Acronym rat
Name rectified triacontiditeron,
rectified pentacross,
vertex figure of hinoh
Field of sections
 ©
Circumradius 1
Vertex figure
 ©    ©
Lace city
in approx. ASCII-art
 ©  
               _+------------------  o o3o4o (pt)
             _/    _+--------------  x x3o4o (ope)
           _/    _/    _+---------- ou oo3xo4oo&#zq
         _/    _/    _/    _+------  x x3o4o (ope)
       _/    _/    _/    _/    _+--  o o3o4o (pt)
      /     /     /     /     /

o3o4o  x3o4o  o3o4o		-- x3o3o4o (hex)
                   
                   
                   
x3o4o  o3x4o  x3o4o		-- o3x3o4o (ico)
                   
                   
                   
o3o4o  x3o4o  o3o4o		-- x3o3o4o (hex)
    x3o3o   o3o3x    		-- x3o3o4o (hex)
                     
                     
                     
o3x3o   x3o3x   o3x3o		-- o3x3o4o (ico)
                     
                     
                     
    x3o3o   o3o3x    		-- x3o3o4o (hex)

         \       \       \
          \       \       +- o3x3o3o (rap)
           \       +-------- x3o3o3x (spid)
            +--------------- o3o3x3o (inv. rap)
Coordinates (1/sqrt(2), 1/sqrt(2), 0, 0, 0)   & all permutations, all changes of sign
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polyteral members:
by cells: duhd firp hex ico ope rap tho
ratchet 1632004000
rat 001000320
rhohid 000501610
& others)
Confer
related segmentotera:
coahex   hexaico   opepy   squippyippy   opeaco   rapaspid   oxo oxo3oox4ooo&#xt  
general polytopal classes:
partial Stott expansions  
External
links
hedrondude   wikipedia

Incidence matrix according to Dynkin symbol

o3x3o3o4o

. . . . . | 40   12 |  6  24 | 12  16 |  8  2
----------+----+-----+--------+--------+------
. x . . . |  2 | 240   1   4 |  4   4 |  4  1
----------+----+-----+--------+--------+------
o3x . . . |  3 |   3 | 80   * |  4   0 |  4  0
. x3o . . |  3 |   3 |  * 320 |  1   2 |  2  1
----------+----+-----+--------+--------+------
o3x3o . .   6 |  12 |  4   4 | 80   * |  2  0
. x3o3o .   4 |   6 |  0   4 |  * 160 |  1  1
----------+----+-----+--------+--------+------
o3x3o3o .  10 |  30 | 10  20 |  5   5 | 32  *
. x3o3o4o   8 |  24 |  0  32 |  0  16 |  * 10

o3x3o3o4/3o

. . . .   . | 40   12 |  6  24 | 12  16 |  8  2
------------+----+-----+--------+--------+------
. x . .   . |  2 | 240   1   4 |  4   4 |  4  1
------------+----+-----+--------+--------+------
o3x . .   . |  3 |   3 | 80   * |  4   0 |  4  0
. x3o .   . |  3 |   3 |  * 320 |  1   2 |  2  1
------------+----+-----+--------+--------+------
o3x3o .   .   6 |  12 |  4   4 | 80   * |  2  0
. x3o3o   .   4 |   6 |  0   4 |  * 160 |  1  1
------------+----+-----+--------+--------+------
o3x3o3o   .  10 |  30 | 10  20 |  5   5 | 32  *
. x3o3o4/3o   8 |  24 |  0  32 |  0  16 |  * 10

o3o3o *b3x3o

. . .    . . | 40   12 |  24  6 |  8  8 12 |  2  4  4
-------------+----+-----+--------+----------+---------
. . .    x . |  2 | 240    4  1 |  2  2  4 |  1  2  2
-------------+----+-----+--------+----------+---------
. o . *b3x . |  3 |   3 | 320  * |  1  1  1 |  1  1  1
. . .    x3o |  3 |   3 |   * 80 |  0  0  4 |  0  2  2
-------------+----+-----+--------+----------+---------
o3o . *b3x .   4 |   6 |   4  0 | 80  *  * |  1  1  0
. o3o *b3x .   4 |   6 |   4  0 |  * 80  * |  1  0  1
. o . *b3x3o   6 |  12 |   4  4 |  *  * 80 |  0  1  1
-------------+----+-----+--------+----------+---------
o3o3o *b3x .   8 |  24 |  32  0 |  8  8  0 | 10  *  *
o3o . *b3x3o  10 |  30 |  20 10 |  5  0  5 |  * 16  *
. o3o *b3x3o  10 |  30 |  20 10 |  0  5  5 |  *  * 16

xox3oxo3ooo4ooo&#xt   → both heights = 1/sqrt(2) = 0.707107
(hex || pseudo ico || hex)

o..3o..3o..4o..     | 8  * *   6  6  0  0  0 | 12  6 12  0  0  0  0  0 |  8 12  8  0  0  0  0 | 1  8 1  0 0
.o.3.o.3.o.4.o.     | * 24 *   0  2  8  2  0 |  0  1  8  4  8  1  8  0 |  0  4  8  4  4  8  0 | 0  4 2  4 0
..o3..o3..o4..o     | *  * 8   0  0  0  6  6 |  0  0  0  0  0  6 12 12 |  0  0  0  0 12  8  8 | 0  0 1  8 1
--------------------+--------+----------------+-------------------------+----------------------+------------
x.. ... ... ...     | 2  0 0 | 24  *  *  *  *   4  1  0  0  0  0  0  0 |  4  4  0  0  0  0  0 | 1  4 0  0 0
oo.3oo.3oo.4oo.&#x  | 1  1 0 |  * 48  *  *  *   0  1  4  0  0  0  0  0 |  0  4  4  0  0  0  0 | 0  4 1  0 0
... .x. ... ...     | 0  2 0 |  *  * 96  *  *   0  0  1  1  2  0  1  0 |  0  1  2  2  1  2  0 | 0  2 1  2 0
.oo3.oo3.oo4.oo&#x  | 0  1 1 |  *  *  * 48  *   0  0  0  0  0  1  4  0 |  0  0  0  0  4  4  0 | 0  0 1  4 0
..x ... ... ...     | 0  0 2 |  *  *  *  * 24   0  0  0  0  0  1  0  4 |  0  0  0  0  4  0  4 | 0  0 0  4 1
--------------------+--------+----------------+-------------------------+----------------------+------------
x..3o.. ... ...     | 3  0 0 |  3  0  0  0  0 | 32  *  *  *  *  *  *  * |  2  1  0  0  0  0  0 | 1  2 0  0 0
xo. ... ... ...&#x  | 2  1 0 |  1  2  0  0  0 |  * 24  *  *  *  *  *  * |  0  4  0  0  0  0  0 | 0  4 0  0 0
... ox. ... ...&#x  | 1  2 0 |  0  2  1  0  0 |  *  * 96  *  *  *  *  * |  0  1  2  0  0  0  0 | 0  2 1  0 0
.o.3.x. ... ...     | 0  3 0 |  0  0  3  0  0 |  *  *  * 32  *  *  *  * |  0  1  0  2  1  0  0 | 0  2 0  2 0
... .x.3.o. ...     | 0  3 0 |  0  0  3  0  0 |  *  *  *  * 64  *  *  * |  0  0  1  1  0  1  0 | 0  1 1  1 0
.ox ... ... ...&#x  | 0  1 2 |  0  0  0  2  1 |  *  *  *  *  * 24  *  * |  0  0  0  0  4  0  0 | 0  0 0  4 0
... .xo ... ...     | 0  2 1 |  0  0  1  2  0 |  *  *  *  *  *  * 96  * |  0  0  0  0  1  2  0 | 0  0 1  2 0
..x3..o ... ...     | 0  0 3 |  0  0  0  0  3 |  *  *  *  *  *  *  * 32 |  0  0  0  0  1  0  2 | 0  0 0  2 1
--------------------+--------+----------------+-------------------------+----------------------+------------
x..3o..3o.. ...      4  0 0 |  6  0  0  0  0 |  4  0  0  0  0  0  0  0 | 16  *  *  *  *  *  * | 1  1 0  0 0
xo.3ox. ... ...&#x   3  3 0 |  3  6  3  0  0 |  1  3  3  1  0  0  0  0 |  * 32  *  *  *  *  * | 0  2 0  0 0
... ox.3oo. ...&#x   1  3 0 |  0  3  3  0  0 |  0  0  3  0  1  0  0  0 |  *  * 64  *  *  *  * | 0  1 1  0 0
.o.3.x.3.o. ...      0  6 0 |  0  0 12  0  0 |  0  0  0  4  4  0  0  0 |  *  *  * 16  *  *  * | 0  1 0  1 0
.ox3.xo ... ...&#x   0  3 3 |  0  0  3  6  3 |  0  0  0  1  0  3  3  1 |  *  *  *  * 32  *  * | 0  0 0  2 0
... .xo3.oo ...&#x   0  3 1 |  0  0  3  3  0 |  0  0  0  0  1  0  3  0 |  *  *  *  *  * 64  * | 0  0 1  1 0
..x3..o3..o ...      0  0 4 |  0  0  0  0  6 |  0  0  0  0  0  0  0  4 |  *  *  *  *  *  * 16 | 0  0 0  1 1
--------------------+--------+----------------+-------------------------+----------------------+------------
x..3o..3o..4o..      8  0 0 | 24  0  0  0  0 | 32  0  0  0  0  0  0  0 | 16  0  0  0  0  0  0 | 1  * *  * *
xo.3ox.3oo. ...&#x   4  6 0 |  6 12 12  0  0 |  4  6 12  4  4  0  0  0 |  1  4  4  1  0  0  0 | * 16 *  * *
... oxo3ooo4ooo&#xt  1  6 1 |  0  6 12  6  0 |  0  0 12  0  8  0 12  0 |  0  0  8  0  0  8  0 | *  * 8  * *
.ox3.xo3.oo ...&#x   0  6 4 |  0  0 12 12  6 |  0  0  0  4  4  6 12  4 |  0  0  0  1  4  4  1 | *  * * 16 *
..x3..o3..o4..o      0  0 8 |  0  0  0  0 24 |  0  0  0  0  0  0  0 32 |  0  0  0  0  0  0 16 | *  * *  * 1
or
o..3o..3o..4o..    & | 16  *   6  6  0 | 12  6  12  0  0 |  8 12   8  0 | 1  8 1
.o.3.o.3.o.4.o.      |  * 24   0  4  8 |  0  2  16  4  8 |  0  8  16  4 | 0  8 2
---------------------+-------+----------+-----------------+--------------+-------
x.. ... ... ...    & |  2  0 | 48  *  *   4  1   0  0  0 |  4  4   0  0 | 1  4 0
oo.3oo.3oo.4oo.&#x & |  1  1 |  * 96  *   0  1   4  0  0 |  0  4   4  0 | 0  4 1
... .x. ... ...      |  0  2 |  *  * 96   0  0   2  1  2 |  0  2   4  2 | 0  4 1
---------------------+-------+----------+-----------------+--------------+-------
x..3o.. ... ...    & |  3  0 |  3  0  0 | 64  *   *  *  * |  2  1   0  0 | 1  2 0
xo. ... ... ...&#x & |  2  1 |  1  2  0 |  * 48   *  *  * |  0  4   0  0 | 0  4 0
... ox. ... ...&#x & |  1  2 |  0  2  1 |  *  * 192  *  * |  0  1   2  0 | 0  2 1
.o.3.x. ... ...      |  0  3 |  0  0  3 |  *  *   * 32  * |  0  2   0  2 | 0  4 0
... .x.3.o. ...      |  0  3 |  0  0  3 |  *  *   *  * 64 |  0  0   2  1 | 0  2 1
---------------------+-------+----------+-----------------+--------------+-------
x..3o..3o.. ...    &   4  0 |  6  0  0 |  4  0   0  0  0 | 32  *   *  * | 1  1 0
xo.3ox. ... ...&#x &   3  3 |  3  6  3 |  1  3   3  1  0 |  * 64   *  * | 0  2 0
... ox.3oo. ...&#x &   1  3 |  0  3  3 |  0  0   3  0  1 |  *  * 128  * | 0  1 1
.o.3.x.3.o. ...        0  6 |  0  0 12 |  0  0   0  4  4 |  *  *   * 16 | 0  2 0
---------------------+-------+----------+-----------------+--------------+-------
x..3o..3o..4o..    &   8  0 | 24  0  0 | 32  0   0  0  0 | 16  0   0  0 | 2  * *
xo.3ox.3oo. ...&#x &   4  6 |  6 12 12 |  4  6  12  4  4 |  1  4   4  1 | * 32 *
... oxo3ooo4ooo&#xt    2  6 |  0 12 12 |  0  0  24  0  8 |  0  0  16  0 | *  * 8

