Acronym ril (old: riss)
Name rectified heptapeton,
vertex figure of hesa,
Gosset polytope 04,1
wrt. rix
1/sqrt(21) = 0.218218
wrt. hix
5/sqrt(84) = 0.545545
Lace city
in approx. ASCII-art
```            _+------------------  o o3o3o3o (pt)
_/        _+----------  x x3o3o3o (penp)
_/        _/        _+--  o o3x3o3o (rap)
/         /         /

o3o3o3o    x3o3o3o  		--  x3o3o3o3o (hix)

x3o3o3o    o3x3o3o		--  o3x3o3o3o (rix)
```
```                  _+--------------------  x3o o3o3o ({3})
_/         _+-----------  o3x x3o3o ({3}-dual tratet)
_/         _/         _+--  o3o o3x3o (perp oct)
/          /          /

x o3o3o    o x3o3o    		--  x3o3o3o3o (hix)

o o3o3o    x x3o3o    o o3x3o		--  o3x3o3o3o (rix)

\          \          \
\          \          +--  o o3x3o3o (rap)
\          +------------  x x3o3o3o (penp)
+----------------------  o o3o3o3o (pt)
```
```     (A,0)     (0,V)     		--  x3o3o3o3o (hix)

(V,0)     (A,V)     (0,A)		--  o3x3o3o3o (rix)

\         \         \
\         \         +-- o3o o3x3o (oct)
\         +----------- x3o o3o3x (tratet)
+-------------------- o3x o3o3o (perp-dual {3})

where:
A = x3o
V = o3x
0 = o3o
```
Lace hyper city
in approx. ASCII-art
``` ©
```
 ``` o3x3o ``` oct ``` x3o3o x3o3o x3o3o ``` tratet ``` o3o3o o3o3o ril o3o3o ``` perp-dual {3}
or
 ``` ``` ``` x3o ``` x3o o3o layer of hix ``` o3o o3o o3o ``` o3o o3x layer of hix ``` ``` ``` o3x ``` o3x o3o layer of rix ``` x3o x3o x3o ``` x3o o3x layer of rix ``` o3o o3o o3o ``` o3o x3o layer of rix
Volume 19 sqrt(7)/1920 = 0.026182
Surface 63 sqrt(3)/160 = 0.681995
Dihedral angles
(at margins)
• at pen between hix and rix:   arccos(-1/6) = 99.594068°
• at rap between rix and rix:   arccos(1/6) = 80.405932°
Confer
related segmentopeta:
penppy   rapa penp   trial tratet   octa tratet
general polytopal classes:
segmentopeta   fundamental lace prisms   Coxeter-Elte-Gosset polytopes
analogs:
rectified simplex rSn  #
External

Incidence matrix according to Dynkin symbol

```o3x3o3o3o3o

. . . . . . | 21 ♦  10 |  5  20 | 10  20 | 10 10 | 5 2
------------+----+-----+--------+--------+-------+----
. x . . . . |  2 | 105 |  1   4 |  4   6 |  6  4 | 4 1
------------+----+-----+--------+--------+-------+----
o3x . . . . |  3 |   3 | 35   * ♦  4   0 |  6  0 | 4 0
. x3o . . . |  3 |   3 |  * 140 |  1   3 |  3  3 | 3 1
------------+----+-----+--------+--------+-------+----
o3x3o . . . ♦  6 |  12 |  4   4 | 35   * |  3  0 | 3 0
. x3o3o . . ♦  4 |   6 |  0   4 |  * 105 |  1  2 | 2 1
------------+----+-----+--------+--------+-------+----
o3x3o3o . . ♦ 10 |  30 | 10  20 |  5   5 | 21  * | 2 0
. x3o3o3o . ♦  5 |  10 |  0  10 |  0   5 |  * 42 | 1 1
------------+----+-----+--------+--------+-------+----
o3x3o3o3o . ♦ 15 |  60 | 20  60 | 15  30 |  6  6 | 7 *
. x3o3o3o3o ♦  6 |  15 |  0  20 |  0  15 |  0  6 | * 7
```

```xo3ox3oo3oo3oo&#x   → height = sqrt(7/12) = 0.763763
(hix || rix)

o.3o.3o.3o.3o.    | 6  * ♦  5  5  0 | 10  5 10  0  0 | 10 10 10  0  0 | 5 10  5 0 0 | 1 5 1 0
.o3.o3.o3.o3.o    | * 15 ♦  0  2  8 |  0  1  8  4 12 |  0  4 12  6  8 | 0  6  8 4 2 | 0 4 2 1
------------------+------+----------+----------------+----------------+-------------+--------
x. .. .. .. ..    | 2  0 | 15  *  * |  4  1  0  0  0 |  6  4  0  0  0 | 4  6  0 0 0 | 1 4 0 0
oo3oo3oo3oo3oo&#x | 1  1 |  * 30  * |  0  1  4  0  0 |  0  4  6  0  0 | 0  6  4 0 0 | 0 4 1 0
.. .x .. .. ..    | 0  2 |  *  * 60 |  0  0  1  1  3 |  0  1  3  3  3 | 0  3  3 3 1 | 0 3 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o. .. .. ..    | 3  0 |  3  0  0 | 20  *  *  *  * |  3  1  0  0  0 | 3  3  0 0 0 | 1 3 0 0
xo .. .. .. ..&#x | 2  1 |  1  2  0 |  * 15  *  *  * ♦  0  4  0  0  0 | 0  6  0 0 0 | 0 4 0 0
.. ox .. .. ..&#x | 1  2 |  0  2  1 |  *  * 60  *  * |  0  1  3  0  0 | 0  3  3 0 0 | 0 3 1 0
.o3.x .. .. ..    | 0  3 |  0  0  3 |  *  *  * 20  * ♦  0  1  0  3  0 | 0  3  0 3 0 | 0 3 0 1
.. .x3.o .. ..    | 0  3 |  0  0  3 |  *  *  *  * 60 |  0  0  1  1  2 | 0  1  2 2 1 | 0 2 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o. .. ..    ♦ 4  0 |  6  0  0 |  4  0  0  0  0 | 15  *  *  *  * | 2  1  0 0 0 | 1 2 0 0
xo3ox .. .. ..&#x ♦ 3  3 |  3  6  3 |  1  3  3  1  0 |  * 20  *  *  * | 0  3  0 0 0 | 0 3 0 0
.. ox3oo .. ..&#x ♦ 1  3 |  0  3  3 |  0  0  3  0  1 |  *  * 60  *  * | 0  1  2 0 0 | 0 2 1 0
.o3.x3.o .. ..    ♦ 0  6 |  0  0 12 |  0  0  0  4  4 |  *  *  * 15  * | 0  1  0 2 0 | 0 2 0 1
.. .x3.o3.o ..    ♦ 0  4 |  0  0  6 |  0  0  0  0  4 |  *  *  *  * 30 | 0  0  1 1 1 | 0 1 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o.3o. ..    ♦ 5  0 | 10  0  0 | 10  0  0  0  0 |  5  0  0  0  0 | 6  *  * * * | 1 1 0 0
