Acronym gee (old: xic) Name hexacontitetrapeton,hexacross (β6),aeropeton,hexateral antiprism Circumradius 1/sqrt(2) = 0.707107 Inradius 1/sqrt(12) = 0.288675 Coordinates (1/sqrt(2), 0, 0, 0, 0, 0)   & all permutations, all changes of sign Dual ax Confer general polytopal classes: orthoplex Externallinks

Incidence matrix according to Dynkin symbol

```x3o3o3o3o4o

. . . . . . | 12 ♦ 10 |  40 |  80 |  80 | 32
------------+----+----+-----+-----+-----+---
x . . . . . |  2 | 60 ♦   8 |  24 |  32 | 16
------------+----+----+-----+-----+-----+---
x3o . . . . |  3 |  3 | 160 ♦   6 |  12 |  8
------------+----+----+-----+-----+-----+---
x3o3o . . . ♦  4 |  6 |   4 | 240 |   4 |  4
------------+----+----+-----+-----+-----+---
x3o3o3o . . ♦  5 | 10 |  10 |   5 | 192 |  2
------------+----+----+-----+-----+-----+---
x3o3o3o3o . ♦  6 | 15 |  20 |  15 |   6 | 64
```

```o3o3o *b3o3o3x

. . .    . . . | 12 ♦ 10 |  40 |  80 |  80 | 16 16
---------------+----+----+-----+-----+-----+------
. . .    . . x |  2 | 60 ♦   8 |  24 |  32 |  8  8
---------------+----+----+-----+-----+-----+------
. . .    . o3x |  3 |  3 | 160 ♦   6 |  12 |  4  4
---------------+----+----+-----+-----+-----+------
. . .    o3o3x ♦  4 |  6 |   4 | 240 |   4 |  2  2
---------------+----+----+-----+-----+-----+------
. o . *b3o3o3x ♦  5 | 10 |  10 |   5 | 192 |  1  1
---------------+----+----+-----+-----+-----+------
o3o . *b3o3o3x ♦  6 | 15 |  20 |  15 |   6 | 32  *
. o3o *b3o3o3x ♦  6 | 15 |  20 |  15 |   6 |  * 32
```

```xo3oo3oo3oo3ox&#x   → height = 1/sqrt(3) = 0.577350
(hix || inv hix)

o.3o.3o.3o.3o.     & | 12 ♦  5  5 | 10  30 | 10  40 30 |  5 25  50 | 1  6 15 10
---------------------+----+-------+--------+-----------+-----------+-----------
x. .. .. .. ..     & |  2 | 30  * ♦  4   4 |  6  12  6 |  4 12  16 | 1  4  7  4
oo3oo3oo3oo3oo&#x    |  2 |  * 30 ♦  0   8 |  0  12 12 |  0  8  24 | 0  2  8  6
---------------------+----+-------+--------+-----------+-----------+-----------
x.3o. .. .. ..     & |  3 |  3  0 | 40   * ♦  3   3  0 |  3  6   3 | 1  3  3  1
xo .. .. .. ..&#x  & |  3 |  1  2 |  * 120 ♦  0   3  3 |  0  3   9 | 0  1  4  3
---------------------+----+-------+--------+-----------+-----------+-----------
x.3o.3o. .. ..     & ♦  4 |  6  0 |  4   0 | 30   *  * |  2  2   0 | 1  2  1  0
xo3oo .. .. ..&#x  & ♦  4 |  3  3 |  1   3 |  * 120  * |  0  2   2 | 0  1  2  1
xo .. .. .. ox&      ♦  4 |  2  4 |  0   4 |  *   * 90 |  0  0   4 | 0  0  2  2
---------------------+----+-------+--------+-----------+-----------+-----------
x.3o.3o.3o. ..     & ♦  5 | 10  0 | 10   0 |  5   0  0 | 12  *   * | 1  1  0  0
xo3oo3oo .. ..&#x  & ♦  5 |  6  4 |  4   6 |  1   4  0 |  * 60   * | 0  1  1  0
xo3oo .. .. ox&#x  & ♦  5 |  4  6 |  1   9 |  0   2  3 |  *  * 120 | 0  0  1  1
---------------------+----+-------+--------+-----------+-----------+-----------
x.3o.3o.3o.3o.     & ♦  6 | 15  0 | 20   0 | 15   0  0 |  6  0   0 | 2  *  *  *
