Acronym telex
Name vertex first tele-elongated hexacosachoron
Lace city
in approx. ASCII-art
                    o2o         o2o                    
                                                       
          o2x       x2f   f2o   x2f       o2x          
                                                       
                                                       
    x2o   f2f       F2x   o2F   F2x       f2f   x2o    
                                                       
    o2f   F2o       f2F         f2F       F2o   o2f    
                                                       
                                                       
o2o f2x   x2F      Vo2oV  F2f  Vo2oV      x2F   f2x o2o
                                                       
                                                       
    o2f   F2o       f2F         f2F       F2o   o2f    
                                                       
    x2o   f2f       F2x   o2F   F2x       f2f   x2o    
                                                       
                                                       
          o2x       x2f   f2o   x2f       o2x          
                                                       
                    o2o         o2o                    
                    x2o                    
                                           
          x2x F2o   o2f   F2o x2x          
                                           	where
                                           	B = 2f+x = fff
    o2o   F2f x2F   A2x   x2F F2f   o2o    	A = f+2x
                                           	V = 2f
    x2f   A2o       F2F       A2o   x2f    	F = f+x = ff
                                           
                                           
x2o F2x   o2F A2f  Bx2oV  A2f o2F   F2x x2o
                                           
                                           
    x2f   A2o       F2F       A2o   x2f    
                                           
    o2o   F2f x2F   A2x   x2F F2f   o2o    
                                           
                                           
          x2x F2o   o2f   F2o x2x          
                                           
                    x2o                    
Confer
uniform relative:
ex  
related segmentochora:
ikepy   ike || doe   doe || id  
related CRFs:
oofoo3oxoxo5xooox&#xt   ofo3xox5ooo&#xt   bilbiro wedge   oFxxFffFof2xoFfxFofFf2FxoFfxFoff2FFFxxxoooF&#zx  
general polytopal classes:
expanded kaleido-facetings  

This polychoron is obtained from ex = oxofofoxo-3-ooooxoooo-5-ooxoooxoo-&#xt = VFfxo-2-oxofo-3-oooox-5-ooxoo-&#zx. There an edge flip is applied to the first node of the 4th layer, providing the vertex coincident faceting VFf(-x)o-2-oxofo-3-oooox-5-ooxoo-&#zx. Then a partial (here: axial) Stott expansion wrt. the first node each yields this polychoron: BAFox-2-oxofo-3-oooox-5-ooxoo-&#zx = oxoofooxo-3-oooxoxooo-5-ooxoooxoo-&#xt. (B = 2f+x = fff, A = f+2x, V = 2f, F = f+x = ff)

In fact, the upper lace city picture displays what is being done here. One starts with the lace city of ex. But instead of a normal elongation, i.e cutting ex into 2 halves and putting prisms in between, here kind a telescopical elongation (tele-elongation for short) is being applied. The layers, neighbouring to the equatorial one, each remain attached to the opposite half! The pull then is applied until those formerly different layers become coincident. This is what is meant by first getting some edges (x) inversed ((-x)): asignment to the opposite half, and then applying the Stott expansion to that. Here the operation "x +" results in x + (-x) = o. Tele-elongation therefore is nothing but the axial subcase of the more general kaleido expansion (cf. expanded kaleido-facetings).

This polychoron not only allows several interesting diminishings according to the below provided vertex figures with sections being ike, gyepip, teddi, or pip. The uppermost edge of the displayed lace cities too can be chopped off completely, then providing a bilbiro section. In fact, that cutted off first segment is nothing but the bilbiro wedge.


