Acronym octepe Name octahedral pennene Circumradius 1/sqrt(2) = 0.707107 Confer uniform relative: zee   related segmentotera: hexete   general polytopal classes: segmentoexa   scalene   tettene   pennene

Incidence matrix according to Dynkin symbol

```xo3oo3oo ox3oo4oo&#x   → height = 1/sqrt(8) = 0.353553
(tegum product of tet with oct)

o.3o.3o. o.3o.4o.    | 4 * ♦ 3  6  0 | 3 18 12 0 | 1 18 36  8 0 | 6 36 24 1 | 12 24 3 | 8 3
.o3.o3.o .o3.o4.o    | * 6 ♦ 0  4  4 | 0  6 16 4 | 0  4 24 16 1 | 1 16 24 4 |  4 16 6 | 4 4
---------------------+-----+---------+-----------+--------------+-----------+---------+----
x. .. .. .. .. ..    | 2 0 | 6  *  * ♦ 2  6  0 0 | 1 12 12  0 0 | 6 24  8 0 | 12 16 1 | 8 2
oo3oo3oo oo3oo4oo&#x | 1 1 | * 24  * | 0  3  4 0 | 0  3 12  4 0 | 1 12 12 1 |  4 12 3 | 4 3
.. .. .. .x .. ..    | 0 2 | *  * 12 | 0  0  4 2 | 0  0  6  8 1 | 0  4 12 4 |  1  8 6 | 2 4
---------------------+-----+---------+-----------+--------------+-----------+---------+----
x.3o. .. .. .. ..    | 3 0 | 3  0  0 | 4  *  * * ♦ 1  6  0  0 0 | 6 12  0 0 | 12  8 0 | 8 1
xo .. .. .. .. ..&#x | 2 1 | 1  2  0 | * 36  * * | 0  2  4  0 0 | 1  8  4 0 |  4  8 1 | 4 2
.. .. .. ox .. ..&#x | 1 2 | 0  2  1 | *  * 48 * | 0  0  3  2 0 | 0  3  6 1 |  1  6 3 | 2 3
.. .. .. .x3.o ..    | 0 3 | 0  0  3 | *  *  * 8 | 0  0  0  4 1 | 0  0  6 4 |  0  4 6 | 1 4
---------------------+-----+---------+-----------+--------------+-----------+---------+----
x.3o.3o. .. .. ..    ♦ 4 0 | 6  0  0 | 4  0  0 0 | 1  *  *  * * ♦ 6  0  0 0 | 12  0 0 | 8 0
xo3oo .. .. .. ..&#x ♦ 3 1 | 3  3  0 | 1  3  0 0 | * 24  *  * * | 1  4  0 0 |  4  4 0 | 4 1
xo .. .. ox .. ..&#x ♦ 2 2 | 1  4  1 | 0  2  2 0 | *  * 72  * * | 0  2  2 0 |  1  4 1 | 2 2
.. .. .. ox3oo ..&#x ♦ 1 3 | 0  3  3 | 0  0  3 1 | *  *  * 32 * | 0  0  3 1 |  0  3 3 | 1 3
.. .. .. .x3.o4.o    ♦ 0 6 | 0  0 12 | 0  0  0 8 | *  *  *  * 1 ♦ 0  0  0 4 |  0  0 6 | 0 4
---------------------+-----+---------+-----------+--------------+-----------+---------+----
xo3oo3oo .. .. ..&#x ♦ 4 1 | 6  4  0 | 4  6  0 0 | 1  4  0  0 0 | 6  *  * * |  4  0 0 | 4 0
xo3oo .. ox .. ..&#x ♦ 3 2 | 3  6  1 | 1  6  3 0 | 0  2  3  0 0 | * 48  * * |  1  2 0 | 2 1
xo .. .. ox3oo ..&#x ♦ 2 3 | 1  6  3 | 0  3  6 1 | 0  0  3  2 0 | *  * 48 * |  0  2 1 | 1 2
.. .. .. ox3oo4oo&#x ♦ 1 6 | 0  6 12 | 0  0 12 8 | 0  0  0  8 1 | *  *  * 4 |  0  0 3 | 0 3
---------------------+-----+---------+-----------+--------------+-----------+---------+----
xo3oo3oo ox .. ..&#x ♦ 4 2 | 6  8  1 | 4 12  4 0 | 1  8  6  0 0 | 2  4  0 0 | 12  * * | 2 0
xo3oo .. ox3oo ..&#x ♦ 3 3 | 3  9  3 | 1  9  9 1 | 0  3  9  3 0 | 0  3  3 0 |  * 32 * | 1 1
