Acronym dotip
Name dodecateron prism
Circumradius 1
Confer
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

x o3o3x3o3o

. . . . . . | 40 |  1   9 |  9   9   9 |  9  9  3  9  3 |  3  9  3  3  3 | 3 3 1
------------+----+--------+------------+----------------+----------------+------
x . . . . . |  2 | 20   *   9   0   0 |  9  9  0  0  0 |  3  9  3  0  0 | 3 3 0
. . . x . . |  2 |  * 180 |  1   2   2 |  2  2  1  4  1 |  1  4  1  2  2 | 2 2 1
------------+----+--------+------------+----------------+----------------+------
x . . x . . |  4 |  2   2 | 90   *   * |  2  2  0  0  0 |  1  4  1  0  0 | 2 2 0
. . o3x . . |  3 |  0   3 |  * 120   * |  1  0  2  2  0 |  1  2  0  2  1 | 2 1 1
. . . x3o . |  3 |  0   3 |  *   * 120 |  0  1  0  2  2 |  0  2  1  1  2 | 1 2 1
------------+----+--------+------------+----------------+----------------+------
x . o3x . .   6 |  3   6 |  3   2   0 | 60  *  *  *  * |  1  2  0  0  0 | 2 1 0
x . . x3o .   6 |  3   6 |  3   0   2 |  * 60  *  *  * |  0  2  1  0  0 | 1 2 0
. o3o3x . .   4 |  0   6 |  0   4   0 |  *  * 30  *  * |  1  0  0  2  0 | 2 0 1
. . o3x3o .   6 |  0  12 |  0   4   4 |  *  *  * 60  * |  0  1  0  1  1 | 1 1 1
. . . x3o3o   4 |  0   6 |  0   0   4 |  *  *  *  * 30 |  0  0  1  0  2 | 0 2 1
------------+----+--------+------------+----------------+----------------+------
x o3o3x . .   8 |  4  12 |  6   8   0 |  4  0  2  0  0 | 15  *  *  *  * | 2 0 0
x . o3x3o .  12 |  6  24 | 12   8   8 |  4  4  0  2  0 |  * 30  *  *  * | 1 1 0
x . . x3o3o   8 |  4  12 |  6   0   8 |  0  4  0  0  2 |  *  * 15  *  * | 0 2 0
. o3o3x3o .  10 |  0  30 |  0  20  10 |  0  0  5  5  0 |  *  *  * 12  * | 1 0 1
. . o3x3o3o  10 |  0  30 |  0  10  20 |  0  0  0  5  5 |  *  *  *  * 12 | 0 1 1
------------+----+--------+------------+----------------+----------------+------
x o3o3x3o .  20 | 10  60 | 30  40  20 | 20 10 10 10  0 |  5  5  0  2  0 | 6 * *
x . o3x3o3o  20 | 10  60 | 30  20  40 | 10 20  0 10 10 |  0  5  5  0  2 | * 6 *
. o3o3x3o3o  20 |  0  90 |  0  60  60 |  0  0 15 30 15 |  0  0  0  6  6 | * * 2
or
. . . . . .    | 40 |  1   9 |  9  18 |  18  6  9 |  6  9  6 |  6 1
---------------+----+--------+--------+-----------+----------+-----
x . . . . .    |  2 | 20   *   9   0 |  18  0  0 |  6  9  0 |  6 0
. . . x . .    |  2 |  * 180 |  1   4 |   4  2  4 |  2  4  4 |  4 1
---------------+----+--------+--------+-----------+----------+-----
x . . x . .    |  4 |  2   2 | 90   * |   4  0  0 |  2  4  0 |  4 0
. . o3x . .  & |  3 |  0   3 |  * 240 |   1  1  2 |  1  2  3 |  3 1
---------------+----+--------+--------+-----------+----------+-----
x . o3x . .  &   6 |  3   6 |  3   2 | 120  *  * |  1  2  0 |  3 0
. o3o3x . .  &   4 |  0   6 |  0   4 |   * 60  * |  1  0  2 |  2 1
. . o3x3o .      6 |  0  12 |  0   8 |   *  * 60 |  0  1  2 |  2 1
---------------+----+--------+--------+-----------+----------+-----
x o3o3x . .  &   8 |  4  12 |  6   8 |   4  2  0 | 30  *  * |  2 0
x . o3x3o .     12 |  6  24 | 12  16 |   8  0  2 |  * 30  * |  2 0