xo3oo3oo3oo ..&#x  & ♦  6 | 10  5 | 10  10 |  5  10  0 |  1  5   0 | * 12  *  *
xo3oo3oo .. ox&#x  & ♦  6 |  7  8 |  4  16 |  1   8  6 |  0  2   4 | *  * 30  *
xo3oo .. oo3ox&#x    ♦  6 |  6  9 |  2  18 |  0   6  9 |  0  0   6 | *  *  * 20
```

```oxo3ooo3ooo3ooo4ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(pt || pseudo tac || pt)

o..3o..3o..3o..4o..     & | 2  * ♦ 10  0 | 40  0 |  80  0 |  80  0 | 32
.o.3.o.3.o.3.o.4.o.       | * 10 ♦  2  8 | 16 24 |  48 32 |  64 16 | 32
--------------------------+------+-------+-------+--------+--------+---
oo.3oo.3oo.3oo.4oo.&#x  & | 1  1 | 20  * ♦  8  0 |  24  0 |  32  0 | 16
.x. ... ... ... ...       | 0  2 |  * 40 ♦  2  6 |  12 12 |  24  8 | 16
--------------------------+------+-------+-------+--------+--------+---
ox. ... ... ... ...&#x  & | 1  2 |  2  1 | 80  * ♦   6  0 |  12  0 |  8
.x.3.o. ... ... ...       | 0  3 |  0  3 |  * 80 ♦   2  4 |   8  4 |  8
--------------------------+------+-------+-------+--------+--------+---
ox.3oo. ... ... ...&#x  & ♦ 1  3 |  3  3 |  3  1 | 160  * |   4  0 |  4
.x.3.o.3.o. ... ...       ♦ 0  4 |  0  6 |  0  4 |   * 80 |   2  2 |  4
--------------------------+------+-------+-------+--------+--------+---
ox.3oo.3oo. ... ...&#x  & ♦ 1  4 |  4  6 |  6  4 |   4  1 | 160  * |  2
.x.3.o.3.o.3.o. ...       ♦ 0  5 |  0 10 |  0 10 |   0  5 |   * 32 |  2
--------------------------+------+-------+-------+--------+--------+---
ox.3oo.3oo.3oo. ...&#x  & ♦ 1  5 |  5 10 | 10 10 |  10  5 |   5  1 | 64
```

```ooo3ooo3ooo *b3ooo3oxo&#xt   → both heights = 1/sqrt(2) = 0.707107
(pt || pseudo tac || pt)

o..3o..3o.. *b3o..3o..     & | 2  * ♦ 10  0 | 40  0 |  80  0 |  80  0  0 | 16 16
.o.3.o.3.o. *b3.o.3.o.       | * 10 ♦  2  8 | 16 24 |  48 32 |  64  8  8 | 16 16
-----------------------------+------+-------+-------+--------+-----------+------
oo.3oo.3oo. *b3oo.3oo.&#x  & | 1  1 | 20  * ♦  8  0 |  24  0 |  32  0  0 |  8  8
... ... ...    ... .x.       | 0  2 |  * 40 ♦  2  6 |  12 12 |  24  4  4 |  8  8
-----------------------------+------+-------+-------+--------+-----------+------
... ... ...    ... ox.&#x  & | 1  2 |  2  1 | 80  * ♦   6  0 |  12  0  0 |  4  4
... ... ...    .o.3.x.       | 0  3 |  0  3 |  * 80 ♦   2  4 |   8  2  2 |  4  4
-----------------------------+------+-------+-------+--------+-----------+------
... ... ...    oo.3ox.&#x  & ♦ 1  3 |  3  3 |  3  1 | 160  * |   4  0  0 |  2  2
... .o. ... *b3.o.3.x.       ♦ 0  4 |  0  6 |  0  4 |   * 80 |   2  1  1 |  2  2
-----------------------------+------+-------+-------+--------+-----------+------
... oo. ... *b3oo.3ox.&#x  & ♦ 1  4 |  4  6 |  6  4 |   4  1 | 160  *  * |  1  1
.o.3.o. ... *b3.o.3.x.       ♦ 0  5 |  0 10 |  0 10 |   0  5 |   * 16  * |  2  0
... .o.3.o. *b3.o.3.x.       ♦ 0  5 |  0 10 |  0 10 |   0  5 |   *  * 16 |  0  2
-----------------------------+------+-------+-------+--------+-----------+------