xo3ox3oo .. ..&#x ♦ 4  6 |  6 12 12 |  4  6 12  4  4 |  1  4  4  1  0 | * 15  * * * | 0 2 0 0
.. ox3oo3oo ..&#x ♦ 1  4 |  0  4  6 |  0  0  6  0  4 |  0  0  4  0  1 | *  * 30 * * | 0 1 1 0
.o3.x3.o3.o ..    ♦ 0 10 |  0  0 30 |  0  0  0 10 20 |  0  0  0  5  5 | *  *  * 6 * | 0 1 0 1
.. .x3.o3.o3.o    ♦ 0  5 |  0  0 10 |  0  0  0  0 10 |  0  0  0  0  5 | *  *  * * 6 | 0 0 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o.3o.3o.    ♦ 6  0 | 15  0  0 | 20  0  0  0  0 | 15  0  0  0  0 | 6  0  0 0 0 | 1 * * *
xo3ox3oo3oo ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 |  5 10 20  5  5 | 1  5  5 1 0 | * 6 * *
.. ox3oo3oo3oo&#x ♦ 1  5 |  0  5 10 |  0  0 10  0 10 |  0  0 10  0  5 | 0  0  5 0 1 | * * 6 *
.o3.x3.o3.o3.o    ♦ 0 15 |  0  0 60 |  0  0  0 20 60 |  0  0  0 15 30 | 0  0  0 6 6 | * * * 1
```

```oxo3oox3ooo3ooo oxo&#xt   → both heights = sqrt(7/20) = 0.591608
(pt || pseudo penp || rap)

o..3o..3o..3o.. o..     | 1  *  * ♦ 10  0 0  0  0 | 20 5  0  0  0  0  0  0 | 20 10  0  0  0  0 0 0 | 10 10 0  0  0  0 0 | 2 5 0 0
.o.3.o.3.o.3.o. .o.     | * 10  * ♦  1  4 1  4  0 |  4 1  6  4  6  4  0  0 |  6  4  4  6  4  6 0 0 |  4  6 1  4  1  4 0 | 1 4 1 1
..o3..o3..o3..o ..o     | *  * 10 ♦  0  0 0  4  6 |  0 0  0  2 12  2  3  6 |  0  1  0  6 12  6 3 2 |  0  3 0  6  4  6 1 | 0 3 2 2
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
oo.3oo.3oo.3oo. oo.&#x  | 1  1  0 | 10  * *  *  * |  4 1  0  0  0  0  0  0 |  6  4  0  0  0  0 0 0 |  4  6 0  0  0  0 0 | 1 4 0 0
.x. ... ... ... ...     | 0  2  0 |  * 20 *  *  * |  1 0  3  1  0  0  0  0 |  3  1  3  3  0  0 0 0 |  3  3 1  3  0  0 0 | 1 3 1 0
... ... ... ... .x.     | 0  2  0 |  *  * 5  *  * |  0 1  0  0  0  4  0  0 |  0  4  0  0  0  6 0 0 |  0  6 0  0  0  4 0 | 0 4 0 1
.oo3.oo3.oo3.oo .oo&#x  | 0  1  1 |  *  * * 40  * |  0 0  0  1  3  1  0  0 |  0  1  0  3  3  3 0 0 |  0  3 0  3  1  3 0 | 0 3 1 1
... ..x ... ... ...     | 0  0  2 |  *  * *  * 30 |  0 0  0  0  2  0  1  2 |  0  0  0  2  4  1 2 1 |  0  1 0  4  2  2 1 | 0 2 2 1
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox. ... ... ... ...&#x  | 1  2  0 |  2  1 0  0  0 | 20 *  *  *  *  *  *  * |  3  1  0  0  0  0 0 0 |  3  3 0  0  0  0 0 | 1 3 0 0
... ... ... ... ox.&#x  | 1  2  0 |  2  0 1  0  0 |  * 5  *  *  *  *  *  * ♦  0  4  0  0  0  0 0 0 |  0  6 0  0  0  0 0 | 0 4 0 0
.x.3.o. ... ... ...     | 0  3  0 |  0  3 0  0  0 |  * * 20  *  *  *  *  * |  1  0  2  1  0  0 0 0 |  2  1 1  2  0  0 0 | 1 2 1 0
.xo ... ... ... ...&#x  | 0  2  1 |  0  1 0  2  0 |  * *  * 20  *  *  *  * ♦  0  1  0  3  0  0 0 0 |  0  3 0  3  0  0 0 | 0 3 1 0
... .ox ... ... ...&#x  | 0  1  2 |  0  0 0  2  1 |  * *  *  * 60  *  *  * |  0  0  0  1  2  1 0 0 |  0  1 0  2  1  2 0 | 0 2 1 1
... ... ... ... .xo&#x  | 0  2  1 |  0  0 1  2  0 |  * *  *  *  * 20  *  * |  0  1  0  0  0  3 0 0 |  0  3 0  0  0  3 0 | 0 3 0 1
..o3..x ... ... ...     | 0  0  3 |  0  0 0  0  3 |  * *  *  *  *  * 10  * ♦  0  0  0  2  0  0 2 0 |  0  1 0  4  0  0 1 | 0 2 2 0
... ..x3..o ... ...     | 0  0  3 |  0  0 0  0  3 |  * *  *  *  *  *  * 20 |  0  0  0  0  2  0 1 1 |  0  0 0  2  2  1 1 | 0 1 2 1
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox.3oo. ... ... ...&#x  ♦ 1  3  0 |  3  3 0  0  0 |  3 0  1  0  0  0  0  0 | 20  *  *  *  *  * * * |  2  1 0  0  0  0 0 | 1 2 0 0
oxo ... ... ... oxo&#x  ♦ 1  4  1 |  4  2 2  4  0 |  2 2  0  2  0  2  0  0 |  * 10  *  *  *  * * * |  0  3 0  0  0  0 0 | 0 3 0 0
.x.3.o.3.o. ... ...     ♦ 0  4  0 |  0  6 0  0  0 |  0 0  4  0  0  0  0  0 |  *  * 10  *  *  * * * |  1  0 1  1  0  0 0 | 1 1 1 0
.xo3.ox ... ... ...&#x  ♦ 0  3  3 |  0  3 0  6  3 |  0 0  1  3  3  0  1  0 |  *  *  * 20  *  * * * |  0  1 0  2  0  0 0 | 0 2 1 0
... .ox3.oo ... ...&#x  ♦ 0  1  3 |  0  0 0  3  3 |  0 0  0  0  3  0  0  1 |  *  *  *  * 40  * * * |  0  0 0  1  1  1 0 | 0 1 1 1
... .ox ... ... .xo&#x  ♦ 0  2  2 |  0  0 1  4  1 |  0 0  0  0  2  2  0  0 |  *  *  *  *  * 30 * * |  0  1 0  0  0  2 0 | 0 2 0 1
..o3..x3..o ... ...     ♦ 0  0  6 |  0  0 0  0 12 |  0 0  0  0  0  0  4  4 |  *  *  *  *  *  * 5 * |  0  0 0  2  0  0 1 | 0 1 2 0
... ..x3..o3..o ...     ♦ 0  0  4 |  0  0 0  0  6 |  0 0  0  0  0  0  0  4 |  *  *  *  *  *  * * 5 |  0  0 0  0  2  0 1 | 0 0 2 1
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox.3oo.3oo. ... ...&#x  ♦ 1  4  0 |  4  6 0  0  0 |  6 0  4  0  0  0  0  0 |  4  0  1  0  0  0 0 0 | 10  * *  *  *  * * | 1 1 0 0
oxo3oox ... ... oxo&#x  ♦ 1  6  3 |  6  6 3 12  3 |  6 3  2  6  6  6  1  0 |  2  3  0  2  0  3 0 0 |  * 10 *  *  *  * * | 0 2 0 0
.x.3.o.3.o.3.o. ...     ♦ 0  5  0 |  0 10 0  0  0 |  0 0 10  0  0  0  0  0 |  0  0  5  0  0  0 0 0 |  *  * 2  *  *  * * | 1 0 1 0
