Acronym icau pretasto
Name icositetra-augmented pentagonorhombic-trisnub-trisoctachoron
 
 ©
Lace city
in approx. ASCII-art
                              x o         o x                              		x3o3o	(1)
                                                                           
                                                                           
                  o o               f f               o o                  		o3f3o	(2)
                                                                           
                     f x         F o   o F         x f                     		f3o3x	(3)
                                                                           
                                                                           
               o f         x F               F x         f o               		o3x3f	(4)
      o o                           F F                           o o      		o3F3o	(2)
                                                                           
         f x         u F         A x   x A         F u         x f         		f3x3x	(3)
                                                                           
                                                                           
               x F         o A               A o         F x               		x3o3F	(4)
                                                                           
x o                           A f         f A                           o x		x3F3o	(1)
         F o         A x                           x A         o F         		F3x3o	(3)
                                                                           
      f f         F F              xB Bx              F F         f f      		f3x3f	(2)
                                                                           
         o F         x A                           A x         F o         		o3x3F	(3)
o x                           f A         A f                           x o		o3F3x	(1)
                                                                           
               F x         A o               o A         x F               		F3o3x	(4)
                                                                           
                                                                           
         x f         F u         x A   A x         u F         f x         		x3x3f	(3)
                                                                           
      o o                           F F                           o o      		o3F3o	(2)
               f o         F x               x F         o f               		f3x3o	(4)
                                                                           
                                                                           
                     x f         o F   F o         f x                     		x3o3f	(3)
                                                                           
                  o o               f f               o o                  		o3f3o	(2)
                                                                           
                                                                           
                              o x         x o                              		o3o3x	(1)

where: F=f+x, A=f+2x, B=2f+x
(1) = o3o3x *b3F
(2) = o3f3o *b3x
(3) = x3o3f *b3x
(4) = f3x3o *b3o
Confer
uniform relative:
ex  
related CRFs:
bilbiro wedge   pretasto   Fxox3xoxf3oFxx *b3oxfo&#zx   fooo3xxoF3xfxo *b3oxFo&#zx   hidicau pretasto  
general polytopal classes:
expanded kaleido-facetings  

The relation to ex runs as follows: ex in demitessic subsymmetry can be given as ooxf3fooo3oxfo *b3ofox&#zx. That will be transformed into ooxf3foox3oxfo *b3ofo(-x)&#zx (faceting, same vertex set). Then a Stott expansion wrt. the last node produces this polychoron.

This polychoron can be obtained from pretasto as external blend with 24 bilbiro wedges. In fact this just adds the "layer" o3f3o *b3x (mentioned as (2) above) into its tegum sum.

The (4)th type of vertices (cf. below) show up (intersecting) pip-shaped vertex figures. At least 16 out of those 48 could be selected for an intersection-free diminishing. This then results in hidicau pretasto.


Incidence matrix according to Dynkin symbol

ooxf3foox3oxfo *b3xFxo&#zx   → all heights = 0 – except that of not existing lacing(2,4)