oo.3oo. ... *b3oo.3ox.&#x  & ♦ 1  5 |  5 10 | 10 10 |  10  5 |   5  1  0 | 32  *
... oo.3oo. *b3oo.3ox.&#x  & ♦ 1  5 |  5 10 | 10 10 |  10  5 |   5  0  1 |  * 32
```

```xox oxo3ooo3ooo4ooo&#xt   → both heights = 1/2
(line || pseudo ortho hex || line)

o.. o..3o..3o..4o..     & | 4 * ♦ 1  8 1  0 |  8 24  8  0 | 24  32 24  0 | 32 16 32 | 16 16
.o. .o.3.o.3.o.4.o.       | * 8 ♦ 0  4 0  6 |  2 24  2 12 | 12  48 12  8 | 24 32 24 | 16 16
--------------------------+-----+-----------+-------------+--------------+----------+------
x.. ... ... ... ...     & | 2 0 | 2  * *  * ♦  8  0  0  0 | 24   0  0  0 | 32  0  0 | 16  0
oo. oo.3oo.3oo.4oo.&#x  & | 1 1 | * 32 *  * ♦  1  6  1  0 |  6  12  6  0 | 12  8 12 |  8  8
o.o o.o3o.o3o.o4o.o&#x    | 2 0 | *  * 2  * ♦  0  0  8  0 |  0   0 24  0 |  0  0 32 |  0 16
... .x. ... ... ...       | 0 2 | *  * * 24 ♦  0  4  0  4 |  2  16  2  4 |  8 16  8 |  8  8
--------------------------+-----+-----------+-------------+--------------+----------+------
xo. ... ... ... ...&#x  & | 2 1 | 1  2 0  0 | 16  *  *  * ♦  8   0  0  0 | 12  0  0 |  8  0
... ox. ... ... ...&#x  & | 1 2 | 0  2 0  1 |  * 96  *  * ♦  1   4  1  0 |  4  4  4 |  4  4
ooo ooo3ooo3ooo4ooo&#x    | 2 1 | 0  2 1  0 |  *  * 16  * ♦  0   0  6  0 |  0  0 12 |  0  8
... .x.3.o. ... ...       | 0 3 | 0  0 0  3 |  *  *  * 32 ♦  0   4  0  2 |  2  8  2 |  4  4
--------------------------+-----+-----------+-------------+--------------+----------+------
xo. ox. ... ... ...&#x  & ♦ 2 2 | 1  4 0  1 |  2  2  0  0 | 48   *  *  * |  4  0  0 |  4  0
... ox.3oo. ... ...&#x  & ♦ 1 3 | 0  3 0  3 |  0  3  0  1 |  * 128  *  * |  1  2  1 |  2  2
... oxo ... ... ...&#x    ♦ 2 2 | 0  4 1  1 |  0  2  2  0 |  *   * 48  * |  0  0  4 |  0  4
... .x.3.o.3.o. ...       ♦ 0 4 | 0  0 0  6 |  0  0  0  4 |  *   *  * 16 |  0  4  0 |  2  2
--------------------------+-----+-----------+-------------+--------------+----------+------
xo. ox.3oo. ... ...&#x  & ♦ 2 3 | 1  6 0  3 |  3  6  0  1 |  3   2  0  0 | 64  *  * |  2  0
... ox.3oo.3oo. ...&#x  & ♦ 1 4 | 0  4 0  6 |  0  6  0  4 |  0   4  0  1 |  * 64  * |  1  1
... oxo3ooo ... ...&#x    ♦ 2 3 | 0  6 1  3 |  0  6  3  1 |  0   2  3  0 |  *  * 64 |  0  2
--------------------------+-----+-----------+-------------+--------------+----------+------
xo. ox.3oo.3oo. ...&#x  & ♦ 2 4 | 1  8 0  6 |  4 12  0  4 |  6   8  0  1 |  4  2  0 | 32  *
... oxo3ooo3ooo ...&#x    ♦ 2 4 | 0  8 1  6 |  0 12  4  4 |  0   8  6  1 |  0  2  4 |  * 32
```

```ooo3ooo3ooo *b3oxo xox&#xt   → both heights = 1/2
(line || pseudo ortho hex || line)

o..3o..3o.. *b3o.. o..     & | 4 * ♦ 1  8 1  0 | 24  8  8  0 |  32 24 24 0 0 |  8  8 32 32 |  8  8  8  8
.o.3.o.3.o. *b3.o. .o.       | * 8 ♦ 0  4 0  6 | 24  2  2 12 |  48 12 12 4 4 | 16 16 24 24 |  8  8  8  8
-----------------------------+-----+-----------+-------------+---------------+-------------+------------
