Acronym dot (alt.: rapa)
Name dodecateron,
birectified hexateron,
equatorial cross-section of (vertex first) 1/q-ax,
rap alterprism,
rap atop inverted rap,
vertex figure of mo,
Gosset polytope 02,2
Field of sections
` ©`
Circumradius sqrt(3)/2 = 0.866025
Inradius sqrt(3/20) = 0.387298
Vertex figure
` ©    ©`
Lace city
in approx. ASCII-art
 ``` ©   ``` ``` o o x o x o -- x3o3o o (tet) x o o x x x x o o -- o3x3o x (ope) o x o o o x -- o3o3x o (dual tet) ```
```  O   t      T=x3o3o (tet)
O=o3x3o (oct)
T   O        t=o3o3x (dual tet)
```
```          +-------------- x3o3o o (tet)
/      +-------- o3x3o x (ope)
/      /      +-- o3o3x o (dual tet)
/      /      /

o x3o  x o3x  o o3o		-- o3x3o3o (rap)

o o3o  x x3o  o o3x   		-- o3o3x3o (inv. rap)

\       \     \     \
\       \     \     +-- o3o o3o (point)
\       \     +------- o3x o3x (triddip)
\       +------------ x3o x3o (bidual triddip)
+------------------- o3o o3o (point)
```
Coordinates
1. (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 0, sqrt(3/8))   & any even change of signs
(dual pair of tip tets)
2. (1/sqrt(2), 0, 0, 1/2, 0)   & all permutations in the first 3 coordinates, all changes of sign
(equatorial pseudo ope)
Volume 11 sqrt(3)/80 = 0.238157
Surface 11 sqrt(5)/8 = 3.074593
Colonel of regiment (is itself locally convex – uniform polyteral members:
 by cells: firp ope pinnip rap triddip bad 12 0 0 0 20 caddix 6 15 6 6 0 cabbix 0 15 0 6 20 bend 0 0 12 0 20 dot 0 0 0 12 0
)
Dihedral angles
(at margins)
• at oct between rap and rap:   arccos(-1/5) = 101.536959°
• at tet between rap and rap:   arccos(1/5) = 78.463041°
Dual bidot
Confer
segmentotera:
triddippy   tridafup   tetcubedaw   teta ope   taope
general polytopal classes:
noble polytopes   segmentotera   fundamental lace prisms   lace simplices   Coxeter-Elte-Gosset polytopes
analogs:
birectified simplex brSn   mid-rectified simplex mrSn
External

Aside: There is also a polyteron which likewise uses O, T, and t (cf. Lace city), but has an sharper angle at O: the oct || hex. (That relation kind of is like cube to a pair of laterally adjoined trips, with its q sized face diagonal versus an x sized true edge.) As dot has edges connecting the opposite pair of octs, these clearly are missing in  oct || hex. Conversely, the structure of hex, except of the pair of opposite bases (tets), are missing in dot (because those else would have to be joined by q-sized lacings) but occurs there for sure.

Incidence matrix according to Dynkin symbol

```o3o3x3o3o

. . . . . | 20 ♦  9 |  9  9 |  3  9  3 | 3 3
----------+----+----+-------+----------+----
. . x . . |  2 | 90 |  2  2 |  1  4  1 | 2 2
----------+----+----+-------+----------+----
. o3x . . |  3 |  3 | 60  * |  1  2  0 | 2 1
. . x3o . |  3 |  3 |  * 60 |  0  2  1 | 1 2
----------+----+----+-------+----------+----
o3o3x . . ♦  4 |  6 |  4  0 | 15  *  * | 2 0
. o3x3o . ♦  6 | 12 |  4  4 |  * 30  * | 1 1
. . x3o3o ♦  4 |  6 |  0  4 |  *  * 15 | 0 2
----------+----+----+-------+----------+----
o3o3x3o . ♦ 10 | 30 | 20 10 |  5  5  0 | 6 *
. o3x3o3o ♦ 10 | 30 | 10 20 |  0  5  5 | * 6
```
```or
. . . . .    | 20 ♦  9 |  18 |  6  9 |  6
-------------+----+----+-----+-------+---
. . x . .    |  2 | 90 |   4 |  2  4 |  4
-------------+----+----+-----+-------+---
. o3x . .  & |  3 |  3 | 120 |  1  2 |  3
-------------+----+----+-----+-------+---
o3o3x . .  & ♦  4 |  6 |   4 | 30  * |  2
. o3x3o .    ♦  6 | 12 |   8 |  * 30 |  2
-------------+----+----+-----+-------+---
o3o3x3o .  & ♦ 10 | 30 |  30 |  5  5 | 12
```

```o3/2o3x3o3o

.   . . . . | 20 ♦  9 |  9  9 |  3  9  3 | 3 3
------------+----+----+-------+----------+----
.   . x . . |  2 | 90 |  2  2 |  1  4  1 | 2 2
------------+----+----+-------+----------+----
.   o3x . . |  3 |  3 | 60  * |  1  2  0 | 2 1
.   . x3o . |  3 |  3 |  * 60 |  0  2  1 | 1 2
------------+----+----+-------+----------+----
o3/2o3x . . ♦  4 |  6 |  4  0 | 15  *  * | 2 0
.   o3x3o . ♦  6 | 12 |  4  4 |  * 30  * | 1 1
.   . x3o3o ♦  4 |  6 |  0  4 |  *  * 15 | 0 2
------------+----+----+-------+----------+----
o3/2o3x3o . ♦ 10 | 30 | 20 10 |  5  5  0 | 6 *
.   o3x3o3o ♦ 10 | 30 | 10 20 |  0  5  5 | * 6
```

```oo3xo3ox3oo&#x   → height = sqrt(3/5) = 0.774597
(rap || inv rap)

