Sober ABC's thread

Sober ABC · Post by **Sober ABC** » June 21st, 2026, 12:30 am

Sober ABC wrote: June 15th, 2026, 11:58 am
Is the period 16(20) shorter than in the previous version? And the total number of cells is more than 7×8 =56(5×5=25).

What do you think of the name "light acceleration"? Maybe it will be useful in practice somewhere? Conclusion. Once again, the results are in words. The number of cycles of creating the minimum world to repeat the diagonal and horizontal glider is different, but the speed is the same. Why is a large area created faster?

Sober ABC · Post by **Sober ABC** » June 25th, 2026, 10:55 am

Sober ABC wrote: June 9th, 2026, 10:39 pm

b-engine wrote: June 8th, 2026, 6:19 pm
Whoever is looking for it will find it! It worked! Hurray!

Code: Select all

x = 163, y = 163, rule = B3/S23
66b2o26b2o$66b2o26b2o3$67bo27bo$66b3o25b3o$65bo3bo23bo3bo$67bo27bo$64b
o5bo21bo5bo$64bo5bo21bo5bo$65bo3bo23bo3bo$66b3o25b3o14$66b2o3b2o17b2o
3b2o2$67bo3bo19bo3bo$68b3o21b3o$68b3o21b3o3$71bo19bo$70b3o17b3o$69bo3b
o15bo3bo$71bo19bo$68bo5bo13bo5bo$68bo5bo13bo5bo$69bo3bo15bo3bo$70b3o17b
3o14$70b2o3b2o9b2o3b2o2$71bo3bo11bo3bo$72b3o13b3o$72b3o13b3o3$75bo11b
o$74b3o9b3o$73bo3bo7bo3bo$75bo11bo$8b2o62bo5bo5bo5bo62b2o$6bo3bo61bo5b
o5bo5bo61bo3bo$5bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o$2o2b2obo3bo13bo
bo46b3o9b3o46bobo13bo3bob2o2b2o$2o3bo5bo16b2o6b2o87b2o6b2o16bo5bo$6bo
3bo17b2o4bo3bo85bo3bo4b2o17bo3bo$8b2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b
2o$25bobo4b2obo3bo13bobo51bobo13bo3bob2o4bobo$25bo7bo5bo16b2o6b2o31b2o
6b2o16bo5bo7bo$34bo3bo17b2o4bo3bo29bo3bo4b2o17bo3bo$36b2o18b2o3bo5bo9b
2o5b2o9bo5bo3b2o18b2o$53bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$53bo7bo5bo10b
3ob3o10bo5bo7bo$62bo3bo7b2o4bobo4b2o7bo3bo$64b2o8bobo9bobo8b2o$76bo9b
o$76b2o7b2o2$76b2o7b2o$76bo9bo$64b2o8bobo9bobo8b2o$62bo3bo7b2o4bobo4b
2o7bo3bo$53bo7bo5bo10b3ob3o10bo5bo7bo$53bobo4b2obo3bo9bo7bo9bo3bob2o4b
obo$36b2o18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$34bo3bo17b2o4bo3bo29bo3bo
4b2o17bo3bo$25bo7bo5bo16b2o6b2o31b2o6b2o16bo5bo7bo$25bobo4b2obo3bo13b
obo51bobo13bo3bob2o4bobo$8b2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b2o$6bo3b
o17b2o4bo3bo85bo3bo4b2o17bo3bo$5bo5bo16b2o6b2o87b2o6b2o16bo5bo3b2o$2o
2b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o2b2o$2o3bo5bo13bo47bo3bo7bo3b
o47bo13bo5bo$6bo3bo61bo5bo5bo5bo61bo3bo$8b2o62bo5bo5bo5bo62b2o$75bo11b
o$73bo3bo7bo3bo$74b3o9b3o$75bo11bo3$72b3o13b3o$72b3o13b3o$71bo3bo11bo
3bo2$70b2o3b2o9b2o3b2o14$70b3o17b3o$69bo3bo15bo3bo$68bo5bo13bo5bo$68b
o5bo13bo5bo$71bo19bo$69bo3bo15bo3bo$70b3o17b3o$71bo19bo3$68b3o21b3o$68b
3o21b3o$67bo3bo19bo3bo2$66b2o3b2o17b2o3b2o14$66b3o25b3o$65bo3bo23bo3b
o$64bo5bo21bo5bo$64bo5bo21bo5bo$67bo27bo$65bo3bo23bo3bo$66b3o25b3o$67b
o27bo3$67b2o26b2o$67b2o26b2o!

b-engine · Post by **b-engine** » June 25th, 2026, 6:42 pm

Sober ABC wrote: June 25th, 2026, 10:55 am

Sober ABC wrote: June 9th, 2026, 10:39 pm

b-engine wrote: June 8th, 2026, 6:19 pm
Whoever is looking for it will find it! It worked! Hurray!

Code: Select all

x = 163, y = 163, rule = B3/S23
66b2o26b2o$66b2o26b2o3$67bo27bo$66b3o25b3o$65bo3bo23bo3bo$67bo27bo$64b
o5bo21bo5bo$64bo5bo21bo5bo$65bo3bo23bo3bo$66b3o25b3o14$66b2o3b2o17b2o
3b2o2$67bo3bo19bo3bo$68b3o21b3o$68b3o21b3o3$71bo19bo$70b3o17b3o$69bo3b
o15bo3bo$71bo19bo$68bo5bo13bo5bo$68bo5bo13bo5bo$69bo3bo15bo3bo$70b3o17b
3o14$70b2o3b2o9b2o3b2o2$71bo3bo11bo3bo$72b3o13b3o$72b3o13b3o3$75bo11b
o$74b3o9b3o$73bo3bo7bo3bo$75bo11bo$8b2o62bo5bo5bo5bo62b2o$6bo3bo61bo5b
o5bo5bo61bo3bo$5bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o$2o2b2obo3bo13bo
bo46b3o9b3o46bobo13bo3bob2o2b2o$2o3bo5bo16b2o6b2o87b2o6b2o16bo5bo$6bo
3bo17b2o4bo3bo85bo3bo4b2o17bo3bo$8b2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b
2o$25bobo4b2obo3bo13bobo51bobo13bo3bob2o4bobo$25bo7bo5bo16b2o6b2o31b2o
6b2o16bo5bo7bo$34bo3bo17b2o4bo3bo29bo3bo4b2o17bo3bo$36b2o18b2o3bo5bo9b
2o5b2o9bo5bo3b2o18b2o$53bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$53bo7bo5bo10b
3ob3o10bo5bo7bo$62bo3bo7b2o4bobo4b2o7bo3bo$64b2o8bobo9bobo8b2o$76bo9b
o$76b2o7b2o2$76b2o7b2o$76bo9bo$64b2o8bobo9bobo8b2o$62bo3bo7b2o4bobo4b
2o7bo3bo$53bo7bo5bo10b3ob3o10bo5bo7bo$53bobo4b2obo3bo9bo7bo9bo3bob2o4b
obo$36b2o18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$34bo3bo17b2o4bo3bo29bo3bo
4b2o17bo3bo$25bo7bo5bo16b2o6b2o31b2o6b2o16bo5bo7bo$25bobo4b2obo3bo13b
obo51bobo13bo3bob2o4bobo$8b2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b2o$6bo3b
o17b2o4bo3bo85bo3bo4b2o17bo3bo$5bo5bo16b2o6b2o87b2o6b2o16bo5bo3b2o$2o
2b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o2b2o$2o3bo5bo13bo47bo3bo7bo3b
o47bo13bo5bo$6bo3bo61bo5bo5bo5bo61bo3bo$8b2o62bo5bo5bo5bo62b2o$75bo11b
o$73bo3bo7bo3bo$74b3o9b3o$75bo11bo3$72b3o13b3o$72b3o13b3o$71bo3bo11bo
3bo2$70b2o3b2o9b2o3b2o14$70b3o17b3o$69bo3bo15bo3bo$68bo5bo13bo5bo$68b
o5bo13bo5bo$71bo19bo$69bo3bo15bo3bo$70b3o17b3o$71bo19bo3$68b3o21b3o$68b
3o21b3o$67bo3bo19bo3bo2$66b2o3b2o17b2o3b2o14$66b3o25b3o$65bo3bo23bo3b
o$64bo5bo21bo5bo$64bo5bo21bo5bo$67bo27bo$65bo3bo23bo3bo$66b3o25b3o$67b
o27bo3$67b2o26b2o$67b2o26b2o!

Do not completely change the contents of a quote to a completely different one.
Without the original context it's not clear what it's about.

Sober ABC · Post by **Sober ABC** » July 5th, 2026, 6:39 pm

Code: Select all

x = 15, y = 16, rule = B3/S23
2b3o5b3o$2b3o5b3o$bo3bo3bo3bo2$2o3b2ob2o3b2o10$3b2o6b2o$3b2o6b2o!

Sober ABC · Post by **Sober ABC** » July 5th, 2026, 6:46 pm

b-engine wrote: June 25th, 2026, 6:42 pm

Sober ABC wrote: June 25th, 2026, 10:55 am

Sober ABC wrote: June 9th, 2026, 10:39 pm

Code: Select all

x = 163, y = 163, rule = B3/S23
66b2o26b2o$66b2o26b2o3$67bo27bo$66b3o25b3o$65bo3bo23bo3bo$67bo27bo$64b
o5bo21bo5bo$64bo5bo21bo5bo$65bo3bo23bo3bo$66b3o25b3o14$66b2o3b2o17b2o
3b2o2$67bo3bo19bo3bo$68b3o21b3o$68b3o21b3o3$71bo19bo$70b3o17b3o$69bo3b
o15bo3bo$71bo19bo$68bo5bo13bo5bo$68bo5bo13bo5bo$69bo3bo15bo3bo$70b3o17b
3o14$70b2o3b2o9b2o3b2o2$71bo3bo11bo3bo$72b3o13b3o$72b3o13b3o3$75bo11b
o$74b3o9b3o$73bo3bo7bo3bo$75bo11bo$8b2o62bo5bo5bo5bo62b2o$6bo3bo61bo5b
o5bo5bo61bo3bo$5bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o$2o2b2obo3bo13bo
bo46b3o9b3o46bobo13bo3bob2o2b2o$2o3bo5bo16b2o6b2o87b2o6b2o16bo5bo$6bo
3bo17b2o4bo3bo85bo3bo4b2o17bo3bo$8b2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b
2o$25bobo4b2obo3bo13bobo51bobo13bo3bob2o4bobo$25bo7bo5bo16b2o6b2o31b2o
6b2o16bo5bo7bo$34bo3bo17b2o4bo3bo29bo3bo4b2o17bo3bo$36b2o18b2o3bo5bo9b
2o5b2o9bo5bo3b2o18b2o$53bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$53bo7bo5bo10b
3ob3o10bo5bo7bo$62bo3bo7b2o4bobo4b2o7bo3bo$64b2o8bobo9bobo8b2o$76bo9b
o$76b2o7b2o2$76b2o7b2o$76bo9bo$64b2o8bobo9bobo8b2o$62bo3bo7b2o4bobo4b
2o7bo3bo$53bo7bo5bo10b3ob3o10bo5bo7bo$53bobo4b2obo3bo9bo7bo9bo3bob2o4b
obo$36b2o18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$34bo3bo17b2o4bo3bo29bo3bo
4b2o17bo3bo$25bo7bo5bo16b2o6b2o31b2o6b2o16bo5bo7bo$25bobo4b2obo3bo13b
obo51bobo13bo3bob2o4bobo$8b2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b2o$6bo3b
o17b2o4bo3bo85bo3bo4b2o17bo3bo$5bo5bo16b2o6b2o87b2o6b2o16bo5bo3b2o$2o
2b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o2b2o$2o3bo5bo13bo47bo3bo7bo3b
o47bo13bo5bo$6bo3bo61bo5bo5bo5bo61bo3bo$8b2o62bo5bo5bo5bo62b2o$75bo11b
o$73bo3bo7bo3bo$74b3o9b3o$75bo11bo3$72b3o13b3o$72b3o13b3o$71bo3bo11bo
3bo2$70b2o3b2o9b2o3b2o14$70b3o17b3o$69bo3bo15bo3bo$68bo5bo13bo5bo$68b
o5bo13bo5bo$71bo19bo$69bo3bo15bo3bo$70b3o17b3o$71bo19bo3$68b3o21b3o$68b
3o21b3o$67bo3bo19bo3bo2$66b2o3b2o17b2o3b2o14$66b3o25b3o$65bo3bo23bo3b
o$64bo5bo21bo5bo$64bo5bo21bo5bo$67bo27bo$65bo3bo23bo3bo$66b3o25b3o$67b
o27bo3$67b2o26b2o$67b2o26b2o!

Do not completely change the contents of a quote to a completely different one.
Without the original context it's not clear what it's about.

But then the quotes get too big. So is the code. For example, I spent a couple of hours on an illustration from -1 to +1 through 0. And it, the code in the manual, has not been preserved. But the main thing is that I managed to remember... That the antiphase period is 4 to 6. Easier. Lengthened it... Shortened it... And there, beautiful repetitions (and impossibilities) loomed. No, I won't do a 6x magnification (zoom) a second time. I looked at it myself. I remembered it myself. I hope anyone who wants to will be able to repeat it themselves. "Zoom" in...

Code: Select all

x = 607, y = 387, rule = B3/S23
382b2o58b2o$382b2o58b2o3$383bo59bo$382b3o57b3o$381bo3bo55bo3bo$383bo59b
o$380bo5bo53bo5bo$380bo5bo53bo5bo$381bo3bo55bo3bo$382b3o57b3o14$382b2o
3b2o49b2o3b2o2$383bo3bo51bo3bo$384b3o53b3o$384b3o53b3o3$387bo51bo$386b
3o49b3o$385bo3bo47bo3bo$387bo51bo$384bo5bo45bo5bo$384bo5bo45bo5bo$385b
o3bo47bo3bo$386b3o49b3o14$386b2o3b2o41b2o3b2o2$387bo3bo43bo3bo$388b3o
45b3o$388b3o45b3o3$391bo43bo$390b3o41b3o$389bo3bo39bo3bo$391bo43bo$388b
o5bo37bo5bo$388bo5bo37bo5bo$389bo3bo39bo3bo$390b3o41b3o14$390b2o3b2o33b
2o3b2o2$391bo3bo35bo3bo$392b3o37b3o$392b3o37b3o3$395bo35bo$394b3o33b3o
$393bo3bo31bo3bo$395bo35bo$392bo5bo29bo5bo$392bo5bo29bo5bo$393bo3bo31b
o3bo$394b3o33b3o14$394b2o3b2o25b2o3b2o2$395bo3bo27bo3bo$396b3o29b3o$396b
3o29b3o3$399bo27bo$398b3o25b3o$397bo3bo23bo3bo$399bo27bo$396bo5bo21bo
5bo$396bo5bo21bo5bo$397bo3bo23bo3bo$398b3o25b3o14$398b2o3b2o17b2o3b2o
2$399bo3bo19bo3bo$400b3o21b3o$400b3o21b3o3$403bo19bo$402b3o17b3o$401b
o3bo15bo3bo$403bo19bo$400bo5bo13bo5bo$400bo5bo13bo5bo$401bo3bo15bo3bo
$35b2o5b2o358b3o17b3o$35b2o5b2o8$228b2o367b2o$226bo3bo365bo3bo$32b2o3b
2ob2o3b2o178bo5bo13bo335bo13bo5bo3b2o$220b2o2b2obo3bo13bobo331bobo13b
o3bob2o2b2o$33bo3bo3bo3bo174b2o3bo5bo16b2o6b2o311b2o6b2o16bo5bo$34b3o
5b3o181bo3bo17b2o4bo3bo143b2o3b2o9b2o3b2o143bo3bo4b2o17bo3bo$34b3o5b3o
183b2o18b2o3bo5bo13bo279bo13bo5bo3b2o18b2o$245bobo4b2obo3bo13bobo127b
o3bo11bo3bo127bobo13bo3bob2o4bobo$245bo7bo5bo16b2o6b2o118b3o13b3o118b
2o6b2o16bo5bo7bo$33bo11bo208bo3bo17b2o4bo3bo117b3o13b3o117bo3bo4b2o17b
o3bo$32b3o9b3o112b2o9b2o84b2o18b2o3bo5bo13bo223bo13bo5bo3b2o18b2o$31b
o3bo7bo3bo111b2o9b2o101bobo4b2obo3bo13bobo219bobo13bo3bob2o4bobo$33bo
11bo227bo7bo5bo16b2o6b2o93bo11bo93b2o6b2o16bo5bo7bo$30bo5bo5bo5bo233b
o3bo17b2o4bo3bo91b3o9b3o91bo3bo4b2o17bo3bo$30bo5bo5bo5bo110bo11bo112b
2o18b2o3bo5bo13bo75bo3bo7bo3bo75bo13bo5bo3b2o18b2o$31bo3bo7bo3bo110b3o
9b3o128bobo4b2obo3bo13bobo75bo11bo75bobo13bo3bob2o4bobo$32b3o9b3o110b
o3bo7bo3bo127bo7bo5bo16b2o6b2o62bo5bo5bo5bo62b2o6b2o16bo5bo7bo$159bo11b
o138bo3bo17b2o4bo3bo61bo5bo5bo5bo61bo3bo4b2o17bo3bo$156bo5bo5bo5bo137b
2o18b2o3bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o18b2o$156bo5bo5bo5bo154b
obo4b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o4bobo$157bo3bo7bo3bo155bo7b
o5bo16b2o6b2o87b2o6b2o16bo5bo7bo$22b2o31b2o101b3o9b3o165bo3bo17b2o4bo
3bo85bo3bo4b2o17bo3bo$20bo3bo29bo3bo281b2o18b2o3bo5bo13bo55bo13bo5bo3b
2o18b2o$11bo7bo5bo9b2o5b2o9bo5bo7bo289bobo4b2obo3bo13bobo51bobo13bo3b
ob2o4bobo$11bobo4b2obo3bo9bo7bo9bo3bob2o4bobo289bo7bo5bo16b2o6b2o31b2o
6b2o16bo5bo7bo$14b2o3bo5bo10b3ob3o10bo5bo3b2o301bo3bo17b2o4bo3bo29bo3b
o4b2o17bo3bo$2o12b2o4bo3bo7b2o4bobo4b2o7bo3bo4b2o12b2o69b2o31b2o185b2o
18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$2o12b2o6b2o8bobo9bobo8b2o6b2o12b2o
67bo3bo29bo3bo200bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$11bobo20bo9bo20bob
o77bo5bo9b2o5b2o9bo5bo199bo7bo5bo10b3ob3o10bo5bo7bo$11bo22b2o7b2o22bo
72b2o2b2obo3bo9bo7bo9bo3bob2o2b2o203bo3bo7b2o4bobo4b2o7bo3bo$140b2o3b
o5bo10b3ob3o10bo5bo3b2o205b2o8bobo9bobo8b2o$11bo22b2o7b2o22bo78bo3bo7b
2o4bobo4b2o7bo3bo223bo9bo$11bobo20bo9bo20bobo80b2o8bobo9bobo8b2o225b2o
7b2o$2o12b2o6b2o8bobo9bobo8b2o6b2o12b2o81bo9bo$2o12b2o4bo3bo7b2o4bobo
4b2o7bo3bo4b2o12b2o81b2o7b2o237b2o7b2o$14b2o3bo5bo10b3ob3o10bo5bo3b2o
343bo9bo$11bobo4b2obo3bo9bo7bo9bo3bob2o4bobo92b2o7b2o225b2o8bobo9bobo
8b2o$11bo7bo5bo9b2o5b2o9bo5bo7bo92bo9bo223bo3bo7b2o4bobo4b2o7bo3bo$20b
o3bo29bo3bo89b2o8bobo9bobo8b2o202bo7bo5bo10b3ob3o10bo5bo7bo$22b2o31b2o
89bo3bo7b2o4bobo4b2o7bo3bo200bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$140b2o
3bo5bo10b3ob3o10bo5bo3b2o177b2o18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$140b
2o2b2obo3bo9bo7bo9bo3bob2o2b2o175bo3bo17b2o4bo3bo29bo3bo4b2o17bo3bo$145b
o5bo9b2o5b2o9bo5bo171bo7bo5bo16b2o6b2o31b2o6b2o16bo5bo7bo$146bo3bo29b
o3bo172bobo4b2obo3bo13bobo51bobo13bo3bob2o4bobo$32b3o9b3o101b2o31b2o157b
2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b2o$31bo3bo7bo3bo290bo3bo17b2o4bo3b
o85bo3bo4b2o17bo3bo$30bo5bo5bo5bo280bo7bo5bo16b2o6b2o87b2o6b2o16bo5bo
7bo$30bo5bo5bo5bo280bobo4b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o4bobo
$33bo11bo266b2o18b2o3bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o18b2o$31bo3b
o7bo3bo110b3o9b3o137bo3bo17b2o4bo3bo61bo5bo5bo5bo61bo3bo4b2o17bo3bo$32b
3o9b3o110bo3bo7bo3bo127bo7bo5bo16b2o6b2o62bo5bo5bo5bo62b2o6b2o16bo5bo
7bo$33bo11bo110bo5bo5bo5bo126bobo4b2obo3bo13bobo75bo11bo75bobo13bo3bo
b2o4bobo$156bo5bo5bo5bo109b2o18b2o3bo5bo13bo75bo3bo7bo3bo75bo13bo5bo3b
2o18b2o$159bo11bo110bo3bo17b2o4bo3bo91b3o9b3o91bo3bo4b2o17bo3bo$34b3o
5b3o112bo3bo7bo3bo99bo7bo5bo16b2o6b2o93bo11bo93b2o6b2o16bo5bo7bo$34b3o
5b3o113b3o9b3o100bobo4b2obo3bo13bobo219bobo13bo3bob2o4bobo$33bo3bo3bo
3bo113bo11bo84b2o18b2o3bo5bo13bo223bo13bo5bo3b2o18b2o$254bo3bo17b2o4b
o3bo117b3o13b3o117bo3bo4b2o17bo3bo$32b2o3b2ob2o3b2o198bo7bo5bo16b2o6b
2o118b3o13b3o118b2o6b2o16bo5bo7bo$159b2o9b2o73bobo4b2obo3bo13bobo127b
o3bo11bo3bo127bobo13bo3bob2o4bobo$159b2o9b2o56b2o18b2o3bo5bo13bo279bo
13bo5bo3b2o18b2o$226bo3bo17b2o4bo3bo143b2o3b2o9b2o3b2o143bo3bo4b2o17b
o3bo$225bo5bo16b2o6b2o311b2o6b2o16bo5bo3b2o$220b2o2b2obo3bo13bobo331b
obo13bo3bob2o2b2o$220b2o3bo5bo13bo335bo13bo5bo$226bo3bo365bo3bo$228b2o
367b2o2$35b2o5b2o$35b2o5b2o6$402b3o17b3o$401bo3bo15bo3bo$400bo5bo13bo
5bo$400bo5bo13bo5bo$403bo19bo$401bo3bo15bo3bo$402b3o17b3o$403bo19bo3$
400b3o21b3o$400b3o21b3o$399bo3bo19bo3bo2$398b2o3b2o17b2o3b2o14$398b3o
25b3o$397bo3bo23bo3bo$396bo5bo21bo5bo$396bo5bo21bo5bo$399bo27bo$397bo
3bo23bo3bo$398b3o25b3o$399bo27bo3$396b3o29b3o$396b3o29b3o$395bo3bo27b
o3bo2$394b2o3b2o25b2o3b2o14$394b3o33b3o$393bo3bo31bo3bo$392bo5bo29bo5b
o$392bo5bo29bo5bo$395bo35bo$393bo3bo31bo3bo$394b3o33b3o$395bo35bo3$392b
3o37b3o$392b3o37b3o$391bo3bo35bo3bo2$390b2o3b2o33b2o3b2o14$390b3o41b3o
$389bo3bo39bo3bo$388bo5bo37bo5bo$388bo5bo37bo5bo$391bo43bo$389bo3bo39b
o3bo$390b3o41b3o$391bo43bo3$388b3o45b3o$388b3o45b3o$387bo3bo43bo3bo2$
386b2o3b2o41b2o3b2o14$386b3o49b3o$385bo3bo47bo3bo$384bo5bo45bo5bo$384b
o5bo45bo5bo$387bo51bo$385bo3bo47bo3bo$386b3o49b3o$387bo51bo3$384b3o53b
3o$384b3o53b3o$383bo3bo51bo3bo2$382b2o3b2o49b2o3b2o14$382b3o57b3o$381b
o3bo55bo3bo$380bo5bo53bo5bo$380bo5bo53bo5bo$383bo59bo$381bo3bo55bo3bo
$382b3o57b3o$383bo59bo3$383b2o58b2o$383b2o58b2o!