... ... ...    ... x..     & | 2 0 | 2  * *  * ♦  0  8  0  0 |   0 24  0 0 0 |  0  0 32  0 |  8  8  0  0
oo.3oo.3oo. *b3oo. oo.&#x  & | 1 1 | * 32 *  * ♦  6  1  1  0 |  12  6  6 0 0 |  4  4 12 12 |  4  4  4  4
o.o3o.o3o.o *b3o.o o.o&#x    | 2 0 | *  * 2  * ♦  0  0  8  0 |   0  0 24 0 0 |  0  0  0 32 |  0  0  8  8
... ... ...    .x. ...       | 0 2 | *  * * 24 ♦  4  0  0  4 |  16  2  2 2 2 |  8  8  8  8 |  4  4  4  4
-----------------------------+-----+-----------+-------------+---------------+-------------+------------
... ... ...    ox. ...&#x  & | 1 2 | 0  2 0  1 | 96  *  *  * ♦   4  1  1 0 0 |  2  2  4  4 |  2  2  2  2
... ... ...    ... xo.&#x  & | 2 1 | 1  2 0  0 |  * 16  *  * ♦   0  6  0 0 0 |  0  0 12  0 |  4  4  0  0
ooo3ooo3ooo *b3ooo ooo&#x    | 2 1 | 0  2 1  0 |  *  * 16  * ♦   0  0  6 0 0 |  0  0  0 12 |  0  0  4  4
... .o. ... *b3.x. ...       | 0 3 | 0  0 0  3 |  *  *  * 32 ♦   4  0  0 1 1 |  4  4  2  2 |  2  2  2  2
-----------------------------+-----+-----------+-------------+---------------+-------------+------------
... oo. ... *b3ox. ...&#x  & ♦ 1 3 | 0  3 0  3 |  3  0  0  1 | 128  *  * * * |  1  1  1  1 |  1  1  1  1
... ... ...    ox. xo.&#x  & ♦ 2 2 | 1  4 0  1 |  2  2  0  0 |   * 48  * * * |  0  0  4  0 |  2  2  0  0
... ... ...    oxo ...&#x  & ♦ 2 2 | 0  4 1  1 |  2  0  2  0 |   *  * 48 * * |  0  0  0  4 |  0  0  2  2
.o.3.o. ... *b3.x. ...       ♦ 0 4 | 0  0 0  6 |  0  0  0  4 |   *  *  * 8 * |  4  0  0  0 |  2  0  2  0
... .o.3.o. *b3.x. ...       ♦ 0 4 | 0  0 0  6 |  0  0  0  4 |   *  *  * * 8 |  0  4  0  0 |  0  2  0  2
-----------------------------+-----+-----------+-------------+---------------+-------------+------------
oo.3oo. ... *b3ox. ...&#x  & ♦ 1 4 | 0  4 0  6 |  6  0  0  4 |   4  0  0 1 0 | 32  *  *  * |  1  0  1  0
... oo.3oo. *b3ox. ...&#x  & ♦ 1 4 | 0  4 0  6 |  6  0  0  4 |   4  0  0 0 1 |  * 32  *  * |  0  1  0  1
... oo. ... *b3ox. xo.&#x  & ♦ 2 3 | 1  6 0  3 |  6  3  0  1 |   2  3  0 0 0 |  *  * 64  * |  1  1  0  0
... ooo ... *b3oxo ...&#x  & ♦ 2 3 | 0  6 1  3 |  6  0  3  1 |   2  0  3 0 0 |  *  *  * 64 |  0  0  1  1
-----------------------------+-----+-----------+-------------+---------------+-------------+------------
oo.3oo. ... *b3ox. xo.&#x  & ♦ 2 4 | 1  8 0  6 | 12  4  0  4 |   8  6  0 1 0 |  2  0  4  0 | 16  *  *  *
... oo.3oo. *b3ox. xo.&#x  & ♦ 2 4 | 1  8 0  6 | 12  4  0  4 |   8  6  0 0 1 |  0  2  4  0 |  * 16  *  *
ooo3ooo ... *b3oxo ...&#x  & ♦ 2 4 | 0  8 1  6 | 12  0  4  4 |   8  0  6 1 0 |  2  0  0  4 |  *  * 16  *
... ooo3ooo *b3oxo ...&#x  & ♦ 2 4 | 0  8 1  6 | 12  0  4  4 |   8  0  6 0 1 |  0  2  0  4 |  *  *  * 16
```

```xoo3oox oxo3ooo4ooo&#xt   → both heights = 1/sqrt(6) = 0.408248
({3} || pseudo ortho oct || dual {3})

o..3o.. o..3o..4o..     & | 6 * ♦ 2  6 2  0 | 1 12 12 3 12 0 |  6 24  8 18 24 | 12 16 36 16 |  8 24
.o.3.o. .o.3.o.4.o.       | * 6 ♦ 0  6 0  4 | 0  6 24 0  6 4 |  2 24 24  6 24 |  8 24 24 24 |  8 24
