Acronym | ... |
Name | DCBAVFfxoo xxxFofxFVo3xoxxFxooxo5ofxooxFfoV&#zx |
Face vector | 1220, 3900, 3460, 780 |
Confer |
|
The relation to rox runs as follows: rox in icosahedral-prismatic subsymmetry can be given as DCBAVFfxoo 2 xoxFofofVx 3 oxoofoxxoo 5 ooxooxxoof &#zx. That will be transformed into DCBAVFfxoo 2 xoxFofofVx 3 o(-x)oofoxxoo 5 ooxooxxoof &#zx (faceting, same vertex set). This in turn will be transformed into DCBAVFfxoo 2 xoxFofxfVx 3 o(-x)oofo(-x)xoo 5 ooxooxFoof &#zx (other faceting, still same vertex set). Once more into DCBAVFfxoo 2 xoxFofxFVx 3 o(-x)oofo(-x)(-x)oo 5 ooxooxFfof &#zx and finally within the second of the central layers first into DCBAVFfxoo 2 xoxFofxFV(-x) 3 o(-x)oofo(-x)(-x)ox 5 ooxooxFfof &#zx and once agin into DCBAVFfxoo 2 xxxFofxFVo 3 o(-x)oofo(-x)(-x)o(-x) 5 ofxooxFfoV &#zx (still other faceting with same vertex set). Then a Stott expansion wrt. the third node produces this polychoron.
Here: F=f+x=ff, V=F+v=2f, A=F+x=f+2x, B=V+x=2f+x=fff, C=2F=2f+2x, D=F+V=3f+x.
Incidence matrix according to Dynkin symbol
DCBAVFfxoo xxxFofxFVo3xoxxFxooxo5ofxooxFfoV&#zx → all heights = 0 – except those of the not existing lacings o......... o.........3o.........5o......... | 120 * * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 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 0 0 0 0 0 | 1 2 1 1 0 0 0 0 0 0 0 0 0 0 .o........ .o........3.o........5.o........ | * 120 * * * * * * * * | 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 2 1 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 1 2 1 1 0 0 0 0 0 0 0 0 0 ..o....... ..o.......3..o.......5..o....... | * * 240 * * * * * * * | 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 1 0 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 1 1 1 1 1 1 1 0 0 0 0 0 ...o...... ...o......3...o......5...o...... | * * * 120 * * * * * * | 0 0 0 0 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 2 1 0 0 0 2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 0 2 1 1 0 0 0 0 ....o..... ....o.....3....o.....5....o..... | * * * * 60 * * * * * | 0 0 0 0 0 0 0 0 0 4 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 2 2 0 0 4 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 1 0 2 0 1 0 0 0 .....o.... .....o....3.....o....5.....o.... | * * * * * 240 * * * * | 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 1 1 1 1 0 0 ......o... ......o...3......o...5......o... | * * * * * * 120 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 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 2 0 1 0 0 2 1 2 1 0 0 0 | 0 0 0 0 0 1 0 0 0 0 2 1 1 0 .......o.. .......o..3.......o..5.......o.. | * * * * * * * 120 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 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 1 2 2 0 0 1 2 1 0 | 0 0 0 0 0 0 0 0 0 1 2 1 0 1 ........o. ........o.3........o.5........o. | * * * * * * * * 60 * | 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 4 1 | 0 0 0 0 0 0 0 0 0 2 1 0 0 2 .........o .........o3.........o5.........o | * * * * * * * * * 20 ♦ 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 0 0 0 0 0 6 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 3 0 2 0 ------------------------------------------------+--------------------------------------+----------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------+-------------------------------------------- .......... x......... .......... .......... | 2 0 0 0 0 0 0 0 0 0 | 60 * * * * * * * * * * * * * * * * * * * * * * * | 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 | 1 2 1 0 0 0 0 0 0 0 0 0 0 0 .......... .......... x......... .......... | 2 0 0 0 0 0 0 0 0 0 | * 120 * * * * * * * * * * * * * * * * * * * * * * | 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 0 | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 oo........ oo........3oo........5oo........&#x | 1 1 0 0 0 0 0 0 0 0 | * * 240 * * * * * * * * * * * * * * * * * * * * * | 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 0 0 0 .......... .x........ .......... .......... | 0 2 0 0 0 0 0 0 0 0 | * * * 120 * * * * * * * * * * * * * * * * * * * * | 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 0 0 0 | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 .oo....... .oo.......3.oo.......5.oo.......&#x | 0 1 1 0 0 0 0 0 0 0 | * * * * 240 * * * * * * * * * * * * * * * * * * * | 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 1 1 1 0 0 0 0 0 0 0 0 0 .......... ..x....... .......... .......... | 0 0 2 0 0 0 0 0 0 0 | * * * * * 120 * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 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 1 1 1 0 0 0 0 0 0 0 .......... .......... ..x....... .......... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * 120 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 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 1 1 1 0 1 0 0 0 0 0 0 .......... .......... .......... ..x....... | 0 0 2 0 0 0 0 0 0 0 | * * * * * * * 120 * * * * * * * * * * * * * * * * | 0 0 0 0 1 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 1 1 0 0 1 0 1 0 0 0 0 0 ..oo...... ..oo......3..oo......5..oo......&#x | 0 0 1 1 0 0 0 0 0 0 | * * * * * * * * 240 * * * * * * * * * * * * * * * | 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 0 0 0 0 0 | 0 0 0 1 0 0 0 1 1 0 0 0 0 0 ..o.o..... ..o.o.....3..o.o.....5..o.o.....