. o3o3x3o .  &  10 |  0  30 |  0  30 |   0  5  5 |  *  * 24 |  1 1
---------------+----+--------+--------+-----------+----------+-----
x o3o3x3o .  &  20 | 10  60 | 30  60 |  30 10 10 |  5  5  2 | 12 *
. o3o3x3o3o     20 |  0  90 |  0 120 |   0 30 30 |  0  0 12 |  * 2

oo3oo3xx3oo3oo&#x   → height = 1
(dot || dot)

o.3o.3o.3o.3o.    | 20  * |  9  1  0 |  9  9  9  0  0 |  3  9  3  9  9  0  0  0 | 3 3  3  9  3 0 0 | 1 3 3 0
.o3.o3.o3.o3.o    |  * 20 |  0  1  9 |  0  0  9  9  9 |  0  0  0  9  9  3  9  3 | 0 0  3  9  3 3 3 | 0 3 3 1
------------------+-------+----------+----------------+-------------------------+------------------+--------
.. .. x. .. ..    |  2  0 | 90  *  * |  2  2  1  0  0 |  1  4  1  2  2  0  0  0 | 2 2  1  4  1 0 0 | 1 2 2 0
oo3oo3oo3oo3oo&#x |  1  1 |  * 20  *   0  0  9  0  0 |  0  0  0  9  9  0  0  0 | 0 0  3  9  3 0 0 | 0 3 3 0
.. .. .x .. ..    |  0  2 |  *  * 90 |  0  0  1  2  2 |  0  0  0  2  2  1  4  1 | 0 0  1  4  1 2 2 | 0 2 2 1
------------------+-------+----------+----------------+-------------------------+------------------+--------
.. o.3x. .. ..    |  3  0 |  3  0  0 | 60  *  *  *  * |  1  2  0  1  0  0  0  0 | 2 1  1  2  0 0 0 | 1 2 1 0
.. .. x.3o. ..    |  3  0 |  3  0  0 |  * 60  *  *  * |  0  2  1  0  1  0  0  0 | 1 2  0  2  1 0 0 | 1 1 2 0
.. .. xx .. ..&#x |  2  2 |  1  2  1 |  *  * 90  *  * |  0  0  0  2  2  0  0  0 | 0 0  1  4  1 0 0 | 0 2 2 0
.. .o3.x .. ..    |  0  3 |  0  0  3 |  *  *  * 60  * |  0  0  0  1  0  1  2  0 | 0 0  1  2  0 2 1 | 0 2 1 1
.. .. .x3.o ..    |  0  3 |  0  0  3 |  *  *  *  * 60 |  0  0  0  0  1  0  2  1 | 0 0  0  2  1 1 2 | 0 1 2 1
------------------+-------+----------+----------------+-------------------------+------------------+--------
o.3o.3x. .. ..      4  0 |  6  0  0 |  4  0  0  0  0 | 15  *  *  *  *  *  *  * | 2 0  1  0  0 0 0 | 1 2 0 0
.. o.3x.3o. ..      6  0 | 12  0  0 |  4  4  0  0  0 |  * 30  *  *  *  *  *  * | 1 1  0  1  0 0 0 | 1 1 1 0
.. .. x.3o.3o.      4  0 |  6  0  0 |  0  4  0  0  0 |  *  * 15  *  *  *  *  * | 0 2  0  0  1 0 0 | 1 0 2 0
.. oo3xx .. ..&#x   3  3 |  3  3  3 |  1  0  3  1  0 |  *  *  * 60  *  *  *  * | 0 0  1  2  0 0 0 | 0 2 1 0
.. .. xx3oo ..&#x   3  3 |  3  3  3 |  0  1  3  0  1 |  *  *  *  * 60  *  *  * | 0 0  0  2  1 0 0 | 0 1 2 0
.o3.o3.x .. ..      0  4 |  0  0  6 |  0  0  0  4  0 |  *  *  *  *  * 15  *  * | 0 0  1  0  0 2 0 | 0 2 0 1
.. .o3.x3.o ..      0  6 |  0  0 12 |  0  0  0  4  4 |  *  *  *  *  *  * 30  * | 0 0  0  1  0 1 1 | 0 1 1 1
.. .. .x3.o3.o      0  4 |  0  0  6 |  0  0  0  0  4 |  *  *  *  *  *  *  * 15 | 0 0  0  0  1 0 2 | 0 0 2 1
------------------+-------+----------+----------------+-------------------------+------------------+--------
o.3o.3x.3o. ..     10  0 | 30  0  0 | 20 10  0  0  0 |  5  5  0  0  0  0  0  0 | 6 *  *  *  * * * | 1 1 0 0
.. o.3x.3o.3o.     10  0 | 30  0  0 | 10 20  0  0  0 |  0  5  5  0  0  0  0  0 | * 6  *  *  * * * | 1 0 1 0