ooo3oxo3ooo *b3xox&#xt   → both heights = 1/sqrt(2) = 0.707107
(hex || pseudo ico || hex)

o..3o..3o.. *b3o..     | 8  * *   6  6  0  0  0 | 12 12  6  0  0  0  0  0  0 | 4 4  4  4 12 0 0  0  0  0 0 0 | 1 4 4 1 0 0 0
.o.3.o.3.o. *b3.o.     | * 24 *   0  2  8  2  0 |  0  8  1  4  4  4  8  1  0 | 0 0  4  4  4 2 2  4  4  4 0 0 | 0 2 2 2 2 2 0
..o3..o3..o *b3..o     | *  * 8   0  0  0  6  6 |  0  0  0  0  0  0 12  6 12 | 0 0  0  0  0 0 0  4  4 12 4 4 | 0 0 0 1 4 4 1
-----------------------+--------+----------------+----------------------------+-------------------------------+--------------
... ... ...    x..     | 2  0 0 | 24  *  *  *  *   4  0  1  0  0  0  0  0  0 | 2 2  0  0  4 0 0  0  0  0 0 0 | 1 2 2 0 0 0 0
oo.3oo.3oo. *b3oo.&#x  | 1  1 0 |  * 48  *  *  *   0  4  1  0  0  0  0  0  0 | 0 0  2  2  4 0 0  0  0  0 0 0 | 0 2 2 1 0 0 0
... .x. ...    ...     | 0  2 0 |  *  * 96  *  *   0  1  0  1  1  1  1  0  0 | 0 0  1  1  1 1 1  1  1  1 0 0 | 0 1 1 1 1 1 0
.oo3.oo3.oo *b3.oo&#x  | 0  1 1 |  *  *  * 48  *   0  0  0  0  0  0  4  1  0 | 0 0  0  0  0 0 0  2  2  4 0 0 | 0 0 0 1 2 2 0
... ... ...    ..x     | 0  0 2 |  *  *  *  * 24   0  0  0  0  0  0  0  1  4 | 0 0  0  0  0 0 0  0  0  4 2 2 | 0 0 0 0 2 2 1
-----------------------+--------+----------------+----------------------------+-------------------------------+--------------
... o.. ... *b3x..     | 3  0 0 |  3  0  0  0  0 | 32  *  *  *  *  *  *  *  * | 1 1  0  0  1 0 0  0  0  0 0 0 | 1 1 1 0 0 0 0
... ox. ...    ...&#x  | 1  2 0 |  0  2  1  0  0 |  * 96  *  *  *  *  *  *  * | 0 0  1  1  1 0 0  0  0  0 0 0 | 0 1 1 1 0 0 0
... ... ...    xo.&#x  | 2  1 0 |  1  2  0  0  0 |  *  * 24  *  *  *  *  *  * | 0 0  0  0  4 0 0  0  0  0 0 0 | 0 2 2 0 0 0 0
.o.3.x. ...    ...     | 0  3 0 |  0  0  3  0  0 |  *  *  * 32  *  *  *  *  * | 0 0  1  0  0 1 0  1  0  0 0 0 | 0 1 0 1 1 0 0
... .x.3.o.    ...     | 0  3 0 |  0  0  3  0  0 |  *  *  *  * 32  *  *  *  * | 0 0  0  1  0 0 1  0  1  0 0 0 | 0 0 1 1 0 1 0
... .x. ... *b3.o.     | 0  3 0 |  0  0  3  0  0 |  *  *  *  *  * 32  *  *  * | 0 0  0  0  1 1 1  0  0  1 0 0 | 0 1 1 0 1 1 0
... .xo ...    ...&#x  | 0  2 1 |  0  0  1  2  0 |  *  *  *  *  *  * 96  *  * | 0 0  0  0  0 0 0  1  1  1 0 0 | 0 0 0 1 1 1 0
... ... ...    .ox&#x  | 0  1 2 |  0  0  0  2  1 |  *  *  *  *  *  *  * 24  * | 0 0  0  0  0 0 0  0  0  4 0 0 | 0 0 0 0 2 2 0
... ..o ... *b3..x     | 0  0 3 |  0  0  0  0  3 |  *  *  *  *  *  *  *  * 32 | 0 0  0  0  0 0 0  0  0  1 1 1 | 0 0 0 0 1 1 1
-----------------------+--------+----------------+----------------------------+-------------------------------+--------------
o..3o.. ... *b3x..      4  0 0 |  6  0  0  0  0 |  4  0  0  0  0  0  0  0  0 | 8 *  *  *  * * *  *  *  * * * | 1 1 0 0 0 0 0
... o..3o.. *b3x..      4  0 0 |  6  0  0  0  0 |  4  0  0  0  0  0  0  0  0 | * 8  *  *  * * *  *  *  * * * | 1 0 1 0 0 0 0
oo.3ox. ...    ...&#x   1  3 0 |  0  3  3  0  0 |  0  3  0  1  0  0  0  0  0 | * * 32  *  * * *  *  *  * * * | 0 1 0 1 0 0 0
... ox.3oo.    ...&#x   1  3 0 |  0  3  3  0  0 |  0  3  0  0  1  0  0  0  0 | * *  * 32  * * *  *  *  * * * | 0 0 1 1 0 0 0
... ox. ... *b3xo.&#x   3  3 0 |  3  6  3  0  0 |  1  3  3  0  0  1  0  0  0 | * *  *  * 32 * *  *  *  * * * | 0 1 1 0 0 0 0
.o.3.x. ... *b3.o.      0  6 0 |  0  0 12  0  0 |  0  0  0  4  0  4  0  0  0 | * *  *  *  * 8 *  *  *  * * * | 0 1 0 0 1 0 0
... .x.3.o. *b3.o.      0  6 0 |  0  0 12  0  0 |  0  0  0  0  4  4  0  0  0 | * *  *  *  * * 8  *  *  * * * | 0 0 1 0 0 1 0
.oo3.xo ...    ...&#x   0  3 1 |  0  0  3  3  0 |  0  0  0  1  0  0  3  0  0 | * *  *  *  * * * 32  *  * * * | 0 0 0 1 1 0 0
... .xo3.oo    ...&#x   0  3 1 |  0  0  3  3  0 |  0  0  0  0  1  0  3  0  0 | * *  *  *  * * *  * 32  * * * | 0 0 0 1 0 1 0
... .xo ... *b3.ox&#x   0  3 3 |  0  0  3  6  3 |  0  0  0  0  0  1  3  3  1 | * *  *  *  * * *  *  * 32 * * | 0 0 0 0 1 1 0
..o3..o ... *b3..x      0  0 4 |  0  0  0  0  6 |  0  0  0  0  0  0  0  0  4 | * *  *  *  * * *  *  *  * 8 * | 0 0 0 0 1 0 1
... ..o3..o *b3..x      0  0 4 |  0  0  0  0  6 |  0  0  0  0  0  0  0  0  4 | * *  *  *  * * *  *  *  * * 8 | 0 0 0 0 0 1 1
-----------------------+--------+----------------+----------------------------+-------------------------------+--------------
o..3o..3o.. *b3x..      8  0 0 | 24  0  0  0  0 | 32  0  0  0  0  0  0  0  0 | 8 8  0  0  0 0 0  0  0  0 0 0 | 1 * * * * * *
oo.3ox. ... *b3xo.&#x   4  6 0 |  6 12 12  0  0 |  4 12  6  4  0  4  0  0  0 | 1 0  4  0  4 1 0  0  0  0 0 0 | * 8 * * * * *
... ox.3oo. *b3xo.&#x   4  6 0 |  6 12 12  0  0 |  4 12  6  0  4  4  0  0  0 | 0 1  0  4  4 0 1  0  0  0 0 0 | * * 8 * * * *
ooo3oxo3ooo    ...&#xt  1  6 1 |  0  6 12  6  0 |  0 12  0  4  4  0 12  0  0 | 0 0  4  4  0 0 0  4  4  0 0 0 | * * * 8 * * *
.oo3.xo ... *b3.ox&#x   0  6 4 |  0  0 12 12  6 |  0  0  0  4  0  4 12  6  4 | 0 0  0  0  0 1 0  4  0  4 1 0 | * * * * 8 * *
... .xo3.oo *b3.ox&#x   0  6 4 |  0  0 12 12  6 |  0  0  0  0  4  4 12  6  4 | 0 0  0  0  0 0 1  0  4  4 0 1 | * * * * * 8 *