o...3o...3o... *b3o...     | 48  *  *  * |  1  2   4  2  0  0  0  0   0  0 |  1  2  4  2   4   4  0  0  0  0  0  0  0  0  0 |  2  2  2  4 0  0 0  0 0	(1)
.o..3.o..3.o.. *b3.o..     |  * 32  *  *   0  3   0  0  3  3  0  0   0  0 |  3  0  0  0   6   0  3  3  0  0  0  0  0  0  0 |  3  3  0  0 1  1 0  0 0	(2)
..o.3..o.3..o. *b3..o.     |  *  * 96  * |  0  0   2  0  0  1  2  2   2  0 |  0  2  2  0   2   2  0  2  1  1  2  1  2  0  0 |  1  2  2  2 0  1 1  1 0	(3)
...o3...o3...o *b3...o     |  *  *  * 48   0  0   0  2  0  0  0  0   4  4 |  0  0  0  1   0   4  0  0  0  0  0  4  2  2  2 |  2  0  0  2 0  0 0  2 1	(4)
---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------
.... .... ....    x...     |  2  0  0  0 | 24  *   *  *  *  *  *  *   *  * |  0  0  4  2   0   0  0  0  0  0  0  0  0  0  0 |  0  0  2  4 0  0 0  0 0
oo..3oo..3oo.. *b3oo..&#x  |  1  1  0  0 |  * 96   *  *  *  *  *  *   *  * |  1  0  0  0   2   0  0  0  0  0  0  0  0  0  0 |  2  1  0  0 0  0 0  0 0
o.o.3o.o.3o.o. *b3o.o.&#x  |  1  0  1  0 |  *  * 192  *  *  *  *  *   *  * |  0  1  1  0   1   1  0  0  0  0  0  0  0  0  0 |  1  1  1  1 0  0 0  0 0
o..o3o..o3o..o *b3o..o&#x  |  1  0  0  1 |  *  *   * 96  *  *  *  *   *  * |  0  0  0  1   0   2  0  0  0  0  0  0  0  0  0 |  1  0  0  2 0  0 0  0 0
.... .... .x..    ....     |  0  2  0  0 |  *  *   *  * 48  *  *  *   *  * |  1  0  0  0   0   0  2  0  0  0  0  0  0  0  0 |  2  0  0  0 1  0 0  0 0
.oo.3.oo.3.oo. *b3.oo.&#x  |  0  1  1  0 |  *  *   *  *  * 96  *  *   *  * |  0  0  0  0   2   0  0  2  0  0  0  0  0  0  0 |  1  2  0  0 0  1 0  0 0
..x. .... ....    ....     |  0  0  2  0 |  *  *   *  *  *  * 96  *   *  * |  0  1  0  0   0   0  0  1  1  0  1  0  0  0  0 |  0  1  1  0 0  1 1  0 0
.... .... ....    ..x.     |  0  0  2  0 |  *  *   *  *  *  *  * 96   *  * |  0  0  1  0   0   0  0  0  0  1  1  0  1  0  0 |  0  0  1  1 0  0 1  1 0
..oo3..oo3..oo *b3..oo&#x  |  0  0  1  1 |  *  *   *  *  *  *  *  * 192  * |  0  0  0  0   0   1  0  0  0  0  0  1  1  0  0 |  1  0  0  1 0  0 0  1 0
.... ...x ....    ....     |  0  0  0  2 |  *  *   *  *  *  *  *  *   * 96 |  0  0  0  0   0   0  0  0  0  0  0  1  0  1  1 |  1  0  0  0 0  0 0  1 1
---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------
.... .... ox..    ....&#x  |  1  2  0  0 |  0  2   0  0  1  0  0  0   0  0 | 48  *  *  *   *   *  *  *  *  *  *  *  *  *  * |  2  0  0  0 0  0 0  0 0
o.x. .... ....    ....&#x  |  1  0  2  0 |  0  0   2  0  0  0  1  0   0  0 |  * 96  *  *   *   *  *  *  *  *  *  *  *  *  * |  0  1  1  0 0  0 0  0 0
.... .... ....    x.x.&#x  |  2  0  2  0 |  1  0   2  0  0  0  0  1   0  0 |  *  * 96  *   *   *  *  *  *  *  *  *  *  *  * |  0  0  1  1 0  0 0  0 0
.... .... ....    x..o&#x  |  2  0  0  1 |  1  0   0  2  0  0  0  0   0  0 |  *  *  * 48   *   *  *  *  *  *  *  *  *  *  * |  0  0  0  2 0  0 0  0 0
ooo.3ooo.3ooo. *b3ooo.&#x  |  1  1  1  0 |  0  1   1  0  0  1  0  0   0  0 |  *  *  *  * 192   *  *  *  *  *  *  *  *  *  * |  1  1  0  0 0  0 0  0 0