oo3oo3xx .. ..&#x   4  4 |  6  4  6 |  4  0  6  4  0 |  1  0  0  4  0  1  0  0 | * * 15  *  * * * | 0 2 0 0
.. oo3xx3oo ..&#x   6  6 | 12  6 12 |  4  4 12  4  4 |  0  1  0  4  4  0  1  0 | * *  * 30  * * * | 0 1 1 0
.. .. xx3oo3oo&#x   4  4 |  6  4  6 |  0  4  6  0  4 |  0  0  1  0  4  0  0  1 | * *  *  * 15 * * | 0 0 2 0
.o3.o3.x3.o ..      0 10 |  0  0 30 |  0  0  0 20 10 |  0  0  0  0  0  5  5  0 | * *  *  *  * 6 * | 0 1 0 1
.. .o3.x3.o3.o3     0 10 |  0  0 30 |  0  0  0 10 20 |  0  0  0  0  0  0  5  5 | * *  *  *  * * 6 | 0 0 1 1
------------------+-------+----------+----------------+-------------------------+------------------+--------
o.3o.3x.3o.3o.     20  0 | 90  0  0 | 60 60  0  0  0 | 15 30 15  0  0  0  0  0 | 6 6  0  0  0 0 0 | 1 * * *
oo3oo3xx3oo ..&#x  10 10 | 30 10 30 | 20 10 30 20 10 |  5  5  0 20 10  5  5  0 | 1 0  5  5  0 1 0 | * 6 * *
.. oo3xx3oo3oo&#x  10 10 | 30 10 30 | 10 20 30 10 20 |  0  5  5 10 20  0  5  5 | 0 1  0  5  5 0 1 | * * 6 *
.o3.o3.x3.o3.o      0 20 |  0  0 90 |  0  0  0 60 60 |  0  0  0  0  0 15 30 15 | 0 0  0  0  0 6 6 | * * * 1
or
o.3o.3o.3o.3o.      | 20  * |  9  1  0 |  18  9   0 |  6  9  18  0  0 |  6  6  9  0 | 1  6 0
.o3.o3.o3.o3.o      |  * 20 |  0  1  9 |   0  9  18 |  0  0  18  6  9 |  0  6  9  6 | 0  6 1
--------------------+-------+----------+------------+-----------------+-------------+-------
.. .. x. .. ..      |  2  0 | 90  *  * |   4  1   0 |  2  4   4  0  0 |  4  2  4  0 | 1  4 0
oo3oo3oo3oo3oo&#x   |  1  1 |  * 20  *    0  9   0 |  0  0  18  0  0 |  0  6  9  0 | 0  6 0
.. .. .x .. ..      |  0  2 |  *  * 90 |   0  1   4 |  0  0   4  2  4 |  0  2  4  4 | 0  4 1
--------------------+-------+----------+------------+-----------------+-------------+-------
.. o.3x. .. ..    & |  3  0 |  3  0  0 | 120  *   * |  1  2   1  0  0 |  3  1  2  0 | 1  3 0
.. .. xx .. ..&#x   |  2  2 |  1  2  1 |   * 90   * |  0  0   4  0  0 |  0  2  4  0 | 0  4 0
.. .o3.x .. ..    & |  0  3 |  0  0  3 |   *  * 120 |  0  0   1  1  2 |  0  1  2  3 | 0  3 1
--------------------+-------+----------+------------+-----------------+-------------+-------
o.3o.3x. .. ..    &   4  0 |  6  0  0 |   4  0   0 | 30  *   *  *  * |  2  1  0  0 | 1  2 0
.. o.3x.3o. ..        6  0 | 12  0  0 |   8  0   0 |  * 30   *  *  * |  2  0  1  0 | 1  2 0
.. oo3xx .. ..&#x &   3  3 |  3  3  3 |   1  3   1 |  *  * 120  *  * |  0  1  2  0 | 0  3 0
.o3.o3.x .. ..    &   0  4 |  0  0  6 |   0  0   4 |  *  *   * 30  * |  0  1  0  2 | 0  2 1
.. .o3.x3.o ..        0  6 |  0  0 12 |   0  0   8 |  *  *   *  * 30 |  0  0  1  2 | 0  2 1
--------------------+-------+----------+------------+-----------------+-------------+-------
o.3o.3x.3o. ..    &  10  0 | 30  0  0 |  30  0   0 |  5  5   0  0  0 | 12  *  *  * | 1  1 0
oo3oo3xx .. ..&#x &   4  4 |  6  4  6 |   4  6   4 |  1  0   4  1  0 |  * 30  *  * | 0  2 0
.. oo3xx3oo ..&#x     6  6 | 12  6 12 |   8 12   8 |  0  1   8  0  1 |  *  * 30  * | 0  2 0
.o3.o3.x3.o ..    &   0 10 |  0  0 30 |   0  0  30 |  0  0   0  5  5 |  *  *  * 12 | 0  1 1
