Acronym hexip
Name hexadecachoron prism,
vertex figure of rag
Circumradius sqrt(3)/2 = 0.866025
Coordinates (1/sqrt(2), 0, 0, 0, 1/2)   & all permutations in all but last coord., all changes of sign
Confer
related segmentotera:
line||ope   squascop  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3o3o4o

. . . . . | 16 | 1  6 |  6 12 | 12  8 |  8 1
----------+----+------+-------+-------+-----
x . . . . |  2 | 8  *   6  0 | 12  0 |  8 0
. x . . . |  2 | * 48 |  1  4 |  4  4 |  4 1
----------+----+------+-------+-------+-----
x x . . . |  4 | 2  2 | 24  * |  4  0 |  4 0
. x3o . . |  3 | 0  3 |  * 64 |  1  2 |  2 1
----------+----+------+-------+-------+-----
x x3o . .   6 | 3  6 |  3  2 | 32  * |  2 0
. x3o3o .   4 | 0  6 |  0  4 |  * 32 |  1 1
----------+----+------+-------+-------+-----
x x3o3o .   8 | 4 12 |  6  8 |  4  2 | 16 *
. x3o3o4o   8 | 0 24 |  0 32 |  0 16 |  * 2

x x3o3o *c3o

. . . .    . | 16 | 1  6 |  6 12 | 12  4  4 | 4 4 1
-------------+----+------+-------+----------+------
x . . .    . |  2 | 8  *   6  0 | 12  0  0 | 4 4 0
. x . .    . |  2 | * 48 |  1  4 |  4  2  2 | 2 2 1
-------------+----+------+-------+----------+------
x x . .    . |  4 | 2  2 | 24  * |  4  0  0 | 2 2 0
. x3o .    . |  3 | 0  3 |  * 64 |  1  1  1 | 1 1 1
-------------+----+------+-------+----------+------
x x3o .    .   6 | 3  6 |  3  2 | 32  *  * | 1 1 0
. x3o3o    .   4 | 0  6 |  0  4 |  * 16  * | 1 0 1
. x3o . *c3o   4 | 0  6 |  0  4 |  *  * 16 | 0 1 1
-------------+----+------+-------+----------+------
x x3o3o    .   8 | 4 12 |  6  8 |  4  1  0 | 8 * *
x x3o . *c3o   8 | 4 12 |  6  8 |  4  0  1 | * 8 *
. x3o3o *c3o   8 | 0 24 |  0 32 |  0  8  8 | * * 2

xx3oo3oo4oo&#x   → height = 1
(hex || hex)

o.3o.3o.4o.    | 8 * |  6 1  0 | 12  6  0 |  8 12  0 | 1  8 0
.o3.o3.o4.o    | * 8 |  0 1  6 |  0  6 12 |  0 12  8 | 0  8 1
---------------+-----+---------+----------+----------+-------
x. .. .. ..    | 2 0 | 24 *  * |  4  1  0 |  4  4  0 | 1  4 0
oo3oo3oo4oo&#x | 1 1 |  * 8  *   0  6  0 |  0 12  0 | 0  8 0
.x .. .. ..    | 0 2 |  * * 24 |  0  1  4 |  0  4  4 | 0  4 1
---------------+-----+---------+----------+----------+-------
x.3o. .. ..    | 3 0 |  3 0  0 | 32  *  * |  2  1  0 | 1  2 0
xx .. .. ..&#x | 2 2 |  1 2  1 |  * 24  * |  0  4  0 | 0  4 0
.x3.o .. ..    | 0 3 |  0 0  3 |  *  * 32 |  0  1  2 | 0  2 1
