Acronym tethex
Name tetrahedron - hexadecachoron duoprism,
vertex figure of tark
Circumradius sqrt(7/8) = 0.935414
Confer
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

x3o3o x3o3o4o

. . . . . . . | 32 |  3  6 |  3  18  12 | 1 18  36  8 |  6  36 24 1 | 12 24 3 |  8 3
--------------+----+-------+------------+-------------+-------------+---------+-----
x . . . . . . |  2 | 48  * |  2   6   0 | 1 12  12  0 |  6  24  8 0 | 12 16 1 |  8 2
. . . x . . . |  2 |  * 96 |  0   3   4 | 0  3  12  4 |  1  12 12 1 |  4 12 3 |  4 3
--------------+----+-------+------------+-------------+-------------+---------+-----
x3o . . . . . |  3 |  3  0 | 32   *   * | 1  6   0  0 |  6  12  0 0 | 12  8 0 |  8 1
x . . x . . . |  4 |  2  2 |  * 144   * | 0  2   4  0 |  1   8  4 0 |  4  8 1 |  4 2
. . . x3o . . |  3 |  0  3 |  *   * 128 | 0  0   3  2 |  0   3  6 1 |  1  6 3 |  2 3
--------------+----+-------+------------+-------------+-------------+---------+-----
x3o3o . . . .   4 |  6  0 |  4   0   0 | 8  *   *  *   6   0  0 0 | 12  0 0 |  8 0
x3o . x . . .   6 |  6  3 |  2   3   0 | * 96   *  * |  1   4  0 0 |  4  4 0 |  4 1
x . . x3o . .   6 |  3  6 |  0   3   2 | *  * 192  * |  0   2  2 0 |  1  4 1 |  2 2
. . . x3o3o .   4 |  0  6 |  0   0   4 | *  *   * 64 |  0   0  3 1 |  0  3 3 |  1 3
--------------+----+-------+------------+-------------+-------------+---------+-----
x3o3o x . . .   8 | 12  4 |  8   6   0 | 2  4   0  0 | 24   *  * * |  4  0 0 |  4 0
x3o . x3o . .   9 |  9  9 |  3   9   3 | 0  3   3  0 |  * 128  * * |  1  2 0 |  2 1
x . . x3o3o .   8 |  4 12 |  0   6   8 | 0  0   4  2 |  *   * 96 * |  0  2 1 |  1 2
. . . x3o3o4o   8 |  0 24 |  0   0  32 | 0  0   0 16 |  *   *  * 4 |  0  0 3 |  0 3
--------------+----+-------+------------+-------------+-------------+---------+-----
x3o3o x3o . .  12 | 18 12 | 12  18   4 | 3 12   6  0 |  3   4  0 0 | 32  * * |  2 0
x3o . x3o3o .  12 | 12 18 |  4  18  12 | 0  6  12  3 |  0   4  3 0 |  * 64 * |  1 1
x . . x3o3o4o  16 |  8 48 |  0  24  64 | 0  0  32 32 |  0   0 16 2 |  *  * 6 |  0 2
--------------+----+-------+------------+-------------+-------------+---------+-----
x3o3o x3o3o .  16 | 24 24 | 16  36  16 | 4 24  24  4 |  6  16  6 0 |  4  4 0 | 16 *
x3o . x3o3o4o  24 | 24 72 |  8  72  96 | 0 24  96 48 |  0  32 48 3 |  0 16 3 |  * 4

x3o3o x3o3o *e3o

. . . . . .    . | 32 |  3  6 |  3  18  12 | 1 18  36  4  4 |  6  36 12 12 1 | 12 12 12 3 | 4 4 3
-----------------+----+-------+------------+----------------+----------------+------------+------
x . . . . .    . |  2 | 48  * |  2   6   0 | 1 12  12  0  0 |  6  24  4  4 0 | 12  8  8 1 | 4 4 2
. . . x . .    . |  2 |  * 96 |  0   3   4 | 0  3  12  2  2 |  1  12  6  6 1 |  4  6  6 3 | 2 2 3
-----------------+----+-------+------------+----------------+----------------+------------+------
x3o . . . .    . |  3 |  3  0 | 32   *   * | 1  6   0  0  0 |  6  12  0  0 0 | 12  4  4 0 | 4 4 1
x . . x . .    . |  4 |  2  2 |  * 144   * | 0  2   4  0  0 |  1   8  2  2 0 |  4  4  4 1 | 2 2 2
. . . x3o .    . |  3 |  0  3 |  *   * 128 | 0  0   3  1  1 |  0   3  3  3 1 |  1  3  3 3 | 1 1 3
-----------------+----+-------+------------+----------------+----------------+------------+------
x3o3o . . .    .   4 |  6  0 |  4   0   0 | 8  *   *  *  *   6   0  0  0 0 | 12  0  0 0 | 4 4 0