Sober ABC · Post by **Sober ABC** » July 5th, 2026, 11:26 pm

Code: Select all

x = 14, y = 19, rule = B3/S23
2b2o$bo3bo$o5bo$o3bob2o$o5bo3b2o$bo3bo2bo3bo$2b2o3bo5bo$6b2obo3bo$2b2o
3bo5bo$bo3bo2bo3bo$o5bo3b2o$o3bob2o$o5bo3b2o$bo3bo2bo3bo$2b2o3bo5bo$6b
2obo3bo$7bo5bo$8bo3bo$10b2o!

On 3 iterations, the mdj(g)-seed sine wave was found. I just remembered that a single collision in the center is also possible. I wanted to twist (transform) this duality, the pairing in... in principle, at the third step, the embryo bounces off, but the sinusoid debris cannot be removed.

Code: Select all

x = 30, y = 30, rule = B3/S23
6$12b3o$11bo3bo$10bo5bo$10bo5bo$5b2o6bo$4bo3bo2bo3bo$3bo5bo2b3o$3bo3b
ob2o2bo3b2o$3bo5bo5bo3bo$4bo3bo5bo5bo$5b2o3bo2b2obo3bo$9b3o2bo5bo$8bo
3bo2bo3bo$10bo6b2o$7bo5bo$7bo5bo$8bo3bo$9b3o!

Code: Select all

x = 38, y = 38, rule = B3/S23
20b2o$20b2o9$19b3o$18bo3bo$17bo5bo$17bo5bo$12b2o6bo$11bo3bo2bo3bo$2o8b
o5bo2b3o$2o8bo3bob2o2bo3b2o$10bo5bo5bo3bo$11bo3bo5bo5bo$12b2o3bo2b2ob
o3bo8b2o$16b3o2bo5bo8b2o$15bo3bo2bo3bo$17bo6b2o$14bo5bo$14bo5bo$15bo3b
o$16b3o9$16b2o$16b2o!

Code: Select all

x = 18, y = 18, rule = B3/S23
10b3o$9bo3bo$8bo5bo$2b2o4bo5bo$bo3bo5bo$o5bo2bo3bo$o3bob2o2b3o$o5bo4b
o$bo3bo8b2o$2b2o8bo3bo$6bo4bo5bo$5b3o2b2obo3bo$4bo3bo2bo5bo$6bo5bo3bo
$3bo5bo4b2o$3bo5bo$4bo3bo$5b3o!

Code: Select all

x = 42, y = 24, rule = B3/S23
3$14b2o$12bo3bo$11bo5bo$6b2o2b2obo3bo$6b2o3bo5bo12b2o$12bo3bo12bo3bo$
14b2o12bo5bo$28bo3bob2o2b2o$14b2o12bo5bo3b2o$12bo3bo12bo3bo$6b2o3bo5b
o12b2o$6b2o2b2obo3bo$11bo5bo12b2o$12bo3bo12bo3bo$14b2o12bo5bo3b2o$28b
o3bob2o2b2o$28bo5bo$29bo3bo$30b2o!

Actually, the sine wave of the 3rd iteration has self-removed.

Code: Select all

x = 34, y = 51, rule = B3/S23
18b2o$18b2o3$19bo$18b3o$17bo3bo$19bo$16bo5bo$16bo5bo$17bo3bo$18b3o5$8b
2o$6bo3bo$5bo5bo$2o2b2obo3bo$2o3bo5bo12b2o$6bo3bo12bo3bo$8b2o12bo5bo$
22bo3bob2o2b2o$8b2o12bo5bo3b2o$6bo3bo12bo3bo$2o3bo5bo12b2o$2o2b2obo3b
o$5bo5bo12b2o$6bo3bo12bo3bo$8b2o12bo5bo3b2o$22bo3bob2o2b2o$22bo5bo$23b
o3bo$24b2o5$13b3o$12bo3bo$11bo5bo$11bo5bo$14bo$12bo3bo$13b3o$14bo3$14b
2o$14b2o!

Sober ABC · Post by **Sober ABC** » July 6th, 2026, 11:39 am

Sober ABC wrote: July 5th, 2026, 6:46 pm

b-engine wrote: June 25th, 2026, 6:42 pm
Sober ABC wrote: June 25th, 2026, 10:55 am
Do not completely change the contents of a quote to a completely different one.
Without the original context it's not clear what it's about.

But then the quotes get too big. So is the code. For example, I spent a couple of hours on an illustration from -1 to +1 through 0. And it, the code in the manual, has not been preserved. But the main thing is that I managed to remember... That the antiphase period is 4 to 6. Easier. Lengthened it... Shortened it... And there, beautiful repetitions (and impossibilities) loomed. No, I won't do a 6x magnification (zoom) a second time. I looked at it myself. I remembered it myself. I hope anyone who wants to will be able to repeat it themselves. "Zoom" in...

Code: Select all

 x = 607, y = 387, rule = B3/S23
382b2o58b2o$382b2o58b2o3$383bo59bo$382b3o57b3o$381bo3bo55bo3bo$383bo59b
o$380bo5bo53bo5bo$380bo5bo53bo5bo$381bo3bo55bo3bo$382b3o57b3o14$382b2o
3b2o49b2o3b2o2$383bo3bo51bo3bo$384b3o53b3o$384b3o53b3o3$387bo51bo$386b
3o49b3o$385bo3bo47bo3bo$387bo51bo$384bo5bo45bo5bo$384bo5bo45bo5bo$385b
o3bo47bo3bo$386b3o49b3o14$386b2o3b2o41b2o3b2o2$387bo3bo43bo3bo$388b3o
45b3o$388b3o45b3o3$391bo43bo$390b3o41b3o$389bo3bo39bo3bo$391bo43bo$388b
o5bo37bo5bo$388bo5bo37bo5bo$389bo3bo39bo3bo$390b3o41b3o14$390b2o3b2o33b
2o3b2o2$391bo3bo35bo3bo$392b3o37b3o$392b3o37b3o3$395bo35bo$394b3o33b3o
$393bo3bo31bo3bo$395bo35bo$392bo5bo29bo5bo$392bo5bo29bo5bo$393bo3bo31b
o3bo$394b3o33b3o14$394b2o3b2o25b2o3b2o2$395bo3bo27bo3bo$396b3o29b3o$396b
3o29b3o3$399bo27bo$398b3o25b3o$397bo3bo23bo3bo$399bo27bo$396bo5bo21bo
5bo$396bo5bo21bo5bo$397bo3bo23bo3bo$398b3o25b3o14$398b2o3b2o17b2o3b2o
2$399bo3bo19bo3bo$400b3o21b3o$400b3o21b3o3$403bo19bo$402b3o17b3o$401b
o3bo15bo3bo$403bo19bo$400bo5bo13bo5bo$400bo5bo13bo5bo$401bo3bo15bo3bo
$35b2o5b2o358b3o17b3o$35b2o5b2o8$228b2o367b2o$226bo3bo365bo3bo$32b2o3b
2ob2o3b2o178bo5bo13bo335bo13bo5bo3b2o$220b2o2b2obo3bo13bobo331bobo13b
o3bob2o2b2o$33bo3bo3bo3bo174b2o3bo5bo16b2o6b2o311b2o6b2o16bo5bo$34b3o
5b3o181bo3bo17b2o4bo3bo143b2o3b2o9b2o3b2o143bo3bo4b2o17bo3bo$34b3o5b3o
183b2o18b2o3bo5bo13bo279bo13bo5bo3b2o18b2o$245bobo4b2obo3bo13bobo127b
o3bo11bo3bo127bobo13bo3bob2o4bobo$245bo7bo5bo16b2o6b2o118b3o13b3o118b
2o6b2o16bo5bo7bo$33bo11bo208bo3bo17b2o4bo3bo117b3o13b3o117bo3bo4b2o17b
o3bo$32b3o9b3o112b2o9b2o84b2o18b2o3bo5bo13bo223bo13bo5bo3b2o18b2o$31b
o3bo7bo3bo111b2o9b2o101bobo4b2obo3bo13bobo219bobo13bo3bob2o4bobo$33bo
11bo227bo7bo5bo16b2o6b2o93bo11bo93b2o6b2o16bo5bo7bo$30bo5bo5bo5bo233b
o3bo17b2o4bo3bo91b3o9b3o91bo3bo4b2o17bo3bo$30bo5bo5bo5bo110bo11bo112b
2o18b2o3bo5bo13bo75bo3bo7bo3bo75bo13bo5bo3b2o18b2o$31bo3bo7bo3bo110b3o
9b3o128bobo4b2obo3bo13bobo75bo11bo75bobo13bo3bob2o4bobo$32b3o9b3o110b
o3bo7bo3bo127bo7bo5bo16b2o6b2o62bo5bo5bo5bo62b2o6b2o16bo5bo7bo$159bo11b
o138bo3bo17b2o4bo3bo61bo5bo5bo5bo61bo3bo4b2o17bo3bo$156bo5bo5bo5bo137b
2o18b2o3bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o18b2o$156bo5bo5bo5bo154b
obo4b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o4bobo$157bo3bo7bo3bo155bo7b
o5bo16b2o6b2o87b2o6b2o16bo5bo7bo$22b2o31b2o101b3o9b3o165bo3bo17b2o4bo
3bo85bo3bo4b2o17bo3bo$20bo3bo29bo3bo281b2o18b2o3bo5bo13bo55bo13bo5bo3b
2o18b2o$11bo7bo5bo9b2o5b2o9bo5bo7bo289bobo4b2obo3bo13bobo51bobo13bo3b
ob2o4bobo$11bobo4b2obo3bo9bo7bo9bo3bob2o4bobo289bo7bo5bo16b2o6b2o31b2o
6b2o16bo5bo7bo$14b2o3bo5bo10b3ob3o10bo5bo3b2o301bo3bo17b2o4bo3bo29bo3b
o4b2o17bo3bo$2o12b2o4bo3bo7b2o4bobo4b2o7bo3bo4b2o12b2o69b2o31b2o185b2o
18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$2o12b2o6b2o8bobo9bobo8b2o6b2o12b2o
67bo3bo29bo3bo200bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$11bobo20bo9bo20bob
o77bo5bo9b2o5b2o9bo5bo199bo7bo5bo10b3ob3o10bo5bo7bo$11bo22b2o7b2o22bo
72b2o2b2obo3bo9bo7bo9bo3bob2o2b2o203bo3bo7b2o4bobo4b2o7bo3bo$140b2o3b
o5bo10b3ob3o10bo5bo3b2o205b2o8bobo9bobo8b2o$11bo22b2o7b2o22bo78bo3bo7b
2o4bobo4b2o7bo3bo223bo9bo$11bobo20bo9bo20bobo80b2o8bobo9bobo8b2o225b2o
7b2o$2o12b2o6b2o8bobo9bobo8b2o6b2o12b2o81bo9bo$2o12b2o4bo3bo7b2o4bobo
4b2o7bo3bo4b2o12b2o81b2o7b2o237b2o7b2o$14b2o3bo5bo10b3ob3o10bo5bo3b2o
343bo9bo$11bobo4b2obo3bo9bo7bo9bo3bob2o4bobo92b2o7b2o225b2o8bobo9bobo
8b2o$11bo7bo5bo9b2o5b2o9bo5bo7bo92bo9bo223bo3bo7b2o4bobo4b2o7bo3bo$20b
o3bo29bo3bo89b2o8bobo9bobo8b2o202bo7bo5bo10b3ob3o10bo5bo7bo$22b2o31b2o
89bo3bo7b2o4bobo4b2o7bo3bo200bobo4b2obo3bo9bo7bo9bo3bob2o4bobo$140b2o
3bo5bo10b3ob3o10bo5bo3b2o177b2o18b2o3bo5bo9b2o5b2o9bo5bo3b2o18b2o$140b
2o2b2obo3bo9bo7bo9bo3bob2o2b2o175bo3bo17b2o4bo3bo29bo3bo4b2o17bo3bo$145b
o5bo9b2o5b2o9bo5bo171bo7bo5bo16b2o6b2o31b2o6b2o16bo5bo7bo$146bo3bo29b
o3bo172bobo4b2obo3bo13bobo51bobo13bo3bob2o4bobo$32b3o9b3o101b2o31b2o157b
2o18b2o3bo5bo13bo55bo13bo5bo3b2o18b2o$31bo3bo7bo3bo290bo3bo17b2o4bo3b
o85bo3bo4b2o17bo3bo$30bo5bo5bo5bo280bo7bo5bo16b2o6b2o87b2o6b2o16bo5bo
7bo$30bo5bo5bo5bo280bobo4b2obo3bo13bobo46b3o9b3o46bobo13bo3bob2o4bobo
$33bo11bo266b2o18b2o3bo5bo13bo47bo3bo7bo3bo47bo13bo5bo3b2o18b2o$31bo3b
o7bo3bo110b3o9b3o137bo3bo17b2o4bo3bo61bo5bo5bo5bo61bo3bo4b2o17bo3bo$32b
3o9b3o110bo3bo7bo3bo127bo7bo5bo16b2o6b2o62bo5bo5bo5bo62b2o6b2o16bo5bo
7bo$33bo11bo110bo5bo5bo5bo126bobo4b2obo3bo13bobo75bo11bo75bobo13bo3bo
b2o4bobo$156bo5bo5bo5bo109b2o18b2o3bo5bo13bo75bo3bo7bo3bo75bo13bo5bo3b
2o18b2o$159bo11bo110bo3bo17b2o4bo3bo91b3o9b3o91bo3bo4b2o17bo3bo$34b3o
5b3o112bo3bo7bo3bo99bo7bo5bo16b2o6b2o93bo11bo93b2o6b2o16bo5bo7bo$34b3o
5b3o113b3o9b3o100bobo4b2obo3bo13bobo219bobo13bo3bob2o4bobo$33bo3bo3bo
3bo113bo11bo84b2o18b2o3bo5bo13bo223bo13bo5bo3b2o18b2o$254bo3bo17b2o4b
o3bo117b3o13b3o117bo3bo4b2o17bo3bo$32b2o3b2ob2o3b2o198bo7bo5bo16b2o6b
2o118b3o13b3o118b2o6b2o16bo5bo7bo$159b2o9b2o73bobo4b2obo3bo13bobo127b
o3bo11bo3bo127bobo13bo3bob2o4bobo$159b2o9b2o56b2o18b2o3bo5bo13bo279bo
13bo5bo3b2o18b2o$226bo3bo17b2o4bo3bo143b2o3b2o9b2o3b2o143bo3bo4b2o17b
o3bo$225bo5bo16b2o6b2o311b2o6b2o16bo5bo3b2o$220b2o2b2obo3bo13bobo331b
obo13bo3bob2o2b2o$220b2o3bo5bo13bo335bo13bo5bo$226bo3bo365bo3bo$228b2o
367b2o2$35b2o5b2o$35b2o5b2o6$402b3o17b3o$401bo3bo15bo3bo$400bo5bo13bo
5bo$400bo5bo13bo5bo$403bo19bo$401bo3bo15bo3bo$402b3o17b3o$403bo19bo3$
400b3o21b3o$400b3o21b3o$399bo3bo19bo3bo2$398b2o3b2o17b2o3b2o14$398b3o
25b3o$397bo3bo23bo3bo$396bo5bo21bo5bo$396bo5bo21bo5bo$399bo27bo$397bo
3bo23bo3bo$398b3o25b3o$399bo27bo3$396b3o29b3o$396b3o29b3o$395bo3bo27b
o3bo2$394b2o3b2o25b2o3b2o14$394b3o33b3o$393bo3bo31bo3bo$392bo5bo29bo5b
o$392bo5bo29bo5bo$395bo35bo$393bo3bo31bo3bo$394b3o33b3o$395bo35bo3$392b
3o37b3o$392b3o37b3o$391bo3bo35bo3bo2$390b2o3b2o33b2o3b2o14$390b3o41b3o
$389bo3bo39bo3bo$388bo5bo37bo5bo$388bo5bo37bo5bo$391bo43bo$389bo3bo39b
o3bo$390b3o41b3o$391bo43bo3$388b3o45b3o$388b3o45b3o$387bo3bo43bo3bo2$
386b2o3b2o41b2o3b2o14$386b3o49b3o$385bo3bo47bo3bo$384bo5bo45bo5bo$384b
o5bo45bo5bo$387bo51bo$385bo3bo47bo3bo$386b3o49b3o$387bo51bo3$384b3o53b
3o$384b3o53b3o$383bo3bo51bo3bo2$382b2o3b2o49b2o3b2o14$382b3o57b3o$381b
o3bo55bo3bo$380bo5bo53bo5bo$380bo5bo53bo5bo$383bo59bo$381bo3bo55bo3bo
$382b3o57b3o$383bo59bo3$383b2o58b2o$383b2o58b2o!