o.oo3o.oo3o.oo *b3o.oo&#x  |  1  0  1  1 |  0  0   1  1  0  0  0  0   1  0 |  *  *  *  *   * 192  *  *  *  *  *  *  *  *  * |  1  0  0  1 0  0 0  0 0
.... .o..3.x..    ....     |  0  3  0  0 |  0  0   0  0  3  0  0  0   0  0 |  *  *  *  *   *   * 32  *  *  *  *  *  *  *  * |  1  0  0  0 1  0 0  0 0
.ox. .... ....    ....&#x  |  0  1  2  0 |  0  0   0  0  0  2  1  0   0  0 |  *  *  *  *   *   *  * 96  *  *  *  *  *  *  * |  0  1  0  0 0  1 0  0 0
..x.3..o. ....    ....     |  0  0  3  0 |  0  0   0  0  0  0  3  0   0  0 |  *  *  *  *   *   *  *  * 32  *  *  *  *  *  * |  0  0  0  0 0  1 1  0 0
.... ..o. .... *b3..x.     |  0  0  3  0 |  0  0   0  0  0  0  0  3   0  0 |  *  *  *  *   *   *  *  *  * 32  *  *  *  *  * |  0  0  0  0 0  0 1  1 0
..x. .... ....    ..x.     |  0  0  4  0 |  0  0   0  0  0  0  2  2   0  0 |  *  *  *  *   *   *  *  *  *  * 48  *  *  *  * |  0  0  1  0 0  0 1  0 0
.... ..ox ....    ....&#x  |  0  0  1  2 |  0  0   0  0  0  0  0  0   2  1 |  *  *  *  *   *   *  *  *  *  *  * 96  *  *  * |  1  0  0  0 0  0 0  1 0
.... .... ....    ..xo&#x  |  0  0  2  1 |  0  0   0  0  0  0  0  1   2  0 |  *  *  *  *   *   *  *  *  *  *  *  * 96  *  * |  0  0  0  1 0  0 0  1 0
.... ...x3...o    ....     |  0  0  0  3 |  0  0   0  0  0  0  0  0   0  3 |  *  *  *  *   *   *  *  *  *  *  *  *  * 32  * |  1  0  0  0 0  0 0  0 1
.... ...x3.... *b3...o     |  0  0  0  3 |  0  0   0  0  0  0  0  0   0  3 |  *  *  *  *   *   *  *  *  *  *  *  *  *  * 32 |  0  0  0  0 0  0 0  1 1
---------------------------+-------------+---------------------------------+------------------------------------------------+------------------------
.... foox3oxfo    ....&#zx   3  3  3  3 |  0  6   6  3  3  3  0  0   6  3 |  3  0  0  0   6   6  1  0  0  0  0  3  0  1  0 | 32  *  *  * *  * *  * *
oox. .... ....    ....&#x    1  1  2  0 |  0  1   2  0  0  2  1  0   0  0 |  0  1  0  0   2   0  0  1  0  0  0  0  0  0  0 |  * 96  *  * *  * *  * *
o.x. .... ....    x.x.&#x    2  0  4  0 |  1  0   4  0  0  0  2  2   0  0 |  0  2  2  0   0   0  0  0  0  0  1  0  0  0  0 |  *  * 48  * *  * *  * *
.... .... ....    x.xo&#x    2  0  2  1 |  1  0   2  2  0  0  0  1   2  0 |  0  0  1  1   0   2  0  0  0  0  0  0  1  0  0 |  *  *  * 96 *  * *  * *
.o..3.o..3.x..    ....       0  4  0  0 |  0  0   0  0  6  0  0  0   0  0 |  0  0  0  0   0   0  4  0  0  0  0  0  0  0  0 |  *  *  *  * 8  * *  * *
.ox.3.oo. ....    ....&#x    0  1  3  0 |  0  0   0  0  0  3  3  0   0  0 |  0  0  0  0   0   0  0  3  1  0  0  0  0  0  0 |  *  *  *  * * 32 *  * *
..x.3..o. .... *b3..x.       0  0 12  0 |  0  0   0  0  0  0 12 12   0  0 |  0  0  0  0   0   0  0  0  4  4  6  0  0  0  0 |  *  *  *  * *  * 8  * *
.... ..ox .... *b3..xo&#x    0  0  3  3 |  0  0   0  0  0  0  0  3   6  3 |  0  0  0  0   0   0  0  0  0  1  0  3  3  0  1 |  *  *  *  * *  * * 32 *
.... ...x3...o *b3...o       0  0  0  6 |  0  0   0  0  0  0  0  0   0 12 |  0  0  0  0   0   0  0  0  0  0  0  0  0  4  4 |  *  *  *  * *  * *  * 8

