o   o		-- line
  p  		-- perp trip
3   3		-- para trip

  3  
p   l
  3  

     \   \
       \   +-- pen
         +---- inv traf

where:
o = o o3o (point)
l = x o3o (line)
3 = o o3x (triangle)
P = x x3o (gyro trip)

This polyteron is the external blend of 2 ditetafs along its tepe facet. Alternatively it can be derived from hin by rejection of two neighbourly chosen vertices.

However there is different bidiminished hin as well, where the two omitted vertices are the opposite ends of a former's hex facet, which then results in bidhin instead.

Incidence matrix according to Dynkin symbol

xox oxo oox3oxo&#xt   → both heights = 1/sqrt(6) = 0.408248
(line || perp trip || para-gyro trip)

o.. o.. o..3o..     | 2 * * ♦ 1  6 3 0 0  0 0 0 | 6 3  6 12 3 0  0  0  0  0 0 0 | 3 6 2  6  6  6 1 0 0 0 0 0 0 | 3 2 3 2 0 0
.o. .o. .o.3.o.     | * 6 * | 0  2 0 1 2  4 0 0 | 1 2  4  4 0 1  2  4  2  4 0 0 | 1 2 2  4  2  4 0 2 1 2 2 2 0 | 2 1 2 2 1 1
..o ..o ..o3..o     | * * 6 | 0  0 1 0 0  4 1 2 | 0 0  0  4 2 0  4  2  4  2 2 1 | 0 0 0  2  4  2 1 2 4 2 2 2 1 | 1 0 2 2 2 2
--------------------+-------+-------------------+-------------------------------+------------------------------+------------
x.. ... ... ...     | 2 0 0 | 1  * * * *  * * * ♦ 6 0  0  0 0 0  0  0  0  0 0 0 | 3 6 0  0  0  0 0 0 0 0 0 0 0 | 3 2 0 0 0 0
oo. oo. oo.3oo.&#x  | 1 1 0 | * 12 * * *  * * * ♦ 1 1  2  2 0 0  0  0  0  0 0 0 | 1 2 1  2  1  2 0 0 0 0 0 0 0 | 2 1 1 1 0 0
o.o o.o o.o3o.o&#x  | 1 0 1 | *  * 6 * *  * * * ♦ 0 0  0  4 2 0  0  0  0  0 0 0 | 0 0 0  2  4  2 1 0 0 0 0 0 0 | 1 0 2 2 0 0
... .x. ... ...     | 0 2 0 | *  * * 3 *  * * * | 0 2  0  0 0 0  0  4  0  0 0 0 | 1 0 0  4  0  0 0 2 0 0 2 0 0 | 2 0 2 0 1 0
... ... ... .x.     | 0 2 0 | *  * * * 6  * * * | 0 0  2  0 0 1  0  0  0  2 0 0 | 0 1 2  0  0  2 0 0 0 1 0 2 0 | 1 1 0 2 0 1
.oo .oo .oo3.oo&#x  | 0 1 1 | *  * * * * 24 * * | 0 0  0  1 0 0  1  1  1  1 0 0 | 0 0 0  1  1  1 0 1 1 1 1 1 0 | 1 0 1 1 1 1
..x ... ... ...     | 0 0 2 | *  * * * *  * 3 * | 0 0  0  0 0 0  4  0  0  0 2 0 | 0 0 0  0  0  0 0 2 4 2 0 0 1 | 1 0 0 0 2 2
... ... ..x ...     | 0 0 2 | *  * * * *  * * 6 | 0 0  0  0 1 0  0  0  2  0 1 1 | 0 0 0  0  2  0 1 0 2 0 1 2 1 | 0 0 1 2 1 2
--------------------+-------+-------------------+-------------------------------+------------------------------+------------
xo. ... ... ...&#x  | 2 1 0 | 1  2 0 0 0  0 0 0 | 6 *  *  * * *  *  *  *  * * * | 1 2 0  0  0  0 0 0 0 0 0 0 0 | 2 1 0 0 0 0
... ox. ... ...&#x  | 1 2 0 | 0  2 0 1 0  0 0 0 | * 6  *  * * *  *  *  *  * * * | 1 0 0  2  0  0 0 0 0 0 0 0 0 | 2 0 1 0 0 0
... ... ... ox.&#x  | 1 2 0 | 0  2 0 0 1  0 0 0 | * * 12  * * *  *  *  *  * * * | 0 1 1  0  0  1 0 0 0 0 0 0 0 | 1 1 0 1 0 0
ooo ooo ooo3ooo&#x  | 1 1 1 | 0  1 1 0 0  1 0 0 | * *  * 24 * *  *  *  *  * * * | 0 0 0  1  1  1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
... ... o.x ...&#x  | 1 0 2 | 0  0 2 0 0  0 0 1 | * *  *  * 6 *  *  *  *  * * * | 0 0 0  0  2  0 1 0 0 0 0 0 0 | 0 0 1 2 0 0