Well, this is not exactly the task that was set in the quote. But it turned out to be a 4-year-old cannon. With a contour (the axis in one dead line) inside, not outside. Turned everything around. As it was in previous versions.

Code: Select all

x = 62, y = 35, rule = B3/S23
22b2o$20bo3bo$11bo7bo5bo$11bobo4b2obo3bo$14b2o3bo5bo12b2o$2o12b2o4bo3b
o12bo3bo$2o12b2o6b2o12bo5bo7bo$11bobo22bo3bob2o4bobo$11bo10b2o12bo5bo
3b2o$20bo3bo12bo3bo4b2o12b2o$19bo5bo12b2o6b2o12b2o$18b2obo3bo22bobo$14b
2o9bo12b2o10bo$13bo10bo12bo3bo$2b2o8bo9b2o12bo5bo$2b2o8bo3bob2o16bo3b
ob2o$12bo9b2o12bo9b2o$13bo10bo12bo10bo$14b2o9bo12b2o9bo8b2o$18b2obo3b
o16b2obo3bo8b2o$19bo5bo12b2o9bo$20bo3bo12bo10bo$11bo10b2o12bo9b2o$11b
obo22bo3bob2o$2o12b2o6b2o12bo5bo$2o12b2o4bo3bo12bo3bo$14b2o3bo5bo12b2o
10bo$11bobo4b2obo3bo22bobo$11bo7bo5bo12b2o6b2o12b2o$20bo3bo12bo3bo4b2o
12b2o$22b2o12bo5bo3b2o$36bo3bob2o4bobo$36bo5bo7bo$37bo3bo$38b2o!

Sober ABC · Post by **Sober ABC** » July 6th, 2026, 11:58 am

Code: Select all

x = 146, y = 35, rule = B3/S23
64b2o$62bo3bo$53bo7bo5bo$53bobo4b2obo3bo$39b2o15b2o3bo5bo12b2o$39b2o15b
2o4bo3bo12bo3bo$22b2o12b2o18b2o6b2o12bo5bo7bo$20bo3bo10b3o15bobo22bo3b
ob2o4bobo$11bo7bo5bo10b2o15bo10b2o12bo5bo3b2o15b2o$11bobo4b2obo3bo13b
2o21bo3bo12bo3bo4b2o15b2o$14b2o3bo5bo13b2o20bo5bo12b2o6b2o18b2o12b2o$
2o12b2o4bo3bo35b2obo3bo22bobo15b3o10bo3bo$2o12b2o6b2o32b2o9bo12b2o10b
o15b2o10bo5bo7bo$11bobo41bo10bo12bo3bo21b2o13bo3bob2o4bobo$11bo32b2o8b
o9b2o12bo5bo20b2o13bo5bo3b2o$44b2o8bo3bob2o16bo3bob2o35bo3bo4b2o12b2o
$11bo42bo9b2o12bo9b2o32b2o6b2o12b2o$11bobo41bo10bo12bo10bo41bobo$2o12b
2o6b2o32b2o9bo12b2o9bo8b2o32bo$2o12b2o4bo3bo35b2obo3bo16b2obo3bo8b2o$
14b2o3bo5bo13b2o20bo5bo12b2o9bo42bo$11bobo4b2obo3bo13b2o21bo3bo12bo10b
o41bobo$11bo7bo5bo10b2o15bo10b2o12bo9b2o32b2o6b2o12b2o$20bo3bo10b3o15b
obo22bo3bob2o35bo3bo4b2o12b2o$22b2o12b2o18b2o6b2o12bo5bo20b2o13bo5bo3b
2o$39b2o15b2o4bo3bo12bo3bo21b2o13bo3bob2o4bobo$39b2o15b2o3bo5bo12b2o10b
o15b2o10bo5bo7bo$53bobo4b2obo3bo22bobo15b3o10bo3bo$53bo7bo5bo12b2o6b2o
18b2o12b2o$62bo3bo12bo3bo4b2o15b2o$64b2o12bo5bo3b2o15b2o$78bo3bob2o4b
obo$78bo5bo7bo$79bo3bo$80b2o!

Code: Select all

x = 314, y = 87, rule = B3/S23
302bo$300bobo$290b2o6b2o$289bo3bo4b2o12b2o$273b2o13bo5bo3b2o12b2o$273b
2o13bo3bob2o4bobo$260bo15b2o10bo5bo7bo$258bobo15b3o10bo3bo$248b2o6b2o
18b2o12b2o$247bo3bo4b2o15b2o$231b2o13bo5bo3b2o15b2o$231b2o13bo3bob2o4b
obo$218bo15b2o10bo5bo7bo$216bobo15b3o10bo3bo$206b2o6b2o18b2o12b2o$205b
o3bo4b2o15b2o$189b2o13bo5bo3b2o15b2o$189b2o13bo3bob2o4bobo$176bo15b2o
10bo5bo7bo$174bobo15b3o10bo3bo$164b2o6b2o18b2o12b2o$163bo3bo4b2o15b2o
$147b2o13bo5bo3b2o15b2o$147b2o13bo3bob2o4bobo$64b2o68bo15b2o10bo5bo7b
o$62bo3bo65bobo15b3o10bo3bo$53bo7bo5bo54b2o6b2o18b2o12b2o$53bobo4b2ob
o3bo53bo3bo4b2o15b2o$39b2o15b2o3bo5bo12b2o23b2o13bo5bo3b2o15b2o$39b2o
15b2o4bo3bo12bo3bo21b2o13bo3bob2o4bobo$22b2o12b2o18b2o6b2o12bo5bo7bo15b
2o10bo5bo7bo$20bo3bo10b3o15bobo22bo3bob2o4bobo15b3o10bo3bo$11bo7bo5bo
10b2o15bo10b2o12bo5bo3b2o18b2o12b2o$11bobo4b2obo3bo13b2o21bo3bo12bo3b
o4b2o15b2o$14b2o3bo5bo13b2o20bo5bo12b2o6b2o15b2o$2o12b2o4bo3bo35b2obo
3bo22bobo$2o12b2o6b2o32b2o9bo12b2o10bo$11bobo41bo10bo12bo3bo$11bo32b2o
8bo9b2o12bo5bo$44b2o8bo3bob2o16bo3bob2o$11bo42bo9b2o12bo9b2o$11bobo41b
o10bo12bo10bo$2o12b2o6b2o32b2o9bo12b2o9bo8b2o$2o12b2o4bo3bo35b2obo3bo
16b2obo3bo8b2o$14b2o3bo5bo13b2o20bo5bo12b2o9bo$11bobo4b2obo3bo13b2o21b
o3bo12bo10bo$11bo7bo5bo10b2o15bo10b2o12bo9b2o$20bo3bo10b3o15bobo22bo3b
ob2o$22b2o12b2o18b2o6b2o12bo5bo$39b2o15b2o4bo3bo12bo3bo$39b2o15b2o3bo
5bo12b2o10bo$53bobo4b2obo3bo22bobo$53bo7bo5bo12b2o6b2o15b2o$62bo3bo12b
o3bo4b2o15b2o$64b2o12bo5bo3b2o18b2o12b2o$78bo3bob2o4bobo15b3o10bo3bo$
78bo5bo7bo15b2o10bo5bo7bo$79bo3bo21b2o13bo3bob2o4bobo$80b2o23b2o13bo5b
o3b2o15b2o$121bo3bo4b2o15b2o$122b2o6b2o18b2o12b2o$132bobo15b3o10bo3bo
$134bo15b2o10bo5bo7bo$147b2o13bo3bob2o4bobo$147b2o13bo5bo3b2o15b2o$163b
o3bo4b2o15b2o$164b2o6b2o18b2o12b2o$174bobo15b3o10bo3bo$176bo15b2o10bo
5bo7bo$189b2o13bo3bob2o4bobo$189b2o13bo5bo3b2o15b2o$205bo3bo4b2o15b2o
$206b2o6b2o18b2o12b2o$216bobo15b3o10bo3bo$218bo15b2o10bo5bo7bo$231b2o
13bo3bob2o4bobo$231b2o13bo5bo3b2o15b2o$247bo3bo4b2o15b2o$248b2o6b2o18b
2o12b2o$258bobo15b3o10bo3bo$260bo15b2o10bo5bo7bo$273b2o13bo3bob2o4bob
o$273b2o13bo5bo3b2o12b2o$289bo3bo4b2o12b2o$290b2o6b2o$300bobo$302bo!

Sober ABC · Post by **Sober ABC** » July 6th, 2026, 10:22 pm

Code: Select all

x = 116, y = 95, rule = B3/S23
62b2o$62b2o10$59b2o3b2o2$60bo3bo$61b3o$61b3o3$60bo$59b3o$58bo3bo$60bo
$57bo5bo$57bo5bo$58bo3bo$59b3o5$49b2o$47bo3bo$38bo7bo5bo$38bobo4b2obo
3bo$41b2o3bo5bo12b2o$27b2o12b2o4bo3bo12bo3bo$27b2o12b2o6b2o12bo5bo7bo
$38bobo22bo3bob2o4bobo$38bo10b2o12bo5bo3b2o$47bo3bo12bo3bo4b2o12b2o$46b
o5bo12b2o6b2o12b2o$45b2obo3bo22bobo$22b2o17b2o9bo12b2o10bo$20bo3bo15b
o10bo12bo3bo$11bo7bo5bo13bo9b2o12bo5bo$11bobo4b2obo3bo13bo3bob2o16bo3b
ob2o$14b2o3bo5bo13bo9b2o12bo9b2o17b2o$2o12b2o4bo3bo15bo10bo12bo10bo15b
o3bo$2o12b2o6b2o17b2o9bo12b2o9bo13bo5bo7bo$11bobo31b2obo3bo16b2obo3bo
13bo3bob2o4bobo$11bo34bo5bo12b2o9bo13bo5bo3b2o$47bo3bo12bo10bo15bo3bo
4b2o12b2o$38bo10b2o12bo9b2o17b2o6b2o12b2o$38bobo22bo3bob2o31bobo$27b2o
12b2o6b2o12bo5bo34bo$27b2o12b2o4bo3bo12bo3bo$41b2o3bo5bo12b2o10bo$38b
obo4b2obo3bo22bobo$38bo7bo5bo12b2o6b2o12b2o$47bo3bo12bo3bo4b2o12b2o$49b
2o12bo5bo3b2o$63bo3bob2o4bobo$63bo5bo7bo$64bo3bo$65b2o5$54b3o$53bo3bo
$52bo5bo$52bo5bo$55bo$53bo3bo$54b3o$55bo3$56b3o$56b3o$55bo3bo2$54b2o3b
2o10$56b2o$56b2o!

The gun is 3-2±2-1, but Gosper's gun combinations may be different.

Sober ABC · Post by **Sober ABC** » July 7th, 2026, 1:55 pm

But can a plane, a spaceship, fly in a spiral? Theoretically, he can't do it without garbage?

NNlk05 · Post by **NNlk05** » July 8th, 2026, 12:57 am

Sober ABC wrote: July 7th, 2026, 1:55 pm But can a plane, a spaceship, fly in a spiral? Theoretically, he can't do it without garbage?

In OCA, yes, it should be possible in Game of Life but no one had tried (yet.).

silversmith wrote: June 21st, 2026, 10:05 am A few days ago, Docsy asked
Docsy wrote: does anyone know of a pattern that escapes into infinity by growing in a spiral pattern, but leaves no trace?
After a few hours of rulegolfing, I found the following solution:
Code: Select all
x = 4, y = 8, rule = B2-ai3acr4aej5inq6ak/S12ik3kny4jtHistory
.A.A$2.A$2.A$2.A$.3A$A$A$.A!
After this, I realized there was a simpler frontend-drifter-backend set which could work better, which led to more discoveries, such as two tighter spiral tracers
Code: Select all
x = 3, y = 14, rule = B2cen3cjk4ijz5qy6-in8/S1c2-cn3-acqy4acekqz5ajnr6ac8
obo$3o$obo$obo$obo$o$o$o$o$o$o$o$o$bo!
Code: Select all
x = 3, y = 17, rule = B2cen3jk4ij5y6ack8/S1c2-cn3-ackq4aqz5jnr6aHistory
A.A$3A$A.A$A.A$A.A$A$A$A$A$A$A$A$A$A$A$A$.A!
A growing squarewave tracer:
Code: Select all
# growing squarewave graph
x = 3, y = 17, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7cHistory
A.A$3A$A.A$A.A$A.A$A$A$A$A$A$A$A$A$A$A$A$.A!
A strange oscillator whose poulation graph resembles a sine wave.
Code: Select all
x = 17, y = 3, rule = B2-ak3jk4ijz5y6ack7c8/S1c2-c3-akq4aeqwz5ajnr6ak7c
b16o$o14bo$12b5o!
And finally, an adjustable RRO:
Code: Select all
x = 48, y = 50, rule = B2-ak3cjk4ijq5cy6ack7c8/S1c2-c3-ackq4akqz5jnry6aHistory
.A$.2A35.A$.A8.2A25.A.A$.A.9A25.A.A$.A.A33.A.A$.A.A33.A$.A.A33.A$.A.A
33.A$.A.A33.A$.A.A33.A$.A.A33.A$.A.A11.2A20.A$.A.A9.3A21.A$.A.A11.2A
20.A$2.A9.2A13.A.A7.A$12.2A13.3A7.A$13.A13.A.A7.A$13.A13.A.A7.A$13.A
13.A.A7.A$13.A13.A.A7.A$13.A13.A9.A$11.A.A13.A9.A$11.A.A13.A9.A$11.A.A
13.A10.A$11.A.A13.A$11.3A13.2A$11.A.A13.2A$24.2A$25.3A$24.2A5$.A.A$.3A
$2.A$2.A.23A$4.2A19.A$11.16A8$48A$2A44.A$43.5A!

Sober ABC · Post by **Sober ABC** » July 8th, 2026, 1:15 am

Code: Select all

x = 101, y = 89, rule = B3/S23
44b2o$44bobo$46bo4b2o$42b4ob2o2bo2bo$42bo2bobobobob2o$45bobobobo$46b2o
bobo$50bo2$36b2o$37bo7b2o$37bobo5b2o$38b2o7$48b2o$48bo$49b3o$51bo$43b
2o$43bobo$45bo4b2o$41b4ob2o2bo2bo$41bo2bobobobob2o$44bobobobo$45b2obo
bo31b2o$49bo32bo$83b3o$35b2o48bo$36bo7b2o$36bobo5b2o41bo$37b2o25bo20b
3o$62b3o19bo$61bo22b2o$61b2o2$92b2o$69b2o22bo$47b2o21bo22bob2o$26b2o19b
o22bob2o11b2o4b3o2bo$3b2o22bo20b3o11b2o4b3o2bo11b2o3bo3b2o$4bo20bo24b
o11b2o3bo3b2o17b4o5b2o$2bo22b5o14b2o21b4o5b2o15bo4bobo$2b5o14b2o7bo13b
o8b2o15bo4bobo12b3o5bo$7bo13bo5b3o12bobo7bobo12b3o5bo13bo7b2o$4b3o12b
obo4bo15b2o8bo13bo7b2o14b5o$3bo15b2o5b4o21b2o14b5o22bo$3b4o17b2o3bo3b
2o11bo24bo20bo$b2o3bo3b2o11bo2b3o4b2o11b3o20bo22b2o$o2b3o4b2o11b2obo13b
2o7bo19b2o$2obo22bo13bobo5b2o$3bo22b2o12bo$3b2o2$34b2o$11b2o22bo$12bo
19b3o$9b3o20bo$9bo47bo$34bo22b3o$34b3o23bo$37bo21b2o$36b2o4$76b2o$75b
obo$69b2o4bo$46b2o14b2o5bobo2b2o$39b2o5bobo13b2o7bo$39b2o7bo22b2o$48b
2o$58bo$35bo21bobob2o$34bobob2o17bobobobo$34bobobobo13b2obobobobo2bo$
31b2obobobobo2bo10bo2bo2b2ob4o$31bo2bo2b2ob4o12b2o4bo$33b2o4bo22bobo$
39bobo21b2o$40b2o16bo$58b3o$61bo$60b2o!

The simplest and most boring solution to spiral flight is an accelerator. Arrange the turns and throttle of the glider so that it spirals. Back and forth. But this is not a complete infinity, but it will turn out to be a fixed one.

Code: Select all

x = 147, y = 136, rule = B3/S23
68b2o$68bobo$70bo4b2o$66b4ob2o2bo2bo$66bo2bobobobob2o$69bobobobo$70b2o
bobo$74bo2$60b2o$61bo7b2o$61bobo5b2o$62b2o7$72b2o$72bo$73b3o$75bo$67b
2o$67bobo$69bo4b2o$65b4ob2o2bo2bo$65bo2bobobobob2o$68bobobobo$69b2obo
bo$73bo2$59b2o$60bo7b2o$60bobo5b2o$61b2o7$71b2o$71bo$72b3o$74bo$66b2o
$66bobo$68bo4b2o$64b4ob2o2bo2bo$64bo2bobobobob2o$67bobobobo$68b2obobo
$72bo2$58b2o$59bo7b2o64bo$59bobo5b2o41bo20b3o$60b2o25bo20b3o19bo$85b3o
19bo22b2o$84bo22b2o$84b2o$138b2o$115b2o22bo$92b2o22bo22bob2o$70b2o21b
o22bob2o11b2o4b3o2bo$49b2o19bo22bob2o11b2o4b3o2bo11b2o3bo3b2o$26b2o22b
o20b3o11b2o4b3o2bo11b2o3bo3b2o17b4o5b2o$3b2o22bo20bo24bo11b2o3bo3b2o17b
4o5b2o15bo4bobo$4bo20bo22b5o14b2o21b4o5b2o15bo4bobo12b3o5bo$2bo22b5o14b
2o7bo13bo8b2o15bo4bobo12b3o5bo13bo7b2o$2b5o14b2o7bo13bo5b3o12bobo7bob
o12b3o5bo13bo7b2o14b5o$7bo13bo5b3o12bobo4bo15b2o8bo13bo7b2o14b5o22bo$
4b3o12bobo4bo15b2o5b4o21b2o14b5o22bo20bo$3bo15b2o5b4o17b2o3bo3b2o36bo
20bo22b2o$3b4o17b2o3bo3b2o11bo2b3o4b2o34bo22b2o$b2o3bo3b2o11bo2b3o4b2o
11b2obo13b2o27b2o$o2b3o4b2o11b2obo22bo13bobo$2obo22bo22b2o12bo$3bo22b
2o$3b2o$57b2o$34b2o22bo$11b2o22bo19b3o$12bo19b3o20bo$9b3o20bo$9bo47bo
$57b3o$60bo$59b2o7$69b2o20bo$62b2o5bobo19b3o$62b2o7bo22bo$71b2o20b2o2$
58bo$57bobob2o$57bobobobo$54b2obobobobo2bo43b2o$54bo2bo2b2ob4o42bobo$
56b2o4bo40b2o4bo$62bobo31b2o5bobo2b2o$63b2o31b2o7bo$56bo48b2o$56b3o$59b
o32bo$58b2o31bobob2o$91bobobobo$88b2obobobobo2bo$88bo2bo2b2ob4o$90b2o
4bo$96bobo$97b2o$68b2o22bo$61b2o5bobo21b3o$61b2o7bo24bo$70b2o22b2o2$57b
o$56bobob2o$56bobobobo$53b2obobobobo2bo$53bo2bo2b2ob4o$55b2o4bo$61bob
o$62b2o$57bo$57b3o$60bo$59b2o!

