Acronym	hixip
Name	hexateron prism, vertex figure of roc
|,>,O device	line pyramid pyramid pyramid pyramid prism = |>>>>|
Circumradius	sqrt(2/3) = 0.816497
Volume	sqrt(3)/480 = 0.0036084
Face vector	12, 36, 55, 50, 27, 8
Confer	general polytopal classes: Wythoffian polypeta   segmentopeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x x3o3o3o3o

. . . . . . | 12 | 1  5 |  5 10 | 10 10 | 10  5 | 5 1
------------+----+------+-------+-------+-------+----
x . . . . . |  2 | 6  * ♦  5  0 | 10  0 | 10  0 | 5 0
. x . . . . |  2 | * 30 |  1  4 |  4  6 |  6  4 | 4 1
------------+----+------+-------+-------+-------+----
x x . . . . |  4 | 2  2 | 15  * ♦  4  0 |  6  0 | 4 0
. x3o . . . |  3 | 0  3 |  * 40 |  1  3 |  3  3 | 3 1
------------+----+------+-------+-------+-------+----
x x3o . . . ♦  6 | 3  6 |  3  2 | 20  * |  3  0 | 3 0
. x3o3o . . ♦  4 | 0  6 |  0  4 |  * 30 |  1  2 | 2 1
------------+----+------+-------+-------+-------+----
x x3o3o . . ♦  8 | 4 12 |  6  8 |  4  2 | 15  * | 2 0
. x3o3o3o . ♦  5 | 0 10 |  0 10 |  0  5 |  * 12 | 1 1
------------+----+------+-------+-------+-------+----
x x3o3o3o . ♦ 10 | 5 20 | 10 20 | 10 10 |  5  2 | 6 *
. x3o3o3o3o ♦  6 | 0 15 |  0 20 |  0 15 |  0  6 | * 2

xx3oo3oo3oo3oo&#x   → height = 1
(hix || hix)

o.3o.3o.3o.3o.    | 6 * |  5 1  0 | 10  5  0 | 10 10  0 | 5 10 0 | 1 5 0
.o3.o3.o3.o3.o    | * 6 |  0 1  5 |  0  5 10 |  0 10 10 | 0 10 5 | 0 5 1
------------------+-----+---------+----------+----------+--------+------
x. .. .. .. ..    | 2 0 | 15 *  * |  4  1  0 |  6  4  0 | 4  6 0 | 1 4 0
oo3oo3oo3oo3oo&#x | 1 1 |  * 6  * ♦  0  5  0 |  0 10  0 | 0 10 0 | 0 5 0
.x .. .. .. ..    | 0 2 |  * * 15 |  0  1  4 |  0  4  6 | 0  6 4 | 0 4 1
------------------+-----+---------+----------+----------+--------+------
x.3o. .. .. ..    | 3 0 |  3 0  0 | 20  *  * |  3  1  0 | 3  3 0 | 1 3 0
xx .. .. .. ..&#x | 2 2 |  1 2  1 |  * 15  * ♦  0  4  0 | 0  6 0 | 0 4 0
.x3.o .. .. ..    | 0 3 |  0 0  3 |  *  * 20 |  0  1  3 | 0  3 3 | 0 3 1
------------------+-----+---------+----------+----------+--------+------
x.3o.3o. .. ..    ♦ 4 0 |  6 0  0 |  4  0  0 | 15  *  * | 2  1 0 | 1 2 0
xx3oo .. .. ..&#x ♦ 3 3 |  3 3  3 |  1  3  1 |  * 20  * | 0  3 0 | 0 3 0
.x3.o3.o .. ..    ♦ 0 4 |  0 0  6 |  0  0  4 |  *  * 15 | 0  1 2 | 0 2 1
------------------+-----+---------+----------+----------+--------+------
x.3o.3o.3o. ..    ♦ 5 0 | 10 0  0 | 10  0  0 |  5  0  0 | 6  * * | 1 1 0
xx3oo3oo .. ..&#x ♦ 4 4 |  6 4  6 |  4  6  4 |  1  4  1 | * 15 * | 0 2 0
.x3.o3.o3.o ..    ♦ 0 5 |  0 0 10 |  0  0 10 |  0  0  5 | *  * 6 | 0 1 1
------------------+-----+---------+----------+----------+--------+------
x.3o.3o.3o.3o.    ♦ 6 0 | 15 0  0 | 20  0  0 | 15  0  0 | 6  0 0 | 1 * *
xx3oo3oo3oo ..&#x ♦ 5 5 | 10 5 10 | 10 10 10 |  5 10  5 | 1  5 1 | * 6 *
.x3.o3.o3.o3.o    ♦ 0 6 |  0 0 15 |  0  0 20 |  0  0 15 | 0  0 6 | * * 1

xx ox3oo3oo3oo&#x   → height = sqrt(3/5) = 0.774597
(line || penp)

o. o.3o.3o.3o.    | 2  * | 1  5 0  0 | 5 10  0  0 | 10 10  0  0 | 10  5 0 0 | 5 1 0
.o .o3.o3.o3.o    | * 10 | 0  1 1  4 | 1  4  4  6 |  4  6  6  4 |  6  4 4 1 | 4 1 1