---------------+-----+---------+----------+----------+-------
x.3o.3o. ..     4 0 |  6 0  0 |  4  0  0 | 16  *  * | 1  1 0
xx3oo .. ..&#x  3 3 |  3 3  3 |  1  3  1 |  * 32  * | 0  2 0
.x3.o3.o ..     0 4 |  0 0  6 |  0  0  4 |  *  * 16 | 0  1 1
---------------+-----+---------+----------+----------+-------
x.3o.3o.4o.     8 0 | 24 0  0 | 32  0  0 | 16  0  0 | 1  * *
xx3oo3oo ..&#x  4 4 |  6 4  6 |  4  6  4 |  1  4  1 | * 16 *
.x3.o3.o4.o     0 8 |  0 0 24 |  0  0 32 |  0  0 16 | *  * 1

xx3oo3oo *b3oo&#x   → height = 1
(hex || hex)

o.3o.3o. *b3o.    | 8 * |  6 1  0 | 12  6  0 | 4 4 12 0 0 | 1 4 4 0
.o3.o3.o *b3.o    | * 8 |  0 1  6 |  0  6 12 | 0 0 12 4 4 | 0 4 4 1
------------------+-----+---------+----------+------------+--------
x. .. ..    ..    | 2 0 | 24 *  * |  4  1  0 | 2 2  4 0 0 | 1 2 2 0
oo3oo3oo *b3oo&#x | 1 1 |  * 8  *   0  6  0 | 0 0 12 0 0 | 0 4 4 0
.x .. ..    ..    | 0 2 |  * * 24 |  0  1  4 | 0 0  4 2 2 | 0 2 2 1
------------------+-----+---------+----------+------------+--------
x.3o. ..    ..    | 3 0 |  3 0  0 | 32  *  * | 1 1  1 0 0 | 1 1 1 0
xx .. ..    ..&#x | 2 2 |  1 2  1 |  * 24  * | 0 0  4 0 0 | 0 2 2 0
.x3.o ..    ..    | 0 3 |  0 0  3 |  *  * 32 | 0 0  1 1 1 | 0 1 1 1
------------------+-----+---------+----------+------------+--------
x.3o.3o.    ..     4 0 |  6 0  0 |  4  0  0 | 8 *  * * * | 1 1 0 0
x.3o. .. *b3o.     4 0 |  6 0  0 |  4  0  0 | * 8  * * * | 1 0 1 0
xx3oo ..    ..&#x  3 3 |  3 3  3 |  1  3  1 | * * 32 * * | 0 1 1 0
.x3.o3.o    ..     0 4 |  0 0  6 |  0  0  4 | * *  * 8 * | 0 1 0 1
.x3.o .. *b3.x     0 4 |  0 0  6 |  0  0  4 | * *  * * 8 | 0 0 1 1
------------------+-----+---------+----------+------------+--------
x.3o.3o. *b3o.     8 0 | 24 0  0 | 32  0  0 | 8 8  0 0 0 | 1 * * *
xx3oo3oo    ..&#x  4 4 |  6 4  6 |  4  6  4 | 1 0  4 1 0 | * 8 * *
xx3oo .. *b3oo&#x  4 4 |  6 4  6 |  4  6  4 | 0 1  4 0 1 | * * 8 *
.x3.o3.o *b3.o     0 8 |  0 0 24 |  0  0 32 | 0 0  0 8 8 | * * * 1

xoox3oooo3oxxo&#xr   → height(1,2) = height(3,4) = 1/sqrt(2) = 0.707107
                       height(2,3) = height(4,1) = 1
(tet || (tet || dual tet) || dual tet)

o...3o...3o...     | 4 * * * | 3  3 1 0 0 0  0 0 | 3  6  3 3  3 0 0 0  0  0 0 | 1 3 3 1 3  6  3 0 0 0 0 0 0 0 | 1 1 3 3 1 0 0