xo .. .. ox3oo4oo&#x ♦ 2 6 | 1 12 12 | 0  6 24 8 | 0  0 12 16 1 | 0  0  8 2 |  *  * 6 | 0 2
---------------------+-----+---------+-----------+--------------+-----------+---------+----
xo3oo3oo ox3oo ..&#x ♦ 4 3 | 6 12  3 | 4 18 12 1 | 1 12 18  4 0 | 3 12  6 0 |  3  4 0 | 8 *
xo3oo .. ox3oo4oo&#x ♦ 3 6 | 3 18 12 | 1 18 36 8 | 0  6 36 24 1 | 0 12 24 3 |  0  8 3 | * 4
```

```xo3oo3oo oo3ox3oo&#x   → height = 1/sqrt(8) = 0.353553
(tegum product of tet with oct)

o.3o.3o. o.3o.3o.    | 4 * ♦ 3  6  0 | 3 18 12 0 0 | 1 18 36  4  4 0 | 6 36 12 12 1 | 12 12 12 3 | 4 4 3
.o3.o3.o .o3.o3.o    | * 6 ♦ 0  4  4 | 0  6 16 2 2 | 0  4 24  8  8 1 | 1 16 12 12 4 |  4  8  8 6 | 2 2 4
---------------------+-----+---------+-------------+-----------------+--------------+------------+------
x. .. .. .. .. ..    | 2 0 | 6  *  * ♦ 2  6  0 0 0 | 1 12 12  0  0 0 | 6 24  4  4 0 | 12  8  8 1 | 4 4 2
oo3oo3oo oo3oo3oo&#x | 1 1 | * 24  * | 0  3  4 0 0 | 0  3 12  2  2 0 | 1 12  6  6 1 |  4  6  6 3 | 2 2 3
.. .. .. .. .x ..    | 0 2 | *  * 12 | 0  0  4 1 1 | 0  0  6  4  4 1 | 0  4  6  6 4 |  1  4  4 6 | 1 1 4
---------------------+-----+---------+-------------+-----------------+--------------+------------+------
x.3o. .. .. .. ..    | 3 0 | 3  0  0 | 4  *  * * * ♦ 1  6  0  0  0 0 | 6 12  0  0 0 | 12  4  4 0 | 4 4 1
xo .. .. .. .. ..&#x | 2 1 | 1  2  0 | * 36  * * * | 0  2  4  0  0 0 | 1  8  4  0 0 |  4  4  4 1 | 2 2 2
.. .. .. .. ox ..&#x | 1 2 | 0  2  1 | *  * 48 * * | 0  0  3  1  1 0 | 0  3  3  3 1 |  1  3  3 3 | 1 1 3
.. .. .. .o3.x ..    | 0 3 | 0  0  3 | *  *  * 4 * | 0  0  0  4  0 1 | 0  0  6  0 4 |  0  4  0 6 | 1 0 4
.. .. .. .. .x3.o    | 0 3 | 0  0  3 | *  *  * * 4 | 0  0  0  0  4 1 | 0  0  0  6 4 |  0  0  4 6 | 0 1 4
---------------------+-----+---------+-------------+-----------------+--------------+------------+------
x.3o.3o. .. .. ..    ♦ 4 0 | 6  0  0 | 4  0  0 0 0 | 1  *  *  *  * * ♦ 6  0  0  0 0 | 12  0  0 0 | 4 4 0
xo3oo .. .. .. ..&#x ♦ 3 1 | 3  3  0 | 1  3  0 0 0 | * 24  *  *  * * | 1  4  0  0 0 |  4  2  2 0 | 2 2 1
xo .. .. .. ox ..&#x ♦ 2 2 | 1  4  1 | 0  2  2 0 0 | *  * 72  *  * * | 0  2  1  1 0 |  1  2  2 1 | 1 1 2
.. .. .. oo3ox ..&#x ♦ 1 3 | 0  3  3 | 0  0  3 1 0 | *  *  * 16  * * | 0  0  3  0 1 |  0  3  0 3 | 1 0 3
.. .. .. .. ox3oo&#x ♦ 1 3 | 0  3  3 | 0  0  3 0 1 | *  *  *  * 16 * | 0  0  0  3 1 |  0  0  3 3 | 0 1 3
.. .. .. .o3.x3.o    ♦ 0 6 | 0  0 12 | 0  0  0 4 4 | *  *  *  *  * 1 ♦ 0  0  0  0 4 |  0  0  0 6 | 0 0 4
---------------------+-----+---------+-------------+-----------------+--------------+------------+------
