Acronym trippasc
Name triangular-prismatic scalene,
triangular-prismatic-pyramid pyramid,
line atop fully orthogonal triangular-prism
|,>,O device line pyramid prism pyramid pyramid = |>|>>
Lace city
in approx. ASCII-art
```o o3o         o o3o

x x3o
```
```       x o3o

o x3o         o x3o
```
Lace hyper city
in approx. ASCII-art
 ``` o o o o ``` ``` x o o x o x ```
Confer
uniform relative:
hin
related segmentotera:
rappy
general polytopal classes:
segmentotera   lace simplices   scalene

As trippy itself is a monostratic segment of rap (when considered as pt || trip || dual {3}), it becomes obvious that this polyteron is a segment of rappy. And rappy in turn is a monostratic segment of hin (when considered as pt || rap || dual pen).

Incidence matrix according to Dynkin symbol

```xo ox ox3oo&#x   → height = 1/sqrt(6) = 0.408248
(line || perp trip)

o. o. o.3o.    | 2 * ♦ 1  6 0 0 | 6 3  6 0 0 | 3 6 3 2 0 | 3 2 1
.o .o .o3.o    | * 6 | 0  2 1 2 | 1 2  4 2 1 | 1 2 4 2 1 | 2 1 2
---------------+-----+----------+------------+-----------+------
x. .. .. ..    | 2 0 | 1  * * * ♦ 6 0  0 0 0 | 3 6 0 0 0 | 3 2 0
oo oo oo3oo&#x | 1 1 | * 12 * * | 1 1  2 0 0 | 1 2 2 1 0 | 2 1 1
.. .x .. ..    | 0 2 | *  * 3 * | 0 2  0 2 0 | 1 0 4 0 1 | 2 0 2
.. .. .x ..    | 0 2 | *  * * 6 | 0 0  2 1 1 | 0 1 2 2 1 | 1 1 2
---------------+-----+----------+------------+-----------+------
xo .. .. ..&#x | 2 1 | 1  2 0 0 | 6 *  * * * | 1 2 0 0 0 | 2 1 0
.. ox .. ..&#x | 1 2 | 0  2 1 0 | * 6  * * * | 1 0 2 0 0 | 2 0 1
.. .. ox ..&#x | 1 2 | 0  2 0 1 | * * 12 * * | 0 1 1 1 0 | 1 1 1
.. .x .x ..    | 0 4 | 0  0 2 2 | * *  * 3 * | 0 0 2 0 1 | 1 0 2
.. .. .x3.o    | 0 3 | 0  0 0 3 | * *  * * 2 | 0 0 0 2 1 | 0 1 2
---------------+-----+----------+------------+-----------+------
xo ox .. ..&#x ♦ 2 2 | 1  4 1 0 | 2 2  0 0 0 | 3 * * * * | 2 0 0
xo .. ox ..&#x ♦ 2 2 | 1  4 0 1 | 2 0  2 0 0 | * 6 * * * | 1 1 0
.. ox ox ..&#x ♦ 1 4 | 0  4 2 2 | 0 2  2 1 0 | * * 6 * * | 1 0 1
.. .. ox3oo&#x ♦ 1 3 | 0  3 0 3 | 0 0  3 0 1 | * * * 4 * | 0 1 1
.. .x .x3.o    ♦ 0 6 | 0  0 3 6 | 0 0  0 3 2 | * * * * 1 | 0 0 2
---------------+-----+----------+------------+-----------+------
xo ox ox ..&#x ♦ 2 4 | 1  8 2 2 | 4 4  4 1 0 | 2 2 2 0 0 | 3 * *
xo .. ox3oo&#x ♦ 2 3 | 1  6 0 3 | 3 0  6 0 1 | 0 3 0 2 0 | * 2 *
.. ox ox3oo&#x ♦ 1 6 | 0  6 3 6 | 0 3  6 3 2 | 0 0 3 2 1 | * * 2
```

```xoo oox oxx&#x   → height(1,2) = 1/sqrt(2) = 0.707107
height(1,3) = 1/2
height(2,3) = sqrt(3)/2 = 0.866025