o.3o.3o.3o.    | 10  * ♦  6  3  0 |  3  6  6  3  0  0 | 3 2  3  6  1 0 0 | 1 3 2 0
.o3.o3.o3.o    |  * 10 ♦  0  3  6 |  0  0  3  6  6  3 | 0 0  1  6  3 2 3 | 0 2 3 1
---------------+-------+----------+-------------------+------------------+--------
.. x. .. ..    |  2  0 | 30  *  * |  1  2  1  0  0  0 | 2 1  1  2  0 0 0 | 1 2 1 0
oo3oo3oo3oo&#x |  1  1 |  * 30  * |  0  0  2  2  0  0 | 0 0  1  4  1 0 0 | 0 2 2 0
.. .. .x ..    |  0  2 |  *  * 30 |  0  0  0  1  2  1 | 0 0  0  2  1 1 2 | 0 1 2 1
---------------+-------+----------+-------------------+------------------+--------
o.3x. .. ..    |  3  0 |  3  0  0 | 10  *  *  *  *  * | 2 0  1  0  0 0 0 | 1 2 0 0
.. x.3o. ..    |  3  0 |  3  0  0 |  * 20  *  *  *  * | 1 1  0  1  0 0 0 | 1 1 1 0
.. xo .. ..&#x |  2  1 |  1  2  0 |  *  * 30  *  *  * | 0 0  1  2  0 0 0 | 0 2 1 0
.. .. ox ..&#x |  1  2 |  0  2  1 |  *  *  * 30  *  * | 0 0  0  2  1 0 0 | 0 1 2 0
.. .o3.x ..    |  0  3 |  0  0  3 |  *  *  *  * 20  * | 0 0  0  1  0 1 1 | 0 1 1 1
.. .. .x3.o    |  0  3 |  0  0  3 |  *  *  *  *  * 10 | 0 0  0  0  1 0 2 | 0 0 2 1
---------------+-------+----------+-------------------+------------------+--------
o.3x.3o. ..    ♦  6  0 | 12  0  0 |  4  4  0  0  0  0 | 5 *  *  *  * * * | 1 1 0 0
.. x.3o.3o.    ♦  4  0 |  6  0  0 |  0  4  0  0  0  0 | * 5  *  *  * * * | 1 0 1 0
oo3xo .. ..&#x ♦  3  1 |  3  3  0 |  1  0  3  0  0  0 | * * 10  *  * * * | 0 2 0 0
.. xo3ox ..&#x ♦  3  3 |  3  6  3 |  0  1  3  3  1  0 | * *  * 20  * * * | 0 1 1 0
.. .. ox3oo&#x ♦  1  3 |  0  3  3 |  0  0  0  3  0  1 | * *  *  * 10 * * | 0 0 2 0
.o3.o3.x ..    ♦  0  4 |  0  0  6 |  0  0  0  0  4  0 | * *  *  *  * 5 * | 0 1 0 1
.. .o3.x3.o    ♦  0  6 |  0  0 12 |  0  0  0  0  4  4 | * *  *  *  * * 5 | 0 0 1 1
---------------+-------+----------+-------------------+------------------+--------
o.3x.3o.3o.    ♦ 10  0 | 30  0  0 | 10 20  0  0  0  0 | 5 5  0  0  0 0 0 | 1 * * *
oo3xo3ox ..&#x ♦  6  4 | 12 12  6 |  4  4 12  6  4  0 | 1 0  4  4  0 1 0 | * 5 * *
.. xo3ox3oo&#x ♦  4  6 |  6 12 12 |  0  4  6 12  4  4 | 0 1  0  4  4 0 1 | * * 5 *
.o3.o3.x3.o    ♦  0 10 |  0  0 30 |  0  0  0  0 20 10 | 0 0  0  0  0 5 5 | * * * 1
```
```or
o.3o.3o.3o.    & | 20 ♦  6  3 |  3  6  9 |  3  2  4  6 | 1  5
-----------------+----+-------+----------+-------------+-----
.. x. .. ..    & |  2 | 60  * |  1  2  1 |  2  1  1  2 | 1  3
oo3oo3oo3oo&#x   |  2 |  * 30 |  0  0  4 |  0  0  2  4 | 0  4
-----------------+----+-------+----------+-------------+-----
o.3x. .. ..    & |  3 |  3  0 | 20  *  * |  2  0  1  0 | 1  2
.. x.3o. ..    & |  3 |  3  0 |  * 40  * |  1  1  0  1 | 1  2
.. xo .. ..&#x & |  3 |  1  2 |  *  * 60 |  0  0  1  2 | 0  3
-----------------+----+-------+----------+-------------+-----
o.3x.3o. ..    & ♦  6 | 12  0 |  4  4  0 | 10  *  *  * | 1  1
.. x.3o.3o.    & ♦  4 |  6  0 |  0  4  0 |  * 10  *  * | 1  1
oo3xo .. ..&#x & ♦  4 |  3  3 |  1  0  3 |  *  * 20  * | 0  2
.. xo3ox ..&#x   ♦  6 |  6  6 |  0  2  6 |  *  *  * 20 | 0  2
-----------------+----+-------+----------+-------------+-----
o.3x.3o.3o.    & ♦ 10 | 30  0 | 10 20  0 |  5  5  0  0 | 2  *
oo3xo3ox ..&#x & ♦ 10 | 18 12 |  4  8 18 |  1  1  4  4 | * 10
```

```oxoo3ooxo oxoo3ooxo&#xt   → all heights = 1/sqrt(3) = 0.577350
(pt || pseudo triddip || pseudo bidual triddip || pt)