Incidence matrix according to Dynkin symbol

oxoofooxo3oooxoxooo5ooxoooxoo&#xt   → height(1,2) = height(8,9) = (sqrt(5)-1)/4 = 0.309017
                                      height(2,3) = height(4,5) = height(5,6) = height(7,8) = 1/2
                                      height(3,4) = height(6,7) = (1+sqrt(5))/4 = 0.809017
(pt || pseudo ike || pseudo doe || pseudo id || pseudo f-ike || pseudo id || pseudo doe || pseudo ike || pt)

o........3o........5o........     & | 2  *  *  *  *  12  0   0  0   0   0   0  0 | 30  0   0   0   0  0  0   0  0  0 | 20  0  0  0  0  0  0
.o.......3.o.......5.o.......     & | * 24  *  *  *   1  5   5  0   0   0   0  0 |  5  5  10   5   0  0  0   0  0  0 |  5  5  5  1  0  0  0
..o......3..o......5..o......     & | *  * 40  *  *   0  0   3  3   3   0   0  0 |  0  0   3   6   3  3  0   0  0  0 |  0  1  3  3  1  0  0
...o.....3...o.....5...o.....     & | *  *  * 60  * |  0  0   0  0   2   4   2  1 |  0  0   0   0   4  1  2   4  4  2 |  0  0  0  2  2  2  4
....o....3....o....5....o....       | *  *  *  * 12   0  0   0  0   0   0  10  0 |  0  0   0   0   0  0  0  10  0  5 |  0  0  0  2  0  0  5
------------------------------------+---------------+-----------------------------+-----------------------------------+---------------------
oo.......3oo.......5oo.......&#x  & | 1  1  0  0  0 | 24  *   *  *   *   *   *  * |  5  0   0   0   0  0  0   0  0  0 |  5  0  0  0  0  0  0
.x....... ......... .........     & | 0  2  0  0  0 |  * 60   *  *   *   *   *  * |  1  2   2   0   0  0  0   0  0  0 |  2  2  1  0  0  0  0
.oo......3.oo......5.oo......&#x  & | 0  1  1  0  0 |  *  * 120  *   *   *   *  * |  0  0   2   2   0  0  0   0  0  0 |  0  1  2  1  0  0  0
......... ......... ..x......     & | 0  0  2  0  0 |  *  *   * 60   *   *   *  * |  0  0   0   2   0  1  0   0  0  0 |  0  0  1  2  0  0  0
..oo.....3..oo.....5..oo.....&#x  & | 0  0  1  1  0 |  *  *   *  * 120   *   *  * |  0  0   0   0   2  1  0   0  0  0 |  0  0  0  2  1  0  0
......... ...x..... .........     & | 0  0  0  2  0 |  *  *   *  *   * 120   *  * |  0  0   0   0   1  0  1   1  1  0 |  0  0  0  1  1  1  1
...oo....3...oo....5...oo....&#x  & | 0  0  0  1  1 |  *  *   *  *   *   * 120  * |  0  0   0   0   0  0  0   2  0  1 |  0  0  0  1  0  0  2
...o.o...3...o.o...5...o.o...&#x    | 0  0  0  2  0 |  *  *   *  *   *   *   * 30 |  0  0   0   0   0  0  0   0  4  2 |  0  0  0  0  0  2  4
------------------------------------+---------------+-----------------------------+-----------------------------------+---------------------