x3o . x . .    .   6 |  6  3 |  2   3   0 | * 96   *  *  * |  1   4  0  0 0 |  4  2  2 0 | 2 2 1
x . . x3o .    .   6 |  3  6 |  0   3   2 | *  * 192  *  * |  0   2  1  1 0 |  1  2  2 1 | 1 1 2
. . . x3o3o    .   4 |  0  6 |  0   0   4 | *  *   * 32  * |  0   0  3  0 1 |  0  3  0 3 | 1 0 3
. . . x3o . *e3o   4 |  0  6 |  0   0   4 | *  *   *  * 32 |  0   0  0  3 1 |  0  0  3 3 | 0 1 3
-----------------+----+-------+------------+----------------+----------------+------------+------
x3o3o x . .    .   8 | 12  4 |  8   6   0 | 2  4   0  0  0 | 24   *  *  * * |  4  0  0 0 | 2 2 0
x3o . x3o .    .   9 |  9  9 |  3   9   3 | 0  3   3  0  0 |  * 128  *  * * |  1  1  1 0 | 1 1 1
x . . x3o3o    .   8 |  4 12 |  0   6   8 | 0  0   4  2  0 |  *   * 48  * * |  0  2  0 1 | 1 0 2
x . . x3o . *e3o   8 |  4 12 |  0   6   8 | 0  0   4  0  2 |  *   *  * 48 * |  0  0  2 1 | 0 1 2
. . . x3o3o *e3o   8 |  0 24 |  0   0  32 | 0  0   0  8  8 |  *   *  *  * 4 |  0  0  0 3 | 0 0 3
-----------------+----+-------+------------+----------------+----------------+------------+------
x3o3o x3o .    .  12 | 18 12 | 12  18   4 | 3 12   6  0  0 |  3   4  0  0 0 | 32  *  * * | 1 1 0
x3o . x3o3o    .  12 | 12 18 |  4  18  12 | 0  6  12  3  0 |  0   4  3  0 0 |  * 32  * * | 1 0 1
x3o . x3o . *e3o  12 | 12 18 |  4  18  12 | 0  6  12  0  3 |  0   4  0  3 0 |  *  * 32 * | 0 1 1
x . . x3o3o *e3o  16 |  8 48 |  0  24  64 | 0  0  32 16 16 |  0   0  8  8 2 |  *  *  * 6 | 0 0 2
-----------------+----+-------+------------+----------------+----------------+------------+------
x3o3o x3o3o    .  16 | 24 24 | 16  36  16 | 4 24  24  4  0 |  6  16  6  0 0 |  4  4  0 0 | 8 * *
x3o3o x3o . *e3o  16 | 24 24 | 16  36  16 | 4 24  24  0  4 |  6  16  0  6 0 |  4  0  4 0 | * 8 *
x3o . x3o3o *e3o  24 | 24 72 |  8  72  96 | 0 24  96 24 24 |  0  32 24 24 3 |  0  8  8 3 | * * 4

xo3oo3ox xx3oo3oo&#x   → height = 1/sqrt(2) = 0.707107
(tetdip || para-dual tetdip)

o.3o.3o. o.3o.3o.    | 16  * |  3  3  3  0  0 |  3  9  3  6  3  9  0  0  0 | 1  9  9 1  3  3 18  1  9  9 0  0  0 0 | 3  9 3 1  9  9 18  3  9  3 0  0 0 | 3 3 3  9  9  6  3  3 0 0 | 1 3 3 3 1 0
.o3.o3.o .o3.o3.o    |  * 16 |  0  0  3  3  3 |  0  0  0  3  6  9  3  9  3 | 0  0  0 0  1  3  9  3 18  9 1  9  9 1 | 0  0 0 1  3  9  9  9 18  3 3  9 3 | 0 0 3  3  9  3  9  6 3 3 | 0 3 1 3 3 1
---------------------+-------+----------------+----------------------------+---------------------------------------+-----------------------------------+--------------------------+------------
x. .. .. .. .. ..    |  2  0 | 24  *  *  *  * |  2  3  0  2  0  0  0  0  0 | 1  6  3 0  2  1  6  0  0  0 0  0  0 0 | 3  6 1 1  6  3  6  0  0  0 0  0 0 | 3 2 3  6  3  2  0  0 0 0 | 1 3 2 1 0 0
.. .. .. x. .. ..    |  2  0 |  * 24  *  *  * |  0  3  2  0  0  3  0  0  0 | 0  3  6 1  0  0  6  0  3  6 0  0  0 0 | 1  6 3 0  3  3 12  1  6  3 0  0 0 | 2 3 1  6  6  6  2  3 0 0 | 1 2 3 3 1 0
oo3oo3oo oo3oo3oo&#x |  1  1 |  *  * 48  *  * |  0  0  0  2  2  3  0  0  0 | 0  0  0 0  1  2  6  1  6  3 0  0  0 0 | 0  0 0 1  3  6  6  3  6  1 0  0 0 | 0 0 3  3  6  2  3  2 0 0 | 0 3 1 2 1 0
.. .. .x .. .. ..    |  0  2 |  *  *  * 24  * |  0  0  0  0  2  0  2  3  0 | 0  0  0 0  0  1  0  2  6  0 1  6  3 0 | 0  0 0 1  0  3  0  6  6  0 3  6 1 | 0 0 3  0  3  0  6  2 3 2 | 0 3 0 1 2 1