.xo3.ox3.oo ... ...&#x  ♦ 0  4  6 |  0  6 0 12 12 |  0 0  4  6 12  0  4  4 |  0  0  1  4  4  0 1 0 |  *  * * 10  *  * * | 0 1 1 0
... .ox3.oo3.oo ...&#x  ♦ 0  1  4 |  0  0 0  4  6 |  0 0  0  0  6  0  0  4 |  0  0  0  0  4  0 0 1 |  *  * *  * 10  * * | 0 0 1 1
... .ox3.oo ... .xo&#x  ♦ 0  2  3 |  0  0 1  6  3 |  0 0  0  0  6  3  0  1 |  0  0  0  0  2  3 0 0 |  *  * *  *  * 20 * | 0 1 0 1
..o3..x3..o3..o ...     ♦ 0  0 10 |  0  0 0  0 30 |  0 0  0  0  0  0 10 20 |  0  0  0  0  0  0 5 5 |  *  * *  *  *  * 1 | 0 0 2 0
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox.3oo.3oo.3oo. ...&#x  ♦ 1  5  0 |  5 10 0  0  0 | 10 0 10  0  0  0  0  0 | 10  0  5  0  0  0 0 0 |  5  0 1  0  0  0 0 | 2 * * *
oxo3oox3ooo ... oxo&#x  ♦ 1  8  6 |  8 12 4 24 12 | 12 4  8 12 24 12  4  4 |  8  6  2  8  8 12 1 0 |  2  4 0  2  0  4 0 | * 5 * *
.xo3.ox3.oo3.oo ...&#x  ♦ 0  5 10 |  0 10 0 20 30 |  0 0 10 10 30  0 10 20 |  0  0  5 10 20  0 5 5 |  0  0 1  5  5  0 1 | * * 2 *
... .ox3.oo3.oo .xo&#x  ♦ 0  2  4 |  0  0 1  8  6 |  0 0  0  0 12  4  0  4 |  0  0  0  0  8  6 0 1 |  0  0 0  0  2  4 0 | * * * 5
```

```oxo3oox3ooo oxo3xoo&#xt   → both heights = sqrt(7/24) = 0.540062
({3} || pseudo dual tratet || perp oct)

o..3o..3o.. o..3o..     | 3  * * ♦ 2  8  0  0  0  0 | 1 12  4  8  0 0  0  0  0 0 0 |  8  6 12 4 0  0  0  0  0 0 | 2  4  8 6 0  0  0 | 1 2 4 0
.o.3.o.3.o. .o.3.o.     | * 12 * ♦ 0  2  3  2  3  0 | 0  6  2  1  3 1  3  3  6 0 0 |  6  6  3 1 1  3  1  6  3 0 | 2  6  3 3 1  2  3 | 2 1 3 1
..o3..o3..o ..o3..o     | *  * 6 ♦ 0  0  0  0  6  4 | 0  0  0  0  0 0  3 12  6 2 2 |  0  3  0 0 0  6  6 12  2 1 | 0  6  0 1 3  6  4 | 3 0 2 2
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
... ... ... ... x..     | 2  0 0 | 3  *  *  *  *  * | 1  0  0  4  0 0  0  0  0 0 0 |  0  0  6 4 0  0  0  0  0 0 | 0  0  4 6 0  0  0 | 0 1 4 0
oo.3oo.3oo. oo.3oo.&#x  | 1  1 0 | * 24  *  *  *  * | 0  3  1  1  0 0  0  0  0 0 0 |  3  3  3 1 0  0  0  0  0 0 | 1  3  3 3 0  0  0 | 1 1 3 0
.x. ... ... ... ...     | 0  2 0 | *  * 18  *  *  * | 0  2  0  0  2 0  1  0  0 0 0 |  4  2  1 0 1  2  0  0  0 0 | 2  4  2 1 1  0  0 | 2 1 2 0
... ... ... .x. ...     | 0  2 0 | *  *  * 12  *  * | 0  0  1  0  0 1  0  0  3 0 0 |  0  3  0 1 0  0  0  3  3 0 | 0  3  0 3 0  1  3 | 1 0 3 1
.oo3.oo3.oo .oo3.oo&#x  | 0  1 1 | *  *  *  * 36  * | 0  0  0  0  0 0  1  2  2 0 0 |  0  2  0 0 0  2  1  4  1 0 | 0  4  0 1 1  2  2 | 2 0 2 1
... ..x ... ... ...     | 0  0 2 | *  *  *  *  * 12 | 0  0  0  0  0 0  0  3  0 1 1 |  0  0  0 0 0  3  3  3  0 1 | 0  3  0 0 3  3  1 | 3 0 1 1
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
... ... ... o..3x..     | 3  0 0 | 3  0  0  0  0  0 | 1  *  *  *  * *  *  *  * * * ♦  0  0  0 4 0  0  0  0  0 0 | 0  0  0 6 0  0  0 | 0 0 4 0
ox. ... ... ... ...&#x  | 1  2 0 | 0  2  1  0  0  0 | * 36  *  *  * *  *  *  * * * |  2  1  1 0 0  0  0  0  0 0 | 1  2  2 1 0  0  0 | 1 1 2 0
... ... ... ox. ...&#x  | 1  2 0 | 0  2  0  1  0  0 | *  * 12  *  * *  *  *  * * * ♦  0  3  0 1 0  0  0  0  0 0 | 0  3  0 3 0  0  0 | 1 0 3 0
... ... ... ... xo.&#x  | 2  1 0 | 1  2  0  0  0  0 | *  *  * 12  * *  *  *  * * * |  0  0  3 1 0  0  0  0  0 0 | 0  0  3 3 0  0  0 | 0 1 3 0
.x.3.o. ... ... ...     | 0  3 0 | 0  0  3  0  0  0 | *  *  *  * 12 *  *  *  * * * |  2  0  0 0 1  1  0  0  0 0 | 2  2  1 0 1  0  0 | 2 1 1 0
... ... ... .x.3.o.     | 0  3 0 | 0  0  0  3  0  0 | *  *  *  *  * 4  *  *  * * * |  0  0  0 1 0  0  0  0  3 0 | 0  0  0 3 0  0  3 | 0 0 3 1
.xo ... ... ... ...&#x  | 0  2 1 | 0  0  1  0  2  0 | *  *  *  *  * * 18  *  * * * ♦  0  2  0 0 0  2  0  0  0 0 | 0  4  0 1 1  0  0 | 2 0 2 0
... .ox ... ... ...&#x  | 0  1 2 | 0  0  0  0  2  1 | *  *  *  *  * *  * 36  * * * |  0  0  0 0 0  1  1  2  0 0 | 0  2  0 0 1  2  1 | 2 0 1 1
... ... ... .xo ...&#x  | 0  2 1 | 0  0  0  1  2  0 | *  *  *  *  * *  *  * 36 * * |  0  1  0 0 0  0  0  2  1 0 | 0  2  0 1 0  1  2 | 1 0 2 1
..o3..x ... ... ...     | 0  0 3 | 0  0  0  0  0  3 | *  *  *  *  * *  *  *  * 4 * ♦  0  0  0 0 0  3  0  0  0 1 | 0  3  0 0 3  0  0 | 3 0 1 0
... ..x3..o ... ...     | 0  0 3 | 0  0  0  0  0  3 | *  *  *  *  * *  *  *  * * 4 |  0  0  0 0 0  0  3  0  0 1 | 0  0  0 0 3  3  0 | 3 0 0 1
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
ox.3oo. ... ... ...&#x  ♦ 1  3 0 | 0  3  3  0  0  0 | 0  3  0  0  1 0  0  0  0 0 0 | 24  *  * * *  *  *  *  * * | 1  1  1 0 0  0  0 | 1 1 1 0
oxo ... ... oxo ...&#xt ♦ 1  4 1 | 0  4  2  2  4  0 | 0  2  2  0  0 0  2  0  2 0 0 |  * 18  * * *  *  *  *  * * | 0  2  0 1 0  0  0 | 1 0 2 0
