Acronym | ... |
Name | FAxoFFxoox3foFFxofoxo oxofofxFof3ooxofxfoFf&#zx |
Lace city in approx. ASCII-art |
x3o J o3o F3o x3f o3x H F G I x3o F3o o3F F3x x3f x3o D E x3f A3o x3F F3o B C o3x F3x x3F F3f A3o o3F o3o A x3f A3o x3F F3o x3o F3o o3F F3x x3f x3o o3o F3o x3f o3x x3o |
o3o A x3o o3f o3x B E C o3o o3f f3x x3f f3o o3x F G D x3f o3o o3x x3f f3f o3F o3f J I f3o o3F F3o f3f f3x x3o H o3x x3f f3f o3F o3f o3o x3f o3o o3f f3x x3f f3o o3x x3o o3f o3x o3o | |
Face vector | 144, 603, 648, 189 |
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)ffo(-x)(-x)o 3 foFFxofoxo 2 oxofofxFof 3 ooxofxfoFf &#zx. Then a Stott expansion wrt. the first node produces this polychoron (A = F+x = f+2x).
Incidence matrix according to Dynkin symbol
FAxoFFxoox3foFFxofoxo oxofofxFof3ooxofxfoFf&#zx → all heights = 0 – but not all lacings exist o.........3o......... o.........3o......... | 6 * * * * * * * * * ♦ 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 | 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 | 1 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 A: F3f o3o .o........3.o........ .o........3.o........ | * 9 * * * * * * * * | 2 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 0 4 0 1 2 4 1 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 | 2 0 4 2 2 2 0 0 0 0 0 0 0 0 0 0 0 B: A3o x3o ..o.......3..o....... ..o.......3..o....... | * * 18 * * * * * * * | 0 1 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 2 0 1 0 0 0 0 0 2 1 2 2 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 0 1 2 1 2 1 0 0 0 0 0 0 C: x3F o3x ...o......3...o...... ...o......3...o...... | * * * 9 * * * * * * | 0 0 0 0 0 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 2 2 0 0 4 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 0 0 0 1 0 2 0 1 0 0 0 0 0 D1: o3F f3o ....o.....3....o..... ....o.....3....o..... | * * * * 18 * * * * * | 0 0 1 0 2 0 0 0 0 1 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 0 2 1 0 2 0 0 0 0 0 0 0 2 0 0 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 2 0 0 0 0 1 0 1 0 0 0 0 E: F3x o3f .....o....3.....o.... .....o....3.....o.... | * * * * * 18 * * * * | 0 0 0 0 0 1 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 1 2 0 0 0 0 0 0 0 0 0 2 1 0 2 1 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 0 1 0 0 0 0 0 2 1 0 0 0 0 F: F3o f3x ......o...3......o... ......o...3......o... | * * * * * * 36 * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 | 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 G: x3f x3f .......o..3.......o.. .......o..3.......o.. | * * * * * * * 3 * * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 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 0 0 0 0 0 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 2 0 H21: o3o F3o ........o.3........o. ........o.3........o. | * * * * * * * * 9 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0 0 2 2 0 4 0 1 2 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 2 I1: o3x o3F .........o3.........o .........o3.........o | * * * * * * * * * 18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 1 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 1 2 0 0 0 2 2 2 0 2 1 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 J: x3o f3f ------------------------------------------------+--------------------------+--------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+---------------------------------------- oo........3oo........ oo........3oo........&#x | 1 1 0 0 0 0 0 0 0 0 | 18 * * * * * * * * * * * * * * * * * * * * * * * * * | 2 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 | 1 0 2 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 1 0 0 0 0 0 0 0 | * 18 * * * * * * * * * * * * * * * * * * * * * * * * | 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 1 0 2 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 | * * 18 * * * * * * * * * * * * * * * * * * * * * * * | 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 0 0 0 | 0 0 1 2 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 * * * * * * * * * * * * * * * * * * * * * * | 2 0 0 0 1 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 | 2 0 2 0 1 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 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 0 | 0 0 1 1 1 1 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 0 1 0 0 0 0 | * * * * * 18 * * * * * * * * * * * * * * * * * * * * | 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 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 ..x....... .......... .......... .......... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * 9 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 0 2 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 1 2 1 2 0 0 0 0 0 0 0 .......... .......... .......... ..x....... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * * 18 * * * * * * * * * * * * * * * * * * | 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 1 0 1 0 0 1 1 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 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 1 0 0 0 1 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 | * * * * * * * * * 18 * * * * * * * * * * * * * * * * | 0 0 0 1 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 2 0 0 0 0 0 0 1 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 1 1 1 1 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 1 0 0 0 0 0 0 ...o..o...3...o..o... ...o..o...3...o..o...&#x | 0 0 0 1 0 0 1 0 0 0 | * * * * * * * * * * * 36 * * * * * * * * * * * * * * | 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 1 0 0 0 0 0 1 0 1 0 0 0 0 0 ....x..... .......... .......... .......... | 0 0 0 0 2 0 0 0 0 0 | * * * * * * * * * * * * 9 * * * * * * * * * * * * * | 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 0 0 0 1 2 0 0 0 0 0 0 1 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 0 1 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 1 0 1 0 0 0 0 0 0 1 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 1 0 0 0 1 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 1 0 0 0 0 .......... .......... .......... .....x.... | 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * 9 * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 .....oo...3.....oo... .....oo...3.....oo...