xo3oo3oo .. .. ..&#x ♦ 4 1 | 6  4  0 | 4  6  0 0 0 | 1  4  0  0  0 0 | 6  *  *  * * |  4  0  0 0 | 2 2 0
xo3oo .. .. ox ..&#x ♦ 3 2 | 3  6  1 | 1  6  3 0 0 | 0  2  3  0  0 0 | * 48  *  * * |  1  1  1 0 | 1 1 1
xo .. .. oo3ox ..&#x ♦ 2 3 | 1  6  3 | 0  3  6 1 0 | 0  0  3  2  0 0 | *  * 24  * * |  0  2  0 1 | 1 0 2
xo .. .. .. ox3oo&#x ♦ 2 3 | 1  6  3 | 0  3  6 0 1 | 0  0  3  0  2 0 | *  *  * 24 * |  0  0  2 1 | 0 1 2
.. .. .. oo3ox3oo&#x ♦ 1 6 | 0  6 12 | 0  0 12 4 4 | 0  0  0  4  4 1 | *  *  *  * 4 |  0  0  0 3 | 0 0 3
---------------------+-----+---------+-------------+-----------------+--------------+------------+------
xo3oo3oo .. ox ..&#x ♦ 4 2 | 6  8  1 | 4 12  4 0 0 | 1  8  6  0  0 0 | 2  4  0  0 0 | 12  *  * * | 1 1 0
xo3oo .. oo3ox ..&#x ♦ 3 3 | 3  9  3 | 1  9  9 1 0 | 0  3  9  3  0 0 | 0  3  3  0 0 |  * 16  * * | 1 0 1
xo3oo .. .. ox3oo&#x ♦ 3 3 | 3  9  3 | 1  9  9 0 1 | 0  3  9  0  3 0 | 0  3  0  3 0 |  *  * 16 * | 0 1 1
xo .. .. oo3ox3oo&#x ♦ 2 6 | 1 12 12 | 0  6 24 4 4 | 0  0 12  8  8 1 | 0  0  4  4 2 |  *  *  * 6 | 0 0 2
---------------------+-----+---------+-------------+-----------------+--------------+------------+------
xo3oo3oo oo3ox ..&#x ♦ 4 3 | 6 12  3 | 4 18 12 1 0 | 1 12 18  4  0 0 | 3 12  6  0 0 |  3  4  0 0 | 4 * *
xo3oo3oo .. ox3oo&#x ♦ 4 3 | 6 12  3 | 4 18 12 0 1 | 1 12 18  0  4 0 | 3 12  0  6 0 |  3  0  4 0 | * 4 *
xo3oo .. oo3ox3oo&#x ♦ 3 6 | 3 18 12 | 1 18 36 4 4 | 0  6 36 12 12 1 | 0 12 12 12 3 |  0  4  4 3 | * * 4
```

```xoo3oox oxo3ooo3ooo&#x   → height(1,2) = height(2,3) = sqrt(7/24) = 0.540062
height(1,3) = sqrt(2/3) = 0.816497

o..3o.. o..3o..3o..    & | 6 * ♦ 2  4 2 0 | 1  8  6 3  8 0 | 4  4  4 1 12 12 0 |  6  8 1 4 18  8 | 4 2 6 12 2 | 1 4 3
.o.3.o. .o.3.o.3.o.      | * 4 ♦ 0  6 0 3 | 0  6 18 0  6 3 | 2 18 12 0  6 18 1 |  6 18 6 1 18 18 | 6 6 3 12 6 | 2 3 6
-------------------------+-----+----------+----------------+-------------------+-----------------+------------+------
x.. ... ... ... ...    & | 2 0 | 6  * * * | 1  4  0 1  0 0 | 4  9  0 1  4  0 0 |  6  4 0 4  6  0 | 4 1 6  4 0 | 1 4 1
oo.3oo. oo.3oo.3oo.&#x & | 1 1 | * 24 * * | 0  2  3 0  2 0 | 1  6  3 0  3  6 0 |  3  6 1 1  9  6 | 3 2 3  9 2 | 1 3 3
o.o3o.o o.o3o.o3o.o&#x   | 2 0 | *  * 6 * | 0  0  0 2  4 0 | 0  0  0 1  8  6 0 |  0  0 0 4 12  4 | 0 0 6  8 1 | 0 4 2
... ... .x. ... ...      | 0 2 | *  * * 6 ♦ 0  0  6 0  0 2 | 0  6 12 0  0  6 1 |  2 12 6 0  6 12 | 4 6 1 12 6 | 2 2 6
-------------------------+-----+----------+----------------+-------------------+-----------------+------------+------
x..3o.. ... ... ...    & | 3 0 | 3  0 0 0 | 2  *  * *  * * | 4  0  0 1  0  0 0 |  6  0 0 4  0  0 | 4 0 6  0 0 | 1 4 0