The theory was confirmed. It turned out to be easy to create an endless spiral loop.

Code: Select all

x = 239, y = 228, rule = B3/S23
116b2o$116bobo$118bo4b2o$114b4ob2o2bo2bo$114bo2bobobobob2o$117bobobob
o$118b2obobo$122bo2$108b2o$109bo7b2o$109bobo5b2o$110b2o7$120b2o$120bo
$121b3o$123bo$115b2o$115bobo$117bo4b2o$113b4ob2o2bo2bo$113bo2bobobobo
b2o$116bobobobo$117b2obobo$121bo2$107b2o$108bo7b2o$108bobo5b2o$109b2o
7$119b2o$119bo$120b3o$122bo$114b2o$114bobo$116bo4b2o$112b4ob2o2bo2bo$
112bo2bobobobob2o$115bobobobo$116b2obobo$120bo2$106b2o$107bo7b2o$107b
obo5b2o$108b2o7$118b2o$118bo$119b3o$121bo$113b2o$113bobo$115bo4b2o$111b
4ob2o2bo2bo$111bo2bobobobob2o$114bobobobo$115b2obobo$119bo2$105b2o$106b
o7b2o$106bobo5b2o$107b2o7$117b2o$117bo$118b3o$120bo$112b2o$112bobo$114b
o4b2o$110b4ob2o2bo2bo$110bo2bobobobob2o$113bobobobo$114b2obobo$118bo$
225bo$104b2o96bo20b3o$105bo7b2o64bo20b3o19bo$105bobo5b2o41bo20b3o19bo
22b2o$106b2o25bo20b3o19bo22b2o$131b3o19bo22b2o$130bo22b2o75b2o$130b2o
75b2o22bo$184b2o22bo22bob2o$161b2o22bo22bob2o11b2o4b3o2bo$138b2o22bo22b
ob2o11b2o4b3o2bo11b2o3bo3b2o$116b2o21bo22bob2o11b2o4b3o2bo11b2o3bo3b2o
17b4o5b2o$95b2o19bo22bob2o11b2o4b3o2bo11b2o3bo3b2o17b4o5b2o15bo4bobo$
72b2o22bo20b3o11b2o4b3o2bo11b2o3bo3b2o17b4o5b2o15bo4bobo12b3o5bo$49b2o
22bo20bo24bo11b2o3bo3b2o17b4o5b2o15bo4bobo12b3o5bo13bo7b2o$26b2o22bo20b
o22b5o14b2o21b4o5b2o15bo4bobo12b3o5bo13bo7b2o14b5o$3b2o22bo20bo22b5o14b
2o7bo13bo8b2o15bo4bobo12b3o5bo13bo7b2o14b5o22bo$4bo20bo22b5o14b2o7bo13b
o5b3o12bobo7bobo12b3o5bo13bo7b2o14b5o22bo20bo$2bo22b5o14b2o7bo13bo5b3o
12bobo4bo15b2o8bo13bo7b2o14b5o22bo20bo22b2o$2b5o14b2o7bo13bo5b3o12bob
o4bo15b2o5b4o21b2o14b5o22bo20bo22b2o$7bo13bo5b3o12bobo4bo15b2o5b4o17b
2o3bo3b2o36bo20bo22b2o$4b3o12bobo4bo15b2o5b4o17b2o3bo3b2o11bo2b3o4b2o
34bo22b2o$3bo15b2o5b4o17b2o3bo3b2o11bo2b3o4b2o11b2obo13b2o27b2o$3b4o17b
2o3bo3b2o11bo2b3o4b2o11b2obo22bo13bobo$b2o3bo3b2o11bo2b3o4b2o11b2obo22b
o22b2o12bo$o2b3o4b2o11b2obo22bo22b2o$2obo22bo22b2o$3bo22b2o75b2o$3b2o
75b2o22bo$57b2o22bo19b3o$34b2o22bo19b3o20bo$11b2o22bo19b3o20bo$12bo19b
3o20bo47bo$9b3o20bo70b3o$9bo96bo$105b2o7$115b2o$108b2o5bobo$108b2o7bo
$117b2o2$104bo$103bobob2o$103bobobobo$100b2obobobobo2bo$100bo2bo2b2ob
4o$102b2o4bo$108bobo$109b2o$102bo$102b3o$105bo$104b2o6$159bo$114b2o43b
3o$107b2o5bobo45bo$107b2o7bo44b2o$116b2o2$103bo$102bobob2o$102bobobob
o69b2o$99b2obobobobo2bo65bobo$99bo2bo2b2ob4o59b2o4bo$101b2o4bo56b2o5b
obo2b2o$107bobo54b2o7bo$108b2o63b2o$101bo$101b3o56bo$104bo54bobob2o$103b
2o54bobobobo$156b2obobobobo2bo$156bo2bo2b2ob4o$158b2o4bo$164bobo$165b
2o$160bo$113b2o45b3o$106b2o5bobo47bo$106b2o7bo46b2o$115b2o2$102bo$101b
obob2o$101bobobobo$98b2obobobobo2bo$98bo2bo2b2ob4o$100b2o4bo$106bobo$
107b2o$100bo$100b3o$103bo$102b2o7$112b2o$105b2o5bobo$105b2o7bo$114b2o
2$101bo$100bobob2o$100bobobobo$97b2obobobobo2bo$97bo2bo2b2ob4o$99b2o4b
o$105bobo$106b2o$101bo$101b3o$104bo$103b2o!

Code: Select all

 x = 261, y = 261, rule = B3/S23
237b2o5b2o$233b2o2b2o5b2o2b2o$233b2o13b2o9$b2o$b2o2$15b2o$2o13bobo7b2o
209b3o5b3o$2o13bob2o6b2o209bo2b2ob2o2bo$16b2o219b3o3b3o$16bo221bo5bo2$
16bo$16b2o$2o13bob2o$2o13bobo$15b2o$244b2o$b2o241b2o$b2o19$191b2o5b2o
$187b2o2b2o5b2o2b2o$187b2o13b2o9$47b2o$47b2o2$61b2o$46b2o13bobo7b2o117b
3o5b3o$46b2o13bob2o6b2o117bo2b2ob2o2bo$62b2o127b3o3b3o$62bo129bo5bo2$
62bo$62b2o$46b2o13bob2o$46b2o13bobo$61b2o$198b2o$47b2o149b2o$47b2o19$
145b2o5b2o$141b2o2b2o5b2o2b2o$141b2o13b2o9$93b2o$93b2o2$107b2o$92b2o13b
obo7b2o25b3o5b3o$92b2o13bob2o6b2o25bo2b2ob2o2bo$108b2o35b3o3b3o$108bo
37bo5bo2$108bo$108b2o$92b2o13bob2o$92b2o13bobo$107b2o$152b2o$93b2o57b
2o$93b2o20$133bo2bo$132bo$132bo3bo121b2o$107b2o23b4o122b2o$107b2o$244b
2o$243bobo13b2o$242b2obo13b2o$243b2o$244bo2$108bo5bo129bo$107b3o3b3o127b
2o$106bo2b2ob2o2bo117b2o6b2obo13b2o$106b3o5b3o117b2o7bobo13b2o$244b2o
2$258b2o$258b2o9$103b2o13b2o$103b2o2b2o5b2o2b2o$107b2o5b2o19$166b2o$61b
2o103b2o$61b2o$152b2o$151bobo13b2o$150b2obo13b2o$151b2o$152bo2$62bo5b
o83bo$61b3o3b3o81b2o$60bo2b2ob2o2bo71b2o6b2obo13b2o$60b3o5b3o71b2o7bo
bo13b2o$152b2o2$166b2o$166b2o9$57b2o13b2o$57b2o2b2o5b2o2b2o$61b2o5b2o
19$212b2o$15b2o195b2o$15b2o$198b2o$197bobo13b2o$196b2obo13b2o$197b2o$
198bo2$16bo5bo175bo$15b3o3b3o173b2o$14bo2b2ob2o2bo163b2o6b2obo13b2o$14b
3o5b3o163b2o7bobo13b2o$198b2o2$212b2o$212b2o9$11b2o13b2o$11b2o2b2o5b2o
2b2o$15b2o5b2o!

Sober ABC · Post by **Sober ABC** » July 12th, 2026, 12:58 am

In my work as a novelist, in addition to mdj(g)-seed, I have an arithmetic problem on how to divide infinity equally. The online community stumbled upon a children's puzzle with a philosophical name. I have never received a correct answer on the Russian-language Q&A forums. And giving a ready answer to viewers and readers is not fair in front of mathematics. So I decided to translate the condition of this task into all languages of the world. And it turns out that the Yandex automatic translator does not have an adverb whose name begins with the letter J. And suddenly it dawned on me. Eureka! It is necessary to translate Conway's Life into the game code!

The simplest infinity. I called it finished and straight infinity. It only lives for three iterations.

Code: Select all

x = 19, y = 1, rule = B3/S23
4ob4ob4ob4o!

This type of infinity is average or cyclic. It can also be called ring infinity.

It has a period of 80 and how many first iterations are unique... I didn't cheat. I took screenshots of something in the photo, where four of the three vertical lines are in the entire space. This is a topic for a separate analysis. It will be in a separate article in Russian. I'm wondering why the four lines don't repeat themselves in a circle...

damn it! THIS IS NOT THE CORRECT VERSION OF INFINITY. AND NOT THE RING, AND NOT THE MOST DIFFICULT!

Code: Select all

x = 24, y = 1, rule = B3/S23:T24,3
4ob4ob4ob4ob4o!

It's an infinity named Сircle. And he lives on one iteration of balshe, but completely withdraws himself.

Code: Select all

x = 20, y = 3, rule = B3/S23:T20,5
$4ob4ob4ob4o!

The most difficult infinity.

Code: Select all

x = 29, y = 1, rule = B3/S23:T29,3
4ob4ob4ob4ob4ob4o!

This means that the most difficult option lasted only 18 iterations. But the extreme segments add up to a length of 8 pixels, but in fact it should be any length. It should be endless. But we make 3 pixels on one side and 4 on the other. And the option of a ring, hoop, torus confuses me very much. Eh... I would like to make a 2x2 option around the edges...

Code: Select all

x = 20, y = 1, rule = B3/S23:T20,3
2ob4ob4ob4ob2o!

Code: Select all

x = 27, y = 1, rule = B3/S23:T27,3
4ob4ob4ob4ob4ob4o!

Code: Select all

x = 27, y = 3, rule = B3/S23:T27,3
4bo4bo4bo4bo4bo$4bo4bo4bo4bo4bo$4bo4bo4bo4bo4bo!

NNlk05 · Post by **NNlk05** » July 12th, 2026, 2:55 am

Sober ABC wrote: July 8th, 2026, 1:15 am *snip*
The simplest and most boring solution to spiral flight is an accelerator. Arrange the turns and throttle of the glider so that it spirals. Back and forth. But this is not a complete infinity, but it will turn out to be a fixed one.
*snip*

See spiral growth, it seems like what you are looking for:

Code: Select all

x = 926, y = 877, rule = B3/S23
442b2o$442b2o6$471b2o$471b2o6$411b2o$411bobo$413bo4b2o$409b4ob2o2bo2b
o$409bo2bobobobob2o$412bobobobo38b2o$413b2obobo37bobo$417bo38bo$455b2o
$403b2o$404bo7b2o$404bobo5b2o$405b2o2$476b2o$476bo$477b3o$479bo2$415b
2o$415bo3bo4bobo$416b4o5b2o33b2o$420b2o3bo33bobo$418b2o2bo36bo$419bob
2o35b2o$413b2o4bo37bo8b2o9b2o$411bo2bo2b2ob5o32b3o6b2o5b2o2bobo$411b2o
bobobobo2bo36bo12bobobo2bo$414bobobobo4bo27b2o4b2o14bobob2o$414bobob2o
4b2o28bo19b2obo$415bo38bobo20bob2o$455b2o20bobo2bo$419bo8b2o42b2o4bo2b
2o$418b3o7bo29b2o11bo2bo$417b5o4bobo28bo2bo11b2o4bo2b2o$416bo5bo3b2o30b
obo2b2o12bobo2bo$415b2o2bo2b2o35bo2b2o13bob2o$389b2o23b3obobob3o39bo9b
2obo$388bobo24b2o2bo2b2o51bobob2o$390bo31bo27b2o5b2o14bobobo2bo$421bo
28bo2bobo2bo14b2o2bobo$452b2ob3o19b2o$416b2o36bo$413bo3bo36bob2o$413b
4o38bobo$411b2o$410bo2b2o$410b2obo$413bo4b2o$408b5ob2o2bo2bo$409bo2bo
bobobob2o32bobo$407bo4bobobobo36b2o$407b2o4b2obobo36bo$417bo2$403b2o32b
2o$404bo7b2o22b2o$404bobo5b2o24bo$405b2o3$388bo$364b3o21bobo99b2o$366b
o21b2o100bobo$365bo124bo$415b2o$415bo3bo$416b4o$420b2o$403b2o13b2o2bo
$402bobo14bob2o$404bo8b2o4bo$411bo2bo2b2ob5o$411b2obobobobo2bo$414bob
obobo4bo52bobo$414bobob2o4b2o53b2o$415bo63bo2$428b2o30b2o$419b2o7bo31b
obo$419b2o5bobo31bo$426b2o2$366bo$365bo$365b3o77bo66b3o$446bo65bo$423b
2o19b3o66bo$416b2o5bobo$413bo3bo5bo$413b4o$411b2o$410bo2b2o$402bo7b2o
bo$401bo11bo4b2o$401b3o4b5ob2o2bo2bo$409bo2bobobobob2o$329b2o44b2o30b
o4bobobobo$328bobo45b2o29b2o4b2obobo$330bo44bo41bo2$403b2o78b2o$404bo
7b2o68b2o$404bobo5b2o70bo$405b2o2$343bo168bo$343bobo164bobo$343b2o166b
2o23b2o$535b2o$445b3o22bo66bo$415b2o28bo25bo$415bo3bo26bo22b3o$416b4o
$420b2o$418b2o2bo5bo$419bob2o6b2o$401bo11b2o4bo8b2o$401b2o8bo2bo2b2ob
5o$400bobo8b2obobobobo2bo$414bobobobo4bo$414bobob2o4b2o$415bo$373bo132b
o$371b2o55b2o75b2o$372b2o45b2o7bo76bobo$419b2o5bobo$426b2o2$297b2o236b
o$296bobo237bo$298bo19bo215b3o21b3o$318bobo237bo$318b2o239bo$416b2o$337b
2o74bo3bo77bo$338b2o73b4o76bobo$337bo73b2o60b2o19b2o$410bo2b2o36bo20b
2o$410b2obo38b2o20bo$413bo4b2o31b2o$408b5ob2o2bo2bo$399bo9bo2bobobobo
b2o$398bo8bo4bobobobo$398b3o6b2o4b2obobo$417bo$349bobo$349b2o52b2o31b
3o90b2o$350bo53bo7b2o22bo92bobo$369b2o33bobo5b2o23bo91bo$368bobo34b2o
$370bo2$581b2o$295bobo283bobo$295b2o263bo20bo$296bo264b2o$415b2o143b2o
$415bo3bo$416b4o$420b2o73b3o$403b3o12b2o2bo5bo66bo$405bo13bob2o6b2o44b
o20bo$404bo8b2o4bo8b2o46b2o$411bo2bo2b2ob5o50b2o$376bo34b2obobo3bo2bo
$376bobo35bobobobo4bo$376b2o36bobob2o4b2o$258b2o155bo$257bobo66bobo$259b
o66b2o100b2o122b2o$327bo91bo8bo122b2o$419b2o5bobo124bo$426b2o$413bo$412b
o$342bo69b3o$295b2o45b2o261b2o$294bobo44bobo260b2o$296bo309bo$416b2o52b
2o$413bo3bo52bobo$268bo144b4o53bo$266b2o143b2o106b2o$267b2o141bo2b2o103b
2o$410b2obo106bo$413bo4b2o33bo92bo$408b5ob2o2bo2bo32b2o91bo45bo$409bo
2bobobobob2o31b2o90b3o43bobo$352bo54bo4bobobobo173b2o$351bo55b2o4b2ob
obo16bo$304bo46b3o19b2o42bo16b2o67bobo$303bo68bobo59bobo67b2o69bo$303b
3o68bo28b2o99bo69b2o$404bo7b2o160bobo$231bo172bobo5b2o$231b2o172b2o$230b
obo157bo$390bobo$390b2o$627b3o$271bo150bo204bo$271b2o150b2o203bo$270b
obo142b2o5b2o$415bo3bo$244bobo169b4o$244b2o174b2o119b3o$245bo172b2o2b
o75bo42bo$310b2o107bob2o74b2o43bo$311b2o100b2o4bo77bobo$310bo100bo2bo
2b2ob5o$411b2obobobobo2bo$398b2o14bobobobo4bo144bobo$399b2o13bobob2o4b
2o100bo44b2o$282bo115bo16bo111b2o42bo$280b2o201bo42b2o69b2o$281b2o145b
2o54bo112bobo$419b2o7bo53b3o112bo$208b2o209b2o5bobo$207bobo216b2o$209b
o$343bo76bo206bo$343b2o74b2o45b2o160bo22bo$342bobo74bobo44bobo157b3o21b
2o$318bo147bo183bobo$316b2o$317b2o97b2o$223bo189bo3bo$221b2o190b4o$222b
2o187b2o$410bo2b2o105b2o$357bo52b2obo106bobo$286bo68b2o56bo4b2o100bo$
286b2o68b2o50b5ob2o2bo2bo$285bobo121bo2bobobobob2o$399bo7bo4bobobobo$
397b2o8b2o4b2obobo$235b3o160b2o17bo178bo$237bo19bobo198bobo44bo91b2o21b
2o$236bo20b2o112b2o30b2o54b2o45b2o88b2o21b2o$258bo113b2o30bo54bo45b2o
114bo$371bo32bobo$184b2o219b2o6bo$185b2o225bobo$184bo135b2o89b2ob2o26b
2o$321b2o89bo2bo26bobo43b3o89b3o$320bo92b2o27bo45bo91bo$294bo194bo91b
o$294bobo$294b2o119b2o$199bobo213bo3bo$199b2o215b4o$200bo219b2o$418b2o
2bo$333bo85bob2o120b3o20bobo90bo$333bobo77b2o4bo123bo23b2o91b2o$333b2o
76bo2bo2b2ob5o119bo22bo91b2o$411b2obobobobo2bo261b2o$414bobobobo4bo258b
2o$375bo38bobob2o4b2o260bo$235bo137b2o40bo227bo$234bo139b2o245bo20b2o
$234b3o191b2o98bobo88bobo20bobo$419b2o7bo100b2o89b2o$419b2o5bobo100bo
$426b2o$252b2o$251bobo350bo$253bo349b2o$272bo330bobo$156b2o113bo114bo
$155bobo113b3o19b2o91b2o$b2o154bo20bo113bobo90bobo28b2o98b2o$b2o173b2o
116bo118bo3bo97b2o$177b2o234b4o100bo$335b2o74b2o$311bo22bobo73bo2b2o35b
obo114bo$310bo25bo73b2obo37b2o113b2o$310b3o100bo4b2o31bo48bo65bobo$408b
5ob2o2bo2bo76bobo182bobo$409bo2bobobobob2o77b2o183b2o$407bo4bobobobo59b
3o203bo$351bobo53b2o4b2obobo59bo$189b2o160b2o64bo61bo185b2o$188bobo161b
o244bo46bo19b2o$190bo212b2o193b2o45bo20bo$404bo7b2o183b2o44b3o$392bo11b
obo5b2o$207bobo181bo13b2o$207b2o182b3o$208bo19b2o396b2o$229b2o395bobo
$228bo21bo375bo$133b3o112b2o113b2o$135bo113b2o111bobo57bobo$134bo229b
o50b2o6b2o113b3o$415bo3bo3bo114bo185b2o$416b4o119bo184bobo$151bo268b2o
302bo$150bo137bo22bo106b2o2bo27b3o136b2o$150b3o135bobo20b2o106bob2o27b
o138bobo$288b2o20bobo100b2o4bo31bo69bobo65bo$411bo2bo2b2ob5o97b2o$411b
2obobobobo2bo54bo43bo184bobo$329bo84bobobobo4bo53b2o227b2o$328bo85bob
ob2o4b2o52b2o228bo$328b3o84bo271b3o$687bo$164b2o262b2o258bo$163bobo253b
2o7bo$165bo20bo232b2o5bobo149bo$184b2o240b2o148bobo46bo$185b2o390b2o44b
obo$413bo210b2o$411b2o$412b2o3$416b2o144b2o$413bo3bo143b2o$413b4o146b
o184b2o$128bo137bo144b2o335bobo$128bobo111bo22bo114b2o28bo2b2o242b3o88b
o$128b2o112b2o21b3o65b2o46b2o27b2obo243bo$241bobo88bobo20bo24bo32bo4b
2o238bo$193b2o139bo20bobo50b5ob2o2bo2bo$100b2o90bobo21bo138b2o52bo2bo
bobobob2o$99bobo92bo19b2o191bo4bobobobo268bo$101bo113b2o88bo101b2o4b2o
bobo266bobo22b2o$305bobo109bo268b2o22bobo20bobo$305b2o403bo23b2o$403b
2o329bo$404bo7b2o24b2o45bo$139bo22bobo239bobo5b2o23b2o45b2o113bobo21b
2o$139b2o21b2o112b2o127b2o32bo44bobo21bobo43bobo43b2o21bobo21bo$138bo
bo22bo113b2o230b2o44b2o43bo22bo24b2o$276bo232bo45bo91b2o5$415b2o121b3o
43b3o$415bo3bo118bo45bo$106bo309b4o119bo45bo184b3o$105bo314b2o51bo206b
2o88bo$105b3o111b2o159bo22b2o13b2o2bo51b2o204bobo88bo$220b2o88b2o67bo
24b2o13bob2o50b2o205bo$219bo89bobo20bobo44b3o21bo9b2o4bo$311bo20b2o77b
o2bo2b2ob5o$77b3o112bo140bo77b2obobobobo2bo$79bo112bobo219bobobobo4bo
$78bo113b2o88bobo129bobob2o4b2o285bo20b3o$282b2o131bo293bobo20bo$283b
o426b2o21bo$164b3o261b2o330bo$140bo25bo252b2o7bo31b3o295bobo$139bo25b
o180b3o70b2o5bobo31bo46b3o22bo113b2o111b2o$115b2o22b3o206bo77b2o33bo45b
o25bo111b2o$116b2o229bo160bo22b3o46bo66bo$115bo135b2o328bo$252b2o325b
3o92bo$226bo24bo423bo$226bobo399bobo42b3o$226b2o218bo182b2o$416b2o29b
2o180bo$413bo3bo28b2o$84bo328b4o$82b2o327b2o290b2o$83b2o325bo2b2o14bo
136b2o134b2o$311bo98b2obo14b2o135b2o137bo$309b2o102bo4b2o8bobo68bo67b
o$193b2o115b2o96b5ob2o2bo2bo78b2o$169bobo20bobo89bo124bo2bobobobob2o77b
2o$169b2o23bo89b2o121bo4bobobobo381b3o$170bo112bobo111bobo7b2o4b2obob
o381bo$397b2o18bo340bo42bo73bo$372b2o24bo337bo20b2o114b3o$373b2o28b2o
329bobo20bobo112bo$117bo22b2o113bo116bo31bo7b2o255bo65b2o135b2o$117bo
bo19bobo113bobo146bobo5b2o254b2o$117b2o22bo113b2o148b2o261bobo$91b2o787b
2o$92b2o250bo189b2o345bo$91bo112bo114bo22b2o189b2o346bob2o$203bo22b2o
91b2o22b2o144b3o43bo92b2o67bo175b2o4b3o2bo$203b3o19bobo90bobo168bo138b
obo67b2o173b2o3bo3b2o$227bo262bo69bobo65bo25bo42b2o179b4o$407b2o6b2o144b
2o89bobo209b2o15bo$408b2o5bo145bo91b2o208bobo12b3o$407bo8b3o444bo13bo
$418bo306b3o134b2o14b5o$588b3o134bo156bo$419bobo6bobo13bo45bo45bo45bo
5bo39bo45bo45bo5bo39bo31bo13bo67bo$287bo130bob2o7b2o11b3o43b3o43b3o43b
3o6bo36b3o43b3o43b3o43b3o29bobo11b3o67b2o$285b2o125b2o4bo10bo11bo45bo
45bo45bo45bo45bo45bo45bo33b2o10bo$147bo138b2o122bo2bo2b2ob5o17b2o44b2o
36bo7b2o44b2o44b2o44b2o44b2o44b2o44b2o13bo$145b2o263b2obobobobo2bo24b
2o44b2o28bobo13b2o44b2o44b2o44b2o44b2o44b2o44b2o6b2o$146b2o265bobobob
o4bo22bo2bo30bo11bo2bo27b2o13bo2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo
42bo2bo4bobo$413bobob2o4b2o24b2o8bo19bobo13b2o44b2o44b2o44b2o44b2o44b
2o44b2o7b2o35b2o$165b3o246bo35bob2o4b2o20b2o14bob2o42bob2o42bob2o42bo
b2o42bob2o42bob2o42bob2o3b2o37bob2o$167bo282bobobo3bobo11b2o22bobobo17b
2o22bobobo17b2o22bobobo17b2o15bo6bobobo17b2o22bobobo17b2o22bobobo17b2o
22bobobo4bo12b2o22bobobo17b2o$166bo260b2o13b2o4b3o3bo17bo15b2o4b3o3bo
17bo15b2o4b3o3bo17bo15b2o4b3o3bo17bo15bo6b2o3bo17bo15b2o4b3o3bo6b2o9b
o15b2o4b3o3bo17bo11b3o7b3o3bo17bo15b2o4b3o3bo17bo$418b2o7bo2b2o10b2o3b
o3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo
13b2o3b2o2b3ob2o17bo13b2o3bo3b3ob2o4bobo10bo13b2o3bo3b3ob2o17bo8bo2bo
6bo3b3ob2o17bo13b2o3bo3b3ob2o17bo$32bo13bo31bo45bo45bo45bo13bo31bo45b
o45bo45bo17b2o5bobo3bo15b4o2bobo14b5o18b4o2bobo14b5o18b4o2bobo14b5o18b
4o2bobo14b5o18b2obo2bobo14b5o18b4o2bobo5bo8b5o18b4o2bobo14b5o8bob2o6b
4o2bobo14b5o18b4o2bobo14b5o$32b3o10bo32b3o43b3o43b3o43b3o11bobo29b3o43b
3o43b3o43b3o22b2o4bob2o15bo4bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b2o15b
o4bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b2o3bo11bo4bo13b
o9b2o15bo4bo13bo$35bo9b3o19b3o11bo45bo45bo45bo10b2o33bo45bo45bo45bo25b
2obobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b
3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b
3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o$34b2o33bo10b2o44b2o44b2o44b
2o44b2o44b2o44b2o7bobo34b2o24bo3bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b
2o15bo4bo13bo9b2o15bo4bo13bo9b2o4bo10bo4bo13bo9b2o15bo4bo13bo9b2o15bo
4bo13bo9b2o15bo4bo13bo9b2o15bo$28b2o38bo5b2o12bo31b2o44b2o44b2o44b2o44b
2o44b2o13b2o29b2o29bo2b3o14b5o18b4o2bobo14b5o18b4o2bobo14b5o18b4o2bob
o14b5o18b4o2bobo5bobo6b5o8b2o8b4o2bobo14b5o18b2obo2bobo14b5o18b4o2bob
o14b5o18b4o2bobo14b5o18b4o$26bo2bo42bo2bo11bo30bo2bo42bo2bo42bo2bo42b
o2bo42bo2bo42bo2bo14bo27bo2bo29b3o21bo13b2o3bo3b3ob2o17bo13b2o3bo3b3o
b2o17bo8b3o2b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o4b2o11bo9b3o2bo3bo3b3ob2o
17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo
3b2o$26b2o44b2o13b3o19b2o7b2o44b2o44b2o44b2o9bo34b2o44b2o44b2o34bo18b
o15b2o4b3o3bo17bo15b2o4b3o3bo17bo12bo2b2o4b3o3bo4bobo10bo15b2o4b3o3bo
7bo9bo12b2o2bo4b3o3bo4bo12bo15bo5b3o3bo4bobo10bo15b2o4b3o3bo17bo15b2o
4b3o3bo17bo15b2o4b3o2bo$23b2obo42b2obo35bobo4b2obo42b2obo42b2obo35b3o
4b2obo9b3o30b2obo42b2obo35b3o4b2obo34b2o18b2o22bobobo17b2o22bobobo17b
2o10bo11bobobo4b2o11b2o22bobobo17b2o22bobobo4bobo10b2o22bobobo4b2o11b
2o22bobobo17b2o22bobobo17b2o22bob2o$3b2o17bobobo22b2o17bobobo22b2o13b
o3bobobo22b2o17bobobo22b2o17bobobo22b2o13bo3bobobo8b5o9b2o17bobobo22b
2o17bobobo22b2o13bo3bobobo20b2o56bob2o42bob2o42bob2o6bo35bob2o42bob2o
5b2o35bob2o6bo19bo15bob2o42bob2o42bo$4bo17bo3b3o4b2o15bo17bo3b3o4b2o15b
o17bo3bob2ob3o16bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo12bo4bo3b3o5b2o3b2o
9bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo12bo4bo3b3o4b2o13bo55b2o44b2o44b2o
44b2o44b2o44b2o29b2o13b2o44b2o44b2o$2bo17b2ob3o3bo3b2o13bo17b2ob3o3bo
3b2o13bo17b2ob3o7bo14bo17b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b2ob3o
3bo3b3o3b3o6bo17b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o10b
3o54bo2bo42bo2bo42bo2bo27b2o13bo2bo42bo2bo42bo2bo28bobo11bo2bo42bo2bo
$2b5o14bobo2b4o18b5o14bobo2b4o18b5o14bobo2b2o3bo3b2o11b5o14bobo2b4o18b
5o14bobo2b4o18b5o14bobo2b4o4b2o3b3o6b5o14bobo2b4o18b5o14bobo2b4o18b5o
14bobo2b4o15bo56b2o44b2o44b2o28bobo13b2o44b2o44b2o44b2o44b2o$7bo13bo4b
o15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo
13bo4bo8b5ob3o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2obo12b3o35b
2o44b2o44b2o36bo7b2o44b2o44b2o44b2o44b2o44b2o$4b3o12bobo5b3o12bobo5b3o
12bobo5b3o12bobo5b3o12bobo5b2obo2bo8bobo5b3o12bobo5b3o12bobo5b3o12bob
o5b3o12bobo5b3o12bobo5b3o6b3o3bobo5b3o12bobo5b3o12bobo5b3o12bobo5b3o12b
obo5b3o12bobo5b3o12bobob2o10bo4bo32bo45bo45bo45bo45bo45bo45bo45bo45bo
$3bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo6bo6bo4bo15b2o9bo13bo4bo15b
2o9bo13bo4bo15b2o9bo6bo6bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13b
o2bo11bo3bo7b2o24b3o43b3o43b3o43b3o43b3o43b3o43b3o43b3o43b3o$3b4o18b5o
14bobo2b4o18b5o14bobo2b4o18b5o5bobo6bobo2b4o18b5o14bobo2b4o18b5o14bob
o2b4o18b5o14bobo2b4o18b5o14bobo2b4o18b5o14bobo2b4o18b5o14b2o25bobo25b
o45bo45bo45bo45bo45bo45bo45bo45bo$b2o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b
2ob3o3bo3b2o13bo10b2o5b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b2ob3o3bo
3b2o13bo17b2ob3o3bo3b2o13bo13bo3b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo35b
o2b2o7bo329bo45b3o$o2b3o4b2o15bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo17bo3b
3o4b2o15bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo9bobo5bo3b3o
4b2o4b2o9bo17bo3b3o4b2o15bo37bo7b2o328b2o46bo$2obo22b2o17bobobo22b2o17b
obobo22b2o17bobobo13b2o7b2o17bobobo22b2o17bobobo22b2o17bobobo22b2o10b
2o5bobobo11b2o9b2o17bobobo22b2o35bobo59b2o275bobo45bo$3bo42b2obo42b2o
bo42b2obo12b2o28b2obo42b2obo42b2obo42b2obo13bo28b2obo56b2o62bobo20bob
o$3b2o44b2o44b2o44b2o13bo30b2o44b2o44b2o44b2o44b2o54bo5bo60bo20b2o$49b
o2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo52bobo3bo82bo$51b
2o44b2o44b2o44b2o14b2o28b2o44b2o44b2o44b2o49b2obobobo4bo6b2o21bo321bo
$11b2o44b2o44b2o44b2o33bo10b2o7b2o35b2o44b2o44b2o44b2o43bo2bo2b2ob4o7b
2o19bo206b2o113bo$12bo45bo45bo45bo31bobo11bo9bo35bo45bo45bo45bo45b2o4b
o10bo21b3o203bobo66bobo44b3o$9b3o43b3o43b3o43b3o33b2o8b3o43b3o43b3o43b
3o43b3o52bobo189bo48bo66b2o$9bo45bo45bo45bo45bo45bo45bo45bo45bo39bo15b
2o166bo22b2o115bo$94bobo318bobo181b2o22bobo$73b2o20b2o319b2o12bo169b2o
89bo$73bobo19bo332b3o120bo137b2o$73bo353bo122bo139b2o$121b3o303b2o121b
3o88bobo$53bobo65bo117bo401b2o$54b2o66bo114bobo21b3o44b2o214bo45b2o70b
o$54bo183b2o21bo25bo19b2o215b2o45b2o$262bo25bo20bo213bobo44bo$286b3o2$
417b2o$416bobo5b2o322b2o$416bo7b2o321bobo$155bo206b2o51b2o332bo$156b2o
203b2o46b2o380bo$155b2o206bo45bobo17bo361b2o$409bo9b2o4b2obobo359bobo
$227b3o189bo4bobobobo265b2o$205bobo19bo193bo2bobobobob2o54bo160b3o43b
obo66bo$206b2o20bo191b5ob2o2bo2bo53bo163bo45bo65bo$206bo218bo4b2o9bo45b
3o111b2o47bo112b3o$422b2obo13b2o161b2o$349bo72bo2b2o13b2o159bo112bo$350b
o72b2o289bobo$97b2o249b3o45bo28b4o285b2o$96b2o299b2o26bo3bo190bo$77bo
20bo297b2o30b2o188b2o$78bo181bobo193bo162b2o$76b3o182b2o193b2o43b2o21b
o22b3o112bo$261bo193bobo42bobo21bobo22bo112bobo$126bo184bo190bo21b2o22b
o113b2o$127b2o180bobo$126b2o182b2o254bobo$438b2o126b2o$292bo44b2o92b2o
5bobo126bo157b3o$291b2o43b2o93b2o7bo286bo$291bobo44bo101b2o284bo$768b
2o$427bo341b2o$426bobob2o4b2o330bo$158b3o68bo159b2o35bobobobo4bo189b2o
44b3o$158bo71bo157b2o33b2obobobobo2bo29bo160bobo46bo$159bo68b3o159bo32b
o2bo2b2ob5o28bobo160bo45bo$425b2o4bo33b2o$431bob2o$372bo57b2o2bo$189b
o183bo58b2o$190bo180b3o54b4o$188b3o22b2o212bo3bo165bo$212b2o69bo143b2o
166b2o$99bobo112bo69b2o310b2o$100b2o181b2o239b3o112bobo$100bo425bo112b
2o$332bobo89bobo98bo114bo$333b2o90b2o48bo22bobo$333bo91bo49b2o21b2o227b
o$417b2o55bobo22bo227bobo$131bo229bo54bobo5b2o138b2o136b2o23b2o$130b2o
228b2o54bo7b2o139b2o134bobo$130bobo227bobo52b2o147bo138bo42bo$317b2o427b
2o$316b2o111bo315bobo$274bo43bo100b2o4b2obobo$252bo20b2o144bo4bobobob
o173b3o$250bobo20bobo145bo2bobobobob2o8bobo161bo$251b2o167b5ob2o2bo2b
o8b2o89bobo69bo$425bo4b2o11bo89b2o$422b2obo108bo$422bo2b2o218b2o$166b
o229bo26b2o221b2o$164bobo230bo27b4o216bo$165b2o228b3o27bo3bo$123bo67b
2o235b2o$124bo65b2o310b2o$122b3o67bo308bobo$240b2o261bo$239b2o$241bo$
566bo$438b2o102bo22bo$315bo45bo69b2o5bobo8b2o91b2o21b3o111b3o$313bobo
43bobo69b2o7bo9b2o89bobo65bo71bo$314b2o44b2o78b2o7bo158bo71bo$608b3o111b
3o$427bo224bo71bo$158b2o68bo45bo151bobob2o4b2o213bo71bo$158bobo68bo45b
o68bo81bobobobo4bo213b3o$158bo68b3o43b3o67b2o78b2obobobobo2bo$343bobo
77bo2bo2b2ob5o$425b2o4bo$431bob2o142b2o44bo$188bo241b2o2bo141bobo44b2o
$189bo242b2o144bo43bobo$187b3o238b4o$427bo3bo$213b3o204bobo4b2o$213bo
207b2o501b2o$214bo94bo111bo80bo421b2o$308b2o190b2o$308bobo190b2o$149b
obo113b2o$150b2o112b2o186bo90bo$150bo115bo70bo45bo33b2o31b2o90bo114b2o
$338bo45bo21b2o8bobo5b2o25b2o89b3o111bobo$336b3o43b3o20b2o9bo7b2o161b
o70bo$407bo7b2o99b3o66b2o$518bo67b2o$429bo87bo$251bo167b2o4b2obobo243b
o$249bobo167bo4bobobobo35b2o206bobo$182b3o65b2o169bo2bobobobob2o33b2o
205b2o$182bo237b5ob2o2bo2bo32bo158bo$183bo117bo123bo4b2o192bo$299bobo
120b2obo128b3o67b3o$300b2o120bo2b2o129bo$423b2o130bo$425b4o168b2o$425b
o3bo168b2o$236b3o136b2o51b2o167bo$236bo137b2o$237bo93b2o43bo$330b2o98b
3o$332bo96bo3bo$288b2o138bo5bo$288bobo138bo3bo$288bo70bo70b3o5b2o$360b
2o76bobo$359b2o79bo$440b2o74bobo44bo$516b2o43b2o67bo$427bo89bo44b2o66b
2o43b3o$227bo198bobob2o4b2o6bo184bobo45bo$228b2o45bo150bobobobo4bo6b2o
230bo$227b2o47bo146b2obobobobo2bo7bobo$274b3o146bo2bo2b2ob5o$425b2o4b
o31bobo66b2o$431bob2o28b2o66bobo$430b2o2bo29bo68bo$212bo219b2o141bo68b
o$211b2o215b4o143b2o66bo$211bobo213bo3bo142bobo66b3o$427b2o$423bo$355b
o65bobo169bo$354b2o66b2o168bo$354bobo119bo115b3o$476b2o$196bobo276bob
o$197b2o184bo33b2o$197bo183bobo22b2o8bobo5b2o$382b2o21b2o9bo7b2o$407b
o7b2o$270b3o334b2o$270bo158bo176bobo$271bo147b2o4b2obobo177bo$419bo4b
obobobo$421bo2bobobobob2o$420b5ob2o2bo2bo214b2o$425bo4b2o217b2o$325bo
96b2obo222bo$324b2o96bo2b2o80b3o$234b2o88bobo96b2o84bo42b2o$234bobo188b
4o79bo42bobo$234bo190bo3bo97bo25bo$428b2o96bo$526b3o$353bobo122bo$309b
o44b2o75bobo44bobo89bo44bo$310b2o42bo24b2o50b2o45b2o88b2o44bo$309b2o68b
obo50bo136b2o43b3o$221bo157bo$219bobo216b2o$220b2o209b2o5bobo$431b2o7b
o$440b2o$584bo$427bo156b2o$426bobob2o4b2o145bobo$298bo127bobobobo4bo$
297b2o124b2obobobobo2bo190bo$297bobo123bo2bo2b2ob5o189b2o$425b2o4bo193b
obo$431bob2o4b2o44b2o$430b2o2bo5b2o42bobo$257b2o158bobo12b2o5bo46bo42b
2o$256b2o160b2o8b4o98b2o$258bo159bo8bo3bo97bo$427b2o2$286bo67b2o$287b
o45bo19b2o$285b3o43bobo21bo47bo49bo$243bo88b2o68b2o48bo45bobo$244bo157b
obo47b3o43b2o$242b3o172b2o80bo$416bobo5b2o115bo$416bo7b2o114bo$415b2o
123b3o$561b2o$429bo132b2o$419b2o4b2obobo130bo$419bo4bobobobo$391bo29b
o2bobobobob2o$389bobo28b5ob2o2bo2bo168b3o$390b2o33bo4b2o172bo$422b2ob
o177bo$422bo2b2o$423b2o$281b2o142b4o$280b2o143bo3bo28bo$282bo145b2o28b
2o112bo$457bobo42b2o67bo$355bo77bo67bobo67b3o$356bo77bo68bo$354b3o70b
2o2bo2b2o$266bo114bo44b3obobob3o$264bobo113b2o45b2o2bo2b2o$265b2o113b
obo45bo5bo3b2o$429b5o4bobo$430b3o7bo$431bo8b2o74bo$516bobo$427bo88b2o
$426bobob2o4b2o$426bobobobo4bo$412bobo8b2obobobobo2bo30bo113bo$413b2o
8bo2bo2b2ob5o27b2o114b2o$413bo11b2o4bo33b2o112bobo$431bob2o$430b2o2bo
$327bo104b2o$325bobo100b4o96b2o$326b2o99bo3bo3b2o92b2o$307bo119b2o5bo
bo91bo$306b2o128bo42b2o$306bobo68bo102b2o66bo$378b2o99bo66b2o$377b2o168b
2o$403b2o$402b2o$404bo12b2o$359b3o54bobo5b2o$291bobo65bo56bo7b2o$292b
2o66bo54b2o$292bo$429bo$419b2o4b2obobo$419bo4bobobobo59bo$421bo2bobob
obob2o54b2o67b2o$420b5ob2o2bo2bo55b2o67b2o$425bo4b2o125bo$422b2obo$422b
o2b2o$423b2o$425b4o$425bo3bo$428b2o$456bo$331b2o22bo74b3o23b2o$330b2o
24bo72bo3bo21bobo$332bo21b3o71bo5bo64b3o21bo$428bo5bo66bo19b2o$428bo5b
o65bo21b2o$429bo3bo4b2o$430b3o5bobo$440bo$317bo122b2o$315bobo$316b2o109b
o$411bo14bobob2o4b2o$412b2o12bobobobo4bo$411b2o10b2obobobobo2bo$423bo
2bo2b2ob5o96b3o$425b2o4bo103bo$431bob2o27bobo69bo$430b2o2bo27b2o$432b
2o29bo$428b4o$427bo3bo$427b2o$433b2o$378bo53bobo$356bo19bobo55bo$355b
2o20b2o$355bobo2$405b2o10b2o$404b2o10bobo5b2o$406bo9bo7b2o$338bobo74b
2o$339b2o$339bo89bo38bo$419b2o4b2obobo37b2o$419bo4bobobobo36bobo$421b
o2bobobobob2o77bo$420b5ob2o2bo2bo77b2o$425bo4b2o78bobo$422b2obo$422bo
2b2o$423b2o$425b4o$425bo3bo$428b2o2$430b3o$400bobo26bo3bo$401b2o25bo5b
o$401bo26bo5bo$380b3o45bo5bo$380bo48bo3bo4b2o$381bo48b3o5bobo$440bo$440b
2o2$427bo17b2o$426bobob2o4b2o6bobo$426bobobobo4bo8bo$423b2obobobobo2b
o52b2o$423bo2bo2b2ob5o50bobo$368bobo54b2o4bo57bo$369b2o60bob2o27bobo$
369bo60b2o2bo27b2o$432b2o29bo$428b4o$427bo3bo$427b2o2$424bo$425bo$423b
3o3$417b2o$416bobo5b2o$416bo7b2o$415b2o2$429bo$419b2o4b2obobo$419bo4b
obobobo$421bo2bobobobob2o$391bo28b5ob2o2bo2bo$392b2o31bo4b2o$391b2o29b
2obo$422bo2b2o$423b2o$425b4o$425bo3bo$428b2o3$425bo$424b2o27b3o$424bo
bo28bo$454bo$438b2o$431b2o5bobo$431b2o7bo$440b2o2$427bo$426bobob2o4b2o
$426bobobobo4bo$423b2obobobobo2bo$423bo2bo2b2ob5o$415bo9b2o4bo$416b2o
13bob2o$415b2o13b2o2bo$432b2o$428b4o$427bo3bo$427b2o7$417b2o$416bobo5b
2o$416bo7b2o$415b2o2$429bo$419b2o4b2obobo$419bo4bobobobo$421bo2bobobo
bob2o$420b5ob2o2bo2bo$425bo4b2o$422b2obo$422bo2b2o$423b2o$425b4o$425b
o3bo$428b2o7$438b2o$431b2o5bobo$431b2o7bo$440b2o2$427bo$426bobob2o$426b
obobobo$425b2obobobo2bo$426bo2b2ob4o$426bo4bo$427b3obo2b2o$429b2o3b2o
17$435b2o$435b2o!