ox. ... ... ... xo.&#x  ♦ 2  2 0 | 1  4  1  0  0  0 | 0  2  0  2  0 0  0  0  0 0 0 |  *  * 18 * *  *  *  *  * * | 0  0  2 1 0  0  0 | 0 1 2 0
... ... ... ox.3xo.&#x  ♦ 3  3 0 | 3  6  0  3  0  0 | 1  0  3  3  0 1  0  0  0 0 0 |  *  *  * 4 *  *  *  *  * * | 0  0  0 3 0  0  0 | 0 0 3 0
.x.3.o.3.o. ... ...     ♦ 0  4 0 | 0  0  6  0  0  0 | 0  0  0  0  4 0  0  0  0 0 0 |  *  *  * * 3  *  *  *  * * | 2  0  0 0 1  0  0 | 2 1 0 0
.xo3.ox ... ... ...&#x  ♦ 0  3 3 | 0  0  3  0  6  3 | 0  0  0  0  1 0  3  3  0 1 0 |  *  *  * * * 12  *  *  * * | 0  2  0 0 1  0  0 | 2 0 1 0
... .ox3.oo ... ...&#x  ♦ 0  1 3 | 0  0  0  0  3  3 | 0  0  0  0  0 0  0  3  0 0 1 |  *  *  * * *  * 12  *  * * | 0  0  0 0 1  2  0 | 2 0 0 1
... .ox ... .xo ...&#x  ♦ 0  2 2 | 0  0  0  1  4  1 | 0  0  0  0  0 0  0  2  2 0 0 |  *  *  * * *  *  * 36  * * | 0  1  0 0 0  1  1 | 1 0 1 1
... ... ... .xo3.oo&#x  ♦ 0  3 1 | 0  0  0  3  3  0 | 0  0  0  0  0 1  0  0  3 0 0 |  *  *  * * *  *  *  * 12 * | 0  0  0 1 0  0  2 | 0 0 2 1
..o3..x3..o ... ...     ♦ 0  0 6 | 0  0  0  0  0 12 | 0  0  0  0  0 0  0  0  0 4 4 |  *  *  * * *  *  *  *  * 1 | 0  0  0 0 3  0  0 | 3 0 0 0
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
ox.3oo.3oo. ... ...&#x  ♦ 1  4 0 | 0  4  6  0  0  0 | 0  6  0  0  4 0  0  0  0 0 0 |  4  0  0 0 1  0  0  0  0 0 | 6  *  * * *  *  * | 1 1 0 0
oxo3oox ... oxo ...&#xt ♦ 1  6 3 | 0  6  6  3 12  3 | 0  6  3  0  2 0  6  6  6 1 0 |  2  3  0 0 0  2  0  3  0 0 | * 12  * * *  *  * | 1 0 1 0
ox.3oo. ... ... xo.&#x  ♦ 2  3 0 | 1  6  3  0  0  0 | 0  6  0  3  1 0  0  0  0 0 0 |  2  0  3 0 0  0  0  0  0 0 | *  * 12 * *  *  * | 0 1 1 0
oxo ... ... oxo3xoo&#x  ♦ 3  6 1 | 3 12  3  6  6  0 | 1  6  6  6  0 2  3  0  6 0 0 |  0  3  3 2 0  0  0  0  2 0 | *  *  * 6 *  *  * | 0 0 2 0
.xo3.ox3.oo ... ...&#x  ♦ 0  4 6 | 0  0  6  0 12 12 | 0  0  0  0  4 0  6 12  0 4 4 |  0  0  0 0 1  4  4  0  0 1 | *  *  * * 3  *  * | 2 0 0 0
... .ox3.oo .xo ...&#x  ♦ 0  2 3 | 0  0  0  1  6  3 | 0  0  0  0  0 0  0  6  3 0 1 |  0  0  0 0 0  0  2  3  0 0 | *  *  * * * 12  * | 1 0 0 1
... .ox ... .xo3.oo&#x  ♦ 0  3 2 | 0  0  0  3  6  1 | 0  0  0  0  0 1  0  3  6 0 0 |  0  0  0 0 0  0  0  3  2 0 | *  *  * * *  * 12 | 0 0 1 1
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
oxo3oox3ooo oxo ...&#xt ♦ 1  8 6 | 0  8 12  4 24 12 | 0 12  4  0  8 0 12 24 12 4 4 |  8  6  0 0 2  8  8 12  0 1 | 2  4  0 0 2  4  0 | 3 * * *
ox.3oo.3oo. ... xo.&#x  ♦ 2  4 0 | 1  8  6  0  0  0 | 0 12  0  4  4 0  0  0  0 0 0 |  8  0  6 0 1  0  0  0  0 0 | 2  0  4 0 0  0  0 | * 3 * *
oxo3oox ... oxo3xoo&#xt ♦ 3  9 3 | 3 18  9  9 18  3 | 1 18  9  9  3 3  9  9 18 1 0 |  6  9  9 3 0  3  0  9  6 0 | 0  3  3 3 0  0  3 | * * 4 *
... .ox3.oo .xo3.oo&#x  ♦ 0  3 3 | 0  0  0  3  9  3 | 0  0  0  0  0 1  0  9  9 0 1 |  0  0  0 0 0  0  3  9  3 0 | 0  0  0 0 0  3  3 | * * * 4
```

```xoxo3oxoo3oooo3oooo&#xr   → all cyclic heights = sqrt(3/5) = 0.774597
height(1,3) = 1
height(2,4) = sqrt(61)/5 = 1.562050

o...3o...3o...3o...     & | 10  * * ♦  4  4 1  1  0 |  6  4  6  4  4 1  0  0 |  4  6  4  6  4  6 0 0 | 1  4  1  4  6  4 0 | 1 1 4 1
.o..3.o..3.o..3.o..       |  * 10 * ♦  0  4 0  0  6 |  0  2 12  2  0 0  3  6 |  0  6 12  0  1  6 3 2 | 0  6  4  0  3  6 1 | 2 0 3 2
...o3...o3...o3...o       |  *  * 1 ♦  0  0 0 10  0 |  0  0  0  0 20 5  0  0 |  0  0  0 20 10  0 0 0 | 0  0  0 10 10  0 0 | 0 2 5 0
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x... .... .... ....     & |  2  0 0 | 20  * *  *  * |  3  1  0  0  1 0  0  0 |  3  3  0  3  1  0 0 0 | 1  3  0  3  3  0 0 | 1 1 3 0
oo..3oo..3oo..3oo..&#x  & |  1  1 0 |  * 40 *  *  * |  0  1  3  1  0 0  0  0 |  0  3  3  0  1  3 0 0 | 0  3  1  0  3  3 0 | 1 0 3 1
o.o.3o.o.3o.o.3o.o.&#x  & |  2  0 0 |  *  * 5  *  * |  0  0  0  4  0 1  0  0 |  0  0  0  0  4  6 0 0 | 0  0  0  0  6  4 0 | 0 0 4 1
o..o3o..o3o..o3o..o&#x  & |  1  0 1 |  *  * * 10  * |  0  0  0  0  4 1  0  0 |  0  0  0  6  4  0 0 0 | 0  0  0  4  6  0 0 | 0 1 4 0
.... .x.. .... ....       |  0  2 0 |  *  * *  * 30 |  0  0  2  0  0 0  1  2 |  0  2  4  0  0  1 2 1 | 0  4  2  0  1  2 1 | 2 0 2 1
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x...3o... .... ....     & |  3  0 0 |  3  0 0  0  0 | 20  *  *  *  * *  *  * |  2  2  0  0  0  0 0 0 | 1  2  0  2  1  0 0 | 1 1 2 0
xo.. .... .... ....&#x  & |  2  1 0 |  1  2 0  0  0 |  * 20  *  *  * *  *  * ♦  0  3  0  0  1  0 0 0 | 0  3  0  0  3  0 0 | 1 0 3 0
.... ox.. .... ....&#x  & |  1  2 0 |  0  2 0  0  1 |  *  * 60  *  * *  *  * |  0  1  2  0  0  1 0 0 | 0  2  1  0  1  2 0 | 1 0 2 1
ooo.3ooo.3ooo.3ooo.&#x    |  2  1 0 |  0  2 1  0  0 |  *  *  * 20  * *  *  * |  0  0  0  0  1  3 0 0 | 0  0  0  0  3  3 0 | 0 0 3 1
