Unlimited mess patterns

[Gliderstorm]

Most messy puffers stabilize fairly quickly.

However, linepuffer (https://conwaylife.com/wiki/Line_puffer) seems to take exponentially long with it's width. Too bad it can't expand as it goes.

In order to have an aperiodic pattern you need a growing feedback loop.
qqd found this pattern that is a deceptively simple case of two LWSS streams bashing debris:

Code: Select all

x = 127, y = 108, rule = B3/S23
90b2o$86b4ob2o$86b6o$87b4o2$102b2o$100b2ob2o$86bo9bo3b4o$85bo11bo3b2o$
85b3o7bo2bo$97bo3b2o$96bo3b4o$100b2ob2o$68bo18b2o13b2o$67bo17bo4bo$67b
3o21bo$85bo5bo$86b6o$72b2o$71b2o$73bo2$70bo40b2o$70b2o35b4ob2o$69bobo
18b2o15b6o$89b2o17b4o9bo2bo$91bo33bo$121bo3bo$76bo36bo3bo4b4o$76b2o8b
4o23bo4b2o$75bobo7bo3bo18b2o7b3o$89bo17b2o9b2o$85bo2bo20bo7bo4b4o$121b
o3bo$82b3o14b2o24bo$82b3o13b4o19bo2bo$81bo3bo12b2ob2o$83b2o6bo2bo5b2o
6b6o$o79bo10bo3bo11bo5bo$3o73bo3b2ob2o5bo4b2o16bo$bo73bobo5b2o6bo3bo
11bo4bo$74bo3b2o2bo2bo5bo2bo5b2o7b2o$82bo2bo12b2ob2o$75bo5bo3bo12b4o$
77b7o15b2o2$88b6o$87bo5bo$93bo$79bo2bo4bo4bo$83bo5b2o$79bo3bo$80b4o3$
91b2o$87b4ob2o$87b6o$88b4o2$103b2o$101b2ob2o$87bo9bo3b4o$86bo11bo3b2o$
86b3o7bo2bo$98bo3b2o$97bo3b4o$101b2ob2o$69bo18b2o13b2o$68bo17bo4bo$68b
3o21bo$86bo5bo$87b6o$73b2o$72b2o$74bo2$71bo40b2o$71b2o35b4ob2o$70bobo
18b2o15b6o$90b2o17b4o9bo2bo$92bo33bo$122bo3bo$77bo36bo3bo4b4o$77b2o8b
4o23bo4b2o$76bobo7bo3bo18b2o7b3o$90bo17b2o9b2o$86bo2bo20bo7bo4b4o$122b
o3bo$83b3o14b2o24bo$83b3o13b4o19bo2bo$82bo3bo12b2ob2o$84b2o6bo2bo5b2o
6b6o$81bo10bo3bo11bo5bo$77bo3b2ob2o5bo4b2o16bo$76bobo5b2o6bo3bo11bo4bo
$75bo3b2o2bo2bo5bo2bo5b2o7b2o$83bo2bo12b2ob2o$76bo5bo3bo12b4o$78b7o15b
2o2$89b6o$88bo5bo$94bo$80bo2bo4bo4bo$84bo5b2o$80bo3bo$81b4o!

The two LHWSS streams pile on more debris as they go along. However, the upper stream builds more slowly and both streams shoot gliders upward. This makes it possible to shoot gliders way ahead of the upper stream which closes a the feedback loop. What ultimately dooms it is a LWSS eater that stops the upper stream, after 54 million generations, see viewtopic.php?f=2&t=576&start=2575#p151424.