.o..3.o..3.o..     | * 4 * * | 0  3 0 3 1 0  0 0 | 0  3  6 0  3 3 3 0  0  0 0 | 0 1 3 3 0  3  6 1 3 0 0 0 0 0 | 1 0 1 3 3 1 0
..o.3..o.3..o.     | * * 4 * | 0  0 1 0 0 3  3 0 | 0  0  0 3  3 0 0 3  6  3 0 | 0 0 0 0 3  6  3 0 0 1 3 3 1 0 | 0 1 3 3 1 0 1
...o3...o3...o     | * * * 4 | 0  0 0 0 1 0  3 3 | 0  0  0 0  3 0 3 0  3  6 3 | 0 0 0 0 0  3  6 0 3 0 1 3 3 1 | 0 0 1 3 3 1 1
-------------------+---------+-------------------+----------------------------+-------------------------------+--------------
x... .... ....     | 2 0 0 0 | 6  * * * * *  * * | 2  2  0 1  0 0 0 0  0  0 0 | 1 2 1 0 2  2  0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0
oo..3oo..3oo..&#x  | 1 1 0 0 | * 12 * * * *  * * | 0  2  2 0  1 0 0 0  0  0 0 | 0 1 2 1 0  2  2 0 0 0 0 0 0 0 | 1 0 1 2 1 0 0
o.o.3o.o.3o.o.&#x  | 1 0 1 0 | *  * 4 * * *  * *  0  0  0 3  3 0 0 0  0  0 0 | 0 0 0 0 3  6  3 0 0 0 0 0 0 0 | 0 1 3 3 1 0 0
.... .... .x..     | 0 2 0 0 | *  * * 6 * *  * * | 0  0  2 0  0 2 1 0  0  0 0 | 0 0 1 2 0  0  2 1 2 0 0 0 0 0 | 1 0 0 1 2 1 0
.o.o3.o.o3.o.o&#x  | 0 1 0 1 | *  * * * 4 *  * *  0  0  0 0  3 0 3 0  0  0 0 | 0 0 0 0 0  3  6 0 3 0 0 0 0 0 | 0 0 1 3 3 1 0
..x. .... ....     | 0 0 2 0 | *  * * * * 6  * * | 0  0  0 1  0 0 0 2  2  0 0 | 0 0 0 0 2  2  0 0 0 1 2 1 0 0 | 0 1 2 1 0 0 1
..oo3..oo3..oo&#x  | 0 0 1 1 | *  * * * * * 12 * | 0  0  0 0  1 0 0 0  2  2 0 | 0 0 0 0 0  2  2 0 0 0 1 2 1 0 | 0 0 1 2 1 0 1
.... .... ...x     | 0 0 0 2 | *  * * * * *  * 6 | 0  0  0 0  0 0 1 0  0  2 2 | 0 0 0 0 0  0  2 0 2 0 0 1 2 1 | 0 0 0 1 2 1 1
-------------------+---------+-------------------+----------------------------+-------------------------------+--------------
x...3o... ....     | 3 0 0 0 | 3  0 0 0 0 0  0 0 | 4  *  * *  * * * *  *  * * | 1 1 0 0 1  0  0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
xo.. .... ....&#x  | 2 1 0 0 | 1  2 0 0 0 0  0 0 | * 12  * *  * * * *  *  * * | 0 1 1 0 0  1  0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0
.... .... ox..&#x  | 1 2 0 0 | 0  2 0 1 0 0  0 0 | *  * 12 *  * * * *  *  * * | 0 0 1 1 0  0  1 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0
x.x. .... ....&#x  | 2 0 2 0 | 1  0 2 0 0 1  0 0 | *  *  * 6  * * * *  *  * * | 0 0 0 0 2  2  0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0
oooo3oooo3oooo&#xr | 1 1 1 1 | 0  1 1 0 1 0  1 0 | *  *  * * 12 * * *  *  * * | 0 0 0 0 0  2  2 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0