x..o .... .... ....&#x  & |  2  0 1 |  1  0 0  2  0 |  *  *  *  * 20 *  *  * |  0  0  0  3  1  0 0 0 | 0  0  0  3  3  0 0 | 0 1 3 0
o.oo3o.oo3o.oo3o.oo&#x    |  2  0 1 |  0  0 1  2  0 |  *  *  *  *  * 5  *  * ♦  0  0  0  0  4  0 0 0 | 0  0  0  0  6  0 0 | 0 0 4 0
.o..3.x.. .... ....       |  0  3 0 |  0  0 0  0  3 |  *  *  *  *  * * 10  * ♦  0  2  0  0  0  0 2 0 | 0  4  0  0  1  0 1 | 2 0 2 0
.... .x..3.o.. ....       |  0  3 0 |  0  0 0  0  3 |  *  *  *  *  * *  * 20 |  0  0  2  0  0  0 1 1 | 0  2  2  0  0  1 1 | 2 0 1 1
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x...3o...3o... ....     & ♦  4  0 0 |  6  0 0  0  0 |  4  0  0  0  0 0  0  0 | 10  *  *  *  *  * * * | 1  1  0  1  0  0 0 | 1 1 1 0
xo..3ox.. .... ....&#x  & ♦  3  3 0 |  3  6 0  0  3 |  1  3  3  0  0 0  1  0 |  * 20  *  *  *  * * * | 0  2  0  0  1  0 0 | 1 0 2 0
.... ox..3oo.. ....&#x  & ♦  1  3 0 |  0  3 0  0  3 |  0  0  3  0  0 0  0  1 |  *  * 40  *  *  * * * | 0  1  1  0  0  1 0 | 1 0 1 1
x..o3o..o .... ....&#x  & ♦  3  0 1 |  3  0 0  3  0 |  1  0  0  0  3 0  0  0 |  *  *  * 20  *  * * * | 0  0  0  2  1  0 0 | 0 1 2 0
xoxo .... .... ....&#xr   ♦  4  1 1 |  2  4 2  4  0 |  0  2  0  2  2 2  0  0 |  *  *  *  * 10  * * * | 0  0  0  0  3  0 0 | 0 0 3 0
.... oxo. .... ....&#x    ♦  2  2 0 |  0  4 1  0  1 |  0  0  2  2  0 0  0  0 |  *  *  *  *  * 30 * * | 0  0  0  0  1  2 0 | 0 0 2 1
.o..3.x..3.o.. ....       ♦  0  6 0 |  0  0 0  0 12 |  0  0  0  0  0 0  4  4 |  *  *  *  *  *  * 5 * | 0  2  0  0  0  0 1 | 2 0 1 0
.... .x..3.o..3.o..       ♦  0  4 0 |  0  0 0  0  6 |  0  0  0  0  0 0  0  4 |  *  *  *  *  *  * * 5 | 0  0  2  0  0  0 1 | 2 0 0 1
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x...3o...3o...3o...     & ♦  5  0 0 | 10  0 0  0  0 | 10  0  0  0  0 0  0  0 |  5  0  0  0  0  0 0 0 | 2  *  *  *  *  * * | 1 1 0 0
xo..3ox..3oo.. ....&#x  & ♦  4  6 0 |  6 12 0  0 12 |  4  6 12  0  0 0  4  4 |  1  4  4  0  0  0 1 0 | * 10  *  *  *  * * | 1 0 1 0
.... ox..3oo..3oo..&#x  & ♦  1  4 0 |  0  4 0  0  6 |  0  0  6  0  0 0  0  4 |  0  0  4  0  0  0 0 1 | *  * 10  *  *  * * | 1 0 0 1
x..o3o..o3o..o ....&#x  & ♦  4  0 1 |  6  0 0  4  0 |  4  0  0  0  6 0  0  0 |  1  0  0  4  0  0 0 0 | *  *  * 10  *  * * | 0 1 1 0
xoxo3oxoo .... ....&#xr   ♦  6  3 1 |  6 12 3  6  3 |  2  6  6  6  6 3  1  0 |  0  2  0  2  3  3 0 0 | *  *  *  * 10  * * | 0 0 2 0
.... oxo.3ooo. ....&#x    ♦  2  3 0 |  0  6 1  0  3 |  0  0  6  3  0 0  0  1 |  0  0  2  0  0  3 0 0 | *  *  *  *  * 20 * | 0 0 1 1
.o..3.x..3.o..3.o..       ♦  0 10 0 |  0  0 0  0 30 |  0  0  0  0  0 0 10 20 |  0  0  0  0  0  0 5 5 | *  *  *  *  *  * 1 | 2 0 0 0
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
xo..3ox..3oo..3oo..&#x  & ♦  5 10 0 | 10 20 0  0 30 | 10 10 30  0  0 0 10 20 |  5 10 20  0  0  0 5 5 | 1  5  5  0  0  0 1 | 2 * * *
x..o3o..o3o..o3o..o&#x  & ♦  5  0 1 | 10  0 0  5  0 | 10  0  0  0 10 0  0  0 |  5  0  0 10  0  0 0 0 | 1  0  0  5  0  0 0 | * 2 * *
xoxo3oxoo3oooo ....&#xr   ♦  8  6 1 | 12 24 4  8 12 |  8 12 24 12 12 4  4  4 |  2  8  8  8  6 12 1 0 | 0  2  0  2  4  4 0 | * * 5 *
.... oxo.3ooo.3ooo.&#x    ♦  2  4 0 |  0  8 1  0  6 |  0  0 12  4  0 0  0  4 |  0  0  8  0  0  6 0 1 | 0  0  2  0  0  4 0 | * * * 5
```

```oxoox ooooo3ooxoo3oxoxo&#xr   → height(1,2) = height(2,3) = height(4,5) = sqrt(3/8) = 0.612372
height(3,4) = sqrt(5/8) = 0.790569
height(1,5) = sqrt(3)/2 = 0.866025

o.... o....3o....3o....     | 1 * * * * ♦ 8 2 0  0  0 0 0  0  0 0 0 0 | 4 12 1 8 0  0  0  0 0  0  0 0 0 0  0 0 0 0  0 | 8 6 4 12 0  0 0 0  0 0  0  0 0 0 0 0 0 0 | 4 6 2 8 0 0  0 0 0 0 0 0 0 | 1 4 2 0 0 0
.o... .o...3.o...3.o...     | * 8 * * * ♦ 1 0 1  3  3 1 1  0  0 0 0 0 | 1  3 0 1 3  3  3  3 1  3  3 1 0 0  0 0 0 0  0 | 3 3 1  3 1  3 1 3  3 3  3  3 0 0 0 0 0 0 | 3 3 1 3 1 1  3 1 1 3 0 0 0 | 1 3 1 1 1 0
..o.. ..o..3..o..3..o..     | * * 6 * * ♦ 0 0 0  0  4 0 0  4  2 0 0 0 | 0  0 0 0 0  2  8  2 0  0  4 0 2 2  4 1 0 0  0 | 0 1 0  0 0  4 4 4  2 0  8  2 1 2 2 0 0 0 | 2 1 0 0 2 2  4 4 0 4 1 0 0 | 1 2 0 2 2 0
...o. ...o.3...o.3...o.     | * * * 4 * ♦ 0 0 0  0  0 2 0  0  3 3 2 0 | 0  0 0 0 0  0  0  0 1  0  6 2 0 0  3 3 3 1  6 | 0 0 1  0 0  0 0 0  3 0  6  6 0 1 3 1 3 6 | 0 3 0 0 0 0  3 2 0 6 1 3 2 | 0 3 0 1 2 1
....o ....o3....o3....o     | * * * * 2 ♦ 0 1 0  0  0 0 4  0  0 0 4 1 | 0  0 1 4 0  0  0  0 0  6  0 4 0 0  0 0 0 4  6 | 0 0 4  6 0  0 0 0  0 4  0  6 0 0 0 0 6 4 | 0 6 0 4 0 0  0 0 1 4 0 4 1 | 0 4 1 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
oo... oo...3oo...3oo...&#x  | 1 1 0 0 0 | 8 * *  *  * * *  *  * * * * | 1  3 0 1 0  0  0  0 0  0  0 0 0 0  0 0 0 0  0 | 3 3 1  3 0  0 0 0  0 0  0  0 0 0 0 0 0 0 | 3 3 1 3 0 0  0 0 0 0 0 0 0 | 1 3 1 0 0 0