--------------------------+-----+-----------+----------------+----------------+-------------+------
x.. ... ... ... ...     & | 2 0 | 6  * *  * ♦ 1  6  0 1  0 0 |  6 12  0  6  0 | 12  8 12  0 |  8  8
oo.3oo. oo.3oo.4oo.&#x  & | 1 1 | * 36 *  * ♦ 0  2  4 0  2 0 |  1  8  4  3  8 |  4  8 12  8 |  4 12
o.o3o.o o.o3o.o4o.o&#x    | 2 0 | *  * 6  * ♦ 0  0  0 2  6 0 |  0  0  0 12 12 |  0  0 24  8 |  0 16
... ... .x. ... ...       | 0 2 | *  * * 12 ♦ 0  0  6 0  0 2 |  0  6 12  0  6 |  2 12  6 12 |  4 12
--------------------------+-----+-----------+----------------+----------------+-------------+------
x..3o.. ... ... ...     & | 3 0 | 3  0 0  0 | 2  *  * *  * * ♦  6  0  0  0  0 | 12  0  0  0 |  8  0
xo. ... ... ... ...&#x  & | 2 1 | 1  2 0  0 | * 36  * *  * * ♦  1  4  0  1  0 |  4  4  4  0 |  4  4
... ... ox. ... ...&#x  & | 1 2 | 0  2 0  1 | *  * 72 *  * * ♦  0  2  2  0  2 |  1  4  3  4 |  2  6
x.o ... ... ... ...&#x  & | 3 0 | 1  0 2  0 | *  *  * 6  * * ♦  0  0  0  6  0 |  0  0 12  0 |  0  8
ooo3ooo ooo3ooo4ooo&#x    | 2 1 | 0  2 1  0 | *  *  * * 36 * ♦  0  0  0  2  4 |  0  0  8  4 |  0  8
... ... .x.3.o. ...       | 0 3 | 0  0 0  3 | *  *  * *  * 8 ♦  0  0  6  0  0 |  0  6  0  6 |  2  6
--------------------------+-----+-----------+----------------+----------------+-------------+------
xo.3oo. ... ... ...&#x  & ♦ 3 1 | 3  3 0  0 | 1  3  0 0  0 0 | 12  *  *  *  * |  4  0  0  0 |  4  0
xo. ... ox. ... ...&#x  & ♦ 2 2 | 1  4 0  1 | 0  2  2 0  0 0 |  * 72  *  *  * |  1  2  1  0 |  2  2
... ... ox.3oo. ...&#x  & ♦ 1 3 | 0  3 0  3 | 0  0  3 0  0 1 |  *  * 48  *  * |  0  2  0  2 |  1  3
xoo ... ... ... ...&#x  & ♦ 3 1 | 1  3 2  0 | 0  1  0 1  2 0 |  *  *  * 36  * |  0  0  4  0 |  0  4
... ... oxo ... ...&#x    ♦ 2 2 | 0  4 1  1 | 0  0  2 0  2 0 |  *  *  *  * 72 |  0  0  2  2 |  0  4
--------------------------+-----+-----------+----------------+----------------+-------------+------
xo.3oo. ox. ... ...&#x  & ♦ 3 2 | 3  6 0  1 | 1  6  3 0  0 0 |  2  3  0  0  0 | 24  *  *  * |  2  0
xo. ... ox.3oo. ...&#x  & ♦ 2 3 | 1  6 0  3 | 0  3  6 0  0 1 |  0  3  2  0  0 |  * 48  *  * |  1  1
xoo ... oxo ... ...&#x  & ♦ 3 2 | 1  6 2  1 | 0  2  3 1  4 0 |  0  1  0  2  2 |  *  * 72  * |  0  2
... ... oxo3ooo ...&#x    ♦ 2 3 | 0  6 1  3 | 0  0  6 0  3 1 |  0  0  2  0  3 |  *  *  * 48 |  0  2
--------------------------+-----+-----------+----------------+----------------+-------------+------
xo.3oo. ox.3oo. ...&#x  & ♦ 3 3 | 3  9 0  3 | 1  9  9 0  0 1 |  3  9  3  0  0 |  3  3  0  0 | 16  *
xoo ... oxo3ooo ...&#x    ♦ 3 3 | 1  9 2  3 | 0  3  9 1  6 1 |  0  3  3  3  6 |  0  1  3  2 |  * 48
```

```xoo3oox ooo3oxo3ooo&#xt   → both heights = 1/sqrt(6) = 0.408248
({3} || pseudo ortho oct || dual {3})

o..3o.. o..3o..3o..     & | 6 * ♦ 2  6 2  0 | 1 12 12 3 12 0 0 |  6 24  4  4 18 24 | 12  8  8 36  8  8 | 4 4 12 12