xo. ... ... ... ...&#x & | 2 1 | 1  2 0 0 | * 24  * *  * * | 1  3  0 0  1  0 0 |  3  3 0 1  3  0 | 3 1 3  3 0 | 1 3 1
... ... ox. ... ...&#x & | 1 2 | 0  2 0 1 | *  * 36 *  * * | 0  2  2 0  0  2 0 |  1  4 1 0  3  4 | 2 2 1  6 2 | 1 2 3
x.o ... ... ... ...&#x & | 3 0 | 1  0 2 0 | *  *  * 6  * * | 0  0  0 1  4  0 0 |  0  0 0 4  6  0 | 0 0 6  4 0 | 0 4 1
ooo3ooo ooo3ooo3ooo&#x   | 2 1 | 0  2 1 0 | *  *  * * 24 * | 0  0  0 0  2  3 0 |  0  0 0 1  6  3 | 0 0 3  6 1 | 0 3 2
... ... .x.3.o. ...      | 0 3 | 0  0 0 3 | *  *  * *  * 4 ♦ 0  0  6 0  0  0 1 |  0  6 6 0  0  6 | 2 6 0  6 6 | 2 1 6
-------------------------+-----+----------+----------------+-------------------+-----------------+------------+------
xo.3oo. ... ... ...&#x & ♦ 3 1 | 3  3 0 0 | 1  3  0 0  0 0 | 8  *  * *  *  * * |  3  0 0 1  0  0 | 3 0 3  0 0 | 1 3 0
xo. ... ox. ... ...&#x & ♦ 2 2 | 1  4 0 1 | 0  2  2 0  0 0 | * 36  * *  *  * * |  1  2 0 0  1  0 | 2 1 1  2 0 | 1 2 1
... ... ox.3oo. ...&#x & ♦ 1 3 | 0  3 0 3 | 0  0  3 0  0 1 | *  * 24 *  *  * * |  0  2 1 0  0  2 | 1 2 0  3 2 | 1 1 3
x.o3o.x ... ... ...&#x   ♦ 6 0 | 6  0 6 0 | 2  0  0 6  0 0 | *  *  * 1  *  * * ♦  0  0 0 4  0  0 | 0 0 6  0 0 | 0 4 0
xoo ... ... ... ...&#x & ♦ 3 1 | 1  3 2 0 | 0  1  0 1  2 0 | *  *  * * 24  * * |  0  0 0 1  3  0 | 0 0 3  3 0 | 0 3 1
... ... oxo ... ...&#x   ♦ 2 2 | 0  4 1 1 | 0  0  2 0  2 0 | *  *  * *  * 36 * |  0  0 0 0  2  2 | 0 0 1  4 1 | 0 2 2
... ... .x.3.o.3.o.      ♦ 0 4 | 0  0 0 6 | 0  0  0 0  0 4 | *  *  * *  *  * 1 ♦  0  0 6 0  0  0 | 0 6 0  0 6 | 2 0 6
-------------------------+-----+----------+----------------+-------------------+-----------------+------------+------
xo.3oo. ox. ... ...&#x & ♦ 3 2 | 3  6 0 1 | 1  6  3 0  0 0 | 2  3  0 0  0  0 0 | 12  * * *  *  * | 2 0 1  0 0 | 1 2 0
xo. ... ox.3oo. ...&#x & ♦ 2 3 | 1  6 0 3 | 0  3  6 0  0 1 | 0  3  2 0  0  0 0 |  * 24 * *  *  * | 1 1 0  1 0 | 1 1 1
... ... ox.3oo.3oo.&#x & ♦ 1 4 | 0  4 0 6 | 0  0  6 0  0 4 | 0  0  4 0  0  0 1 |  *  * 6 *  *  * | 0 2 0  0 2 | 1 0 3
xoo3oox ... ... ...&#x   ♦ 6 1 | 6  6 6 0 | 2  6  0 6  6 0 | 2  0  0 1  6  0 0 |  *  * * 4  *  * | 0 0 3  0 0 | 0 3 0
xoo ... oxo ... ...&#x & ♦ 3 2 | 1  6 2 1 | 0  2  3 1  4 0 | 0  1  0 0  2  2 0 |  *  * * * 36  * | 0 0 1  2 0 | 0 2 1
... ... oxo3ooo ...&#x   ♦ 2 3 | 0  6 1 3 | 0  0  6 0  3 1 | 0  0  2 0  0  3 0 |  *  * * *  * 24 | 0 0 0  2 1 | 0 1 2
-------------------------+-----+----------+----------------+-------------------+-----------------+------------+------
xo.3oo. ox.3oo. ...&#x & ♦ 3 3 | 3  9 0 3 | 1  9  9 0  0 1 | 3  9  3 0  0  0 0 |  3  3 0 0  0  0 | 8 * *  * * | 1 1 0
xo. ... ox.3oo.3oo.&#x & ♦ 2 4 | 1  8 0 6 | 0  4 12 0  0 4 | 0  6  8 0  0  0 1 |  0  4 2 0  0  0 | * 6 *  * * | 1 0 1