... ... .o.3.x.     | 0 3 0 | 0  0 0 0 3  0 0 0 | * *  *  * * 2  *  *  *  * * * | 0 0 2  0  0  0 0 0 0 0 0 2 0 | 0 1 0 2 0 1
.ox ... ... ...&#x  | 0 1 2 | 0  0 0 0 0  2 1 0 | * *  *  * * * 12  *  *  * * * | 0 0 0  0  0  0 0 1 1 1 0 0 0 | 1 0 0 0 1 1
... .xo ... ...&#x  | 0 2 1 | 0  0 0 1 0  2 0 0 | * *  *  * * *  * 12  *  * * * | 0 0 0  1  0  0 0 1 0 0 1 0 0 | 1 0 1 0 1 0
... ... .ox ...&#x  | 0 1 2 | 0  0 0 0 0  2 0 1 | * *  *  * * *  *  * 12  * * * | 0 0 0  0  1  0 0 0 1 0 1 1 0 | 0 0 1 1 1 1
... ... ... .xo&#x  | 0 2 1 | 0  0 0 0 1  2 0 0 | * *  *  * * *  *  *  * 12 * * | 0 0 0  0  0  1 0 0 0 1 0 1 0 | 1 0 0 1 0 1
..x ... ..x ...     | 0 0 4 | 0  0 0 0 0  0 2 2 | * *  *  * * *  *  *  *  * 3 * | 0 0 0  0  0  0 0 0 2 0 0 0 1 | 0 0 0 0 1 2
... ... ..x3..o     | 0 0 3 | 0  0 0 0 0  0 0 3 | * *  *  * * *  *  *  *  * * 2 | 0 0 0  0  0  0 1 0 0 0 0 2 1 | 0 0 0 2 0 2
--------------------+-------+-------------------+-------------------------------+------------------------------+------------
xo. ox. ... ...&#x  ♦ 2 2 0 | 1  4 0 1 0  0 0 0 | 2 2  0  0 0 0  0  0  0  0 0 0 | 3 * *  *  *  * * * * * * * * | 2 0 0 0 0 0
xo. ... ... ox.&#x  ♦ 2 2 0 | 1  4 0 0 1  0 0 0 | 2 0  2  0 0 0  0  0  0  0 0 0 | * 6 *  *  *  * * * * * * * * | 1 1 0 0 0 0
... ... oo.3ox.&#x  ♦ 1 3 0 | 0  3 0 0 3  0 0 0 | 0 0  3  0 0 1  0  0  0  0 0 0 | * * 4  *  *  * * * * * * * * | 0 1 0 1 0 0
... oxo ... ...&#x  ♦ 1 2 1 | 0  2 1 1 0  2 0 0 | 0 1  0  2 0 0  0  1  0  0 0 0 | * * * 12  *  * * * * * * * * | 1 0 1 0 0 0
... ... oox ...&#x  ♦ 1 1 2 | 0  1 2 0 0  2 0 1 | 0 0  0  2 1 0  0  0  1  0 0 0 | * * *  * 12  * * * * * * * * | 0 0 1 1 0 0
... ... ... oxo&#x  ♦ 1 2 1 | 0  2 1 0 1  2 0 0 | 0 0  1  2 0 0  0  0  0  1 0 0 | * * *  *  * 12 * * * * * * * | 1 0 0 1 0 0
... ... o.x3o.o&#x  ♦ 1 0 3 | 0  0 3 0 0  0 0 3 | 0 0  0  0 3 0  0  0  0  0 0 1 | * * *  *  *  * 2 * * * * * * | 0 0 0 2 0 0
.ox .xo ... ...&#x  ♦ 0 2 2 | 0  0 0 1 0  4 1 0 | 0 0  0  0 0 0  2  2  0  0 0 0 | * * *  *  *  * * 6 * * * * * | 1 0 0 0 1 0
.ox ... .ox ...&#x  ♦ 0 1 4 | 0  0 0 0 0  4 2 2 | 0 0  0  0 0 0  2  0  2  0 1 0 | * * *  *  *  * * * 6 * * * * | 0 0 0 0 1 1
.ox ... ... .xo&#x  ♦ 0 2 2 | 0  0 0 0 1  4 1 0 | 0 0  0  0 0 0  2  0  0  2 0 0 | * * *  *  *  * * * * 6 * * * | 1 0 0 0 0 1
... .xo .ox ...&#x  ♦ 0 2 2 | 0  0 0 1 0  4 0 1 | 0 0  0  0 0 0  0  2  2  0 0 0 | * * *  *  *  * * * * * 6 * * | 0 0 1 0 1 0
... ... .ox3.xo&#x  ♦ 0 3 3 | 0  0 0 0 3  6 0 3 | 0 0  0  0 0 1  0  0  3  3 0 1 | * * *  *  *  * * * * * * 4 * | 0 0 0 1 0 1
..x ... ..x3..o     ♦ 0 0 6 | 0  0 0 0 0  0 3 6 | 0 0  0  0 0 0  0  0  0  0 3 2 | * * *  *  *  * * * * * * * 1 | 0 0 0 0 0 2
--------------------+-------+-------------------+-------------------------------+------------------------------+------------
xox oxo ... oxo&#xt ♦ 2 4 2 | 1  8 2 2 2  8 1 0 | 4 4  4  8 0 0  4  4  0  4 0 0 | 2 2 0  4  0  4 0 2 0 2 0 0 0 | 3 * * * * *
xo. ... oo.3ox.&#x  ♦ 2 3 0 | 1  6 0 0 3  0 0 0 | 3 0  6  0 0 1  0  0  0  0 0 0 | 0 3 2  0  0  0 0 0 0 0 0 0 0 | * 2 * * * *