..o3..o3..o *b3..x      0  0 8 |  0  0  0  0 24 |  0  0  0  0  0  0  0  0 32 | 0 0  0  0  0 0 0  0  0  0 8 8 | * * * * * * 1
or
o..3o..3o.. *b3o..     & | 16  *   6  6  0 | 12  12  6  0  0  0 |  4  4  4  4 12 0 0 | 1  4  4 1
.o.3.o.3.o. *b3.o.       |  * 24   0  4  8 |  0  16  2  4  4  4 |  0  0  8  8  8 2 2 | 0  4  4 2
-------------------------+-------+----------+--------------------+--------------------+----------
... ... ...    x..     & |  2  0 | 48  *  *   4   0  1  0  0  0 |  2  2  0  0  4 0 0 | 1  2  2 0
oo.3oo.3oo. *b3oo.&#x  & |  1  1 |  * 96  *   0   4  1  0  0  0 |  0  0  2  2  4 0 0 | 0  2  2 1
... .x. ...    ...       |  0  2 |  *  * 96   0   2  0  1  1  1 |  0  0  2  2  2 1 1 | 0  2  2 1
-------------------------+-------+----------+--------------------+--------------------+----------
... o.. ... *b3x..     & |  3  0 |  3  0  0 | 64   *  *  *  *  * |  1  1  0  0  1 0 0 | 1  1  1 0
... ox. ...    ...&#x  & |  1  2 |  0  2  1 |  * 192  *  *  *  * |  0  0  1  1  1 0 0 | 0  1  1 1
... ... ...    xo.&#x  & |  2  1 |  1  2  0 |  *   * 48  *  *  * |  0  0  0  0  4 0 0 | 0  2  2 0
.o.3.x. ...    ...       |  0  3 |  0  0  3 |  *   *  * 32  *  * |  0  0  2  0  0 1 0 | 0  2  0 1
... .x.3.o.    ...       |  0  3 |  0  0  3 |  *   *  *  * 32  * |  0  0  0  2  0 0 1 | 0  0  2 1
... .x. ... *b3.o.       |  0  3 |  0  0  3 |  *   *  *  *  * 32 |  0  0  0  0  2 1 1 | 0  2  2 0
-------------------------+-------+----------+--------------------+--------------------+----------
o..3o.. ... *b3x..     &   4  0 |  6  0  0 |  4   0  0  0  0  0 | 16  *  *  *  * * * | 1  1  0 0
... o..3o.. *b3x..     &   4  0 |  6  0  0 |  4   0  0  0  0  0 |  * 16  *  *  * * * | 1  0  1 0
oo.3ox. ...    ...&#x  &   1  3 |  0  3  3 |  0   3  0  1  0  0 |  *  * 64  *  * * * | 0  1  0 1
... ox.3oo.    ...&#x  &   1  3 |  0  3  3 |  0   3  0  0  1  0 |  *  *  * 64  * * * | 0  0  1 1
... ox. ... *b3xo.&#x  &   3  3 |  3  6  3 |  1   3  3  0  0  1 |  *  *  *  * 64 * * | 0  1  1 0
.o.3.x. ... *b3.o.         0  6 |  0  0 12 |  0   0  0  4  0  4 |  *  *  *  *  * 8 * | 0  2  0 0
... .x.3.o. *b3.o.         0  6 |  0  0 12 |  0   0  0  0  4  4 |  *  *  *  *  * * 8 | 0  0  2 0
-------------------------+-------+----------+--------------------+--------------------+----------
o..3o..3o.. *b3x..     &   8  0 | 24  0  0 | 32   0  0  0  0  0 |  8  8  0  0  0 0 0 | 2  *  * *
oo.3ox. ... *b3xo.&#x  &   4  6 |  6 12 12 |  4  12  6  4  0  4 |  1  0  4  0  4 1 0 | * 16  * *
... ox.3oo. *b3xo.&#x  &   4  6 |  6 12 12 |  4  12  6  0  4  4 |  0  1  0  4  4 0 1 | *  * 16 *
ooo3oxo3ooo    ...&#xt     2  6 |  0 12 12 |  0  24  0  4  4  0 |  0  0  8  8  0 0 0 | *  *  * 8
or
o..3o..3o.. *b3o..     & | 16  *   6  6  0 | 12  12  6  0  0 |  4  4  4  4 12  0 | 1  4  4 1
.o.3.o.3.o. *b3.o.       |  * 24   0  4  8 |  0  16  2  8  4 |  0  0  8  8  8  4 | 0  4  4 2
-------------------------+-------+----------+-----------------+-------------------+----------
... ... ...    x..     & |  2  0 | 48  *  *   4   0  1  0  0 |  2  2  0  0  4  0 | 1  2  2 0
oo.3oo.3oo. *b3oo.&#x  & |  1  1 |  * 96  *   0   4  1  0  0 |  0  0  2  2  4  0 | 0  2  2 1
... .x. ...    ...       |  0  2 |  *  * 96   0   2  0  2  1 |  0  0  2  2  2  2 | 0  2  2 1
-------------------------+-------+----------+-----------------+-------------------+----------
... o.. ... *b3x..     & |  3  0 |  3  0  0 | 64   *  *  *  * |  1  1  0  0  1  0 | 1  1  1 0
... ox. ...    ...&#x  & |  1  2 |  0  2  1 |  * 192  *  *  * |  0  0  1  1  1  0 | 0  1  1 1
... ... ...    xo.&#x  & |  2  1 |  1  2  0 |  *   * 48  *  * |  0  0  0  0  4  0 | 0  2  2 0
.o.3.x. ...    ...     & |  0  3 |  0  0  3 |  *   *  * 64  * |  0  0  1  1  0  1 | 0  1  1 1
... .x. ... *b3.o.       |  0  3 |  0  0  3 |  *   *  *  * 32 |  0  0  0  0  2  2 | 0  2  2 0
-------------------------+-------+----------+-----------------+-------------------+----------
o..3o.. ... *b3x..     &   4  0 |  6  0  0 |  4   0  0  0  0 | 16  *  *  *  *  * | 1  1  0 0
... o..3o.. *b3x..     &   4  0 |  6  0  0 |  4   0  0  0  0 |  * 16  *  *  *  * | 1  0  1 0
oo.3ox. ...    ...&#x  &   1  3 |  0  3  3 |  0   3  0  1  0 |  *  * 64  *  *  * | 0  1  0 1
... ox.3oo.    ...&#x  &   1  3 |  0  3  3 |  0   3  0  1  0 |  *  *  * 64  *  * | 0  0  1 1
... ox. ... *b3xo.&#x  &   3  3 |  3  6  3 |  1   3  3  0  1 |  *  *  *  * 64  * | 0  1  1 0
.o.3.x. ... *b3.o.     &   0  6 |  0  0 12 |  0   0  0  4  4 |  *  *  *  *  * 16 | 0  1  1 0
-------------------------+-------+----------+-----------------+-------------------+----------
o..3o..3o.. *b3x..     &   8  0 | 24  0  0 | 32   0  0  0  0 |  8  8  0  0  0  0 | 2  *  * *
oo.3ox. ... *b3xo.&#x  &   4  6 |  6 12 12 |  4  12  6  4  4 |  1  0  4  0  4  1 | * 16  * *
... ox.3oo. *b3xo.&#x  &   4  6 |  6 12 12 |  4  12  6  4  4 |  0  1  0  4  4  1 | *  * 16 *
ooo3oxo3ooo    ...&#xt     2  6 |  0 12 12 |  0  24  0  8  0 |  0  0  8  8  0  0 | *  *  * 8