------------------+------+-----------+------------+-------------+-----------+------
x. .. .. .. ..    | 2  0 | 1  * *  * ♦ 5  0  0  0 | 10  0  0  0 | 10  0 0 0 | 5 0 0
oo oo3oo3oo3oo&#x | 1  1 | * 10 *  * | 1  4  0  0 |  4  6  0  0 |  6  4 0 0 | 4 1 0
.x .. .. .. ..    | 0  2 | *  * 5  * ♦ 1  0  4  0 |  4  0  6  0 |  6  0 4 0 | 4 0 1
.. .x .. .. ..    | 0  2 | *  * * 20 | 0  1  1  3 |  1  3  3  3 |  3  3 3 1 | 3 1 1
------------------+------+-----------+------------+-------------+-----------+------
xx .. .. .. ..&#x | 2  2 | 1  2 1  0 | 5  *  *  * ♦  4  0  0  0 |  6  0 0 0 | 4 0 0
.. ox .. .. ..&#x | 1  2 | 0  2 0  1 | * 20  *  * |  1  3  0  0 |  3  3 0 0 | 3 1 0
.x .x .. .. ..    | 0  4 | 0  0 2  2 | *  * 10  * ♦  1  0  3  0 |  3  0 3 0 | 3 0 1
.. .x3.o .. ..    | 0  3 | 0  0 0  3 | *  *  * 20 |  0  1  1  2 |  1  2 2 1 | 2 1 1
------------------+------+-----------+------------+-------------+-----------+------
xx ox .. .. ..&#x ♦ 2  4 | 1  4 2  2 | 2  2  1  0 | 10  *  *  * |  3  0 0 0 | 3 0 0
.. ox3oo .. ..&#x ♦ 1  3 | 0  3 0  3 | 0  3  0  1 |  * 20  *  * |  1  2 0 0 | 2 1 0
.x .x3.o .. ..    ♦ 0  6 | 0  0 3  6 | 0  0  3  2 |  *  * 10  * |  1  0 2 0 | 2 0 1
.. .x3.o3.o ..    ♦ 0  4 | 0  0 0  6 | 0  0  0  4 |  *  *  * 10 |  0  1 1 1 | 1 1 1
------------------+------+-----------+------------+-------------+-----------+------
xx ox3oo .. ..&#x ♦ 2  6 | 1  6 3  6 | 3  6  3  2 |  3  2  1  0 | 10  * * * | 2 0 0
.. ox3oo3oo ..&#x ♦ 1  4 | 0  4 0  6 | 0  6  0  4 |  0  4  0  1 |  * 10 * * | 1 1 0
.x .x3.o3.o ..    ♦ 0  8 | 0  0 4 12 | 0  0  6  8 |  0  0  4  2 |  *  * 5 * | 1 0 1
.. .x3.o3.o3.o    ♦ 0  5 | 0  0 0 10 | 0  0  0 10 |  0  0  0  5 |  *  * * 2 | 0 1 1
------------------+------+-----------+------------+-------------+-----------+------
xx ox3oo3oo ..&#x ♦ 2  8 | 1  8 4 12 | 4 12  6  8 |  6  8  4  2 |  4  2 1 0 | 5 * *
.. ox3oo3oo3oo&#x ♦ 1  5 | 0  5 0 10 | 0 10  0 10 |  0 10  0  5 |  0  5 0 1 | * 2 *
.x .x3.o3.o3.o    ♦ 0 10 | 0  0 5 20 | 0  0 10 20 |  0  0 10 10 |  0  0 5 2 | * * 1

xx xo3oo ox3oo&#x   → height = 1/sqrt(3) = 0.577350
(trip || (not fully) ortho trip)

o. o.3o. o.3o.    | 6 * | 1 2  3 0 0 | 2 1 3  6  3 0 0 | 1 6 3 3  6 1 0 | 3 6 1 3 2 | 3 2 1
.o .o3.o .o3.o    | * 6 | 0 0  3 1 2 | 0 0 3  3  6 2 1 | 0 3 6 1  6 3 1 | 1 6 3 2 3 | 2 3 1
------------------+-----+------------+-----------------+----------------+-----------+------
x. .. .. .. ..    | 2 0 | 3 *  * * * ♦ 2 0 3  0  0 0 0 | 1 6 3 0  0 0 0 | 3 6 1 0 0 | 3 2 0
.. x. .. .. ..    | 2 0 | * 6  * * * | 1 1 0  3  0 0 0 | 1 3 0 3  3 0 0 | 3 3 0 3 1 | 3 1 1
oo oo3oo oo3oo&#x | 1 1 | * * 18 * * | 0 0 1  2  2 0 0 | 0 2 2 1  4 1 0 | 1 4 1 2 2 | 2 2 1
.x .. .. .. ..    | 0 2 | * *  * 3 * ♦ 0 0 3  0  0 2 0 | 0 3 6 0  0 0 1 | 1 6 3 0 0 | 2 3 0
.. .. .. .x ..    | 0 2 | * *  * * 6 | 0 0 0  0  3 1 1 | 0 0 3 0  3 3 1 | 0 3 3 1 3 | 1 3 1
------------------+-----+------------+-----------------+----------------+-----------+------
x. x. .. .. ..    | 4 0 | 2 2  0 0 0 | 3 * *  *  * * * ♦ 1 3 0 0  0 0 0 | 3 3 0 0 0 | 3 1 0