Sober ABC · Post by **Sober ABC** » July 12th, 2026, 4:21 am

Oh, yes, the double snail. I've already been shown it. I've already drawn a single snail. It remains to twist it in a spiral back and forth - with a 180-degree rotation of the torso. But that's not the main point. The main thing would be to find a suitable spiral, but, for example, this is not possible in rules 3/23. We found a ship flying at an angle of not 45 degrees...

Sober ABC · Post by **Sober ABC** » July 12th, 2026, 9:28 am

Sober ABC wrote: July 12th, 2026, 12:58 am In my work as a novelist, in addition to mdj(g)-seed, I have an arithmetic problem on how to divide infinity equally. The online community stumbled upon a children's puzzle with a philosophical name. I have never received a correct answer on the Russian-language Q&A forums. And giving a ready answer to viewers and readers is not fair in front of mathematics. So I decided to translate the condition of this task into all languages of the world. And it turns out that the Yandex automatic translator does not have an adverb whose name begins with the letter J. And suddenly it dawned on me. Eureka! It is necessary to translate Conway's Life into the game code!

The simplest infinity. I called it finished and straight infinity. It only lives for three iterations.
Code: Select all
x = 19, y = 1, rule = B3/S23
4ob4ob4ob4o!
This type of infinity is average or cyclic. It can also be called ring infinity.

It has a period of 80 and how many first iterations are unique... I didn't cheat. I took screenshots of something in the photo, where four of the three vertical lines are in the entire space. This is a topic for a separate analysis. It will be in a separate article in Russian. I'm wondering why the four lines don't repeat themselves in a circle...

damn it! THIS IS NOT THE CORRECT VERSION OF INFINITY. AND NOT THE RING, AND NOT THE MOST DIFFICULT!
Code: Select all
x = 24, y = 1, rule = B3/S23:T24,3
4ob4ob4ob4ob4o!
It's an infinity named Сircle. And he lives on one iteration of balshe, but completely withdraws himself.
Code: Select all
x = 20, y = 3, rule = B3/S23:T20,4
$4ob4ob4ob4o!
The most difficult infinity.
Code: Select all
x = 29, y = 1, rule = B3/S23:T29,3
4ob4ob4ob4ob4ob4o!
This means that the most difficult option lasted only 18 iterations. But the extreme segments add up to a length of 8 pixels, but in fact it should be any length. It should be endless. But we make 3 pixels on one side and 4 on the other. And the option of a ring, hoop, torus confuses me very much. Eh... I would like to make a 2x2 option around the edges...
Code: Select all
x = 20, y = 1, rule = B3/S23:T20,3
2ob4ob4ob4ob2o!
Code: Select all
x = 27, y = 1, rule = B3/S23:T27,3
4ob4ob4ob4ob4ob4o!
Code: Select all
x = 27, y = 3, rule = B3/S23:T27,3
4bo4bo4bo4bo4bo$4bo4bo4bo4bo4bo$4bo4bo4bo4bo4bo!

I can't seem to find the right answer. Help me? How can I arrange the cuts in rectangle 3 on the nth number so that they repeat themselves periodically? They exist as starting cartridges. Do they exist as intermittent, intermediate patterns? In my opinion, the analysis is reasonable... They self-destruct! But maybe I haven't tried enough?

THIS IS A VALID CONCLUSION... It seems that in the conveyor life, infinity is done and only unequally!

Sober ABC · Post by **Sober ABC** » July 12th, 2026, 10:32 am

NNlk05 wrote: July 12th, 2026, 2:55 am

Sober ABC wrote: July 8th, 2026, 1:15 am *snip*
The simplest and most boring solution to spiral flight is an accelerator. Arrange the turns and throttle of the glider so that it spirals. Back and forth. But this is not a complete infinity, but it will turn out to be a fixed one.
*snip*

See spiral growth, it seems like what you are looking for:

Code: Select all

x = 926, y = 877, rule = B3/S23
442b2o$442b2o6$471b2o$471b2o6$411b2o$411bobo$413bo4b2o$409b4ob2o2bo2b
o$409bo2bobobobob2o$412bobobobo38b2o$413b2obobo37bobo$417bo38bo$455b2o
$403b2o$404bo7b2o$404bobo5b2o$405b2o2$476b2o$476bo$477b3o$479bo2$415b
2o$415bo3bo4bobo$416b4o5b2o33b2o$420b2o3bo33bobo$418b2o2bo36bo$419bob
2o35b2o$413b2o4bo37bo8b2o9b2o$411bo2bo2b2ob5o32b3o6b2o5b2o2bobo$411b2o
bobobobo2bo36bo12bobobo2bo$414bobobobo4bo27b2o4b2o14bobob2o$414bobob2o
4b2o28bo19b2obo$415bo38bobo20bob2o$455b2o20bobo2bo$419bo8b2o42b2o4bo2b
2o$418b3o7bo29b2o11bo2bo$417b5o4bobo28bo2bo11b2o4bo2b2o$416bo5bo3b2o30b
obo2b2o12bobo2bo$415b2o2bo2b2o35bo2b2o13bob2o$389b2o23b3obobob3o39bo9b
2obo$388bobo24b2o2bo2b2o51bobob2o$390bo31bo27b2o5b2o14bobobo2bo$421bo
28bo2bobo2bo14b2o2bobo$452b2ob3o19b2o$416b2o36bo$413bo3bo36bob2o$413b
4o38bobo$411b2o$410bo2b2o$410b2obo$413bo4b2o$408b5ob2o2bo2bo$409bo2bo
bobobob2o32bobo$407bo4bobobobo36b2o$407b2o4b2obobo36bo$417bo2$403b2o32b
2o$404bo7b2o22b2o$404bobo5b2o24bo$405b2o3$388bo$364b3o21bobo99b2o$366b
o21b2o100bobo$365bo124bo$415b2o$415bo3bo$416b4o$420b2o$403b2o13b2o2bo
$402bobo14bob2o$404bo8b2o4bo$411bo2bo2b2ob5o$411b2obobobobo2bo$414bob
obobo4bo52bobo$414bobob2o4b2o53b2o$415bo63bo2$428b2o30b2o$419b2o7bo31b
obo$419b2o5bobo31bo$426b2o2$366bo$365bo$365b3o77bo66b3o$446bo65bo$423b
2o19b3o66bo$416b2o5bobo$413bo3bo5bo$413b4o$411b2o$410bo2b2o$402bo7b2o
bo$401bo11bo4b2o$401b3o4b5ob2o2bo2bo$409bo2bobobobob2o$329b2o44b2o30b
o4bobobobo$328bobo45b2o29b2o4b2obobo$330bo44bo41bo2$403b2o78b2o$404bo
7b2o68b2o$404bobo5b2o70bo$405b2o2$343bo168bo$343bobo164bobo$343b2o166b
2o23b2o$535b2o$445b3o22bo66bo$415b2o28bo25bo$415bo3bo26bo22b3o$416b4o
$420b2o$418b2o2bo5bo$419bob2o6b2o$401bo11b2o4bo8b2o$401b2o8bo2bo2b2ob
5o$400bobo8b2obobobobo2bo$414bobobobo4bo$414bobob2o4b2o$415bo$373bo132b
o$371b2o55b2o75b2o$372b2o45b2o7bo76bobo$419b2o5bobo$426b2o2$297b2o236b
o$296bobo237bo$298bo19bo215b3o21b3o$318bobo237bo$318b2o239bo$416b2o$337b
2o74bo3bo77bo$338b2o73b4o76bobo$337bo73b2o60b2o19b2o$410bo2b2o36bo20b
2o$410b2obo38b2o20bo$413bo4b2o31b2o$408b5ob2o2bo2bo$399bo9bo2bobobobo
b2o$398bo8bo4bobobobo$398b3o6b2o4b2obobo$417bo$349bobo$349b2o52b2o31b
3o90b2o$350bo53bo7b2o22bo92bobo$369b2o33bobo5b2o23bo91bo$368bobo34b2o
$370bo2$581b2o$295bobo283bobo$295b2o263bo20bo$296bo264b2o$415b2o143b2o
$415bo3bo$416b4o$420b2o73b3o$403b3o12b2o2bo5bo66bo$405bo13bob2o6b2o44b
o20bo$404bo8b2o4bo8b2o46b2o$411bo2bo2b2ob5o50b2o$376bo34b2obobo3bo2bo
$376bobo35bobobobo4bo$376b2o36bobob2o4b2o$258b2o155bo$257bobo66bobo$259b
o66b2o100b2o122b2o$327bo91bo8bo122b2o$419b2o5bobo124bo$426b2o$413bo$412b
o$342bo69b3o$295b2o45b2o261b2o$294bobo44bobo260b2o$296bo309bo$416b2o52b
2o$413bo3bo52bobo$268bo144b4o53bo$266b2o143b2o106b2o$267b2o141bo2b2o103b
2o$410b2obo106bo$413bo4b2o33bo92bo$408b5ob2o2bo2bo32b2o91bo45bo$409bo
2bobobobob2o31b2o90b3o43bobo$352bo54bo4bobobobo173b2o$351bo55b2o4b2ob
obo16bo$304bo46b3o19b2o42bo16b2o67bobo$303bo68bobo59bobo67b2o69bo$303b
3o68bo28b2o99bo69b2o$404bo7b2o160bobo$231bo172bobo5b2o$231b2o172b2o$230b
obo157bo$390bobo$390b2o$627b3o$271bo150bo204bo$271b2o150b2o203bo$270b
obo142b2o5b2o$415bo3bo$244bobo169b4o$244b2o174b2o119b3o$245bo172b2o2b
o75bo42bo$310b2o107bob2o74b2o43bo$311b2o100b2o4bo77bobo$310bo100bo2bo
2b2ob5o$411b2obobobobo2bo$398b2o14bobobobo4bo144bobo$399b2o13bobob2o4b
2o100bo44b2o$282bo115bo16bo111b2o42bo$280b2o201bo42b2o69b2o$281b2o145b
2o54bo112bobo$419b2o7bo53b3o112bo$208b2o209b2o5bobo$207bobo216b2o$209b
o$343bo76bo206bo$343b2o74b2o45b2o160bo22bo$342bobo74bobo44bobo157b3o21b
2o$318bo147bo183bobo$316b2o$317b2o97b2o$223bo189bo3bo$221b2o190b4o$222b
2o187b2o$410bo2b2o105b2o$357bo52b2obo106bobo$286bo68b2o56bo4b2o100bo$
286b2o68b2o50b5ob2o2bo2bo$285bobo121bo2bobobobob2o$399bo7bo4bobobobo$
397b2o8b2o4b2obobo$235b3o160b2o17bo178bo$237bo19bobo198bobo44bo91b2o21b
2o$236bo20b2o112b2o30b2o54b2o45b2o88b2o21b2o$258bo113b2o30bo54bo45b2o
114bo$371bo32bobo$184b2o219b2o6bo$185b2o225bobo$184bo135b2o89b2ob2o26b
2o$321b2o89bo2bo26bobo43b3o89b3o$320bo92b2o27bo45bo91bo$294bo194bo91b
o$294bobo$294b2o119b2o$199bobo213bo3bo$199b2o215b4o$200bo219b2o$418b2o
2bo$333bo85bob2o120b3o20bobo90bo$333bobo77b2o4bo123bo23b2o91b2o$333b2o
76bo2bo2b2ob5o119bo22bo91b2o$411b2obobobobo2bo261b2o$414bobobobo4bo258b
2o$375bo38bobob2o4b2o260bo$235bo137b2o40bo227bo$234bo139b2o245bo20b2o
$234b3o191b2o98bobo88bobo20bobo$419b2o7bo100b2o89b2o$419b2o5bobo100bo
$426b2o$252b2o$251bobo350bo$253bo349b2o$272bo330bobo$156b2o113bo114bo
$155bobo113b3o19b2o91b2o$b2o154bo20bo113bobo90bobo28b2o98b2o$b2o173b2o
116bo118bo3bo97b2o$177b2o234b4o100bo$335b2o74b2o$311bo22bobo73bo2b2o35b
obo114bo$310bo25bo73b2obo37b2o113b2o$310b3o100bo4b2o31bo48bo65bobo$408b
5ob2o2bo2bo76bobo182bobo$409bo2bobobobob2o77b2o183b2o$407bo4bobobobo59b
3o203bo$351bobo53b2o4b2obobo59bo$189b2o160b2o64bo61bo185b2o$188bobo161b
o244bo46bo19b2o$190bo212b2o193b2o45bo20bo$404bo7b2o183b2o44b3o$392bo11b
obo5b2o$207bobo181bo13b2o$207b2o182b3o$208bo19b2o396b2o$229b2o395bobo
$228bo21bo375bo$133b3o112b2o113b2o$135bo113b2o111bobo57bobo$134bo229b
o50b2o6b2o113b3o$415bo3bo3bo114bo185b2o$416b4o119bo184bobo$151bo268b2o
302bo$150bo137bo22bo106b2o2bo27b3o136b2o$150b3o135bobo20b2o106bob2o27b
o138bobo$288b2o20bobo100b2o4bo31bo69bobo65bo$411bo2bo2b2ob5o97b2o$411b
2obobobobo2bo54bo43bo184bobo$329bo84bobobobo4bo53b2o227b2o$328bo85bob
ob2o4b2o52b2o228bo$328b3o84bo271b3o$687bo$164b2o262b2o258bo$163bobo253b
2o7bo$165bo20bo232b2o5bobo149bo$184b2o240b2o148bobo46bo$185b2o390b2o44b
obo$413bo210b2o$411b2o$412b2o3$416b2o144b2o$413bo3bo143b2o$413b4o146b
o184b2o$128bo137bo144b2o335bobo$128bobo111bo22bo114b2o28bo2b2o242b3o88b
o$128b2o112b2o21b3o65b2o46b2o27b2obo243bo$241bobo88bobo20bo24bo32bo4b
2o238bo$193b2o139bo20bobo50b5ob2o2bo2bo$100b2o90bobo21bo138b2o52bo2bo
bobobob2o$99bobo92bo19b2o191bo4bobobobo268bo$101bo113b2o88bo101b2o4b2o
bobo266bobo22b2o$305bobo109bo268b2o22bobo20bobo$305b2o403bo23b2o$403b
2o329bo$404bo7b2o24b2o45bo$139bo22bobo239bobo5b2o23b2o45b2o113bobo21b
2o$139b2o21b2o112b2o127b2o32bo44bobo21bobo43bobo43b2o21bobo21bo$138bo
bo22bo113b2o230b2o44b2o43bo22bo24b2o$276bo232bo45bo91b2o5$415b2o121b3o
43b3o$415bo3bo118bo45bo$106bo309b4o119bo45bo184b3o$105bo314b2o51bo206b
2o88bo$105b3o111b2o159bo22b2o13b2o2bo51b2o204bobo88bo$220b2o88b2o67bo
24b2o13bob2o50b2o205bo$219bo89bobo20bobo44b3o21bo9b2o4bo$311bo20b2o77b
o2bo2b2ob5o$77b3o112bo140bo77b2obobobobo2bo$79bo112bobo219bobobobo4bo
$78bo113b2o88bobo129bobob2o4b2o285bo20b3o$282b2o131bo293bobo20bo$283b
o426b2o21bo$164b3o261b2o330bo$140bo25bo252b2o7bo31b3o295bobo$139bo25b
o180b3o70b2o5bobo31bo46b3o22bo113b2o111b2o$115b2o22b3o206bo77b2o33bo45b
o25bo111b2o$116b2o229bo160bo22b3o46bo66bo$115bo135b2o328bo$252b2o325b
3o92bo$226bo24bo423bo$226bobo399bobo42b3o$226b2o218bo182b2o$416b2o29b
2o180bo$413bo3bo28b2o$84bo328b4o$82b2o327b2o290b2o$83b2o325bo2b2o14bo
136b2o134b2o$311bo98b2obo14b2o135b2o137bo$309b2o102bo4b2o8bobo68bo67b
o$193b2o115b2o96b5ob2o2bo2bo78b2o$169bobo20bobo89bo124bo2bobobobob2o77b
2o$169b2o23bo89b2o121bo4bobobobo381b3o$170bo112bobo111bobo7b2o4b2obob
o381bo$397b2o18bo340bo42bo73bo$372b2o24bo337bo20b2o114b3o$373b2o28b2o
329bobo20bobo112bo$117bo22b2o113bo116bo31bo7b2o255bo65b2o135b2o$117bo
bo19bobo113bobo146bobo5b2o254b2o$117b2o22bo113b2o148b2o261bobo$91b2o787b
2o$92b2o250bo189b2o345bo$91bo112bo114bo22b2o189b2o346bob2o$203bo22b2o
91b2o22b2o144b3o43bo92b2o67bo175b2o4b3o2bo$203b3o19bobo90bobo168bo138b
obo67b2o173b2o3bo3b2o$227bo262bo69bobo65bo25bo42b2o179b4o$407b2o6b2o144b
2o89bobo209b2o15bo$408b2o5bo145bo91b2o208bobo12b3o$407bo8b3o444bo13bo
$418bo306b3o134b2o14b5o$588b3o134bo156bo$419bobo6bobo13bo45bo45bo45bo
5bo39bo45bo45bo5bo39bo31bo13bo67bo$287bo130bob2o7b2o11b3o43b3o43b3o43b
3o6bo36b3o43b3o43b3o43b3o29bobo11b3o67b2o$285b2o125b2o4bo10bo11bo45bo
45bo45bo45bo45bo45bo45bo33b2o10bo$147bo138b2o122bo2bo2b2ob5o17b2o44b2o
36bo7b2o44b2o44b2o44b2o44b2o44b2o44b2o13bo$145b2o263b2obobobobo2bo24b
2o44b2o28bobo13b2o44b2o44b2o44b2o44b2o44b2o44b2o6b2o$146b2o265bobobob
o4bo22bo2bo30bo11bo2bo27b2o13bo2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo
42bo2bo4bobo$413bobob2o4b2o24b2o8bo19bobo13b2o44b2o44b2o44b2o44b2o44b
2o44b2o7b2o35b2o$165b3o246bo35bob2o4b2o20b2o14bob2o42bob2o42bob2o42bo
b2o42bob2o42bob2o42bob2o3b2o37bob2o$167bo282bobobo3bobo11b2o22bobobo17b
2o22bobobo17b2o22bobobo17b2o15bo6bobobo17b2o22bobobo17b2o22bobobo17b2o
22bobobo4bo12b2o22bobobo17b2o$166bo260b2o13b2o4b3o3bo17bo15b2o4b3o3bo
17bo15b2o4b3o3bo17bo15b2o4b3o3bo17bo15bo6b2o3bo17bo15b2o4b3o3bo6b2o9b
o15b2o4b3o3bo17bo11b3o7b3o3bo17bo15b2o4b3o3bo17bo$418b2o7bo2b2o10b2o3b
o3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo
13b2o3b2o2b3ob2o17bo13b2o3bo3b3ob2o4bobo10bo13b2o3bo3b3ob2o17bo8bo2bo
6bo3b3ob2o17bo13b2o3bo3b3ob2o17bo$32bo13bo31bo45bo45bo45bo13bo31bo45b
o45bo45bo17b2o5bobo3bo15b4o2bobo14b5o18b4o2bobo14b5o18b4o2bobo14b5o18b
4o2bobo14b5o18b2obo2bobo14b5o18b4o2bobo5bo8b5o18b4o2bobo14b5o8bob2o6b
4o2bobo14b5o18b4o2bobo14b5o$32b3o10bo32b3o43b3o43b3o43b3o11bobo29b3o43b
3o43b3o43b3o22b2o4bob2o15bo4bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b2o15b
o4bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b2o3bo11bo4bo13b
o9b2o15bo4bo13bo$35bo9b3o19b3o11bo45bo45bo45bo10b2o33bo45bo45bo45bo25b
2obobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b
3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b
3o5bobo12b3o5bobo12b3o5bobo12b3o5bobo12b3o$34b2o33bo10b2o44b2o44b2o44b
2o44b2o44b2o44b2o7bobo34b2o24bo3bo13bo9b2o15bo4bo13bo9b2o15bo4bo13bo9b
2o15bo4bo13bo9b2o15bo4bo13bo9b2o4bo10bo4bo13bo9b2o15bo4bo13bo9b2o15bo
4bo13bo9b2o15bo4bo13bo9b2o15bo$28b2o38bo5b2o12bo31b2o44b2o44b2o44b2o44b
2o44b2o13b2o29b2o29bo2b3o14b5o18b4o2bobo14b5o18b4o2bobo14b5o18b4o2bob
o14b5o18b4o2bobo5bobo6b5o8b2o8b4o2bobo14b5o18b2obo2bobo14b5o18b4o2bob
o14b5o18b4o2bobo14b5o18b4o$26bo2bo42bo2bo11bo30bo2bo42bo2bo42bo2bo42b
o2bo42bo2bo42bo2bo14bo27bo2bo29b3o21bo13b2o3bo3b3ob2o17bo13b2o3bo3b3o
b2o17bo8b3o2b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o4b2o11bo9b3o2bo3bo3b3ob2o
17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo3b3ob2o17bo13b2o3bo
3b2o$26b2o44b2o13b3o19b2o7b2o44b2o44b2o44b2o9bo34b2o44b2o44b2o34bo18b
o15b2o4b3o3bo17bo15b2o4b3o3bo17bo12bo2b2o4b3o3bo4bobo10bo15b2o4b3o3bo
7bo9bo12b2o2bo4b3o3bo4bo12bo15bo5b3o3bo4bobo10bo15b2o4b3o3bo17bo15b2o
4b3o3bo17bo15b2o4b3o2bo$23b2obo42b2obo35bobo4b2obo42b2obo42b2obo35b3o
4b2obo9b3o30b2obo42b2obo35b3o4b2obo34b2o18b2o22bobobo17b2o22bobobo17b
2o10bo11bobobo4b2o11b2o22bobobo17b2o22bobobo4bobo10b2o22bobobo4b2o11b
2o22bobobo17b2o22bobobo17b2o22bob2o$3b2o17bobobo22b2o17bobobo22b2o13b
o3bobobo22b2o17bobobo22b2o17bobobo22b2o13bo3bobobo8b5o9b2o17bobobo22b
2o17bobobo22b2o13bo3bobobo20b2o56bob2o42bob2o42bob2o6bo35bob2o42bob2o
5b2o35bob2o6bo19bo15bob2o42bob2o42bo$4bo17bo3b3o4b2o15bo17bo3b3o4b2o15b
o17bo3bob2ob3o16bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo12bo4bo3b3o5b2o3b2o
9bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo12bo4bo3b3o4b2o13bo55b2o44b2o44b2o
44b2o44b2o44b2o29b2o13b2o44b2o44b2o$2bo17b2ob3o3bo3b2o13bo17b2ob3o3bo
3b2o13bo17b2ob3o7bo14bo17b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b2ob3o
3bo3b3o3b3o6bo17b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o10b
3o54bo2bo42bo2bo42bo2bo27b2o13bo2bo42bo2bo42bo2bo28bobo11bo2bo42bo2bo
$2b5o14bobo2b4o18b5o14bobo2b4o18b5o14bobo2b2o3bo3b2o11b5o14bobo2b4o18b
5o14bobo2b4o18b5o14bobo2b4o4b2o3b3o6b5o14bobo2b4o18b5o14bobo2b4o18b5o
14bobo2b4o15bo56b2o44b2o44b2o28bobo13b2o44b2o44b2o44b2o44b2o$7bo13bo4b
o15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo
13bo4bo8b5ob3o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2obo12b3o35b
2o44b2o44b2o36bo7b2o44b2o44b2o44b2o44b2o44b2o$4b3o12bobo5b3o12bobo5b3o
12bobo5b3o12bobo5b3o12bobo5b2obo2bo8bobo5b3o12bobo5b3o12bobo5b3o12bob
o5b3o12bobo5b3o12bobo5b3o6b3o3bobo5b3o12bobo5b3o12bobo5b3o12bobo5b3o12b
obo5b3o12bobo5b3o12bobob2o10bo4bo32bo45bo45bo45bo45bo45bo45bo45bo45bo
$3bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo6bo6bo4bo15b2o9bo13bo4bo15b
2o9bo13bo4bo15b2o9bo6bo6bo4bo15b2o9bo13bo4bo15b2o9bo13bo4bo15b2o9bo13b
o2bo11bo3bo7b2o24b3o43b3o43b3o43b3o43b3o43b3o43b3o43b3o43b3o$3b4o18b5o
14bobo2b4o18b5o14bobo2b4o18b5o5bobo6bobo2b4o18b5o14bobo2b4o18b5o14bob
o2b4o18b5o14bobo2b4o18b5o14bobo2b4o18b5o14bobo2b4o18b5o14b2o25bobo25b
o45bo45bo45bo45bo45bo45bo45bo45bo$b2o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b
2ob3o3bo3b2o13bo10b2o5b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo17b2ob3o3bo
3b2o13bo17b2ob3o3bo3b2o13bo13bo3b2ob3o3bo3b2o13bo17b2ob3o3bo3b2o13bo35b
o2b2o7bo329bo45b3o$o2b3o4b2o15bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo17bo3b
3o4b2o15bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo17bo3b3o4b2o15bo9bobo5bo3b3o
4b2o4b2o9bo17bo3b3o4b2o15bo37bo7b2o328b2o46bo$2obo22b2o17bobobo22b2o17b
obobo22b2o17bobobo13b2o7b2o17bobobo22b2o17bobobo22b2o17bobobo22b2o10b
2o5bobobo11b2o9b2o17bobobo22b2o35bobo59b2o275bobo45bo$3bo42b2obo42b2o
bo42b2obo12b2o28b2obo42b2obo42b2obo42b2obo13bo28b2obo56b2o62bobo20bob
o$3b2o44b2o44b2o44b2o13bo30b2o44b2o44b2o44b2o44b2o54bo5bo60bo20b2o$49b
o2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo42bo2bo52bobo3bo82bo$51b
2o44b2o44b2o44b2o14b2o28b2o44b2o44b2o44b2o49b2obobobo4bo6b2o21bo321bo
$11b2o44b2o44b2o44b2o33bo10b2o7b2o35b2o44b2o44b2o44b2o43bo2bo2b2ob4o7b
2o19bo206b2o113bo$12bo45bo45bo45bo31bobo11bo9bo35bo45bo45bo45bo45b2o4b
o10bo21b3o203bobo66bobo44b3o$9b3o43b3o43b3o43b3o33b2o8b3o43b3o43b3o43b
3o43b3o52bobo189bo48bo66b2o$9bo45bo45bo45bo45bo45bo45bo45bo45bo39bo15b
2o166bo22b2o115bo$94bobo318bobo181b2o22bobo$73b2o20b2o319b2o12bo169b2o
89bo$73bobo19bo332b3o120bo137b2o$73bo353bo122bo139b2o$121b3o303b2o121b
3o88bobo$53bobo65bo117bo401b2o$54b2o66bo114bobo21b3o44b2o214bo45b2o70b
o$54bo183b2o21bo25bo19b2o215b2o45b2o$262bo25bo20bo213bobo44bo$286b3o2$
417b2o$416bobo5b2o322b2o$416bo7b2o321bobo$155bo206b2o51b2o332bo$156b2o
203b2o46b2o380bo$155b2o206bo45bobo17bo361b2o$409bo9b2o4b2obobo359bobo
$227b3o189bo4bobobobo265b2o$205bobo19bo193bo2bobobobob2o54bo160b3o43b
obo66bo$206b2o20bo191b5ob2o2bo2bo53bo163bo45bo65bo$206bo218bo4b2o9bo45b
3o111b2o47bo112b3o$422b2obo13b2o161b2o$349bo72bo2b2o13b2o159bo112bo$350b
o72b2o289bobo$97b2o249b3o45bo28b4o285b2o$96b2o299b2o26bo3bo190bo$77bo
20bo297b2o30b2o188b2o$78bo181bobo193bo162b2o$76b3o182b2o193b2o43b2o21b
o22b3o112bo$261bo193bobo42bobo21bobo22bo112bobo$126bo184bo190bo21b2o22b
o113b2o$127b2o180bobo$126b2o182b2o254bobo$438b2o126b2o$292bo44b2o92b2o
5bobo126bo157b3o$291b2o43b2o93b2o7bo286bo$291bobo44bo101b2o284bo$768b
2o$427bo341b2o$426bobob2o4b2o330bo$158b3o68bo159b2o35bobobobo4bo189b2o
44b3o$158bo71bo157b2o33b2obobobobo2bo29bo160bobo46bo$159bo68b3o159bo32b
o2bo2b2ob5o28bobo160bo45bo$425b2o4bo33b2o$431bob2o$372bo57b2o2bo$189b
o183bo58b2o$190bo180b3o54b4o$188b3o22b2o212bo3bo165bo$212b2o69bo143b2o
166b2o$99bobo112bo69b2o310b2o$100b2o181b2o239b3o112bobo$100bo425bo112b
2o$332bobo89bobo98bo114bo$333b2o90b2o48bo22bobo$333bo91bo49b2o21b2o227b
o$417b2o55bobo22bo227bobo$131bo229bo54bobo5b2o138b2o136b2o23b2o$130b2o
228b2o54bo7b2o139b2o134bobo$130bobo227bobo52b2o147bo138bo42bo$317b2o427b
2o$316b2o111bo315bobo$274bo43bo100b2o4b2obobo$252bo20b2o144bo4bobobob
o173b3o$250bobo20bobo145bo2bobobobob2o8bobo161bo$251b2o167b5ob2o2bo2b
o8b2o89bobo69bo$425bo4b2o11bo89b2o$422b2obo108bo$422bo2b2o218b2o$166b
o229bo26b2o221b2o$164bobo230bo27b4o216bo$165b2o228b3o27bo3bo$123bo67b
2o235b2o$124bo65b2o310b2o$122b3o67bo308bobo$240b2o261bo$239b2o$241bo$
566bo$438b2o102bo22bo$315bo45bo69b2o5bobo8b2o91b2o21b3o111b3o$313bobo
43bobo69b2o7bo9b2o89bobo65bo71bo$314b2o44b2o78b2o7bo158bo71bo$608b3o111b
3o$427bo224bo71bo$158b2o68bo45bo151bobob2o4b2o213bo71bo$158bobo68bo45b
o68bo81bobobobo4bo213b3o$158bo68b3o43b3o67b2o78b2obobobobo2bo$343bobo
77bo2bo2b2ob5o$425b2o4bo$431bob2o142b2o44bo$188bo241b2o2bo141bobo44b2o
$189bo242b2o144bo43bobo$187b3o238b4o$427bo3bo$213b3o204bobo4b2o$213bo
207b2o501b2o$214bo94bo111bo80bo421b2o$308b2o190b2o$308bobo190b2o$149b
obo113b2o$150b2o112b2o186bo90bo$150bo115bo70bo45bo33b2o31b2o90bo114b2o
$338bo45bo21b2o8bobo5b2o25b2o89b3o111bobo$336b3o43b3o20b2o9bo7b2o161b
o70bo$407bo7b2o99b3o66b2o$518bo67b2o$429bo87bo$251bo167b2o4b2obobo243b
o$249bobo167bo4bobobobo35b2o206bobo$182b3o65b2o169bo2bobobobob2o33b2o
205b2o$182bo237b5ob2o2bo2bo32bo158bo$183bo117bo123bo4b2o192bo$299bobo
120b2obo128b3o67b3o$300b2o120bo2b2o129bo$423b2o130bo$425b4o168b2o$425b
o3bo168b2o$236b3o136b2o51b2o167bo$236bo137b2o$237bo93b2o43bo$330b2o98b
3o$332bo96bo3bo$288b2o138bo5bo$288bobo138bo3bo$288bo70bo70b3o5b2o$360b
2o76bobo$359b2o79bo$440b2o74bobo44bo$516b2o43b2o67bo$427bo89bo44b2o66b
2o43b3o$227bo198bobob2o4b2o6bo184bobo45bo$228b2o45bo150bobobobo4bo6b2o
230bo$227b2o47bo146b2obobobobo2bo7bobo$274b3o146bo2bo2b2ob5o$425b2o4b
o31bobo66b2o$431bob2o28b2o66bobo$430b2o2bo29bo68bo$212bo219b2o141bo68b
o$211b2o215b4o143b2o66bo$211bobo213bo3bo142bobo66b3o$427b2o$423bo$355b
o65bobo169bo$354b2o66b2o168bo$354bobo119bo115b3o$476b2o$196bobo276bob
o$197b2o184bo33b2o$197bo183bobo22b2o8bobo5b2o$382b2o21b2o9bo7b2o$407b
o7b2o$270b3o334b2o$270bo158bo176bobo$271bo147b2o4b2obobo177bo$419bo4b
obobobo$421bo2bobobobob2o$420b5ob2o2bo2bo214b2o$425bo4b2o217b2o$325bo
96b2obo222bo$324b2o96bo2b2o80b3o$234b2o88bobo96b2o84bo42b2o$234bobo188b
4o79bo42bobo$234bo190bo3bo97bo25bo$428b2o96bo$526b3o$353bobo122bo$309b
o44b2o75bobo44bobo89bo44bo$310b2o42bo24b2o50b2o45b2o88b2o44bo$309b2o68b
obo50bo136b2o43b3o$221bo157bo$219bobo216b2o$220b2o209b2o5bobo$431b2o7b
o$440b2o$584bo$427bo156b2o$426bobob2o4b2o145bobo$298bo127bobobobo4bo$
297b2o124b2obobobobo2bo190bo$297bobo123bo2bo2b2ob5o189b2o$425b2o4bo193b
obo$431bob2o4b2o44b2o$430b2o2bo5b2o42bobo$257b2o158bobo12b2o5bo46bo42b
2o$256b2o160b2o8b4o98b2o$258bo159bo8bo3bo97bo$427b2o2$286bo67b2o$287b
o45bo19b2o$285b3o43bobo21bo47bo49bo$243bo88b2o68b2o48bo45bobo$244bo157b
obo47b3o43b2o$242b3o172b2o80bo$416bobo5b2o115bo$416bo7b2o114bo$415b2o
123b3o$561b2o$429bo132b2o$419b2o4b2obobo130bo$419bo4bobobobo$391bo29b
o2bobobobob2o$389bobo28b5ob2o2bo2bo168b3o$390b2o33bo4b2o172bo$422b2ob
o177bo$422bo2b2o$423b2o$281b2o142b4o$280b2o143bo3bo28bo$282bo145b2o28b
2o112bo$457bobo42b2o67bo$355bo77bo67bobo67b3o$356bo77bo68bo$354b3o70b
2o2bo2b2o$266bo114bo44b3obobob3o$264bobo113b2o45b2o2bo2b2o$265b2o113b
obo45bo5bo3b2o$429b5o4bobo$430b3o7bo$431bo8b2o74bo$516bobo$427bo88b2o
$426bobob2o4b2o$426bobobobo4bo$412bobo8b2obobobobo2bo30bo113bo$413b2o
8bo2bo2b2ob5o27b2o114b2o$413bo11b2o4bo33b2o112bobo$431bob2o$430b2o2bo
$327bo104b2o$325bobo100b4o96b2o$326b2o99bo3bo3b2o92b2o$307bo119b2o5bo
bo91bo$306b2o128bo42b2o$306bobo68bo102b2o66bo$378b2o99bo66b2o$377b2o168b
2o$403b2o$402b2o$404bo12b2o$359b3o54bobo5b2o$291bobo65bo56bo7b2o$292b
2o66bo54b2o$292bo$429bo$419b2o4b2obobo$419bo4bobobobo59bo$421bo2bobob
obob2o54b2o67b2o$420b5ob2o2bo2bo55b2o67b2o$425bo4b2o125bo$422b2obo$422b
o2b2o$423b2o$425b4o$425bo3bo$428b2o$456bo$331b2o22bo74b3o23b2o$330b2o
24bo72bo3bo21bobo$332bo21b3o71bo5bo64b3o21bo$428bo5bo66bo19b2o$428bo5b
o65bo21b2o$429bo3bo4b2o$430b3o5bobo$440bo$317bo122b2o$315bobo$316b2o109b
o$411bo14bobob2o4b2o$412b2o12bobobobo4bo$411b2o10b2obobobobo2bo$423bo
2bo2b2ob5o96b3o$425b2o4bo103bo$431bob2o27bobo69bo$430b2o2bo27b2o$432b
2o29bo$428b4o$427bo3bo$427b2o$433b2o$378bo53bobo$356bo19bobo55bo$355b
2o20b2o$355bobo2$405b2o10b2o$404b2o10bobo5b2o$406bo9bo7b2o$338bobo74b
2o$339b2o$339bo89bo38bo$419b2o4b2obobo37b2o$419bo4bobobobo36bobo$421b
o2bobobobob2o77bo$420b5ob2o2bo2bo77b2o$425bo4b2o78bobo$422b2obo$422bo
2b2o$423b2o$425b4o$425bo3bo$428b2o2$430b3o$400bobo26bo3bo$401b2o25bo5b
o$401bo26bo5bo$380b3o45bo5bo$380bo48bo3bo4b2o$381bo48b3o5bobo$440bo$440b
2o2$427bo17b2o$426bobob2o4b2o6bobo$426bobobobo4bo8bo$423b2obobobobo2b
o52b2o$423bo2bo2b2ob5o50bobo$368bobo54b2o4bo57bo$369b2o60bob2o27bobo$
369bo60b2o2bo27b2o$432b2o29bo$428b4o$427bo3bo$427b2o2$424bo$425bo$423b
3o3$417b2o$416bobo5b2o$416bo7b2o$415b2o2$429bo$419b2o4b2obobo$419bo4b
obobobo$421bo2bobobobob2o$391bo28b5ob2o2bo2bo$392b2o31bo4b2o$391b2o29b
2obo$422bo2b2o$423b2o$425b4o$425bo3bo$428b2o3$425bo$424b2o27b3o$424bo
bo28bo$454bo$438b2o$431b2o5bobo$431b2o7bo$440b2o2$427bo$426bobob2o4b2o
$426bobobobo4bo$423b2obobobobo2bo$423bo2bo2b2ob5o$415bo9b2o4bo$416b2o
13bob2o$415b2o13b2o2bo$432b2o$428b4o$427bo3bo$427b2o7$417b2o$416bobo5b
2o$416bo7b2o$415b2o2$429bo$419b2o4b2obobo$419bo4bobobobo$421bo2bobobo
bob2o$420b5ob2o2bo2bo$425bo4b2o$422b2obo$422bo2b2o$423b2o$425b4o$425b
o3bo$428b2o7$438b2o$431b2o5bobo$431b2o7bo$440b2o2$427bo$426bobob2o$426b
obobobo$425b2obobobo2bo$426bo2b2ob4o$426bo4bo$427b3obo2b2o$429b2o3b2o
17$435b2o$435b2o!