.... .o..3.x..     | 0 3 0 0 | 0  0 0 3 0 0  0 0 | *  *  * *  * 4 * *  *  * * | 0 0 0 1 0  0  0 1 1 0 0 0 0 0 | 1 0 0 0 1 1 0
.... .... .x.x&#x  | 0 2 0 2 | 0  0 0 1 2 0  0 1 | *  *  * *  * * 6 *  *  * * | 0 0 0 0 0  0  2 0 2 0 0 0 0 0 | 0 0 0 1 2 1 0
..x.3..o. ....     | 0 0 3 0 | 0  0 0 0 0 3  0 0 | *  *  * *  * * * 4  *  * * | 0 0 0 0 1  0  0 0 0 1 1 0 0 0 | 0 1 1 0 0 0 1
..xo .... ....&#x  | 0 0 2 1 | 0  0 0 0 0 1  2 0 | *  *  * *  * * * * 12  * * | 0 0 0 0 0  1  0 0 0 0 1 1 0 0 | 0 0 1 1 0 0 1
.... .... ..ox&#x  | 0 0 1 2 | 0  0 0 0 0 0  2 1 | *  *  * *  * * * *  * 12 * | 0 0 0 0 0  0  1 0 0 0 0 1 1 0 | 0 0 0 1 1 0 1
.... ...o3...x     | 0 0 0 3 | 0  0 0 0 0 0  0 3 | *  *  * *  * * * *  *  * 4 | 0 0 0 0 0  0  0 0 1 0 0 0 1 1 | 0 0 0 0 1 1 1
-------------------+---------+-------------------+----------------------------+-------------------------------+--------------
x...3o...3o...      4 0 0 0 | 6  0 0 0 0 0  0 0 | 4  0  0 0  0 0 0 0  0  0 0 | 1 * * * *  *  * * * * * * * * | 1 1 0 0 0 0 0
xo..3oo.. ....&#x   3 1 0 0 | 3  3 0 0 0 0  0 0 | 1  3  0 0  0 0 0 0  0  0 0 | * 4 * * *  *  * * * * * * * * | 1 0 1 0 0 0 0
xo.. .... ox..&#x   2 2 0 0 | 1  4 0 1 0 0  0 0 | 0  2  2 0  0 0 0 0  0  0 0 | * * 6 * *  *  * * * * * * * * | 1 0 0 1 0 0 0
.... oo..3ox..&#x   1 3 0 0 | 0  3 0 3 0 0  0 0 | 0  0  3 0  0 1 0 0  0  0 0 | * * * 4 *  *  * * * * * * * * | 1 0 0 0 1 0 0
x.x.3o.o. ....&#x   3 0 3 0 | 3  0 3 0 0 3  0 0 | 1  0  0 3  0 0 0 1  0  0 0 | * * * * 4  *  * * * * * * * * | 0 1 1 0 0 0 0
xoox .... ....&#xr  2 1 2 1 | 1  2 2 0 1 1  2 0 | 0  1  0 1  2 0 0 0  1  0 0 | * * * * * 12  * * * * * * * * | 0 0 1 1 0 0 0
.... .... oxxo&#xr  1 2 1 2 | 0  2 1 1 2 0  2 1 | 0  0  1 0  2 0 1 0  0  1 0 | * * * * *  * 12 * * * * * * * | 0 0 0 1 1 0 0
.o..3.o..3.x..      0 4 0 0 | 0  0 0 6 0 0  0 0 | 0  0  0 0  0 4 0 0  0  0 0 | * * * * *  *  * 1 * * * * * * | 1 0 0 0 0 1 0
.... .o.o3.x.x&#x   0 3 0 3 | 0  0 0 3 3 0  0 3 | 0  0  0 0  0 1 3 0  0  0 1 | * * * * *  *  * * 4 * * * * * | 0 0 0 0 1 1 0
..x.3..o.3..o.      0 0 4 0 | 0  0 0 0 0 6  0 0 | 0  0  0 0  0 0 0 4  0  0 0 | * * * * *  *  * * * 1 * * * * | 0 1 0 0 0 0 1
..xo3..oo ....&#x   0 0 3 1 | 0  0 0 0 0 3  3 0 | 0  0  0 0  0 0 0 1  3  0 0 | * * * * *  *  * * * * 4 * * * | 0 0 1 0 0 0 1