.. x.3o. .. ..    | 3 0 | 0 3  0 0 0 | * 2 *  *  * * * | 1 0 0 3  0 0 0 | 3 0 0 3 0 | 3 0 1
xx .. .. .. ..&#x | 2 2 | 1 0  2 1 0 | * * 9  *  * * * ♦ 0 2 2 0  0 0 0 | 1 4 1 0 0 | 2 2 0
.. xo .. .. ..&#x | 2 1 | 0 1  2 0 0 | * * * 18  * * * | 0 1 0 1  2 0 0 | 1 2 0 2 1 | 2 1 1
.. .. .. ox ..&#x | 1 2 | 0 0  2 0 1 | * * *  * 18 * * | 0 0 1 0  2 1 0 | 0 2 1 1 2 | 1 2 1
.x .. .. .x ..    | 0 4 | 0 0  0 2 2 | * * *  *  * 3 * ♦ 0 0 3 0  0 0 1 | 0 3 3 0 0 | 1 3 0
.. .. .. .x3.o    | 0 3 | 0 0  0 0 3 | * * *  *  * * 2 | 0 0 0 0  0 3 1 | 0 0 3 0 3 | 0 3 1
------------------+-----+------------+-----------------+----------------+-----------+------
x. x.3o. .. ..    ♦ 6 0 | 3 6  0 0 0 | 3 2 0  0  0 0 0 | 1 * * *  * * * | 3 0 0 0 0 | 3 0 0
xx xo .. .. ..&#x ♦ 4 2 | 2 2  4 1 0 | 1 0 2  2  0 0 0 | * 9 * *  * * * | 1 2 0 0 0 | 2 1 0
xx .. .. ox ..&#x ♦ 2 4 | 1 0  4 2 2 | 0 0 2  0  2 1 0 | * * 9 *  * * * | 0 2 1 0 0 | 1 2 0
.. xo3oo .. ..&#x ♦ 3 1 | 0 3  3 0 0 | 0 1 0  3  0 0 0 | * * * 6  * * * | 1 0 0 2 0 | 2 0 1
.. xo .. ox ..&#x ♦ 2 2 | 0 1  4 0 1 | 0 0 0  2  2 0 0 | * * * * 18 * * | 0 1 0 1 1 | 1 1 1
.. .. .. ox3oo&#x ♦ 1 3 | 0 0  3 0 3 | 0 0 0  0  3 0 1 | * * * *  * 6 * | 0 0 1 0 2 | 0 2 1
.x .. .. .x3.o    ♦ 0 6 | 0 0  0 3 6 | 0 0 0  0  0 3 2 | * * * *  * * 1 | 0 0 3 0 0 | 0 3 0
------------------+-----+------------+-----------------+----------------+-----------+------
xx xo3oo .. ..&#x ♦ 6 2 | 3 6  6 1 0 | 3 2 3  6  0 0 0 | 1 3 0 2  0 0 0 | 3 * * * * | 2 0 0
xx xo .. ox ..&#x ♦ 4 4 | 2 2  8 2 2 | 1 0 4  4  4 1 0 | 0 2 2 0  2 0 0 | * 9 * * * | 1 1 0
xx .. .. ox3oo&#x ♦ 2 6 | 1 0  6 3 6 | 0 0 3  0  6 3 2 | 0 0 3 0  0 2 1 | * * 3 * * | 0 2 0
.. xo3oo ox ..&#x ♦ 3 2 | 0 3  6 0 1 | 0 1 0  6  3 0 0 | 0 0 0 2  3 0 0 | * * * 6 * | 1 0 1
.. xo .. ox3oo&#x ♦ 2 3 | 0 1  6 0 3 | 0 0 0  3  6 0 1 | 0 0 0 0  3 2 0 | * * * * 6 | 0 1 1
------------------+-----+------------+-----------------+----------------+-----------+------
xx xo3oo ox ..&#x ♦ 6 4 | 3 6 12 2 2 | 3 2 6 12  6 1 0 | 1 6 3 4  6 0 0 | 2 3 0 2 0 | 3 * *
xx xo .. ox3oo&#x ♦ 4 6 | 2 2 12 3 6 | 1 0 6  6 12 3 2 | 0 3 6 0  6 4 1 | 0 3 2 0 2 | * 3 *
.. xo3oo ox3oo&#x ♦ 3 3 | 0 3  9 0 3 | 0 1 0  9  9 0 1 | 0 0 0 3  9 3 0 | 0 0 0 3 3 | * * 2

xxoo3oooo3oooo3oooo&#xr   → height(1,2) = height(3,4) = 1
                            height(1,4) = height(2,3) = sqrt(3/5) = 0.774597

o...3o...3o...3o...     | 5 * * * |  4 1 1  0 0 0 |  6  4 1  4  0  0 | 4  6  4  6 0  0 | 1 4  6 4 0 0 | 1 4 1 0
.o..3.o..3.o..3.o..     | * 5 * * |  0 1 0  4 1 0 |  0  4 1  0  6  4 | 0  6  4  0 4  6 | 0 4  6 0 1 4 | 1 4 0 1
..o.3..o.3..o.3..o.     | * * 1 * |  0 0 0  0 5 1 |  0  0 5  0  0 10 | 0  0 10  0 0 10 | 0 0 10 0 0 5 | 0 5 0 1
...o3...o3...o3...o     | * * * 1 |  0 0 5  0 0 1 |  0  0 5 10  0  0 | 0  0 10 10 0  0 | 0 0 10 5 0 0 | 0 5 1 0
------------------------+---------+---------------+------------------+-----------------+--------------+--------
x... .... .... ....     | 2 0 0 0 | 10 * *  * * * |  3  1 0  1  0  0 | 3  3  1  3 0  0 | 1 3  3 3 0 0 | 1 3 1 0
oo..3oo..3oo..3oo..&#x  | 1 1 0 0 |  * 5 *  * * * ♦  0  4 1  0  0  0 | 0  6  4  0 0  0 | 0 4  6 0 0 0 | 1 4 0 0