xoo3oox oxo ... ...&#x   ♦ 6 2 | 6 12 6 1 | 2 12  6 6 12 0 | 4  6  0 1 12  6 0 |  2  0 0 2  6  0 | * * 6  * * | 0 2 0
xoo ... oxo3ooo ...&#x & ♦ 3 3 | 1  9 2 3 | 0  3  9 1  6 1 | 0  3  3 0  3  6 0 |  0  1 0 0  3  2 | * * * 24 * | 0 1 1
... ... oxo3ooo3ooo&#x   ♦ 2 4 | 0  8 1 6 | 0  0 12 0  4 4 | 0  0  8 0  0  6 1 |  0  0 2 0  0  4 | * * *  * 6 | 0 0 2
-------------------------+-----+----------+----------------+-------------------+-----------------+------------+------
xo.3oo. ox.3oo.3oo.&#x & ♦ 3 4 | 3 12 0 6 | 1 12 18 0  0 4 | 4 18 12 0  0  0 1 |  6 12 3 0  0  0 | 4 3 0  0 0 | 2 * *
xoo3oox oxo3ooo ...&#x   ♦ 6 3 | 6 18 6 3 | 2 18 18 6 18 1 | 6 18  6 1 18 18 0 |  6  6 0 3 18  6 | 2 0 3  6 0 | * 4 *
xoo ... oxo3ooo3ooo&#x & ♦ 3 4 | 1 12 2 6 | 0  4 18 1  8 4 | 0  6 12 0  4 12 1 |  0  4 3 0  6  8 | 0 1 0  4 2 | * * 6
```

```xoo3ooo oxo3ooo4ooo&#x   → height(1,2) = 1/sqrt(6) = 0.408248
height(1,3) = sqrt(2/3) = 0.816497
height(2,3) = 1/sqrt(2) = 0.707107

o..3o.. o..3o..4o..    | 3 * * ♦ 2  6 1  0 0 | 1 12 12 2  6 0  0 | 6 24  8 1 12 12 0 0 | 12 16 1 6 24  8 0 | 8 2 12 16 1 | 1 8 2
.o.3.o. .o.3.o.4.o.    | * 6 * ♦ 0  3 0  4 1 | 0  3 12 0  3 4  4 | 1 12 12 0  3 12 1 4 |  4 12 3 1 12 12 1 | 4 3  4 12 3 | 1 4 3
..o3..o ..o3..o4..o    | * * 1 ♦ 0  0 3  0 6 | 0  0  0 3 18 0 12 | 0  0  0 1 18 36 0 8 |  0  0 0 6 36 24 1 | 0 0 12 24 3 | 0 8 3
-----------------------+-------+-------------+-------------------+---------------------+-------------------+-------------+------
x.. ... ... ... ...    | 2 0 0 | 3  * *  * * ♦ 1  6  0 1  0 0  0 | 6 12  0 1  6  0 0 0 | 12  8 0 6 12  0 0 | 8 1 12  8 0 | 1 8 1
oo.3oo. oo.3oo.4oo.&#x | 1 1 0 | * 18 *  * * | 0  2  4 0  1 0  0 | 1  8  4 0  2  4 0 0 |  4  8 1 1  8  4 0 | 4 2  2  8 1 | 1 4 2
o.o3o.o o.o3o.o4o.o&#x | 1 0 1 | *  * 3  * * ♦ 0  0  0 2  6 0  0 | 0  0  0 1 12 12 0 0 |  0  0 0 6 24  8 0 | 0 0 12 16 1 | 0 8 2
... ... .x. ... ...    | 0 2 0 | *  * * 12 * | 0  0  3 0  0 2  1 | 0  3  6 0  0  3 1 2 |  1  6 3 0  3  6 1 | 2 3  1  6 3 | 1 2 3
.oo3.oo .oo3.oo4.oo&#x | 0 1 1 | *  * *  * 6 | 0  0  0 0  3 0  4 | 0  0  0 0  3 12 0 4 |  0  0 0 1 12 12 1 | 0 0  4 12 3 | 0 4 3
-----------------------+-------+-------------+-------------------+---------------------+-------------------+-------------+------
x..3o.. ... ... ...    | 3 0 0 | 3  0 0  0 0 | 1  *  * *  * *  * ♦ 6  0  0 1  0  0 0 0 | 12  0 0 6  0  0 0 | 8 0 12  0 0 | 1 8 0
xo. ... ... ... ...&#x | 2 1 0 | 1  2 0  0 0 | * 18  * *  * *  * | 1  4  0 0  1  0 0 0 |  4  4 0 1  4  0 0 | 4 1  4  4 0 | 1 4 1