... oxo oox ...&#x  ♦ 1 2 2 | 0  2 2 1 0  4 0 1 | 0 1  0  4 1 0  0  2  2  0 0 0 | 0 0 0  2  2  0 0 0 0 0 1 0 0 | * * 6 * * *
... ... oox3oxo&#x  ♦ 1 3 3 | 0  3 3 0 3  6 0 3 | 0 0  3  6 3 1  0  0  3  3 0 1 | 0 0 1  0  3  3 1 0 0 0 0 1 0 | * * * 4 * *
.ox .xo .ox ...&#x  ♦ 0 2 4 | 0  0 0 1 0  8 2 2 | 0 0  0  0 0 0  4  4  4  0 1 0 | 0 0 0  0  0  0 0 2 2 0 2 0 0 | * * * * 3 *
.ox ... .ox3.xo&#x  ♦ 0 3 6 | 0  0 0 0 3 12 3 6 | 0 0  0  0 0 1  6  0  6  6 3 2 | 0 0 0  0  0  0 0 0 3 3 0 2 1 | * * * * * 2

xoxo ooxo3oxox&#xr
(line, perp trig, gyro trip, para trip)-cycle

o... o...3o...     | 2 * * * ♦ 1 3 3 3 0  0 0 0 0  0 0 | 3 3  6 3 3  6 3 3 0 0 0 0  0 0 0 0 0 0 0 | 3 1 3 3  6 3 1 3 3 3 1 0 0 0 0 0 0 0 0 0 | 1 1 3 3 1 1 0 0 0
.o.. .o..3.o..     | * 3 * * | 0 2 0 0 2  4 1 0 0  0 0 | 1 4  4 2 0  0 0 0 1 2 2 4  4 0 0 0 0 0 0 | 2 2 2 4  4 1 0 0 0 0 0 1 2 2 2 2 0 0 0 0 | 1 2 2 2 0 0 1 1 0
..o. ..o.3..o.     | * * 6 * | 0 0 1 0 0  2 0 1 2  2 0 | 0 0  2 0 2  2 0 0 0 2 2 1  2 2 1 2 2 1 0 | 0 0 2 1  2 0 1 2 1 0 0 2 1 1 2 2 1 2 1 1 | 0 1 1 2 1 0 1 2 1
...o ...o3...o     | * * * 3 | 0 0 0 2 0  0 1 0 0  4 2 | 0 0  0 2 0  4 1 4 0 0 0 0  4 0 0 2 2 4 1 | 0 0 0 0  4 1 0 2 4 2 2 0 0 0 2 2 0 1 2 2 | 0 0 2 2 2 1 0 1 1
-------------------+---------+-------------------------+------------------------------------------+------------------------------------------+------------------
x... .... ....     | 2 0 0 0 | 1 * * * *  * * * *  * * ♦ 3 0  0 0 0  0 3 0 0 0 0 0  0 0 0 0 0 0 0 | 3 0 0 0  0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | 1 0 3 0 0 1 0 0 0
oo.. oo..3oo..&#x  | 1 1 0 0 | * 6 * * *  * * * *  * * ♦ 1 2  2 1 0  0 0 0 0 0 0 0  0 0 0 0 0 0 0 | 2 1 1 2  2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 0 0
o.o. o.o.3o.o.&#x  | 1 0 1 0 | * * 6 * *  * * * *  * * ♦ 0 0  2 0 2  2 0 0 0 0 0 0  0 0 0 0 0 0 0 | 0 0 2 1  2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 2 1 0 0 0 0
o..o o..o3o..o&#x  | 1 0 0 1 | * * * 6 *  * * * *  * * ♦ 0 0  0 1 0  2 1 2 0 0 0 0  0 0 0 0 0 0 0 | 0 0 0 0  2 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 | 0 0 2 1 1 1 0 0 0
.... .... .x..     | 0 2 0 0 | * * * * 3  * * * *  * * | 0 2  0 0 0  0 0 0 1 0 0 2  0 0 0 0 0 0 0 | 1 2 0 2  0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 | 1 2 1 0 0 0 1 0 0
.oo. .oo.3.oo.&#x  | 0 1 1 0 | * * * * * 12 * * *  * * | 0 0  1 0 0  0 0 0 0 1 1 1  1 0 0 0 0 0 0 | 0 0 1 1  1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 | 0 1 1 1 0 0 1 1 0
.o.o .o.o3.o.o&#x  | 0 1 0 1 | * * * * *  * 3 * *  * * | 0 0  0 2 0  0 0 0 0 0 0 0  4 0 0 0 0 0 0 | 0 0 0 0  4 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 | 0 0 2 2 0 0 0 1 0
..x. .... ....     | 0 0 2 0 | * * * * *  * * 3 *  * * | 0 0  0 0 0  0 0 0 0 2 0 0  0 2 0 2 0 0 0 | 0 0 0 0  0 0 0 0 0 0 0 2 1 0 2 0 1 2 1 0 | 0 0 1 0 0 0 1 2 1
.... ..x. ....     | 0 0 2 0 | * * * * *  * * * 6  * * | 0 0  0 0 1  0 0 0 0 0 1 0  0 1 1 0 1 0 0 | 0 0 1 0  0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 | 0 1 0 1 1 0 1 1 1
