| Acronym | ... |
| Name | ((FAxoFFxxox3foFFxofxxo xoxFxFoAxF3oxxofxFoFf))&#zx |
|
Lace city in approx. ASCII-art |
x3o
J
x3x F3o o3x
H F I
x3o F3o o3F F3x x3f o3x
D E G
x3F F3x
C x3o
o3x F3x x3F F3f A3o x3F F3o
A B
x3f A3o F3f o3F x3x
o3x F3x x3F F3f A3o x3F F3o
x3o
x3F F3x
x3o F3o o3F F3x x3f o3x
x3x F3o o3x
x3o
|
x3o
A
o3x x3f x3x
B E C
x3o x3f F3x o3F F3o x3x
F G D
A3o o3F
H x3o
x3x o3F A3o F3f x3F A3o x3f
J I
F3o x3F F3f F3x o3x
x3x o3F A3o F3f x3F A3o x3f
x3o
A3o o3F
x3o x3f F3x o3F F3o x3x
o3x x3f x3x
x3o
| |
| Face vector | 198, 702, 705, 201 |
| Confer |
|
The relation to ex runs as follows: ex in triangular duoprismatic subsymmetry can be given as ((fFoxffooxo 3 foFfxofxoo 2 oxofofxFof 3 ooxofxfoFf))&#zx (F = ff = f+x). That will be transformed finally into ((fFo(-x)ffoo(-x)o 3 foFFxofxxo 2 o(-x)ofof(-x)Fof 3 oxxofxFoFf))&#zx. Then a Stott expansion wrt. the first and second nodes produces this polychoron (A = F+x = f+2x).
Incidence matrix according to Dynkin symbol
((FAxoFFxxox3foFFxofxxo xoxFxFoAxF3oxxofxFoFf))&#zx → all heights = 0 – but not all lacings exist o.........3o......... o.........3o......... | 18 * * * * * * * * * | 2 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 0 | 1 2 2 1 2 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 | 1 1 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 .o........3.o........ .o........3.o........ | * 9 * * * * * * * * | 0 4 0 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 | 0 2 4 4 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 | 2 0 2 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ..o.......3..o....... ..o.......3..o....... | * * 36 * * * * * * * | 0 0 1 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 0 0 0 1 1 0 0 1 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 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 ...o......3...o...... ...o......3...o...... | * * * 9 * * * * * * | 0 0 0 0 0 0 0 0 0 4 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 2 2 0 0 0 0 4 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 1 0 0 2 0 0 0 0 0 0 0 ....o.....3....o..... ....o.....3....o..... | * * * * 36 * * * * * | 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 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 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 .....o....3.....o.... .....o....3.....o.... | * * * * * 18 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 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 0 0 0 0 0 0 2 0 0 1 0 2 1 2 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 2 0 0 0 0 0 2 1 1 1 0 0 0 0 ......o...3......o... ......o...3......o... | * * * * * * 18 * * * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 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 2 1 2 0 0 0 0 1 2 0 0 0 2 1 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 1 0 0 0 .......o..3.......o.. .......o..3.......o.. | * * * * * * * 18 * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 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 2 1 0 0 0 0 2 1 2 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 0 2 0 1 2 0 2 0 0 ........o.3........o. ........o.3........o. | * * * * * * * * 18 * | 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 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 2 0 0 0 1 2 0 0 0 1 2 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 1 1 .........o3.........o .........o3.........o | * * * * * * * * * 18 | 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 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 2 0 0 2 0 0 0 2 1 0 0 2 1 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 1 0 1 ----------------------------------------------------+-----------------------------+----------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------+-------------------------------------------- .......... .......... x......... .......... | 2 0 0 0 0 0 0 0 0 0 | 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 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 0 0 | 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 oo........3oo........ oo........3oo........ &#x | 1 1 0 0 0 0 0 0 0 0 | * 36 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 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 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.o.......3o.o....... o.o.......3o.o....... &#x | 1 0 1 0 0 0 0 0 0 0 | * * 36 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 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 0 0 0 | 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 o...o.....3o...o..... o...o.....3o...o..... &#x | 1 0 0 0 1 0 0 0 0 0 | * * * 36 * * * * * * * * * * * * * * * * * * * * * * * * * | 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 | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .......... .x........ | 0 2 0 0 0 0 0 0 0 0 | * * * * 9 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 2 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 | 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .o..o.....3.o..o..... .o..o.....3.o..o..... &#x | 0 1 0 0 1 0 0 0 0 0 | * * * * * 36 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 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 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ..x....... .......... .......... .......... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 0 1 0 0 0 0 0 0 0 .......... .......... ..x....... .......... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 1 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 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 .......... .......... .......... ..x....... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 1 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 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 ..oo......3..oo...... ..oo......3..oo...... &#x | 0 0 1 1 0 0 0 0 0 0 | * * * * * * * * * 36 * * * * * * * * * * * * * * * * * * * | 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 0 | 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 ..o.o.....3..o.o..... ..o.o.....3..o.o..... &#x | 0 0 1 0 1 0 0 0 0 0 | * * * * * * * * * * 36 * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 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 | 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 ..o...o...3..o...o... ..o...o...3..o...o... &#x | 0 0 1 0 0 0 1 0 0 0 | * * * * * * * * * * * 36 * * * * * * * * * * * * * * * * * | 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 1 1 1 0 0 0 0 0 0 0 ...o...o..3...o...o.. ...o...o..3...o...o.. &#x | 0 0 0 1 0 0 0 1 0 0 | * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * | 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 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 0 .......... ....x..... .......... .......... | 0 0 0 0 2 0 0 0 0 0 | * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 .......... .......... ....x..... .......... | 0 0 0 