o.. o.. o..    | 2 * * ♦ 1 2 4 0 0 0 0 | 2 1 4 2 2 4 0 0 0 | 1 2 2 1 4 2 2 0 | 1 2 2 1
.o. .o. .o.    | * 2 * | 0 2 0 1 2 0 0 | 1 2 0 0 0 4 1 2 0 | 1 0 0 0 2 2 4 1 | 0 1 2 2
..o ..o ..o    | * * 4 | 0 0 2 0 1 1 1 | 0 0 1 2 2 2 1 1 1 | 0 1 1 2 1 2 2 1 | 1 1 1 2
---------------+-------+---------------+-------------------+-----------------+--------
x.. ... ...    | 2 0 0 | 1 * * * * * * ♦ 2 0 4 0 0 0 0 0 0 | 1 2 2 0 4 0 0 0 | 1 2 2 0
oo. oo. oo.&#x | 1 1 0 | * 4 * * * * * | 1 1 0 0 0 2 0 0 0 | 1 0 0 0 2 1 2 0 | 0 1 2 1
o.o o.o o.o&#x | 1 0 1 | * * 8 * * * * | 0 0 1 1 1 1 0 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1
... ... .x.    | 0 2 0 | * * * 1 * * * | 0 2 0 0 0 0 0 2 0 | 1 0 0 0 0 0 4 1 | 0 0 2 2
.oo .oo .oo&#x | 0 1 1 | * * * * 4 * * | 0 0 0 0 0 2 1 1 0 | 0 0 0 0 1 2 2 1 | 0 1 1 2
... ..x ...    | 0 0 2 | * * * * * 2 * | 0 0 0 2 0 0 1 0 1 | 0 1 0 2 0 2 0 1 | 1 1 0 2
... ... ..x    | 0 0 2 | * * * * * * 2 | 0 0 0 0 2 0 0 1 1 | 0 0 1 2 0 0 2 1 | 1 0 1 2
---------------+-------+---------------+-------------------+-----------------+--------
xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 0 | 2 * * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 0 | * 2 * * * * * * * | 1 0 0 0 0 0 2 0 | 0 0 2 1
x.o ... ...&#x | 2 0 1 | 1 0 2 0 0 0 0 | * * 4 * * * * * * | 0 1 1 0 1 0 0 0 | 1 1 1 0
... o.x ...&#x | 1 0 2 | 0 0 2 0 0 1 0 | * * * 4 * * * * * | 0 1 0 1 0 1 0 0 | 1 1 0 1
... ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 1 | * * * * 4 * * * * | 0 0 1 1 0 0 1 0 | 1 0 1 1
ooo ooo ooo&#x | 1 1 1 | 0 1 1 0 1 0 0 | * * * * * 8 * * * | 0 0 0 0 1 1 1 0 | 0 1 1 1
... .ox ...&#x | 0 1 2 | 0 0 0 0 2 1 0 | * * * * * * 2 * * | 0 0 0 0 0 2 0 1 | 0 1 0 2
... ... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * 2 * | 0 0 0 0 0 0 2 1 | 0 0 1 2
... ..x ..x    | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * 1 | 0 0 0 2 0 0 0 1 | 1 0 0 2
---------------+-------+---------------+-------------------+-----------------+--------
xo. ... ox.&#x ♦ 2 2 0 | 1 4 0 1 0 0 0 | 2 2 0 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
x.o o.x ...&#x ♦ 2 0 2 | 1 0 4 0 0 1 0 | 0 0 2 2 0 0 0 0 0 | * 2 * * * * * * | 1 1 0 0
x.o ... o.x&#x ♦ 2 0 2 | 1 0 4 0 0 0 1 | 0 0 2 0 2 0 0 0 0 | * * 2 * * * * * | 1 0 1 0
... o.x o.x&#x ♦ 1 0 4 | 0 0 4 0 0 2 2 | 0 0 0 2 2 0 0 0 1 | * * * 2 * * * * | 1 0 0 1
xoo ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 0 | 1 0 1 0 0 2 0 0 0 | * * * * 4 * * * | 0 1 1 0
... oox ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 0 | 0 0 0 1 0 2 1 0 0 | * * * * * 4 * * | 0 1 0 1
... ... oxx&#x ♦ 1 2 2 | 0 2 2 1 2 0 1 | 0 1 0 0 1 2 0 1 0 | * * * * * * 4 * | 0 0 1 1
... .ox .xx&#x ♦ 0 2 4 | 0 0 0 1 4 2 2 | 0 0 0 0 0 0 2 2 1 | * * * * * * * 1 | 0 0 0 2
---------------+-------+---------------+-------------------+-----------------+--------
x.o o.x o.x&#x ♦ 2 0 4 | 1 0 8 0 0 2 2 | 0 0 4 4 4 0 0 0 1 | 0 2 2 2 0 0 0 0 | 1 * * *