o..o3o..o3o..o3o..o&#x  | 1 0 0 1 |  * * 5  * * * |  0  0 1  4  0  0 | 0  0  4  6 0  0 | 0 0  6 4 0 0 | 0 4 1 0
.x.. .... .... ....     | 0 2 0 0 |  * * * 10 * * |  0  1 0  0  3  1 | 0  3  1  0 3  3 | 0 3  3 0 1 3 | 1 3 0 1
.oo.3.oo.3.oo.3.oo.&#x  | 0 1 1 0 |  * * *  * 5 * |  0  0 1  0  0  4 | 0  0  4  0 0  6 | 0 0  6 0 0 4 | 0 4 0 1
..oo3..oo3..oo3..oo&#x  | 0 0 1 1 |  * * *  * * 1 ♦  0  0 5  0  0  0 | 0  0 10  0 0  0 | 0 0 10 0 0 0 | 0 5 0 0
------------------------+---------+---------------+------------------+-----------------+--------------+--------
x...3o... .... ....     | 3 0 0 0 |  3 0 0  0 0 0 | 10  * *  *  *  * | 2  1  0  1 0  0 | 1 2  1 2 0 0 | 1 2 1 0
xx.. .... .... ....&#x  | 2 2 0 0 |  1 2 0  1 0 0 |  * 10 *  *  *  * ♦ 0  3  1  0 0  0 | 0 3  3 0 0 0 | 1 3 0 0
oooo3oooo3oooo3oooo&#xr | 1 1 1 1 |  0 1 1  0 1 1 |  *  * 5  *  *  * ♦ 0  0  4  0 0  0 | 0 0  6 0 0 0 | 0 4 0 0
x..o .... .... ....&#x  | 2 0 0 1 |  1 0 2  0 0 0 |  *  * * 10  *  * | 0  0  1  3 0  0 | 0 0  3 3 0 0 | 0 3 1 0
.x..3.o.. .... ....     | 0 3 0 0 |  0 0 0  3 0 0 |  *  * *  * 10  * | 0  1  0  0 2  1 | 0 2  1 0 1 2 | 1 2 0 1
.xo. .... .... ....&#x  | 0 2 1 0 |  0 0 0  1 2 0 |  *  * *  *  * 10 | 0  0  1  0 0  3 | 0 0  3 0 0 3 | 0 3 0 1
------------------------+---------+---------------+------------------+-----------------+--------------+--------
x...3o...3o... ....     ♦ 4 0 0 0 |  6 0 0  0 0 0 |  4  0 0  0  0  0 | 5  *  *  * *  * | 1 1  0 1 0 0 | 1 1 1 0
xx..3oo.. .... ....&#x  ♦ 3 3 0 0 |  3 3 0  3 0 0 |  1  3 0  0  1  0 | * 10  *  * *  * | 0 2  1 0 0 0 | 1 2 0 0
xxoo .... .... ....&#xr ♦ 2 2 1 1 |  1 2 2  1 2 1 |  0  1 2  1  0  1 | *  * 10  * *  * | 0 0  3 0 0 0 | 0 3 0 0
x..o3o..o .... ....&#x  ♦ 3 0 0 1 |  3 0 3  0 0 0 |  1  0 0  3  0  0 | *  *  * 10 *  * | 0 0  1 2 0 0 | 0 2 1 0
.x..3.o..3.o.. ....     ♦ 0 4 0 0 |  0 0 0  6 0 0 |  0  0 0  0  4  0 | *  *  *  * 5  * | 0 1  0 0 1 1 | 1 1 0 1
.xo.3.oo. .... ....&#x  ♦ 0 3 1 0 |  0 0 0  3 3 0 |  0  0 0  0  1  3 | *  *  *  * * 10 | 0 0  1 0 0 2 | 0 2 0 1
------------------------+---------+---------------+------------------+-----------------+--------------+--------
x...3o...3o...3o...     ♦ 5 0 0 0 | 10 0 0  0 0 0 | 10  0 0  0  0  0 | 5  0  0  0 0  0 | 1 *  * * * * | 1 0 1 0
xx..3oo..3oo.. ....&#x  ♦ 4 4 0 0 |  6 4 0  6 0 0 |  4  6 0  0  4  0 | 1  4  0  0 1  0 | * 5  * * * * | 1 1 0 0
xxoo3oooo .... ....&#xr ♦ 3 3 1 1 |  3 3 3  3 3 1 |  1  3 3  3  1  3 | 0  1  3  1 0  1 | * * 10 * * * | 0 2 0 0
x..o3o..o3o..o ....&#x  ♦ 4 0 0 1 |  6 0 4  0 0 0 |  4  0 0  6  0  0 | 1  0  0  4 0  0 | * *  * 5 * * | 0 1 1 0
.x..3.o..3.o..3.o..     ♦ 0 5 0 0 |  0 0 0 10 0 0 |  0  0 0  0 10  0 | 0  0  0  0 5  0 | * *  * * 1 * | 1 0 0 1
.xo.3.oo.3.oo. ....&#x  ♦ 0 4 1 0 |  0 0 0  6 4 0 |  0  0 0  0  4  6 | 0  0  0  0 1  4 | * *  * * * 5 | 0 1 0 1
------------------------+---------+---------------+------------------+-----------------+--------------+--------
xx..3oo..3oo..3oo..&#x  ♦ 5 5 0 0 | 10 5 0 10 0 0 | 10 10 0  0 10  0 | 5 10  0  0 5  0 | 1 5  0 0 1 0 | 1 * * *
