Acronym barz (old: drhio)
Name birectified hecatonicosoctaexon
Circumradius sqrt(3/2) = 1.224745
Lace city
in approx. ASCII-art
 ``` ©   ``` ```t r t -- o3x3o3o3o4o (rag) r n r -- o3o3x3o3o4o (brag) t r t -- o3x3o3o3o4o (rag) where: t = x3o3o3o4o (tac) r = o3x3o3o4o (rat) n = o3o3x3o4o (nit) ```
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0)   & all permutations, all changes of sign
Confer
related segmentoexa:
ragabrag   scala   trahexpy   squarat
External

Incidence matrix according to Dynkin symbol

```o3o3x3o3o3o4o

. . . . . . . | 280 ♦   24 |   24   72 |   8   72   96 |  24   96   48 |  32  48  3 |  16  3
--------------+-----+------+-----------+---------------+---------------+------------+-------
. . x . . . . |   2 | 3360 |    2    6 |   1   12   12 |   6   24    8 |  12  16  1 |   8  2
--------------+-----+------+-----------+---------------+---------------+------------+-------
. o3x . . . . |   3 |    3 | 2240    * |   1    6    0 |   6   12    0 |  12   8  0 |   8  1
. . x3o . . . |   3 |    3 |    * 6720 |   0    2    4 |   1    8    4 |   4   8  1 |   4  2
--------------+-----+------+-----------+---------------+---------------+------------+-------
o3o3x . . . . ♦   4 |    6 |    4    0 | 560    *    * ♦   6    0    0 |  12   0  0 |   8  0
. o3x3o . . . ♦   6 |   12 |    4    4 |   * 3360    * |   1    4    0 |   4   4  0 |   4  1
. . x3o3o . . ♦   4 |    6 |    0    4 |   *    * 6720 |   0    2    2 |   1   4  1 |   2  2
--------------+-----+------+-----------+---------------+---------------+------------+-------
o3o3x3o . . . ♦  10 |   30 |   20   10 |   5    5    0 | 672    *    * |   4   0  0 |   4  0
. o3x3o3o . . ♦  10 |   30 |   10   20 |   0    5    5 |   * 2688    * |   1   2  0 |   2  1
. . x3o3o3o . ♦   5 |   10 |    0   10 |   0    0    5 |   *    * 2688 |   0   2  1 |   1  2
--------------+-----+------+-----------+---------------+---------------+------------+-------
o3o3x3o3o . . ♦  20 |   90 |   60   60 |  15   30   15 |   6    6    0 | 448   *  * |   2  0
. o3x3o3o3o . ♦  15 |   60 |   20   60 |   0   15   30 |   0    6    6 |   * 896  * |   1  1
. . x3o3o3o4o ♦  10 |   40 |    0   80 |   0    0   80 |   0    0   32 |   *   * 84 |   0  2
--------------+-----+------+-----------+---------------+---------------+------------+-------
o3o3x3o3o3o . ♦  35 |  210 |  140  210 |  35  105  105 |  21   42   21 |   7   7  0 | 128  *
. o3x3o3o3o4o ♦  60 |  480 |  160  960 |   0  240  960 |   0  192  384 |   0  64 12 |   * 14
```

```o3o3o *b3o3x3o3o

. . .    . . . . | 280 ♦   24 |   72   24 |   96   72   8 |   24   24   96  24 |  3  24  24  32 |  3  8  8
-----------------+-----+------+-----------+---------------+--------------------+----------------+---------
. . .    . x . . |   2 | 3360 |    6    2 |   12   12   1 |    4    4   24   6 |  1   8   8  12 |  2  4  4
-----------------+-----+------+-----------+---------------+--------------------+----------------+---------
. . .    o3x . . |   3 |    3 | 6720    * |    4    2   0 |    2    2    8   1 |  1   4   4   4 |  2  2  2
. . .    . x3o . |   3 |    3 |    * 2240 |    0    6   1 |    0    0   12   6 |  0   4   4  12 |  1  4  4
-----------------+-----+------+-----------+---------------+--------------------+----------------+---------
. o . *b3o3x . . ♦   4 |    6 |    4    0 | 6720    *   * |    1    1    2   0 |  1   2   2   1 |  2  1  1
. . .    o3x3o . ♦   6 |   12 |    4    4 |    * 3360   * |    0    0    4   1 |  0   2   2   4 |  1  2  2
. . .    . x3o3o ♦   4 |    6 |    0    4 |    *    * 560 ♦    0    0    0   6 |  0   0   0  12 |  0  4  4
-----------------+-----+------+-----------+---------------+--------------------+----------------+---------
o3o . *b3o3x . . ♦   5 |   10 |   10    0 |    5    0   0 | 1344    *    *   * |  1   2   0   0 |  2  1  0
. o3o *b3o3x . . ♦   5 |   10 |   10    0 |    5    0   0 |    * 1344    *   * |  1   0   2   0 |  2  0  1
. o . *b3o3x3o . ♦  10 |   30 |   20   10 |    5    5   0 |    *    * 2688   * |  0   1   1   1 |  1  1  1
. . .    o3x3o3o ♦  10 |   30 |   10   20 |    0    5   5 |    *    *    * 672 |  0   0   0   4 |  0  2  2
-----------------+-----+------+-----------+---------------+--------------------+----------------+---------
o3o3o *b3o3x . . ♦  10 |   40 |   80    0 |   80    0   0 |   16   16    0   0 | 84   *   *   * |  2  0  0
o3o . *b3o3x3o . ♦  15 |   60 |   60   20 |   30   15   0 |    6    0    6   0 |  * 448   *   * |  1  1  0