--------------------+-------+----------+------------+-----------------+-------------+-------
o.3o.3x.3o.3o.       20  0 | 90  0  0 | 120  0   0 | 30 30   0  0  0 | 12  0  0  0 | 1  * *
oo3oo3xx3oo ..&#x &  10 10 | 30 10 30 |  30 30  30 |  5  5  30  5  5 |  1  5  5  1 | * 12 *
.o3.o3.x3.o3.o        0 20 |  0  0 90 |   0  0 120 |  0  0   0 30 30 |  0  0  0 12 | *  * 1

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

o. o.3o.3o.3o.    | 20  * |  1  3  6  0  0 |  6  3  6  3  6  3  0  0  0 |  3  6  3  2  6  3  3  6  1  0  0  0  0 | 3 2 1  3  6  1  3  2 0 0 0 | 1 3 2 1 0
.o .o3.o3.o3.o    |  * 20 |  0  0  6  1  3 |  0  0  0  3  3  6  6  6  3 |  0  0  0  0  3  6  1  6  3  6  3  2  3 | 0 0 0  1  6  3  2  3 2 3 1 | 0 2 3 1 1
------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------
x. .. .. .. ..    |  2  0 | 10  *  *  *  *   6  0  0  3  0  0  0  0  0 |  3  6  0  0  6  3  0  0  0  0  0  0  0 | 3 2 0  3  6  1  0  0 0 0 0 | 1 3 2 0 0
.. .. x. .. ..    |  2  0 |  * 60  *  *  * |  1  1  2  0  1  0  0  0  0 |  1  2  2  1  1  0  1  2  0  0  0  0  0 | 2 1 1  1  2  0  2  1 0 0 0 | 1 2 1 1 0
oo oo3oo3oo3oo&#x |  1  1 |  *  * 60  *  * |  0  0  0  1  2  2  0  0  0 |  0  0  0  0  2  2  1  4  1  0  0  0  0 | 0 0 0  1  4  1  2  2 0 0 0 | 0 2 2 1 0
.x .. .. .. ..    |  0  2 |  *  *  * 10  *   0  0  0  3  0  0  6  0  0 |  0  0  0  0  3  6  0  0  0  3  6  0  0 | 0 0 0  1  6  3  0  0 2 3 0 | 0 2 3 0 1
.. .. .. .x ..    |  0  2 |  *  *  *  * 60 |  0  0  0  0  0  1  1  2  1 |  0  0  0  0  0  1  0  2  1  2  1  1  2 | 0 0 0  0  2  1  1  2 1 2 1 | 0 1 2 1 1
------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------
x. .. x. .. ..    |  4  0 |  2  2  0  0  0 | 30  *  *  *  *  *  *  *  * |  1  2  0  0  1  0  0  0  0  0  0  0  0 | 2 1 0  1  2  0  0  0 0 0 0 | 1 2 1 0 0
.. o.3x. .. ..    |  3  0 |  0  3  0  0  0 |  * 20  *  *  *  *  *  *  * |  1  0  2  0  0  0  1  0  0  0  0  0  0 | 2 0 1  1  0  0  2  0 0 0 0 | 1 2 0 1 0
.. .. x.3o. ..    |  3  0 |  0  3  0  0  0 |  *  * 40  *  *  *  *  *  * |  0  1  1  1  0  0  0  1  0  0  0  0  0 | 1 1 1  0  1  0  1  1 0 0 0 | 1 1 1 1 0
xx .. .. .. ..&#x |  2  2 |  1  0  2  1  0 |  *  *  * 30  *  *  *  *  * |  0  0  0  0  2  2  0  0  0  0  0  0  0 | 0 0 0  1  4  1  0  0 0 0 0 | 0 2 2 0 0
.. .. xo .. ..&#x |  2  1 |  0  1  2  0  0 |  *  *  *  * 60  *  *  *  * |  0  0  0  0  1  0  1  2  0  0  0  0  0 | 0 0 0  1  2  0  2  1 0 0 0 | 0 2 1 1 0
.. .. .. ox ..&#x |  1  2 |  0  0  2  0  1 |  *  *  *  *  * 60  *  *  * |  0  0  0  0  0  1  0  2  1  0  0  0  0 | 0 0 0  0  2  1  1  2 0 0 0 | 0 1 2 1 0
.x .. .. .x ..    |  0  4 |  0  0  0  2  2 |  *  *  *  *  *  * 30  *  * |  0  0  0  0  0  1  0  0  0  2  1  0  0 | 0 0 0  0  2  1  0  0 1 2 0 | 0 1 2 0 1
.. .. .o3.x ..    |  0  3 |  0  0  0  0  3 |  *  *  *  *  *  *  * 40  * |  0  0  0  0  0  0  0  1  0  1  0  1  1 | 0 0 0  0  1  0  1  1 1 1 1 | 0 1 1 1 1
.. .. .. .x3.o    |  0  3 |  0  0  0  0  3 |  *  *  *  *  *  *  *  * 20 |  0  0  0  0  0  0  0  0  1  0  1  0  2 | 0 0 0  0  0  1  0  2 0 2 1 | 0 0 2 1 1