ox....... ......... .........&#x  & | 1  2  0  0  0 |  2  1   0  0   0   0   0  0 | 60  *   *   *   *  *  *   *  *  * |  2  0  0  0  0  0  0
.x.......3.o....... .........     & | 0  3  0  0  0 |  0  3   0  0   0   0   0  0 |  * 40   *   *   *  *  *   *  *  * |  1  1  0  0  0  0  0
.xo...... ......... .........&#x  & | 0  2  1  0  0 |  0  1   2  0   0   0   0  0 |  *  * 120   *   *  *  *   *  *  * |  0  1  1  0  0  0  0
......... ......... .ox......&#x  & | 0  1  2  0  0 |  0  0   2  1   0   0   0  0 |  *  *   * 120   *  *  *   *  *  * |  0  0  1  1  0  0  0
......... ..ox..... .........&#x  & | 0  0  1  2  0 |  0  0   0  0   2   1   0  0 |  *  *   *   * 120  *  *   *  *  * |  0  0  0  1  1  0  0
......... ......... ..xo.....&#x  & | 0  0  2  1  0 |  0  0   0  1   2   0   0  0 |  *  *   *   *   * 60  *   *  *  * |  0  0  0  2  0  0  0
...o.....3...x..... .........     & | 0  0  0  3  0 |  0  0   0  0   0   3   0  0 |  *  *   *   *   *  * 40   *  *  * |  0  0  0  0  1  1  0
......... ...xo.... .........&#x  & | 0  0  0  2  1 |  0  0   0  0   0   1   2  0 |  *  *   *   *   *  *  * 120  *  * |  0  0  0  1  0  0  1
......... ...x.x... .........&#x    | 0  0  0  4  0 |  0  0   0  0   0   2   0  2 |  *  *   *   *   *  *  *   * 60  * |  0  0  0  0  0  1  1
...ooo...3...ooo...5...ooo...&#x    | 0  0  0  2  1 |  0  0   0  0   0   0   2  1 |  *  *   *   *   *  *  *   *  * 60 |  0  0  0  0  0  0  2
------------------------------------+---------------+-----------------------------+-----------------------------------+---------------------
ox.......3oo....... .........&#x  &  1  3  0  0  0 |  3  3   0  0   0   0   0  0 |  3  1   0   0   0  0  0   0  0  0 | 40  *  *  *  *  *  *
.xo......3.oo...... .........&#x  &  0  3  1  0  0 |  0  3   3  0   0   0   0  0 |  0  1   3   0   0  0  0   0  0  0 |  * 40  *  *  *  *  *
.xo...... ......... .ox......&#x  &  0  2  2  0  0 |  0  1   4  1   0   0   0  0 |  0  0   2   2   0  0  0   0  0  0 |  *  * 60  *  *  *  *
......... .ooxo....5.oxoo....&#x  &  0  1  5  5  1 |  0  0   5  5  10   5   5  0 |  0  0   0   5   5  5  0   5  0  0 |  *  *  * 24  *  *  *
..oo.....3..ox..... .........&#x  &  0  0  1  3  0 |  0  0   0  0   3   3   0  0 |  0  0   0   0   3  0  1   0  0  0 |  *  *  *  * 40  *  *
...o.o...3...x.x... .........&#x     0  0  0  6  0 |  0  0   0  0   0   6   0  3 |  0  0   0   0   0  0  2   0  3  0 |  *  *  *  *  * 20  *
......... ...xox... .........&#x     0  0  0  4  1 |  0  0   0  0   0   2   4  2 |  0  0   0   0   0  0  0   2  1  2 |  *  *  *  *  *  * 60