xoo oox ...&#x ♦ 2 1 2 | 1 2 4 0 2 1 0 | 1 0 2 2 0 4 1 0 0 | 0 1 0 0 2 2 0 0 | * 2 * *
xoo ... oxx&#x ♦ 2 2 2 | 1 4 4 1 2 0 1 | 2 2 2 0 2 4 0 1 0 | 1 0 1 0 2 0 2 0 | * * 2 *
... oox oxx&#x ♦ 1 2 4 | 0 2 4 1 4 2 2 | 0 1 0 2 2 4 2 2 1 | 0 0 0 1 0 2 2 1 | * * * 2
```

```oox ooo3oox&#x   → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(5/12) = 0.645497
height(1,23) = sqrt(3/5) = 0.774597
(pt || trippy)

o.. o..3o..    | 1 * * ♦ 1 6 0 0 0 | 6 3 6 0 0 0 0 | 3 6 3 2 0 0 0 | 3 2 1 0
.o. .o.3.o.    | * 1 * ♦ 1 0 6 0 0 | 6 0 0 3 6 0 0 | 3 6 0 0 3 2 0 | 3 2 0 1
..o ..o3..o    | * * 6 | 0 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
---------------+-------+-----------+---------------+---------------+--------
oo. oo.3oo.&#x | 1 1 0 | 1 * * * * ♦ 6 0 0 0 0 0 0 | 3 6 0 0 0 0 0 | 3 2 0 0
o.o o.o3o.o&#x | 1 0 1 | * 6 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.oo .oo3.oo&#x | 0 1 1 | * * 6 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
..x ... ...    | 0 0 2 | * * * 3 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
... ... ..x    | 0 0 2 | * * * * 6 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
---------------+-------+-----------+---------------+---------------+--------
ooo ooo3ooo&#x | 1 1 1 | 1 1 1 0 0 | 6 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
o.x ... ...&#x | 1 0 2 | 0 2 0 1 0 | * 3 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
... ... o.x&#x | 1 0 2 | 0 2 0 0 1 | * * 6 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.ox ... ...&#x | 0 1 2 | 0 0 2 1 0 | * * * 3 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
... ... .ox&#x | 0 1 2 | 0 0 2 0 1 | * * * * 6 * * | 0 1 0 0 1 1 0 | 1 1 0 1
..x ... ..x    | 0 0 4 | 0 0 0 2 2 | * * * * * 3 * | 0 0 1 0 1 0 1 | 1 0 1 1
... ..o3..x    | 0 0 3 | 0 0 0 0 3 | * * * * * * 2 | 0 0 0 1 0 1 1 | 0 1 1 1
---------------+-------+-----------+---------------+---------------+--------
oox ... ...&#x ♦ 1 1 2 | 1 2 2 1 0 | 2 1 0 1 0 0 0 | 3 * * * * * * | 2 0 0 0
... ... oox&#x ♦ 1 1 2 | 1 2 2 0 1 | 2 0 1 0 1 0 0 | * 6 * * * * * | 1 1 0 0
o.x ... o.x&#x ♦ 1 0 4 | 0 4 0 2 2 | 0 2 2 0 0 1 0 | * * 3 * * * * | 1 0 1 0
... o.o3o.x&#x ♦ 1 0 3 | 0 3 0 0 3 | 0 0 3 0 0 0 1 | * * * 2 * * * | 0 1 1 0
.ox ... .ox&#x ♦ 0 1 4 | 0 0 4 2 2 | 0 0 0 2 2 1 0 | * * * * 3 * * | 1 0 0 1
... .oo3.ox&#x ♦ 0 1 3 | 0 0 3 0 3 | 0 0 0 0 3 0 1 | * * * * * 2 * | 0 1 0 1
..x ..o3..x    ♦ 0 0 6 | 0 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * 1 | 0 0 1 1
---------------+-------+-----------+---------------+---------------+--------
oox ... oox&#x ♦ 1 1 4 | 1 4 4 2 2 | 4 2 2 2 2 1 0 | 2 2 1 0 1 0 0 | 3 * * *
... ooo3oox&#x ♦ 1 1 3 | 1 3 3 0 3 | 3 0 3 0 3 0 1 | 0 3 0 1 0 1 0 | * 2 * *
o.x o.o3o.x&#x ♦ 1 0 6 | 0 6 0 3 6 | 0 3 6 0 0 3 2 | 0 0 3 2 0 0 1 | * * 1 *
.ox .oo3.ox&#x ♦ 0 1 6 | 0 0 6 3 6 | 0 0 0 3 6 3 2 | 0 0 0 0 3 2 1 | * * * 1
```