. o3o *b3o3x3o . ♦  15 |   60 |   60   20 |   30   15   0 |    0    6    6   0 |  *   * 448   * |  1  0  1
. o . *b3o3x3o3o ♦  20 |   90 |   60   60 |   15   30  15 |    0    0    6   6 |  *   *   * 448 |  0  1  1
-----------------+-----+------+-----------+---------------+--------------------+----------------+---------
o3o3o *b3o3x3o . ♦  60 |  480 |  960  160 |  960  240   0 |  192  192  192   0 | 12  32  32   0 | 14  *  *
o3o . *b3o3x3o3o ♦  35 |  210 |  210  140 |  105  105  35 |   21    0   42  21 |  0   7   0   7 |  * 64  *
. o3o *b3o3x3o3o ♦  35 |  210 |  210  140 |  105  105  35 |    0   21   42  21 |  0   0   7   7 |  *  * 64
```

```ooo3xox3oxo3ooo3ooo4ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(rag || pseudo brag || rag)

o..3o..3o..3o..3o..4o..     & | 120   * ♦  16   8    0 |   8   48  16   24   0    0 |  24   64   8   48   32   0   0   0 |  32  32  24   64   16   0   0 |  16  2  32  32  1  0 | 1  16  2
.o.3.o.3.o.3.o.3.o.4.o.       |   * 160 ♦   0   6   18 |   0    0   6   36  18   36 |   0    0   2   36   72   6  36  24 |   0   0  12   72   48  12  24 |   0  0  24  48  3  8 | 0  16  3
------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+---------
... x.. ... ... ... ...     & |   2   0 | 960   *    * |   1    6   1    0   0    0 |   6   12   1    6    0   0   0   0 |  12   8   6   12    0   0   0 |   8  1  12   8  0  0 | 1   8  1
oo.3oo.3oo.3oo.3oo.4oo.&#x  & |   1   1 |   * 960    * |   0    0   2    6   0    0 |   0    0   1   12   12   0   0   0 |   0   0   6   24    8   0   0 |   0  0  12  16  1  0 | 0   8  2
... ... .x. ... ... ...       |   0   2 |   *   * 1440 |   0    0   0    2   2    4 |   0    0   0    4    8   1   8   4 |   0   0   2   16    8   4   8 |   0  0   8  16  1  4 | 0   8  2
------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+---------
o..3x.. ... ... ... ...     & |   3   0 |   3   0    0 | 320    *   *    *   *    * |   6    0   1    0    0   0   0   0 |  12   0   6    0    0   0   0 |   8  0  12   0  0  0 | 1   8  0
... x..3o.. ... ... ...     & |   3   0 |   3   0    0 |   * 1920   *    *   *    * |   1    4   0    1    0   0   0   0 |   4   4   1    4    0   0   0 |   4  1   4   4  0  0 | 1   4  1
... xo. ... ... ... ...&#x  & |   2   1 |   1   2    0 |   *    * 960    *   *    * |   0    0   1    6    0   0   0   0 |   0   0   6   12    0   0   0 |   0  0  12   8  0  0 | 0   8  1
... ... ox. ... ... ...&#x  & |   1   2 |   0   2    1 |   *    *   * 2880   *    * |   0    0   0    2    4   0   0   0 |   0   0   1    8    4   0   0 |   0  0   4   8  1  0 | 0   4  2
... .o.3.x. ... ... ...       |   0   3 |   0   0    3 |   *    *   *    * 960    * |   0    0   0    2    0   1   4   0 |   0   0   2    8    0   4   4 |   0  0   8   8  0  4 | 0   8  1
... ... .x.3.o. ... ...       |   0   3 |   0   0    3 |   *    *   *    *   * 1920 |   0    0   0    0    2   0   2   2 |   0   0   0    4    4   1   4 |   0  0   2   8  1  2 | 0   4  2
------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+---------
o..3x..3o.. ... ... ...     & ♦   6   0 |  12   0    0 |   4    4   0    0   0    0 | 480    *   *    *    *   *   *   * |   4   0   1    0    0   0   0 |   4  0   4   0  0  0 | 1   4  0
... x..3o..3o.. ... ...     & ♦   4   0 |   6   0    0 |   0    4   0    0   0    0 |   * 1920   *    *    *   *   *   * |   1   2   0    1    0   0   0 |   2  1   1   2  0  0 | 1   2  1
oo.3xo. ... ... ... ...&#x  & ♦   3   1 |   3   3    0 |   1    0   3    0   0    0 |   *    * 320    *    *   *   *   * ♦   0   0   6    0    0   0   0 |   0  0  12   0  0  0 | 0   8  0
... xo.3ox. ... ... ...&#x  & ♦   3   3 |   3   6    3 |   0    1   3    3   1    0 |   *    *   * 1920    *   *   *   * |   0   0   1    4    0   0   0 |   0  0   4   4  0  0 | 0   4  1
... ... ox.3oo. ... ...&#x  & ♦   1   3 |   0   3    3 |   0    0   0    3   0    1 |   *    *   *    * 3840   *   *   * |   0   0   0    2    2   0   0 |   0  0   1   4  1  0 | 0   2  2
.o.3.o.3.x. ... ... ...       ♦   0   4 |   0   0    6 |   0    0   0    0   4    0 |   *    *   *    *    * 240   *   * ♦   0   0   2    0    0   4   0 |   0  0   8   0  0  4 | 0   8  0
... .o.3.x.3.o. ... ...       ♦   0   6 |   0   0   12 |   0    0   0    0   4    4 |   *    *   *    *    *   * 960   * |   0   0   0    2    0   1   2 |   0  0   2   4  0  2 | 0   4  1