o...o o...o3o...o3o...o&#x  | 1 0 0 0 1 | * 2 *  *  * * *  *  * * * * | 0  0 1 4 0  0  0  0 0  0  0 0 0 0  0 0 0 0  0 | 0 0 4  6 0  0 0 0  0 0  0  0 0 0 0 0 0 0 | 0 6 0 4 0 0  0 0 0 0 0 0 0 | 0 4 1 0 0 0
.x... ..... ..... .....     | 0 2 0 0 0 | * * 4  *  * * *  *  * * * * | 1  0 0 0 0  3  0  0 1  0  0 0 0 0  0 0 0 0  0 | 0 3 1  0 0  3 0 0  3 0  0  0 0 0 0 0 0 0 | 3 3 0 0 1 0  3 0 0 0 0 0 0 | 1 3 0 1 0 0
..... ..... ..... .x...     | 0 2 0 0 0 | * * * 12  * * *  *  * * * * | 0  1 0 0 2  0  0  1 0  1  0 0 0 0  0 0 0 0  0 | 2 1 0  1 1  0 0 2  0 2  0  1 0 0 0 0 0 0 | 2 1 1 2 0 1  0 0 1 2 0 0 0 | 1 2 1 0 1 0
.oo.. .oo..3.oo..3.oo..&#x  | 0 1 1 0 0 | * * *  * 24 * *  *  * * * * | 0  0 0 0 0  1  2  1 0  0  1 0 0 0  0 0 0 0  0 | 0 1 0  0 0  2 1 2  1 0  2  1 0 0 0 0 0 0 | 2 1 0 0 1 1  2 1 0 2 0 0 0 | 1 2 0 1 1 0
.o.o. .o.o.3.o.o.3.o.o.&#x  | 0 1 0 1 0 | * * *  *  * 8 *  *  * * * * | 0  0 0 0 0  0  0  0 1  0  3 1 0 0  0 0 0 0  0 | 0 0 1  0 0  0 0 0  3 0  3  3 0 0 0 0 0 0 | 0 3 0 0 0 0  3 1 0 3 0 0 0 | 0 3 0 1 1 0
.o..o .o..o3.o..o3.o..o&#x  | 0 1 0 0 1 | * * *  *  * * 8  *  * * * * | 0  0 0 1 0  0  0  0 0  3  0 1 0 0  0 0 0 0  0 | 0 0 1  3 0  0 0 0  0 3  0  3 0 0 0 0 0 0 | 0 3 0 3 0 0  0 0 1 3 0 0 0 | 0 3 1 0 1 0
..... ..... ..x.. .....     | 0 0 2 0 0 | * * *  *  * * * 12  * * * * | 0  0 0 0 0  0  2  0 0  0  0 0 1 1  1 0 0 0  0 | 0 0 0  0 0  1 2 2  0 0  2  0 1 1 1 0 0 0 | 1 0 0 0 1 2  1 2 0 2 1 0 0 | 1 1 0 1 2 0
..oo. ..oo.3..oo.3..oo.&#x  | 0 0 1 1 0 | * * *  *  * * *  * 12 * * * | 0  0 0 0 0  0  0  0 0  0  2 0 0 0  2 1 0 0  0 | 0 0 0  0 0  0 0 0  1 0  4  2 0 1 2 0 0 0 | 0 1 0 0 0 0  2 2 0 4 1 0 0 | 0 2 0 1 2 0
..... ..... ..... ...x.     | 0 0 0 2 0 | * * *  *  * * *  *  * 6 * * | 0  0 0 0 0  0  0  0 0  0  0 0 0 0  0 1 2 0  2 | 0 0 0  0 0  0 0 0  0 0  0  2 0 0 2 1 1 4 | 0 1 0 0 0 0  0 0 0 4 1 2 2 | 0 2 0 0 2 1
...oo ...oo3...oo3...oo&#x  | 0 0 0 1 1 | * * *  *  * * *  *  * * 8 * | 0  0 0 0 0  0  0  0 0  0  0 1 0 0  0 0 0 1  3 | 0 0 1  0 0  0 0 0  0 0  0  3 0 0 0 0 3 3 | 0 3 0 0 0 0  0 0 0 3 0 3 1 | 0 3 0 0 1 1
....x ..... ..... .....     | 0 0 0 0 2 | * * *  *  * * *  *  * * * 1 | 0  0 1 0 0  0  0  0 0  0  0 0 0 0  0 0 0 4  0 | 0 0 4  0 0  0 0 0  0 0  0  0 0 0 0 0 6 0 | 0 6 0 0 0 0  0 0 0 0 0 4 0 | 0 4 0 0 0 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
ox... ..... ..... .....&#x  | 1 2 0 0 0 | 2 0 1  0  0 0 0  0  0 0 0 0 | 4  * * * *  *  *  * *  *  * * * *  * * * *  * ♦ 0 3 1  0 0  0 0 0  0 0  0  0 0 0 0 0 0 0 | 3 3 0 0 0 0  0 0 0 0 0 0 0 | 1 3 0 0 0 0
..... ..... ..... ox...&#x  | 1 2 0 0 0 | 2 0 0  1  0 0 0  0  0 0 0 0 | * 12 * * *  *  *  * *  *  * * * *  * * * *  * | 2 1 0  1 0  0 0 0  0 0  0  0 0 0 0 0 0 0 | 2 1 1 2 0 0  0 0 0 0 0 0 0 | 1 2 1 0 0 0
o...x ..... ..... .....&#x  | 1 0 0 0 2 | 0 2 0  0  0 0 0  0  0 0 0 1 | *  * 1 * *  *  *  * *  *  * * * *  * * * *  * ♦ 0 0 4  0 0  0 0 0  0 0  0  0 0 0 0 0 0 0 | 0 6 0 0 0 0  0 0 0 0 0 0 0 | 0 4 0 0 0 0
oo..o oo..o3oo..o3oo..o&#x  | 1 1 0 0 1 | 1 1 0  0  0 0 1  0  0 0 0 0 | *  * * 8 *  *  *  * *  *  * * * *  * * * *  * | 0 0 1  3 0  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 3 1 0 0 0
..... ..... .o...3.x...     | 0 3 0 0 0 | 0 0 0  3  0 0 0  0  0 0 0 0 | *  * * * 8  *  *  * *  *  * * * *  * * * *  * | 1 0 0  0 1  0 0 1  0 1  0  0 0 0 0 0 0 0 | 1 0 1 1 0 1  0 0 1 1 0 0 0 | 1 1 1 0 1 0
.xo.. ..... ..... .....&#x  | 0 2 1 0 0 | 0 0 1  0  2 0 0  0  0 0 0 0 | *  * * * * 12  *  * *  *  * * * *  * * * *  * | 0 1 0  0 0  2 0 0  1 0  0  0 0 0 0 0 0 0 | 2 1 0 0 1 0  2 0 0 0 0 0 0 | 1 2 0 1 0 0
..... ..... .ox.. .....&#x  | 0 1 2 0 0 | 0 0 0  0  2 0 0  1  0 0 0 0 | *  * * * *  * 24  * *  *  * * * *  * * * *  * | 0 0 0  0 0  1 1 1  0 0  1  0 0 0 0 0 0 0 | 1 0 0 0 1 1  1 1 0 1 0 0 0 | 1 1 0 1 1 0
..... ..... ..... .xo..&#x  | 0 2 1 0 0 | 0 0 0  1  2 0 0  0  0 0 0 0 | *  * * * *  *  * 12 *  *  * * * *  * * * *  * ♦ 0 1 0  0 0  0 0 2  0 0  0  1 0 0 0 0 0 0 | 2 1 0 0 0 1  0 0 0 2 0 0 0 | 1 2 0 0 1 0
.x.o. ..... ..... .....&#x  | 0 2 0 1 0 | 0 0 1  0  0 2 0  0  0 0 0 0 | *  * * * *  *  *  * 4  *  * * * *  * * * *  * | 0 0 1  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 3 0 1 0 0
..... ..... ..... .x..o&#x  | 0 2 0 0 1 | 0 0 0  1  0 0 2  0  0 0 0 0 | *  * * * *  *  *  * * 12  * * * *  * * * *  * | 0 0 0  1 0  0 0 0  0 2  0  1 0 0 0 0 0 0 | 0 1 0 2 0 0  0 0 1 2 0 0 0 | 0 2 1 0 1 0
.ooo. .ooo.3.ooo.3.ooo.&#x  | 0 1 1 1 0 | 0 0 0  0  1 1 0  0  1 0 0 0 | *  * * * *  *  *  * *  * 24 * * *  * * * *  * | 0 0 0  0 0  0 0 0  1 0  2  1 0 0 0 0 0 0 | 0 1 0 0 0 0  2 1 0 2 0 0 0 | 0 2 0 1 1 0
.o.oo .o.oo3.o.oo3.o.oo&#x  | 0 1 0 1 1 | 0 0 0  0  0 1 1  0  0 0 1 0 | *  * * * *  *  *  * *  *  * 8 * *  * * * *  * ♦ 0 0 1  0 0  0 0 0  0 0  0  3 0 0 0 0 0 0 | 0 3 0 0 0 0  0 0 0 3 0 0 0 | 0 3 0 0 1 0