.. .. .. .x .. ..    |  0  2 |  *  *  *  * 24 |  0  0  0  0  0  3  0  3  2 | 0  0  0 0  0  0  3  0  6  6 0  3  6 1 | 0  0 0 0  1  3  6  3 12  3 1  6 3 | 0 0 1  2  6  3  6  6 2 3 | 0 2 1 3 3 1
---------------------+-------+----------------+----------------------------+---------------------------------------+-----------------------------------+--------------------------+------------
x.3o. .. .. .. ..    |  3  0 |  3  0  0  0  0 | 16  *  *  *  *  *  *  *  * | 1  3  0 0  1  0  0  0  0  0 0  0  0 0 | 3  3 0 1  3  0  0  0  0  0 0  0 0 | 3 1 3  3  0  0  0  0 0 0 | 1 3 1 0 0 0
x. .. .. x. .. ..    |  4  0 |  2  2  0  0  0 |  * 36  *  *  *  *  *  *  * | 0  2  2 0  0  0  2  0  0  0 0  0  0 0 | 1  4 1 0  2  1  4  0  0  0 0  0 0 | 2 2 1  4  2  2  0  0 0 0 | 1 2 2 1 0 0
.. .. .. x.3o. ..    |  3  0 |  0  3  0  0  0 |  *  * 16  *  *  *  *  *  * | 0  0  3 1  0  0  0  0  0  3 0  0  0 0 | 0  3 3 0  0  0  6  0  3  3 0  0 0 | 1 3 0  3  3  6  1  3 0 0 | 1 1 3 3 1 0
xo .. .. .. .. ..&#x |  2  1 |  1  0  2  0  0 |  *  *  * 48  *  *  *  *  * | 0  0  0 0  1  1  3  0  0  0 0  0  0 0 | 0  0 0 1  3  3  3  0  0  0 0  0 0 | 0 0 3  3  3  1  0  0 0 0 | 0 3 1 1 0 0
.. .. ox .. .. ..&#x |  1  2 |  0  0  2  1  0 |  *  *  *  * 48  *  *  *  * | 0  0  0 0  0  1  0  1  3  0 0  0  0 0 | 0  0 0 1  0  3  0  3  3  0 0  0 0 | 0 0 3  0  3  0  3  1 0 0 | 0 3 0 1 1 0
.. .. .. xx .. ..&#x |  2  2 |  0  1  2  0  1 |  *  *  *  *  * 72  *  *  * | 0  0  0 0  0  0  2  0  2  2 0  0  0 0 | 0  0 0 0  1  2  4  1  4  1 0  0 0 | 0 0 1  2  4  2  2  2 0 0 | 0 2 1 2 1 0
.. .o3.x .. .. ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  *  * 16  *  * | 0  0  0 0  0  0  0  1  0  0 1  3  0 0 | 0  0 0 1  0  0  0  3  0  0 3  3 0 | 0 0 3  0  0  0  3  0 3 1 | 0 3 0 0 1 1
.. .. .x .x .. ..    |  0  4 |  0  0  0  2  2 |  *  *  *  *  *  *  * 36  * | 0  0  0 0  0  0  0  0  2  0 0  2  2 0 | 0  0 0 0  0  1  0  2  4  0 1  4 1 | 0 0 1  0  2  0  4  2 2 2 | 0 2 0 1 2 1
.. .. .. .x3.o ..    |  0  3 |  0  0  0  0  3 |  *  *  *  *  *  *  *  * 16 | 0  0  0 0  0  0  0  0  0  3 0  0  3 1 | 0  0 0 0  0  0  3  0  6  3 0  3 3 | 0 0 0  1  3  3  3  6 1 3 | 0 1 1 3 3 1
---------------------+-------+----------------+----------------------------+---------------------------------------+-----------------------------------+--------------------------+------------
x.3o.3o. .. .. ..      4  0 |  6  0  0  0  0 |  4  0  0  0  0  0  0  0  0 | 4  *  * *  *  *  *  *  *  * *  *  * * | 3  0 0 1  0  0  0  0  0  0 0  0 0 | 3 0 3  0  0  0  0  0 0 0 | 1 3 0 0 0 0
x.3o. .. x. .. ..      6  0 |  6  3  0  0  0 |  2  3  0  0  0  0  0  0  0 | * 24  * *  *  *  *  *  *  * *  *  * * | 1  2 0 0  1  0  0  0  0  0 0  0 0 | 2 1 1  2  0  0  0  0 0 0 | 1 2 1 0 0 0
x. .. .. x.3o. ..      6  0 |  3  6  0  0  0 |  0  3  2  0  0  0  0  0  0 | *  * 24 *  *  *  *  *  *  * *  *  * * | 0  2 1 0  0  0  2  0  0  0 0  0 0 | 1 2 0  2  1  2  0  0 0 0 | 1 1 2 1 0 0
.. .. .. x.3o.3o.      4  0 |  0  6  0  0  0 |  0  0  4  0  0  0  0  0  0 | *  *  * 4  *  *  *  *  *  * *  *  * *  0  0 3 0  0  0  0  0  0  3 0  0 0 | 0 3 0  0  0  6  0  3 0 0 | 1 0 3 3 1 0
xo3oo .. .. .. ..&#x   3  1 |  3  0  3  0  0 |  1  0  0  3  0  0  0  0  0 | *  *  * * 16  *  *  *  *  * *  *  * * | 0  0 0 1  3  0  0  0  0  0 0  0 0 | 0 0 3  3  0  0  0  0 0 0 | 0 3 1 0 0 0