... ... .x.3.o.3.o. ...       ♦   0   4 |   0   0    6 |   0    0   0    0   0    4 |   *    *   *    *    *   *   * 960 |   0   0   0    0    2   0   2 |   0  0   0   4  1  1 | 0   2  2
------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+---------
o..3x..3o..3o.. ... ...     & ♦  10   0 |  30   0    0 |  10   20   0    0   0    0 |   5    5   0    0    0   0   0   0 | 384   *   *    *    *   *   * |   2  0   1   0  0  0 | 1   2  0
... x..3o..3o..3o.. ...     & ♦   5   0 |  10   0    0 |   0   10   0    0   0    0 |   0    5   0    0    0   0   0   0 |   * 768   *    *    *   *   * |   1  1   0   1  0  0 | 1   1  1
oo.3xo.3ox. ... ... ...&#x  & ♦   6   4 |  12  12    6 |   4    4  12    6   4    0 |   1    0   4    4    0   1   0   0 |   *   * 480    *    *   *   * |   0  0   4   0  0  0 | 0   4  0
... xo.3ox.3oo. ... ...&#x  & ♦   4   6 |   6  12   12 |   0    4   6   12   4    4 |   0    1   0    4    4   0   1   0 |   *   *   * 1920    *   *   * |   0  0   1   2  0  0 | 0   2  1
... ... ox.3oo.3oo. ...&#x  & ♦   1   4 |   0   4    6 |   0    0   0    6   0    4 |   0    0   0    0    4   0   0   1 |   *   *   *    * 1920   *   * |   0  0   0   2  1  0 | 0   1  2
.o.3.o.3.x.3.o. ... ...       ♦   0  10 |   0   0   30 |   0    0   0    0  20   10 |   0    0   0    0    0   5   5   0 |   *   *   *    *    * 192   * |   0  0   2   0  0  2 | 0   4  0
... .o.3.x.3.o.3.o. ...       ♦   0  10 |   0   0   30 |   0    0   0    0  10   20 |   0    0   0    0    0   0   5   5 |   *   *   *    *    *   * 384 |   0  0   0   2  0  1 | 0   2  1
------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+---------
o..3x..3o..3o..3o.. ...     & ♦  15   0 |  60   0    0 |  20   60   0    0   0    0 |  15   30   0    0    0   0   0   0 |   6   6   0    0    0   0   0 | 128  *   *   *  *  * | 1   1  0
... x..3o..3o..3o..4o..     & ♦  10   0 |  40   0    0 |   0   80   0    0   0    0 |   0   80   0    0    0   0   0   0 |   0  32   0    0    0   0   0 |   * 24   *   *  *  * | 1   0  1
oo.3xo.3ox.3oo. ... ...&#x  & ♦  10  10 |  30  30   30 |  10   20  30   30  20   10 |   5    5  10   20   10   5   5   0 |   1   0   5    5    0   1   0 |   *  * 384   *  *  * | 0   2  0
... xo.3ox.3oo.3oo. ...&#x  & ♦   5  10 |  10  20   30 |   0   10  10   30  10   20 |   0    5   0   10   20   0   5   5 |   0   1   0    5    5   0   1 |   *  *   * 768  *  * | 0   1  1
... ... oxo3ooo3ooo4ooo&#xt   ♦   2   8 |   0  16   24 |   0    0   0   48   0   32 |   0    0   0    0   64   0   0  16 |   0   0   0    0   32   0   0 |   *  *   *   * 60  * | 0   0  2
.o.3.o.3.x.3.o.3.o. ...       ♦   0  20 |   0   0   90 |   0    0   0    0  60   60 |   0    0   0    0    0  15  30  15 |   0   0   0    0    0   6   6 |   *  *   *   *  * 64 | 0   2  0
------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+---------
o..3x..3o..3o..3o..4o..     & ♦  60   0 | 480   0    0 | 160  960   0    0   0    0 | 240  960   0    0    0   0   0   0 | 192 384   0    0    0   0   0 |  64 12   0   0  0  0 | 2   *  *
oo.3xo.3ox.3oo.3oo. ...&#x  & ♦  15  20 |  60  60   90 |  20   60  60   90  60   60 |  15   30  20   60   60  15  30  15 |   6   6  15   30   15   6   6 |   1  0   6   6  0  1 | * 128  *
... xox3oxo3ooo3ooo4ooo&#xt   ♦  20  40 |  80 160  240 |   0  160  80  480  80  320 |   0  160   0  160  640   0  80 160 |   0  64   0  160  320   0  32 |   0  2   0  64 10  0 | *   * 12
```

```ooo3ooo3ooo *b3oxo3xox3ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(rag || pseudo brag || rag)

o..3o..3o.. *b3o..3o..3o..     & | 120   * ♦  16   8    0 |   48   8   24  16    0   0 |   64  24   32   48   8   0   0   0   0 |  16  16  32   8   8   64  24   0   0   0 |  2  8  8  1  16  16  32  0  0 | 1  2  8  8
.o.3.o.3.o. *b3.o.3.o.3.o.       |   * 160 ♦   0   6   18 |    0   0   36   6   36  18 |    0   0   72   36   2  12  12  36   6 |   0   0   0  24  24   72  12  12  12  12 |  0  0  0  3  24  24  24  4  4 | 0  3  8  8
---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+-----------
... ... ...    ... x.. ...     & |   2   0 | 960   *    * |    6   1    0   1    0   0 |   12   6    0    6   1   0   0   0   0 |   4   4  12   0   0   12   6   0   0   0 |  1  4  4  0   4   4  12  0  0 | 1  1  4  4
oo.3oo.3oo. *b3oo.3oo.3oo.&#x  & |   1   1 |   * 960    * |    0   0    6   2    0   0 |    0   0   12   12   1   0   0   0   0 |   0   0   0   4   4   24   6   0   0   0 |  0  0  0  1   8   8  12  0  0 | 0  2  4  4