... ... ox. ... ...&#x | 1 2 0 | 0  2 0  1 0 | *  * 36 *  * *  * | 0  2  2 0  0  1 0 0 |  1  4 1 0  2  2 0 | 2 2  1  4 1 | 1 2 2
x.o ... ... ... ...&#x | 2 0 1 | 1  0 2  0 0 | *  *  * 3  * *  * ♦ 0  0  0 1  6  0 0 0 |  0  0 0 6 12  0 0 | 0 0 12  8 0 | 0 8 1
ooo3ooo ooo3ooo4ooo&#x | 1 1 1 | 0  1 1  0 1 | *  *  * * 18 *  * | 0  0  0 0  2  4 0 0 |  0  0 0 1  8  4 0 | 0 0  4  8 1 | 0 4 2
... ... .x.3.o. ...    | 0 3 0 | 0  0 0  3 0 | *  *  * *  * 8  * | 0  0  3 0  0  0 0 1 |  0  3 3 0  0  3 1 | 1 3  0  3 3 | 1 1 3
... ... .xo ... ...&#x | 0 2 1 | 0  0 0  1 2 | *  *  * *  * * 12 | 0  0  0 0  0  3 0 2 |  0  0 0 0  3  6 1 | 0 0  1  6 3 | 0 2 3
-----------------------+-------+-------------+-------------------+---------------------+-------------------+-------------+------
xo.3oo. ... ... ...&#x ♦ 3 1 0 | 3  3 0  0 0 | 1  3  0 0  0 0  0 | 6  *  * *  *  * * * |  4  0 0 1  0  0 0 | 4 0  4  0 0 | 1 4 0
xo. ... ox. ... ...&#x ♦ 2 2 0 | 1  4 0  1 0 | 0  2  2 0  0 0  0 | * 36  * *  *  * * * |  1  2 0 0  1  0 0 | 2 1  1  2 0 | 1 2 1
... ... ox.3oo. ...&#x ♦ 1 3 0 | 0  3 0  3 0 | 0  0  3 0  0 1  0 | *  * 24 *  *  * * * |  0  2 1 0  0  1 0 | 1 2  0  2 1 | 1 1 2
x.o3o.o ... ... ...&#x ♦ 3 0 1 | 3  0 3  0 0 | 1  0  0 3  0 0  0 | *  *  * 1  *  * * * ♦  0  0 0 6  0  0 0 | 0 0 12  0 0 | 0 8 0
xoo ... ... ... ...&#x ♦ 2 1 1 | 1  2 2  0 1 | 0  1  0 1  2 0  0 | *  *  * * 18  * * * |  0  0 0 1  4  0 0 | 0 0  4  4 0 | 0 4 1
... ... oxo ... ...&#x ♦ 1 2 1 | 0  2 1  1 2 | 0  0  1 0  2 0  1 | *  *  * *  * 36 * * |  0  0 0 0  2  2 0 | 0 0  1  4 1 | 0 2 2
... ... .x.3.o.4.o.    ♦ 0 6 0 | 0  0 0 12 0 | 0  0  0 0  0 8  0 | *  *  * *  *  * 1 * ♦  0  0 3 0  0  0 1 | 0 3  0  0 3 | 1 0 3
... ... .xo3.oo ...&#x ♦ 0 3 1 | 0  0 0  3 3 | 0  0  0 0  0 1  3 | *  *  * *  *  * * 8 |  0  0 0 0  0  3 1 | 0 0  0  3 1 | 0 1 3
-----------------------+-------+-------------+-------------------+---------------------+-------------------+-------------+------
xo.3oo. ox. ... ...&#x ♦ 3 2 0 | 3  6 0  1 0 | 1  6  3 0  0 0  0 | 2  3  0 0  0  0 0 0 | 12  * * *  *  * * | 2 0  1  0 0 | 1 2 0
xo. ... ox.3oo. ...&#x ♦ 2 3 0 | 1  6 0  3 0 | 0  3  6 0  0 1  0 | 0  3  2 0  0  0 0 0 |  * 24 * *  *  * * | 1 1  0  1 0 | 1 1 1
... ... ox.3oo.4oo.&#x ♦ 1 6 0 | 0  6 0 12 0 | 0  0 12 0  0 8  0 | 0  0  8 0  0  0 1 0 |  *  * 3 *  *  * * | 0 2  0  0 1 | 1 0 2
xoo3ooo ... ... ...&#x ♦ 3 1 1 | 3  3 3  0 1 | 1  3  0 3  3 0  0 | 1  0  0 1  3  0 0 0 |  *  * * 6  *  * * | 0 0  4  0 0 | 0 4 0
xoo ... oxo ... ...&#x ♦ 2 2 1 | 1  4 2  1 2 | 0  2  2 1  4 0  1 | 0  1  0 0  2  2 0 0 |  *  * * * 36  * * | 0 0  1  2 0 | 0 2 1
... ... oxo3ooo ...&#x ♦ 1 3 1 | 0  3 1  3 3 | 0  0  3 0  3 1  3 | 0  0  1 0  0  3 0 1 |  *  * * *  * 24 * | 0 0  0  2 1 | 0 1 2