xxxoooFFFAAABxxxF FxfoFfxFofxooVoof xfFFfoFoxxofooVof fFxfoFoxFofxoooVf&#zx   → all existing heights = 0

o................ o................ o................ o................     | 16  *  * * * * * * * * * * * * * *  * | 1 1  1  1  1  1  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  0  0 0  0 0  0 0  0 0 0  0 0 0 0 | 1 1  1  1  1 1  1  1 1  1 1 1 1  1  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  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 1 1 1 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
.o............... .o............... .o............... .o...............     |  * 16  * * * * * * * * * * * * * *  * | 0 0  1  0  0  0  0  0  0 1 1  1  1  1  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 0 0  0 0 0 0 | 0 1  1  1  1 0  0  0 0  0 0 0 0  0  0 0 0 1 1  1  1 1 1 1  1 1  1  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  0 0  0  0 0 0  0  0 0 0 | 1  1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
..o.............. ..o.............. ..o.............. ..o..............     |  *  * 16 * * * * * * * * * * * * *  * | 0 0  0  1  0  0  0  0  0 0 0  1  0  0  0  0  0 1 1  1  1  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 0  1  0  0 1  1  1 0  0 0 0 0  0  0 0 0 0 1  1  1 0 0 0  0 0  0  0 0 0 1 1  1 1 1 1  1  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 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0  0 0 0 0  0 0 0  0 0  0  0 0 0
...o............. ...o............. ...o............. ...o.............     |  *  *  * 4 * * * * * * * * * * * *  *  0 0  0  0  0  0  0  0  0 0 0  0  4  0  0  0  0 0 0  4  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 0 0 | 0 0  0  0  0 0  0  0 0  0 0 0 0  0  0 0 0 0 0  4  0 2 2 0  0 0  0  0 0 0 0 2  4 0 0 0  0  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 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 2 0 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
....o............ ....o............ ....o............ ....o............     |  *  *  * * 4 * * * * * * * * * * *  *  0 0  0  0  4  0  0  0  0 0 0  0  0  0  0  0  0 0 0  0  4  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 0 | 0 0  0  0  0 0  4  0 2  4 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  0  0 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  0  0 0 0  0  0 0 0 | 0  0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
.....o........... .....o........... .....o........... .....o...........     |  *  *  * * * 4 * * * * * * * * * *  *  0 0  0  0  0  4  0  0  0 0 0  0  0  4  0  0  0 0 0  0  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 | 0 0  0  4  0 0  0  0 0  0 2 2 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  0 0 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  0 0 0  0  0 0 0 | 0  0 2 2 0 0 0 1 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
......o.......... ......o.......... ......o.......... ......o..........     |  *  *  * * * * 8 * * * * * * * * *  *  0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0 0 0  0  0  2  0  0 0 0 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  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  2 0 0 0 0 0  2  2 2 1  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 1 0 0 0 0 0 2 0 0 0 0 0 0 1 0 1  2 1 0 0  0 0 0  0 0  0  0 0 0
.......o......... .......o......... .......o......... .......o.........     |  *  *  * * * * * 8 * * * * * * * *  *  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 1  2 1 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 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 0 0 0 0 0  0  0 0 0  0 0 1 2  2  2  2 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0  0 0 1 1  2 0 0  0 0  0  0 0 0
........o........ ........o........ ........o........ ........o........     |  *  *  * * * * * * 8 * * * * * * *  *  0 0  0  0  0  0  0  0  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 1  2 1 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 0  0 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  0  0  0 0 1 2  2  2  2 1 0  0  0  0 0  0  0 0 0  0  0 0 0 | 0  0 0 2 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0  0 0 0 0  0 1 1  2 0  0  0 0 0
.........o....... .........o....... .........o....... .........o.......     |  *  *  * * * * * * * 8 * * * * * *  *  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  0 0  2 0 0  0 0  0 0 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  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 0  0 0 2 1  2  2  0 0 0 0  0  0  0 0 2  2  2  2 1  2  2 1 0  0  0 0 0 | 0  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1  2 0 1 2  2 0 0  0 2  2  2 1 0
..........o...... ..........o...... ..........o...... ..........o......     |  *  *  * * * * * * * * 8 * * * * *  *  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 0  2 0 0  0 0  2  0 0  0 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 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  2 0 2 1  2  2  0 0 1  2  2  2 0  0  0 0 2  2  2 1 0 | 0  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 1  2 1 2  2 1  2  2 0 2
...........o..... ...........o..... ...........o..... ...........o.....     |  *  *  * * * * * * * * * 8 * * * *  *  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 0  0 0 0  0 0  0 1 0  0 0  0  2 0  0 0  2 0  0 1 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 0  0  0 0 0 0 0 0  2  0 1 2  2 0 0 0  0  0  0 0 0 0  2  0  2 0 0  2  0  0 2  2  2 0 1  2  2 0 1 | 0  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2  2 1 0 0  0 0 1  2 0  2  2 2 1