xo .. ox .. .. ..&#x   2  2 |  1  0  4  1  0 |  0  0  0  2  2  0  0  0  0 | *  *  * *  * 24  *  *  *  * *  *  * * | 0  0 0 1  0  3  0  0  0  0 0  0 0 | 0 0 3  0  3  0  0  0 0 0 | 0 3 0 1 0 0
xo .. .. xx .. ..&#x   4  2 |  2  2  4  0  1 |  0  1  0  2  0  2  0  0  0 | *  *  * *  *  * 72  *  *  * *  *  * * | 0  0 0 0  1  1  2  0  0  0 0  0 0 | 0 0 1  2  2  1  0  0 0 0 | 0 2 1 1 0 0
.. oo3ox .. .. ..&#x   1  3 |  0  0  3  3  0 |  0  0  0  0  3  0  1  0  0 | *  *  * *  *  *  * 16  *  * *  *  * * | 0  0 0 1  0  0  0  3  0  0 0  0 0 | 0 0 3  0  0  0  3  0 0 0 | 0 3 0 0 1 0
.. .. ox xx .. ..&#x   2  4 |  0  1  4  2  2 |  0  0  0  0  2  2  0  1  0 | *  *  * *  *  *  *  * 72  * *  *  * * | 0  0 0 0  0  1  0  1  2  0 0  0 0 | 0 0 1  0  2  0  2  1 0 0 | 0 2 0 1 1 0
.. .. .. xx3oo ..&#x   3  3 |  0  3  3  0  3 |  0  0  1  0  0  3  0  0  1 | *  *  * *  *  *  *  *  * 48 *  *  * * | 0  0 0 0  0  0  2  0  2  1 0  0 0 | 0 0 0  1  2  2  1  2 0 0 | 0 1 1 2 1 0
.o3.o3.x .. .. ..      0  4 |  0  0  0  6  0 |  0  0  0  0  0  0  4  0  0 | *  *  * *  *  *  *  *  *  * 4  *  * * | 0  0 0 1  0  0  0  0  0  0 3  0 0 | 0 0 3  0  0  0  0  0 3 0 | 0 3 0 0 0 1
.. .o3.x .x .. ..      0  6 |  0  0  0  6  3 |  0  0  0  0  0  0  2  3  0 | *  *  * *  *  *  *  *  *  * * 24  * * | 0  0 0 0  0  0  0  1  0  0 1  2 0 | 0 0 1  0  0  0  2  0 2 1 | 0 2 0 0 1 1
.. .. .x .x3.o ..      0  6 |  0  0  0  3  6 |  0  0  0  0  0  0  0  3  2 | *  *  * *  *  *  *  *  *  * *  * 24 * | 0  0 0 0  0  0  0  0  2  0 0  2 1 | 0 0 0  0  1  0  2  2 1 2 | 0 1 0 1 2 1
.. .. .. .x3.o3.o      0  4 |  0  0  0  0  6 |  0  0  0  0  0  0  0  0  4 | *  *  * *  *  *  *  *  *  * *  *  * 4  0  0 0 0  0  0  0  0  0  3 0  0 3 | 0 0 0  0  0  3  0  6 0 3 | 0 0 1 3 3 1
---------------------+-------+----------------+----------------------------+---------------------------------------+-----------------------------------+--------------------------+------------
x.3o.3o. x. .. ..      8  0 | 12  4  0  0  0 |  8  6  0  0  0  0  0  0  0 | 2  4  0 0  0  0  0  0  0  0 0  0  0 0 | 6  * * *  *  *  *  *  *  * *  * * | 2 0 1  0  0  0  0  0 0 0 | 1 2 0 0 0 0
x.3o. .. x.3o. ..      9  0 |  9  9  0  0  0 |  3  9  3  0  0  0  0  0  0 | 0  3  3 0  0  0  0  0  0  0 0  0  0 0 | * 16 * *  *  *  *  *  *  * *  * * | 1 1 0  1  0  0  0  0 0 0 | 1 1 1 0 0 0
x. .. .. x.3o.3o.      8  0 |  4 12  0  0  0 |  0  6  8  0  0  0  0  0  0 | 0  0  4 2  0  0  0  0  0  0 0  0  0 0 | *  * 6 *  *  *  *  *  *  * *  * * | 0 2 0  0  0  2  0  0 0 0 | 1 0 2 1 0 0
xo3oo3ox .. .. ..&#x   4  4 |  6  0 12  6  0 |  4  0  0 12 12  0  4  0  0 | 1  0  0 0  4  6  0  4  0  0 1  0  0 0 | *  * * 4  *  *  *  *  *  * *  * * | 0 0 3  0  0  0  0  0 0 0 | 0 3 0 0 0 0
xo3oo .. xx .. ..&#x   6  2 |  6  3  6  0  1 |  2  3  0  6  0  3  0  0  0 | 0  1  0 0  2  0  3  0  0  0 0  0  0 0 | *  * * * 24  *  *  *  *  * *  * * | 0 0 1  2  0  0  0  0 0 0 | 0 2 1 0 0 0
xo .. ox xx .. ..&#x   4  4 |  2  2  8  2  2 |  0  1  0  4  4  4  0  1  0 | 0  0  0 0  0  2  2  0  2  0 0  0  0 0 | *  * * *  * 36  *  *  *  * *  * * | 0 0 1  0  2  0  0  0 0 0 | 0 2 0 1 0 0
xo .. .. xx3oo ..&#x   6  3 |  3  6  6  0  3 |  0  3  2  3  0  6  0  0  1 | 0  0  1 0  0  0  3  0  0  2 0  0  0 0 | *  * * *  *  * 48  *  *  * *  * * | 0 0 0  1  1  1  0  0 0 0 | 0 1 1 1 0 0