... ... .xo3.oo4.oo&#x ♦ 0 6 1 | 0  0 0 12 6 | 0  0  0 0  0 8 12 | 0  0  0 0  0  0 1 8 |  *  * * *  *  * 1 | 0 0  0  0 3 | 0 0 3
-----------------------+-------+-------------+-------------------+---------------------+-------------------+-------------+------
xo.3oo. ox.3oo. ...&#x ♦ 3 3 0 | 3  9 0  3 0 | 1  9  9 0  0 1  0 | 3  9  3 0  0  0 0 0 |  3  3 0 0  0  0 0 | 8 *  *  * * | 1 1 0
xo. ... ox.3oo.4oo.&#x ♦ 2 6 0 | 1 12 0 12 0 | 0  6 24 0  0 8  0 | 0 12 16 0  0  0 1 0 |  0  8 2 0  0  0 0 | * 3  *  * * | 1 0 1
xoo3ooo oxo ... ...&#x ♦ 3 2 1 | 3  6 3  1 2 | 1  6  3 3  6 0  1 | 2  3  0 1  6  3 0 0 |  1  0 0 2  3  0 0 | * * 12  * * | 0 2 0
xoo ... oxo3ooo ...&#x ♦ 2 3 1 | 1  6 2  3 3 | 0  3  6 1  6 1  3 | 0  3  2 0  3  6 0 1 |  0  1 0 0  3  2 0 | * *  * 24 * | 0 1 1
... ... oxo3ooo4ooo&#x ♦ 1 6 1 | 0  6 1 12 6 | 0  0 12 0  6 8 12 | 0  0  8 0  0 12 1 8 |  0  0 1 0  0  8 1 | * *  *  * 3 | 0 0 2
-----------------------+-------+-------------+-------------------+---------------------+-------------------+-------------+------
xo.3oo. ox.3oo.4oo.&#x ♦ 3 6 0 | 3 18 0 12 0 | 1 18 36 0  0 8  0 | 6 36 24 0  0  0 1 0 | 12 24 3 0  0  0 0 | 8 3  0  0 0 | 1 * *
xoo3ooo oxo3ooo ...&#x ♦ 3 3 1 | 3  9 3  3 3 | 1  9  9 3  9 1  3 | 3  9  3 1  9  9 0 1 |  3  3 0 3  9  3 0 | 1 0  3  3 0 | * 8 *
xoo ... oxo3ooo4ooo&#x ♦ 2 6 1 | 1 12 2 12 6 | 0  6 24 1 12 8 12 | 0 12 16 0  6 24 1 8 |  0  8 2 0 12 16 1 | 0 1  0  8 2 | * * 3
```

```xoo oox oxo3ooo4ooo&#x   → height(1,2) = height(2,3) = 1/2
height(1,3) = 1/sqrt(2) = 0.707107

o.. o.. o..3o..3o..    & | 4 * ♦ 1  6 2  0 |  6 12 3 12 0 | 12  8 1 18 24 0 |  8 1 6 36 16 | 1 12 24 2 | 8 3
.o. .o. .o.3.o.3.o.      | * 6 ♦ 0  4 0  4 |  2 16 0  4 4 |  8 16 0  4 16 1 |  8 4 1 16 16 | 2  4 16 4 | 4 4
-------------------------+-----+-----------+--------------+-----------------+--------------+-----------+----
x.. ... ... ... ...    & | 2 0 | 2  * *  * ♦  6  0 2  0 0 | 12  0 1 12  0 0 |  8 0 6 24  0 | 1 12 16 0 | 8 2
oo. oo. oo.3oo.3oo.&#x & | 1 1 | * 24 *  * |  1  4 0  2 0 |  4  4 0  3  8 0 |  4 1 1 12  8 | 1  4 12 2 | 4 3
o.o o.o o.o3o.o3o.o&#x   | 2 0 | *  * 4  * ♦  0  0 2  6 0 |  0  0 1 12 12 0 |  0 0 6 24  8 | 0 12 16 1 | 8 2
... ... .x. ... ...      | 0 2 | *  * * 12 |  0  4 0  0 2 |  2  8 0  0  4 1 |  4 4 0  4  8 | 2  1  8 4 | 2 4
-------------------------+-----+-----------+--------------+-----------------+--------------+-----------+----
xo. ... ... ... ...&#x & | 2 1 | 1  2 0  0 | 12  * *  * * |  4  0 0  2  0 0 |  4 0 1  8  0 | 1  4  8 0 | 4 2
... ... ox. ... ...&#x & | 1 2 | 0  2 0  1 |  * 48 *  * * |  1  2 0  0  2 0 |  2 1 0  3  4 | 1  1  6 2 | 2 3