oxo3xoo3oox3oxo&#xt   → both heights = sqrt(2/5) = 0.632456
(rap || pseudo spid || inv rap)

o..3o..3o..3o..     | 10  *  *   6  6  0  0  0  0 |  3  6  3 12  6  0  0  0  0  0  0  0 | 3 2  6  3  6  2  3 0 0  0  0  0  0 0 0 | 1 3 2  3  1 0 0 0
.o.3.o.3.o.3.o.     |  * 20  *   0  3  3  3  3  0 |  0  0  3  3  6  3  3  6  3  3  0  0 | 0 0  3  1  3  3  6 1 1  3  3  1  3 0 0 | 0 1 1  3  3 1 1 0
..o3..o3..o3..o     |  *  * 10   0  0  0  0  6  6 |  0  0  0  0  0  0  0  6 12  3  6  3 | 0 0  0  0  0  0  3 0 0  2  6  6  6 2 3 | 0 0 0  1  3 2 3 1
--------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------
... x.. ... ...     |  2  0  0 | 30  *  *  *  *  *   1  2  0  2  0  0  0  0  0  0  0  0 | 2 1  2  2  1  0  0 0 0  0  0  0  0 0 0 | 1 2 1  1  0 0 0 0
oo.3oo.3oo.3oo.&#x  |  1  1  0 |  * 60  *  *  *  *   0  0  1  2  2  0  0  0  0  0  0  0 | 0 0  2  1  2  1  2 0 0  0  0  0  0 0 0 | 0 1 1  2  1 0 0 0
.x. ... ... ...     |  0  2  0 |  *  * 30  *  *  *   0  0  1  0  0  2  0  2  0  0  0  0 | 0 0  2  0  0  0  2 1 0  2  1  0  0 0 0 | 0 1 0  2  1 1 0 0
... ... ... .x.     |  0  2  0 |  *  *  * 30  *  *   0  0  0  0  2  0  2  0  0  1  0  0 | 0 0  0  0  1  2  2 0 1  0  0  0  2 0 0 | 0 0 1  1  2 0 1 0
.oo3.oo3.oo3.oo&#x  |  0  1  1 |  *  *  *  * 60  *   0  0  0  0  0  0  0  2  2  1  0  0 | 0 0  0  0  0  0  2 0 0  1  2  1  2 0 0 | 0 0 0  1  2 1 1 0
... ... ..x ...     |  0  0  2 |  *  *  *  *  * 30   0  0  0  0  0  0  0  0  2  0  2  1 | 0 0  0  0  0  0  0 0 0  0  1  2  2 1 2 | 0 0 0  0  1 1 2 1
--------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------
o..3x.. ... ...     |  3  0  0 |  3  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  *  * | 2 0  2  0  0  0  0 0 0  0  0  0  0 0 0 | 1 2 0  1  0 0 0 0
... x..3o.. ...     |  3  0  0 |  3  0  0  0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  * | 1 1  0  1  0  0  0 0 0  0  0  0  0 0 0 | 1 1 1  0  0 0 0 0
ox. ... ... ...&#x  |  1  2  0 |  0  2  1  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  * | 0 0  2  0  0  0  2 0 0  0  0  0  0 0 0 | 0 1 0  2  1 0 0 0
... xo. ... ...&#x  |  2  1  0 |  1  2  0  0  0  0 |  *  *  * 60  *  *  *  *  *  *  *  * | 0 0  1  1  1  0  0 0 0  0  0  0  0 0 0 | 0 1 1  1  0 0 0 0
... ... ... ox.&#x  |  1  2  0 |  0  2  0  1  0  0 |  *  *  *  * 60  *  *  *  *  *  *  * | 0 0  0  0  1  1  1 0 0  0  0  0  0 0 0 | 0 0 1  1  1 0 0 0
.x.3.o. ... ...     |  0  3  0 |  0  0  3  0  0  0 |  *  *  *  *  * 20  *  *  *  *  *  * | 0 0  1  0  0  0  0 1 0  1  0  0  0 0 0 | 0 1 0  1  0 1 0 0
... ... .o.3.x.     |  0  3  0 |  0  0  0  3  0  0 |  *  *  *  *  *  * 20  *  *  *  *  * | 0 0  0  0  0  1  0 0 1  0  0  0  1 0 0 | 0 0 1  0  1 0 1 0
.xo ... ... ...&#x  |  0  2  1 |  0  0  1  0  2  0 |  *  *  *  *  *  *  * 60  *  *  *  * | 0 0  0  0  0  0  1 0 0  1  1  0  0 0 0 | 0 0 0  1  1 1 0 0
... ... .ox ...&#x  |  0  1  2 |  0  0  0  0  2  1 |  *  *  *  *  *  *  *  * 60  *  *  * | 0 0  0  0  0  0  0 0 0  0  1  1  1 0 0 | 0 0 0  0  1 1 1 0
... ... ... .xo&#x  |  0  2  1 |  0  0  0  1  2  0 |  *  *  *  *  *  *  *  *  * 30  *  * | 0 0  0  0  0  0  2 0 0  0  0  0  2 0 0 | 0 0 0  1  2 0 1 0
... ..o3..x ...     |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  * 20  * | 0 0  0  0  0  0  0 0 0  0  0  1  0 1 1 | 0 0 0  0  0 1 1 1
... ... ..x3..o     |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  * 10 | 0 0  0  0  0  0  0 0 0  0  0  0  2 0 2 | 0 0 0  0  1 0 2 1
--------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------
o..3x..3o.. ...       6  0  0 | 12  0  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0  0  0 | 5 *  *  *  *  *  * * *  *  *  *  * * * | 1 1 0  0  0 0 0 0
... x..3o..3o..       4  0  0 |  6  0  0  0  0  0 |  0  4  0  0  0  0  0  0  0  0  0  0 | * 5  *  *  *  *  * * *  *  *  *  * * * | 1 0 1  0  0 0 0 0
ox.3xo. ... ...&#x    3  3  0 |  3  6  3  0  0  0 |  1  0  3  3  0  1  0  0  0  0  0  0 | * * 20  *  *  *  * * *  *  *  *  * * * | 0 1 0  1  0 0 0 0
... xo.3oo. ...&#x    3  1  0 |  3  3  0  0  0  0 |  0  1  0  3  0  0  0  0  0  0  0  0 | * *  * 20  *  *  * * *  *  *  *  * * * | 0 1 1  0  0 0 0 0
... xo. ... ox.&#x    2  2  0 |  1  4  0  1  0  0 |  0  0  0  2  2  0  0  0  0  0  0  0 | * *  *  * 30  *  * * *  *  *  *  * * * | 0 0 1  1  0 0 0 0
... ... oo.3ox.&#x    1  3  0 |  0  3  0  3  0  0 |  0  0  0  0  3  0  1  0  0  0  0  0 | * *  *  *  * 20  * * *  *  *  *  * * * | 0 0 1  0  1 0 0 0
oxo ... ... oxo&#xt   1  4  1 |  0  4  2  2  4  0 |  0  0  2  0  2  0  0  2  0  2  0  0 | * *  *  *  *  * 30 * *  *  *  *  * * * | 0 0 0  1  1 0 0 0
.x.3.o.3.o. ...       0  4  0 |  0  0  6  0  0  0 |  0  0  0  0  0  4  0  0  0  0  0  0 | * *  *  *  *  *  * 5 *  *  *  *  * * * | 0 1 0  0  0 1 0 0
... .o.3.o.3.x.       0  4  0 |  0  0  0  6  0  0 |  0  0  0  0  0  0  4  0  0  0  0  0 | * *  *  *  *  *  * * 5  *  *  *  * * * | 0 0 1  0  0 0 1 0
.xo3.oo ... ...&#x    0  3  1 |  0  0  3  0  3  0 |  0  0  0  0  0  1  0  3  0  0  0  0 | * *  *  *  *  *  * * * 20  *  *  * * * | 0 0 0  1  0 1 0 0