............o.... ............o.... ............o.... ............o....     |  *  *  * * * * * * * * * * 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  0 0 0  0 0  0  0 4  0 0  0 4  0 0 4  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 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  0 0  8  0 2 0  8  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 4  8  0 4 4
.............o... .............o... .............o... .............o...     |  *  *  * * * * * * * * * * * 4 * *  * | 0 0  0  0  0  0  0  4  0 0 0  0  0  0  0  0  0 0 0  0  0  0  0  0 0 2 0 0 0  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 1 0 0 | 0 0  0  0  0 0  0  0 0  4 0 0 0  4  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 2 0  0  0 0 0  0 0 0 0  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 2 4 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
..............o.. ..............o.. ..............o.. ..............o..     |  *  *  * * * * * * * * * * * * 4 *  * | 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0 0 0  0  0  0  4  0 2 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 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  4 0 0 0  4  0 4 2 2 0 0  0  0 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 0 | 0  0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 4 0 2 2 0  0 0 0 0  0 0 0  0 0  0  0 0 0
...............o. ...............o. ...............o. ...............o.     |  *  *  * * * * * * * * * * * * * 4  * | 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  4  0 0 0  0  0  0  0  0 0 0 2 0 0  0 0  0 0  0 0 0  0 0  0 0 2  0 0  0  0 0  0 0  0 0  0 0 0  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  4 0  4  0 4 2 0 0  0 0 0 0  0  0 0 0 0 0 2  0  0 0 0  0 0 0 0  0  0  0 0 0 0  0  0  0 1 0  0  0  0 0  0  0 0 0  0  0 0 0 | 0  0 0 2 0 0 0 0 0 0 0 0 0 4 2 2 0 0 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
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o...o............ o...o............ o...o............ o...o............&#x  |  1  0  0 0 1 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  * 16  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  0 0  1  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 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 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
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o............o... o............o... o............o... o............o...&#x  |  1  0  0 0 0 0 0 0 0 0 0 0 0 1 0 0  0 | * *  *  *  *  *  * 16  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  0 0  0  0 0  1 0 0 0  1  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 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 0 0 0  0 0 0  0 0  0  0 0 0
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.x............... ................. ................. .................     |  0  2  0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * 8 *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 1  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 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  0 0 0  0  0 0 0 | 1  0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
................. .x............... ................. .................     |  0  2  0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * 8  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  0 0  0  0 0  0 0 0 0  0  0 0 0 1 0  0  0 0 1 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 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  0 0  0  0 0 0
.oo.............. .oo.............. .oo.............. .oo..............&#x  |  0  1  1 0 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * * 16  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  1  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 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 0 0 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
.o.o............. .o.o............. .o.o............. .o.o.............&#x  |  0  1  0 1 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  * 16  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 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 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 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
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.o......o........ .o......o........ .o......o........ .o......o........&#x  |  0  1  0 0 0 0 0 0 1 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  * 16  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 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 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  0  0 0 0  0  0 0 0 | 0  0 0 1 0 0 0 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
.o.............o. .o.............o. .o.............o. .o.............o.&#x  |  0  1  0 0 0 0 0 0 0 0 0 0 0 0 0 1  0 | * *  *  *  *  *  *  *  * * *  *  *  *  * 16  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 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  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  0 0 0  0  0  0 0  0  0 0 0  0  0 0 0 | 0  0 0 1 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
.o..............o .o..............o .o..............o .o..............o&#x  |  0  1  0 0 0 0 0 0 0 0 0 0 0 0 0 0  1 | * *  *  *  *  *  *  *  * * *  *  *  *  *  * 16 * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  1 0  0  0 0  0 0 0 0  0  0 0 0 0 0  0  1 0 0 0  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  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 0 0 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