..xo .... ..ox&#x   0 0 2 2 | 0  0 0 0 0 1  4 1 | 0  0  0 0  0 0 0 0  2  2 0 | * * * * *  *  * * * * * 6 * * | 0 0 0 1 0 0 1
.... ..oo3..ox&#x   0 0 1 3 | 0  0 0 0 0 0  3 3 | 0  0  0 0  0 0 0 0  0  3 1 | * * * * *  *  * * * * * * 4 * | 0 0 0 0 1 0 1
...o3...o3...x      0 0 0 4 | 0  0 0 0 0 0  0 6 | 0  0  0 0  0 0 0 0  0  0 4 | * * * * *  *  * * * * * * * 1 | 0 0 0 0 0 1 1
-------------------+---------+-------------------+----------------------------+-------------------------------+--------------
xo..3oo..3ox..&#x   4 4 0 0 | 6 12 0 6 0 0  0 0 | 4 12 12 0  0 4 0 0  0  0 0 | 1 4 6 4 0  0  0 1 0 0 0 0 0 0 | 1 * * * * * *
x.x.3o.o.3o.o.&#x   4 0 4 0 | 6  0 4 0 0 6  0 0 | 4  0  0 6  0 0 0 4  0  0 0 | 1 0 0 0 4  0  0 0 0 1 0 0 0 0 | * 1 * * * * *
xoox3oooo ....&#xr  3 1 3 1 | 3  3 3 0 1 3  3 0 | 1  3  0 3  3 0 0 1  3  0 0 | 0 1 0 0 1  3  0 0 0 0 1 0 0 0 | * * 4 * * * *
xoox .... oxxo&#xr  2 2 2 2 | 1  4 2 1 2 1  4 1 | 0  2  2 1  4 0 1 0  2  2 0 | 0 0 1 0 0  2  2 0 0 0 0 1 0 0 | * * * 6 * * *
.... oooo3oxxo&#xr  1 3 1 3 | 0  3 1 3 3 0  3 3 | 0  0  3 0  3 1 3 0  0  3 1 | 0 0 0 1 0  0  3 0 1 0 0 0 1 0 | * * * * 4 * *
.o.o3.o.o3.x.x&#x   0 4 0 4 | 0  0 0 6 4 0  0 6 | 0  0  0 0  0 4 6 0  0  0 4 | 0 0 0 0 0  0  0 1 4 0 0 0 0 1 | * * * * * 1 *
..xo3..oo3..ox&#x   0 0 4 4 | 0  0 0 0 0 6 12 6 | 0  0  0 0  0 0 0 4 12 12 4 | 0 0 0 0 0  0  0 0 0 1 4 6 4 1 | * * * * * * 1
or
o...3o...3o...     & | 8 * |  3  3 1  0 | 3  6  3  3  3 0 | 1 3  3 1 3  6 0 | 1 1 4 3
.o..3.o..3.o..     & | * 8 |  0  3 1  3 | 0  3  6  3  3 3 | 0 1  3 3 3  6 1 | 1 1 4 3
---------------------+-----+------------+-----------------+-----------------+--------
x... .... ....     & | 2 0 | 12  * *  * | 2  2  0  1  0 0 | 1 2  1 0 2  2 0 | 1 1 2 1
oo..3oo..3oo..&#x  & | 1 1 |  * 24 *  * | 0  2  2  0  1 0 | 0 1  2 1 0  4 0 | 1 0 2 2
o.o.3o.o.3o.o.&#x  & | 1 1 |  *  * 8  *  0  0  0  3  3 0 | 0 0  0 0 3  9 0 | 0 1 4 3
.... .... .x..     & | 0 2 |  *  * * 12 | 0  0  2  1  0 2 | 0 0  1 2 2  2 1 | 1 1 2 1
---------------------+-----+------------+-----------------+-----------------+--------
x...3o... ....     & | 3 0 |  3  0 0  0 | 8  *  *  *  * * | 1 1  0 0 1  0 0 | 1 1 1 0
xo.. .... ....&#x  & | 2 1 |  1  2 0  0 | * 24  *  *  * * | 0 1  1 0 0  1 0 | 1 0 1 1
.... .... ox..&#x  & | 1 2 |  0  2 0  1 | *  * 24  *  * * | 0 0  1 1 0  1 0 | 1 0 1 1