&#x | 0 0 1 0 1 0 0 0 0 0 | * * * * * * * * * 240 * * * * * * * * * * * * * * | 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 0 0 0 | 0 0 0 0 0 1 1 0 1 0 0 0 0 0 ..o..o.... ..o..o....3..o..o....5..o..o....&#x | 0 0 1 0 0 1 0 0 0 0 | * * * * * * * * * * 240 * * * * * * * * * * * * * | 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 1 0 1 1 0 0 0 0 0 .......... .......... ...x...... .......... | 0 0 0 2 0 0 0 0 0 0 | * * * * * * * * * * * 120 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 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 ...o.o.... ...o.o....3...o.o....5...o.o....&#x | 0 0 0 1 0 1 0 0 0 0 | * * * * * * * * * * * * 240 * * * * * * * * * * * | 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 0 0 0 0 0 0 1 1 1 0 0 0 0 ....oo.... ....oo....3....oo....5....oo....&#x | 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * * * * 240 * * * * * * * * * * | 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 1 0 1 0 0 0 .......... .......... .....x.... .......... | 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * 120 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 0 1 0 1 0 0 .......... .......... .......... .....x.... | 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * 120 * * * * * * * * | 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 0 | 0 0 0 0 0 0 0 0 1 1 1 0 0 0 .....oo... .....oo...3.....oo...5.....oo...&#x | 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * * * * 240 * * * * * * * | 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 | 0 0 0 0 0 1 0 0 0 0 1 1 0 0 .....o.o.. .....o.o..3.....o.o..5.....o.o..&#x | 0 0 0 0 0 1 0 1 0 0 | * * * * * * * * * * * * * * * * * 240 * * * * * * | 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 1 1 1 0 0 .......... ......x... .......... .......... | 0 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * 120 * * * * * | 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 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 1 0 1 0 ......oo.. ......oo..3......oo..5......oo..&#x | 0 0 0 0 0 0 1 1 0 0 | * * * * * * * * * * * * * * * * * * * 120 * * * * | 0 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 2 1 0 0 ......o..o ......o..o3......o..o5......o..o&#x | 0 0 0 0 0 0 1 0 0 1 | * * * * * * * * * * * * * * * * * * * * 120 * * * | 0 0 0 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 0 0 0 0 0 0 0 0 0 2 0 1 0 .......x.. .......... .......... .......... | 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * 60 * * | 0 0 0 0 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 2 0 0 1 .......oo. .......oo.3.......oo.5.......oo.&#x | 0 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * * * * * * * * * 240 * | 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 1 1 0 | 0 0 0 0 0 0 0 0 0 1 1 0 0 1 .......... .......... ........x. .......... | 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * * * * * * 60 | 0 0 0 0 0 0 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 0 0 0 0 0 2 0 0 0 1 ------------------------------------------------+--------------------------------------+----------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------+-------------------------------------------- .......... x.........3x......... .......... | 6 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 0 0 | 40 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 .......... .......... x.........5o......... | 5 0 0 0 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 .......... xx........ .......... ..........&#x | 2 2 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 0 0 0 0 0 0 0 | * * 120 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 .......... .......... xo........ ..........&#x | 2 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 0 0 0 0 | * * * 120 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 .......... .......... .......... ofx.......&#xt | 1 2 2 0 0 0 0 0 0 0 | 0 0 2 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 120 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 1 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 | * * * * * 40 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0 0 0 .......... .xx....... .......... ..........&#x | 0 2 2 0 0 0 0 0 0 0 | 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 120 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0 0 .......... .......... .ox....... ..........&#x | 0 1 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 0 0 0 0 0 0 | * * * * * * * 120 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 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 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 40 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 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 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 60 * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 0 0 .......... .......... ..xx...... ..........&#x | 0 0 2 2 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 | * * * * * * * * * * 120 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 1 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 | * * * * * * * * * * * 120 * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 0 0 .......... ..x.o..... .......... ..........&#x | 0 0 2 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 | * * * * * * * * * * * * 120 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 .......... .......... .......... ..x.o.....