.xo ... .ox ...&#x    0  2  2 |  0  0  1  0  4  1 |  0  0  0  0  0  0  0  2  2  0  0  0 | * *  *  *  *  *  * * *  * 30  *  * * * | 0 0 0  0  1 1 0 0
... .oo3.ox ...&#x    0  1  3 |  0  0  0  0  3  3 |  0  0  0  0  0  0  0  0  3  0  1  0 | * *  *  *  *  *  * * *  *  * 20  * * * | 0 0 0  0  0 1 1 0
... ... .ox3.xo&#x    0  3  3 |  0  0  0  3  6  3 |  0  0  0  0  0  0  1  0  3  3  0  1 | * *  *  *  *  *  * * *  *  *  * 20 * * | 0 0 0  0  1 0 1 0
..o3..o3..x ...       0  0  4 |  0  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  0  4  0 | * *  *  *  *  *  * * *  *  *  *  * 5 * | 0 0 0  0  0 1 0 1
... ..o3..x3..o       0  0  6 |  0  0  0  0  0 12 |  0  0  0  0  0  0  0  0  0  0  4  4 | * *  *  *  *  *  * * *  *  *  *  * * 5 | 0 0 0  0  0 0 1 1
--------------------+----------+-------------------+-------------------------------------+----------------------------------------+------------------
o..3x..3o..3o..      10  0  0 | 30  0  0  0  0  0 | 10 20  0  0  0  0  0  0  0  0  0  0 | 5 5  0  0  0  0  0 0 0  0  0  0  0 0 0 | 1 * *  *  * * * *
ox.3xo.3oo. ...&#x    6  4  0 | 12 12  6  0  0  0 |  4  4  6 12  0  4  0  0  0  0  0  0 | 1 0  4  4  0  0  0 1 0  0  0  0  0 0 0 | * 5 *  *  * * * *
... xo.3oo.3ox.&#x    4  4  0 |  6 12  0  6  0  0 |  0  4  0 12 12  0  4  0  0  0  0  0 | 0 1  0  4  6  4  0 0 1  0  0  0  0 0 0 | * * 5  *  * * * *
oxo3xoo ... oxo&#xt   3  6  1 |  3 12  6  3  6  0 |  1  0  6  6  6  2  0  6  0  3  0  0 | 0 0  2  0  3  0  3 0 0  2  0  0  0 0 0 | * * * 10  * * * *
oxo ... oox3oxo&#xt   1  6  3 |  0  6  3  6 12  3 |  0  0  3  0  6  0  2  6  6  6  0  1 | 0 0  0  0  0  2  3 0 0  0  3  0  2 0 0 | * * *  * 10 * * *
.xo3.oo3.ox ...&#x    0  4  4 |  0  0  6  0 12  6 |  0  0  0  0  0  4  0 12 12  0  4  0 | 0 0  0  0  0  0  0 1 0  4  6  4  0 1 0 | * * *  *  * 5 * *
... .oo3.ox3.xo&#x    0  4  6 |  0  0  0  6 12 12 |  0  0  0  0  0  0  4  0 12  6  4  4 | 0 0  0  0  0  0  0 0 1  0  0  4  4 0 1 | * * *  *  * * 5 *
..o3..o3..x3..o       0  0 10 |  0  0  0  0  0 30 |  0  0  0  0  0  0  0  0  0  0 20 10 | 0 0  0  0  0  0  0 0 0  0  0  0  0 5 5 | * * *  *  * * * 1
or
o..3o..3o..3o..     & | 20  *   6   6  0 |  3  6  3  12   6  0 |  3  2  6  6  6  2  3  0 | 1  3  2  4
.o.3.o.3.o.3.o.       |  * 20   0   6  6 |  0  0  6   6  12  6 |  0  0  6  2  6  6  6  2 | 0  2  2  6
----------------------+-------+-----------+---------------------+-------------------------+-----------
... x.. ... ...     & |  2  0 | 60   *  *   1  2  0   2   0  0 |  2  1  2  2  1  0  0  0 | 1  2  1  1
oo.3oo.3oo.3oo.&#x  & |  1  1 |  * 120  *   0  0  1   2   2  0 |  0  0  2  1  2  1  2  0 | 0  1  1  3
.x. ... ... ...     & |  0  2 |  *   * 60   0  0  1   0   2  2 |  0  0  2  0  1  2  2  1 | 0  1  1  3
----------------------+-------+-----------+---------------------+-------------------------+-----------
o..3x.. ... ...     & |  3  0 |  3   0  0 | 20  *  *   *   *  * |  2  0  2  0  0  0  0  0 | 1  2  0  1
... x..3o.. ...     & |  3  0 |  3   0  0 |  * 40  *   *   *  * |  1  1  0  1  0  0  0  0 | 1  1  1  0
ox. ... ... ...&#x  & |  1  2 |  0   2  1 |  *  * 60   *   *  * |  0  0  2  0  0  0  2  0 | 0  1  0  3
... xo. ... ...&#x  & |  2  1 |  1   2  0 |  *  *  * 120   *  * |  0  0  1  1  1  0  0  0 | 0  1  1  1
... ... ... ox.&#x  & |  1  2 |  0   2  1 |  *  *  *   * 120  * |  0  0  0  0  1  1  1  0 | 0  0  1  2
.x.3.o. ... ...     & |  0  3 |  0   0  3 |  *  *  *   *   * 40 |  0  0  1  0  0  1  0  1 | 0  1  1  1
----------------------+-------+-----------+---------------------+-------------------------+-----------
o..3x..3o.. ...     &   6  0 | 12   0  0 |  4  4  0   0   0  0 | 10  *  *  *  *  *  *  * | 1  1  0  0
... x..3o..3o..     &   4  0 |  6   0  0 |  0  4  0   0   0  0 |  * 10  *  *  *  *  *  * | 1  0  1  0
ox.3xo. ... ...&#x  &   3  3 |  3   6  3 |  1  0  3   3   0  1 |  *  * 40  *  *  *  *  * | 0  1  0  1
... xo.3oo. ...&#x  &   3  1 |  3   3  0 |  0  1  0   3   0  0 |  *  *  * 40  *  *  *  * | 0  1  1  0
... xo. ... ox.&#x  &   2  2 |  1   4  1 |  0  0  0   2   2  0 |  *  *  *  * 60  *  *  * | 0  0  1  1
... ... oo.3ox.&#x  &   1  3 |  0   3  3 |  0  0  0   0   3  1 |  *  *  *  *  * 40  *  * | 0  0  1  1
oxo ... ... oxo&#xt     2  4 |  0   8  4 |  0  0  4   0   4  0 |  *  *  *  *  *  * 30  * | 0  0  0  2
.x.3.o.3.o. ...     &   0  4 |  0   0  6 |  0  0  0   0   0  4 |  *  *  *  *  *  *  * 10 | 0  1  1  0
----------------------+-------+-----------+---------------------+-------------------------+-----------
o..3x..3o..3o..     &  10  0 | 30   0  0 | 10 20  0   0   0  0 |  5  5  0  0  0  0  0  0 | 2  *  *  *
ox.3xo.3oo. ...&#x  &   6  4 | 12  12  6 |  4  4  6  12   0  4 |  1  0  4  4  0  0  0  1 | * 10  *  *
... xo.3oo.3ox.&#x  &   4  4 |  6  12  6 |  0  4  0  12  12  4 |  0  1  0  4  6  4  0  1 | *  * 10  *
oxo3xoo ... oxo&#xt &   4  6 |  3  18  9 |  1  0  9   6  12  2 |  0  0  2  0  3  2  3  0 | *  *  * 20