I just realized! I didn't have time to realize that this was what I needed... Why is he so slow! It turns out he's so slow!

Sober ABC · Post by **Sober ABC** » July 13th, 2026, 5:30 pm

Sober ABC wrote: July 12th, 2026, 9:28 am
Sober ABC wrote: July 12th, 2026, 12:58 am In my work as a novelist, in addition to mdj(g)-seed, I have an arithmetic problem on how to divide infinity equally. The online community stumbled upon a children's puzzle with a philosophical name. I have never received a correct answer on the Russian-language Q&A forums. And giving a ready answer to viewers and readers is not fair in front of mathematics. So I decided to translate the condition of this task into all languages of the world. And it turns out that the Yandex automatic translator does not have an adverb whose name begins with the letter J. And suddenly it dawned on me. Eureka! It is necessary to translate Conway's Life into the game code!

The simplest infinity. I called it finished and straight infinity. It only lives for three iterations.
Code: Select all
x = 19, y = 1, rule = B3/S23
4ob4ob4ob4o!
This type of infinity is average or cyclic. It can also be called ring infinity.

It has a period of 80 and how many first iterations are unique... I didn't cheat. I took screenshots of something in the photo, where four of the three vertical lines are in the entire space. This is a topic for a separate analysis. It will be in a separate article in Russian. I'm wondering why the four lines don't repeat themselves in a circle...

damn it! THIS IS NOT THE CORRECT VERSION OF INFINITY. AND NOT THE RING, AND NOT THE MOST DIFFICULT!
Code: Select all
x = 24, y = 1, rule = B3/S23:T24,3
4ob4ob4ob4ob4o!
It's an infinity named Сircle. And he lives on one iteration of balshe, but completely withdraws himself.
Code: Select all
x = 20, y = 3, rule = B3/S23:T20,3
$4ob4ob4ob4o!
The most difficult infinity.
Code: Select all
x = 29, y = 1, rule = B3/S23:T29,3
4ob4ob4ob4ob4ob4o!
This means that the most difficult option lasted only 18 iterations. But the extreme segments add up to a length of 8 pixels, but in fact it should be any length. It should be endless. But we make 3 pixels on one side and 4 on the other. And the option of a ring, hoop, torus confuses me very much. Eh... I would like to make a 2x2 option around the edges...
Code: Select all
x = 20, y = 1, rule = B3/S23:T20,3
2ob4ob4ob4ob2o!
Code: Select all
x = 27, y = 1, rule = B3/S23:T27,3
4ob4ob4ob4ob4ob4o!
Code: Select all
x = 27, y = 3, rule = B3/S23:T27,3
4bo4bo4bo4bo4bo$4bo4bo4bo4bo4bo$4bo4bo4bo4bo4bo!
I can't seem to find the right answer. Help me? How can I arrange the cuts in rectangle 3 on the nth number so that they repeat themselves periodically? They exist as starting cartridges. Do they exist as intermittent, intermediate patterns? In my opinion, the analysis is reasonable... They self-destruct! But maybe I haven't tried enough?

THIS IS A VALID CONCLUSION... It seems that in the conveyor life, infinity is done and only unequally!

Code: Select all

x = 301, y = 758, rule = B3/S23
236b6o4b37o$232b4o6b4o34b2o$230b2o48bo$229b2o47b2o$228bo49bo$226b2o49b
o$225b2o50bo$224b2o50bo$224bo51bo$223b2o50bo$223bo51bo$224bo50bo$224b
2o49bo$225b2o48bo$226b2o47bo$227bo46bo$227bob10ob10ob10ob10obo131$232b
50o$232bo48bo$232bob10ob10ob10ob10ob2obo$279b3o98$233b49o$233bo47bo$233b
ob10ob10ob10ob10obobo$279b3o79$233b48o$233bo46bo$233bob10ob10ob10ob10o
b2o124$250b47o$250bo45bo$250bob10ob10ob10ob10obo90$100bob10obo11bob10o
$100bo12bo11bo$100bo12bo11bo10bo$100bo12bo11bo10bo$100bo12bo11bo10bo$
10ob10ob10ob10o57bo12bo11bo10bo$100bo12bo11bo10bo92b10ob10ob10ob10ob10o
b10o$100bo12bo11bo10bo$100bo12bo11bo10bo$100bob10obo11bo10bo$136bo$125b
10obo18$243b47o$243bo45bo$243bob10ob10ob10ob10obo$243bo45bo$243b47o63$
246b47o$246bo45bo$246bo45bo$246bob10ob10ob10ob10obo$246bo45bo$246bo45b
o$246b47o99$254b47o$254bo45bo$254bo45bo$254bo45bo$254bob10ob10ob10ob10o
bo$254bo45bo$254bo45bo$254bo45bo$254b47o!

b-engine · Post by **b-engine** » July 13th, 2026, 6:04 pm

Sober ABC wrote: July 12th, 2026, 12:58 am

What's the purpose of "infinity" and what it is?

Sober ABC · Post by **Sober ABC** » July 14th, 2026, 12:54 am

"infinity" or the P.B.P. problem (divide infinity evenly) is an arithmetic problem with an awkward name for which there is no answer on the Internet. Something like a wrong auto-translator, but only about formulas it turned out, about algebra. I am working on translating my text of a children's puzzle into other Languages of the world. I will translate into English the last of the prolific list, as it is the most popular programming language. The task is simple, everyone can translate from Russian by themselves. And I will be grateful... https://proza.ru/2013/11/08/394 I've been looking for a long time, I ask you to leave at least one comment on the resource protecting artistic copyright. Thank you again that wiki-life is only in English. This probably protects scientific copyrights.

Code: Select all

x = 286, y = 51, rule = B3/S23
282b4o$282bo2bo$188bo93b2obo$184b4obo68bo4bo4bo4bo4bo6bo$183bo5bo64b4o
b4ob4ob4ob4ob7o$149bo4bo4bo24bo4bo64bo$145b4ob4ob4ob4o20bo4bo64bob2o$
4b4ob4ob4ob4o161bo5bo63bo2bo$184bob4o64b4o$185bo12$10b4obo$15bo$10bo4b
o$10bo4bo$10bo$10bob4o16$28b4o$28bo2bo$28b2obo$31bo$4ob4ob4ob4ob4ob7o
$o$ob2o$o2bo$4o!

Yes, this is an ideal, creative, artistic, design illustration of the specified arefemetic task. That's how he translated the text into the code of the Game Life. The bounding box option inspired me, but it's not as beautiful. In it, mdg(j)—seed would never grow into a tree.

Sober ABC · Post by **Sober ABC** » July 14th, 2026, 2:41 am

Sober ABC wrote: July 12th, 2026, 12:58 am
Code: Select all
x = 20, y = 3, rule = B3/S23:T20,3
$4ob4ob4ob4o!
And I figured out the quotes... I hope I'm quoting myself incorrectly for the last time.

Code: Select all

x = 20, y = 2, rule = B3/S23:T20,5
4bo4bo4bo4bo$4ob4ob4ob4o!

Code: Select all

x = 77, y = 123, rule = B3/S23
5bo4bo4bo4bo11bo4bo4bo4bo11bo4bo4bo4bo$b4ob4ob4ob4o9b3ob4ob4ob4obo8b2o
b4ob4ob4ob2o29$20o$20o$b2o3b2o3b2o3b2o22$20o4$4bo4bo4bo4bo25$20o$20o4$
b2o3b2o3b2o3b2o32$20o2$4bo4bo4bo4bo!

Yes, I found a minimal closed space cycle that divides infinity equally. But, it's a pity, the starting pattern doesn't repeat itself. But... I found the ring myself. This is a question about citations. I asked myself (and my readers) how to find it. I waited. I gave my subconscious some time. And even with the wrong quote, there was a correct answer.

Code: Select all

x = 20, y = 5, rule = B3/S23:T20,5
$20o2$4bo4bo4bo4bo!

Code: Select all

x = 106, y = 4, rule = B3/S23
20o85bo$b2o3b2o3b2o3b2o83bo3bo$101bo2b2o$20o81b2o!

I sorted out all three or four generations (iterations) in one line. I know it's a mistake! You can't do that.

Code: Select all

x = 177, y = 30, rule = B3/S23
20b20o20b20o$40o$21b2o3b2o3b2o3b2o$4bo4bo4bo4bo24bo4bo4bo4bo$61b2o3b2o
3b2o3b2o$40b40o9$174bobo$175b2o$175bo2$174b2o$174bobo$175b2o4$156b2o$
156b2o3$164b2o$164b2o!

Sober ABC · Post by **Sober ABC** » July 22nd, 2026, 3:31 am

Code: Select all

x = 25, y = 5, rule = B3/S23:T25,5
$20o2$4bo4bo4bo4bo!

Code: Select all

x = 15, y = 5, rule = B3/S23:T15,5
$20o2$4bo4bo4bo4bo!

Vertical stripe renderer. Is there a periodontal regrowth?

Code: Select all

x = 2, y = 4, rule = B3/S23:T25,5
2o$o$bo$2o!

Code: Select all

x = 10, y = 5, rule = B3/S23:T10,5
$20o2$4bo4bo4bo4bo!

Code: Select all

x = 5, y = 5, rule = B3/S23:T5,5
$20o2$4bo4bo4bo4bo!

I liked the penultimate column on the right.

Sober ABC · Post by **Sober ABC** » July 25th, 2026, 5:04 am

I cut strips of leaves into a checkered pattern. The strips are 20 and 15 in length... I counted the perimeter incorrectly. But everything worked out. The planet has a doughnut-shaped latitude of 5 and longitude of 20. In short, just a photo. It was fun to collect it. I had fun washing the left with the right, and the top with the bottom. And the sun flashes with a period of 4 for a "looped" infinity equally. And it warms the planet... A book of the fantasy genre? A thoughtful world?

Sober ABC wrote: July 14th, 2026, 2:41 am
Code: Select all
x = 20, y = 5, rule = B3/S23:T20,5
$20o2$4bo4bo4bo4bo!

I divided Finiteness, Cyclicity, Infinity into Exactly the Same 3 to 5 times.

Sober ABC · Post by **Sober ABC** » August 4th, 2026, 9:36 am

Code: Select all

x = 29, y = 29, rule = B3/S23:T29,29
$20o2$4bo4bo4bo4bo!

I've already made this QR code, but I won't be able to quickly find a link to look at it in the enclosed frame. This is not related to cellular automata and conveyor life. This is due to the "programming" of hoards on geocaching sites. This is one of my treasures called "Minsk-zero". It takes a long time to explain - the "Artifacts" contest. I doubt it.

Code: Select all

x = 29, y = 29, rule = B3/S23:T29,29
7o15b7o$o5bo15bo5bo$ob3obo15bob3obo$ob3obo15bob3obo$ob3obo15bob3obo$o
5bo15bo5bo$7obobobobobobobob7o2$6bo2$6bo2$6bo2$6bo2$6bo2$6bo2$6bo13b5o
$20bo3bo$7o13bobobo$o5bo13bo3bo$ob3obo13b5o$ob3obo$ob3obo$o5bo$7o!

Code: Select all

x = 29, y = 29, rule = B3/S23
7o15b7o$o5bo15bo5bo$ob3obo15bob3obo$ob3obo15bob3obo$ob3obo15bob3obo$o
5bo15bo5bo$7obobobobobobobob7o2$6bo2$6bo2$6bo2$6bo2$6bo2$6bo2$6bo13b5o
$20bo3bo$7o13bobobo$o5bo13bo3bo$ob3obo13b5o$ob3obo$ob3obo$o5bo$7o!

Code: Select all

x = 31, y = 31, rule = B3/S23:T31,31
7o15b7o$o5bo15bo5bo$ob3obo15bob3obo$ob3obo15bob3obo$ob3obo15bob3obo$o
5bo15bo5bo$7obobobobobobobob7o2$6bo2$6bo2$6bo2$6bo2$6bo2$6bo2$6bo13b5o
$20bo3bo$7o13bobobo$o5bo13bo3bo$ob3obo13b5o$ob3obo$ob3obo$o5bo$7o!

Code: Select all

x = 29, y = 29, rule = B3/S23:T29,29
7ob2obo4b2o4b7o$o5bobo2b3o3b4obo5bo$ob3obob2obob3o4bobob3obo$ob3obo3b
o2b2ob2o2bobob3obo$ob3obobob3o3b2o2bobob3obo$o5bo3bobo4bo2bobo5bo$7ob
obobobobobobob7o$9b2o2bo$o2b7o6b4obo2bob3o$2bo2bo4b2o3bob3o3b2ob2o$bo
b4ob2obobob2o3bo5bo$obo2bo8b4ob4obo3bo$2b5o4bo2b3obobob2o4bo$2b4ob2o2b
obob3o4b4ob2o$bo3b3obo5b3ob2o4b2obo$2obo3bob2o3b2o4b2obo2bobo$4o2b2ob
3ob3o3b2o2bo$4bo2b3obob5ob2o2b5o$2bobobo3b6ob6o5bo$3bo3b2obob3o3b8o$4b
4ob2obo2bobo2b7o$8bob2o3b4obo3b2o$7ob2ob5o3b2obob2o$o5bobobo5b5o3b2o$
ob3obob4ob3o2b7o2bo$ob3obob2obo2b2obo3bobo2bobo$ob3obo6b3o3bobob2ob3o
$o5bo2bob3o8b2ob2obo$7ob4o6b3o3b2o!

I wonder where a clean QR code would lead? Is it possible? Spin the task in the opposite direction?

Sober ABC · Post by **Sober ABC** » August 5th, 2026, 7:33 am

Sober ABC wrote: September 27th, 2025, 7:53 am
Code: Select all
x = 11, y = 31, rule = B3/S23
11o$o9bo$o9bo$o9bo$o9bo$o9bo$11o$4b3o$4b3o$4b3o$4b3o$4b3o$4b3o$4b3o$4b
3o$4b3o$4b3o$4b3o$4b3o$4b3o$4b3o$b9o$b9o$b9o$b9o$b9o$b9o$b9o$b9o$b9o$
b9o!
To obtain an mdg shovel from a QR shovel, you need to replace the handle with a 7- to 13-unit one.

And what is this binary number? If you use encoding, decoding QR codes...

Code: Select all

x = 29, y = 29, rule = B3/S23
7ob3o7b3ob7o$o5bobo11bobo5bo$ob3obo2bo9bo2bob3obo$ob3obo15bob3obo$ob3o
bo15bob3obo$o5bo15bo5bo$7obobobobobobobob7o2$2o4bo20b2o$obo23bobo$o5b
o21bo2$6bo2$6bo2$6bo$15bo$o5bo6bobo$obo11b2o$2o4bo13b5o$20bo3bo$7o13b
obobo$o5bo13bo3bo$ob3obo13b5o$ob3obo$ob3obo2bo$o5bobo$7ob3o!

If you draw dead cells on top of the living ones, then the general framework of the QR code will be removed in 6 iterations.

Code: Select all

x = 29, y = 29, rule = B3/S23
7ob3o7b3ob7o$o5bobo11bobo5bo$ob3obo2bo9bo2bob3obo$ob3obo15bob3obo$ob3o
bo15bob3obo$o5bo15bo5bo$7obobobobobobobob7o2$2o4bo20b2o$obo23bobo$o5b
o21bo2$6bo2$6bo2$6bo2$o5bo$obo17bo$2o4bo13b5o$20bo3bo$7o13bobobo$o5bo
13bo3bo$ob3obo13b5o$ob3obo$ob3obo2bo$o5bobo$7ob3o!

Well, yes. The number is not automatically determined in any way. Although the principle... Black is 1, White is 0. The field is 29x29 or two to the 841 degree. Therefore, the volume is not important. What is the amount of information? How do I make sure that I draw a picture first, and then attach information to it? It's probably not possible!

ConwayLife.com

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