But IlTifoneHaiyan (original post: viewtopic.php?f=2&t=576&start=2600#p152180) found this pattern that generates a growing feedback loop with crashing glider streams:

Code: Select all

x = 84, y = 29, rule = B3/S23
76bobo$76bo2bo$5bobo71b2o$4bo2bo73bo$3b2o74b4o$2bo75bo4bo$b4o67b3o5bo
2bo$o4bo68bo5bo2bo$o2bo5b3o60bobo7bo$o2bo5bo66bob4o$bo7bobo61bo2bo3bo$
2b4obo60b2o9bo$3bo3bo2bo55bo4bo3b5o$4bo9b2o56bo$4b5o3bo4bo48bo5bo2b5o$
11bo55b6o6bo$4b5o2bo5bo58bo3bo$4bo6b6o59bob4o$3bo3bo66bo7bo$2b4obo66bo
5bo2bo$bo7bo61bob2o5bo2bo$o2bo5bo61bo6bo4bo$o2bo5b2obo66b4o$o4bo6bo68b
o$b4o74b2o$2bo73bo2bo$3b2o71bobo$4bo2bo$5bobo!

The streams move upward and leave a vertical spine of debris, which occasionally sets up a loop where gliders ping-pong between the glider stream and a stump growing on the spine. Presumably the number of ping-pongs is limited (each one consumes gliders from the stream) and the pattern will become periodic.

Can we build a truly "unlimited mess pattern"? There are non-periodic guns (such as primer: https://conwaylife.com/wiki/Primer) but can we use untamed random mess to generate unlimited novelty rather than a tightly controlled process?

[dvgrn]

Can we build a truly "unlimited mess pattern"? There are non-periodic guns (such as primer: https://conwaylife.com/wiki/Primer) but can we use untamed random mess to generate unlimited novelty rather than a tightly controlled process?

The answer certainly seems to be "yes". This is most often done with two orthogonal rakes or puffers at 90 degrees to each other. Bill Gosper has been doing these kinds of investigations off and on for many years, starting pretty much as soon as Golly was available. Rather than gliders ping-ponging back and forth in a limited width, where all permutations are likely to be eventually exhausted, you can get increasingly complex interactions as sparse streams strafe lines of debris, producing even sparser streams in other directions, which then make even sparser streams in yet other directions (or back in the original direction) when they hit other lines of debris -- and so on, without any obvious limiting point.

Golly is capable of running these kinds of experiments long enough that they start producing the two different types of switch engines, which of course only adds to the variety of targets that the various glider streams can interact with. It's hard to run Golly long enough to start seeing even rarer objects -- pufferfish, other types of c/2 puffers, various gun periods, etc. -- but there doesn't seem to be any reason why these would not appear in unlimited novelty patterns ... eventually.

There are some interesting caveats to the search for unlimited novelty. Even if at first glance a pattern seems to be making a safely un-limitable mess, there's the potential for surprises in the very very long term, when the continued production of novelty creates progressively rarer and rarer objects that might actually endanger the novelty-generating mechanism. An example is described here. See also section 7 (among others) in Nick Gotts's summary of "patterns with eventful history", from way back when blogs were a new thing -- search for "nikk-nikkm1r90-w4s164".

Nick's research in Sparse Life has probably gone the furthest toward figuring out "what happens in the long term", or "what can happen in the long term", anyway, for these kinds of expanding feedback networks.

[Gliderstorm]

There are also breeder-versions. This example smashes longer and longer glider streams into each-other's switch engine-rakes. It bogs down Golly by the 500k mark.

Code: Select all

x = 8192, y = 8192, rule = B3/S23
4389bo$4390bo$4386bo3bo$4387b4o29$4519bo$4520bo$4516bo3bo$4517b4o4$
4516bo$4517b2o$4518bo$4518bo$4517bo3$4519bo$4520bo$4516bo3bo$4517b4o
58$439bo$440bo$440bo$437bo2bo$438b3o169$395b2o$396b2o$394bobo$395bo$
395bo100$648bo$649bo$649bo$646bo2bo$647b3o6$1942bo$1940bo2b2o$1940b3o$
1941bo14$634bo$633bo$633bo$633bo$633bo2bo$633b3o21$1770bo$1771bo$1767b
o3bo$1768b4o140$2560bo$2559b2o$2558bobo17$2591b3o34$2072b5o$2071bo4bo$
2076bo$2075bo10$2047bo$2048bo$2044bo3bo$2045b4o249$582bo$581bo$580b3o
31$599bo$599bo$599bo1793$2bo$3bo$3bo$o2bo$b3o126$34bo4bo8bo$35bo4bo2bo
5bo$35bo4b3o6bo$32bo2bo10bo2bo$33b3o11b3o!