o...3o... o...3o...     | 1 * * * ♦ 9 0 0  0 0 0 0 | 9 9 0 0  0  0  0  0 0 0 0 0 | 3 9 3 0 0 0 0 0 0 0 | 3 3 0 0
.o..3.o.. .o..3.o..     | * 9 * * ♦ 1 2 2  4 0 0 0 | 2 2 1 1  2  1  2  1 0 0 0 0 | 1 4 1 2 2 2 1 2 0 0 | 2 2 1 1
..o.3..o. ..o.3..o.     | * * 9 * ♦ 0 0 0  4 2 2 1 | 0 0 0 0  2  4  2  4 1 1 2 2 | 0 1 0 2 2 2 4 2 1 1 | 1 1 2 2
...o3...o ...o3...o     | * * * 1 ♦ 0 0 0  0 0 0 9 | 0 0 0 0  0  0  0  0 0 0 9 9 | 0 0 0 0 0 0 9 0 3 3 | 0 0 3 3
------------------------+---------+----------------+-----------------------------+---------------------+--------
oo..3oo.. oo..3oo..&#x  | 1 1 0 0 | 9 * *  * * * * | 2 2 0 0  0  0  0  0 0 0 0 0 | 1 4 1 0 0 0 0 0 0 0 | 2 2 0 0
.x.. .... .... ....     | 0 2 0 0 | * 9 *  * * * * | 1 0 1 0  2  0  0  0 0 0 0 0 | 1 2 0 2 1 0 0 0 0 0 | 2 1 1 0
.... .... .x.. ....     | 0 2 0 0 | * * 9  * * * * | 0 1 0 1  0  0  2  0 0 0 0 0 | 0 2 1 0 0 1 0 2 0 0 | 1 2 0 1
.oo.3.oo. .oo.3.oo.&#x  | 0 1 1 0 | * * * 36 * * * | 0 0 0 0  1  1  1  1 0 0 0 0 | 0 1 0 1 1 1 1 1 0 0 | 1 1 1 1
.... ..x. .... ....     | 0 0 2 0 | * * *  * 9 * * | 0 0 0 0  0  2  0  0 1 0 1 0 | 0 0 0 2 0 1 2 0 1 0 | 1 0 2 1
.... .... .... ..x.     | 0 0 2 0 | * * *  * * 9 * | 0 0 0 0  0  0  0  2 0 1 0 1 | 0 0 0 0 1 0 2 2 0 1 | 0 1 1 2
..oo3..oo ..oo3..oo&#x  | 0 0 1 1 | * * *  * * * 9 | 0 0 0 0  0  0  0  0 0 0 2 2 | 0 0 0 0 0 0 4 0 1 1 | 0 0 2 2
------------------------+---------+----------------+-----------------------------+---------------------+--------
ox.. .... .... ....&#x  | 1 2 0 0 | 2 1 0  0 0 0 0 | 9 * * *  *  *  *  * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0
.... .... ox.. ....&#x  | 1 2 0 0 | 2 0 1  0 0 0 0 | * 9 * *  *  *  *  * * * * * | 0 2 1 0 0 0 0 0 0 0 | 1 2 0 0
.x..3.o.. .... ....     | 0 3 0 0 | 0 3 0  0 0 0 0 | * * 3 *  *  *  *  * * * * * | 1 0 0 2 0 0 0 0 0 0 | 2 0 1 0
.... .... .x..3.o..     | 0 3 0 0 | 0 0 3  0 0 0 0 | * * * 3  *  *  *  * * * * * | 0 0 1 0 0 0 0 2 0 0 | 0 2 0 1
.xo. .... .... ....&#x  | 0 2 1 0 | 0 1 0  2 0 0 0 | * * * * 18  *  *  * * * * * | 0 1 0 1 1 0 0 0 0 0 | 1 1 1 0
.... .ox. .... ....&#x  | 0 1 2 0 | 0 0 0  2 1 0 0 | * * * *  * 18  *  * * * * * | 0 0 0 1 0 1 1 0 0 0 | 1 0 1 1
.... .... .xo. ....&#x  | 0 2 1 0 | 0 0 1  2 0 0 0 | * * * *  *  * 18  * * * * * | 0 1 0 0 0 1 0 1 0 0 | 1 1 0 1
.... .... .... .ox.&#x  | 0 1 2 0 | 0 0 0  2 0 1 0 | * * * *  *  *  * 18 * * * * | 0 0 0 0 1 0 1 1 0 0 | 0 1 1 1
..o.3..x. .... ...      | 0 0 3 0 | 0 0 0  0 3 0 0 | * * * *  *  *  *  * 3 * * * | 0 0 0 1 0 0 0 0 1 0 | 1 0 2 0
.... .... ..o.3..x.     | 0 0 3 0 | 0 0 0  0 0 3 0 | * * * *  *  *  *  * * 3 * * | 0 0 0 0 0 0 0 2 0 1 | 0 1 0 2
.... ..xo .... ....&#x  | 0 0 2 1 | 0 0 0  0 1 0 2 | * * * *  *  *  *  * * * 9 * | 0 0 0 0 0 0 2 0 1 0 | 0 0 2 1
.... .... .... ..xo&#x  | 0 0 2 1 | 0 0 0  0 0 1 2 | * * * *  *  *  *  * * * * 9 | 0 0 0 0 0 0 2 0 0 1 | 0 0 1 2
------------------------+---------+----------------+-----------------------------+---------------------+--------
ox..3oo.. .... ....&#x  ♦ 1 3 0 0 | 3 3 0  0 0 0 0 | 3 0 1 0  0  0  0  0 0 0 0 0 | 3 * * * * * * * * * | 2 0 0 0
oxo. .... oxo. ....&#xt ♦ 1 4 1 0 | 4 2 2  4 0 0 0 | 2 2 0 0  2  0  2  0 0 0 0 0 | * 9 * * * * * * * * | 1 1 0 0
.... .... ox..3oo..&#x  ♦ 1 3 0 0 | 3 0 3  0 0 0 0 | 0 3 0 1  0  0  0  0 0 0 0 0 | * * 3 * * * * * * * | 0 2 0 0
.xo.3.ox. .... ....&#x  ♦ 0 3 3 0 | 0 3 0  6 3 0 0 | 0 0 1 0  3  3  0  0 1 0 0 0 | * * * 6 * * * * * * | 1 0 1 0
.xo. .... .... .ox.&#x  ♦ 0 2 2 0 | 0 1 0  4 0 1 0 | 0 0 0 0  2  0  0  2 0 0 0 0 | * * * * 9 * * * * * | 0 1 1 0