```oox ooo3xxo&#x   → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(5/12) = 0.645497

o.. o..3o..    | 3 * * | 2 1 2 0 0 0 | 1 2 1 4 2 0 0 0 | 1 2 2 1 4 0 0 | 1 2 2 0
.o. .o.3.o.    | * 3 * | 0 1 0 2 2 0 | 0 2 0 0 2 1 1 4 | 1 0 0 1 4 2 2 | 0 2 2 1
..o ..o3..o    | * * 2 ♦ 0 0 3 0 3 1 | 0 0 3 3 3 0 3 3 | 0 3 1 3 3 3 1 | 1 3 1 1
---------------+-------+-------------+-----------------+---------------+--------
... ... x..    | 2 0 0 | 3 * * * * * | 1 1 0 2 0 0 0 0 | 1 1 2 0 2 0 0 | 1 1 2 0
oo. oo.3oo.&#x | 1 1 0 | * 3 * * * * | 0 2 0 0 2 0 0 0 | 1 0 0 1 4 0 0 | 0 2 2 0
o.o o.o3o.o&#x | 1 0 1 | * * 6 * * * | 0 0 1 2 1 0 0 0 | 0 2 1 1 2 0 0 | 1 2 1 0
... ... .x.    | 0 2 0 | * * * 3 * * | 0 1 0 0 0 1 0 2 | 1 0 0 0 2 1 2 | 0 1 2 1
.oo .oo3.oo&#x | 0 1 1 | * * * * 6 * | 0 0 0 0 1 0 1 2 | 0 0 0 1 2 2 1 | 0 2 1 1
..x ... ...    | 0 0 2 | * * * * * 1 ♦ 0 0 3 0 0 0 3 0 | 0 3 0 3 0 3 0 | 1 3 0 1
---------------+-------+-------------+-----------------+---------------+--------
... o..3x..    | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * * | 1 0 2 0 0 0 0 | 1 0 2 0
... ... xx.&#x | 2 2 0 | 1 2 0 1 0 0 | * 3 * * * * * * | 1 0 0 0 2 0 0 | 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 1 | * * 3 * * * * * | 0 2 0 1 0 0 0 | 1 2 0 0
... ... x.o&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 6 * * * * | 0 1 1 0 1 0 0 | 1 1 1 0
ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * 6 * * * | 0 0 0 1 2 0 0 | 0 2 1 0
... .o.3.x.    | 0 3 0 | 0 0 0 3 0 0 | * * * * * 1 * * | 1 0 0 0 0 0 2 | 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * 3 * | 0 0 0 1 0 2 0 | 0 2 0 1
... ... .xo&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * 6 | 0 0 0 0 1 1 1 | 0 1 1 1
---------------+-------+-------------+-----------------+---------------+--------
... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 3 0 0 | 1 3 0 0 0 1 0 0 | 1 * * * * * * | 0 0 2 0
o.x ... x.o&#x ♦ 2 0 2 | 1 0 4 0 0 1 | 0 0 2 2 0 0 0 0 | * 3 * * * * * | 1 1 0 0
... o.o3x.o&#x ♦ 3 0 1 | 3 0 3 0 0 0 | 1 0 0 3 0 0 0 0 | * * 2 * * * * | 1 0 1 0
oox ... ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 1 0 2 0 1 0 | * * * 3 * * * | 0 2 0 0
... ... xxo&#x ♦ 2 2 1 | 1 2 2 1 2 0 | 0 1 0 1 2 0 0 1 | * * * * 6 * * | 0 1 1 0
.ox ... .xo&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 2 2 | * * * * * 3 * | 0 1 0 1
... .oo3.xo&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 1 0 3 | * * * * * * 2 | 0 0 1 1
---------------+-------+-------------+-----------------+---------------+--------
o.x o.o3x.o&#x ♦ 3 0 2 | 3 0 6 0 0 1 | 1 0 3 6 0 0 0 0 | 0 3 2 0 0 0 0 | 1 * * *
oox ... xxo&#x ♦ 2 2 2 | 1 2 4 1 4 1 | 0 1 2 2 4 0 2 2 | 0 1 0 2 2 1 0 | * 3 * *
... ooo3xxo&#x ♦ 3 3 1 | 3 3 3 3 3 0 | 1 3 0 3 3 1 0 3 | 1 0 1 0 3 0 1 | * * 2 *
.ox .oo3.xo&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 0 1 3 6 | 0 0 0 0 0 3 2 | * * * 1
```