..oo ..oo3..oo&#x  | 0 0 1 1 | * * * * *  * * * * 12 * | 0 0  0 0 0  1 0 0 0 0 0 0  1 0 0 1 1 1 0 | 0 0 0 0  1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 | 0 0 1 1 1 0 0 1 1
.... .... ...x     | 0 0 0 2 | * * * * *  * * * *  * 3 | 0 0  0 0 0  0 0 2 0 0 0 0  0 0 0 0 0 2 1 | 0 0 0 0  0 0 0 0 2 1 2 0 0 0 0 0 0 0 1 2 | 0 0 1 0 2 1 0 0 1
-------------------+---------+-------------------------+------------------------------------------+------------------------------------------+------------------
xo.. .... ....&#x  | 2 1 0 0 | 1 2 0 0 0  0 0 0 0  0 0 | 3 *  * * *  * * * * * * *  * * * * * * * | 2 0 0 0  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 0 0 0 0
.... .... ox..&#x  | 1 2 0 0 | 0 2 0 0 1  0 0 0 0  0 0 | * 6  * * *  * * * * * * *  * * * * * * * | 1 1 0 1  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0
ooo. ooo.3ooo.&#x  | 1 1 1 0 | 0 1 1 0 0  1 0 0 0  0 0 | * * 12 * *  * * * * * * *  * * * * * * * | 0 0 1 1  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0
oo.o oo.o3oo.o&#x  | 1 1 0 1 | 0 1 0 1 0  0 1 0 0  0 0 | * *  * 6 *  * * * * * * *  * * * * * * * | 0 0 0 0  2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 0 0 0 0 0
.... o.x. ....&#x  | 1 0 2 0 | 0 0 2 0 0  0 0 0 1  0 0 | * *  * * 6  * * * * * * *  * * * * * * * | 0 0 1 0  0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 0 0 0
o.oo o.oo3o.oo&#x  | 1 0 1 1 | 0 0 1 1 0  0 0 0 0  1 0 | * *  * * * 12 * * * * * *  * * * * * * * | 0 0 0 0  1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0
x..o .... ....&#x  | 2 0 0 1 | 1 0 0 2 0  0 0 0 0  0 0 | * *  * * *  * 3 * * * * *  * * * * * * * | 0 0 0 0  0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 0 2 0 0 1 0 0 0
.... .... o..x&#x  | 1 0 0 2 | 0 0 0 2 0  0 0 0 0  0 1 | * *  * * *  * * 6 * * * *  * * * * * * * | 0 0 0 0  0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 0 0
.... .o..3.x..     | 0 3 0 0 | 0 0 0 0 3  0 0 0 0  0 0 | * *  * * *  * * * 1 * * *  * * * * * * * | 0 2 0 0  0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 | 1 2 0 0 0 0 1 0 0
.ox. .... ....&#x  | 0 1 2 0 | 0 0 0 0 0  2 0 1 0  0 0 | * *  * * *  * * * * 6 * *  * * * * * * * | 0 0 0 0  0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 0 0 1 0 0 0 1 1 0
.... .ox. ....&#x  | 0 1 2 0 | 0 0 0 0 0  2 0 0 1  0 0 | * *  * * *  * * * * * 6 *  * * * * * * * | 0 0 1 0  0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 0 1 1 0
.... .... .xo.&#x  | 0 2 1 0 | 0 0 0 0 1  2 0 0 0  0 0 | * *  * * *  * * * * * * 6  * * * * * * * | 0 0 0 1  0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 0 0 1 0 0
.ooo .ooo3.ooo&#x  | 0 1 1 1 | 0 0 0 0 0  1 1 0 0  1 0 | * *  * * *  * * * * * * * 12 * * * * * * | 0 0 0 0  1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 0 0 1 1 0 0 0 1 0
..x. ..x. ....     | 0 0 4 0 | 0 0 0 0 0  0 0 2 2  0 0 | * *  * * *  * * * * * * *  * 3 * * * * * | 0 0 0 0  0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 0 0 0 0 0 1 1 1