------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------
x. o.3x. .. ..      6  0 |  3  6  0  0  0 |  3  2  0  0  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  *  *  * | 2 0 0  1  0  0  0  0 0 0 0 | 1 2 0 0 0
x. .. x.3o. ..      6  0 |  3  6  0  0  0 |  3  0  2  0  0  0  0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  *  * | 1 1 0  0  1  0  0  0 0 0 0 | 1 1 1 0 0
.. o.3x.3o. ..      6  0 |  0 12  0  0  0 |  0  4  4  0  0  0  0  0  0 |  *  * 10  *  *  *  *  *  *  *  *  *  * | 1 0 1  0  0  0  1  0 0 0 0 | 1 1 0 1 0
.. .. x.3o.3o.      4  0 |  0  6  0  0  0 |  0  0  4  0  0  0  0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  *  * | 0 1 1  0  0  0  0  1 0 0 0 | 1 0 1 1 0
xx .. xo .. ..&#x   4  2 |  2  2  4  1  0 |  1  0  0  2  2  0  0  0  0 |  *  *  *  * 30  *  *  *  *  *  *  *  * | 0 0 0  1  2  0  0  0 0 0 0 | 0 2 1 0 0
xx .. .. ox ..&#x   2  4 |  1  0  4  2  2 |  0  0  0  2  0  2  1  0  0 |  *  *  *  *  * 30  *  *  *  *  *  *  * | 0 0 0  0  2  1  0  0 0 0 0 | 0 1 2 0 0
.. oo3xo .. ..&#x   3  1 |  0  3  3  0  0 |  0  1  0  0  3  0  0  0  0 |  *  *  *  *  *  * 20  *  *  *  *  *  * | 0 0 0  1  0  0  2  0 0 0 0 | 0 2 0 1 0
.. .. xo3ox ..&#x   3  3 |  0  3  6  0  3 |  0  0  1  0  3  3  0  1  0 |  *  *  *  *  *  *  * 40  *  *  *  *  * | 0 0 0  0  1  0  1  1 0 0 0 | 0 1 1 1 0
.. .. .. ox3oo&#x   1  3 |  0  0  3  0  3 |  0  0  0  0  0  3  0  0  1 |  *  *  *  *  *  *  *  * 20  *  *  *  * | 0 0 0  0  0  1  0  2 0 0 0 | 0 0 2 1 0
.x .. .o3.x ..      0  6 |  0  0  0  3  6 |  0  0  0  0  0  0  3  2  0 |  *  *  *  *  *  *  *  *  * 20  *  *  * | 0 0 0  0  1  0  0  0 1 1 0 | 0 1 1 0 1
.x .. .. .x3.o      0  6 |  0  0  0  3  6 |  0  0  0  0  0  0  3  0  2 |  *  *  *  *  *  *  *  *  *  * 10  *  * | 0 0 0  0  0  1  0  0 0 2 0 | 0 0 2 0 1
.. .o3.o3.x ..      0  4 |  0  0  0  0  6 |  0  0  0  0  0  0  0  4  0 |  *  *  *  *  *  *  *  *  *  *  * 10  * | 0 0 0  0  0  0  1  0 1 0 1 | 0 1 0 1 1
.. .. .o3.x3.o      0  6 |  0  0  0  0 12 |  0  0  0  0  0  0  0  4  4 |  *  *  *  *  *  *  *  *  *  *  *  * 10 | 0 0 0  0  0  0  0  1 0 1 1 | 0 0 1 1 1
------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------
x. o.3x.3o. ..     12  0 |  6 24  0  0  0 | 12  8  8  0  0  0  0  0  0 |  4  4  2  0  0  0  0  0  0  0  0  0  0 | 5 * *  *  *  *  *  * * * * | 1 1 0 0 0
x. .. x.3o.3o.      8  0 |  4 12  0  0  0 |  6  0  8  0  0  0  0  0  0 |  0  4  0  2  0  0  0  0  0  0  0  0  0 | * 5 *  *  *  *  *  * * * * | 1 0 1 0 0
.. o.3x.3o.3o.     10  0 |  0 30  0  0  0 |  0 10 20  0  0  0  0  0  0 |  0  0  5  5  0  0  0  0  0  0  0  0  0 | * * 2  *  *  *  *  * * * * | 1 0 0 1 0
xx oo3xo .. ..&#x   6  2 |  3  6  6  1  0 |  3  2  0  3  6  0  0  0  0 |  1  0  0  0  3  0  2  0  0  0  0  0  0 | * * * 10  *  *  *  * * * * | 0 2 0 0 0
xx .. xo3ox ..&#x   6  6 |  3  6 12  3  6 |  3  0  2  6  6  6  3  2  0 |  0  1  0  0  3  3  0  2  0  1  0  0  0 | * * *  * 20  *  *  * * * * | 0 1 1 0 0