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 ....oo....3....oo.... ....oo....3....oo.... &#x | 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 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 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 ....o.o...3....o.o... ....o.o...3....o.o... &#x | 0 0 0 0 1 0 1 0 0 0 | * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * | 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 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 1 1 0 0 0 0 0 0 .......... .......... .......... .....x.... | 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * * 9 * * * * * * * * * * * | 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 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 .....o.o..3.....o.o.. .....o.o..3.....o.o.. &#x | 0 0 0 0 0 1 0 1 0 0 | * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * | 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 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 .....o...o3.....o...o .....o...o3.....o...o &#x | 0 0 0 0 0 1 0 0 0 1 | * * * * * * * * * * * * * * * * * * * 18 * * * * * * * * * | 0 0 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 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 0 0 ......x... .......... .......... .......... | 0 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * * * 9 * * * * * * * * | 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 0 0 0 | 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 0 0 0 ......o.o.3......o.o. ......o.o.3......o.o. &#x | 0 0 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * * * * * * * * 36 * * * * * * * | 0 0 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 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 .......x.. .......... .......... .......... | 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * 9 * * * * * * | 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 2 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 .......... .......x.. .......... .......... | 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 9 * * * * * | 0 0 0 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 1 0 2 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 .......o.o3.......o.o .......o.o3.......o.o &#x | 0 0 0 0 0 0 0 1 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * 36 * * * * | 0 0 0 0 0 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 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 .......... ........x. .......... .......... | 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 18 * * * | 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 0 0 0 0 1 1 .......... .......... ........x. .......... | 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 9 * * | 0 0 0 0 0 0 0 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 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 0 ........oo3........oo ........oo3........oo &#x | 0 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 36 * | 0 0 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 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 .........x .......... .......... .......... | 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 18 | 0 0 0 0 0 0 0 0 0 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 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 ----------------------------------------------------+-----------------------------+----------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------+-------------------------------------------- .......... .......... x.........3o......... | 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 | 6 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... xo........ .......... &#x | 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 | * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 oo..o.....3oo..o..... oo..o.....3oo..o..... &#x | 1 1 0 0 1 0 0 0 0 0 | 0 1 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 | * * 36 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .......... ox........ &#x | 1 2 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 | * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... x.x....... .......... &#x | 2 0 2 0 0 0 0 0 0 0 | 1 0 2 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 | * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .......... o.x....... &#x | 1 0 2 0 0 0 0 0 0 0 | 0 0 2 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 | * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... x...x..... .......... &#x | 2 0 0 0 2 0 0 0 0 0 | 1 0 0 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 | * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .......... o...fx.... &#xt | 1 0 0 0 2 2 0 0 0 0 | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 o.o.o.....3o.o.o..... o.o.o.....3o.o.o..... &#x | 1 0 1 0 1 0 0 0 0 0 | 0 0 1 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 | * * * * * * * * 36 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .o........3.x........ | 0 3 0 0 0 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 | * * * * * * * * * 3 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .o..x..... .......... .......... &#x | 0 1 0 0 2 0 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .o..x..... .......... &#x | 0 1 0 0 2 0 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 ..x....... .......... ..x....... .......... &#x | 0 0 4 0 0 0 0 0 0 0 | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 9 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 ..x....... .......... .......... ..x....... | 0 0 4 0 0 0 0 0 0 0 | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 9 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 .......... .......... ..x.......3..x....... | 0 0 6 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 6 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 ..xo...... .......... .......... .......... &#x | 0 0 2 1 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 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 .......... .......... .......... ..xo...... &#x | 0 0 2 1 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 0 0 0 0 | * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 .......... .......... ..x.x..... .......... &#x | 0 0 2 0 2 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 ..x...x... .......... .......... .......... &#x | 0 0 2 0 0 0 2 0 0 0 | 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 .......... .......... ..x...o... .......... &#x | 0 0 2 0 0 0 1 0 0 0 | 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 ..o.o.o...3..o.o.o... ..o.o.o...3..o.o.o... &#x | 0 0 1 0 1 0 1 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 | * * * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 ..oooo.o..3..oooo.o.. ..oooo.o..3..oooo.o.. &#xr | 0 0 1 1 1 1 0 1 0 0 | 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * * * * 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