x.o ... ... ... ...&#x & | 3 0 | 1  0 2  0 |  *  * 4  * * ♦  0  0 1  6  0 0 |  0 0 6 12  0 | 0 12  8 0 | 8 1
ooo ooo ooo3ooo3ooo&#x   | 2 1 | 0  2 1  0 |  *  * * 24 * |  0  0 0  2  4 0 |  0 0 1  8  4 | 0  4  8 1 | 4 2
... ... .x.3.o. ...      | 0 3 | 0  0 0  3 |  *  * *  * 8 |  0  4 0  0  0 1 |  2 4 0  0  4 | 2  0  4 4 | 1 4
-------------------------+-----+-----------+--------------+-----------------+--------------+-----------+----
xo. ... ox. ... ...&#x & ♦ 2 2 | 1  4 0  1 |  2  2 0  0 0 | 24  * *  *  * * |  2 0 0  2  0 | 1  1  4 0 | 2 2
... ... ox.3oo. ...&#x & ♦ 1 3 | 0  3 0  3 |  0  3 0  0 1 |  * 32 *  *  * * |  1 1 0  0  2 | 1  0  3 2 | 1 3
x.o o.x ... ... ...&#x   ♦ 4 0 | 2  0 4  0 |  0  0 4  0 0 |  *  * 1  *  * * ♦  0 0 6  0  0 | 0 12  0 0 | 8 0
xoo ... ... ... ...&#x & ♦ 3 1 | 1  3 2  0 |  1  0 1  2 0 |  *  * * 24  * * |  0 0 1  4  0 | 0  4  4 0 | 4 1
... ... oxo ... ...&#x   ♦ 2 2 | 0  4 1  1 |  0  2 0  2 0 |  *  * *  * 48 * |  0 0 0  2  2 | 0  1  4 1 | 2 2
... ... .x.3.o.4.o.      ♦ 0 6 | 0  0 0 12 |  0  0 0  0 8 |  *  * *  *  * 1 |  0 4 0  0  0 | 2  0  0 4 | 0 4
-------------------------+-----+-----------+--------------+-----------------+--------------+-----------+----
xo. ... ox.3oo. ...&#x & ♦ 2 3 | 1  6 0  3 |  3  6 0  0 1 |  3  2 0  0  0 0 | 16 * *  *  * | 1  0  2 0 | 1 2
... ... ox.3oo.4oo.&#x & ♦ 1 6 | 0  6 0 12 |  0 12 0  0 8 |  0  8 0  0  0 1 |  * 4 *  *  * | 1  0  0 2 | 0 3
xoo oox ... ... ...&#x   ♦ 4 1 | 2  4 4  0 |  2  0 4  4 0 |  0  0 1  4  0 0 |  * * 6  *  * | 0  4  0 0 | 4 0
xoo ... oxo ... ...&#x & ♦ 3 2 | 1  6 2  1 |  2  3 1  4 0 |  1  0 0  2  2 0 |  * * * 48  * | 0  1  2 0 | 2 1
... ... oxo3ooo ...&#x   ♦ 2 3 | 0  6 1  3 |  0  6 0  3 1 |  0  2 0  0  3 0 |  * * *  * 32 | 0  0  2 1 | 1 2
-------------------------+-----+-----------+--------------+-----------------+--------------+-----------+----
xo. ... ox.3oo.4oo.&#x & ♦ 2 6 | 1 12 0 12 |  6 24 0  0 8 | 12 16 0  0  0 1 |  8 2 0  0  0 | 2  *  * * | 0 2
xoo oox oxo ... ...&#x   ♦ 4 2 | 2  8 4  1 |  4  4 4  8 0 |  2  0 1  8  4 0 |  0 0 2  4  0 | * 12  * * | 2 0
xoo ... oxo3ooo ...&#x & ♦ 3 3 | 1  9 2  3 |  3  9 1  6 1 |  3  3 0  3  6 0 |  1 0 0  3  2 | *  * 32 * | 1 1
... ... oxo3ooo4ooo&#x   ♦ 2 6 | 0 12 1 12 |  0 24 0  6 8 |  0 16 0  0 12 1 |  0 2 0  0  8 | *  *  * 4 | 0 2
-------------------------+-----+-----------+--------------+-----------------+--------------+-----------+----
xoo oox oxo3ooo ...&#x   ♦ 4 3 | 2 12 4  3 |  6 12 4 12 1 |  6  4 1 12 12 0 |  2 0 3 12  4 | 0  3  4 0 | 8 *
xoo ... oxo3ooo4ooo&#x & ♦ 3 6 | 1 18 2 12 |  6 36 1 12 8 | 12 24 0  6 24 1 |  8 3 0 12 16 | 1  0  8 2 | * 4
```