..... ..o..3..x.. .....     | 0 0 3 0 0 | 0 0 0  0  0 0 0  3  0 0 0 0 | *  * * * *  *  *  * *  *  * * 4 *  * * * *  * | 0 0 0  0 0  0 2 0  0 0  0  0 1 1 0 0 0 0 | 0 0 0 0 1 2  0 2 0 0 1 0 0 | 1 0 0 1 2 0
..... ..... ..x..3..o..     | 0 0 3 0 0 | 0 0 0  0  0 0 0  3  0 0 0 0 | *  * * * *  *  *  * *  *  * * * 4  * * * *  * ♦ 0 0 0  0 0  0 0 2  0 0  0  0 1 0 1 0 0 0 | 1 0 0 0 0 2  0 0 0 2 1 0 0 | 1 1 0 0 2 0
..... ..... ..xo. .....&#x  | 0 0 2 1 0 | 0 0 0  0  0 0 0  1  2 0 0 0 | *  * * * *  *  *  * *  *  * * * * 12 * * *  * | 0 0 0  0 0  0 0 0  0 0  2  0 0 1 1 0 0 0 | 0 0 0 0 0 0  1 2 0 2 1 0 0 | 0 1 0 1 2 0
..... ..... ..... ..ox.&#x  | 0 0 1 2 0 | 0 0 0  0  0 0 0  0  2 1 0 0 | *  * * * *  *  *  * *  *  * * * *  * 6 * *  * ♦ 0 0 0  0 0  0 0 0  0 0  0  2 0 0 2 0 0 0 | 0 1 0 0 0 0  0 0 0 4 1 0 0 | 0 2 0 0 2 0
..... ..... ...o.3...x.     | 0 0 0 3 0 | 0 0 0  0  0 0 0  0  0 3 0 0 | *  * * * *  *  *  * *  *  * * * *  * * 4 *  * | 0 0 0  0 0  0 0 0  0 0  0  0 0 0 1 1 0 2 | 0 0 0 0 0 0  0 0 0 2 1 1 2 | 0 1 0 0 2 1
...ox ..... ..... .....&#x  | 0 0 0 1 2 | 0 0 0  0  0 0 0  0  0 0 2 1 | *  * * * *  *  *  * *  *  * * * *  * * * 4  * | 0 0 1  0 0  0 0 0  0 0  0  0 0 0 0 0 3 0 | 0 3 0 0 0 0  0 0 0 0 0 3 0 | 0 3 0 0 0 1
..... ..... ..... ...xo&#x  | 0 0 0 2 1 | 0 0 0  0  0 0 0  0  0 1 2 0 | *  * * * *  *  *  * *  *  * * * *  * * * * 12 | 0 0 0  0 0  0 0 0  0 0  0  1 0 0 0 0 1 2 | 0 1 0 0 0 0  0 0 0 2 0 2 1 | 0 2 0 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
..... ..... oo...3ox...&#x  ♦ 1 3 0 0 0 | 3 0 0  3  0 0 0  0  0 0 0 0 | 0  3 0 0 1  0  0  0 0  0  0 0 0 0  0 0 0 0  0 | 8 * *  * *  * * *  * *  *  * * * * * * * | 1 0 1 1 0 0  0 0 0 0 0 0 0 | 1 1 1 0 0 0
oxo.. ..... ..... oxo..&#xt ♦ 1 4 1 0 0 | 4 0 2  2  4 0 0  0  0 0 0 0 | 2  2 0 0 0  2  0  2 0  0  0 0 0 0  0 0 0 0  0 | * 6 *  * *  * * *  * *  *  * * * * * * * | 2 1 0 0 0 0  0 0 0 0 0 0 0 | 1 2 0 0 0 0
ox.ox ..... ..... .....&#xr ♦ 1 2 0 1 2 | 2 2 1  0  0 2 2  0  0 0 2 1 | 1  0 1 2 0  0  0  0 1  0  0 2 0 0  0 0 0 1  0 | * * 4  * *  * * *  * *  *  * * * * * * * | 0 3 0 0 0 0  0 0 0 0 0 0 0 | 0 3 0 0 0 0
..... ..... ..... ox..o&#x  ♦ 1 2 0 0 1 | 2 1 0  1  0 0 2  0  0 0 0 0 | 0  1 0 2 0  0  0  0 0  1  0 0 0 0  0 0 0 0  0 | * * * 12 *  * * *  * *  *  * * * * * * * | 0 1 0 2 0 0  0 0 0 0 0 0 0 | 0 2 1 0 0 0
..... .o...3.o...3.x...     ♦ 0 4 0 0 0 | 0 0 0  6  0 0 0  0  0 0 0 0 | 0  0 0 0 4  0  0  0 0  0  0 0 0 0  0 0 0 0  0 | * * *  * 2  * * *  * *  *  * * * * * * * | 0 0 1 0 0 1  0 0 1 0 0 0 0 | 1 0 1 0 1 0
.xo.. ..... .ox.. .....&#x  ♦ 0 2 2 0 0 | 0 0 1  0  4 0 0  1  0 0 0 0 | 0  0 0 0 0  2  2  0 0  0  0 0 0 0  0 0 0 0  0 | * * *  * * 12 * *  * *  *  * * * * * * * | 1 0 0 0 1 0  1 0 0 0 0 0 0 | 1 1 0 1 0 0
..... .oo..3.ox.. .....&#x  ♦ 0 1 3 0 0 | 0 0 0  0  3 0 0  3  0 0 0 0 | 0  0 0 0 0  0  3  0 0  0  0 0 1 0  0 0 0 0  0 | * * *  * *  * 8 *  * *  *  * * * * * * * | 0 0 0 0 1 1  0 1 0 0 0 0 0 | 1 0 0 1 1 0
..... ..... .ox..3.xo..&#x  ♦ 0 3 3 0 0 | 0 0 0  3  6 0 0  3  0 0 0 0 | 0  0 0 0 1  0  3  3 0  0  0 0 0 1  0 0 0 0  0 | * * *  * *  * * 8  * *  *  * * * * * * * | 1 0 0 0 0 1  0 0 0 1 0 0 0 | 1 1 0 0 1 0
.xoo. ..... ..... .....&#x  ♦ 0 2 1 1 0 | 0 0 1  0  2 2 0  0  1 0 0 0 | 0  0 0 0 0  1  0  0 1  0  2 0 0 0  0 0 0 0  0 | * * *  * *  * * * 12 *  *  * * * * * * * | 0 1 0 0 0 0  2 0 0 0 0 0 0 | 0 2 0 1 0 0
..... ..... .o..o3.x..o&#x  ♦ 0 3 0 0 1 | 0 0 0  3  0 0 3  0  0 0 0 0 | 0  0 0 0 1  0  0  0 0  3  0 0 0 0  0 0 0 0  0 | * * *  * *  * * *  * 8  *  * * * * * * * | 0 0 0 1 0 0  0 0 1 1 0 0 0 | 0 1 1 0 1 0
..... ..... .oxo. .....&#x  ♦ 0 1 2 1 0 | 0 0 0  0  2 1 0  1  2 0 0 0 | 0  0 0 0 0  0  1  0 0  0  2 0 0 0  1 0 0 0  0 | * * *  * *  * * *  * * 24  * * * * * * * | 0 0 0 0 0 0  1 1 0 1 0 0 0 | 0 1 0 1 1 0
..... ..... ..... .xoxo&#xr ♦ 0 2 1 2 1 | 0 0 0  1  2 2 2  0  2 1 2 0 | 0  0 0 0 0  0  0  1 0  1  2 2 0 0  0 1 0 0  1 | * * *  * *  * * *  * *  * 12 * * * * * * | 0 1 0 0 0 0  0 0 0 2 0 0 0 | 0 2 0 0 1 0
..... ..o..3..x..3..o..     ♦ 0 0 6 0 0 | 0 0 0  0  0 0 0 12  0 0 0 0 | 0  0 0 0 0  0  0  0 0  0  0 0 4 4  0 0 0 0  0 | * * *  * *  * * *  * *  *  * 1 * * * * * | 0 0 0 0 0 2  0 0 0 0 1 0 0 | 1 0 0 0 2 0
..... ..oo.3..xo. .....&#x  ♦ 0 0 3 1 0 | 0 0 0  0  0 0 0  3  3 0 0 0 | 0  0 0 0 0  0  0  0 0  0  0 0 1 0  3 0 0 0  0 | * * *  * *  * * *  * *  *  * * 4 * * * * | 0 0 0 0 0 0  0 2 0 0 1 0 0 | 0 0 0 1 2 0
..... ..... ..xo.3..ox.&#x  ♦ 0 0 3 3 0 | 0 0 0  0  0 0 0  3  6 3 0 0 | 0  0 0 0 0  0  0  0 0  0  0 0 0 1  3 3 1 0  0 | * * *  * *  * * *  * *  *  * * * 4 * * * | 0 0 0 0 0 0  0 0 0 2 1 0 0 | 0 1 0 0 2 0