.... .ox. .xo. ....&#x  ♦ 0 2 2 0 | 0 0 1  4 1 0 0 | 0 0 0 0  0  2  2  0 0 0 0 0 | * * * * * 9 * * * * | 1 0 0 1
.... .oxo .... .oxo&#x  ♦ 0 1 4 1 | 0 0 0  4 2 2 4 | 0 0 0 0  0  2  0  2 0 0 2 2 | * * * * * * 9 * * * | 0 0 1 1
.... .... .xo.3.ox.&#x  ♦ 0 3 3 0 | 0 0 3  6 0 3 0 | 0 0 0 1  0  0  3  3 0 1 0 0 | * * * * * * * 6 * * | 0 1 0 1
..oo3..xo .... ....&#x  ♦ 0 0 3 1 | 0 0 0  0 3 0 3 | 0 0 0 0  0  0  0  0 1 0 3 0 | * * * * * * * * 3 * | 0 0 0 2
.... .... ..oo3..xo&#x  ♦ 0 0 3 1 | 0 0 0  0 0 3 3 | 0 0 0 0  0  0  0  0 0 1 0 3 | * * * * * * * * * 3 | 0 0 2 0
------------------------+---------+----------------+-----------------------------+---------------------+--------
oxo.3oox. oxo. ....&#xt ♦ 1 6 3 0 | 6 6 3 12 3 0 0 | 6 3 2 0  6  6  6  0 1 0 0 0 | 2 3 0 2 0 3 0 0 0 0 | 3 * * *
oxo. .... oxo.3oox.&#xt ♦ 1 6 3 0 | 6 3 6 12 0 3 0 | 3 6 0 2  6  0  6  6 0 1 0 0 | 0 3 2 0 3 0 0 2 0 0 | * 3 * *
.xoo3.oxo .... .oxo&#xt ♦ 0 3 6 1 | 0 3 0 12 6 3 6 | 0 0 1 0  6  6  0  6 2 0 6 3 | 0 0 0 2 3 0 3 0 0 2 | * * 3 *
.... .oxo .xoo3.oxo&#xt ♦ 0 3 6 1 | 0 0 3 12 3 6 6 | 0 0 0 1  0  6  6  6 0 2 3 6 | 0 0 0 0 0 3 3 2 2 0 | * * * 3
```
```or
o...3o... o...3o...     & | 2  * ♦  9  0  0  0 |  9  9 0 0  0  0 | 3  9 3  0 0 0 | 3 3
.o..3.o.. .o..3.o..     & | * 18 ♦  1  2  2  4 |  2  2 1 1  6  6 | 1  5 1  4 2 2 | 3 3
--------------------------+------+-------------+-----------------+---------------+----
oo..3oo.. oo..3oo..&#x  & | 1  1 | 18  *  *  * |  2  2 0 0  0  0 | 1  4 1  0 0 0 | 2 2
.x.. .... .... ....     & | 0  2 |  * 18  *  * |  1  0 1 0  2  0 | 1  2 0  2 1 0 | 2 2
.... .... .x.. ....     & | 0  2 |  *  * 18  * |  0  1 0 1  0  2 | 0  2 1  2 0 1 | 2 2
.oo.3.oo. .oo.3.oo.&#x    | 0  2 |  *  *  * 36 |  0  0 0 0  2  2 | 0  2 0  2 1 1 | 2 2
--------------------------+------+-------------+-----------------+---------------+----
ox.. .... .... ....&#x  & | 1  2 |  2  1  0  0 | 18  * * *  *  * | 1  2 0  0 0 0 | 2 1
.... .... ox.. ....&#x  & | 1  2 |  2  0  1  0 |  * 18 * *  *  * | 0  2 1  0 0 0 | 1 2
.x..3.o.. .... ....     & | 0  3 |  0  3  0  0 |  *  * 6 *  *  * | 1  0 0  2 0 0 | 2 1
.... .... .x..3.o..     & | 0  3 |  0  0  3  0 |  *  * * 6  *  * | 0  0 1  2 0 0 | 1 2
.xo. .... .... ....&#x  & | 0  3 |  0  1  0  2 |  *  * * * 36  * | 0  1 0  1 1 0 | 1 2
.... .ox. .... ....&#x  & | 0  3 |  0  0  1  2 |  *  * * *  * 36 | 0  1 0  1 0 1 | 2 1
--------------------------+------+-------------+-----------------+---------------+----
ox..3oo.. .... ....&#x  & ♦ 1  3 |  3  3  0  0 |  3  0 1 0  0  0 | 6  * *  * * * | 2 0
oxo. .... oxo. ....&#xt & ♦ 1  5 |  4  2  2  4 |  2  2 0 0  2  2 | * 18 *  * * * | 1 1
.... .... ox..3oo..&#x  & ♦ 1  3 |  3  0  3  0 |  0  3 0 1  0  0 | *  * 6  * * * | 0 2
.xo.3.ox. .... ....&#x  & ♦ 0  6 |  0  3  3  6 |  0  0 1 1  3  3 | *  * * 12 * * | 1 1
.xo. .... .... .ox.&#x    ♦ 0  4 |  0  2  0  4 |  0  0 0 0  4  0 | *  * *  * 9 * | 2 0
.... .ox. .xo. ....&#x    ♦ 0  4 |  0  0  2  4 |  0  0 0 0  0  4 | *  * *  * * 9 | 0 2
--------------------------+------+-------------+-----------------+---------------+----
oxo.3oox. oxo. ....&#xt & ♦ 1  9 |  6  6  6 12 |  6  3 2 1  6 12 | 2  3 0  2 3 0 | 6 *
oxo. .... oxo.3oox.&#xt & ♦ 1  9 |  6  6  6 12 |  3  6 1 2 12  6 | 0  3 2  2 0 3 | * 6
```
```or
o...3o... o...3o...       | 1 * * * ♦ 9  0  0  0 0 | 18 0  0  0 0  0 | 6 9  0  0 0 0 | 6 0
.o..3.o.. .o..3.o..       | * 9 * * ♦ 1  4  4  0 0 |  4 2  8  4 0  0 | 2 4  4  4 1 0 | 4 2
..o.3..o. ..o.3..o.       | * * 9 * ♦ 0  0  4  4 1 |  0 0  4  8 2  4 | 0 1  4  4 4 2 | 2 4