.. oo3ox xx .. ..&#x   2  6 |  0  1  6  6  3 |  0  0  0  0  6  3  2  3  0 | 0  0  0 0  0  0  0  2  3  0 0  1  0 0 | *  * * *  *  *  * 24  *  * *  * * | 0 0 1  0  0  0  2  0 0 0 | 0 2 0 0 1 0
.. .. ox xx3oo ..&#x   3  6 |  0  3  6  3  6 |  0  0  1  0  3  6  0  3  2 | 0  0  0 0  0  0  0  0  3  2 0  0  1 0 | *  * * *  *  *  *  * 48  * *  * * | 0 0 0  0  1  0  1  1 0 0 | 0 1 0 1 1 0
.. .. .. xx3oo3oo&#x   4  4 |  0  6  4  0  6 |  0  0  4  0  0  6  0  0  4 | 0  0  0 1  0  0  0  0  0  4 0  0  0 1 | *  * * *  *  *  *  *  * 12 *  * * | 0 0 0  0  0  2  0  2 0 0 | 0 0 1 2 1 0
.o3.o3.x .x .. ..      0  8 |  0  0  0 12  4 |  0  0  0  0  0  0  8  6  0 | 0  0  0 0  0  0  0  0  0  0 2  4  0 0 | *  * * *  *  *  *  *  *  * 6  * * | 0 0 1  0  0  0  0  0 2 0 | 0 2 0 0 0 1
.. .o3.x .x3.o ..      0  9 |  0  0  0  9  9 |  0  0  0  0  0  0  3  9  3 | 0  0  0 0  0  0  0  0  0  0 0  3  3 0 | *  * * *  *  *  *  *  *  * * 16 * | 0 0 0  0  0  0  1  0 1 1 | 0 1 0 0 1 1
.. .. .x .x3.o3.o      0  8 |  0  0  0  4 12 |  0  0  0  0  0  0  0  6  8 | 0  0  0 0  0  0  0  0  0  0 0  0  4 2 | *  * * *  *  *  *  *  *  * *  * 6 | 0 0 0  0  0  0  0  2 0 2 | 0 0 0 1 2 1
---------------------+-------+----------------+----------------------------+---------------------------------------+-----------------------------------+--------------------------+------------
x.3o.3o. x.3o. ..     12  0 | 18 12  0  0  0 | 12 18  4  0  0  0  0  0  0 | 3 12  6 0  0  0  0  0  0  0 0  0  0 0 | 3  4 0 0  0  0  0  0  0  0 0  0 0 | 4 * *  *  *  *  *  * * * | 1 1 0 0 0 0
x.3o. .. x.3o.3o.     12  0 | 12 18  0  0  0 |  4 18 12  0  0  0  0  0  0 | 0  6 12 3  0  0  0  0  0  0 0  0  0 0 | 0  4 3 0  0  0  0  0  0  0 0  0 0 | * 4 *  *  *  *  *  * * * | 1 0 1 0 0 0
xo3oo3ox xx .. ..&#x   8  8 | 12  4 24 12  4 |  8  6  0 24 24 12  8  6  0 | 2  4  0 0  8 12 12  8 12  0 2  4  0 0 | 1  0 0 2  4  6  0  4  0  0 1  0 0 | * * 6  *  *  *  *  * * * | 0 2 0 0 0 0
xo3oo .. xx3oo ..&#x   9  3 |  9  9  9  0  3 |  3  9  3  9  0  9  0  0  1 | 0  3  3 0  3  0  9  0  0  3 0  0  0 0 | 0  1 0 0  3  0  3  0  0  0 0  0 0 | * * * 16  *  *  *  * * * | 0 1 1 0 0 0
xo .. ox xx3oo ..&#x   6  6 |  3  6 12  3  6 |  0  3  2  6  6 12  0  3  2 | 0  0  1 0  0  3  6  0  6  4 0  0  1 0 | 0  0 0 0  0  3  2  0  2  0 0  0 0 | * * *  * 24  *  *  * * * | 0 1 0 1 0 0
xo .. .. xx3oo3oo&#x   8  4 |  4 12  8  0  6 |  0  6  8  4  0 12  0  0  4 | 0  0  4 2  0  0  6  0  0  8 0  0  0 1 | 0  0 1 0  0  0  4  0  0  2 0  0 0 | * * *  *  * 12  *  * * * | 0 0 1 1 0 0
.. oo3ox xx3oo ..&#x   3  9 |  0  3  9  9  9 |  0  0  1  0  9  9  3  9  3 | 0  0  0 0  0  0  0  3  9  3 0  3  3 0 | 0  0 0 0  0  0  0  3  3  0 0  1 0 | * * *  *  *  * 16  * * * | 0 1 0 0 1 0
.. .. ox xx3oo3oo&#x   4  8 |  0  6  8  4 12 |  0  0  4  0  4 12  0  6  8 | 0  0  0 1  0  0  0  0  6  8 0  0  4 2 | 0  0 0 0  0  0  0  0  4  2 0  0 1 | * * *  *  *  *  * 12 * * | 0 0 0 1 1 0
.o3.o3.x .x3.o ..      0 12 |  0  0  0 18 12 |  0  0  0  0  0  0 12 18  4 | 0  0  0 0  0  0  0  0  0  0 3 12  6 0 | 0  0 0 0  0  0  0  0  0  0 3  4 0 | * * *  *  *  *  *  * 4 * | 0 1 0 0 0 1
.. .o3.x .x3.o3.o      0 12 |  0  0  0 12 18 |  0  0  0  0  0  0  4 18 12 | 0  0  0 0  0  0  0  0  0  0 0  6 12 3 | 0  0 0 0  0  0  0  0  0  0 0  4 3 | * * *  *  *  *  *  * * 4 | 0 0 0 0 1 1