xofoofxxFfooFxofxoo 3 ofoxFxoFxxxFoxFxofo 3 ooxfoxFoofFxxfoofox &#xt   → height(1,2) = height(3,4) = height(6,7) = height(13,14) = height(16,17) = height(18,19) = 1/sqrt(8) = 0.353553
                                                                         height(2,3) = height(5,6) = height(7,8) = height(9,10) = height(10,11) = height(12,13) = height(14,15) = height(17,18) = sqrt[3-sqrt(5)]/4 = 0.218508
                                                                         height(4,5) = height(8,9) = height(11,12) = height(15,16) = sqrt[7-3 sqrt(5)]/4 = 0.135045

o.................. 3 o.................. 3 o..................      & | 8  *  *  *  *  *  *  *  *  *   3  3  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 3  3  6  3  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 1  3 3 1  0  0  0 0  0 0  0  0  0  0  0 0  0 0
.o................. 3 .o................. 3 .o.................      & | * 12  *  *  *  *  *  *  *  * |  0  2  0  4  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  1  4  0  2  4  4  2  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  2 2 0  2  4  0 0  0 0  0  0  0  0  0 0  0 0
..o................ 3 ..o................ 3 ..o................      & | *  * 24  *  *  *  *  *  *  * |  0  0  1  2  0  0  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  0  2  2  2  2  2  0  1 1  2  1  2 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  2 1 1  2  2  1 1  0 0  0  0  0  0  0 0  0 0
...o............... 3 ...o............... 3 ...o...............      & | *  *  * 24  *  *  *  *  *  *   0  0  0  0  1  0  0  2  0  2  1  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  0  0  0  0  2  0  1  2 0  2  0  0 1  2  2  1  2  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 1 0  0  2  2 0  1 1  0  0  0  0  0 0  0 0
....o.............. 3 ....o.............. 3 ....o..............      & | *  *  *  * 12  *  *  *  *  * |  0  0  0  0  0  1  0  0  0  0  2  0  0  4  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  0  0  0  0  0  4  2  0 0  0  0  0 0  4  0  0  0  2  4  1  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  2  4  0 0  2 0  2  0  0  0  0 0  0 0
.....o............. 3 .....o............. 3 .....o.............      & | *  *  *  *  * 48  *  *  *  * |  0  0  0  0  0  0  0  0  1  0  0  1  0  1  0  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0 | 0  0  0  0  0  0  1  0  0 0  1  1  1 0  1  1  0  0  1  1  0  1  1  1  1  1  1  1  1  1 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  1  1  1 1  1 0  1  1  1  1  1 0  0 0
......o............ 3 ......o............ 3 ......o............      & | *  *  *  *  *  * 24  *  *  *   0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  0  0  0  0  0  0  0 | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  2  2  1  0  0  0  1  2  0  0  0  0  0  0  0 1  1  2  1  2  0  0  0 0  0 | 0  0 0 0  0  0  1 0  2 1  0  1  0  0  0 1  1 0
.......o........... 3 .......o........... 3 .......o...........      & | *  *  *  *  *  *  * 24  *  *   0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  0  0  2  0  0  0  0  0  1  1  2  2  0  0  0 | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  2  1  0  0  1  2  2  0  0  0  0 0  0  0  0  0  2  2  3 0  0 | 0  0 0 0  0  0  0 0  3 0  1  0  1  2  0 0  0 1
........o.......... 3 ........o.......... 3 ........o..........      & | *  *  *  *  *  *  *  * 24  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  1  0  0  2  2  0 | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  2  0  2  1  2  0 0  0  1  2  2  2  0  0 1  2 | 0  0 0 0  0  0  0 1  1 0  0  0  1  2  2 1  2 0
.........o......... 3 .........o......... 3 .........o.........        | *  *  *  *  *  *  *  *  * 24 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  0  0  0  2  0  0  2  1 | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  2  2 0  2  0  0  2  2  1  0 0  2 | 0  0 0 0  0  0  0 0  2 0  0  2  0  2  2 0  2 0
-----------------------------------------------------------------------+------------------------------+----------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------+-----------------------------------------------
x..................   ...................   ...................      & | 2  0  0  0  0  0  0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 2  1  0  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 1  0 2 0  0  0  0 0  0 0  0  0  0  0  0 0  0 0
oo................. 3 oo................. 3 oo................. &#x  & | 1  1  0  0  0  0  0  0  0  0 |  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  2  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  1 2 0  0  0  0 0  0 0  0  0  0  0  0 0  0 0
o.o................ 3 o.o................ 3 o.o................ &#x  & | 1  0  1  0  0  0  0  0  0  0 |  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  2  2  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  2 1 1  0  0  0 0  0 0  0  0  0  0  0 0  0 0