...o3...o ...o3...o       | * * * 1 ♦ 0  0  0  0 9 |  0 0  0  0 0 18 | 0 0  0  0 9 6 | 0 6
--------------------------+---------+--------------+-----------------+---------------+----
oo..3oo.. oo..3oo..&#x    | 1 1 0 0 | 9  *  *  * * |  4 0  0  0 0  0 | 2 4  0  0 0 0 | 4 0
.x.. .... .... ....     & | 0 2 0 0 | * 18  *  * * |  1 1  2  0 0  0 | 1 2  2  1 0 0 | 3 1
.oo.3.oo. .oo.3.oo.&#x    | 0 1 1 0 | *  * 36  * * |  0 0  2  2 0  0 | 0 1  2  2 1 0 | 2 2
.... ..x. .... ....     & | 0 0 2 0 | *  *  * 18 * |  0 0  0  2 1  1 | 0 0  2  1 2 1 | 1 3
..oo3..oo ..oo3..oo&#x    | 0 0 1 1 | *  *  *  * 9 |  0 0  0  0 0  4 | 0 0  0  0 4 2 | 0 4
--------------------------+---------+--------------+-----------------+---------------+----
ox.. .... .... ....&#x  & | 1 2 0 0 | 2  1  0  0 0 | 18 *  *  * *  * | 1 2  0  0 0 0 | 3 0
.x..3.o.. .... ....     & | 0 3 0 0 | 0  3  0  0 0 |  * 6  *  * *  * | 1 0  0  2 0 0 | 2 1
.xo. .... .... ....&#x  & | 0 2 1 0 | 0  1  2  0 0 |  * * 36  * *  * | 0 1  1  1 0 0 | 2 1
.... .ox. .... ....&#x  & | 0 1 2 0 | 0  0  2  1 0 |  * *  * 36 *  * | 0 0  1  1 1 0 | 1 2
..o.3..x. .... ...      & | 0 0 3 0 | 0  0  0  3 0 |  * *  *  * 6  * | 0 0  2  0 0 1 | 1 2
.... ..xo .... ....&#x  & | 0 0 2 1 | 0  0  0  1 2 |  * *  *  * * 18 | 0 0  0  0 2 1 | 0 3
--------------------------+---------+--------------+-----------------+---------------+----
ox..3oo.. .... ....&#x  & ♦ 1 3 0 0 | 3  3  0  0 0 |  3 1  0  0 0  0 | 6 *  *  * * * | 2 0
oxo. .... oxo. ....&#xt   ♦ 1 4 1 0 | 4  4  4  0 0 |  4 0  4  0 0  0 | * 9  *  * * * | 2 0
.xo.3.ox. .... ....&#x  & ♦ 0 3 3 0 | 0  3  6  3 0 |  0 1  3  3 1  0 | * * 12  * * * | 1 1
.xo. .... .... .ox.&#x  & ♦ 0 2 2 0 | 0  1  4  1 0 |  0 0  2  2 0  0 | * *  * 18 * * | 1 1
.... .oxo .... .oxo&#x    ♦ 0 1 4 1 | 0  0  4  4 4 |  0 0  0  4 0  4 | * *  *  * 9 * | 0 2
..oo3..xo .... ....&#x  & ♦ 0 0 3 1 | 0  0  0  3 3 |  0 0  0  0 1  3 | * *  *  * * 6 | 0 2
--------------------------+---------+--------------+-----------------+---------------+----
oxo.3oox. oxo. ....&#xt & ♦ 1 6 3 0 | 6  9 12  3 0 |  9 2 12  6 1  0 | 2 3  2  3 0 0 | 6 *
.xoo3.oxo .... .oxo&#xt & ♦ 0 3 6 1 | 0  3 12  9 6 |  0 1  6 12 2  9 | 0 0  2  3 3 2 | * 6
```
```or
o...3o... o...3o...     & | 2  * ♦  9  0  0 | 18  0  0 |  6  9  0  0 |  6
.o..3.o.. .o..3.o..     & | * 18 ♦  1  4  4 |  4  2 12 |  2  5  4  4 |  6
--------------------------+------+----------+----------+-------------+---
oo..3oo.. oo..3oo..&#x  & | 1  1 | 18  *  * |  4  0  0 |  2  4  0  0 |  4
.x.. .... .... ....     & | 0  2 |  * 36  * |  1  1  2 |  1  2  2  1 |  4
.oo.3.oo. .oo.3.oo.&#x  & | 0  2 |  *  * 36 |  0  0  4 |  0  2  2  2 |  4
--------------------------+------+----------+----------+-------------+---
ox.. .... .... ....&#x  & | 1  2 |  2  1  0 | 36  *  * |  1  2  0  0 |  3
.x..3.o.. .... ....     & | 0  3 |  0  3  0 |  * 12  * |  1  0  2  0 |  3
.xo. .... .... ....&#x  & | 0  3 |  0  1  2 |  *  * 72 |  0  1  1  1 |  3
--------------------------+------+----------+----------+-------------+---
ox..3oo.. .... ....&#x  & ♦ 1  3 |  3  3  0 |  3  1  0 | 12  *  *  * |  2
oxo. .... oxo. ....&#xt & ♦ 1  5 |  4  4  4 |  4  0  4 |  * 18  *  * |  2
.xo.3.ox. .... ....&#x  & ♦ 0  6 |  0  6  6 |  0  2  6 |  *  * 12  * |  2
.xo. .... .... .ox.&#x  & ♦ 0  4 |  0  2  4 |  0  0  4 |  *  *  * 18 |  2
--------------------------+------+----------+----------+-------------+---
oxo.3oox. oxo. ....&#xt & ♦ 1  9 |  6 12 12 |  9  3 18 |  2  3  2  3 | 12
```

