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| exploded view |
vZome modell of tut centered 3D projection, highlighting some thawro faces |
highlighting tuts ( bilbiroes ( |
- uniform relative:
- rox
- general polytopal classes:
- expanded kaleido-facetings
| Acronym | ... | |||||||||
| Name | Jonathan Kirk's CRF ((VoxFfofx3xxooxFff3xBoFooxF *b3ooBxFfxo))&#zx | |||||||||
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| Face vector | 704, 2352, 2096, 448 | |||||||||
| Confer |
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This CRF was found by J. Kirk and had been constructed as 3D projection with vZome already in early 2025. However, only in 2026 S. Vorthmann provided details on it and announced it in the vZome discord.
The relation to rox runs as follows: rox in demitessic subsymmetry can be given as ((Voo|Fxf|ofx 3 xxx|ooo|fff 3 oVo|fFx|xof *b3 ooV|xfF|fxo))&#zx. The third layer thereof will be transformed into ((Vox|Fxf|ofx 3 xx(-x)|ooo|fff 3 oVx|fFx|xof *b3 ooB|xfF|fxo))&#zx and then once again into ((Vox|Fxf|ofx 3 xxo|ooo|fff 3 oV(-x)|fFx|xof *b3 ooB|xfF|fxo))&#zx. Next the sixth layer gets transformed into ((Vox|Fxf|ofx 3 xxo|oox|fff 3 oV(-x)|fF(-x)|xof *b3 ooB|xfF|fxo))&#zx and the seventh into ((Vox|Fxf|ofx 3 xxo|oox|Fff 3 oV(-x)|fF(-x)|(-x)of *b3 ooB|xfF|fxo))&#zx. Sadly this mere EKF lacks to be CRF, because the f-sized edges of the fifth layer remain at the outside. But then, by the omission of this offending layer, the according reduced fellow ((Vox|F.f|ofx 3 xxo|o.x|Fff 3 oV(-x)|f.(-x)|(-x)of *b3 ooB|x.F|fxo))&#zx becomes CRF again: it then happens to be this polychoron.
Below, in the 2nd, mere axially-tetrahedral symmetric matrix, the edges got additionally labeled according to the strut colors of the middle picture, i.e. his first vZome modell.
Incidence matrix according to Dynkin symbol
((VoxFfofx3xxooxFff3xBoFooxF *b3ooBxFfxo))&#zx o.......3o.......3o....... *b3o....... | 96 * * * * * * * | 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 1 0 0 0 0 0 0 0 .o......3.o......3.o...... *b3.o...... | * 48 * * * * * * | 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 2 2 4 1 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 ..o.....3..o.....3..o..... *b3..o..... | * * 32 * * * * * | 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 3 3 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 3 0 1 1 0 0 ...o....3...o....3...o.... *b3...o.... | * * * 96 * * * * | 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 | 0 0 1 2 2 0 0 0 0 1 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 | 0 1 1 2 0 0 1 1 0 0 0 0 ....o...3....o...3....o... *b3....o... | * * * * 96 * * * | 0 0 0 0 0 0 0 1 0 0 0 2 1 2 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 1 1 2 0 0 0 0 | 0 0 1 0 0 0 2 0 0 1 1 0 .....o..3.....o..3.....o.. *b3.....o.. | * * * * * 48 * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 4 2 2 0 0 | 0 0 0 0 0 0 2 0 0 0 2 1 ......o.3......o.3......o. *b3......o. | * * * * * * 192 * | 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 | 0 0 1 1 1 0 1 0 0 0 1 1 .......o3.......o3.......o *b3.......o | * * * * * * * 96 | 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 2 1 0 0 0 2 0 0 1 | 0 0 0 1 0 0 2 1 0 0 0 1 -----------------------------------------------+--------------------------+-----------------------------------------------------------------+-------------------------------------------------------------------------------+--------------------------------- ........ x....... ........ ........ | 2 0 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * * * * | 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 | 1 1 1 0 1 0 0 0 0 0 0 0 ........ ........ x....... ........ | 2 0 0 0 0 0 0 0 | * 48 * * * * * * * * * * * * * * * * * | 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 1 0 0 0 0 0 0 0 o..o....3o..o....3o..o.... *b3o..o.... &#x | 1 0 0 1 0 0 0 0 | * * 192 * * * * * * * * * * * * * * * * | 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 1 1 1 0 0 0 0 0 0 0 0 o.....o.3o.....o.3o.....o. *b3o.....o. &#x | 1 0 0 0 0 0 1 0 | * * * 192 * * * * * * * * * * * * * * * | 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 1 1 0 0 0 0 0 0 0 ........ .x...... ........ ........ | 0 2 0 0 0 0 0 0 | * * * * 96 * * * * * * * * * * * * * * | 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 1 1 0 0 0 0 .o.....o3.o.....o3.o.....o *b3.o.....o &#x | 0 1 0 0 0 0 0 1 | * * * * * 96 * * * * * * * * * * * * * | 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 2 1 0 0 0 0 ..x..... ........ ........ ........ | 0 0 2 0 0 0 0 0 | * * * * * * 48 * * * * * * * * * * * * | 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 2 0 1 0 0 0 ..o.o...3..o.o...3..o.o... *b3..o.o... &#x | 0 0 1 0 1 0 0 0 | * * * * * * * 96 * * * * * * * * * * * | 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 2 0 0 1 0 0 ........ ........ ........ ...x.... | 0 0 0 2 0 0 0 0 | * * * * * * * * 96 * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 | 0 1 0 1 0 0 0 1 0 0 0 0 ...o..o.3...o..o.3...o..o. *b3...o..o. &#x | 0 0 0 1 0 0 1 0 | * * * * * * * * * 192 * * * * * * * * * | 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 1 1 0 0 1 0 0 0 0 0 ...o...o3...o...o3...o...o *b3...o...o &#x | 0 0 0 1 0 0 0 1 | * * * * * * * * * * 192 * * * * * * * * | 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 1 0 0 1 1 0 0 0 0 ........ ....x... ........ ........ | 0 0 0 0 2 0 0 0 | * * * * * * * * * * * 96 * * * * * * * | 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 1 0 0 0 1 0 0 1 0 0 ....oo..3....oo..3....oo.. *b3....oo.. &#x | 0 0 0 0 1 1 0 0 | * * * * * * * * * * * * 96 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 | 0 0 0 0 0 0 2 0 0 0 1 0 ....o.o.3....o.o.3....o.o. *b3....o.o. &#x | 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * 192 * * * * * | 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 1 0 0 0 1 0 0 0 1 0 .....oo.3.....oo.3.....oo. *b3.....oo. &#x | 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * 192 * * * * | 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 1 0 0 0 1 1 ........ ........ ......x. ........ | 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * 96 * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 0 1 0 0 0 0 0 1 1 ........ ........ ........ ......x. | 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * 96 * * | 0 0 0 0 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 1 0 0 0 0 0 0 1 ......oo3......oo3......oo *b3......oo &#x | 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * 192 * | 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 1 0 0 0 0 1 .......x ........ ........ ........ | 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 0 1 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 1 -----------------------------------------------+--------------------------+-----------------------------------------------------------------+-------------------------------------------------------------------------------+--------------------------------- ........ x.......3x....... ........ | 6 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 | 32 * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 ........ x....... ........ *b3o....... | 3 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 | * 32 * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 ........ x..o.... ........ ........ &#x | 2 0 0 1 0 0 0 0 | 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 96 * * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 ........ ........ ........ o..x.... &#x | 1 0 0 2 0 0 0 0 | 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * 96 * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 o..o..o.3o..o..o.3o..o..o. *b3o..o..o. &#x | 1 0 0 1 0 0 1 0 | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * 192 * * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0 ........ ........ x.....x. ........ &#x | 2 0 0 0 0 0 2 0 | 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * 96 * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 ........ ........ ........ o.....x. &#x | 1 0 0 0 0 0 2 0 | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * 96 * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 0 .o......3.x...... ........ ........ | 0 3 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 | * * * * * * * 32 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 ........ .x...... ........ *b3.o...... | 0 3 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 | * * * * * * * * 32 * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 0 ........ .x.o...f ........ ........ &#xt | 0 2 0 1 0 0 0 2 | 0 0 0 0 1 2 0 0 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * 96 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0 tower 2-8-4 .o.....x ........ ........ ........ &#x | 0 1 0 0 0 0 0 2 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * * 48 * * * * * * * * * * * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 ..x.....3..o..... ........ ........ | 0 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 | * * * * * * * * * * * 32 * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 0 0 ..x.fo.. ........ ........ ........ &#xt | 0 0 2 0 2 1 0 0 | 0 0 0 0 0 0 1 2 0 0 0 0 2 0 0 0 0 0 0 | * * * * * * * * * * * * 48 * * * * * * * * * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 ........ ..o.x... ........ ........ &#x | 0 0 1 0 2 0 0 0 | 0 0 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 96 * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 0 ........ ...o.... ........ *b3...x.... | 0 0 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 | * * * * * * * * * * * * * * 32 * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0 0 ........ ...ox.f. ........ ........ &#xt | 0 0 0 1 2 0 2 0 | 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * 96 * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 tower 4-7-5 ...o..oo3...o..oo3...o..oo *b3...o..oo &#x | 0 0 0 1 0 0 1 1 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * 192 * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 0 ........ ........ ........ ...x...o &#x | 0 0 0 2 0 0 0 1 | 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 96 * * * * * * * | 0 0 0 1 0 0 0 1 0 0 0 0 ........ ....x...3....o... ........ | 0 0 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 | * * * * * * * * * * * * * * * * * * 32 * * * * * * | 0 0 1 0 0 0 0 0 0 1 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 2 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * * 96 * * * * * | 0 0 1 0 0 0 0 0 0 0 1 0 ....ooo.3....ooo.3....ooo. *b3....ooo. &#x | 0 0 0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 192 * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 .....ofx ........ ........ ........ &#xt | 0 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 | * * * * * * * * * * * * * * * * * * * * * 96 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 ........ ........ .....ox. ........ &#x | 0 0 0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * 96 * * | 0 0 0 0 0 0 0 0 0 0 1 1 ........ ........ ......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 2 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 48 * | 0 0 0 0 1 0 0 0 0 0 0 1 ........ ........ ........ ......xo &#x | 0 0 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 | * * * * * * * * * * * * * * * * * * * * * * * * 96 | 0 0 0 1 0 0 0 0 0 0 0 1 -----------------------------------------------+--------------------------+-----------------------------------------------------------------+-------------------------------------------------------------------------------+--------------------------------- ........ x.......3x....... *b3o....... ♦ 12 0 0 0 0 0 0 0 | 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * ........ x..o.... ........ o..x.... &#x ♦ 3 0 0 3 0 0 0 0 | 3 0 6 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | 0 1 3 3 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * 32 * * * * * * * * * * ........ x..ox.f.3x..Fo.x. ........ &#xt ♦ 6 0 0 3 3 0 6 0 | 3 3 6 6 0 0 0 0 0 6 0 3 0 6 0 3 0 0 0 | 1 0 3 0 6 3 0 0 0 0 0 0 0 0 0 3 0 0 1 3 0 0 0 0 0 | * * 32 * * * * * * * * * tower 1-4-7-5 ........ ........ ........ o..x..xo &#xr ♦ 1 0 0 2 0 0 2 1 | 0 0 2 2 0 0 0 0 1 2 2 0 0 0 0 0 1 2 0 | 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 1 | * * * 96 * * * * * * * * cycle (1,4,9,8) ........ ........ x.....x. o.....x. &#x ♦ 2 0 0 0 0 0 4 0 | 0 1 0 4 0 0 0 0 0 0 0 0 0 0 0 2 2 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 1 0 | * * * * 48 * * * * * * * .o......3.x...... ........ *b3.o...... ♦ 0 6 0 0 0 0 0 0 | 0 0 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 8 * * * * * * .oxFfofx3.xooxFff ........ ........ &#xt ♦ 0 3 3 3 6 3 6 6 | 0 0 0 0 3 6 3 6 0 6 6 3 6 6 6 0 0 6 3 | 0 0 0 0 0 0 0 1 0 3 3 1 3 3 0 3 6 0 0 0 6 3 0 0 0 | * * * * * * 32 * * * * * tower 2-8-4-7-6-5-3 ........ .x.o...f ........ *b3.o.x...o &#xt ♦ 0 3 0 3 0 0 0 3 | 0 0 0 0 3 3 0 0 3 0 6 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 3 0 0 0 0 1 0 0 3 0 0 0 0 0 0 0 | * * * * * * * 32 * * * * tower 2-8-4 ..x.....3..o.....3..o..... ........ ♦ 0 0 4 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 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 8 * * * ........ ..o.x...3..o.o... ........ &#x ♦ 0 0 1 0 3 0 0 0 | 0 0 0 0 0 0 0 3 0 0 0 3 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 1 0 0 0 0 0 0 | * * * * * * * * * 32 * * ........ ........ ....oox. ........ &#x ♦ 0 0 0 0 1 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 0 1 0 0 | * * * * * * * * * * 96 * ((.....ofx ........ .....oxF .....fxo))&#zx ♦ 0 0 0 0 0 2 8 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 4 4 8 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 2 4 | * * * * * * * * * * * 24 12345678 12345678 12345678 12345678 1 2 3 4 5 6 7 8
xFxFooBoFxoCoFxBxFFAu(fA)xoBFAfoxBxFxoBofFoxxo3xoffxFxoFVFoxFBxffoFV(ff)VFoffxBFxoFVFoxFxffox3oxxoFfoBoxFxBxofAFBox(Af)uAFFxBxFoCoxFoBooFxFx&#xt o....................(..).....................3o....................(..).....................3o....................(..)..................... & | 24 * * * * * * * * * * * * * * * * * * * * * | 1 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 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .o...................(..).....................3.o...................(..).....................3.o...................(..)..................... & | * 24 * * * * * * * * * * * * * * * * * * * * | 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ..o..................(..).....................3..o..................(..).....................3..o..................(..)..................... & | * * 48 * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 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 1 1 1 0 1 1 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 0 0 0 0 0 0 0 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 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...o.................(..).....................3...o.................(..).....................3...o.................(..)..................... & | * * * 24 * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 2 0 0 2 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 0 0 0 0 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