.... ..x.3..o.     | 0 0 3 0 | 0 0 0 0 0  0 0 0 3  0 0 | * *  * * *  * * * * * * *  * * 2 * * * * | 0 0 0 0  0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 0 1 0 1
..xo .... ....&#x  | 0 0 2 1 | 0 0 0 0 0  0 0 1 0  2 0 | * *  * * *  * * * * * * *  * * * 6 * * * | 0 0 0 0  0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1
.... ..xo ....&#x  | 0 0 2 1 | 0 0 0 0 0  0 0 0 1  2 0 | * *  * * *  * * * * * * *  * * * * 6 * * | 0 0 0 0  0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 1 1 0 0 1 1
.... .... ..ox&#x  | 0 0 1 2 | 0 0 0 0 0  0 0 0 0  2 1 | * *  * * *  * * * * * * *  * * * * * 6 * | 0 0 0 0  0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 | 0 0 1 0 1 0 0 0 1
.... ...o3...x     | 0 0 0 3 | 0 0 0 0 0  0 0 0 0  0 3 | * *  * * *  * * * * * * *  * * * * * * 1 | 0 0 0 0  0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 | 0 0 0 0 2 1 0 0 1
-------------------+---------+-------------------------+------------------------------------------+------------------------------------------+------------------
xo.. .... ox..&#x  ♦ 2 2 0 0 | 1 4 0 0 1  0 0 0 0  0 0 | 2 2  0 0 0  0 0 0 0 0 0 0  0 0 0 0 0 0 0 | 3 * * *  * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0
.... oo..3ox..&#x  ♦ 1 3 0 0 | 0 3 0 0 3  0 0 0 0  0 0 | 0 3  0 0 0  0 0 0 1 0 0 0  0 0 0 0 0 0 0 | * 2 * *  * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
.... oox. ....&#x  ♦ 1 1 2 0 | 0 1 2 0 0  2 0 0 1  0 0 | 0 0  2 0 1  0 0 0 0 0 1 0  0 0 0 0 0 0 0 | * * 6 *  * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0
.... .... oxo.&#x  ♦ 1 2 1 0 | 0 2 1 0 1  2 0 0 0  0 0 | 0 1  2 0 0  0 0 0 0 0 0 1  0 0 0 0 0 0 0 | * * * 6  * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0
oooo oooo3oooo&#x  ♦ 1 1 1 1 | 0 1 1 1 0  1 1 0 0  1 0 | 0 0  1 1 0  1 0 0 0 0 0 0  1 0 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0
xo.o .... ....&#x  ♦ 2 1 0 1 | 1 2 0 2 0  0 1 0 0  0 0 | 1 0  0 2 0  0 1 0 0 0 0 0  0 0 0 0 0 0 0 | * * * *  * 3 * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0
.... o.x.3o.o.&#x  ♦ 1 0 3 0 | 0 0 3 0 0  0 0 0 3  0 0 | 0 0  0 0 3  0 0 0 0 0 0 0  0 0 1 0 0 0 0 | * * * *  * * 2 * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0
.... o.xo ....&#x  ♦ 1 0 2 1 | 0 0 2 1 0  0 0 0 1  2 0 | 0 0  0 0 1  2 0 0 0 0 0 0  0 0 0 0 1 0 0 | * * * *  * * * 6 * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0
.... .... o.ox&#x  ♦ 1 0 1 2 | 0 0 1 2 0  0 0 0 0  2 1 | 0 0  0 0 0  2 0 1 0 0 0 0  0 0 0 0 0 1 0 | * * * *  * * * * 6 * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0
x..o .... o..x&#x  ♦ 2 0 0 2 | 1 0 0 4 0  0 0 0 0  0 1 | 0 0  0 0 0  0 2 2 0 0 0 0  0 0 0 0 0 0 0 | * * * *  * * * * * 3 * * * * * * * * * * | 0 0 1 0 0 1 0 0 0
.... o..o3o..x&#x  ♦ 1 0 0 3 | 0 0 0 3 0  0 0 0 0  0 3 | 0 0  0 0 0  0 0 3 0 0 0 0  0 0 0 0 0 0 1 | * * * *  * * * * * * 2 * * * * * * * * * | 0 0 0 0 1 1 0 0 0
.ox. .ox. ....&#x  ♦ 0 1 4 0 | 0 0 0 0 0  4 0 2 2  0 0 | 0 0  0 0 0  0 0 0 0 2 2 0  0 1 0 0 0 0 0 | * * * *  * * * * * * * 3 * * * * * * * * | 0 0 0 0 0 0 1 1 0