..... ...o.3...o.3...x.     ♦ 0 0 0 4 0 | 0 0 0  0  0 0 0  0  0 6 0 0 | 0  0 0 0 0  0  0  0 0  0  0 0 0 0  0 0 4 0  0 | * * *  * *  * * *  * *  *  * * * * 1 * * | 0 0 0 0 0 0  0 0 0 0 1 0 2 | 0 0 0 0 2 1
...ox ..... ..... ...xo&#x  ♦ 0 0 0 2 2 | 0 0 0  0  0 0 0  0  0 1 4 1 | 0  0 0 0 0  0  0  0 0  0  0 0 0 0  0 0 0 2  2 | * * *  * *  * * *  * *  *  * * * * * 6 * | 0 1 0 0 0 0  0 0 0 0 0 2 0 | 0 2 0 0 0 1
..... ..... ...oo3...xo&#x  ♦ 0 0 0 3 1 | 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 0  0 0 1 0  3 | * * *  * *  * * *  * *  *  * * * * * * 8 | 0 0 0 0 0 0  0 0 0 1 0 1 1 | 0 1 0 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
oxo.. ..... oox..3oxo..&#xt ♦ 1 6 3 0 0 | 6 0 3  6 12 0 0  3  0 0 0 0 | 3  6 0 0 2  6  6  6 0  0  0 0 0 1  0 0 0 0  0 | 2 3 0  0 0  3 0 2  0 0  0  0 0 0 0 0 0 0 | 4 * * * * *  * * * * * * * | 1 1 0 0 0 0
oxoox ..... ..... oxoxo&#xr ♦ 1 4 1 2 2 | 4 2 2  2  4 4 4  0  2 1 4 1 | 2  2 1 4 0  2  0  2 2  2  4 4 0 0  0 1 0 2  2 | 0 1 2  2 0  0 0 0  2 0  0  2 0 0 0 0 1 0 | * 6 * * * *  * * * * * * * | 0 2 0 0 0 0
..... oo...3oo...3ox...&#x  ♦ 1 4 0 0 0 | 4 0 0  6  0 0 0  0  0 0 0 0 | 0  6 0 0 4  0  0  0 0  0  0 0 0 0  0 0 0 0  0 | 4 0 0  0 1  0 0 0  0 0  0  0 0 0 0 0 0 0 | * * 2 * * *  * * * * * * * | 1 0 1 0 0 0
..... ..... oo..o3ox..o&#x  ♦ 1 3 0 0 1 | 3 1 0  3  0 0 3  0  0 0 0 0 | 0  3 0 3 1  0  0  0 0  3  0 0 0 0  0 0 0 0  0 | 1 0 0  3 0  0 0 0  0 1  0  0 0 0 0 0 0 0 | * * * 8 * *  * * * * * * * | 0 1 1 0 0 0
.xo.. .oo..3.ox.. .....&#x  ♦ 0 2 3 0 0 | 0 0 1  0  6 0 0  3  0 0 0 0 | 0  0 0 0 0  3  6  0 0  0  0 0 1 0  0 0 0 0  0 | 0 0 0  0 0  3 2 0  0 0  0  0 0 0 0 0 0 0 | * * * * 4 *  * * * * * * * | 1 0 0 1 0 0
..... .oo..3.ox..3.xo..&#x  ♦ 0 4 6 0 0 | 0 0 0  6 12 0 0 12  0 0 0 0 | 0  0 0 0 4  0 12  6 0  0  0 0 4 4  0 0 0 0  0 | 0 0 0  0 1  0 4 4  0 0  0  0 1 0 0 0 0 0 | * * * * * 2  * * * * * * * | 1 0 0 0 1 0
.xoo. ..... .oxo. .....&#x  ♦ 0 2 2 1 0 | 0 0 1  0  4 2 0  1  2 0 0 0 | 0  0 0 0 0  2  2  0 1  0  4 0 0 0  1 0 0 0  0 | 0 0 0  0 0  1 0 0  2 0  2  0 0 0 0 0 0 0 | * * * * * * 12 * * * * * * | 0 1 0 1 0 0
..... .ooo.3.oxo. .....&#x  ♦ 0 1 3 1 0 | 0 0 0  0  3 1 0  3  3 0 0 0 | 0  0 0 0 0  0  3  0 0  0  3 0 1 0  3 0 0 0  0 | 0 0 0  0 0  0 1 0  0 0  3  0 0 1 0 0 0 0 | * * * * * *  * 8 * * * * * | 0 0 0 1 1 0
..... .o..o3.o..o3.x..o&#x  ♦ 0 4 0 0 1 | 0 0 0  6  0 0 4  0  0 0 0 0 | 0  0 0 0 4  0  0  0 0  6  0 0 0 0  0 0 0 0  0 | 0 0 0  0 1  0 0 0  0 4  0  0 0 0 0 0 0 0 | * * * * * *  * * 2 * * * * | 0 0 1 0 1 0
..... ..... .oxoo3.xoxo&#xr ♦ 0 3 3 3 1 | 0 0 0  3  6 3 3  3  6 3 3 0 | 0  0 0 0 1  0  3  3 0  3  6 3 0 1  3 3 1 0  3 | 0 0 0  0 0  0 0 1  0 1  3  3 0 0 1 0 0 1 | * * * * * *  * * * 8 * * * | 0 1 0 0 1 0
..... ..oo.3..xo.3..ox.&#x  ♦ 0 0 6 4 0 | 0 0 0  0  0 0 0 12 12 6 0 0 | 0  0 0 0 0  0  0  0 0  0  0 0 4 4 12 6 4 0  0 | 0 0 0  0 0  0 0 0  0 0  0  0 1 4 4 1 0 0 | * * * * * *  * * * * 1 * * | 0 0 0 0 2 0
...ox ..... ...oo3...xo&#x  ♦ 0 0 0 3 2 | 0 0 0  0  0 0 0  0  0 3 6 1 | 0  0 0 0 0  0  0  0 0  0  0 0 0 0  0 0 1 3  6 | 0 0 0  0 0  0 0 0  0 0  0  0 0 0 0 0 3 2 | * * * * * *  * * * * * 4 * | 0 1 0 0 0 1
..... ...oo3...oo3...xo&#x  ♦ 0 0 0 4 1 | 0 0 0  0  0 0 0  0  0 6 4 0 | 0  0 0 0 0  0  0  0 0  0  0 0 0 0  0 0 4 0  6 | 0 0 0  0 0  0 0 0  0 0  0  0 0 0 0 1 0 4 | * * * * * *  * * * * * * 2 | 0 0 0 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
oxo.. ooo..3oox..3oxo..&#xt ♦ 1 8 6 0 0 | 8 0 4 12 24 0 0 12  0 0 0 0 | 4 12 0 0 8 12 24 12 0  0  0 0 4 4  0 0 0 0  0 | 8 6 0  0 2 12 8 8  0 0  0  0 1 0 0 0 0 0 | 4 0 2 0 4 2  0 0 0 0 0 0 0 | 1 * * * * *
oxoox ..... ooxoo3oxoxo&#xr ♦ 1 6 3 3 2 | 6 2 3  6 12 6 6  3  6 3 6 1 | 3  6 1 6 2  6  6  6 3  6 12 6 0 1  3 3 1 3  6 | 2 3 3  6 0  3 0 2  6 2  6  6 0 0 1 0 3 2 | 1 3 0 2 0 0  3 0 0 2 0 1 0 | * 4 * * * *
..... oo..o3oo..o3ox..o&#x  ♦ 1 4 0 0 1 | 4 1 0  6  0 0 4  0  0 0 0 0 | 0  6 0 4 4  0  0  0 0  6  0 0 0 0  0 0 0 0  0 | 4 0 0  6 1  0 0 0  0 4  0  0 0 0 0 0 0 0 | 0 0 1 4 0 0  0 0 1 0 0 0 0 | * * 2 * * *
.xoo. .ooo.3.oxo. .....&#x  ♦ 0 2 3 1 0 | 0 0 1  0  6 2 0  3  3 0 0 0 | 0  0 0 0 0  3  6  0 1  0  6 0 1 0  3 0 0 0  0 | 0 0 0  0 0  3 2 0  3 0  6  0 0 1 0 0 0 0 | 0 0 0 0 1 0  3 2 0 0 0 0 0 | * * * 4 * *
..... .oooo3.oxoo3.xoxo&#xr ♦ 0 4 6 4 1 | 0 0 0  6 12 4 4 12 12 6 4 0 | 0  0 0 0 4  0 12  6 0  6 12 4 4 4 12 6 4 0  6 | 0 0 0  0 1  0 4 4  0 4 12  6 1 4 4 1 0 4 | 0 0 0 0 0 1  0 4 1 4 1 0 1 | * * * * 2 *
...ox ...oo3...oo3...xo&#x  ♦ 0 0 0 4 2 | 0 0 0  0  0 0 0  0  0 6 8 1 | 0  0 0 0 0  0  0  0 0  0  0 0 0 0  0 0 4 4 12 | 0 0 0  0 0  0 0 0  0 0  0  0 0 0 0 1 6 8 | 0 0 0 0 0 0  0 0 0 0 0 4 2 | * * * * * 1
```