The general idea is that many streams at once is better than one stream. A stream-breaker would have to cut off every stream it encounters. And even then, new streams are created at c/2 (or diag c/4, or knight (2,1) c/6) so the killer pattern cannot outpace newly-formed streams.

If we had two t^1.5 patterns (where the pattern makes guns slower and slower) we could have ever-increasing inter-stream spacings. Most t^1.5 patterns lay down guns at a constant rate and enable them every sqrt(t), which wouldn't work.

[IlTifoneHaiyan]

Most messy puffers stabilize fairly quickly.

However, linepuffer (https://conwaylife.com/wiki/Line_puffer) seems to take exponentially long with it's width. Too bad it can't expand as it goes.

In order to have an aperiodic pattern you need a growing feedback loop.
qqd found this pattern that is a deceptively simple case of two LWSS streams bashing debris:

Code: Select all

x = 127, y = 108, rule = B3/S23
90b2o$86b4ob2o$86b6o$87b4o2$102b2o$100b2ob2o$86bo9bo3b4o$85bo11bo3b2o$
85b3o7bo2bo$97bo3b2o$96bo3b4o$100b2ob2o$68bo18b2o13b2o$67bo17bo4bo$67b
3o21bo$85bo5bo$86b6o$72b2o$71b2o$73bo2$70bo40b2o$70b2o35b4ob2o$69bobo
18b2o15b6o$89b2o17b4o9bo2bo$91bo33bo$121bo3bo$76bo36bo3bo4b4o$76b2o8b
4o23bo4b2o$75bobo7bo3bo18b2o7b3o$89bo17b2o9b2o$85bo2bo20bo7bo4b4o$121b
o3bo$82b3o14b2o24bo$82b3o13b4o19bo2bo$81bo3bo12b2ob2o$83b2o6bo2bo5b2o
6b6o$o79bo10bo3bo11bo5bo$3o73bo3b2ob2o5bo4b2o16bo$bo73bobo5b2o6bo3bo
11bo4bo$74bo3b2o2bo2bo5bo2bo5b2o7b2o$82bo2bo12b2ob2o$75bo5bo3bo12b4o$
77b7o15b2o2$88b6o$87bo5bo$93bo$79bo2bo4bo4bo$83bo5b2o$79bo3bo$80b4o3$
91b2o$87b4ob2o$87b6o$88b4o2$103b2o$101b2ob2o$87bo9bo3b4o$86bo11bo3b2o$
86b3o7bo2bo$98bo3b2o$97bo3b4o$101b2ob2o$69bo18b2o13b2o$68bo17bo4bo$68b
3o21bo$86bo5bo$87b6o$73b2o$72b2o$74bo2$71bo40b2o$71b2o35b4ob2o$70bobo
18b2o15b6o$90b2o17b4o9bo2bo$92bo33bo$122bo3bo$77bo36bo3bo4b4o$77b2o8b
4o23bo4b2o$76bobo7bo3bo18b2o7b3o$90bo17b2o9b2o$86bo2bo20bo7bo4b4o$122b
o3bo$83b3o14b2o24bo$83b3o13b4o19bo2bo$82bo3bo12b2ob2o$84b2o6bo2bo5b2o
6b6o$81bo10bo3bo11bo5bo$77bo3b2ob2o5bo4b2o16bo$76bobo5b2o6bo3bo11bo4bo
$75bo3b2o2bo2bo5bo2bo5b2o7b2o$83bo2bo12b2ob2o$76bo5bo3bo12b4o$78b7o15b
2o2$89b6o$88bo5bo$94bo$80bo2bo4bo4bo$84bo5b2o$80bo3bo$81b4o!