qo xo3ox3oo4oo&#zx   → height = 0

o. o.3o.3o.4o.     | 16  *   6  6  0 | 12  6  12  0  0 |  8 12   8  0 | 1 1  8
.o .o3.o3.o4.o     |  * 24   0  4  8 |  0  2  16  4  8 |  0  8  16  4 | 0 2  8
-------------------+-------+----------+-----------------+--------------+-------
.. x. .. .. ..     |  2  0 | 48  *  *   4  1   0  0  0 |  4  4   0  0 | 1 0  4
oo oo3oo3oo4oo&#x  |  1  1 |  * 96  *   0  1   4  0  0 |  0  4   4  0 | 0 1  4
.. .. .x .. ..     |  0  2 |  *  * 96   0  0   2  1  2 |  0  2   4  2 | 0 1  4
-------------------+-------+----------+-----------------+--------------+-------
.. x.3o. .. ..     |  3  0 |  3  0  0 | 64  *   *  *  * |  2  1   0  0 | 1 0  2
.. xo .. .. ..&#x  |  2  1 |  1  2  0 |  * 48   *  *  * |  0  4   0  0 | 0 0  4
.. .. ox .. ..&#x  |  1  2 |  0  2  1 |  *  * 192  *  * |  0  1   2  0 | 0 1  2
.. .o3.x .. ..     |  0  3 |  0  0  3 |  *  *   * 32  * |  0  2   0  2 | 0 0  4
.. .. .x3.o ..     |  0  3 |  0  0  3 |  *  *   *  * 64 |  0  0   2  1 | 0 1  2
-------------------+-------+----------+-----------------+--------------+-------
.. x.3o.3o. ..       4  0 |  6  0  0 |  4  0   0  0  0 | 32  *   *  * | 1 0  1
.. xo3ox .. ..&#x    3  3 |  3  6  3 |  1  3   3  1  0 |  * 64   *  * | 0 0  2
.. .. ox3oo ..&#x    1  3 |  0  3  3 |  0  0   3  0  1 |  *  * 128  * | 0 1  1
.. .o3.x3.o ..       0  6 |  0  0 12 |  0  0   0  4  4 |  *  *   * 16 | 0 0  2
-------------------+-------+----------+-----------------+--------------+-------
.. x.3o.3o.4o.       8  0 | 24  0  0 | 32  0   0  0  0 | 16  0   0  0 | 2 *  *
qo .. ox3oo4oo&#zx   2  6 |  0 12 12 |  0  0  24  0  8 |  0  0  16  0 | * 8  *
.. xo3ox3oo ..&#x    4  6 |  6 12 12 |  4  6  12  4  4 |  1  4   4  1 | * * 32

qoo4oxo oxo3oox4ooo&#zxt   → heights = 0

o..4o.. o..3o..4o..      | 4  *  *  12  0  0  0  0 |  6 24  0  0  0  0 0 | 12 16  0  0 | 2  8 0
.o.4.o. .o.3.o.4.o.      | * 24  *   2  2  4  4  0 |  2  8  4  8  4  4 0 |  8  8  8  4 | 1  8 1
..o4..o ..o3..o4..o      | *  * 12   0  0  0  8  4 |  0  0  0  8  4 16 2 |  4  0 16  8 | 0  8 2
-------------------------+---------+----------------+---------------------+-------------+-------
oo.4oo. oo.3oo.4oo.&#x   | 1  1  0 | 48  *  *  *  *   1  4  0  0  0  0 0 |  4  4  0  0 | 1  4 0
... .x. ... ... ...      | 0  2  0 |  * 24  *  *  *   1  0  0  4  0  0 0 |  4  0  4  0 | 0  4 1
... ... .x. ... ...      | 0  2  0 |  *  * 48  *  *   0  2  2  0  1  0 0 |  2  4  0  2 | 1  4 0
.oo4.oo .oo3.oo4.oo&#x   | 0  1  1 |  *  *  * 96  *   0  0  0  2  1  2 0 |  2  0  4  2 | 0  4 1
... ... ... ..x ...      | 0  0  2 |  *  *  *  * 24   0  0  0  0  0  4 1 |  0  0  4  4 | 0  4 1
-------------------------+---------+----------------+---------------------+-------------+-------
... ox. ... ... ...&#x   | 1  2  0 |  2  1  0  0  0 | 24  *  *  *  *  * * |  4  0  0  0 | 0  4 0
... ... ox. ... ...&#x   | 1  2  0 |  2  0  1  0  0 |  * 96  *  *  *  * * |  1  2  0  0 | 1  2 0
... ... .x.3.o. ...      | 0  3  0 |  0  0  3  0  0 |  *  * 32  *  *  * * |  0  2  0  1 | 1  2 0
... .xo ... ... ...&#x   | 0  2  1 |  0  1  0  2  0 |  *  *  * 96  *  * * |  1  0  2  0 | 0  2 1
... ... .xo ... ...&#x   | 0  2  1 |  0  0  1  2  0 |  *  *  *  * 48  * * |  2  0  0  2 | 0  4 0
... ... ... .ox ...&#x   | 0  1  2 |  0  0  0  2  1 |  *  *  *  *  * 96 * |  0  0  2  1 | 0  2 1
... ... ..o3..x ...      | 0  0  3 |  0  0  0  0  3 |  *  *  *  *  *  * 8 |  0  0  0  4 | 0  4 0
-------------------------+---------+----------------+---------------------+-------------+-------
... oxo oxo ... ...&#xt   1  4  1 |  4  2  2  4  0 |  2  2  0  2  2  0 0 | 48  *  *  * | 0  2 0
... ... ox.3oo. ...&#x    1  3  0 |  3  0  3  0  0 |  0  3  1  0  0  0 0 |  * 64  *  * | 1  1 0
... .xo ... .ox ...&#x    0  2  2 |  0  1  0  4  1 |  0  0  0  2  0  2 0 |  *  * 96  * | 0  1 1
... ... .xo3.ox ...&#x    0  3  3 |  0  0  3  6  3 |  0  0  1  0  3  3 1 |  *  *  * 32 | 0  2 0
-------------------------+---------+----------------+---------------------+-------------+-------
qo. ... ox.3oo.4oo.&#zx   2  6  0 | 12  0 12  0  0 |  0 24  8  0  0  0 0 |  0 16  0  0 | 4  * *
... oxo oxo3oox ...&#xt   1  6  3 |  6  3  6 12  3 |  3  6  2  6  6  6 1 |  3  2  3  2 | * 32 *
.oo4.xo ... .ox4.oo&#zx   0  4  4 |  0  4  0 16  4 |  0  0  0 16  0 16 0 |  0  0 16  0 | *  * 6

ox(ou)xo ox(oo)xo3oo(xo)oo4oo(oo)oo&#xt   → all heights = 1/2
(pt || pseudo ope || pseudo tegum product of co and u-line || pseudo ope || pt)

