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 |
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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 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