The two LHWSS streams pile on more debris as they go along. However, the upper stream builds more slowly and both streams shoot gliders upward. This makes it possible to shoot gliders way ahead of the upper stream which closes a the feedback loop. What ultimately dooms it is a LWSS eater that stops the upper stream, after 54 million generations, see viewtopic.php?f=2&t=576&start=2575#p151424.

But IlTifoneHaiyan (original post: viewtopic.php?f=2&t=576&start=2600#p152180) found this pattern that generates a growing feedback loop with crashing glider streams:

Code: Select all

x = 84, y = 29, rule = B3/S23
76bobo$76bo2bo$5bobo71b2o$4bo2bo73bo$3b2o74b4o$2bo75bo4bo$b4o67b3o5bo
2bo$o4bo68bo5bo2bo$o2bo5b3o60bobo7bo$o2bo5bo66bob4o$bo7bobo61bo2bo3bo$
2b4obo60b2o9bo$3bo3bo2bo55bo4bo3b5o$4bo9b2o56bo$4b5o3bo4bo48bo5bo2b5o$
11bo55b6o6bo$4b5o2bo5bo58bo3bo$4bo6b6o59bob4o$3bo3bo66bo7bo$2b4obo66bo
5bo2bo$bo7bo61bob2o5bo2bo$o2bo5bo61bo6bo4bo$o2bo5b2obo66b4o$o4bo6bo68b
o$b4o74b2o$2bo73bo2bo$3b2o71bobo$4bo2bo$5bobo!

The streams move upward and leave a vertical spine of debris, which occasionally sets up a loop where gliders ping-pong between the glider stream and a stump growing on the spine. Presumably the number of ping-pongs is limited (each one consumes gliders from the stream) and the pattern will become periodic.

Can we build a truly "unlimited mess pattern"? There are non-periodic guns (such as primer: https://conwaylife.com/wiki/Primer) but can we use untamed random mess to generate unlimited novelty rather than a tightly controlled process?

I think someone has already found this... idk.

[bibunsekibun]

This pattern can be called an Infinite novelty pattern because it is not possible to predict when a row of diagonal patterns will be generated.