.ox. .... .xo.&#x  ♦ 0 2 2 0 | 0 0 0 0 1  4 0 1 0  0 0 | 0 0  0 0 0  0 0 0 0 2 0 2  0 0 0 0 0 0 0 | * * * *  * * * * * * * * 3 * * * * * * * | 0 0 1 0 0 0 1 0 0
.... .ox.3.xo.&#x  ♦ 0 3 3 0 | 0 0 0 0 3  6 0 0 3  0 0 | 0 0  0 0 0  0 0 0 1 0 3 3  0 0 1 0 0 0 0 | * * * *  * * * * * * * * * 2 * * * * * * | 0 1 0 0 0 0 1 0 0
.oxo .... ....&#x  ♦ 0 1 2 1 | 0 0 0 0 0  2 1 1 0  2 0 | 0 0  0 0 0  0 0 0 0 1 0 0  2 0 0 1 0 0 0 | * * * *  * * * * * * * * * * 6 * * * * * | 0 0 1 0 0 0 0 1 0
.... .oxo ....&#x  ♦ 0 1 2 1 | 0 0 0 0 0  2 1 0 1  2 0 | 0 0  0 0 0  0 0 0 0 0 1 0  2 0 0 0 1 0 0 | * * * *  * * * * * * * * * * * 6 * * * * | 0 0 0 1 0 0 0 1 0
..x. ..x.3..o.     ♦ 0 0 6 0 | 0 0 0 0 0  0 0 3 6  0 0 | 0 0  0 0 0  0 0 0 0 0 0 0  0 3 2 0 0 0 0 | * * * *  * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 1 0 1
..xo ..xo ....&#x  ♦ 0 0 4 1 | 0 0 0 0 0  0 0 2 2  4 0 | 0 0  0 0 0  0 0 0 0 0 0 0  0 1 0 2 2 0 0 | * * * *  * * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 1 1
..xo .... ..ox&#x  ♦ 0 0 2 2 | 0 0 0 0 0  0 0 1 0  4 1 | 0 0  0 0 0  0 0 0 0 0 0 0  0 0 0 2 0 2 0 | * * * *  * * * * * * * * * * * * * * 3 * | 0 0 1 0 0 0 0 0 1
.... ..xo3..ox&#x  ♦ 0 0 3 3 | 0 0 0 0 0  0 0 0 3  6 3 | 0 0  0 0 0  0 0 0 0 0 0 0  0 0 1 0 3 3 1 | * * * *  * * * * * * * * * * * * * * * 2 | 0 0 0 0 1 0 0 0 1
-------------------+---------+-------------------------+------------------------------------------+------------------------------------------+------------------
xo.. oo..3ox..&#x  ♦ 2 3 0 0 | 1 6 0 0 3  0 0 0 0  0 0 | 3 6  0 0 0  0 0 0 1 0 0 0  0 0 0 0 0 0 0 | 3 2 0 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * *
.... oox.3oxo.&#x  ♦ 1 3 3 0 | 0 3 3 0 3  6 0 0 3  0 0 | 0 3  6 0 3  0 0 0 1 0 3 3  0 0 1 0 0 0 0 | 0 1 3 3  0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 | * 2 * * * * * * *
xoxo .... oxox&#xr ♦ 2 2 2 2 | 1 4 2 4 1  4 2 1 0  4 1 | 2 2  4 4 0  4 2 2 0 2 0 2  4 0 0 2 0 2 0 | 1 0 0 2  4 2 0 0 2 1 0 0 1 0 2 0 0 0 1 0 | * * 3 * * * * * *
.... ooxo ....&#xr ♦ 1 1 2 1 | 0 1 2 1 0  2 1 0 1  2 0 | 0 0  2 1 1  2 0 0 0 0 1 0  2 0 0 0 1 0 0 | 0 0 1 0  2 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 | * * * 6 * * * * *
.... o.xo3o.ox&#x  ♦ 1 0 3 3 | 0 0 3 3 0  0 0 0 3  6 3 | 0 0  0 0 3  6 0 3 0 0 0 0  0 0 1 0 3 3 1 | 0 0 0 0  0 0 1 3 3 0 1 0 0 0 0 0 0 0 0 1 | * * * * 2 * * * *
x..o o..o3o..x&#x  ♦ 2 0 0 3 | 1 0 0 6 0  0 0 0 0  0 3 | 0 0  0 0 0  0 3 6 0 0 0 0  0 0 0 0 0 0 1 | 0 0 0 0  0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 | * * * * * 1 * * *
.ox. .ox.3.xo.&#x  ♦ 0 3 6 0 | 0 0 0 0 3 12 0 3 6  0 0 | 0 0  0 0 0  0 0 0 1 6 6 6  0 3 2 0 0 0 0 | 0 0 0 0  0 0 0 0 0 0 0 3 3 2 0 0 1 0 0 0 | * * * * * * 1 * *
.oxo .oxo ....&#x  ♦ 0 1 4 1 | 0 0 0 0 0  4 1 2 2  4 0 | 0 0  0 0 0  0 0 0 0 2 2 0  4 1 0 2 2 0 0 | 0 0 0 0  0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * * * * * 3 *
..xo ..xo3..ox&#x  ♦ 0 0 6 3 | 0 0 0 0 0  0 0 3 6 12 3 | 0 0  0 0 0  0 0 0 0 0 0 0  0 3 2 6 6 6 1 | 0 0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 | * * * * * * * * 1