```oxo xoo3oxo3oox&#xt   → both heights = sqrt(3/8) = 0.612372
(tet || pseudo ope || dual tet)

o.. o..3o..3o..     | 4  * * ♦ 3  6 0  0  0 0 | 3  3  6  6 0 0  0  0  0 0 | 1 3 6 2  3 0 0 0 0 0 | 2 3 1 0
.o. .o.3.o.3.o.     | * 12 * ♦ 0  2 1  4  2 0 | 0  2  1  4 2 2  2  4  1 0 | 0 1 2 2  4 1 1 2 2 0 | 1 2 2 1
..o ..o3..o3..o     | *  * 4 ♦ 0  0 0  0  6 3 | 0  0  0  0 0 0  3  6  6 3 | 0 0 0 0  3 0 3 2 6 1 | 0 1 3 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... x.. ... ...     | 2  0 0 | 6  * *  *  * * | 2  0  2  0 0 0  0  0  0 0 | 1 1 4 0  0 0 0 0 0 0 | 2 2 0 0
oo. oo.3oo.3oo.&#x  | 1  1 0 | * 24 *  *  * * | 0  1  1  2 0 0  0  0  0 0 | 0 1 2 1  2 0 0 0 0 0 | 1 2 1 0
.x. ... ... ...     | 0  2 0 | *  * 6  *  * * | 0  2  0  0 0 0  2  0  0 0 | 0 1 0 0  4 0 1 0 0 0 | 0 2 2 0
... ... .x. ...     | 0  2 0 | *  * * 24  * * | 0  0  0  1 1 1  0  1  0 0 | 0 0 1 1  1 1 0 1 1 0 | 1 1 1 1
.oo .oo3.oo3.oo&#x  | 0  1 1 | *  * *  * 24 * | 0  0  0  0 0 0  1  2  1 0 | 0 0 0 0  2 0 1 1 2 0 | 0 1 2 1
... ... ... ..x     | 0  0 2 | *  * *  *  * 6 | 0  0  0  0 0 0  0  0  2 2 | 0 0 0 0  0 0 1 0 4 1 | 0 0 2 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... x..3o.. ...     | 3  0 0 | 3  0 0  0  0 0 | 4  *  *  * * *  *  *  * * | 1 0 2 0  0 0 0 0 0 0 | 2 1 0 0
ox. ... ... ...&#x  | 1  2 0 | 0  2 1  0  0 0 | * 12  *  * * *  *  *  * * | 0 1 0 0  2 0 0 0 0 0 | 0 2 1 0
... xo. ... ...&#x  | 2  1 0 | 1  2 0  0  0 0 | *  * 12  * * *  *  *  * * | 0 1 2 0  0 0 0 0 0 0 | 1 2 0 0
... ... ox. ...&#x  | 1  2 0 | 0  2 0  1  0 0 | *  *  * 24 * *  *  *  * * | 0 0 1 1  1 0 0 0 0 0 | 1 1 1 0
... .o.3.x. ...     | 0  3 0 | 0  0 0  3  0 0 | *  *  *  * 8 *  *  *  * * | 0 0 1 0  0 1 0 1 0 0 | 1 1 0 1
... ... .x.3.o.     | 0  3 0 | 0  0 0  3  0 0 | *  *  *  * * 8  *  *  * * | 0 0 0 1  0 1 0 0 1 0 | 1 0 1 1
.xo ... ... ...&#x  | 0  2 1 | 0  0 1  0  2 0 | *  *  *  * * * 12  *  * * | 0 0 0 0  2 0 1 0 0 0 | 0 1 2 0
... ... .xo ...&#x  | 0  2 1 | 0  0 0  1  2 0 | *  *  *  * * *  * 24  * * | 0 0 0 0  1 0 0 1 1 0 | 0 1 1 1
... ... ... .ox&#x  | 0  1 2 | 0  0 0  0  2 1 | *  *  *  * * *  *  * 12 * | 0 0 0 0  0 0 1 0 2 0 | 0 0 2 1
... ... ..o3..x     | 0  0 3 | 0  0 0  0  0 3 | *  *  *  * * *  *  *  * 4 | 0 0 0 0  0 0 0 0 2 1 | 0 0 1 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... x..3o..3o..     ♦ 4  0 0 | 6  0 0  0  0 0 | 4  0  0  0 0 0  0  0  0 0 | 1 * * *  * * * * * * | 2 0 0 0
ox. xo. ... ...&#x  ♦ 2  2 0 | 1  4 1  0  0 0 | 0  2  2  0 0 0  0  0  0 0 | * 6 * *  * * * * * * | 0 2 0 0
... xo.3ox. ...&#x  ♦ 3  3 0 | 3  6 0  3  0 0 | 1  0  3  3 1 0  0  0  0 0 | * * 8 *  * * * * * * | 1 1 0 0
... ... ox.3oo.&#x  ♦ 1  3 0 | 0  3 0  3  0 0 | 0  0  0  3 0 1  0  0  0 0 | * * * 8  * * * * * * | 1 0 1 0
oxo ... oxo ...&#xt ♦ 1  4 1 | 0  4 2  2  4 0 | 0  2  0  2 0 0  2  2  0 0 | * * * * 12 * * * * * | 0 1 1 0
... .o.3.x.3.o.     ♦ 0  6 0 | 0  0 0 12  0 0 | 0  0  0  0 4 4  0  0  0 0 | * * * *  * 2 * * * * | 1 0 0 1
.xo ... ... .ox&#x  ♦ 0  2 2 | 0  0 1  0  4 1 | 0  0  0  0 0 0  2  0  2 0 | * * * *  * * 6 * * * | 0 0 2 0
... .oo3.xo ...&#x  ♦ 0  3 1 | 0  0 0  3  3 0 | 0  0  0  0 1 0  0  3  0 0 | * * * *  * * * 8 * * | 0 1 0 1
... ... .xo3.ox&#x  ♦ 0  3 3 | 0  0 0  3  6 3 | 0  0  0  0 0 1  0  3  3 1 | * * * *  * * * * 8 * | 0 0 1 1
... ..o3..o3..x     ♦ 0  0 4 | 0  0 0  0  0 6 | 0  0  0  0 0 0  0  0  0 4 | * * * *  * * * * * 1 | 0 0 0 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... xo.3ox.3oo.&#x  ♦ 4  6 0 | 6 12 0 12  0 0 | 4  0  6 12 4 4  0  0  0 0 | 1 0 4 4  0 1 0 0 0 0 | 2 * * *
oxo xoo3oxo ...&#xt ♦ 3  6 1 | 3 12 3  6  6 0 | 1  6  6  6 2 0  3  6  0 0 | 0 3 2 0  3 0 0 2 0 0 | * 4 * *
oxo ... oxo3oox&#xt ♦ 1  6 3 | 0  6 3  6 12 3 | 0  3  0  6 0 2  6  6  6 1 | 0 0 0 2  3 0 3 0 2 0 | * * 4 *
... .oo3.xo3.ox&#x  ♦ 0  6 4 | 0  0 0 12 12 6 | 0  0  0  0 4 4  0 12  6 4 | 0 0 0 0  0 1 0 4 4 1 | * * * 2
```
```or
o.. o..3o..3o..     & | 8  * ♦  3  6 0  0 | 3  3  6  6  0 | 1  3  6  2  3 0 | 2 4
.o. .o.3.o.3.o.       | * 12 ♦  0  4 1  4 | 0  4  2  8  4 | 0  2  4  4  4 1 | 2 4
----------------------+------+------------+---------------+-----------------+----
... x.. ... ...     & | 2  0 | 12  * *  * | 2  0  2  0  0 | 1  1  4  0  0 0 | 2 2
oo. oo.3oo.3oo.&#x  & | 1  1 |  * 48 *  * | 0  1  1  2  0 | 0  1  2  1  2 0 | 1 3
.x. ... ... ...       | 0  2 |  *  * 6  * | 0  4  0  0  0 | 0  2  0  0  4 0 | 0 4
... ... .x. ...       | 0  2 |  *  * * 24 | 0  0  0  2  2 | 0  0  2  2  1 1 | 2 2
----------------------+------+------------+---------------+-----------------+----
... x..3o.. ...     & | 3  0 |  3  0 0  0 | 8  *  *  *  * | 1  0  2  0  0 0 | 2 1
ox. ... ... ...&#x  & | 1  2 |  0  2 1  0 | * 24  *  *  * | 0  1  0  0  2 0 | 0 3
... xo. ... ...&#x  & | 2  1 |  1  2 0  0 | *  * 24  *  * | 0  1  2  0  0 0 | 1 2
... ... ox. ...&#x  & | 1  2 |  0  2 0  1 | *  *  * 48  * | 0  0  1  1  1 0 | 1 2
... .o.3.x. ...     & | 0  3 |  0  0 0  3 | *  *  *  * 16 | 0  0  1  1  0 1 | 2 1
----------------------+------+------------+---------------+-----------------+----
... x..3o..3o..     & ♦ 4  0 |  6  0 0  0 | 4  0  0  0  0 | 2  *  *  *  * * | 2 0
ox. xo. ... ...&#x  & ♦ 2  2 |  1  4 1  0 | 0  2  2  0  0 | * 12  *  *  * * | 0 2
... xo.3ox. ...&#x  & ♦ 3  3 |  3  6 0  3 | 1  0  3  3  1 | *  * 16  *  * * | 1 1
... ... ox.3oo.&#x  & ♦ 1  3 |  0  3 0  3 | 0  0  0  3  1 | *  *  * 16  * * | 1 1
oxo ... oxo ...&#xt   ♦ 2  4 |  0  8 2  2 | 0  4  0  4  0 | *  *  *  * 12 * | 0 2
... .o.3.x.3.o.       ♦ 0  6 |  0  0 0 12 | 0  0  0  0  8 | *  *  *  *  * 2 | 2 0
----------------------+------+------------+---------------+-----------------+----
... xo.3ox.3oo.&#x  & ♦ 4  6 |  6 12 0 12 | 4  0  6 12  8 | 1  0  4  4  0 1 | 4 *
oxo xoo3oxo ...&#xt & ♦ 4  6 |  3 18 3  6 | 1  9  6 12  2 | 0  3  2  2  3 0 | * 8
```