```oooo3ooxx&#x   → height(1,2) = height(3,4) = 1
height(1,3) = height(1,4) = height(2,3) = height(2,4) = sqrt(2/3) = 0.816497

o...3o...    | 1 * * * ♦ 1 3 3 0 0 0 0 0 | 3 3 3 3 3 0 0 0 0 0 0 | 3 3 3 1 3 1 0 0 0 0 | 1 3 1 1 0
.o..3.o..    | * 1 * * ♦ 1 0 0 3 3 0 0 0 | 3 3 0 0 0 3 3 3 0 0 0 | 3 3 3 0 0 0 1 3 1 0 | 1 3 1 0 1
..o.3..o.    | * * 3 * | 0 1 0 1 0 2 1 0 | 1 0 2 1 0 2 1 0 1 2 0 | 2 1 0 1 2 0 1 2 0 1 | 1 2 0 1 1
...o3...o    | * * * 3 | 0 0 1 0 1 0 1 2 | 0 1 0 1 2 0 1 2 0 2 1 | 0 1 2 0 2 1 0 2 1 1 | 0 2 1 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
oo..3oo..&#x | 1 1 0 0 | 1 * * * * * * * ♦ 3 3 0 0 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 | 1 3 1 0 0
o.o.3o.o.&#x | 1 0 1 0 | * 3 * * * * * * | 1 0 2 1 0 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 0 1 0
o..o3o..o&#x | 1 0 0 1 | * * 3 * * * * * | 0 1 0 1 2 0 0 0 0 0 0 | 0 1 2 0 2 1 0 0 0 0 | 0 2 1 1 0
.oo.3.oo.&#x | 0 1 1 0 | * * * 3 * * * * | 1 0 0 0 0 2 1 0 0 0 0 | 2 1 0 0 0 0 1 2 0 0 | 1 2 0 0 1
.o.o3.o.o&#x | 0 1 0 1 | * * * * 3 * * * | 0 1 0 0 0 0 1 2 0 0 0 | 0 1 2 0 0 0 0 2 1 0 | 0 2 1 0 1
.... ..x.    | 0 0 2 0 | * * * * * 3 * * | 0 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
..oo3..oo&#x | 0 0 1 1 | * * * * * * 3 * | 0 0 0 1 0 0 1 0 0 2 0 | 0 1 0 0 2 0 0 2 0 1 | 0 2 0 1 1
.... ...x    | 0 0 0 2 | * * * * * * * 3 | 0 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
ooo.3ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 0 | 3 * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o3oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 0 | * 3 * * * * * * * * * | 0 1 2 0 0 0 0 0 0 0 | 0 2 1 0 0
.... o.x.&#x | 1 0 2 0 | 0 2 0 0 0 1 0 0 | * * 3 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
o.oo3o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 1 0 | * * * 3 * * * * * * * | 0 1 0 0 2 0 0 0 0 0 | 0 2 0 1 0
.... o..x&#x | 1 0 0 2 | 0 0 2 0 0 0 0 1 | * * * * 3 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.... .ox.&#x | 0 1 2 0 | 0 0 0 2 0 1 0 0 | * * * * * 3 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.ooo3.ooo&#x | 0 1 1 1 | 0 0 0 1 1 0 1 0 | * * * * * * 3 * * * * | 0 1 0 0 0 0 0 2 0 0 | 0 2 0 0 1
.... .o.x&#x | 0 1 0 2 | 0 0 0 0 2 0 0 1 | * * * * * * * 3 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
..o.3..x.    | 0 0 3 0 | 0 0 0 0 0 3 0 0 | * * * * * * * * 1 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 1 2 1 | * * * * * * * * * 3 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
...o3...x    | 0 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * 1 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
.... oox.&#x ♦ 1 1 2 0 | 1 2 0 2 0 1 0 0 | 2 0 1 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 0
oooo3oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 0 1 0 | 1 1 0 1 0 0 1 0 0 0 0 | * 3 * * * * * * * * | 0 2 0 0 0
.... oo.x&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 0 1 | 0 2 0 0 1 0 0 1 0 0 0 | * * 3 * * * * * * * | 0 1 1 0 0
o.o.3o.x.&#x ♦ 1 0 3 0 | 0 3 0 0 0 3 0 0 | 0 0 3 0 0 0 0 0 1 0 0 | * * * 1 * * * * * * | 1 0 0 1 0
.... o.xx&#x ♦ 1 0 2 2 | 0 2 2 0 0 1 2 1 | 0 0 1 2 1 0 0 0 0 1 0 | * * * * 3 * * * * * | 0 1 0 1 0
o..o3o..x&#x ♦ 1 0 0 3 | 0 0 3 0 0 0 0 3 | 0 0 0 0 3 0 0 0 0 0 1 | * * * * * 1 * * * * | 0 0 1 1 0
.oo.3.ox.&#x ♦ 0 1 3 0 | 0 0 0 3 0 3 0 0 | 0 0 0 0 0 3 0 0 1 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
.... .oxx&#x ♦ 0 1 2 2 | 0 0 0 2 2 1 2 1 | 0 0 0 0 0 1 2 1 0 1 0 | * * * * * * * 3 * * | 0 1 0 0 1
.o.o3.o.x&#x ♦ 0 1 0 3 | 0 0 0 0 3 0 0 3 | 0 0 0 0 0 0 0 3 0 0 1 | * * * * * * * * 1 * | 0 0 1 0 1
..oo3..xx&#x ♦ 0 0 3 3 | 0 0 0 0 0 3 3 3 | 0 0 0 0 0 0 0 0 1 3 1 | * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
ooo.3oox.&#x ♦ 1 1 3 0 | 1 3 0 3 0 3 0 0 | 3 0 3 0 0 3 0 0 1 0 0 | 3 0 0 1 0 0 1 0 0 0 | 1 * * * *
.... ooxx&#x ♦ 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 0 1 0 | 1 2 1 0 1 0 0 1 0 0 | * 3 * * *
oo.o3oo.x&#x ♦ 1 1 0 3 | 1 0 3 0 3 0 0 3 | 0 3 0 0 3 0 0 3 0 0 1 | 0 0 3 0 0 1 0 0 1 0 | * * 1 * *
o.oo3o.xx&#x ♦ 1 0 3 3 | 0 3 3 0 0 3 3 3 | 0 0 3 3 3 0 0 0 1 3 1 | 0 0 0 1 3 1 0 0 0 1 | * * * 1 *
.ooo3.oxx&#x ♦ 0 1 3 3 | 0 0 0 3 3 3 3 3 | 0 0 0 0 0 3 3 3 1 3 1 | 0 0 0 0 0 0 1 3 1 1 | * * * * 1
```