or
o... o...3o...       ♦ 2 * * | 1  6 3 0  0 0 0 0 | 6  6 12 3 3 0  0  0  0  0 0 0 | 6 2  6  6  6 3 1 0 0 0 0 0 0 | 2 2 3 3 0 0
.o.. .o..3.o..     & | * 6 * | 0  2 0 2  4 1 0 0 | 1  4  4 2 0 1  2  2  4  4 0 0 | 2 2  2  4  4 1 0 1 2 2 2 2 0 | 1 2 2 2 1 1
..o. ..o.3..o.       | * * 6 | 0  0 1 0  4 0 1 2 | 0  0  4 0 2 0  4  4  2  2 2 1 | 0 0  4  2  2 0 1 4 2 2 2 2 1 | 0 2 1 2 2 2
---------------------+-------+-------------------+-------------------------------+------------------------------+------------
x... .... ....       | 2 0 0 | 1  * * *  * * * * ♦ 6  0  0 0 0 0  0  0  0  0 0 0 | 6 0  0  0  0 3 0 0 0 0 0 0 0 | 2 0 3 0 0 0
oo.. oo..3oo..&#x  & | 1 1 0 | * 12 * *  * * * * ♦ 1  2  2 1 0 0  0  0  0  0 0 0 | 2 1  1  2  2 1 0 0 0 0 0 0 0 | 1 1 2 1 0 0
o.o. o.o.3o.o.&#x    | 1 0 1 | *  * 6 *  * * * * ♦ 0  0  4 0 2 0  0  0  0  0 0 0 | 0 0  4  2  2 0 1 0 0 0 0 0 0 | 0 2 1 2 0 0
.... .... .x..       | 0 2 0 | *  * * 6  * * * * | 0  2  0 0 0 1  0  0  2  0 0 0 | 1 2  0  2  0 0 0 0 1 2 0 0 0 | 1 2 1 0 1 0
.oo. .oo.3.oo.&#x  & | 0 1 1 | *  * * * 24 * * * | 0  0  1 0 0 0  1  1  1  1 0 0 | 0 0  1  1  1 0 0 1 1 1 1 1 0 | 0 1 1 1 1 1
.o.o .o.o3.o.o&#x    | 0 2 0 | *  * * *  * 3 * * | 0  0  0 2 0 0  0  0  0  4 0 0 | 0 0  0  0  4 1 0 0 0 0 2 2 0 | 0 0 2 2 0 1
..x. .... ....       | 0 0 2 | *  * * *  * * 3 * | 0  0  0 0 0 0  4  0  0  0 2 0 | 0 0  0  0  0 0 0 4 2 0 2 0 1 | 0 0 1 0 2 2
.... ..x. ....       | 0 0 2 | *  * * *  * * * 6 | 0  0  0 0 1 0  0  2  0  0 1 1 | 0 0  2  0  0 0 1 2 0 2 0 1 1 | 0 2 0 1 2 1
---------------------+-------+-------------------+-------------------------------+------------------------------+------------
xo.. .... ....&#x  & | 2 1 0 | 1  2 0 0  0 0 0 0 | 6  *  * * * *  *  *  *  * * * | 2 0  0  0  0 1 0 0 0 0 0 0 0 | 1 0 2 0 0 0
.... .... ox..&#x  & | 1 2 0 | 0  2 0 1  0 0 0 0 | * 12  * * * *  *  *  *  * * * | 1 1  0  1  0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
ooo. ooo.3ooo.&#x  & | 1 1 1 | 0  1 1 0  1 0 0 0 | *  * 24 * * *  *  *  *  * * * | 0 0  1  1  1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
oo.o oo.o3oo.o&#x    | 1 2 0 | 0  2 0 0  0 1 0 0 | *  *  * 6 * *  *  *  *  * * * | 0 0  0  0  2 1 0 0 0 0 0 0 0 | 0 0 2 1 0 0
.... o.x. ....&#x    | 1 0 2 | 0  0 2 0  0 0 0 1 | *  *  * * 6 *  *  *  *  * * * | 0 0  2  0  0 0 1 0 0 0 0 0 0 | 0 2 0 1 0 0
.... .o..3.x..     & | 0 3 0 | 0  0 0 3  0 0 0 0 | *  *  * * * 2  *  *  *  * * * | 0 2  0  0  0 0 0 0 0 2 0 0 0 | 1 2 0 0 1 0
.ox. .... ....&#x  & | 0 1 2 | 0  0 0 0  2 0 1 0 | *  *  * * * * 12  *  *  * * * | 0 0  0  0  0 0 0 1 1 0 1 0 0 | 0 0 1 0 1 1
.... .ox. ....&#x  & | 0 1 2 | 0  0 0 0  2 0 0 1 | *  *  * * * *  * 12  *  * * * | 0 0  1  0  0 0 0 1 0 1 0 1 0 | 0 1 0 1 1 1
.... .... .xo.&#x  & | 0 2 1 | 0  0 0 1  2 0 0 0 | *  *  * * * *  *  * 12  * * * | 0 0  0  1  0 0 0 0 1 1 0 0 0 | 0 1 1 0 1 0