.oo................ 3 .oo................ 3 .oo................ &#x  & | 0  1  1  0  0  0  0  0  0  0 |  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  1  1  1  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  1 1 0  1  1  0 0  0 0  0  0  0  0  0 0  0 0
.o.o............... 3 .o.o............... 3 .o.o............... &#x  & | 0  1  0  1  0  0  0  0  0  0 |  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  2  0  1  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 1 0  0  2  0 0  0 0  0  0  0  0  0 0  0 0
.o..o.............. 3 .o..o.............. 3 .o..o.............. &#x  & | 0  1  0  0  1  0  0  0  0  0 |  *  *  *  *  * 12  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  4  2  0 0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  2  4  0 0  0 0  0  0  0  0  0 0  0 0
...................   ...................   ..x................      & | 0  0  2  0  0  0  0  0  0  0 |  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  1  0  0  0  0 1  0  0  1 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  1 0 1  1  0  0 1  0 0  0  0  0  0  0 0  0 0
..oo............... 3 ..oo............... 3 ..oo............... &#x  & | 0  0  1  1  0  0  0  0  0  0 |  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  0  1 0  1  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 1 0  0  1  1 0  0 0  0  0  0  0  0 0  0 0
..o..o............. 3 ..o..o............. 3 ..o..o............. &#x  & | 0  0  1  0  0  1  0  0  0  0 |  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  1  0  0 0  1  1  1 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  1  1  1 1  0 0  0  0  0  0  0 0  0 0
...................   ...x...............   ...................      & | 0  0  0  2  0  0  0  0  0  0 |  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  1 0  0  0  0 1  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 1 0  0  0  1 0  0 1  0  0  0  0  0 0  0 0
...oo.............. 3 ...oo.............. 3 ...oo.............. &#x  & | 0  0  0  1  1  0  0  0  0  0 |  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  1  0 0  0  0  0 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  2  0 0  1 0  0  0  0  0  0 0  0 0
...o.o............. 3 ...o.o............. 3 ...o.o............. &#x  & | 0  0  0  1  0  1  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  1  0  0 0  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  1  1 0  1 0  0  0  0  0  0 0  0 0
...o..o............ 3 ...o..o............ 3 ...o..o............ &#x  & | 0  0  0  1  0  0  1  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  0  1 0  1 1  0  0  0  0  0 0  0 0
....oo............. 3 ....oo............. 3 ....oo............. &#x  & | 0  0  0  0  1  1  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  1  0  0 0  0  0  0 0  1  0  0  0  1  1  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  1  1  0 0  1 0  1  0  0  0  0 0  0 0
....o..o........... 3 ....o..o........... 3 ....o..o........... &#x  & | 0  0  0  0  1  0  0  1  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  2  1  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  0  0 0  2 0  1  0  0  0  0 0  0 0
...................   .....x.............   ...................      & | 0  0  0  0  0  2  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  0  1  0 0  0  0  0  0  0  0  0  1  0  0  0  0  1  0  0  1 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  0  1 1  0 0  0  1  0  0  1 0  0 0
...................   ...................   .....x.............      & | 0  0  0  0  0  2  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0  1 0  0  0  0  0  1  0  0  0  0  1  0  0  0  1  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  1  0  0 1  0 0  1  0  1  0  0 0  0 0
.....oo............ 3 .....oo............ 3 .....oo............ &#x  & | 0  0  0  0  0  1  1  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  1  0  0  0  0  0  1  1  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  0  1 0  1 0  0  1  0  0  0 0  0 0
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.....o...o......... 3 .....o...o......... 3 .....o...o......... &#x  & | 0  0  0  0  0  1  0  0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  1  0  0  1  0  0  1  1 0  0  0  0  0  0  0  0 0  0 | 0  0 0 0  0  0  0 0  1 0  0  1  0  1  1 0  0 0
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x.................. 3 o..................   ...................      & | 3  0  0  0  0  0  0  0  0  0 |  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 8  *  *  *  *  *  *  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 1  0 1 0  0  0  0 0  0 0  0  0  0  0  0 0  0 0
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ooo................ 3 ooo................ 3 ooo................ &#x  & | 1  1  1  0  0  0  0  0  0  0 |  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | *  * 48  *  *  *  *  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0  1 1 0  0  0  0 0  0 0  0  0  0  0  0 0  0 0
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