.o.3.o. .o.3.o.3.o.       | * 6 ♦ 0  6 0  4 | 0  6 24 0  6 2 2 |  2 24 12 12  6 24 |  8 12 12 24 12 12 | 4 4 12 12
--------------------------+-----+-----------+------------------+-------------------+-------------------+----------
x.. ... ... ... ...     & | 2 0 | 6  * *  * ♦ 1  6  0 1  0 0 0 |  6 12  0  0  6  0 | 12  4  4 12  0  0 | 4 4  4  4
oo.3oo. oo.3oo.3oo.&#x  & | 1 1 | * 36 *  * ♦ 0  2  4 0  2 0 0 |  1  8  2  2  3  8 |  4  4  4 12  4  4 | 2 2  6  6
o.o3o.o o.o3o.o3o.o&#x    | 2 0 | *  * 6  * ♦ 0  0  0 2  6 0 0 |  0  0  0  0 12 12 |  0  0  0 24  4  4 | 0 0  8  8
... ... ... .x. ...       | 0 2 | *  * * 12 ♦ 0  0  6 0  0 1 1 |  0  6  6  6  0  6 |  2  6  6  6  6  6 | 2 2  6  6
--------------------------+-----+-----------+------------------+-------------------+-------------------+----------
x..3o.. ... ... ...     & | 3 0 | 3  0 0  0 | 2  *  * *  * * * ♦  6  0  0  0  0  0 | 12  0  0  0  0  0 | 4 4  0  0
xo. ... ... ... ...&#x  & | 2 1 | 1  2 0  0 | * 36  * *  * * * ♦  1  4  0  0  1  0 |  4  2  2  4  0  0 | 2 2  2  2
... ... ... ox. ...&#x  & | 1 2 | 0  2 0  1 | *  * 72 *  * * * ♦  0  2  1  1  0  2 |  1  2  2  3  2  2 | 1 1  3  3
x.o ... ... ... ...&#x  & | 3 0 | 1  0 2  0 | *  *  * 6  * * * ♦  0  0  0  0  6  0 |  0  0  0 12  0  0 | 0 0  4  4
ooo3ooo ooo3ooo3ooo&#x    | 2 1 | 0  2 1  0 | *  *  * * 36 * * ♦  0  0  0  0  2  4 |  0  0  0  8  2  2 | 0 0  4  4
... ... .o.3.x. ...       | 0 3 | 0  0 0  3 | *  *  * *  * 4 * ♦  0  0  6  0  0  0 |  0  6  0  0  6  0 | 2 0  6  0
... ... ... .x.3.o.       | 0 3 | 0  0 0  3 | *  *  * *  * * 4 ♦  0  0  0  6  0  0 |  0  0  6  0  0  6 | 0 2  0  6
--------------------------+-----+-----------+------------------+-------------------+-------------------+----------
xo.3oo. ... ... ...&#x  & ♦ 3 1 | 3  3 0  0 | 1  3  0 0  0 0 0 | 12  *  *  *  *  * |  4  0  0  0  0  0 | 2 2  0  0
xo. ... ... ox. ...&#x  & ♦ 2 2 | 1  4 0  1 | 0  2  2 0  0 0 0 |  * 72  *  *  *  * |  1  1  1  1  0  0 | 1 1  1  1
... ... oo.3ox. ...&#x  & ♦ 1 3 | 0  3 0  3 | 0  0  3 0  0 1 0 |  *  * 24  *  *  * |  0  2  0  0  2  0 | 1 0  3  0
... ... ... ox.3oo.&#x  & ♦ 1 3 | 0  3 0  3 | 0  0  3 0  0 0 1 |  *  *  * 24  *  * |  0  0  2  0  0  2 | 0 1  0  3
xoo ... ... ... ...&#x  & ♦ 3 1 | 1  3 2  0 | 0  1  0 1  2 0 0 |  *  *  *  * 36  * |  0  0  0  4  0  0 | 0 0  2  2
... ... ... oxo ...&#x    ♦ 2 2 | 0  4 1  1 | 0  0  2 0  2 0 0 |  *  *  *  *  * 72 |  0  0  0  2  1  1 | 0 0  2  2
--------------------------+-----+-----------+------------------+-------------------+-------------------+----------
xo.3oo. ... ox. ...&#x  & ♦ 3 2 | 3  6 0  1 | 1  6  3 0  0 0 0 |  2  3  0  0  0  0 | 24  *  *  *  *  * | 1 1  0  0
xo. ... oo.3ox. ...&#x  & ♦ 2 3 | 1  6 0  3 | 0  3  6 0  0 1 0 |  0  3  2  0  0  0 |  * 24  *  *  *  * | 1 0  1  0
xo. ... ... ox.3oo.&#x  & ♦ 2 3 | 1  6 0  3 | 0  3  6 0  0 0 1 |  0  3  0  2  0  0 |  *  * 24  *  *  * | 0 1  0  1