x.x. .... ....&#x  & | 2 2 |  1  0 2  1 | *  *  * 12  * * | 0 0  0 0 2  2 0 | 0 1 2 1
oooo3oooo3oooo&#xr   | 2 2 |  0  2 2  0 | *  *  *  * 12 * | 0 0  0 0 0  4 0 | 0 0 2 2
.... .o..3.x..     & | 0 3 |  0  0 0  3 | *  *  *  *  * 8 | 0 0  0 1 1  0 1 | 1 1 1 0
---------------------+-----+------------+-----------------+-----------------+--------
x...3o...3o...     &  4 0 |  6  0 0  0 | 4  0  0  0  0 0 | 2 *  * * *  * * | 1 1 0 0
xo..3oo.. ....&#x  &  3 1 |  3  3 0  0 | 1  3  0  0  0 0 | * 8  * * *  * * | 1 0 1 0
xo.. .... ox..&#x  &  2 2 |  1  4 0  1 | 0  2  2  0  0 0 | * * 12 * *  * * | 1 0 0 1
.... oo..3ox..&#x  &  1 3 |  0  3 0  3 | 0  0  3  0  0 1 | * *  * 8 *  * * | 1 0 1 0
x.x.3o.o. ....&#x  &  3 3 |  3  0 3  3 | 1  0  0  3  0 1 | * *  * * 8  * * | 0 1 1 0
xoox .... ....&#xr &  3 3 |  1  4 3  1 | 0  1  1  1  2 0 | * *  * * * 24 * | 0 0 1 1
.o..3.o..3.x..     &  0 4 |  0  0 0  6 | 0  0  0  0  0 4 | * *  * * *  * 2 | 1 1 0 0
---------------------+-----+------------+-----------------+-----------------+--------
xo..3oo..3ox..&#x  &  4 4 |  6 12 0  6 | 4 12 12  0  0 4 | 1 4  6 4 0  0 1 | 2 * * *
x.x.3o.o.3o.o.&#x  &  4 4 |  6  0 4  6 | 4  0  0  6  0 4 | 1 0  0 0 4  0 1 | * 2 * *
xoox3oooo ....&#xr &  4 4 |  3  6 4  3 | 1  3  3  3  3 1 | 0 1  0 1 1  3 0 | * * 8 *
xoox .... oxxo&#xr    4 4 |  2  8 4  2 | 0  4  4  2  4 0 | 0 0  2 0 0  4 0 | * * * 6

xxx oxo3ooo4ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(line || pseudo ope || line)

o.. o..3o..4o..     | 2  * * | 1  6 0  0  0 0 | 6 12  0  0 0  0 | 12  8 0  0  0 | 8 1 0
.o. .o.3.o.4.o.     | * 12 * | 0  1 1  4  1 0 | 1  4  4  4 1  4 |  4  4 4  4  4 | 4 1 4
..o ..o3..o4..o     | *  * 2 | 0  0 0  0  6 1 | 0  0  0  0 6 12 |  0  0 0 12  8 | 0 1 8
--------------------+--------+----------------+-----------------+---------------+------
x.. ... ... ...     | 2  0 0 | 1  * *  *  * *  6  0  0  0 0  0 | 12  0 0  0  0 | 8 0 0
oo. oo.3oo.4oo.&#x  | 1  1 0 | * 12 *  *  * * | 1  4  0  0 0  0 |  4  4 0  0  0 | 4 1 0
.x. ... ... ...     | 0  2 0 | *  * 6  *  * *  1  0  4  0 1  0 |  4  0 4  4  0 | 4 0 4
... .x. ... ...     | 0  2 0 | *  * * 24  * * | 0  1  1  2 0  1 |  1  2 2  1  2 | 2 1 2
.oo .oo3.oo4.oo&#x  | 0  1 1 | *  * *  * 12 * | 0  0  0  0 1  4 |  0  0 0  4  4 | 0 1 4
..x ... ... ...     | 0  0 2 | *  * *  *  * 1  0  0  0  0 6  0 |  0  0 0 12  0 | 0 0 8