xx .. .. ox3oo&#x   2  6 |  1  0  6  3  6 |  0  0  0  3  0  6  3  0  2 |  0  0  0  0  0  3  0  0  2  0  1  0  0 | * * *  *  * 10  *  * * * * | 0 0 2 0 0
.. oo3xo3ox ..&#x   6  4 |  0 12 12  0  6 |  0  4  4  0 12  6  0  4  0 |  0  0  1  0  0  0  4  4  0  0  0  1  0 | * * *  *  *  * 10  * * * * | 0 1 0 1 0
.. .. xo3ox3oo&#x   4  6 |  0  6 12  0 12 |  0  0  4  0  6 12  0  4  4 |  0  0  0  1  0  0  0  4  4  0  0  0  1 | * * *  *  *  *  * 10 * * * | 0 0 1 1 0
.x .o3.o3.x ..      0  8 |  0  0  0  4 12 |  0  0  0  0  0  0  6  8  0 |  0  0  0  0  0  0  0  0  0  4  0  2  0 | * * *  *  *  *  *  * 5 * * | 0 1 0 0 1
.x .. .o3.x3.o      0 12 |  0  0  0  6 24 |  0  0  0  0  0  0 12  8  8 |  0  0  0  0  0  0  0  0  0  4  4  0  2 | * * *  *  *  *  *  * * 5 * | 0 0 1 0 1
.. .o3.o3.x3.o      0 10 |  0  0  0  0 30 |  0  0  0  0  0  0  0 20 10 |  0  0  0  0  0  0  0  0  0  0  0  5  5 | * * *  *  *  *  *  * * * 2 | 0 0 0 1 1
------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------
x. o.3x.3o.3o.     20  0 | 10 60  0  0  0 | 30 20 40  0  0  0  0  0  0 | 10 20 10 10  0  0  0  0  0  0  0  0  0 | 5 5 2  0  0  0  0  0 0 0 0 | 1 * * * *
xx oo3xo3ox ..&#x  12  8 |  6 24 24  4 12 | 12  8  8 12 24 12  6  8  0 |  4  4  2  0 12  6  8  8  0  4  0  2  0 | 1 0 0  4  4  0  2  0 1 0 0 | * 5 * * *
xx .. xo3ox3oo&#x   8 12 |  4 12 24  6 24 |  6  0  8 12 12 24 12  8  8 |  0  4  0  2  6 12  0  8  8  4  4  0  2 | 0 1 0  0  4  4  0  2 0 1 0 | * * 5 * *
.. oo3xo3ox3oo&#x  10 10 |  0 30 30  0 30 |  0 10 20  0 30 30  0 20 10 |  0  0  5  5  0  0 10 20 10  0  0  5  5 | 0 0 1  0  0  0  5  5 0 0 1 | * * * 2 *
.x .o3.o3.x3.o      0 20 |  0  0  0 10 60 |  0  0  0  0  0  0 30 40 20 |  0  0  0  0  0  0  0  0  0 20 10 10 10 | 0 0 0  0  0  0  0  0 5 5 2 | * * * * 1
or
o. o.3o.3o.3o.    & | 40 |  1   6  3 |  6  3  6  3   9 |  3  6  3  2  9  4  6 |  3  2 1  4  6  5 | 1  5 1
--------------------+----+-----------+-----------------+----------------------+------------------+-------
x. .. .. .. ..    & |  2 | 20   *  *   6  0  0  3   0 |  3  6  0  0  9  0  0 |  3  2 0  4  6  0 | 1  5 0
.. .. x. .. ..    & |  2 |  * 120  * |  1  1  2  0   1 |  1  2  2  1  1  1  2 |  2  1 1  1  2  3 | 1  3 1
oo oo3oo3oo3oo&#x   |  2 |  *   * 60 |  0  0  0  1   4 |  0  0  0  0  4  2  4 |  0  0 0  2  4  4 | 0  4 1
--------------------+----+-----------+-----------------+----------------------+------------------+-------
x. .. x. .. ..    & |  4 |  2   2  0 | 60  *  *  *   * |  1  2  0  0  1  0  0 |  2  1 0  1  2  0 | 1  3 0
.. o.3x. .. ..    & |  3 |  0   3  0 |  * 40  *  *   * |  1  0  2  0  0  1  0 |  2  0 1  1  0  2 | 1  2 1
.. .. x.3o. ..    & |  3 |  0   3  0 |  *  * 80  *   * |  0  1  1  1  0  0  1 |  1  1 1  0  1  2 | 1  2 1
xx .. .. .. ..&#x   |  4 |  2   0  2 |  *  *  * 30   * |  0  0  0  0  4  0  0 |  0  0 0  2  4  0 | 0  4 0
.. .. xo .. ..&#x & |  3 |  0   1  2 |  *  *  *  * 120 |  0  0  0  0  1  1  2 |  0  0 0  1  2  3 | 0  3 1
--------------------+----+-----------+-----------------+----------------------+------------------+-------