Code: Select all

x = 162, y = 210, rule = B3/S23
11bo5bo$10b3o3b3o$10bob2ob2obo$11b3ob3o$11b2o3b2o2$14bo$13bobo$12bo3bo
$14bo3$22bo$6b3o12b3o$6bo2bo10b2obo$6bo13b3o$6bo3bo9b3o$6bo3bo3bo5b3o$
6bo7bobo4b2o$7bobo4b2o17$83b2o$79b4ob2o$79b6o$80b4o2$95b2o$93b2ob2o$
79bo9bo3b4o$78bo11bo3b2o$78b3o7bo2bo$90bo3b2o$89bo3b4o$93b2ob2o$61bo
18b2o13b2o$60bo17bo4bo$60b3o21bo$78bo5bo$79b6o$65b2o$64b2o$66bo2$63bo
40b2o$63b2o35b4ob2o$62bobo18b2o15b6o$82b2o17b4o9bo2bo$84bo33bo$114bo3b
o$69bo36bo3bo4b4o$69b2o8b4o23bo4b2o$68bobo7bo3bo18b2o7b3o$82bo17b2o9b
2o$78bo2bo20bo7bo4b4o$114bo3bo$75b3o14b2o24bo$75b3o13b4o19bo2bo$74bo3b
o12b2ob2o$76b2o6bo2bo5b2o6b6o$73bo10bo3bo11bo5bo$69bo3b2ob2o5bo4b2o16b
o$68bobo5b2o6bo3bo11bo4bo$67bo3b2o2bo2bo5bo2bo5b2o7b2o$75bo2bo12b2ob2o
$68bo5bo3bo12b4o$70b7o15b2o2$81b6o$80bo5bo$86bo$72bo2bo4bo4bo$76bo5b2o
$72bo3bo$73b4o15$34b2o$33b2ob4o$34b6o$35b4o2$22b2o$21b2ob2o$22b4o3bo9b
o$23b2o3bo11bo$27bo2bo7b3o$23b2o3bo$22b4o3bo$21b2ob2o$22b2o13b2o18bo$
35bo4bo17bo$34bo21b3o$34bo5bo$34b6o$52b2o$53b2o$52bo2$13b2o40bo$12b2ob
4o35b2o$13b6o15b2o18bobo$bo2bo9b4o17b2o$o33bo$o3bo$4o4bo3bo36bo$6b2o4b
o23b4o8b2o$6b3o7b2o18bo3bo7bobo$6b2o9b2o17bo$4o4bo7bo20bo2bo$o3bo$o24b
2o14b3o$bo2bo19b4o13b3o$23b2ob2o12bo3bo$12b6o6b2o5bo2bo6b2o$12bo5bo11b
o3bo10bo$12bo16b2o4bo5b2ob2o3bo$13bo4bo11bo3bo6b2o5bobo$15b2o7b2o5bo2b
o5bo2bo2b2o3bo$23b2ob2o12bo2bo$24b4o12bo3bo5bo$25b2o15b7o2$32b6o$32bo
5bo$32bo$33bo4bo4bo2bo$35b2o5bo$42bo3bo$42b4o35$152b2o4bobo$145b2o4bob
o7bo$145b3o5bo3bo3bo$145b3o9bo3bo$145b3o13bo$144bob2o10bo2bo$144b3o12b
3o$145bo3$153bo$151bo3bo$152bobo$153bo2$150b2o3b2o$150b3ob3o$149bob2ob
2obo$149b3o3b3o$150bo5bo!

[toroidalet]

If you run it for about 100 million generations, it stabilizes and all future LWSSes crash into a block-pair eater.
Here's a pattern I made a while ago which might work, though you can't run very long:

Code: Select all

x = 885, y = 429, rule = B3/S23
306b4o5b2o$306bo3bo3b2ob2o$306bo8b4o$307bo2bo5b2o2$311bo9b2o$309b3o8b
5o$308bo3bo5bo4b2o$308bo4b5o5b2o$308b2obob4o4b2o$310bo3b2ob3o$311bobo
2$333bo$306b4o24b2o$306bo3bo22b2o$306bo17b4o$307bo2bo13bo3bo$324bo23bo
$325bo2bo20b2o$332b2o14b2o$331b4o$330b2ob2o9bo$331b2o11bo$337bobo4b2o
2bo219b2o5b4o$336b2o2bo7bo217b2ob2o3bo3bo$337bobo4b2o2bo217b4o8bo$331b
2o11bo222b2o5bo2bo$330b2ob2o9bo11b2o20bo$331b4o20b4o20b2o181b2o9bo$
332b2o20b2ob2o19b2o180b5o8b3o$355b2o5b2ob3o192b2o4bo5bo3bo$361bo5b2o
191b2o5b5o4bo$360b2o7bo192b2o4b4obob2o$361bo5b2o196b3ob2o3bo$355b2o5b
2ob3o203bobo$354b2ob2o$355b4o192bo$356b2o191b2o24b4o$374bo2bo172b2o22b
o3bo$373bo183b4o17bo$373bo3bo178bo3bo13bo2bo$373b4o9b2o148bo23bo$379b
3o5b2o145b2o20bo2bo$379b2ob2o6b3o142b2o14b2o$379b3o5b2o161b4o$373b4o9b
2o152bo9b2ob2o$350bo2bo19bo3bo162bo11b2o$349bo23bo162bo2b2o4bobo$349bo
3bo11b2o7bo2bo158bo7bo2b2o$349b4o11bo171bo2b2o4bobo$355b3o2b2o7bo170bo
11b2o$355b3o2b2o8bo11b3o121bo20b2o11bo9b2ob2o$355b3o2b2o7bo14bo119b2o
20b4o20b4o$349b4o11bo18bo121b2o19b2ob2o20b2o$349bo3bo11b2o150b3ob2o5b
2o$258b4o5b2o80bo166b2o5bo$258bo3bo3b2ob2o79bo2bo13b3o145bo7b2o$258bo
8b4o98bo146b2o5bo$259bo2bo5b2o73b2o23bo148b3ob2o5b2o$342b2ob2o179b2ob
2o$325b2o16b4o179b4o$261b2o7bo53b2ob2o15b2o6b3o172b2o$260bobo3b2o7b5o
45b4o25bo152bo2bo$260bo18bo46b2o25bo157bo$260b3o13b3o228bo3bo$271b2o4b
o55bo3bo159b2o9b4o$271b2o55b3o5b2o158b2o5b3o$327b3obo9b2o149b3o6b2ob2o
$326b2o8bo6bo152b2o5b3o$258b4o26bo38bob8o3bo3bo36b3o3b3o5b3o99b2o9b4o$
258bo3bo26b2o37b4o7bo3bo36bo2bo2bo2bo4bo2bo109bo3bo19bo2bo$258bo17b4o
8b2o40bo8bo43bo5bo7bo113bo23bo$259bo2bo13bo3bo102bo5bo7bo109bo2bo7b2o
11bo3bo$276bo57bo2bo42bobo3bobo5bobo123bo11b4o$277bo2bo22bo21b2o6bo
181bo7b2o2b3o$284b2o18b2o18b2ob2o4bo3bo162b3o11bo8b2o2b3o$266b4o13b4o
16b2o20b4o4b4o163bo14bo7b2o2b3o$250bo2bo12bo3bo11b2ob2o9bo29b2o68bo
104bo18bo11b4o$249bo16bo16b2o11bo98b3o120b2o11bo3bo$249bo3bo13bo2bo18b
obo4b2o2bo17bo75b2obo137bo80b2o5b4o$249b4o35b2o2bo7bo18b2o73b3o118b3o
13bo2bo79b2ob2o3bo3bo$289bobo4b2o2bo17b2o75b2o118bo98b4o8bo$276bo6b2o
11bo219bo23b2o73b2o5bo2bo$254bobo18bo6b2ob2o9bo11b2o228b2ob2o$253bo3b
2ob3o12b3o5b4o20b4o227b4o16b2o$251b2obob4o4b2o18b2o20b2ob2o219b3o6b2o