xxoo3oooo3oooo ....&#xr ♦ 4 4 1 1 |  6 4 4  6 4 1 |  4  6 4  6  4  6 | 1  4  6  4 1  4 | 0 1  4 1 0 1 | * 5 * *
x..o3o..o3o..o3o..o&#x  ♦ 5 0 0 1 | 10 0 5  0 0 0 | 10  0 0 10  0  0 | 5  0  0 10 0  0 | 1 0  0 5 0 0 | * * 1 *
.xo.3.oo.3.oo.3.oo.&#x  ♦ 0 5 1 0 |  0 0 0 10 5 0 |  0  0 0  0 10 10 | 0  0  0  0 5 10 | 0 0  0 0 1 5 | * * * 1

xxoo3oooo3oooo ooxx&#xr   → height(1,2) = height(3,4) = 1
                            height(1,4) = height(2,3) = sqrt(3/8) = 0.612372

o...3o...3o... o...     | 4 * * * | 3 1 2 0 0 0 0 0 | 3 3 2  6 1 0  0 0 0 | 1 3  6 1 6 3 0 0 0 | 1 6 3 2 3 0 0 | 2 3 1 0
.o..3.o..3.o.. .o..     | * 4 * * | 0 1 0 3 2 0 0 0 | 0 3 2  0 0 3  6 1 0 | 0 3  6 1 0 0 1 6 3 | 1 6 3 0 0 2 3 | 2 3 0 1
..o.3..o.3..o. ..o.     | * * 2 * | 0 0 0 0 4 1 1 0 | 0 0 4  0 0 0  6 4 1 | 0 0  6 4 0 0 0 4 6 | 0 4 6 0 0 1 4 | 1 4 0 1
...o3...o3...o ...o     | * * * 2 | 0 0 4 0 0 0 1 1 | 0 0 4  6 4 0  0 0 1 | 0 0  6 4 4 6 0 0 0 | 0 4 6 1 4 0 0 | 1 4 1 0
------------------------+---------+-----------------+---------------------+--------------------+---------------+--------
x... .... .... ....     | 2 0 0 0 | 6 * * * * * * * | 2 1 0  2 0 0  0 0 0 | 1 2  2 0 4 1 0 0 0 | 1 4 1 2 2 0 0 | 2 2 1 0
oo..3oo..3oo.. oo..&#x  | 1 1 0 0 | * 4 * * * * * * ♦ 0 3 2  0 0 0  0 0 0 | 0 3  6 1 0 0 0 0 0 | 1 6 3 0 0 0 0 | 2 3 0 0
o..o3o..o3o..o o..o&#x  | 1 0 0 1 | * * 8 * * * * * | 0 0 1  3 1 0  0 0 0 | 0 0  3 1 3 3 0 0 0 | 0 3 3 1 3 0 0 | 1 3 1 0
.x.. .... .... ....     | 0 2 0 0 | * * * 6 * * * * | 0 1 0  0 0 2  2 0 0 | 0 2  2 0 0 0 1 4 1 | 1 4 1 0 0 2 2 | 2 2 0 1
.oo.3.oo.3.oo. .oo.&#x  | 0 1 1 0 | * * * * 8 * * * | 0 0 1  0 0 0  3 1 0 | 0 0  3 1 0 0 0 3 3 | 0 3 3 0 0 1 3 | 1 3 0 1
.... .... .... ..x.     | 0 0 2 0 | * * * * * 1 * * | 0 0 0  0 0 0  0 4 1 | 0 0  0 4 0 0 0 0 6 | 0 0 6 0 0 0 4 | 0 4 0 1
..oo3..oo3..oo ..oo&#x  | 0 0 1 1 | * * * * * * 2 * ♦ 0 0 4  0 0 0  0 0 1 | 0 0  6 4 0 0 0 0 0 | 0 4 6 0 0 0 0 | 1 4 0 0
.... .... .... ...x     | 0 0 0 2 | * * * * * * * 1 | 0 0 0  0 4 0  0 0 1 | 0 0  0 4 0 6 0 0 0 | 0 0 6 0 4 0 0 | 0 4 1 0
------------------------+---------+-----------------+---------------------+--------------------+---------------+--------
x...3o... .... ....     | 3 0 0 0 | 3 0 0 0 0 0 0 0 | 4 * *  * * *  * * * | 1 1  0 0 2 0 0 0 0 | 1 2 0 2 1 0 0 | 2 1 1 0
xx.. .... .... ....&#x  | 2 2 0 0 | 1 2 0 1 0 0 0 0 | * 6 *  * * *  * * * ♦ 0 2  2 0 0 0 0 0 0 | 1 4 1 0 0 0 0 | 2 2 0 0
oooo3oooo3oooo oooo&#xr | 1 1 1 1 | 0 1 1 0 1 0 1 0 | * * 8  * * *  * * * ♦ 0 0  3 1 0 0 0 0 0 | 0 3 3 0 0 0 0 | 1 3 0 0
x..o .... .... ....&#x  | 2 0 0 1 | 1 0 2 0 0 0 0 0 | * * * 12 * *  * * * | 0 0  1 0 2 1 0 0 0 | 0 2 1 1 2 0 0 | 1 2 1 0
.... .... .... o..x&#x  | 1 0 0 2 | 0 0 2 0 0 0 0 1 | * * *  * 4 *  * * * | 0 0  0 1 0 3 0 0 0 | 0 0 3 0 3 0 0 | 0 3 1 0
.x..3.o.. .... ....     | 0 3 0 0 | 0 0 0 3 0 0 0 0 | * * *  * * 4  * * * | 0 1  0 0 0 0 1 2 0 | 1 2 0 0 0 2 1 | 2 1 0 1
.xo. .... .... ....&#x  | 0 2 1 0 | 0 0 0 1 2 0 0 0 | * * *  * * * 12 * * | 0 0  1 0 0 0 0 2 1 | 0 2 1 0 0 1 2 | 1 2 0 1
.... .... .... .ox.&#x  | 0 1 2 0 | 0 0 0 0 2 1 0 0 | * * *  * * *  * 4 * | 0 0  0 1 0 0 0 0 3 | 0 0 3 0 0 0 3 | 0 3 0 1