o.(..).. o.(..)..3o.(..)..4o.(..)..     & | 2  *  * *  12  0  0  0  0  0  0 |  6 24  0  0  0  0  0  0  0 0 | 12 16  0  0  0  0  0 |  8 2 0  0
.o(..).. .o(..)..3.o(..)..4.o(..)..     & | * 24  * *   1  1  4  4  1  1  0 |  1  4  4  4  4  4  4  4  1 0 |  4  4  4  4  4  4  4 |  4 1 1  4
..(o.).. ..(o.)..3..(o.)..4..(o.)..       | *  * 12 *   0  0  0  8  0  0  4 |  0  0  0  4  4 16  0  4  0 2 |  2  0  8  8  0  2  8 |  4 0 2  4
..(.o).. ..(.o)..3..(.o)..4..(.o)..       | *  *  * 2   0  0  0  0 12  0  0 |  0  0  0  0  0  0 24  0  6 0 |  0  0  0  0 16 12  0 |  0 2 0  8
------------------------------------------+-----------+----------------------+------------------------------+----------------------+----------
oo(..).. oo(..)..3oo(..)..4oo(..)..&#x  & | 1  1  0 0 | 24  *  *  *  *  *  *   1  4  0  0  0  0  0  0  0 0 |  4  4  0  0  0  0  0 |  4 1 0  0
.x(..).. ..(..).. ..(..).. ..(..)..     & | 0  2  0 0 |  * 12  *  *  *  *  *   1  0  0  4  0  0  0  0  0 0 |  4  0  4  0  0  0  0 |  4 0 1  0
..(..).. .x(..).. ..(..).. ..(..)..     & | 0  2  0 0 |  *  * 48  *  *  *  *   0  1  2  0  1  0  1  0  0 0 |  1  2  0  2  2  1  0 |  2 1 0  2
.o(o.).. .o(o.)..3.o(o.)..4.o(o.)..&#x  & | 0  1  1 0 |  *  *  * 96  *  *  *   0  0  0  1  1  2  0  1  0 0 |  1  0  2  2  0  1  2 |  2 0 1  2
.o(.o).. .o(.o)..3.o(.o)..4.o(.o)..&#x  & | 0  1  0 1 |  *  *  *  * 24  *  *   0  0  0  0  0  0  4  0  1 0 |  0  0  0  0  4  4  0 |  0 1 0  4
.o(..)o. .o(..)o.3.o(..)o.4.o(..)o.&#x    | 0  2  0 0 |  *  *  *  *  * 12  *   0  0  0  0  0  0  0  4  1 0 |  0  0  0  0  0  4  4 |  0 0 1  4
..(..).. ..(..).. ..(x.).. ..(..)..       | 0  0  2 0 |  *  *  *  *  *  * 24   0  0  0  0  0  4  0  0  0 1 |  0  0  2  4  0  0  2 |  2 0 1  2
------------------------------------------+-----------+----------------------+------------------------------+----------------------+----------
ox(..).. ..(..).. ..(..).. ..(..)..&#x  & | 1  2  0 0 |  2  1  0  0  0  0  0 | 12  *  *  *  *  *  *  *  * * |  4  0  0  0  0  0  0 |  4 0 0  0
..(..).. ox(..).. ..(..).. ..(..)..&#x  & | 1  2  0 0 |  2  0  1  0  0  0  0 |  * 48  *  *  *  *  *  *  * * |  1  2  0  0  0  0  0 |  2 1 0  0
..(..).. .x(..)..3.o(..).. ..(..)..     & | 0  3  0 0 |  0  0  3  0  0  0  0 |  *  * 32  *  *  *  *  *  * * |  0  1  0  1  1  0  0 |  1 1 0  1
.x(o.).. ..(..).. ..(..).. ..(..)..&#x  & | 0  2  1 0 |  0  1  0  2  0  0  0 |  *  *  * 48  *  *  *  *  * * |  1  0  2  0  0  0  0 |  2 0 1  0
..(..).. .x(o.).. ..(..).. ..(..)..&#x  & | 0  2  1 0 |  0  0  1  2  0  0  0 |  *  *  *  * 48  *  *  *  * * |  1  0  0  2  0  1  0 |  2 0 0  2
..(..).. ..(..).. .o(x.).. ..(..)..&#x  & | 0  1  2 0 |  0  0  0  2  0  0  1 |  *  *  *  *  * 96  *  *  * * |  0  0  1  1  0  0  1 |  1 0 1  1
..(..).. .x(.o).. ..(..).. ..(..)..&#x  & | 0  2  0 1 |  0  0  1  0  2  0  0 |  *  *  *  *  *  * 48  *  * * |  0  0  0  0  2  1  0 |  0 1 0  2
.o(o.)o. .o(o.)o.3.o(o.)o.4.o(o.)o.&#x    | 0  2  1 0 |  0  0  0  2  0  1  0 |  *  *  *  *  *  *  * 48  * * |  0  0  0  0  0  1  2 |  0 0 1  2
.o(.o)o. .o(.o)o.3.o(.o)o.4.o(.o)o.&#x    | 0  2  0 1 |  0  0  0  0  2  1  0 |  *  *  *  *  *  *  *  * 12 * |  0  0  0  0  0  4  0 |  0 0 0  4
..(..).. ..(o.)..3..(x.).. ..(..)..       | 0  0  3 0 |  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  * 8 |  0  0  0  4  0  0  0 |  2 0 0  2
------------------------------------------+-----------+----------------------+------------------------------+----------------------+----------
ox(o.).. ox(o.).. ..(..).. ..(..)..&#xt &  1  4  1 0 |  4  2  2  4  0  0  0 |  2  2  0  2  2  0  0  0  0 0 | 24  *  *  *  *  *  * |  2 0 0  0
..(..).. ox(..)..3oo(..).. ..(..)..&#x  &  1  3  0 0 |  3  0  3  0  0  0  0 |  0  3  1  0  0  0  0  0  0 0 |  * 32  *  *  *  *  * |  1 1 0  0
.x(o.).. ..(..).. .o(x.).. ..(..)..&#x  &  0  2  2 0 |  0  1  0  4  0  0  1 |  0  0  0  2  0  2  0  0  0 0 |  *  * 48  *  *  *  * |  1 0 1  0
..(..).. .x(o.)..3.o(x.).. ..(..)..&#x  &  0  3  3 0 |  0  0  3  6  0  0  3 |  0  0  1  0  3  3  0  0  0 1 |  *  *  * 32  *  *  * |  1 0 0  1
..(..).. .x(.o)..3.o(.o).. ..(..)..&#x  &  0  3  0 1 |  0  0  3  0  3  0  0 |  0  0  1  0  0  0  3  0  0 0 |  *  *  *  * 32  *  * |  0 1 0  1
..(..).. .x(oo)x. ..(..).. ..(..)..&#xr    0  4  1 1 |  0  0  2  4  4  2  0 |  0  0  0  0  2  0  2  2  2 0 |  *  *  *  *  * 24  * |  0 0 0  2 cycle(BCED)
..(..).. ..(..).. .o(x.)o. ..(..)..&#x     0  2  2 0 |  0  0  0  4  0  1  1 |  0  0  0  0  0  2  0  2  0 0 |  *  *  *  *  *  * 48 |  0 0 1  1
------------------------------------------+-----------+----------------------+------------------------------+----------------------+----------
ox(o.).. ox(o.)..3oo(x.).. ..(..)..&#xt &  1  6  3 0 |  6  3  6 12  0  0  3 |  3  6  2  6  6  6  0  0  0 1 |  3  2  3  2  0  0  0 | 16 * *  *
..(..).. ox(.o)..3oo(.o)..4oo(.o)..&#xt &  1  6  0 1 |  6  0 12  0  6  0  0 |  0 12  8  0  0  0 12  0  0 0 |  0  8  0  0  8  0  0 |  * 4 *  *
.x(o.)x. ..(..).. .o(x.)o.4.o(o.)o.&#xt    0  4  4 0 |  0  2  0 16  0  2  4 |  0  0  0  8  0 16  0  8  0 0 |  0  0  8  0  0  0  8 |  * * 6  *
..(..).. .x(oo)x.3.o(xo)o. ..(..)..&#xr    0  6  3 1 |  0  0  6 12  6  3  3 |  0  0  2  0  6  6  6  6  3 1 |  0  0  0  2  2  3  3 |  * * * 16 cycle(BCED)

ox(ou)xo oo(xo)oo3ox(oo)xo3oo(xo)oo&#xt   → all heights = 1/2
(pt || pseudo ope || pseudo tegum product of co and u-line || pseudo ope || pt)