..x.............. ................. ................. .................     |  0  0  2 0 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * 8 *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  0 1  0  0 0  0 0 0 0  0  0 0 0 0 1  0  0 0 0 0  0 0  0  0 0 0 1 1  0 1 0 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  0  0 0  0  0 0 0  0  0 0 0 | 1  0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0  0 0 0 0  0 0 0  0 0  0  0 0 0
................. ................. ................. ..x..............     |  0  0  2 0 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * 8  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 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 0 1 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  0 0  0  0 0 0  0  0 0 0 | 0  0 0 0 0 1 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
..oo............. ..oo............. ..oo............. ..oo.............&#x  |  0  0  1 1 0 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * * 16  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  0 0  0  0 0  0 0 0 0  0  0 0 0 0 0  1  0 0 0 0  0 0  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 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 0 0 0 1 0 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
..o.o............ ..o.o............ ..o.o............ ..o.o............&#x  |  0  0  1 0 1 0 0 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  * 16  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  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 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  0 0  0  0 0 0  0  0 0 0 | 0  0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
..o...o.......... ..o...o.......... ..o...o.......... ..o...o..........&#x  |  0  0  1 0 0 0 1 0 0 0 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  * 16  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 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  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 0 0 | 0  0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0  0 0 0 0  0 0 0  0 0  0  0 0 0
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.......o........o .......o........o .......o........o .......o........o&#x  |  0  0  0 0 0 0 0 1 0 0 0 0 0 0 0 0  1 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * * 16 *  * * *  * *  *  * *  * *  * *  * * *  * * * * | 0 0  0  0  0 0  0  0 0  0 0 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 0 0 0 0  0  0 0 0  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 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 0  1 0 0  0 0  0  0 0 0
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........o.......o ........o.......o ........o.......o ........o.......o&#x  |  0  0  0 0 0 0 0 0 1 0 0 0 0 0 0 0  1 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * * 16 *  *  * *  * *  * *  * * *  * * * * | 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 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 0  0  0  0 0  0  0 0 0  0  0 0 0 | 0  0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0  0 0 0 0  0 0 0  1 0  0  0 0 0
................. ................. .........x....... .................     |  0  0  0 0 0 0 0 0 0 2 0 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * 4  *  * *  * *  * *  * * *  * * * * | 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 0 0 0 0 0  0  0 0 0  0 0 2 0  0  0  0 0 0 0  0  0  0 0 2  0  0  0 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 0 0  0 0 1 2  0 0 0  0 2  0  0 0 0
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.........o.o..... .........o.o..... .........o.o..... .........o.o.....&#x  |  0  0  0 0 0 0 0 0 0 1 0 1 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  * 16 *  * *  * *  * * *  * * * * | 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 0 0 0 0 0  1  0 0 0  0 0 0 0  0  0  0 0 0 0  0  0  0 0 0  1  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 1  1 0 0 0  0 0 0  0 0  1  1 1 0
.........o..o.... .........o..o.... .........o..o.... .........o..o....&#x  |  0  0  0 0 0 0 0 0 0 1 0 0 1 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * 8  * *  * *  * * *  * * * * | 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 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  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 2  2  0 1 0
.........o......o .........o......o .........o......o .........o......o&#x  |  0  0  0 0 0 0 0 0 0 1 0 0 0 0 0 0  1 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * * 16 *  * *  * * *  * * * * | 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 0 0 0 0 0  0  1 0 0  0 0 0 0  0  1  0 0 0 0  0  0  0 0 0  0  0  1 0  0  1 0 0  0  0 0 0 | 0  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  1 0 0 0  1 0 0  0 0  0  1 0 0
................. ..........x...... ................. .................     |  0  0  0 0 0 0 0 0 0 0 2 0 0 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * 4  * *  * * *  * * * * | 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 0 0 0 0 0  0  0 0 0  0 0 0 0  0  0  0 0 2 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 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 2
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..........o.o.... ..........o.o.... ..........o.o.... ..........o.o....&#x  |  0  0  0 0 0 0 0 0 0 0 1 0 1 0 0 0  0 | * *  *  *  *  *  *  *  * * *  *  *  *  *  *  * * *  *  *  *  *  * * * * * *  * *  * *  * * *  * *  * * *  * *  *  * *  * *  * 8  * * *  * * * * | 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 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  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 1  2  0 0 2
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