---------------------+-------+----------------+----------------------------+---------------------------------------+-----------------------------------+--------------------------+------------
x.3o.3o. x.3o.3o.     16  0 | 24 24  0  0  0 | 16 36 16  0  0  0  0  0  0 | 4 24 24 4  0  0  0  0  0  0 0  0  0 0 | 6 16 6 0  0  0  0  0  0  0 0  0 0 | 4 4 0  0  0  0  0  0 0 0 | 1 * * * * *
xo3oo3ox xx3oo ..&#x  12 12 | 18 12 36 18 12 | 12 18  4 36 36 36 12 18  4 | 3 12  6 0 12 18 36 12 36 12 3 12  6 0 | 3  4 0 3 12 18 12 12 12  0 3  4 0 | 1 0 3  4  6  0  4  0 1 0 | * 4 * * * *
xo3oo .. xx3oo3oo&#x  12  4 | 12 18 12  0  6 |  4 18 12 12  0 18  0  0  4 | 0  6 12 3  4  0 18  0  0 12 0  0  0 1 | 0  4 3 0  6  0 12  0  0  3 0  0 0 | 0 1 0  4  0  3  0  0 0 0 | * * 4 * * *
xo .. ox xx3oo3oo&#x   8  8 |  4 12 16  4 12 |  0  6  8  8  8 24  0  6  8 | 0  0  4 2  0  4 12  0 12 16 0  0  4 2 | 0  0 1 0  0  6  8  0  8  4 0  0 1 | 0 0 0  0  4  2  0  2 0 0 | * * * 6 * *
.. oo3ox xx3oo3oo&#x   4 12 |  0  6 12 12 18 |  0  0  4  0 12 18  4 18 12 | 0  0  0 1  0  0  0  4 18 12 0  6 12 3 | 0  0 0 0  0  0  0  6 12  3 0  4 3 | 0 0 0  0  0  0  4  3 0 1 | * * * * 4 *
.o3.o3.x .x3.o3.o      0 16 |  0  0  0 24 24 |  0  0  0  0  0  0 16 36 16 | 0  0  0 0  0  0  0  0  0  0 4 24 24 4 | 0  0 0 0  0  0  0  0  0  0 6 16 6 | 0 0 0  0  0  0  0  0 4 4 | * * * * * 1

xo3oo xx3oo3oo4oo&#x   → height = sqrt(2/3) = 0.816497
(trahex || hex)

o.3o. o.3o.3o.4o.    | 24 * |  2  6  1  0 | 1 12 12  2  6  0 |  6 24  8 1 12 12  0 | 12 16 1  6 24  8 0 |  8 2 12 16 1 | 1  8 2
.o3.o .o3.o3.o4.o    |  * 8 |  0  0  3  6 | 0  0  0  3 18 12 |  0  0  0 1 18 36  8 |  0  0 0  6 36 24 1 |  0 0 12 24 3 | 0  8 3
---------------------+------+-------------+------------------+---------------------+--------------------+--------------+-------
x. .. .. .. .. ..    |  2 0 | 24  *  *  * | 1  6  0  1  0  0 |  6 12  0 1  6  0  0 | 12  8 0  6 12  0 0 |  8 1 12  8 0 | 1  8 1
.. .. x. .. .. ..    |  2 0 |  * 72  *  * | 0  2  4  0  1  0 |  1  8  4 0  2  4  0 |  4  8 1  1  8  4 0 |  4 2  4  8 1 | 1  4 2
oo3oo oo3oo3oo4oo&#x |  1 1 |  *  * 24  * | 0  0  0  2  6  0 |  0  0  0 1 12 12  0 |  0  0 0  6 24  8 0 |  0 0 12 16 1 | 0  8 2
.. .. .x .. .. ..    |  0 2 |  *  *  * 24 | 0  0  0  0  3  4 |  0  0  0 0  3 12  4 |  0  0 0  1 12 12 1 |  0 0  4 12 3 | 0  4 3
---------------------+------+-------------+------------------+---------------------+--------------------+--------------+-------
x.3o. .. .. .. ..    |  3 0 |  3  0  0  0 | 8  *  *  *  *  * |  6  0  0 1  0  0  0 | 12  0 0  6  0  0 0 |  8 0 12  0 0 | 1  8 0
x. .. x. .. .. ..    |  4 0 |  2  2  0  0 | * 72  *  *  *  * |  1  4  0 0  1  0  0 |  4  4 0  1  4  0 0 |  4 1  4  4 0 | 1  4 1
.. .. x.3o. .. ..    |  3 0 |  0  3  0  0 | *  * 96  *  *  * |  0  2  2 0  0  1  0 |  1  4 1  0  2  2 0 |  2 2  1  4 1 | 1  2 2
xo .. .. .. .. ..&#x |  2 1 |  1  0  2  0 | *  *  * 24  *  * |  0  0  0 1  6  0  0 |  0  0 0  6 12  0 0 |  0 0 12  8 0 | 0  8 1
.. .. xx .. .. ..&#x |  2 2 |  0  1  2  1 | *  *  *  * 72  * |  0  0  0 0  2  4  0 |  0  0 0  1  8  4 0 |  0 0  4  8 1 | 0  4 2
.. .. .x3.o .. ..    |  0 3 |  0  0  0  3 | *  *  *  *  * 32 |  0  0  0 0  0  3  2 |  0  0 0  0  3  6 1 |  0 0  1  6 3 | 0  2 3
---------------------+------+-------------+------------------+---------------------+--------------------+--------------+-------