... ... ...    .x. ... ...       |   0   2 |   *   * 1440 |    0   0    2   0    4   2 |    0   0    8    4   0   2   2   8   1 |   0   0   0   4   4   16   2   4   4   4 |  0  0  0  1   8   8   8  2  2 | 0  2  4  4
---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+-----------
... ... ...    o..3x.. ...     & |   3   0 |   3   0    0 | 1920   *    *   *    *   * |    4   1    0    1   0   0   0   0   0 |   2   2   4   0   0    4   1   0   0   0 |  1  2  2  0   2   2   4  0  0 | 1  1  2  2
... ... ...    ... x..3o..     & |   3   0 |   3   0    0 |    * 320    *   *    *   * |    0   6    0    0   1   0   0   0   0 |   0   0  12   0   0    0   6   0   0   0 |  0  4  4  0   0   0  12  0  0 | 1  0  4  4
... ... ...    ox. ... ...&#x  & |   1   2 |   0   2    1 |    *   * 2880   *    *   * |    0   0    4    2   0   0   0   0   0 |   0   0   0   2   2    8   2   0   0   0 |  0  0  0  1   4   4   4  0  0 | 0  2  2  2
... ... ...    ... xo. ...&#x  & |   2   1 |   1   2    0 |    *   *    * 960    *   * |    0   0    0    6   1   0   0   0   0 |   0   0   0   0   0   12   6   0   0   0 |  0  0  0  0   4   4  12  0  0 | 0  1  4  4
... .o. ... *b3.x. ... ...       |   0   3 |   0   0    3 |    *   *    *   * 1920   * |    0   0    2    0   0   1   1   2   0 |   0   0   0   2   2    4   0   2   2   1 |  0  0  0  1   4   4   2  1  1 | 0  2  2  2
... ... ...    .x.3.o. ...       |   0   3 |   0   0    3 |    *   *    *   *    * 960 |    0   0    0    2   0   0   0   4   1 |   0   0   0   0   0    8   2   2   2   4 |  0  0  0  0   4   4   8  2  2 | 0  1  4  4
---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+-----------
... o.. ... *b3o..3x.. ...     & ♦   4   0 |   6   0    0 |    4   0    0   0    0   0 | 1920   *    *    *   *   *   *   *   * |   1   1   1   0   0    1   0   0   0   0 |  1  1  1  0   1   1   1  0  0 | 1  1  1  1
... ... ...    o..3x..3o..     & ♦   6   0 |  12   0    0 |    4   4    0   0    0   0 |    * 480    *    *   *   *   *   *   * |   0   0   4   0   0    0   1   0   0   0 |  0  2  2  0   0   0   4  0  0 | 1  0  2  2
... oo. ... *b3ox. ... ...&#x  & ♦   1   3 |   0   3    3 |    0   0    3   0    1   0 |    *   * 3840    *   *   *   *   *   * |   0   0   0   1   1    2   0   0   0   0 |  0  0  0  1   2   2   1  0  0 | 0  2  1  1
... ... ...    ox.3xo. ...&#x  & ♦   3   3 |   3   6    3 |    1   0    3   3    0   1 |    *   *    * 1920   *   *   *   *   * |   0   0   0   0   0    4   1   0   0   0 |  0  0  0  0   2   2   4  0  0 | 0  1  2  2
... ... ...    ... xo.3oo.&#x  & ♦   3   1 |   3   3    0 |    0   1    0   3    0   0 |    *   *    *    * 320   *   *   *   * ♦   0   0   0   0   0    0   6   0   0   0 |  0  0  0  0   0   0  12  0  0 | 0  0  4  4
.o.3.o. ... *b3.x. ... ...       ♦   0   4 |   0   0    6 |    0   0    0   0    4   0 |    *   *    *    *   * 480   *   *   * |   0   0   0   2   0    0   0   2   0   0 |  0  0  0  1   4   0   0  1  0 | 0  2  2  0
... .o.3.o. *b3.x. ... ...       ♦   0   4 |   0   0    6 |    0   0    0   0    4   0 |    *   *    *    *   *   * 480   *   * |   0   0   0   0   2    0   0   0   2   0 |  0  0  0  1   0   4   0  0  1 | 0  2  0  2
... .o. ... *b3.x.3.o. ...       ♦   0   6 |   0   0   12 |    0   0    0   0    4   4 |    *   *    *    *   *   *   * 960   * |   0   0   0   0   0    2   0   1   1   1 |  0  0  0  0   2   2   2  1  1 | 0  1  2  2
... ... ...    .x.3.o.3.o.       ♦   0   4 |   0   0    6 |    0   0    0   0    0   4 |    *   *    *    *   *   *   *   * 240 ♦   0   0   0   0   0    0   2   0   0   4 |  0  0  0  0   0   0   8  2  2 | 0  0  4  4
---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+-----------
o..3o.. ... *b3o..3x.. ...     & ♦   5   0 |  10   0    0 |   10   0    0   0    0   0 |    5   0    0    0   0   0   0   0   0 | 384   *   *   *   *    *   *   *   *   * |  1  1  0  0   1   0   0  0  0 | 1  1  1  0
... o..3o.. *b3o..3x.. ...     & ♦   5   0 |  10   0    0 |   10   0    0   0    0   0 |    5   0    0    0   0   0   0   0   0 |   * 384   *   *   *    *   *   *   *   * |  1  0  1  0   0   1   0  0  0 | 1  1  0  1
... o.. ... *b3o..3x..3o..     & ♦  10   0 |  30   0    0 |   20  10    0   0    0   0 |    5   5    0    0   0   0   0   0   0 |   *   * 384   *   *    *   *   *   *   * |  0  1  1  0   0   0   1  0  0 | 1  0  1  1
oo.3oo. ... *b3ox. ... ...&#x  & ♦   1   4 |   0   4    6 |    0   0    6   0    4   0 |    0   0    4    0   0   1   0   0   0 |   *   *   * 960   *    *   *   *   *   * |  0  0  0  1   2   0   0  0  0 | 0  2  1  0