&#x | 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * * * * 36 * * * * * * * * * | 0 0 0 0 0 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 1 0 0 0 0 0 0 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 1 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 0 0 0 ......x... .......... .......... .......... | 0 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * 18 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 .......... .......... ......x... .......... | 0 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * * 18 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 1 0 1 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 1 1 0 1 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 ......o..o3......o..o ......o..o3......o..o&#x | 0 0 0 0 0 0 1 0 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 1 0 0 0 1 1 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 .......o.o3.......o.o .......o.o3.......o.o&#x | 0 0 0 0 0 0 0 1 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 1 0 0 0 0 0 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 .......... ........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 1 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 ........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 0 0 1 0 0 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 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 1 0 1 0 1 0 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 ------------------------------------------------+--------------------------+--------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+---------------------------------------- .......... .......... ox........ ..........&#x | 1 2 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 | 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 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 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 | * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 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 | 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 | * * 36 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 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 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 | * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .x........3.o........ | 0 3 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 | * * * * 3 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 2 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 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .x..o..... ..........&#x | 0 2 0 0 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 | * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... .......... .o...x....&#x | 0 1 0 0 0 2 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 9 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 .o..oo....3.o..oo.... .o..oo....3.o..oo....&#x | 0 1 0 0 1 1 0 0 0 0 | 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 36 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 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 2 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 1 1 0 0 0 0 0 0 0 0 0 .......... .......... ..o.......3..x....... | 0 0 3 0 0 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 | * * * * * * * * * * 6 * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 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 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 1 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 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 1 0 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 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 .......... .......... ..o...x... ..........&#x | 0 0 1 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 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 ..oo..o...3..oo..o... ..oo..o...3..oo..o...&#x | 0 0 1 1 0 0 1 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 | * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 1 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 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 ...o..x... .......... .......... ..........&#x | 0 0 0 1 0 0 2 0 0 0 | 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 | * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 .......... .......... .......... ...o.xf...&#xt | 0 0 0 1 0 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 tower: D-G-F .......... ....xo.... .......... ..........&#x | 0 0 0 0 2 1 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 | * * * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 .......... .......... ....o.x... ..........&#x | 0 0 0 0 1 0 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 18 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 ....ooo...3....ooo... ....ooo...3....ooo...&#x | 0 0 0 0 1 1 1 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 | * * * * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 .......... .......... .......... .....x.o.f&#xt | 0 0 0 0 0 2 0 1 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * 9 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 tower: F-J-H .....oo..o3.....oo..o .....oo..o3.....oo..o&#x | 0 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 1 1 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 36 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 ......x... .......... ......x... .......... | 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 2 2 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * 9 * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 ......x.o. .......... .......... ..........&#x | 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 1 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 18 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 .......... .......... ......x.o. ..........&#x | 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 1 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 18 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 ......x..x .......... .......... ..........&#x | 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 1 0 0 2 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 18 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 ......o.oo3......o.oo ......o.oo3......o.oo&#x | 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 1 1 0 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 36 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 .......o.x .......... .......... 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