x. o.3x. .. ..    &   6 |  3   6  0 |  3  2  0  0   0 | 20  *  *  *  *  *  * |  2  0 0  1  0  0 | 1  2 0
x. .. x.3o. ..    &   6 |  3   6  0 |  3  0  2  0   0 |  * 40  *  *  *  *  * |  1  1 0  0  1  0 | 1  2 0
.. o.3x.3o. ..    &   6 |  0  12  0 |  0  4  4  0   0 |  *  * 20  *  *  *  * |  1  0 1  0  0  1 | 1  1 1
.. .. x.3o.3o.    &   4 |  0   6  0 |  0  0  4  0   0 |  *  *  * 20  *  *  * |  0  1 1  0  0  1 | 1  1 1
xx .. xo .. ..&#x &   6 |  3   2  4 |  1  0  0  2   2 |  *  *  *  * 60  *  * |  0  0 0  1  2  0 | 0  3 0
.. oo3xo .. ..&#x &   4 |  0   3  3 |  0  1  0  0   3 |  *  *  *  *  * 40  * |  0  0 0  1  0  2 | 0  2 1
.. .. xo3ox ..&#x     6 |  0   6  6 |  0  0  2  0   6 |  *  *  *  *  *  * 40 |  0  0 0  0  1  2 | 0  2 1
--------------------+----+-----------+-----------------+----------------------+------------------+-------
x. o.3x.3o. ..    &  12 |  6  24  0 | 12  8  8  0   0 |  4  4  2  0  0  0  0 | 10  * *  *  *  * | 1  1 0
x. .. x.3o.3o.    &   8 |  4  12  0 |  6  0  8  0   0 |  0  4  0  2  0  0  0 |  * 10 *  *  *  * | 1  1 0
.. o.3x.3o.3o.    &  10 |  0  30  0 |  0 10 20  0   0 |  0  0  5  5  0  0  0 |  *  * 4  *  *  * | 1  0 1
xx oo3xo .. ..&#x &   8 |  4   6  6 |  3  2  0  3   6 |  1  0  0  0  3  2  0 |  *  * * 20  *  * | 0  2 0
xx .. xo3ox ..&#x    12 |  6  12 12 |  6  0  4  6  12 |  0  2  0  0  6  0  2 |  *  * *  * 20  * | 0  2 0
.. oo3xo3ox ..&#x &  10 |  0  18 12 |  0  4  8  0  18 |  0  0  1  1  0  4  4 |  *  * *  *  * 20 | 0  1 1
--------------------+----+-----------+-----------------+----------------------+------------------+-------
x. o.3x.3o.3o.    &  20 | 10  60  0 | 30 20 40  0   0 | 10 20 10 10  0  0  0 |  5  5 2  0  0  0 | 2  * *
xx oo3xo3ox ..&#x &  20 | 10  36 24 | 18  8 16 12  36 |  4  8  2  2 18  8  8 |  1  1 0  4  4  2 | * 10 *
.. oo3xo3ox3oo&#x    20 |  0  60 30 |  0 20 40  0  60 |  0  0 10 10  0 20 20 |  0  0 2  0  0 10 | *  * 2

xxxx oxoo3ooxo oxoo3ooxo&#xt   → all heights = 1/sqrt(3) = 0.577350
(line || pseudo tratrip || pseudo inv tratrip || line)

o... o...3o... o...3o...      & | 4  * | 1  9  0  0  0 |  9 18  0  0  0   0 | 18  6  9  0  0  0  0 |  6  9  6  0  0 |  6 1
.o.. .o..3.o.. .o..3.o..      & | * 36 | 0  1  1  4  4 |  1  4  4  2  4  12 |  4  2  5  2 12  4  4 |  2  5  6  4  4 |  6 1
--------------------------------+------+---------------+--------------------+----------------------+----------------+-----
x... .... .... .... ....      & | 2  0 | 2  *  *  *  *   9  0  0  0  0   0 | 18  0  0  0  0  0  0 |  6  9  0  0  0 |  6 0
oo.. oo..3oo.. oo..3oo..&#x   & | 1  1 | * 36  *  *  * |  1  4  0  0  0   0 |  4  2  4  0  0  0  0 |  2  4  4  0  0 |  4 1
.x.. .... .... .... ....      & | 0  2 | *  * 18  *  *   1  0  4  0  4   0 |  4  0  0  2 12  0  0 |  2  5  0  4  4 |  6 0
.... .x.. .... .... ....      & | 0  2 | *  *  * 72  * |  0  1  1  1  0   2 |  1  1  2  1  2  2  1 |  1  2  4  2  1 |  4 1
.oo. .oo.3.oo. .oo.3.oo.&#x     | 0  2 | *  *  *  * 72 |  0  0  0  0  1   4 |  0  0  2  0  4  2  2 |  0  2  4  2  2 |  4 1