... oo.3oo. *b3ox. ... ...&#x  & ♦   1   4 |   0   4    6 |    0   0    6   0    4   0 |    0   0    4    0   0   0   1   0   0 |   *   *   *   * 960    *   *   *   *   * |  0  0  0  1   0   2   0  0  0 | 0  2  0  1
... oo. ... *b3ox.3xo. ...&#x  & ♦   4   6 |   6  12   12 |    4   0   12   6    4   4 |    1   0    4    4   0   0   0   1   0 |   *   *   *   *   * 1920   *   *   *   * |  0  0  0  0   1   1   1  0  0 | 0  1  1  1
... ... ...    ox.3xo.3oo.&#x  & ♦   6   4 |  12  12    6 |    4   4    6  12    0   4 |    0   1    0    4   4   0   0   0   1 |   *   *   *   *   *    * 480   *   *   * |  0  0  0  0   0   0   4  0  0 | 0  0  2  2
.o.3.o. ... *b3.x.3.o. ...       ♦   0  10 |   0   0   30 |    0   0    0   0   20  10 |    0   0    0    0   0   5   0   5   0 |   *   *   *   *   *    *   * 192   *   * |  0  0  0  0   2   0   0  1  0 | 0  1  2  0
... .o.3.o. *b3.x.3.o. ...       ♦   0  10 |   0   0   30 |    0   0    0   0   20  10 |    0   0    0    0   0   0   5   5   0 |   *   *   *   *   *    *   *   * 192   * |  0  0  0  0   0   2   0  0  1 | 0  1  0  2
... .o. ... *b3.x.3.o.3.o.       ♦   0  10 |   0   0   30 |    0   0    0   0   10  20 |    0   0    0    0   0   0   0   5   5 |   *   *   *   *   *    *   *   *   * 192 |  0  0  0  0   0   0   2  1  1 | 0  0  2  2
---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+-----------
o..3o..3o.. *b3o..3x.. ...     & ♦  10   0 |  40   0    0 |   80   0    0   0    0   0 |   80   0    0    0   0   0   0   0   0 |  16  16   0   0   0    0   0   0   0   0 | 24  *  *  *   *   *   *  *  * | 1  1  0  0
o..3o.. ... *b3o..3x..3o..     & ♦  15   0 |  60   0    0 |   60  20    0   0    0   0 |   30  15    0    0   0   0   0   0   0 |   6   0   6   0   0    0   0   0   0   0 |  * 64  *  *   *   *   *  *  * | 1  0  1  0
... o..3o.. *b3o..3x..3o..     & ♦  15   0 |  60   0    0 |   60  20    0   0    0   0 |   30  15    0    0   0   0   0   0   0 |   0   6   6   0   0    0   0   0   0   0 |  *  * 64  *   *   *   *  *  * | 1  0  0  1
ooo3ooo3ooo *b3oxo ... ...&#xt   ♦   2   8 |   0  16   24 |    0   0   48   0   32   0 |    0   0   64    0   0   8   8   0   0 |   0   0   0  16  16    0   0   0   0   0 |  *  *  * 60   *   *   *  *  * | 0  2  0  0
oo.3oo. ... *b3ox.3xo. ...&#x  & ♦   5  10 |  10  20   30 |   10   0   30  10   20  10 |    5   0   20   10   0   5   0   5   0 |   1   0   0   5   0    5   0   1   0   0 |  *  *  *  * 384   *   *  *  * | 0  1  1  0
... oo.3oo. *b3ox.3xo. ...&#x  & ♦   5  10 |  10  20   30 |   10   0   30  10   20  10 |    5   0   20   10   0   0   5   5   0 |   0   1   0   0   5    5   0   0   1   0 |  *  *  *  *   * 384   *  *  * | 0  1  0  1
... oo. ... *b3ox.3xo.3oo.&#x  & ♦  10  10 |  30  30   30 |   20  10   30  30   10  20 |    5   5   10   20  10   0   0   5   5 |   0   0   1   0   0    5   5   0   0   1 |  *  *  *  *   *   * 384  *  * | 0  0  1  1
.o.3.o. ... *b3.x.3.o.3.o.       ♦   0  20 |   0   0   90 |    0   0    0   0   60  60 |    0   0    0    0   0  15   0  30  15 |   0   0   0   0   0    0   0   6   0   6 |  *  *  *  *   *   *   * 32  * | 0  0  2  0
... .o.3.o. *b3.x.3.o.3.o.       ♦   0  20 |   0   0   90 |    0   0    0   0   60  60 |    0   0    0    0   0   0  15  30  15 |   0   0   0   0   0    0   0   0   6   6 |  *  *  *  *   *   *   *  * 32 | 0  0  0  2
---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+-----------
o..3o..3o.. *b3o..3x..3o..     & ♦  60   0 | 480   0    0 |  960 160    0   0    0   0 |  960 240    0    0   0   0   0   0   0 | 192 192 192   0   0    0   0   0   0   0 | 12 32 32  0   0   0   0  0  0 | 2  *  *  *
ooo3ooo3ooo *b3oxo3xox ...&#xt   ♦  20  40 |  80 160  240 |  160   0  480  80  320  80 |  160   0  640  160   0  80  80  80   0 |  32  32   0 160 160  160   0  16  16   0 |  2  0  0 10  32  32   0  0  0 | * 12  *  *
oo.3oo. ... *b3ox.3xo.3oo.&#x  & ♦  15  20 |  60  60   90 |   60  20   90  60   60  60 |   30  15   60   60  20  15   0  30  15 |   6   0   6  15   0   30  15   6   0   6 |  0  1  0  0   6   0   6  1  0 | *  * 64  *
... oo.3oo. *b3ox.3xo.3oo.&#x  & ♦  15  20 |  60  60   90 |   60  20   90  60   60  60 |   30  15   60   60  20   0  15  30  15 |   0   6   6   0  15   30  15   0   6   6 |  0  0  1  0   0   6   6  0  1 | *  *  * 64
```

```ooxo3oxoo3xooo3ooox3ooxo3oxoo&#xt   → all heights = sqrt(2/7) = 0.534522
(bril || pseudo inv. scal || pseudo scal || inv. bril)

...