```oxoo3xoxo3ooox&#xr   → all heigths = sqrt(5/8) = 0.790569
(oct || pseudo q-laced (tet || dual tet) || oct)

o...3o...3o...     | 6 * * * ♦  4  2 1  2 0  0  0  0 0 | 2 2 1  4  4 1  2  2 0 0  0 0 0  0 0 0 | 1 2 2 2 2 1 1  4 0 0 0 0 0 0 0 | 1 1 2 2 0 0
.o..3.o..3.o..     | * 4 * * ♦  0  3 0  0 3  3  0  0 0 | 0 0 3  3  0 0  3  0 3 3  3 0 0  0 0 0 | 0 3 1 0 0 3 0  3 1 3 1 0 0 0 0 | 1 0 3 1 1 0
..o.3..o.3..o.     | * * 6 * ♦  0  0 1  0 0  2  4  2 0 | 0 0 0  0  0 0  2  2 0 1  4 2 2  4 1 0 | 0 0 0 0 0 1 1  4 0 2 2 1 2 2 0 | 0 0 2 2 1 1
...o3...o3...o     | * * * 4 ♦  0  0 0  3 0  0  0  3 3 | 0 0 0  0  3 3  0  3 0 0  0 0 0  3 3 3 | 0 0 0 1 3 0 3  3 0 0 0 0 1 3 1 | 0 1 1 3 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
.... x... ....     | 2 0 0 0 | 12  * *  * *  *  *  * * | 1 1 0  1  1 0  0  0 0 0  0 0 0  0 0 0 | 1 1 1 1 1 0 0  1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
oo..3oo..3oo..&#x  | 1 1 0 0 |  * 12 *  * *  *  *  * * | 0 0 1  2  0 0  1  0 0 0  0 0 0  0 0 0 | 0 2 1 0 0 1 0  2 0 0 0 0 0 0 0 | 1 0 2 1 0 0
o.o.3o.o.3o.o.&#x  | 1 0 1 0 |  *  * 6  * *  *  *  * * | 0 0 0  0  0 0  2  2 0 0  0 0 0  0 0 0 | 0 0 0 0 0 1 1  4 0 0 0 0 0 0 0 | 0 0 2 2 0 0
o..o3o..o3o..o&#x  | 1 0 0 1 |  *  * * 12 *  *  *  * * | 0 0 0  0  2 1  0  1 0 0  0 0 0  0 0 0 | 0 0 0 1 2 0 1  2 0 0 0 0 0 0 0 | 0 1 1 2 0 0
.x.. .... ....     | 0 2 0 0 |  *  * *  * 6  *  *  * * | 0 0 1  0  0 0  0  0 2 1  0 0 0  0 0 0 | 0 2 0 0 0 1 0  0 1 2 0 0 0 0 0 | 1 0 2 0 1 0
.oo.3.oo.3.oo.&#x  | 0 1 1 0 |  *  * *  * * 12  *  * * | 0 0 0  0  0 0  1  0 0 1  2 0 0  0 0 0 | 0 0 0 0 0 1 0  2 0 2 1 0 0 0 0 | 0 0 2 1 1 0
.... ..x. ....     | 0 0 2 0 |  *  * *  * *  * 12  * * | 0 0 0  0  0 0  0  0 0 0  1 1 1  1 0 0 | 0 0 0 0 0 0 0  1 0 1 1 1 1 1 0 | 0 0 1 1 1 1
..oo3..oo3..oo&#x  | 0 0 1 1 |  *  * *  * *  *  * 12 * | 0 0 0  0  0 0  0  1 0 0  0 0 0  2 1 0 | 0 0 0 0 0 0 1  2 0 0 0 0 1 2 0 | 0 0 1 2 0 1
.... .... ...x     | 0 0 0 2 |  *  * *  * *  *  *  * 6 | 0 0 0  0  0 0  0  0 0 0  0 0 0  0 1 2 | 0 0 0 0 2 0 1  0 0 0 0 0 0 2 1 | 0 1 0 2 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
o...3x... ....     | 3 0 0 0 |  3  0 0  0 0  0  0  0 0 | 4 * *  *  * *  *  * * *  * * *  * * * | 1 1 0 1 0 0 0  0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.... x...3o...     | 3 0 0 0 |  3  0 0  0 0  0  0  0 0 | * 4 *  *  * *  *  * * *  * * *  * * * | 1 0 1 0 1 0 0  0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
ox.. .... ....&#x  | 1 2 0 0 |  0  2 0  0 1  0  0  0 0 | * * 6  *  * *  *  * * *  * * *  * * * | 0 2 0 0 0 1 0  0 0 0 0 0 0 0 0 | 1 0 2 0 0 0
.... xo.. ....&#x  | 2 1 0 0 |  1  2 0  0 0  0  0  0 0 | * * * 12  * *  *  * * *  * * *  * * * | 0 1 1 0 0 0 0  1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.... x..o ....&#x  | 2 0 0 1 |  1  0 0  2 0  0  0  0 0 | * * *  * 12 *  *  * * *  * * *  * * * | 0 0 0 1 1 0 0  1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.... .... o..x&#x  | 1 0 0 2 |  0  0 0  2 0  0  0  0 0 | * * *  *  * 6  *  * * *  * * *  * * * | 0 0 0 0 2 0 1  0 0 0 0 0 0 0 0 | 0 1 0 2 0 0
ooo.3ooo.3ooo.&#x  | 1 1 1 0 |  0  1 1  0 0  1  0  0 0 | * * *  *  * * 12  * * *  * * *  * * * | 0 0 0 0 0 1 0  2 0 0 0 0 0 0 0 | 0 0 2 1 0 0
o.oo3o.oo3o.oo&#x  | 1 0 1 1 |  0  0 1  1 0  0  0  1 0 | * * *  *  * *  * 12 * *  * * *  * * * | 0 0 0 0 0 0 1  2 0 0 0 0 0 0 0 | 0 0 1 2 0 0
.x..3.o.. ....     | 0 3 0 0 |  0  0 0  0 3  0  0  0 0 | * * *  *  * *  *  * 4 *  * * *  * * * | 0 1 0 0 0 0 0  0 1 1 0 0 0 0 0 | 1 0 1 0 1 0
.xo. .... ....&#x  | 0 2 1 0 |  0  0 0  0 1  2  0  0 0 | * * *  *  * *  *  * * 6  * * *  * * * | 0 0 0 0 0 1 0  0 0 2 0 0 0 0 0 | 0 0 2 0 1 0
.... .ox. ....&#x  | 0 1 2 0 |  0  0 0  0 0  2  1  0 0 | * * *  *  * *  *  * * * 12 * *  * * * | 0 0 0 0 0 0 0  1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
..o.3..x. ....     | 0 0 3 0 |  0  0 0  0 0  0  3  0 0 | * * *  *  * *  *  * * *  * 4 *  * * * | 0 0 0 0 0 0 0  0 0 1 0 1 1 0 0 | 0 0 1 0 1 1
.... ..x.3..o.     | 0 0 3 0 |  0  0 0  0 0  0  3  0 0 | * * *  *  * *  *  * * *  * * 4  * * * | 0 0 0 0 0 0 0  0 0 0 1 1 0 1 0 | 0 0 0 1 1 1
.... ..xo ....&#x  | 0 0 2 1 |  0  0 0  0 0  0  1  2 0 | * * *  *  * *  *  * * *  * * * 12 * * | 0 0 0 0 0 0 0  1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.... .... ..ox&#x  | 0 0 1 2 |  0  0 0  0 0  0  0  2 1 | * * *  *  * *  *  * * *  * * *  * 6 * | 0 0 0 0 0 0 1  0 0 0 0 0 0 2 0 | 0 0 0 2 0 1
.... ...o3...x     | 0 0 0 3 |  0  0 0  0 0  0  0  0 3 | * * *  *  * *  *  * * *  * * *  * * 4 | 0 0 0 0 1 0 0  0 0 0 0 0 0 1 1 | 0 1 0 1 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
o...3x...3o...     ♦ 6 0 0 0 | 12  0 0  0 0  0  0  0 0 | 4 4 0  0  0 0  0  0 0 0  0 0 0  0 0 0 | 1 * * * * * *  * * * * * * * * | 1 1 0 0 0 0
ox..3xo.. ....&#x  ♦ 3 3 0 0 |  3  6 0  0 3  0  0  0 0 | 1 0 3  3  0 0  0  0 1 0  0 0 0  0 0 0 | * 4 * * * * *  * * * * * * * * | 1 0 1 0 0 0