--------------------+--------+----------------+-----------------+---------------+------
xx. ... ... ...&#x  | 2  2 0 | 1  2 1  0  0 0 | 6  *  *  * *  * |  4  0 0  0  0 | 4 0 0
... ox. ... ...&#x  | 1  2 0 | 0  2 0  1  0 0 | * 24  *  * *  * |  1  2 0  0  0 | 2 1 0
.x. .x. ... ...     | 0  4 0 | 0  0 2  2  0 0 | *  * 12  * *  * |  1  0 2  1  0 | 2 0 2
... .x.3.o. ...     | 0  3 0 | 0  0 0  3  0 0 | *  *  * 16 *  * |  0  1 1  0  1 | 1 1 1
.xx ... ... ...&#x  | 0  2 2 | 0  0 1  0  2 1 | *  *  *  * 6  * |  0  0 0  4  0 | 0 0 4
... .xo ... ...&#x  | 0  2 1 | 0  0 0  1  2 0 | *  *  *  * * 24 |  0  0 0  1  2 | 0 1 2
--------------------+--------+----------------+-----------------+---------------+------
xx. ox. ... ...&#x   2  4 0 | 1  4 2  2  0 0 | 2  2  1  0 0  0 | 12  * *  *  * | 2 0 0
... ox.3oo. ...&#x   1  3 0 | 0  3 0  3  0 0 | 0  3  0  1 0  0 |  * 16 *  *  * | 1 1 0
.x. .x.3.o. ...      0  6 0 | 0  0 3  6  0 0 | 0  0  3  2 0  0 |  *  * 8  *  * | 1 0 1
.xx .xo ... ...&#x   0  4 2 | 0  0 2  2  4 1 | 0  0  1  0 2  2 |  *  * * 12  * | 0 0 2
... .xo3.oo ...&#x   0  3 1 | 0  0 0  3  3 0 | 0  0  0  1 0  3 |  *  * *  * 16 | 0 1 1
--------------------+--------+----------------+-----------------+---------------+------
xx. ox.3oo. ...&#x   2  6 0 | 1  6 3  6  0 0 | 3  6  3  2 0  0 |  3  2 1  0  0 | 8 * *
... oxo3ooo4ooo&#xt  1  6 1 | 0  6 0 12  6 0 | 0 12  0  8 0 12 |  0  8 0  0  8 | * 2 *
.xx .xo3.oo ...&#x   0  6 2 | 0  0 3  6  6 1 | 0  0  3  2 3  6 |  0  0 1  3  2 | * * 8

xx xo3oo3ox&#x   → height = 1/sqrt(2) = 0.707107
(tepe || inv tepe)

o. o.3o.3o.    | 8 * | 1  3  3 0  0 | 3 3  3  6  3 0 0 | 3 1  6  3 3  3 1 0 0 | 1 3 3 1 1 0
.o .o3.o3.o    | * 8 | 0  0  3 1  3 | 0 0  3  3  6 3 3 | 0 0  3  6 1  3 3 3 1 | 0 1 3 3 1 1
---------------+-----+--------------+------------------+----------------------+------------
x. .. .. ..    | 2 0 | 4  *  * *  *  3 0  3  0  0 0 0 | 3 0  6  3 0  0 0 0 0 | 1 3 3 1 0 0
.. x. .. ..    | 2 0 | * 12  * *  * | 1 2  0  2  0 0 0 | 2 1  2  0 2  1 0 0 0 | 1 2 1 0 1 0
oo oo3oo3oo&#x | 1 1 | *  * 24 *  * | 0 0  1  2  1 0 0 | 0 0  2  2 1  2 1 0 0 | 0 1 2 1 1 0
.x .. .. ..    | 0 2 | *  *  * 4  *  0 0  3  0  0 3 0 | 0 0  3  6 0  0 0 3 0 | 0 1 3 3 0 1
.. .. .. .x    | 0 2 | *  *  * * 12 | 0 0  0  0  2 1 2 | 0 0  0  2 0  1 2 2 1 | 0 0 1 2 1 1