```

```oxo4ooq oox3oxo3xoo3ooo4ooo&#zx   → height = 0
(tegum sum of nit, squarat, and (q-square,tac)-dip)

o..4o.. o..3o..3o..3o..4o..     | 80   *  * ♦  12  12   0   0   0   0 |  12  12  12  12   48   0    0   0   0    0   0 |  4  12  12   48   4   48   48   0   0   0   0    0   0 |  4   4   48   48  16  48   0   0    0   0 |  3  16  48  16  0   0 0 |  3  16 0
.o.4.o. .o.3.o.3.o.3.o.4.o.     |  * 160  * ♦   0   6   2  12   4   0 |   0   0  12  12   12   6   24   4   2   24   0 |  0   0  24   24   6   24    8  12  16   2  12   48   0 |  0  12   48   16  12  16   8  24   32   0 |  1  24  32   8  2  16 0 |  2  16 1
..o4..o ..o3..o3..o3..o4..o     |  *   * 40 ♦   0   0   0   0  16   8 |   0   0   0   0    0   0    0   8  16   48  24 |  0   0  24    0   0    0    0   0   0   8  48   64  32 |  0  24   32    0   0   0   0  64   32  16 |  0  32  16   0  2  32 1 |  1  16 2
--------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+---------
... ... ... ... x.. ... ...     |  2   0  0 | 480   *   *   *   *   * |   2   2   0   0    4   0    0   0   0    0   0 |  1   4   0    4   0    8    8   0   0   0   0    0   0 |  2   0    8    8   4  16   0   0    0   0 |  1   4  16   8  0   0 0 |  2   8 0
oo.4oo. oo.3oo.3oo.3oo.4oo.&#x  |  1   1  0 |   * 960   *   *   *   * |   0   0   2   2    4   0    0   0   0    0   0 |  0   0   4    8   1    8    4   0   0   0   0    0   0 |  0   2   16    8   4   8   0   0    0   0 |  1   8  16   4  0   0 0 |  2   8 0
.x. ... ... ... ... ... ...     |  0   2  0 |   *   * 160   *   *   * |   0   0   6   0    0   0    0   2   0    0   0 |  0   0  12   12   0    0    0   0   0   1   0    0   0 |  0   6   24    8   0   0   0   0    0   0 |  1  12  16   0  0   0 0 |  2   8 0
... ... ... .x. ... ... ...     |  0   2  0 |   *   *   * 960   *   * |   0   0   0   1    0   1    4   0   0    2   0 |  0   0   2    0   1    4    0   4   4   0   2    8   0 |  0   2    8    0   4   4   4   8    8   0 |  0   8   8   4  1   8 0 |  1   8 1
.oo4.oo .oo3.oo3.oo3.oo4.oo&#x  |  0   1  1 |   *   *   *   * 640   * |   0   0   0   0    0   0    0   1   1    6   0 |  0   0   6    0   0    0    0   0   0   1   6   12   0 |  0   6   12    0   0   0   0  12    8   0 |  0  12   8   0  1   8 0 |  1   8 1
... ... ..x ... ... ... ...     |  0   0  2 |   *   *   *   *   * 160 |   0   0   0   0    0   0    0   0   2    0   6 |  0   0   0    0   0    0    0   0   0   1  12    0  12 |  0   6    0    0   0   0   0  24    0   8 |  0  12   0   0  0  16 1 |  0   8 2
--------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+---------
... ... ... o..3x.. ... ...     |  3   0  0 |   3   0   0   0   0   0 | 320   *   *   *    *   *    *   *   *    *   * |  1   2   0    0   0    4    0   0   0   0   0    0   0 |  2   0    4    0   4   8   0   0    0   0 |  0   4   8   8  0   0 0 |  1   8 0
... ... ... ... x..3o.. ...     |  3   0  0 |   3   0   0   0   0   0 |   * 320   *   *    *   *    *   *   *    *   * |  0   2   0    0   0    0    4   0   0   0   0    0   0 |  1   0    0    4   0   8   0   0    0   0 |  1   0   8   4  0   0 0 |  2   4 0
ox. ... ... ... ... ... ...&#x  |  1   2  0 |   0   2   1   0   0   0 |   *   * 960   *    *   *    *   *   *    *   * |  0   0   2    4   0    0    0   0   0   0   0    0   0 |  0   1    8    4   0   0   0   0    0   0 |  1   4   8   0  0   0 0 |  2   4 0
... ... ... ox. ... ... ...&#x  |  1   2  0 |   0   2   0   1   0   0 |   *   *   * 960    *   *    *   *   *    *   * |  0   0   2    0   1    4    0   0   0   0   0    0   0 |  0   2    8    0   4   4   0   0    0   0 |  0   8   8   4  0   0 0 |  1   8 0
... ... ... ... xo. ... ...&#x  |  2   1  0 |   1   2   0   0   0   0 |   *   *   *   * 1920   *    *   *   *    *   * |  0   0   0    2   0    2    2   0   0   0   0    0   0 |  0   0    4    4   1   4   0   0    0   0 |  1   2   8   2  0   0 0 |  2   4 0
... ... .o.3.x. ... ... ...     |  0   3  0 |   0   0   0   3   0   0 |   *   *   *   *    * 320    *   *   *    *   * |  0   0   0    0   1    0    0   4   0   0   2    0   0 |  0   2    0    0   4   0   4   8    0   0 |  0   8   0   4  0   8 0 |  0   8 1
... ... ... .x.3.o. ... ...     |  0   3  0 |   0   0   0   3   0   0 |   *   *   *   *    *   * 1280   *   *    *   * |  0   0   0    0   0    1    0   1   2   0   0    2   0 |  0   0    2    0   1   2   2   2    4   0 |  0   2   4   2  1   4 0 |  1   4 1
.xo ... ... ... ... ... ...&#x  |  0   2  1 |   0   0   1   0   2   0 |   *   *   *   *    *   *    * 320   *    *   * |  0   0   6    0   0    0    0   0   0   1   0    0   0 |  0   6   12    0   0   0   0   0    0   0 |  0  12   8   0  0   0 0 |  1   8 0