.... xo..3oo..&#x  ♦ 3 1 0 0 |  3  3 0  0 0  0  0  0 0 | 0 1 0  3  0 0  0  0 0 0  0 0 0  0 0 0 | * * 4 * * * *  * * * * * * * * | 1 0 0 1 0 0
o..o3x..o ....&#x  ♦ 3 0 0 1 |  3  0 0  3 0  0  0  0 0 | 1 0 0  0  3 0  0  0 0 0  0 0 0  0 0 0 | * * * 4 * * *  * * * * * * * * | 0 1 1 0 0 0
.... x..o3o..x&#x  ♦ 3 0 0 3 |  3  0 0  6 0  0  0  0 3 | 0 1 0  0  3 3  0  0 0 0  0 0 0  0 0 1 | * * * * 4 * *  * * * * * * * * | 0 1 0 1 0 0
oxo. .... ....&#x  ♦ 1 2 1 0 |  0  2 1  0 1  2  0  0 0 | 0 0 1  0  0 0  2  0 0 1  0 0 0  0 0 0 | * * * * * 6 *  * * * * * * * * | 0 0 2 0 0 0
.... .... o.ox&#x  ♦ 1 0 1 2 |  0  0 1  2 0  0  0  2 1 | 0 0 0  0  0 1  0  2 0 0  0 0 0  0 1 0 | * * * * * * 6  * * * * * * * * | 0 0 0 2 0 0
.... xoxo ....&#xr ♦ 2 1 2 1 |  1  2 2  2 0  2  1  2 0 | 0 0 0  1  1 0  2  2 0 0  1 0 0  1 0 0 | * * * * * * * 12 * * * * * * * | 0 0 1 1 0 0
.x..3.o..3.o..     ♦ 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 | * * * * * * *  * 1 * * * * * * | 1 0 0 0 1 0
.xo.3.ox. ....&#x  ♦ 0 3 3 0 |  0  0 0  0 3  6  3  0 0 | 0 0 0  0  0 0  0  0 1 3  3 1 0  0 0 0 | * * * * * * *  * * 4 * * * * * | 0 0 1 0 1 0
.... .ox.3.oo.&#x  ♦ 0 1 3 0 |  0  0 0  0 0  3  3  0 0 | 0 0 0  0  0 0  0  0 0 0  3 0 1  0 0 0 | * * * * * * *  * * * 4 * * * * | 0 0 0 1 1 0
..o.3..x.3..o.     ♦ 0 0 6 0 |  0  0 0  0 0  0 12  0 0 | 0 0 0  0  0 0  0  0 0 0  0 4 4  0 0 0 | * * * * * * *  * * * * 1 * * * | 0 0 0 0 1 1
..oo3..xo ....&#x  ♦ 0 0 3 1 |  0  0 0  0 0  0  3  3 0 | 0 0 0  0  0 0  0  0 0 0  0 1 0  3 0 0 | * * * * * * *  * * * * * 4 * * | 0 0 1 0 0 1
.... ..xo3..ox&#x  ♦ 0 0 3 3 |  0  0 0  0 0  0  3  6 3 | 0 0 0  0  0 0  0  0 0 0  0 0 1  3 3 1 | * * * * * * *  * * * * * * 4 * | 0 0 0 1 0 1
...o3...o3...x     ♦ 0 0 0 4 |  0  0 0  0 0  0  0  0 6 | 0 0 0  0  0 0  0  0 0 0  0 0 0  0 0 4 | * * * * * * *  * * * * * * * 1 | 0 1 0 0 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
ox..3xo..3oo..&#x  ♦ 6 4 0 0 | 12 12 0  0 6  0  0  0 0 | 4 4 6 12  0 0  0  0 4 0  0 0 0  0 0 0 | 1 4 4 0 0 0 0  0 1 0 0 0 0 0 0 | 1 * * * * *
o..o3x..o3o..x&#x  ♦ 6 0 0 4 | 12  0 0 12 0  0  0  0 6 | 4 4 0  0 12 6  0  0 0 0  0 0 0  0 0 4 | 1 0 0 4 4 0 0  0 0 0 0 0 0 0 1 | * 1 * * * *
oxoo3xoxo ....&#xr ♦ 3 3 3 1 |  3  6 3  3 3  6  3  3 0 | 1 0 3  3  3 0  6  3 1 3  3 1 0  3 0 0 | 0 1 0 1 0 3 0  3 0 1 0 0 1 0 0 | * * 4 * * *
.... xoxo3ooox&#xr ♦ 3 1 3 3 |  3  3 3  6 0  3  3  6 3 | 0 1 0  3  3 3  3  6 0 0  3 0 1  3 3 1 | 0 0 1 0 1 0 3  3 0 0 1 0 0 1 0 | * * * 4 * *
.xo.3.ox.3.oo.&#x  ♦ 0 4 6 0 |  0  0 0  0 6 12 12  0 0 | 0 0 0  0  0 0  0  0 4 6 12 4 4  0 0 0 | 0 0 0 0 0 0 0  0 1 4 4 1 0 0 0 | * * * * 1 *
..oo3..xo3..ox&#x  ♦ 0 0 6 4 |  0  0 0  0 0  0 12 12 6 | 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 1 4 4 1 | * * * * * 1
```
```or
o...3o...3o...      & | 12 * ♦  4  4 1  0 | 2 2  2  8  4 0 | 1  4  4  2  4 0 | 2 4
.o..3.o..3.o..      & |  * 8 ♦  0  6 0  3 | 0 0  6  6  3 3 | 0  6  2  3  3 1 | 2 4
----------------------+------+------------+----------------+-----------------+----
.... x... ....      & |  2 0 | 24  * *  * | 1 1  0  2  0 0 | 1  2  2  0  1 0 | 2 2
oo..3oo..3oo..&#x   & |  1 1 |  * 48 *  * | 0 0  1  2  1 0 | 0  2  1  1  2 0 | 1 3
o.o.3o.o.3o.o.&#x     |  2 0 |  *  * 6  * | 0 0  0  0  4 0 | 0  0  0  2  4 0 | 0 4
.x.. .... ....      & |  0 2 |  *  * * 12 | 0 0  2  0  0 2 | 0  4  0  1  0 1 | 2 2
----------------------+------+------------+----------------+-----------------+----
o...3x... ....      & |  3 0 |  3  0 0  0 | 8 *  *  *  * * | 1  2  0  0  0 0 | 2 1
.... x...3o...      & |  3 0 |  3  0 0  0 | * 8  *  *  * * | 1  0  2  0  0 0 | 2 1
ox.. .... ....&#x   & |  1 2 |  0  2 0  1 | * * 24  *  * * | 0  2  0  1  0 0 | 1 2
.... xo.. ....&#x   & |  2 1 |  1  2 0  0 | * *  * 48  * * | 0  1  1  0  1 0 | 1 2
ooo.3ooo.3ooo.&#x   & |  2 1 |  0  2 1  0 | * *  *  * 24 * | 0  0  0  1  2 0 | 0 3
.x..3.o.. ....      & |  0 3 |  0  0 0  3 | * *  *  *  * 8 | 0  2  0  0  0 1 | 2 1
----------------------+------+------------+----------------+-----------------+----
o...3x...3o...      & ♦  6 0 | 12  0 0  0 | 4 4  0  0  0 0 | 2  *  *  *  * * | 2 0
ox..3xo.. ....&#x   & ♦  3 3 |  3  6 0  3 | 1 0  3  3  0 1 | * 16  *  *  * * | 1 1
.... xo..3oo..&#x   & ♦  3 1 |  3  3 0  0 | 0 1  0  3  0 0 | *  * 16  *  * * | 1 1
oxo. .... ....&#x   & ♦  2 2 |  0  4 1  1 | 0 0  2  0  2 0 | *  *  * 12  * * | 0 2
.... xoxo ....&#xr    ♦  4 2 |  2  8 2  0 | 0 0  0  4  4 0 | *  *  *  * 12 * | 0 2
.x..3.o..3.o..      & ♦  0 4 |  0  0 0  6 | 0 0  0  0  0 4 | *  *  *  *  * 2 | 2 0
----------------------+------+------------+----------------+-----------------+----
ox..3xo..3oo..&#x   & ♦  6 4 | 12 12 0  6 | 4 4  6 12  0 4 | 1  4  4  0  0 1 | 4 *
oxoo3xoxo ....&#xr  & ♦  6 4 |  6 18 3  3 | 1 1  6 12  9 1 | 0  2  2  3  3 0 | * 8
```

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