oo&#zx ♦  6  8 | 12  48   0  24 |  0  8   0  96  144   0   0  32 |  0   0   0  64  288  192   0   0   0  16 |   0   0   0  192  384  96 0   0    0   0 |   0    0   0  256  192  0   0   0 |   0   0  128  0   0 |   * 8  *
.x3.o3.o4.o .x3.o3.o ..     ♦  0 32 |  0   0  96  48 |  0  0   0   0    0 128 144  32 |  0   0   0   0    0    0  64 192  96   8 |   0   0   0    0    0   0 4  96  128  24 |   0    0   0    0    0  6  64  32 |   0   0    0  4  16 |   * * 16
```