... ... .ox ... ... ... ...&#x  |  0   1  2 |   0   0   0   0   2   1 |   *   *   *   *    *   *    *   * 320    *   * |  0   0   0    0   0    0    0   0   0   1   6    0   0 |  0   6    0    0   0   0   0  12    0   0 |  0  12   0   0  0   8 0 |  0   8 1
... ... ... .xo ... ... ...&#x  |  0   2  1 |   0   0   0   1   2   0 |   *   *   *   *    *   *    *   *   * 1920   * |  0   0   1    0   0    0    0   0   0   0   1    4   0 |  0   1    4    0   0   0   0   4    4   0 |  0   4   4   0  1   4 0 |  1   4 1
... ... ..x3..o ... ... ...     |  0   0  3 |   0   0   0   0   0   3 |   *   *   *   *    *   *    *   *   *    * 320 |  0   0   0    0   0    0    0   0   0   0   2    0   4 |  0   1    0    0   0   0   0   8    0   4 |  0   4   0   0  0   8 1 |  0   4 2
--------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+---------
... ... o..3o..3x.. ... ...     ♦  4   0  0 |   6   0   0   0   0   0 |   4   0   0   0    0   0    0   0   0    0   0 | 80   *   *    *   *    *    *   *   *   *   *    *   * ♦  2   0    0    0   4   0   0   0    0   0 |  0   4   0   8  0   0 0 |  0   8 0
... ... ... o..3x..3o.. ...     ♦  6   0  0 |  12   0   0   0   0   0 |   4   4   0   0    0   0    0   0   0    0   0 |  * 160   *    *   *    *    *   *   *   *   *    *   * |  1   0    0    0   0   4   0   0    0   0 |  0   0   4   4  0   0 0 |  1   4 0
oxo ... ... oxo ... ... ...&#xt ♦  1   4  1 |   0   4   2   2   4   0 |   0   0   2   2    0   0    0   2   0    2   0 |  *   * 960    *   *    *    *   *   *   *   *    *   * |  0   1    4    0   0   0   0   0    0   0 |  0   4   4   0  0   0 0 |  1   4 0
ox. ... ... ... xo. ... ...&#x  ♦  2   2  0 |   1   4   1   0   0   0 |   0   0   2   0    2   0    0   0   0    0   0 |  *   *   * 1920   *    *    *   *   *   *   *    *   * |  0   0    2    2   0   0   0   0    0   0 |  1   1   4   0  0   0 0 |  2   2 0
... ... oo.3ox. ... ... ...&#x  ♦  1   3  0 |   0   3   0   3   0   0 |   0   0   0   3    0   1    0   0   0    0   0 |  *   *   *    * 320    *    *   *   *   *   *    *   * ♦  0   2    0    0   4   0   0   0    0   0 |  0   8   0   4  0   0 0 |  0   8 0
... ... ... ox.3xo. ... ...&#x  ♦  3   3  0 |   3   6   0   3   0   0 |   1   0   0   3    3   0    1   0   0    0   0 |  *   *   *    *   * 1280    *   *   *   *   *    *   * |  0   0    2    0   1   2   0   0    0   0 |  0   2   4   2  0   0 0 |  1   4 0
... ... ... ... xo.3oo. ...&#x  ♦  3   1  0 |   3   3   0   0   0   0 |   0   1   0   0    3   0    0   0   0    0   0 |  *   *   *    *   *    * 1280   *   *   *   *    *   * |  0   0    0    2   0   2   0   0    0   0 |  1   0   4   1  0   0 0 |  2   2 0
... ... .o.3.x.3.o. ... ...     ♦  0   6  0 |   0   0   0  12   0   0 |   0   0   0   0    0   4    4   0   0    0   0 |  *   *   *    *   *    *    * 320   *   *   *    *   * |  0   0    0    0   1   0   2   2    0   0 |  0   2   0   2  0   4 0 |  0   4 1
... ... ... .x.3.o.3.o. ...     ♦  0   4  0 |   0   0   0   6   0   0 |   0   0   0   0    0   0    4   0   0    0   0 |  *   *   *    *   *    *    *   * 640   *   *    *   * |  0   0    0    0   0   1   1   0    2   0 |  0   0   2   1  1   2 0 |  1   2 1
.xo ... .ox ... ... ... ...&#x  ♦  0   2  2 |   0   0   1   0   4   1 |   0   0   0   0    0   0    0   2   2    0   0 |  *   *   *    *   *    *    *   *   * 160   *    *   * ♦  0   6    0    0   0   0   0   0    0   0 |  0  12   0   0  0   0 0 |  0   8 0
... ... .ox3.xo ... ... ...&#x  ♦  0   3  3 |   0   0   0   3   6   3 |   0   0   0   0    0   1    0   0   3    3   1 |  *   *   *    *   *    *    *   *   *   * 640    *   * |  0   1    0    0   0   0   0   4    0   0 |  0   4   0   0  0   4 0 |  0   4 1
... ... ... .xo3.oo ... ...&#x  ♦  0   3  1 |   0   0   0   3   3   0 |   0   0   0   0    0   0    1   0   0    3   0 |  *   *   *    *   *    *    *   *   *   *   * 2560   * |  0   0    1    0   0   0   0   1    2   0 |  0   1   2   0  1   2 0 |  1   2 1
... ... ..x3..o3..o ... ...     ♦  0   0  4 |   0   0   0   0   0   6 |   0   0   0   0    0   0    0   0   0    0   4 |  *   *   *    *   *    *    *   *   *   *   *    * 320 |  0   0    0    0   0   0   0   2    0   2 |  0   1   0   0  0   4 1 |  0   2 2
--------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+---------
... ... o..3o..3x..3o.. ...     ♦ 10   0  0 |  30   0   0   0   0   0 |  20  10   0   0    0   0    0   0   0    0   0 |  5   5   0    0   0    0    0   0   0   0   0    0   0 | 32   *    *    *   *   *   *   *    *   * |  0   0   0   4  0   0 0 |  0   4 0
oxo ... oox3oxo ... ... ...&#xt ♦  1   6  3 |   0   6   3   6  12   3 |   0   0   3   6    0   2    0   6   6    6   1 |  0   0   3    0   2    0    0   0   0   3   2    0   0 |  * 320    *    *   *   *   *   *    *   * |  0   4   0   0  0   0 0 |  0   4 0