15b2ob2o53bo7b2o$251bo4b5o5b2o39b2o5b2ob3o59b3o148bo25b4o45b5o7b2o3bob
o$251bo3bo5bo4b2o13bo31bo5b2o58bo2bo148bo25b2o46bo18bo$252b3o8b5o12bo
31b2o7bo57bo226b3o13b3o$254bo9b2o14b3o30bo5b2o27bo30bo167bo3bo55bo4b2o
$307b2o5b2ob3o29b2o29bobo164b2o5b3o55b2o$250bo2bo5b2o45b2ob2o37b2o192b
2o9bob3o$249bo8b4o24bo20b4o230bo6bo8b2o$249bo3bo3b2ob2o23bo22b2o177b3o
5b3o3b3o36bo3bo3b8obo38bo26b4o$249b4o5b2o5b2o18b3o199bo2bo4bo2bo2bo2bo
36bo3bo7b4o37b2o26bo3bo$264b2ob2o218bo7bo5bo43bo8bo40b2o8b4o17bo$265b
4o3bo5b3o10b2o28b2o28b2o134bo7bo5bo102bo3bo13bo2bo$266b2o3bob2o3b3o2bo
7b2o28b2o28b2o135bobo5bobo3bobo42bo2bo57bo$270bo3bo6bobo267bo6b2o21bo
22bo2bo$266b2o3bob2o3b3o2bo73b3o5b3o179bo3bo4b2ob2o18b2o18b2o$265b4o3b
o5b3o64b2o9bo2bo4bo2bo180b4o4b4o20b2o16b4o13b4o$264b2ob2o17bo2bo8b4o
42bobo12bo7bo120bo68b2o29bo9b2ob2o11bo3bo12bo2bo$265b2o18bo12bo3bo10bo
32bo12bo7bo119b3o98bo11b2o16bo16bo$285bo3bo8bo7b2o4bobo41bobo5bobo120b
ob2o75bo17bo2b2o4bobo18bo2bo13bo3bo$285b4o10bo2bo2b4o3bo2b2o171b3o73b
2o18bo7bo2b2o35b4o$304b2o3bo5bob2o169b2o75b2o17bo2b2o4bobo$299bo2bo2b
4o3bo2b2o271bo11b2o6bo$298bo7b2o4bobo51bo208b2o11bo9b2ob2o6bo18bobo$
298bo3bo10bo51b3o206b4o20b4o5b3o12b3ob2o3bo$274b4o20b4o62b2obo206b2ob
2o20b2o18b2o4b4obob2o$274bo3bo36b2o47b3o136b3o59b3ob2o5b2o39b2o5b5o4bo
$274bo7bo31bobo48b2o135bo2bo58b2o5bo31bo13b2o4bo5bo3bo$275bo2bo2b7o28b
o188bo57bo7b2o31bo12b5o8b3o$280b2ob3o2bo216bo30bo27b2o5bo30b3o14b2o9bo
$275bo2bo2b7o214bobo29b2o29b3ob2o5b2o$274bo7bo17b2o233b2o37b2ob2o45b2o
5bo2bo$274bo3bo20bobo47b3o222b4o20bo24b4o8bo$274b4o23bo47bo2bo222b2o
22bo23b2ob2o3bo3bo$349bo247b3o18b2o5b2o5b4o$269b2o78bo266b2ob2o$268b4o
13b2o63bobo179b2o28b2o28b2o10b3o5bo3b4o$198b4o5b2o42b2o14b2ob2o12bobo
245b2o28b2o28b2o7bo2b3o3b2obo3b2o$198bo3bo3b2ob2o39b4o14b2o16bo314bobo
6bo3bo$198bo8b4o38b2ob2o263b3o5b3o73bo2b3o3b2obo3b2o$199bo2bo5b2o40b2o
265bo2bo4bo2bo9b2o64b3o5bo3b4o$272bo244bo7bo12bobo42b4o8bo2bo17b2ob2o$
211bo59b3o243bo7bo12bo32bo10bo3bo12bo18b2o$201b2o8b2o42bo11bo3b2obo
243bobo5bobo41bobo4b2o7bo8bo3bo$200bo2bo9bo39b4o10bo6bo293b2o2bo3b4o2b
o2bo10b4o$200bo2bo4b5o39bob5o14bo53b3o5b3o228b2obo5bo3b2o$200b2ob2o3b
4o39b2o6bo66bo2bo4bo2bo230b2o2bo3b4o2bo2bo$202b2o4bo43b3obo3bo68bo7bo
180bo51bobo4b2o7bo$253b3o3bo69bo7bo179b3o51bo10bo3bo$223bobo32bo67bobo