x.3o. x. .. .. ..      6 0 |  6  3  0  0 | 2  3  0  0  0  0 | 24  *  * *  *  *  * |  4  0 0  1  0  0 0 |  4 0  4  0 0 | 1  4 0
x. .. x.3o. .. ..      6 0 |  3  6  0  0 | 0  3  2  0  0  0 |  * 96  * *  *  *  * |  1  2 0  0  1  0 0 |  2 1  1  2 0 | 1  2 1
.. .. x.3o.3o. ..      4 0 |  0  6  0  0 | 0  0  4  0  0  0 |  *  * 48 *  *  *  * |  0  2 1  0  0  1 0 |  1 2  0  2 1 | 1  1 2
xo3oo .. .. .. ..&#x   3 1 |  3  0  3  0 | 1  0  0  3  0  0 |  *  *  * 8  *  *  *   0  0 0  6  0  0 0 |  0 0 12  0 0 | 0  8 0
xo .. xx .. .. ..&#x   4 2 |  2  2  4  1 | 0  1  0  2  2  0 |  *  *  * * 72  *  * |  0  0 0  1  4  0 0 |  0 0  4  4 0 | 0  4 1
.. .. xx3oo .. ..&#x   3 3 |  0  3  3  3 | 0  0  1  0  3  1 |  *  *  * *  * 96  * |  0  0 0  0  2  2 0 |  0 0  1  4 1 | 0  2 2
.. .. .x3.o3.o ..      0 4 |  0  0  0  6 | 0  0  0  0  0  4 |  *  *  * *  *  * 16 |  0  0 0  0  0  3 1 |  0 0  0  3 3 | 0  1 3
---------------------+------+-------------+------------------+---------------------+--------------------+--------------+-------
x.3o. x.3o. .. ..      9 0 |  9  9  0  0 | 3  9  3  0  0  0 |  3  3  0 0  0  0  0 | 32  * *  *  *  * * |  2 0  1  0 0 | 1  2 0
x. .. x.3o.3o. ..      8 0 |  4 12  0  0 | 0  6  8  0  0  0 |  0  4  2 0  0  0  0 |  * 48 *  *  *  * * |  1 1  0  1 0 | 1  1 1
.. .. x.3o.3o.4o.      8 0 |  0 24  0  0 | 0  0 32  0  0  0 |  0  0 16 0  0  0  0 |  *  * 3  *  *  * * |  0 2  0  0 1 | 1  0 2
xo3oo xx .. .. ..&#x   6 2 |  6  3  6  1 | 2  3  0  6  3  0 |  1  0  0 2  3  0  0 |  *  * * 24  *  * * |  0 0  4  0 0 | 0  4 0
xo .. xx3oo .. ..&#x   6 3 |  3  6  6  3 | 0  3  2  3  6  1 |  0  1  0 0  3  2  0 |  *  * *  * 96  * * |  0 0  1  2 0 | 0  2 1
.. .. xx3oo3oo ..&#x   4 4 |  0  6  4  6 | 0  0  4  0  6  4 |  0  0  1 0  0  4  1 |  *  * *  *  * 48 * |  0 0  0  2 1 | 0  1 2
.. .. .x3.o3.o4.o      0 8 |  0  0  0 24 | 0  0  0  0  0 32 |  0  0  0 0  0  0 16 |  *  * *  *  *  * 1 |  0 0  0  0 3 | 0  0 3
---------------------+------+-------------+------------------+---------------------+--------------------+--------------+-------
x.3o. x.3o.3o. ..     12 0 | 12 18  0  0 | 4 18 12  0  0  0 |  6 12  3 0  0  0  0 |  4  3 0  0  0  0 0 | 16 *  *  * * | 1  1 0
x. .. x.3o.3o.4o.     16 0 |  8 48  0  0 | 0 24 64  0  0  0 |  0 32 32 0  0  0  0 |  0 16 2  0  0  0 0 |  * 3  *  * * | 1  0 1
xo3oo xx3oo .. ..&#x   9 3 |  9  9  9  3 | 3  9  3  9  9  1 |  3  3  0 3  9  3  0 |  1  0 0  3  3  0 0 |  * * 32  * * | 0  2 0
xo .. xx3oo3oo ..&#x   8 4 |  4 12  8  6 | 0  6  8  4 12  4 |  0  4  2 0  6  8  1 |  0  1 0  0  4  2 0 |  * *  * 48 * | 0  1 1
.. .. xx3oo3oo4oo&#x   8 8 |  0 24  8 24 | 0  0 32  0 24 32 |  0  0 16 0  0 32 16 |  0  0 1  0  0 16 1 |  * *  *  * 3 | 0  0 2
---------------------+------+-------------+------------------+---------------------+--------------------+--------------+-------
x.3o. x.3o.3o.4o.     24 0 | 24 72  0  0 | 8 72 96  0  0  0 | 24 96 48 0  0  0  0 | 32 48 3  0  0  0 0 | 16 3  0  0 0 | 1  * *
xo3oo xx3oo3oo ..&#x  12 4 | 12 18 12  6 | 4 18 12 12 18  4 |  6 12  3 4 18 12  1 |  4  3 0  6 12  3 0 |  1 0  4  3 0 | * 16 *
xo .. xx3oo3oo4oo&#x  16 8 |  8 48 16 24 | 0 24 64  8 48 32 |  0 32 32 0 24 64 16 |  0 16 2  0 32 32 1 |  0 1  0 16 2 | *  * 3

xo ox xx3oo3oo4oo&#x   → 1/sqrt(2) = 0.707107