```ooox ooxx&#x   → height(1,2) = 1
height(1,3) = height(2,3) = height(3,4) = sqrt(3)/2 = 0.866025
height(1,4) = height(2,4) = 1/sqrt(2) = 0.707107

o... o...    | 1 * * * | 1 2 4 0 0 0 0 0 0 | 2 4 1 4 2 2 0 0 0 0 0 0 0 | 1 4 2 2 2 2 1 0 0 0 0 | 2 2 1 1 0
.o.. .o..    | * 1 * * | 1 0 0 2 4 0 0 0 0 | 2 4 0 0 0 0 1 4 2 2 0 0 0 | 1 4 2 2 0 0 0 2 2 1 0 | 2 2 1 0 1
..o. ..o.    | * * 2 * | 0 1 0 1 0 1 2 0 0 | 1 0 1 2 0 0 1 2 0 0 1 2 0 | 1 2 0 0 1 2 0 1 2 0 1 | 1 2 0 1 1
...o ...o    | * * * 4 | 0 0 1 0 1 0 1 1 1 | 0 1 0 1 1 1 0 1 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
oo.. oo..&#x | 1 1 0 0 | 1 * * * * * * * * | 2 4 0 0 0 0 0 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 0 0 0 | 2 2 1 0 0
o.o. o.o.&#x | 1 0 1 0 | * 2 * * * * * * * | 1 0 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 1 2 0 0 0 0 0 | 1 2 0 1 0
o..o o..o&#x | 1 0 0 1 | * * 4 * * * * * * | 0 1 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.oo. .oo.&#x | 0 1 1 0 | * * * 2 * * * * * | 1 0 0 0 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 0 0 1 2 0 0 | 1 2 0 0 1
.o.o .o.o&#x | 0 1 0 1 | * * * * 4 * * * * | 0 1 0 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.... ..x.    | 0 0 2 0 | * * * * * 1 * * * | 0 0 1 0 0 0 1 0 0 0 0 2 0 | 1 0 0 0 0 2 0 0 2 0 1 | 0 2 0 1 1
..oo ..oo&#x | 0 0 1 1 | * * * * * * 4 * * | 0 0 0 1 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
...x ....    | 0 0 0 2 | * * * * * * * 2 * | 0 0 0 0 1 0 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.... ...x    | 0 0 0 2 | * * * * * * * * 2 | 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
ooo. ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 0 0 | 2 * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 0 0 | * 4 * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
...  o.x.&#x | 1 0 2 0 | 0 2 0 0 0 1 0 0 0 | * * 1 * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 | 0 2 0 1 0
o.oo o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 1 0 0 | * * * 4 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 0 1 0 | * * * * 2 * * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.... o..x&#x | 1 0 0 2 | 0 0 2 0 0 0 0 0 1 | * * * * * 2 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.... .ox.&#x | 0 1 2 0 | 0 0 0 2 0 1 0 0 0 | * * * * * * 1 * * * * * * | 1 0 0 0 0 0 0 0 2 0 0 | 0 2 0 0 1
.ooo .ooo&#x | 0 1 1 1 | 0 0 0 1 1 0 1 0 0 | * * * * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 0 1 0 | * * * * * * * * 2 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .o.x&#x | 0 1 0 2 | 0 0 0 0 2 0 0 0 1 | * * * * * * * * * 2 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * 2 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * 2 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
...x ...x    | 0 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
.... oox.&#x ♦ 1 1 2 0 | 1 2 0 2 0 1 0 0 0 | 2 0 1 0 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 2 0 0 0
oooo oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 0 1 0 0 | 1 1 0 1 0 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * | 1 1 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 0 1 0 | 0 2 0 0 1 0 0 0 1 0 0 0 0 | * * 2 * * * * * * * * | 1 0 1 0 0
.... oo.x&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 0 0 1 | 0 2 0 0 0 1 0 0 0 1 0 0 0 | * * * 2 * * * * * * * | 0 1 1 0 0
o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 0 2 1 0 | 0 0 0 2 1 0 0 0 0 0 1 0 0 | * * * * 2 * * * * * * | 1 0 0 1 0
.... o.xx&#x ♦ 1 0 2 2 | 0 2 2 0 0 1 2 0 1 | 0 0 1 2 0 1 0 0 0 0 0 1 0 | * * * * * 2 * * * * * | 0 1 0 1 0
o..x o..x&#x ♦ 1 0 0 4 | 0 0 4 0 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 0 0 0 1 | * * * * * * 1 * * * * | 0 0 1 1 0
.oox ....&#x ♦ 0 1 1 2 | 0 0 0 1 2 0 2 1 0 | 0 0 0 0 0 0 0 2 1 0 1 0 0 | * * * * * * * 2 * * * | 1 0 0 0 1
.... .oxx&#x ♦ 0 1 2 2 | 0 0 0 2 2 1 2 0 1 | 0 0 0 0 0 0 1 2 0 1 0 1 0 | * * * * * * * * 2 * * | 0 1 0 0 1
.o.x .o.x&#x ♦ 0 1 0 4 | 0 0 0 0 4 0 0 2 2 | 0 0 0 0 0 0 0 0 2 2 0 0 1 | * * * * * * * * * 1 * | 0 0 1 0 1
..ox ..xx&#x ♦ 0 0 2 4 | 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 0 0 2 2 1 | * * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
ooox ....&#x ♦ 1 1 1 2 | 1 1 2 1 2 0 2 1 0 | 1 2 0 2 1 0 0 2 1 0 1 0 0 | 0 2 1 0 1 0 0 1 0 0 0 | 2 * * * *
.... ooxx&#x ♦ 1 1 2 2 | 1 2 2 2 2 1 2 0 1 | 2 2 1 2 0 1 1 2 0 1 0 1 0 | 1 2 0 1 0 1 0 0 1 0 0 | * 2 * * *
oo.x oo.x&#x ♦ 1 1 0 4 | 1 0 4 0 4 0 0 2 2 | 0 4 0 0 2 2 0 0 2 2 0 0 1 | 0 0 2 2 0 0 1 0 0 1 0 | * * 1 * *
o.ox o.xx&#x ♦ 1 0 2 4 | 0 2 4 0 0 1 4 2 2 | 0 0 1 4 2 2 0 0 0 0 2 2 1 | 0 0 0 0 2 2 1 0 0 0 1 | * * * 1 *
.oox .oxx&#x ♦ 0 1 2 4 | 0 0 0 2 4 1 4 2 2 | 0 0 0 0 0 0 1 4 2 2 2 2 1 | 0 0 0 0 0 0 0 2 2 1 1 | * * * * 1
```