--------------------------------+------+---------------+--------------------+----------------------+----------------+-----
xx.. .... .... .... ....&#x   & | 2  2 | 1  2  1  0  0 | 18  *  *  *  *   * |  4  0  0  0  0  0  0 |  2  4  0  0  0 |  4 0
.... ox.. .... .... ....&#x   & | 1  2 | 0  2  0  1  0 |  * 72  *  *  *   * |  1  1  2  0  0  0  0 |  1  2  3  0  0 |  3 1
.x.. .x.. .... .... ....      & | 0  4 | 0  0  2  2  0 |  *  * 36  *  *   * |  1  0  0  1  2  0  0 |  1  2  0  2  1 |  4 0
.... .x..3.o.. .... ....      & | 0  3 | 0  0  0  3  0 |  *  *  * 24  *   * |  0  1  0  1  0  2  0 |  1  0  3  2  0 |  3 1
.xx. .... .... .... ....&#x     | 0  4 | 0  0  2  0  2 |  *  *  *  * 36   * |  0  0  0  0  4  0  0 |  0  2  0  2  2 |  4 0
.... .xo. .... .... ....&#x   & | 0  3 | 0  0  0  1  2 |  *  *  *  *  * 144 |  0  0  1  0  1  1  1 |  0  1  3  1  1 |  3 1
--------------------------------+------+---------------+--------------------+----------------------+----------------+-----
xx.. ox.. .... .... ....&#x   &  2  4 | 1  4  2  2  0 |  2  2  1  0  0   0 | 36  *  *  *  *  *  * |  1  2  0  0  0 |  3 0
.... ox..3oo.. .... ....&#x   &  1  3 | 0  3  0  3  0 |  0  3  0  1  0   0 |  * 24  *  *  *  *  * |  1  0  2  0  0 |  2 1
.... oxo. .... oxo. ....&#xt  &  1  5 | 0  4  0  4  4 |  0  4  0  0  0   4 |  *  * 36  *  *  *  * |  0  1  2  0  0 |  2 1
.x.. .x..3.o.. .... ....      &  0  6 | 0  0  3  6  0 |  0  0  3  2  0   0 |  *  *  * 12  *  *  * |  1  0  0  2  0 |  3 0
.xx. .xo. .... .... ....&#x   &  0  6 | 0  0  3  2  4 |  0  0  1  0  2   2 |  *  *  *  * 72  *  * |  0  1  0  1  1 |  3 0
.... .xo.3.ox. .... ....&#x   &  0  6 | 0  0  0  6  6 |  0  0  0  2  0   6 |  *  *  *  *  * 24  * |  0  0  2  1  0 |  2 1
.... .xo. .... .... .ox.&#xt  &  0  4 | 0  0  0  2  4 |  0  0  0  0  0   4 |  *  *  *  *  *  * 36 |  0  0  2  0  1 |  2 1
--------------------------------+------+---------------+--------------------+----------------------+----------------+-----
xx.. ox..3oo.. .... ....&#x   &  2  6 | 1  6  3  6  0 |  3  6  3  2  0   0 |  3  2  0  1  0  0  0 | 12  *  *  *  * |  2 0
xxx. oxo. .... oxo. ....&#xt  &  2 10 | 1  8  5  8  8 |  4  8  4  0  4   8 |  4  0  2  0  4  0  0 |  * 18  *  *  * |  2 0
.... oxo.3oox. oxo. ....&#xt  &  1  9 | 0  6  0 12 12 |  0  9  0  3  0  18 |  0  2  3  0  0  2  3 |  *  * 24  *  * |  1 1
.xx. .xo.3.ox. .... ....&#xt  &  0 12 | 0  0  6 12 12 |  0  0  6  4  6  12 |  0  0  0  2  6  2  0 |  *  *  * 12  * |  2 0
.xx. .xo. .... .... .ox.&#x   &  0  8 | 0  0  4  4  8 |  0  0  2  0  4   8 |  0  0  0  0  4  0  2 |  *  *  *  * 18 |  2 0
--------------------------------+------+---------------+--------------------+----------------------+----------------+-----
xxx. oxo.3oox. oxo. ....&#xt  &  2 18 | 1 12  9 24 24 |  6 18 12  6 12  36 |  9  4  6  3 18  4  6 |  2  3  2  2  3 | 12 *
.... oxoo3ooxo oxoo3ooxo&#xt     2 18 | 0 18  0 36 36 |  0 36  0 12  0  72 |  0 12 18  0  0 12 18 |  0  0 12  0  0 |  * 2

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