.... .... .... ..xx&#x  | 0 0 2 2 | 0 0 0 0 0 1 2 1 | * * *  * * *  * * 1 ♦ 0 0  0 4 0 0 0 0 0 | 0 0 6 0 0 0 0 | 0 4 0 0
------------------------+---------+-----------------+---------------------+--------------------+---------------+--------
x...3o...3o... ....     ♦ 4 0 0 0 | 6 0 0 0 0 0 0 0 | 4 0 0  0 0 0  0 0 0 | 1 *  * * * * * * * | 1 0 0 2 0 0 0 | 2 0 1 0
xx..3oo.. .... ....&#x  ♦ 3 3 0 0 | 3 3 0 3 0 0 0 0 | 1 3 0  0 0 1  0 0 0 | * 4  * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
xxoo .... .... ....&#xr ♦ 2 2 1 1 | 1 2 2 1 2 0 1 0 | 0 1 2  1 0 0  1 0 0 | * * 12 * * * * * * | 0 2 1 0 0 0 0 | 1 2 0 0
.... .... .... ooxx&#xr ♦ 1 1 2 2 | 0 1 2 0 2 1 2 1 | 0 0 2  0 1 0  0 1 1 | * *  * 4 * * * * * | 0 0 3 0 0 0 0 | 0 3 0 0
x..o3o..o .... ....&#x  ♦ 3 0 0 1 | 3 0 3 0 0 0 0 0 | 1 0 0  3 0 0  0 0 0 | * *  * * 8 * * * * | 0 1 0 1 1 0 0 | 1 1 1 0
x..o .... .... o..x&#x  ♦ 2 0 0 2 | 1 0 4 0 0 0 0 1 | 0 0 0  2 2 0  0 0 0 | * *  * * * 6 * * * | 0 0 1 0 2 0 0 | 0 2 1 0
.x..3.o..3.o.. ....     ♦ 0 4 0 0 | 0 0 0 6 0 0 0 0 | 0 0 0  0 0 4  0 0 0 | * *  * * * * 1 * * | 1 0 0 0 0 2 0 | 2 0 0 1
.xo.3.oo. .... ....&#x  ♦ 0 3 1 0 | 0 0 0 3 3 0 0 0 | 0 0 0  0 0 1  3 0 0 | * *  * * * * * 8 * | 0 1 0 0 0 1 1 | 1 1 0 1
.xo. .... .... .ox.&#x  ♦ 0 2 2 0 | 0 0 0 1 4 1 0 0 | 0 0 0  0 0 0  2 2 0 | * *  * * * * * * 6 | 0 0 1 0 0 0 2 | 0 2 0 1
------------------------+---------+-----------------+---------------------+--------------------+---------------+--------
xx..3oo..3oo.. ....&#x  ♦ 4 4 0 0 | 6 4 0 6 0 0 0 0 | 4 6 0  0 0 4  0 0 0 | 1 4  0 0 0 0 1 0 0 | 1 * * * * * * | 2 0 0 0
xxoo3oooo .... ....&#xr ♦ 3 3 1 1 | 3 3 3 3 3 0 1 0 | 1 3 3  3 0 1  3 0 0 | 0 1  3 0 1 0 0 1 0 | * 8 * * * * * | 1 1 0 0
xxoo .... .... ooxx&#xr ♦ 2 2 2 2 | 1 2 4 1 4 1 2 1 | 0 1 4  2 2 0  2 2 1 | 0 0  2 2 0 1 0 0 1 | * * 6 * * * * | 0 2 0 0
x..o3o..o3o..o ....&#x  ♦ 4 0 0 1 | 6 0 4 0 0 0 0 0 | 4 0 0  6 0 0  0 0 0 | 1 0  0 0 4 0 0 0 0 | * * * 2 * * * | 1 0 1 0
x..o3o..o .... o..x&#x  ♦ 3 0 0 2 | 3 0 6 0 0 0 0 1 | 1 0 0  6 3 0  0 0 0 | 0 0  0 0 2 3 0 0 0 | * * * * 4 * * | 0 1 1 0
.xo.3.oo.3.oo. ....&#x  ♦ 0 4 1 0 | 0 0 0 6 4 0 0 0 | 0 0 0  0 0 4  6 0 0 | 0 0  0 0 0 0 1 4 0 | * * * * * 2 * | 1 0 0 1
.xo.3.oo. .... .ox.&#x  ♦ 0 3 2 0 | 0 0 0 3 6 1 0 0 | 0 0 0  0 0 1  6 3 0 | 0 0  0 0 0 0 0 2 3 | * * * * * * 4 | 0 1 0 1
------------------------+---------+-----------------+---------------------+--------------------+---------------+--------
xxoo3oooo3oooo ....&#xr ♦ 4 4 1 1 | 6 4 4 6 4 0 1 0 | 4 6 4  6 0 4  6 0 0 | 1 4  6 0 4 0 1 4 0 | 1 4 0 1 0 1 0 | 2 * * *
xxoo3oooo .... ooxx&#xr ♦ 3 3 2 2 | 3 3 6 3 6 1 2 1 | 1 3 6  6 3 1  6 3 1 | 0 1  6 3 2 3 0 2 3 | 0 2 3 0 1 0 1 | * 4 * *
x..o3o..o3o..o o..x&#x  ♦ 4 0 0 2 | 6 0 8 0 0 0 0 1 | 4 0 0 12 4 0  0 0 0 | 1 0  0 0 8 6 0 0 0 | 0 0 0 2 4 0 0 | * * 1 *
.xo.3.oo.3.oo. .ox.&#x  ♦ 0 4 2 0 | 0 0 0 6 8 1 0 0 | 0 0 0  0 0 4 12 4 0 | 0 0  0 0 0 0 1 8 6 | 0 0 0 0 0 2 4 | * * * 1

xxoo3oooo ooxx3oooo&#xr   → height(1,2) = height(3,4) = 1
                            height(1,4) = height(2,3) = 1/sqrt(3) = 0.577350