---------------+-----+--------------+------------------+----------------------+------------
x. x. .. ..    | 4 0 | 2  2  0 0  0 | 6 *  *  *  * * * | 2 0  2  0 0  0 0 0 0 | 1 2 1 0 0 0
.. x.3o. ..    | 3 0 | 0  3  0 0  0 | * 8  *  *  * * * | 1 1  0  0 1  0 0 0 0 | 1 1 0 0 1 0
xx .. .. ..&#x | 2 2 | 1  0  2 1  0 | * * 12  *  * * * | 0 0  2  2 0  0 0 0 0 | 0 1 2 1 0 0
.. xo .. ..&#x | 2 1 | 0  1  2 0  0 | * *  * 24  * * * | 0 0  1  0 1  1 0 0 0 | 0 1 1 0 1 0
.. .. .. ox&#x | 1 2 | 0  0  2 0  1 | * *  *  * 24 * * | 0 0  0  1 0  1 1 0 0 | 0 0 1 1 1 0
.x .. .. .x    | 0 4 | 0  0  0 2  2 | * *  *  *  * 6 * | 0 0  0  2 0  0 0 2 0 | 0 0 1 2 0 1
.. .. .o3.x    | 0 3 | 0  0  0 0  3 | * *  *  *  * * 8 | 0 0  0  0 0  0 1 1 1 | 0 0 0 1 1 1
---------------+-----+--------------+------------------+----------------------+------------
x. x.3o. ..     6 0 | 3  6  0 0  0 | 3 2  0  0  0 0 0 | 4 *  *  * *  * * * * | 1 1 0 0 0 0
.. x.3o.3o.     4 0 | 0  6  0 0  0 | 0 4  0  0  0 0 0 | * 2  *  * *  * * * * | 1 0 0 0 1 0
xx xo .. ..&#x  4 2 | 2  2  4 1  0 | 1 0  2  2  0 0 0 | * * 12  * *  * * * * | 0 1 1 0 0 0
xx .. .. ox&#x  2 4 | 1  0  4 2  2 | 0 0  2  0  2 1 0 | * *  * 12 *  * * * * | 0 0 1 1 0 0
.. xo3oo ..&#x  3 1 | 0  3  3 0  0 | 0 1  0  3  0 0 0 | * *  *  * 8  * * * * | 0 1 0 0 1 0
.. xo .. ox&#x  2 2 | 0  1  4 0  1 | 0 0  0  2  2 0 0 | * *  *  * * 12 * * * | 0 0 1 0 1 0
.. .. oo3ox&#x  1 3 | 0  0  3 0  3 | 0 0  0  0  3 0 1 | * *  *  * *  * 8 * * | 0 0 0 1 1 0
.x .. .o3.x     0 6 | 0  0  0 3  6 | 0 0  0  0  0 3 2 | * *  *  * *  * * 4 * | 0 0 0 1 0 1
.. .o3.o3.x    | 0 4 | 0  0  0 0  6 | 0 0  0  0  0 0 4 | * *  *  * *  * * * 2 | 0 0 0 0 1 1
---------------+-----+--------------+------------------+----------------------+------------
x. x.3o.3o.     8 0 | 4 12  0 0  0 | 6 8  0  0  0 0 0 | 4 2  0  0 0  0 0 0 0 | 1 * * * * *
xx xo3oo ..&#x  6 2 | 3  6  6 1  0 | 3 2  3  6  0 0 0 | 1 0  3  0 2  0 0 0 0 | * 4 * * * *
xx xo .. ox&#x  4 4 | 2  2  8 2  2 | 1 0  4  4  4 1 0 | 0 0  2  2 0  2 0 0 0 | * * 6 * * *
xx .. oo3ox&#x  2 6 | 1  0  6 3  6 | 0 0  3  0  6 3 2 | 0 0  0  3 0  0 2 1 0 | * * * 4 * *
.. xo3oo3ox&#x  4 4 | 0  6 12 0  6 | 0 4  0 12 12 0 4 | 0 1  0  0 4  6 4 0 1 | * * * * 2 *
.x .o3.o3.x     0 8 | 0  0  0 4 12 | 0 0  0  0  0 6 8 | 0 0  0  0 0  0 0 4 2 | * * * * * 1

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