&#x | 0 0 2 0 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 | * * * * * * * * * * * * * 120 * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 .......... .......... ..x..x.... ..........&#x | 0 0 2 0 0 2 0 0 0 0 | 0 0 0 0 0 0 1 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 120 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 ..oo.o.... ..oo.o....3..oo.o....5..oo.o....&#x | 0 0 1 1 0 1 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 240 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 ..o.oo.... ..o.oo....3..o.oo....5..o.oo....&#x | 0 0 1 0 1 1 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 | * * * * * * * * * * * * * * * * 240 * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0 0 0 .......... .......... ...x......5...o...... | 0 0 0 5 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 24 * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 1 0 0 0 0 .......... .......... ...x.x.... ..........&#x | 0 0 0 2 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 120 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 .......... .......... .......... ...o.x....&#x | 0 0 0 1 0 2 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 | * * * * * * * * * * * * * * * * * * * 120 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 .......... ....ofx... .......... ..........&#xt | 0 0 0 0 1 2 2 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 | * * * * * * * * * * * * * * * * * * * * 120 * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 .......... .......... .......... ....ox....&#x | 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 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 120 * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 .......... .......... .....xo... ..........&#x | 0 0 0 0 0 2 1 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 | * * * * * * * * * * * * * * * * * * * * * * 120 * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 .......... .......... .....x.o.. ..........&#x | 0 0 0 0 0 2 0 1 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 | * * * * * * * * * * * * * * * * * * * * * * * 120 * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 .......... .......... .......... .....x.fo.&#xt | 0 0 0 0 0 2 0 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * * * * * * * 120 * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 .....ooo.. .....ooo..3.....ooo..5.....ooo..&#x | 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 1 1 0 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 240 * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 .......... ......x...3......o... .......... | 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 3 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 40 * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 .......... ......x..o .......... ..........&#x | 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 1 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 120 * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 ......fx.o .......... .......... ..........&#xt | 0 0 0 0 0 0 2 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 60 * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 tower: H-G-J .......xo. .......... .......... ..........&#x | 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 2 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 120 * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 .......... .......... .......ox. ..........&#x | 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 2 1 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 120 * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 .......... .......... ........x.5........o. | 0 0 0 0 0 0 0 0 5 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 2 0 0 0 0 ------------------------------------------------+--------------------------------------+----------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------+-------------------------------------------- .......... x.........3x.........5o......... ♦ 60 0 0 0 0 0 0 0 0 0 | 30 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 20 12 0 0 0 0 0 0 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 * * * * * * * * * * * * * .......... xx........3xo........ ..........&#x ♦ 6 3 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 | 1 0 3 3 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 | * 40 * * * * * * * * * * * * .......... xxx....... .......... ofx.......&#xt ♦ 2 4 4 0 0 0 0 0 0 0 | 1 0 4 2 4 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 0 2 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 | * * 60 * * * * * * * * * * * .......... .......... xoxx......5ofxo......&#xt ♦ 5 5 10 5 0 0 0 0 0 0 | 0 5 10 0 10 0 5 5 10 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 5 5 0 0 5 0 0 5 5 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * .......... .xx.......3.ox....... ..........&#x ♦ 0 3 6 0 0 0 0 0 0 0 | 0 0 0 3 6 3 3 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 0 0 0 0 0 0 0 0 0 | * * * * 40 * * * * * * * * * .......... ..x.ofx...3..x.Fxo... ..........&#xt ♦ 0 0 6 0 3 6 3 0 0 0 | 0 0 0 0 0 3 3 0 0 6 6 0 0 6 3 0 6 0 3 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 3 0 3 0 6 0 0 0 3 0 3 0 0 0 1 0 0 0 0 0 | * * * * * 40 * * * * * * * * .......... ..x.o..... .......... ..x.o.....&#x ♦ 0 0 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