.ooo .ooo3.ooo&#x    | 0 2 1 | 0  0 0 0  2 1 0 0 | *  *  * * * *  *  *  * 12 * * | 0 0  0  0  1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x. ..x. ....       | 0 0 4 | 0  0 0 0  0 0 2 2 | *  *  * * * *  *  *  *  * 3 * | 0 0  0  0  0 0 0 2 0 0 0 0 1 | 0 0 0 0 2 1
.... ..x.3..o.       | 0 0 3 | 0  0 0 0  0 0 0 3 | *  *  * * * *  *  *  *  * * 2 | 0 0  0  0  0 0 1 0 0 2 0 0 1 | 0 1 0 0 1 0
---------------------+-------+-------------------+-------------------------------+------------------------------+------------
xo.. .... ox..&#x  & ♦ 2 2 0 | 1  4 0 1  0 0 0 0 | 2  2  0 0 0 0  0  0  0  0 0 0 | 6 *  *  *  * * * * * * * * * | 1 0 1 0 0 0
.... oo..3ox..&#x  & ♦ 1 3 0 | 0  3 0 3  0 0 0 0 | 0  3  0 0 0 1  0  0  0  0 0 0 | * 4  *  *  * * * * * * * * * | 1 1 0 0 0 0
.... oox. ....&#x  & ♦ 1 1 2 | 0  1 2 0  2 0 0 1 | 0  0  2 0 1 0  0  1  0  0 0 0 | * * 12  *  * * * * * * * * * | 0 1 0 1 0 0
.... .... oxo.&#x  & ♦ 1 2 1 | 0  2 1 1  2 0 0 0 | 0  1  2 0 0 0  0  0  1  0 0 0 | * *  * 12  * * * * * * * * * | 0 1 1 0 0 0
oooo oooo3oooo&#x    ♦ 1 2 1 | 0  2 1 0  2 1 0 0 | 0  0  2 1 0 0  0  0  0  1 0 0 | * *  *  * 12 * * * * * * * * | 0 0 1 1 0 0
xo.o .... ....&#x    ♦ 2 2 0 | 1  4 0 0  0 1 0 0 | 2  0  0 2 0 0  0  0  0  0 0 0 | * *  *  *  * 3 * * * * * * * | 0 0 2 0 0 0
.... o.x.3o.o.&#x    ♦ 1 0 3 | 0  0 3 0  0 0 0 3 | 0  0  0 0 3 0  0  0  0  0 0 1 | * *  *  *  * * 2 * * * * * * | 0 2 0 0 0 0
.ox. .ox. ....&#x  & ♦ 0 1 4 | 0  0 0 0  4 0 2 2 | 0  0  0 0 0 0  2  2  0  0 1 0 | * *  *  *  * * * 6 * * * * * | 0 0 0 0 1 1
.ox. .... .xo.&#x  & ♦ 0 2 2 | 0  0 0 1  4 0 1 0 | 0  0  0 0 0 0  2  0  2  0 0 0 | * *  *  *  * * * * 6 * * * * | 0 0 1 0 1 0
.... .ox.3.xo.&#x  & ♦ 0 3 3 | 0  0 0 3  6 0 0 3 | 0  0  0 0 0 1  0  3  3  0 0 1 | * *  *  *  * * * * * 4 * * * | 0 1 0 0 1 0
.oxo .... ....&#x    ♦ 0 2 2 | 0  0 0 0  4 1 1 0 | 0  0  0 0 0 0  2  0  0  2 0 0 | * *  *  *  * * * * * * 6 * * | 0 0 1 0 0 1
.... .oxo ....&#x    ♦ 0 2 2 | 0  0 0 0  4 1 0 1 | 0  0  0 0 0 0  0  2  0  2 0 0 | * *  *  *  * * * * * * * 6 * | 0 0 0 1 0 1
..x. ..x.3..o.       ♦ 0 0 6 | 0  0 0 0  0 0 3 6 | 0  0  0 0 0 0  0  0  0  0 3 2 | * *  *  *  * * * * * * * * 1 | 0 0 0 0 2 0
---------------------+-------+-------------------+-------------------------------+------------------------------+------------
xo.. oo..3ox..&#x  & ♦ 2 3 0 | 1  6 0 3  0 0 0 0 | 3  6  0 0 0 1  0  0  0  0 0 0 | 3 2  0  0  0 0 0 0 0 0 0 0 0 | 2 * * * * *
.... oox.3oxo.&#x  & ♦ 1 3 3 | 0  3 3 3  6 0 0 3 | 0  3  6 0 3 1  0  3  3  0 0 1 | 0 1  3  3  0 0 1 0 0 1 0 0 0 | * 4 * * * *
xoxo .... oxox&#xr   ♦ 2 4 2 | 1  8 2 2  8 2 1 0 | 4  4  8 4 0 0  4  0  4  4 0 0 | 2 0  0  4  4 2 0 0 2 0 2 0 0 | * * 3 * * *
.... ooxo ....&#xr   ♦ 1 2 2 | 0  2 2 0  4 1 0 1 | 0  0  4 1 1 0  0  2  0  2 0 0 | 0 0  2  0  2 0 0 0 0 0 0 1 0 | * * * 6 * *
.ox. .ox.3.xo.&#x  & ♦ 0 3 6 | 0  0 0 3 12 0 3 6 | 0  0  0 0 0 1  6  6  6  0 3 2 | 0 0  0  0  0 0 0 3 3 2 0 0 1 | * * * * 2 *
.oxo .oxo ....&#x    ♦ 0 2 4 | 0  0 0 0  8 1 2 2 | 0  0  0 0 0 0  4  4  0  4 1 0 | 0 0  0  0  0 0 0 2 0 0 2 2 0 | * * * * * 3