o...3o... o...3o...     | 3 * * * | 2 1 3 0 0 0 0 0 | 1 2 3 6 3 0 0 0 0 0 0 | 1 6 3 3 6 1 0 0 0 0 | 3 6 1 3 2 0 0 | 3 2 1 0
.o..3.o.. .o..3.o..     | * 3 * * | 0 1 0 2 3 0 0 0 | 0 2 3 0 0 1 6 3 0 0 0 | 1 6 3 0 0 0 3 6 1 0 | 3 6 1 0 0 3 2 | 3 2 0 1
..o.3..o. ..o.3..o.     | * * 3 * | 0 0 0 0 3 2 1 0 | 0 0 3 0 0 0 3 6 1 2 0 | 0 3 6 0 0 0 1 6 3 1 | 1 6 3 0 0 2 3 | 2 3 0 1
...o3...o ...o3...o     | * * * 3 | 0 0 3 0 0 0 1 2 | 0 0 3 3 6 0 0 0 0 2 1 | 0 3 6 1 6 3 0 0 0 1 | 1 6 3 2 3 0 0 | 2 3 1 0
------------------------+---------+-----------------+-----------------------+---------------------+---------------+--------
x... .... .... ....     | 2 0 0 0 | 3 * * * * * * * | 1 1 0 3 0 0 0 0 0 0 0 | 1 3 0 3 3 0 0 0 0 0 | 3 3 0 3 1 0 0 | 3 1 1 0
oo..3oo.. oo..3oo..&#x  | 1 1 0 0 | * 3 * * * * * * ♦ 0 2 3 0 0 0 0 0 0 0 0 | 1 6 3 0 0 0 0 0 0 0 | 3 6 1 0 0 0 0 | 3 2 0 0
o..o3o..o o..o3o..o&#x  | 1 0 0 1 | * * 9 * * * * * | 0 0 1 2 2 0 0 0 0 0 0 | 0 2 2 1 4 1 0 0 0 0 | 1 4 1 2 2 0 0 | 2 2 1 0
.x.. .... .... ....     | 0 2 0 0 | * * * 3 * * * * | 0 1 0 0 0 1 3 0 0 0 0 | 1 3 0 0 0 0 3 3 0 0 | 3 3 0 0 0 3 1 | 3 1 0 1
.oo.3.oo. .oo.3.oo.&#x  | 0 1 1 0 | * * * * 9 * * * | 0 0 1 0 0 0 2 2 0 0 0 | 0 2 2 0 0 0 1 4 1 0 | 1 4 1 0 0 2 2 | 2 2 0 1
.... .... ..x. ....     | 0 0 2 0 | * * * * * 3 * * | 0 0 0 0 0 0 0 3 1 1 0 | 0 0 3 0 0 0 0 3 3 1 | 0 3 3 0 0 1 3 | 1 3 0 1
..oo3..oo ..oo3..oo&#x  | 0 0 1 1 | * * * * * * 3 * ♦ 0 0 3 0 0 0 0 0 0 2 0 | 0 3 6 0 0 0 0 0 0 1 | 1 6 3 0 0 0 0 | 2 3 0 0
.... .... ...x ....     | 0 0 0 2 | * * * * * * * 3 | 0 0 0 0 3 0 0 0 0 1 1 | 0 0 3 0 3 3 0 0 0 1 | 0 3 3 1 3 0 0 | 1 3 1 0
------------------------+---------+-----------------+-----------------------+---------------------+---------------+--------
x...3o... .... ....     | 3 0 0 0 | 3 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 0 0 3 0 0 0 0 0 0 | 3 0 0 3 0 0 0 | 3 0 1 0
xx.. .... .... ....&#x  | 2 2 0 0 | 1 2 0 1 0 0 0 0 | * 3 * * * * * * * * * ♦ 1 3 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0
oooo3oooo oooo3oooo&#xr | 1 1 1 1 | 0 1 1 0 1 0 1 0 | * * 9 * * * * * * * * ♦ 0 2 2 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 | 2 2 0 0
x..o .... .... ....&#x  | 2 0 0 1 | 1 0 2 0 0 0 0 0 | * * * 9 * * * * * * * | 0 1 0 1 2 0 0 0 0 0 | 1 2 0 2 1 0 0 | 2 1 1 0
.... .... o..x ....&#x  | 1 0 0 2 | 0 0 2 0 0 0 0 1 | * * * * 9 * * * * * * | 0 0 1 0 2 1 0 0 0 0 | 0 2 1 1 2 0 0 | 1 2 1 0
.x..3.o.. .... ....     | 0 3 0 0 | 0 0 0 3 0 0 0 0 | * * * * * 1 * * * * * | 1 0 0 0 0 0 3 0 0 0 | 3 0 0 0 0 3 0 | 3 0 0 1
.xo. .... .... ....&#x  | 0 2 1 0 | 0 0 0 1 2 0 0 0 | * * * * * * 9 * * * * | 0 1 0 0 0 0 1 2 0 0 | 1 2 0 0 0 2 1 | 2 1 0 1
.... .... .ox. ....&#x  | 0 1 2 0 | 0 0 0 0 2 1 0 0 | * * * * * * * 9 * * * | 0 0 1 0 0 0 0 2 1 0 | 0 2 1 0 0 1 2 | 1 2 0 1
.... .... ..x.3..o.     | 0 0 3 0 | 0 0 0 0 0 3 0 0 | * * * * * * * * 1 * * | 0 0 0 0 0 0 0 0 3 1 | 0 0 3 0 0 0 3 | 0 3 0 1
.... .... ..xx ....&#x  | 0 0 2 2 | 0 0 0 0 0 1 2 1 | * * * * * * * * * 3 * ♦ 0 0 3 0 0 0 0 0 0 1 | 0 3 3 0 0 0 0 | 1 3 0 0
.... .... ...x3...o     | 0 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * 1 | 0 0 0 0 0 3 0 0 0 1 | 0 0 3 0 3 0 0 | 0 3 1 0