```ooox xxxo&#x   → height(1,2) = height(1,3) = height(2,3) = 1
height(1,4) = height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107

o... o...    | 2 * * * | 1 1 1 2 0 0 0 0 0 0 | 1 1 2 1 2 1 2 0 0 0 0 0 0 | 1 2 1 2 1 2 1 0 0 0 0 | 1 2 1 1 0
.o.. .o..    | * 2 * * | 0 1 0 0 1 1 2 0 0 0 | 1 1 2 0 0 0 0 1 2 1 2 0 0 | 1 2 1 2 0 0 0 1 2 1 0 | 1 2 1 0 1
..o. ..o.    | * * 2 * | 0 0 1 0 0 1 0 1 2 0 | 0 1 0 1 2 0 0 1 2 0 0 1 2 | 1 2 0 0 1 2 0 1 2 0 1 | 1 2 0 1 1
...o ...o    | * * * 2 | 0 0 0 2 0 0 2 0 2 1 | 0 0 2 0 2 2 1 0 2 2 1 2 1 | 0 2 2 1 2 1 1 2 1 1 1 | 2 1 1 1 1
-------------+---------+---------------------+---------------------------+-----------------------+----------
.... x...    | 2 0 0 0 | 1 * * * * * * * * * | 1 0 0 1 0 0 2 0 0 0 0 0 0 | 1 0 0 2 0 2 1 0 0 0 0 | 0 2 1 1 0
oo.. oo..&#x | 1 1 0 0 | * 2 * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 0 0 0 0 0 | 1 2 1 0 0
o.o. o.o.&#x | 1 0 1 0 | * * 2 * * * * * * * | 0 1 0 1 2 0 0 0 0 0 0 0 0 | 1 2 0 0 1 2 0 0 0 0 0 | 1 2 0 1 0
o..o o..o&#x | 1 0 0 1 | * * * 4 * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.... .x..    | 0 2 0 0 | * * * * 1 * * * * * | 1 0 0 0 0 0 0 1 0 0 2 0 0 | 1 0 0 2 0 0 0 0 2 1 0 | 0 2 1 0 1
.oo. .oo.&#x | 0 1 1 0 | * * * * * 2 * * * * | 0 1 0 0 0 0 0 1 2 0 0 0 0 | 1 2 0 0 0 0 0 1 2 0 0 | 1 2 0 0 1
.o.o .o.o&#x | 0 1 0 1 | * * * * * * 4 * * * | 0 0 1 0 0 0 0 0 1 1 1 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.... ..x.    | 0 0 2 0 | * * * * * * * 1 * * | 0 0 0 1 0 0 0 1 0 0 0 0 2 | 1 0 0 0 0 2 0 0 2 0 1 | 0 2 0 1 1
..oo ..oo&#x | 0 0 1 1 | * * * * * * * * 4 * | 0 0 0 0 1 0 0 0 1 0 0 1 1 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
...x ....    | 0 0 0 2 | * * * * * * * * * 1 | 0 0 0 0 0 2 0 0 0 2 0 2 0 | 0 0 2 0 2 0 1 2 0 1 1 | 2 0 1 1 1
-------------+---------+---------------------+---------------------------+-----------------------+----------
.... xx..&#x | 2 2 0 0 | 1 2 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 | 0 2 1 0 0
ooo. ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 | * 2 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 | * * 4 * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.... x.x.&#x | 2 0 2 0 | 1 0 2 0 0 0 0 1 0 0 | * * * 1 * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 | 0 2 0 1 0
o.oo o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 1 0 | * * * * 4 * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 1 | * * * * * 2 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.... x..o&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 0 0 | * * * * * * 2 * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.... .xx.&#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 | * * * * * * * 1 * * * * * | 1 0 0 0 0 0 0 0 2 0 0 | 0 2 0 0 1
.ooo .ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * 4 * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 0 0 2 0 0 1 | * * * * * * * * * 2 * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .x.o&#x | 0 2 0 1 | 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * 2 * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * 2 * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
-------------+---------+---------------------+---------------------------+-----------------------+----------
.... xxx.&#x ♦ 2 2 2 0 | 1 2 2 0 1 2 0 1 0 0 | 1 2 0 1 0 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * * | 0 2 0 0 0
oooo oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 1 0 | 0 1 1 0 1 0 0 0 1 0 0 0 0 | * 4 * * * * * * * * * | 1 1 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 0 1 0 2 0 0 2 0 0 1 | 0 0 2 0 0 1 0 0 0 1 0 0 0 | * * 2 * * * * * * * * | 1 0 1 0 0
.... xx.o&#x ♦ 2 2 0 1 | 1 2 0 2 1 0 2 0 0 0 | 1 0 2 0 0 0 1 0 0 0 1 0 0 | * * * 2 * * * * * * * | 0 1 1 0 0
o.ox ....&#x ♦ 1 0 1 2 | 0 0 1 2 0 0 0 0 2 1 | 0 0 0 0 2 1 0 0 0 0 0 1 0 | * * * * 2 * * * * * * | 1 0 0 1 0
.... x.xo&#x ♦ 2 0 2 1 | 1 0 2 2 0 0 0 1 2 0 | 0 0 0 1 2 0 1 0 0 0 0 0 1 | * * * * * 2 * * * * * | 0 1 0 1 0
o..x x..o&#x ♦ 2 0 0 2 | 1 0 0 4 0 0 0 0 0 1 | 0 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * * 1 * * * * | 0 0 1 1 0
.oox ....&#x ♦ 0 1 1 2 | 0 0 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 0 0 2 1 0 1 0 | * * * * * * * 2 * * * | 1 0 0 0 1
.... .xxo&#x ♦ 0 2 2 1 | 0 0 0 0 1 2 2 1 2 0 | 0 0 0 0 0 0 0 1 2 0 1 0 1 | * * * * * * * * 2 * * | 0 1 0 0 1
.o.x .x.o&#x ♦ 0 2 0 2 | 0 0 0 0 1 0 4 0 0 1 | 0 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * 1 * | 0 0 1 0 1
..ox ..xo&#x ♦ 0 0 2 2 | 0 0 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+---------------------+---------------------------+-----------------------+----------
ooox ....&#x ♦ 1 1 1 2 | 0 1 1 2 0 1 2 0 2 1 | 0 1 2 0 2 1 0 0 2 1 0 1 0 | 0 2 1 0 1 0 0 1 0 0 0 | 2 * * * *
.... xxxo&#x ♦ 2 2 2 1 | 1 2 2 2 1 2 2 1 2 0 | 1 2 2 1 2 0 1 1 2 0 1 0 1 | 1 2 0 1 0 1 0 0 1 0 0 | * 2 * * *
oo.x xx.o&#x ♦ 2 2 0 2 | 1 2 0 4 1 0 4 0 0 1 | 1 0 4 0 0 2 2 0 0 2 2 0 0 | 0 0 2 2 0 0 1 0 0 1 0 | * * 1 * *
o.ox x.xo&#x ♦ 2 0 2 2 | 1 0 2 4 0 0 0 1 4 1 | 0 0 0 1 4 2 2 0 0 0 0 2 2 | 0 0 0 0 2 2 1 0 0 0 1 | * * * 1 *
.oox .xxo&#x ♦ 0 2 2 2 | 0 0 0 0 1 2 4 1 4 1 | 0 0 0 0 0 0 0 1 4 2 2 2 2 | 0 0 0 0 0 0 0 2 2 1 1 | * * * * 1
```