(hexip || lacing-ortho hexip)

o. o. o.3o.3o.4o.    & | 32 |  1  6  2 |  6  12  3 12 | 12  8 1 18  24 |  8 1  6  36 16 | 1 12 24 2 |  8 3
-----------------------+----+----------+--------------+----------------+----------------+-----------+-----
x. .. .. .. .. ..    & |  2 | 16  *  * |  6   0  2  0 | 12  0 1 12   0 |  8 0  6  24  0 | 1 12 16 0 |  8 2
.. .. x. .. .. ..    & |  2 |  * 96  * |  1   4  0  2 |  4  4 0  3   8 |  4 1  1  12  8 | 1  4 12 2 |  4 3
oo oo oo3oo3oo4oo&#x   |  2 |  *  * 32 |  0   0  2  6 |  0  0 1 12  12 |  0 0  6  24  8 | 0 12 16 1 |  8 2
-----------------------+----+----------+--------------+----------------+----------------+-----------+-----
x. .. x. .. .. ..    & |  4 |  2  2  0 | 48   *  *  * |  4  0 0  2   0 |  4 0  1   8  0 | 1  4  8 0 |  4 2
.. .. x.3.o .. ..    & |  3 |  0  3  0 |  * 128  *  * |  1  2 0  0   2 |  2 1  0   3  4 | 1  1  6 2 |  2 3
xo .. .. .. .. ..&#x & |  3 |  1  0  2 |  *   * 32  * |  0  0 1  6   0 |  0 0  6  12  0 | 0 12  8 0 |  8 1
.. .. xx .. .. ..&#x   |  4 |  0  2  2 |  *   *  * 96 |  0  0 0  2   4 |  0 0  1   8  4 | 0  4  8 1 |  4 2
-----------------------+----+----------+--------------+----------------+----------------+-----------+-----
x. .. x.3o. .. ..    &   6 |  3  6  0 |  3   2  0  0 | 64  * *  *   * |  2 0  0   2  0 | 1  1  4 0 |  2 2
.. .. x.3o.3o. ..    &   4 |  0  6  0 |  0   4  0  0 |  * 64 *  *   * |  1 1  0   0  2 | 1  0  3 2 |  1 3
xo ox .. .. .. ..&#x     4 |  2  0  4 |  0   0  4  0 |  *  * 8  *   *   0 0  6   0  0 | 0 12  0 0 |  8 0
xo .. xx .. .. ..&#x &   6 |  2  3  4 |  1   0  2  2 |  *  * * 96   * |  0 0  1   4  0 | 0  4  4 0 |  4 1
.. .. xx3oo .. ..&#x     6 |  0  6  3 |  0   2  0  3 |  *  * *  * 128 |  0 0  0   2  2 | 0  1  4 1 |  2 2
-----------------------+----+----------+--------------+----------------+----------------+-----------+-----
x. .. x.3o.3o. ..    &   8 |  4 12  0 |  6   8  0  0 |  4  2 0  0   0 | 32 *  *   *  * | 1  0  2 0 |  1 2
.. .. x.3o.3o.4o.    &   8 |  0 24  0 |  0  32  0  0 |  0 16 0  0   0 |  * 4  *   *  * | 1  0  0 2 |  0 3
xo ox xx .. .. ..&#x     8 |  4  4  8 |  2   0  8  4 |  0  0 2  4   0 |  * * 24   *  * | 0  4  0 0 |  4 0
xo .. xx3oo .. ..&#x &   9 |  3  9  6 |  3   3  3  6 |  1  0 0  3   2 |  * *  * 128  * | 0  1  2 0 |  2 1
.. .. xx3oo3oo ..&#x     8 |  0 12  4 |  0   8  0  6 |  0  2 0  0   4 |  * *  *   * 64 | 0  0  2 1 |  1 2
-----------------------+----+----------+--------------+----------------+----------------+-----------+-----
x. .. x.3o.3o.4o.    &  16 |  8 48  0 | 24  64  0  0 | 32 32 0  0   0 | 16 2  0   0  0 | 2  *  * * |  0 2
xo ox xx3oo .. ..&#x    12 |  6 12 12 |  6   4 12 12 |  2  0 3 12   4 |  0 0  3   4  0 | * 32  * * |  2 0
xo .. xx3oo3oo ..&#x &  12 |  4 18  8 |  6  12  4 12 |  4  3 0  6   8 |  1 0  0   4  2 | *  * 64 * |  1 1
.. .. xx3oo3oo4oo&#x    16 |  0 48  8 |  0  64  0 24 |  0 32 0  0  32 |  0 2  0   0 16 | *  *  * 4 |  0 2
-----------------------+----+----------+--------------+----------------+----------------+-----------+-----
xo ox xx3oo3oo ..&#x    16 |  8 24 16 | 12  16 16 24 |  8  4 4 24  16 |  2 0  6  16  4 | 0  4  4 0 | 16 *
xo .. xx3oo3oo4oo&#x &  24 |  8 72 16 | 24  96  8 48 | 32 48 0 24  64 | 16 3  0  32 32 | 1  0 16 2 |  * 4

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