oxo ... ... oxo3xoo ... ...&#xt ♦  3   6  1 |   3  12   3   6   6   0 |   1   0   6   6    6   0    2   3   0    6   0 |  0   0   3    3   0    2    0   0   0   0   0    2   0 |  *   * 1280    *   *   *   *   *    *   * |  0   1   2   0  0   0 0 |  1   2 0
ox. ... ... ... xo.3oo. ...&#x  ♦  3   2  0 |   3   6   1   0   0   0 |   0   1   3   0    6   0    0   0   0    0   0 |  0   0   0    3   0    0    2   0   0   0   0    0   0 |  *   *    * 1280   *   *   *   *    *   * |  1   0   2   0  0   0 0 |  2   1 0
... ... oo.3ox.3xo. ... ...&#x  ♦  4   6  0 |   6  12   0  12   0   0 |   4   0   0  12    6   4    4   0   0    0   0 |  1   0   0    0   4    4    0   1   0   0   0    0   0 |  *   *    *    * 320   *   *   *    *   * |  0   2   0   2  0   0 0 |  0   4 0
... ... ... ox.3xo.3oo. ...&#x  ♦  6   4  0 |  12  12   0   6   0   0 |   4   4   0   6   12   0    4   0   0    0   0 |  0   1   0    0   0    4    4   0   1   0   0    0   0 |  *   *    *    *   * 640   *   *    *   * |  0   0   2   1  0   0 0 |  1   2 0
... ... .o.3.x.3.o.3.o. ...     ♦  0  10  0 |   0   0   0  30   0   0 |   0   0   0   0    0  10   20   0   0    0   0 |  0   0   0    0   0    0    0   5   5   0   0    0   0 |  *   *    *    *   *   * 128   *    *   * |  0   0   0   1  0   2 0 |  0   2 1
... ... .ox3.xo3.oo ... ...&#x  ♦  0   6  4 |   0   0   0  12  12   6 |   0   0   0   0    0   4    4   0   6   12   4 |  0   0   0    0   0    0    0   1   0   0   4    4   1 |  *   *    *    *   *   *   * 640    *   * |  0   1   0   0  0   2 0 |  0   2 1
... ... ... .xo3.oo3.oo ...&#x  ♦  0   4  1 |   0   0   0   6   4   0 |   0   0   0   0    0   0    4   0   0    6   0 |  0   0   0    0   0    0    0   0   1   0   0    4   0 |  *   *    *    *   *   *   *   * 1280   * |  0   0   1   0  1   1 0 |  1   1 1
... ... ..x3..o3..o3..o ...     ♦  0   0  5 |   0   0   0   0   0  10 |   0   0   0   0    0   0    0   0   0    0  10 |  0   0   0    0   0    0    0   0   0   0   0    0   5 |  *   *    *    *   *   *   *   *    * 128 |  0   0   0   0  0   2 1 |  0   1 2
--------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+---------
ox.4oo. ... ... xo.3oo.4oo.&#zx ♦  6   4  0 |  12  24   4   0   0   0 |   0   8  24   0   48   0    0   0   0    0   0 |  0   0   0   48   0    0   32   0   0   0   0    0   0 |  0   0    0   32   0   0   0   0    0   0 | 40   *   *   *  *   * * |  2   0 0
oxo ... oox3oxo3xoo ... ...&#xt ♦  4  12  4 |   6  24   6  24  24   6 |   4   0  12  24   12   8    8  12  12   24   4 |  1   0  12    6   8    8    0   2   0   6   8    8   1 |  0   4    4    0   2   0   0   2    0   0 |  * 320   *   *  *   * * |  0   2 0
oxo ... ... oxo3xoo3ooo ...&#xt ♦  6   8  1 |  12  24   4  12   8   0 |   4   4  12  12   24   0    8   4   0   12   0 |  0   1   6   12   0    8    8   0   2   0   0    8   0 |  0   0    4    4   0   2   0   0    2   0 |  *   * 640   *  *   * * |  1   1 0
... ... oo.3ox.3xo.3oo. ...&#x  ♦ 10  10  0 |  30  30   0  30   0   0 |  20  10   0  30   30  10   20   0   0    0   0 |  5   5   0    0  10   20   10   5   5   0   0    0   0 |  1   0    0    0   5   5   1   0    0   0 |  *   *   * 128  *   * * |  0   2 0
... .oq ... .xo3.oo3.oo4.oo&#x  ♦  0   8  2 |   0   0   0  24  16   0 |   0   0   0   0    0   0   32   0   0   48   0 |  0   0   0    0   0    0    0   0  16   0   0   64   0 |  0   0    0    0   0   0   0   0   32   0 |  *   *   *   * 40   * * |  1   0 1
... ... .ox3.xo3.oo3.oo ...&#x  ♦  0  10  5 |   0   0   0  30  20  10 |   0   0   0   0    0  10   20   0  10   30  10 |  0   0   0    0   0    0    0   5   5   0  10   20   5 |  0   0    0    0   0   0   1   5    5   1 |  *   *   *   *  * 256 * |  0   1 1
... ... ..x3..o3..o3..o4..o     ♦  0   0 10 |   0   0   0   0   0  40 |   0   0   0   0    0   0    0   0   0    0  80 |  0   0   0    0   0    0    0   0   0   0   0    0  80 |  0   0    0    0   0   0   0   0    0  32 |  *   *   *   *  *   * 4 |  0   0 2
--------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+---------
oxo4ooq ... oxo3xoo3ooo4ooo&#zx ♦ 24  32  4 |  96 192  32  96  64   0 |  32  64 192  96  384   0  128  32   0  192   0 |  0  16  96  384   0  128  256   0  64   0   0  256   0 |  0   0  128  256   0  64   0   0  128   0 |  8   0  64   0  4   0 0 | 10   * *
oxo ... oox3oxo3xoo3ooo ...&#xt ♦ 10  20  5 |  30  60  10  60  40  10 |  20  10  30  60   60  20   40  20  20   60  10 |  5   5  30   30  20   40   20  10  10  10  20   40   5 |  1  10   20   10  10  10   2  10   10   1 |  0   5   5   2  0   2 0 |  * 128 *
... .oq .ox3.xo3.oo3.oo4.oo&#zx ♦  0  40 20 |   0   0   0 240 160  80 |   0   0   0   0    0  80  320   0  80  480 160 |  0   0   0    0   0    0    0  80 160   0 160  640 160 |  0   0    0    0   0   0  32 160  320  64 |  0   0   0   0 10  64 2 |  *   * 4
```

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