o.(..).. o.(..)..3o.(..)..3o.(..)..     & | 2  *  * *  12  0  0  0  0  0  0  0 |  6 24  0  0  0  0  0  0  0  0  0 0 0 | 12  8  8  0  0  0  0  0  0  0  0  0 | 4 4 2 0 0 0
.o(..).. .o(..)..3.o(..)..3.o(..)..     & | * 24  * *   1  1  4  4  1  1  0  0 |  1  4  2  2  4  2  4  2  4  4  1 0 0 |  4  2  2  2  2  2  2  2  2  2  4  2 | 2 2 1 1 2 2
..(o.).. ..(o.)..3..(o.)..3..(o.)..       | *  * 12 *   0  0  0  8  0  0  2  2 |  0  0  0  0  4  8  4  8  0  4  0 1 1 |  2  0  0  4  4  4  4  0  0  4  2  4 | 2 2 0 2 2 2
..(.o).. ..(.o)..3..(.o)..3..(.o)..       | *  *  * 2   0  0  0  0 12  0  0  0 |  0  0  0  0  0  0  0  0 24  0  6 0 0 |  0  0  0  0  0  0  0  8  8  0 12  0 | 0 0 2 0 4 4
------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------
oo(..).. oo(..)..3oo(..)..3oo(..)..&#x  & | 1  1  0 0 | 24  *  *  *  *  *  *  *   1  4  0  0  0  0  0  0  0  0  0 0 0 |  4  2  2  0  0  0  0  0  0  0  0  0 | 2 2 1 0 0 0
.x(..).. ..(..).. ..(..).. ..(..)..     & | 0  2  0 0 |  * 12  *  *  *  *  *  *   1  0  0  0  4  0  0  0  0  0  0 0 0 |  4  0  0  2  2  0  0  0  0  0  0  0 | 2 2 0 1 0 0
..(..).. ..(..).. .x(..).. ..(..)..     & | 0  2  0 0 |  *  * 48  *  *  *  *  *   0  1  1  1  0  0  1  0  1  0  0 0 0 |  1  1  1  0  0  1  1  1  1  0  1  0 | 1 1 1 0 1 1
.o(o.).. .o(o.)..3.o(o.)..3.o(o.)..&#x  & | 0  1  1 0 |  *  *  * 96  *  *  *  *   0  0  0  0  1  1  1  1  0  1  0 0 0 |  1  0  0  1  1  1  1  0  0  1  1  1 | 1 1 0 1 1 1
.o(.o).. .o(.o)..3.o(.o)..3.o(.o)..&#x  & | 0  1  0 1 |  *  *  *  * 24  *  *  *   0  0  0  0  0  0  0  0  4  0  1 0 0 |  0  0  0  0  0  0  0  2  2  0  4  0 | 0 0 1 0 2 2
.o(..)o. .o(..)o.3.o(..)o.3.o(..)o.&#x    | 0  2  0 0 |  *  *  *  *  * 12  *  *   0  0  0  0  0  0  0  0  0  4  1 0 0 |  0  0  0  0  0  0  0  0  0  2  4  2 | 0 0 0 1 2 2
..(..).. ..(x.).. ..(..).. ..(..)..       | 0  0  2 0 |  *  *  *  *  *  * 12  *   0  0  0  0  0  4  0  0  0  0  0 1 0 |  0  0  0  2  0  4  0  0  0  2  0  0 | 2 0 0 1 2 0
..(..).. ..(..).. ..(..).. ..(x.)..       | 0  0  2 0 |  *  *  *  *  *  *  * 12   0  0  0  0  0  0  0  4  0  0  0 0 1 |  0  0  0  0  2  0  4  0  0  0  0  2 | 0 2 0 1 0 2
------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------
ox(..).. ..(..).. ..(..).. ..(..)..&#x  & | 1  2  0 0 |  2  1  0  0  0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  * * * |  4  0  0  0  0  0  0  0  0  0  0  0 | 2 2 0 0 0 0
..(..).. ..(..).. ox(..).. ..(..)..&#x  & | 1  2  0 0 |  2  0  1  0  0  0  0  0 |  * 48  *  *  *  *  *  *  *  *  * * * |  1  1  1  0  0  0  0  0  0  0  0  0 | 1 1 1 0 0 0
..(..).. .o(..)..3.x(..).. ..(..)..     & | 0  3  0 0 |  0  0  3  0  0  0  0  0 |  *  * 16  *  *  *  *  *  *  *  * * * |  0  1  0  0  0  1  0  1  0  0  0  0 | 1 0 1 0 1 0
..(..).. ..(..).. .x(..)..3.o(..)..     & | 0  3  0 0 |  0  0  3  0  0  0  0  0 |  *  *  * 16  *  *  *  *  *  *  * * * |  0  0  1  0  0  0  1  0  1  0  0  0 | 0 1 1 0 0 1
.x(o.).. ..(..).. ..(..).. ..(..)..&#x  & | 0  2  1 0 |  0  1  0  2  0  0  0  0 |  *  *  *  * 48  *  *  *  *  *  * * * |  1  0  0  1  1  0  0  0  0  0  0  0 | 1 1 0 1 0 0
..(..).. .o(x.).. ..(..).. ..(..)..&#x  & | 0  1  2 0 |  0  0  0  2  0  0  1  0 |  *  *  *  *  * 48  *  *  *  *  * * * |  0  0  0  1  0  1  0  0  0  1  0  0 | 1 0 0 1 1 0
..(..).. ..(..).. .x(o.).. ..(..)..&#x  & | 0  2  1 0 |  0  0  1  2  0  0  0  0 |  *  *  *  *  *  * 48  *  *  *  * * * |  1  0  0  0  0  1  1  0  0  0  1  0 | 1 1 0 0 1 1
..(..).. ..(..).. ..(..).. .o(x.)..&#x  & | 0  1  2 0 |  0  0  0  2  0  0  0  1 |  *  *  *  *  *  *  * 48  *  *  * * * |  0  0  0  0  1  0  1  0  0  0  0  1 | 0 1 0 1 0 1
..(..).. ..(..).. .x(.o).. ..(..)..&#x  & | 0  2  0 1 |  0  0  1  0  2  0  0  0 |  *  *  *  *  *  *  *  * 48  *  * * * |  0  0  0  0  0  0  0  1  1  0  1  0 | 0 0 1 0 1 1
.o(o.)o. .o(o.)o.3.o(o.)o.3.o(o.)o.&#x    | 0  2  1 0 |  0  0  0  2  0  1  0  0 |  *  *  *  *  *  *  *  *  * 48  * * * |  0  0  0  0  0  0  0  0  0  1  1  1 | 0 0 0 1 1 1
.o(.o)o. .o(.o)o.3.o(.o)o.3.o(.o)o.&#x    | 0  2  0 1 |  0  0  0  0  2  1  0  0 |  *  *  *  *  *  *  *  *  *  * 12 * * |  0  0  0  0  0  0  0  0  0  0  4  0 | 0 0 0 0 2 2
..(..).. ..(x.)..3..(o.).. ..(..)..       | 0  0  3 0 |  0  0  0  0  0  0  3  0 |  *  *  *  *  *  *  *  *  *  *  * 4 * |  0  0  0  0  0  4  0  0  0  0  0  0 | 2 0 0 0 2 0
..(..).. ..(..).. ..(o.)..3..(x.)..       | 0  0  3 0 |  0  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  * * 4 |  0  0  0  0  0  0  4  0  0  0  0  0 | 0 2 0 0 0 2
------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------
ox(o.).. ..(..).. ox(o.).. ..(..)..&#xt &  1  4  1 0 |  4  2  2  4  0  0  0  0 |  2  2  0  0  2  0  2  0  0  0  0 0 0 | 24  *  *  *  *  *  *  *  *  *  *  * | 1 1 0 0 0 0
..(..).. oo(..)..3ox(..).. ..(..)..&#x  &  1  3  0 0 |  3  0  3  0  0  0  0  0 |  0  3  1  0  0  0  0  0  0  0  0 0 0 |  * 16  *  *  *  *  *  *  *  *  *  * | 1 0 1 0 0 0
..(..).. ..(..).. ox(..)..3oo(..)..&#x  &  1  3  0 0 |  3  0  3  0  0  0  0  0 |  0  3  0  1  0  0  0  0  0  0  0 0 0 |  *  * 16  *  *  *  *  *  *  *  *  * | 0 1 1 0 0 0
.x(o.).. .o(x.).. ..(..).. ..(..)..&#x  &  0  2  2 0 |  0  1  0  4  0  0  1  0 |  0  0  0  0  2  2  0  0  0  0  0 0 0 |  *  *  * 24  *  *  *  *  *  *  *  * | 1 0 0 1 0 0
.x(o.).. ..(..).. ..(..).. .o(x.)..&#x  &  0  2  2 0 |  0  1  0  4  0  0  0  1 |  0  0  0  0  2  0  0  2  0  0  0 0 0 |  *  *  *  * 24  *  *  *  *  *  *  * | 0 1 0 1 0 0
..(..).. .o(x.)..3.x(o.).. ..(..)..&#x  &  0  3  3 0 |  0  0  3  6  0  0  3  0 |  0  0  1  0  0  3  3  0  0  0  0 1 0 |  *  *  *  *  * 16  *  *  *  *  *  * | 1 0 0 0 1 0
..(..).. ..(..).. .x(o.)..3.o(x.)..&#x  &  0  3  3 0 |  0  0  3  6  0  0  0  3 |  0  0  0  1  0  0  3  3  0  0  0 0 1 |  *  *  *  *  *  * 16  *  *  *  *  * | 0 1 0 0 0 1
..(..).. .o(.o)..3.x(.o).. ..(..)..&#x  &  0  3  0 1 |  0  0  3  0  3  0  0  0 |  0  0  1  0  0  0  0  0  3  0  0 0 0 |  *  *  *  *  *  *  * 16  *  *  *  * | 0 0 1 0 1 0
..(..).. ..(..).. .x(.o)..3.o(.o)..&#x  &  0  3  0 1 |  0  0  3  0  3  0  0  0 |  0  0  0  1  0  0  0  0  3  0  0 0 0 |  *  *  *  *  *  *  *  * 16  *  *  * | 0 0 1 0 0 1
..(..).. .o(x.)o. ..(..).. ..(..)..&#x     0  2  2 0 |  0  0  0  4  0  1  1  0 |  0  0  0  0  0  2  0  0  0  2  0 0 0 |  *  *  *  *  *  *  *  *  * 24  *  * | 0 0 0 1 1 0
..(..).. ..(..).. .x(oo)x. ..(..)..&#xr    0  4  1 1 |  0  0  2  4  4  2  0  0 |  0  0  0  0  0  0  2  0  2  2  2 0 0 |  *  *  *  *  *  *  *  *  *  * 24  * | 0 0 0 0 1 1 cycle(BCED)
..(..).. ..(..).. ..(..).. .o(x.)o.&#x     0  2  2 0 |  0  0  0  4  0  1  0  1 |  0  0  0  0  0  0  0  2  0  2  0 0 0 |  *  *  *  *  *  *  *  *  *  *  * 24 | 0 0 0 1 0 1
------------------------------------------+-----------+-------------------------+--------------------------------------+-------------------------------------+------------
ox(o.).. oo(x.)..3ox(o.).. ..(..)..&#xt &  1  6  3 0 |  6  3  6 12  0  0  3  0 |  3  6  2  0  6  6  6  0  0  0  0 1 0 |  3  2  0  3  0  2  0  0  0  0  0  0 | 8 * * * * *
ox(o.).. ..(..).. ox(o.)..3oo(x.)..&#xt &  1  6  3 0 |  6  3  6 12  0  0  0  3 |  3  6  0  2  6  0  6  6  0  0  0 0 1 |  3  0  2  0  3  0  2  0  0  0  0  0 | * 8 * * * *
..(..).. oo(.o)..3ox(.o)..3oo(.o)..&#xt &  1  6  0 1 |  6  0 12  0  6  0  0  0 |  0 12  4  4  0  0  0  0 12  0  0 0 0 |  0  4  4  0  0  0  0  4  4  0  0  0 | * * 4 * * *
.x(o.)x. .o(x.)o. ..(..).. .o(x.)o.&#xt    0  4  4 0 |  0  2  0 16  0  2  2  2 |  0  0  0  0  8  8  0  8  0  8  0 0 0 |  0  0  0  4  4  0  0  0  0  4  0  4 | * * * 6 * *
..(..).. .o(xo)o.3.x(oo)x. ..(..)..&#xr    0  6  3 1 |  0  0  6 12  6  3  3  0 |  0  0  2  0  0  6  6  0  6  6  3 1 0 |  0  0  0  0  0  2  0  2  0  3  3  0 | * * * * 8 * cycle(BCED)
..(..).. ..(..).. .x(oo)x.3.o(xo)o.&#xr    0  6  3 1 |  0  0  6 12  6  3  0  3 |  0  0  0  2  0  0  6  6  6  6  3 0 1 |  0  0  0  0  0  0  2  0  2  0  3  3 | * * * * * 8 cycle(BCED)

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