xoo ... ... oxo ...&#x  & ♦ 3 2 | 1  6 2  1 | 0  2  3 1  4 0 0 |  0  1  0  0  2  2 |  *  *  * 72  *  * | 0 0  1  1
... ... ooo3oxo ...&#x    ♦ 2 3 | 0  6 1  3 | 0  0  6 0  3 1 0 |  0  0  2  0  0  3 |  *  *  *  * 24  * | 0 0  2  0
... ... ... oxo3ooo&#x    ♦ 2 3 | 0  6 1  3 | 0  0  6 0  3 0 1 |  0  0  0  2  0  3 |  *  *  *  *  * 24 | 0 0  0  2
--------------------------+-----+-----------+------------------+-------------------+-------------------+----------
xo.3oo. oo.3ox. ...&#x  & ♦ 3 3 | 3  9 0  3 | 1  9  9 0  0 1 0 |  3  9  3  0  0  0 |  3  3  0  0  0  0 | 8 *  *  *
xo.3oo. ... ox.3oo.&#x  & ♦ 3 3 | 3  9 0  3 | 1  9  9 0  0 0 1 |  3  9  0  3  0  0 |  3  0  3  0  0  0 | * 8  *  *
xoo ... ooo3oxo ...&#x  & ♦ 3 3 | 1  9 2  3 | 0  3  9 1  6 1 0 |  0  3  3  0  3  6 |  0  1  0  3  2  0 | * * 24  *
xoo ... ... oxo3ooo&#x  & ♦ 3 3 | 1  9 2  3 | 0  3  9 1  6 0 1 |  0  3  0  3  3  6 |  0  0  1  3  0  2 | * *  * 24
```

```oxoo3oooo3oooo3ooox&#xr   → all heights = sqrt(3/5) = 0.774597
(pt || (pseudo pen || pseudo inv pen) || pt)
o...3o...3o...3o...     & | 2  * ♦  5  5  0  0 | 10 10 20  0  0 | 10 10 30 30  0  0  0 |  5  5 20 30 20 0  0  0 | 1 1  5 10 10  5
.o..3.o..3.o..3.o..     & | * 10 ♦  1  1  4  4 |  4  4  8  6 18 |  6  6 18 18  4 16 12 |  4  4 16 24 16 1  5 10 | 1 1  5 10 10  5
--------------------------+------+-------------+----------------+----------------------+------------------------+----------------
oo..3oo..3oo..3oo..&#x  & | 1  1 | 10  *  *  * ♦  4  0  4  0  0 |  6  0 12  6  0  0  0 |  4  0 12 12  4 0  0  0 | 1 0  4  6  4  1
o.o.3o.o.3o.o.3o.o.&#x  & | 1  1 |  * 10  *  * ♦  0  4  4  0  0 |  0  6  6 12  0  0  0 |  0  4  4 12 12 0  0  0 | 0 1  1  4  6  4
.x.. .... .... ....     & | 0  2 |  *  * 20  * ♦  1  1  0  3  3 |  3  3  3  3  3  6  3 |  3  3  6  6  6 1  3  4 | 1 1  3  4  4  3
.oo.3.oo.3.oo.3.oo.&#x    | 0  2 |  *  *  * 20 ♦  0  0  2  0  6 |  0  0  6  6  0  6  6 |  0  0  6 12  6 0  2  6 | 0 0  2  6  6  2
--------------------------+------+-------------+----------------+----------------------+------------------------+----------------
ox.. .... .... ....&#x  & | 1  2 |  2  0  1  0 | 20  *  *  *  * ♦  3  0  3  0  0  0  0 |  3  0  6  3  0 0  0  0 | 1 0  3  3  1  0
.... .... .... o.x.&#x  & | 1  2 |  0  2  1  0 |  * 20  *  *  * ♦  0  3  0  3  0  0  0 |  0  3  0  3  6 0  0  0 | 0 1  0  1  3  3
ooo.3ooo.3ooo.3ooo.&#x  & | 1  2 |  1  1  0  1 |  *  * 40  *  * ♦  0  0  3  3  0  0  0 |  0  0  3  6  3 0  0  0 | 0 0  1  3  3  1
.x..3.o.. .... ....     & | 0  3 |  0  0  3  0 |  *  *  * 20  * ♦  1  1  0  0  2  2  0 |  2  2  2  0  2 1  2  1 | 1 1  2  1  1  2
.xo. .... .... ....&#x  & | 0  3 |  0  0  1  2 |  *  *  *  * 60 ♦  0  0  1  1  0  2  2 |  0  0  2  4  2 0  1  3 | 0 0  1  3  3  1
--------------------------+------+-------------+----------------+----------------------+------------------------+----------------
ox..3oo.. .... ....&#x  & ♦ 1  3 |  3  0  3  0 |  3  0  0  1  0 | 20  *  *  *  *  *  * |  2  0  2  0  0 0  0  0 | 1 0  2  1  0  0