------------------------+---------+-----------------+-----------------------+---------------------+---------------+--------
xx..3oo.. .... ....&#x  ♦ 3 3 0 0 | 3 3 0 3 0 0 0 0 | 1 3 0 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0
xxoo .... .... ....&#xr ♦ 2 2 1 1 | 1 2 2 1 2 0 1 0 | 0 1 2 1 0 0 1 0 0 0 0 | * 9 * * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
.... .... ooxx ....&#xr ♦ 1 1 2 2 | 0 1 2 0 2 1 2 1 | 0 0 2 0 1 0 0 1 0 1 0 | * * 9 * * * * * * * | 0 2 1 0 0 0 0 | 1 2 0 0
x..o3o..o .... ....&#x  ♦ 3 0 0 1 | 3 0 3 0 0 0 0 0 | 1 0 0 3 0 0 0 0 0 0 0 | * * * 3 * * * * * * | 1 0 0 2 0 0 0 | 2 0 1 0
x..o .... o..x ....&#x  ♦ 2 0 0 2 | 1 0 4 0 0 0 0 1 | 0 0 0 2 2 0 0 0 0 0 0 | * * * * 9 * * * * * | 0 1 0 1 1 0 0 | 1 1 1 0
.... .... o..x3o..o&#x  ♦ 1 0 0 3 | 0 0 3 0 0 0 0 3 | 0 0 0 0 3 0 0 0 0 0 1 | * * * * * 3 * * * * | 0 0 1 0 2 0 0 | 0 2 1 0
.xo.3.oo. .... ....&#x  ♦ 0 3 1 0 | 0 0 0 3 3 0 0 0 | 0 0 0 0 0 1 3 0 0 0 0 | * * * * * * 3 * * * | 1 0 0 0 0 2 0 | 2 0 0 1
.xo. .... .ox. ....&#x  ♦ 0 2 2 0 | 0 0 0 1 4 1 0 0 | 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * 9 * * | 0 1 0 0 0 1 1 | 1 1 0 1
.... .... .ox.3.oo.&#x  ♦ 0 1 3 0 | 0 0 0 0 3 3 0 0 | 0 0 0 0 0 0 0 3 1 0 0 | * * * * * * * * 3 * | 0 0 1 0 0 0 2 | 0 2 0 1
.... .... ..xx3..oo&#x  ♦ 0 0 3 3 | 0 0 0 0 0 1 3 1 | 0 0 0 0 0 0 0 0 1 3 1 | * * * * * * * * * 1 | 0 0 3 0 0 0 0 | 0 3 0 0
------------------------+---------+-----------------+-----------------------+---------------------+---------------+--------
xxoo3oooo .... ....&#xr ♦ 3 3 1 1 | 3 3 3 3 3 0 1 0 | 1 3 3 3 0 1 3 0 0 0 0 | 1 3 0 1 0 0 1 0 0 0 | 3 * * * * * * | 2 0 0 0
xxoo .... ooxx ....&#xr ♦ 2 2 2 2 | 1 2 4 1 4 1 2 1 | 0 1 4 2 2 0 2 2 0 1 0 | 0 2 2 0 1 0 0 1 0 0 | * 9 * * * * * | 1 1 0 0
.... .... ooxx3oooo&#xr ♦ 1 1 3 3 | 0 1 3 0 3 3 3 3 | 0 0 3 0 3 0 0 3 1 3 1 | 0 0 3 0 0 1 0 0 1 1 | * * 3 * * * * | 0 2 0 0
x..o3o..o o..x ....&#x  ♦ 3 0 0 2 | 3 0 6 0 0 0 0 1 | 1 0 0 6 3 0 0 0 0 0 0 | 0 0 0 2 3 0 0 0 0 0 | * * * 3 * * * | 1 0 1 0
x..o .... o..x3o..o&#x  ♦ 2 0 0 3 | 1 0 6 0 0 0 0 3 | 0 0 0 3 6 0 0 0 0 0 1 | 0 0 0 0 3 2 0 0 0 0 | * * * * 3 * * | 0 1 1 0
.xo.3.oo. .ox. ....&#x  ♦ 0 3 2 0 | 0 0 0 3 6 1 0 0 | 0 0 0 0 0 1 6 3 0 0 0 | 0 0 0 0 0 0 2 3 0 0 | * * * * * 3 * | 1 0 0 1
.xo. .... .ox.3.oo.&#x  ♦ 0 2 3 0 | 0 0 0 1 6 3 0 0 | 0 0 0 0 0 0 3 6 1 0 0 | 0 0 0 0 0 0 0 3 2 0 | * * * * * * 3 | 0 1 0 1
------------------------+---------+-----------------+-----------------------+---------------------+---------------+--------
xxoo3oooo ooxx ....&#xr ♦ 3 3 2 2 | 3 3 6 3 6 1 2 1 | 1 3 6 6 3 1 6 3 0 1 0 | 1 6 3 2 3 0 2 3 0 0 | 2 3 0 1 0 1 0 | 3 * * *
xxoo .... ooxx3oooo&#xr ♦ 2 2 3 3 | 1 2 6 1 6 3 3 3 | 0 1 6 3 6 0 3 6 1 3 1 | 0 3 6 0 3 2 0 3 2 1 | 0 3 2 0 1 0 1 | * 3 * *
x..o3o..o o..x3o..o&#x  ♦ 3 0 0 3 | 3 0 9 0 0 0 0 3 | 1 0 0 9 9 0 0 0 0 0 1 | 0 0 0 3 9 3 0 0 0 0 | 0 0 0 3 3 0 0 | * * 1 *
.xo.3.oo. .ox.3.oo.&#x  ♦ 0 3 3 0 | 0 0 0 3 9 3 0 0 | 0 0 0 0 0 1 9 9 1 0 0 | 0 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 3 3 | * * * 1