```ooxxx&#x   → height(1,2) = height(3,4) = height(3,5) = height(4,5) = 1
height(1,3) = height(1,4) = height(1,5) = height(2,3) = height(2,4) = height(2,5) = sqrt(2/3) = 0.816497

o....    | 1 * * * * ♦ 1 2 2 2 0 0 0 0 0 0 0 0 0 | 2 2 2 1 2 2 1 2 2 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 1 1 2 1 1 0 0 0 0 0 | 1 2 1 1 1 0
.o...    | * 1 * * * ♦ 1 0 0 0 2 2 2 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 1 2 2 1 2 1 0 0 0 0 | 1 2 2 1 2 1 0 0 0 0 1 2 1 1 0 | 1 2 1 1 0 1
..o..    | * * 2 * * | 0 1 0 0 1 0 0 1 1 1 0 0 0 | 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1
...o.    | * * * 2 * | 0 0 1 0 0 1 0 0 1 0 1 1 0 | 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 | 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1
....o    | * * * * 2 | 0 0 0 1 0 0 1 0 0 1 0 1 1 | 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------+-----------+---------------------------+---------------------------------------+-------------------------------+------------
oo...&#x | 1 1 0 0 0 | 1 * * * * * * * * * * * * ♦ 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o..&#x | 1 0 1 0 0 | * 2 * * * * * * * * * * * | 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0
o..o.&#x | 1 0 0 1 0 | * * 2 * * * * * * * * * * | 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
o...o&#x | 1 0 0 0 1 | * * * 2 * * * * * * * * * | 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.oo..&#x | 0 1 1 0 0 | * * * * 2 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1
.o.o.&#x | 0 1 0 1 0 | * * * * * 2 * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
.o..o&#x | 0 1 0 0 1 | * * * * * * 2 * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x..    | 0 0 2 0 0 | * * * * * * * 1 * * * * * | 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 | 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1
..oo.&#x | 0 0 1 1 0 | * * * * * * * * 2 * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1
..o.o&#x | 0 0 1 0 1 | * * * * * * * * * 2 * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
...x.    | 0 0 0 2 0 | * * * * * * * * * * 1 * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1
...oo&#x | 0 0 0 1 1 | * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
....x    | 0 0 0 0 2 | * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------+-----------+---------------------------+---------------------------------------+-------------------------------+------------
ooo..&#x | 1 1 1 0 0 | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
oo.o.&#x | 1 1 0 1 0 | 1 0 1 0 0 1 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
oo..o&#x | 1 1 0 0 1 | 1 0 0 1 0 0 1 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x..&#x | 1 0 2 0 0 | 0 2 0 0 0 0 0 1 0 0 0 0 0 | * * * 1 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
o.oo.&#x | 1 0 1 1 0 | 0 1 1 0 0 0 0 0 1 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
o.o.o&#x | 1 0 1 0 1 | 0 1 0 1 0 0 0 0 0 1 0 0 0 | * * * * * 2 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
o..x.&#x | 1 0 0 2 0 | 0 0 2 0 0 0 0 0 0 0 1 0 0 | * * * * * * 1 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
o..oo&#x | 1 0 0 1 1 | 0 0 1 1 0 0 0 0 0 0 0 1 0 | * * * * * * * 2 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
o...x&#x | 1 0 0 0 2 | 0 0 0 2 0 0 0 0 0 0 0 0 1 | * * * * * * * * 1 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.ox..&#x | 0 1 2 0 0 | 0 0 0 0 2 0 0 1 0 0 0 0 0 | * * * * * * * * * 1 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1
.ooo.&#x | 0 1 1 1 0 | 0 0 0 0 1 1 0 0 1 0 0 0 0 | * * * * * * * * * * 2 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
.oo.o&#x | 0 1 1 0 1 | 0 0 0 0 1 0 1 0 0 1 0 0 0 | * * * * * * * * * * * 2 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.o.x.&#x | 0 1 0 2 0 | 0 0 0 0 0 2 0 0 0 0 1 0 0 | * * * * * * * * * * * * 1 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.o.oo&#x | 0 1 0 1 1 | 0 0 0 0 0 1 1 0 0 0 0 1 0 | * * * * * * * * * * * * * 2 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.o..x&#x | 0 1 0 0 2 | 0 0 0 0 0 0 2 0 0 0 0 0 1 | * * * * * * * * * * * * * * 1 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..xx.&#x | 0 0 2 2 0 | 0 0 0 0 0 0 0 1 2 0 1 0 0 | * * * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1
..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x.x&#x | 0 0 2 0 2 | 0 0 0 0 0 0 0 1 0 2 0 0 1 | * * * * * * * * * * * * * * * * * 1 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
...xx&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------+-----------+---------------------------+---------------------------------------+-------------------------------+------------
oox..&#x ♦ 1 1 2 0 0 | 1 2 0 0 2 0 0 1 0 0 0 0 0 | 2 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 1 0 0 0
oooo.&#x ♦ 1 1 1 1 0 | 1 1 1 0 1 1 0 0 1 0 0 0 0 | 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * | 1 1 0 0 0 0
ooo.o&#x ♦ 1 1 1 0 1 | 1 1 0 1 1 0 1 0 0 1 0 0 0 | 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * | 0 1 1 0 0 0
oo.x.&#x ♦ 1 1 0 2 0 | 1 0 2 0 0 2 0 0 0 0 1 0 0 | 0 2 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 1 * * * * * * * * * * * | 1 0 0 1 0 0
oo.oo&#x ♦ 1 1 0 1 1 | 1 0 1 1 0 1 1 0 0 0 0 1 0 | 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | * * * * 2 * * * * * * * * * * | 0 1 0 1 0 0
oo..x&#x ♦ 1 1 0 0 2 | 1 0 0 2 0 0 2 0 0 0 0 0 1 | 0 0 2 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * * 1 * * * * * * * * * | 0 0 1 1 0 0
o.xx.&#x ♦ 1 0 2 2 0 | 0 2 2 0 0 0 0 1 2 0 1 0 0 | 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0
o.ooo&#x ♦ 1 0 1 1 1 | 0 1 1 1 0 0 0 0 1 1 0 1 0 | 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 2 * * * * * * * | 0 1 0 0 1 0
o.x.x&#x ♦ 1 0 2 0 2 | 0 2 0 2 0 0 0 1 0 2 0 0 1 | 0 0 0 1 0 2 0 0 1 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * 1 * * * * * * | 0 0 1 0 1 0
o..xx&#x ♦ 1 0 0 2 2 | 0 0 2 2 0 0 0 0 0 0 1 2 1 | 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * * | 0 0 0 1 1 0
.oxx.&#x ♦ 0 1 2 2 0 | 0 0 0 0 2 2 0 1 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 1 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.oooo&#x ♦ 0 1 1 1 1 | 0 0 0 0 1 1 1 0 1 1 0 1 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 | * * * * * * * * * * * 2 * * * | 0 1 0 0 0 1
.ox.x&#x ♦ 0 1 2 0 2 | 0 0 0 0 2 0 2 1 0 2 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1 0 0 1 0 | * * * * * * * * * * * * 1 * * | 0 0 1 0 0 1
.o.xx&#x ♦ 0 1 0 2 2 | 0 0 0 0 0 2 2 0 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 | * * * * * * * * * * * * * 1 * | 0 0 0 1 0 1
..xxx&#x ♦ 0 0 2 2 2 | 0 0 0 0 0 0 0 1 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------+-----------+---------------------------+---------------------------------------+-------------------------------+------------
ooxx.&#x ♦ 1 1 2 2 0 | 1 2 2 0 2 2 0 1 2 0 1 0 0 | 2 2 0 1 2 0 1 0 0 1 2 0 1 0 0 1 0 0 0 | 1 2 0 1 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * *
ooooo&#x ♦ 1 1 1 1 1 | 1 1 1 1 1 1 1 0 1 1 0 1 0 | 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 0 | 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 | * 2 * * * *
oox.x&#x ♦ 1 1 2 0 2 | 1 2 0 2 2 0 2 1 0 2 0 0 1 | 2 0 2 1 0 2 0 0 1 1 0 2 0 0 1 0 0 1 0 | 1 0 2 0 0 1 0 0 1 0 0 0 1 0 0 | * * 1 * * *
oo.xx&#x ♦ 1 1 0 2 2 | 1 0 2 2 0 2 2 0 0 0 1 2 1 | 0 2 2 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 | 0 0 0 1 2 1 0 0 0 1 0 0 0 1 0 | * * * 1 * *
o.xxx&#x ♦ 1 0 2 2 2 | 0 2 2 2 0 0 0 1 2 2 1 2 1 | 0 0 0 1 2 2 1 2 1 0 0 0 0 0 0 1 2 1 1 | 0 0 0 0 0 0 1 2 1 1 0 0 0 0 1 | * * * * 1 *
.oxxx&#x ♦ 0 1 2 2 2 | 0 0 0 0 2 2 2 1 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 1 2 1 1 | 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 | * * * * * 1
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