.... .... o.o.3o.x.&#x  & ♦ 1  3 |  0  3  3  0 |  0  3  0  1  0 |  * 20  *  *  *  *  * |  0  2  0  0  2 0  0  0 | 0 1  0  0  1  2
oxo. .... .... ....&#x  & ♦ 1  3 |  2  1  1  2 |  1  0  2  0  1 |  *  * 60  *  *  *  * |  0  0  2  2  0 0  0  0 | 0 0  1  2  1  0
.... .... .... oox.&#x  & ♦ 1  3 |  1  2  1  2 |  0  1  2  0  1 |  *  *  * 60  *  *  * |  0  0  0  2  2 0  0  0 | 0 0  0  1  2  1
.x..3.o..3.o.. ....     & ♦ 0  4 |  0  0  6  0 |  0  0  0  4  0 |  *  *  *  * 10  *  * |  1  1  0  0  0 1  1  0 | 1 1  1  0  0  1
.xo.3.oo. .... ....&#x  & ♦ 0  4 |  0  0  3  3 |  0  0  0  1  3 |  *  *  *  *  * 40  * |  0  0  1  0  1 0  1  1 | 0 0  1  1  1  1
.xo. .... .... .ox.&#x    ♦ 0  4 |  0  0  2  4 |  0  0  0  0  4 |  *  *  *  *  *  * 30 |  0  0  0  2  0 0  0  2 | 0 0  0  2  2  0
--------------------------+------+-------------+----------------+----------------------+------------------------+----------------
ox..3oo..3oo.. ....&#x  & ♦ 1  4 |  4  0  6  0 |  6  0  0  4  0 |  4  0  0  0  1  0  0 | 10  *  *  *  * *  *  * | 1 0  1  0  0  0
.... o.o.3o.o.3o.x.&#x  & ♦ 1  4 |  0  4  6  0 |  0  6  0  4  0 |  0  4  0  0  1  0  0 |  * 10  *  *  * *  *  * | 0 1  0  0  0  1
oxo.3ooo. .... ....&#x  & ♦ 1  4 |  3  1  3  3 |  3  0  3  1  3 |  1  0  3  0  0  1  0 |  *  * 40  *  * *  *  * | 0 0  1  1  0  0
oxo. .... .... oox.&#x  & ♦ 1  4 |  2  2  2  4 |  1  1  4  0  4 |  0  0  2  2  0  0  1 |  *  *  * 60  * *  *  * | 0 0  0  1  1  0
.... .... ooo.3oox.&#x  & ♦ 1  4 |  1  3  3  3 |  0  3  3  1  3 |  0  1  0  3  0  1  0 |  *  *  *  * 40 *  *  * | 0 0  0  0  1  1
.x..3.o..3.o..3.o..     & ♦ 0  5 |  0  0 10  0 |  0  0  0 10  0 |  0  0  0  0  5  0  0 |  *  *  *  *  * 2  *  * | 1 1  0  0  0  0
.xo.3.oo.3.oo. ....&#x  & ♦ 0  5 |  0  0  6  4 |  0  0  0  4  6 |  0  0  0  0  1  4  0 |  *  *  *  *  * * 10  * | 0 0  1  0  0  1
.xo.3.oo. .... .ox.&#x  & ♦ 0  5 |  0  0  4  6 |  0  0  0  1  9 |  0  0  0  0  0  2  3 |  *  *  *  *  * *  * 20 | 0 0  0  1  1  0
--------------------------+------+-------------+----------------+----------------------+------------------------+----------------
ox..3oo..3oo..3oo..&#x  & ♦ 1  5 |  5  0 10  0 | 10  0  0 10  0 | 10  0  0  0  5  0  0 |  5  0  0  0  0 1  0  0 | 2 *  *  *  *  *
o.o.3o.o.3o.o.3o.x.&#x  & ♦ 1  5 |  0  5 10  0 |  0 10  0 10  0 |  0 10  0  0  5  0  0 |  0  5  0  0  0 1  0  0 | * 2  *  *  *  *
oxo.3ooo.3ooo. ....&#x  & ♦ 1  5 |  4  1  6  4 |  6  0  4  4  6 |  4  0  6  0  1  4  0 |  1  0  4  0  0 0  1  0 | * * 10  *  *  *
oxo.3ooo. .... oox.&#x  & ♦ 1  5 |  3  2  4  6 |  3  1  6  1  9 |  1  0  6  3  0  2  3 |  0  0  2  3  0 0  0  1 | * *  * 20  *  *
oxo. .... ooo.3oox.&#x  & ♦ 1  5 |  2  3  4  6 |  1  3  6  1  9 |  0  1  3  6  0  2  3 |  0  0  0  3  2 0  0  1 | * *  *  * 20  *
.... ooo.3ooo.3oox.&#x  & ♦ 1  5 |  1  4  6  4 |  0  6  4  4  6 |  0  4  0  6  1  4  0 |  0  1  0  0  4 0  1  0 | * *  *  *  * 10
```