5bobo180bob2o62b4o20b4o$222b3o293b3o47b2o36bo3bo$198b4o20b3o26b2o265b
2o48bobo31bo7bo$198bo3bo47b4o4b4o306bo28b7o2bo2bo$198bo17b4o29b2ob2o4b
o3bo73bo259bo2b3ob2o$199bo2bo13bo3bo16bo12b2o6bo76b3o259b7o2bo2bo$216b
o21b2o19bo2bo71b2obo245b2o17bo7bo$217bo2bo16b2o95b3o196b3o47bobo20bo3b
o$224b2o109b2o195bo2bo47bo23b4o$206b4o13b4o308bo$190bo2bo12bo3bo11b2ob
2o9bo15bo282bo78b2o$189bo16bo16b2o11bo16b2o277bobo63b2o13b4o$189bo3bo
13bo2bo18bobo4b2o2bo11b2o344bobo12b2ob2o14b2o42b2o5b4o$189b4o35b2o2bo
7bo78b3o276bo16b2o14b4o39b2ob2o3bo3bo$211b3o15bobo4b2o2bo78bo2bo308b2o
b2o38b4o8bo$223b2o11bo82bo313b2o40b2o5bo2bo$195b2o14bo2bo7b2ob2o9bo11b
2o15bo2b2o49bo292bo$193bo18bobo8b4o20b4o13bo3bo51bobo288b3o59bo$191b2o
4b2o20bo4b2o20b2ob2o15bo343bob2o3bo11bo42b2o8b2o$191bo6b2o18bo28b2o5b
2ob3o350bo6bo10b4o39bo9bo2bo$191bo7b2o17b3o32bo5b2o286b3o5b3o53bo14b5o
bo39b5o4bo2bo$192bo2bo3bo52b2o7bo285bo2bo4bo2bo66bo6b2o39b4o3b2ob2o$
194bo58bo5b2o286bo7bo68bo3bob3o43bo4b2o$224bo22b2o5b2ob3o287bo7bo69bo
3b3o$190bo2bo5b2o22bo22b2ob2o297bobo5bobo67bo32bobo$189bo8b4o21b3o21b
4o46bo362b3o$189bo3bo3b2ob2o46b2o48b2o5b3o324b2o26b3o20b4o$189b4o5b2o
5b2o89bo2bo4bo2bo315b4o4b4o47bo3bo$204b2ob2o20bo66bo2bo7bo240bo73bo3bo
4b2ob2o29b4o17bo$205b4o3bo5b3o7bo8b2o28b2o30bo7bo239b3o76bo6b2o12bo16b
o3bo13bo2bo$206b2o3bob2o3b3o2bo4b3o6b2o28b2o25bo3bo5bobo240bob2o71bo2b
o19b2o21bo$210bo3bo6bobo69bo254b3o95b2o16bo2bo$206b2o3bob2o3b3o2bo71b
2o251b2o109b2o$205b4o3bo5b3o437b4o13b4o$204b2ob2o17bo2bo8b4o64bo325bo
15bo9b2ob2o11bo3bo12bo2bo$205b2o18bo12bo3bo10bo51b3o322b2o16bo11b2o16b
o16bo$225bo3bo8bo7b2o4bobo49b2obo323b2o11bo2b2o4bobo18bo2bo13bo3bo$
225b4o10bo2bo2b4o3bo2b2o47b3o256b3o78bo7bo2b2o35b4o$244b2o3bo5bob2o46b
2o255bo2bo78bo2b2o4bobo15b3o$239bo2bo2b4o3bo2b2o308bo82bo11b2o$238bo7b
2o4bobo310bo49b2o2bo15b2o11bo9b2ob2o7bo2bo14b2o$238bo3bo10bo308bobo51b
o3bo13b4o20b4o8bobo18bo$214b4o20b4o376bo15b2ob2o20b2o4bo20b2o4b2o$214b
o3bo70b3o333b3ob2o5b2o28bo18b2o6bo$214bo7bo66bo2bo331b2o5bo32b3o17b2o
7bo$215bo2bo2b7o21b2o38bo333bo7b2o52bo3bo2bo$220b2ob3o2bo19bobo38bo
334b2o5bo58bo$215bo2bo2b7o22bo39bobo332b3ob2o5b2o22bo$214bo7bo411b2ob
2o22bo22b2o5bo2bo$214bo3bo12bobo353bo46b4o21b3o21b4o8bo$214b4o14b4o
341b3o5b2o48b2o46b2ob2o3bo3bo$232bo2bo341bo2bo4bo2bo89b2o5b2o5b4o$209b
2o24bo341bo7bo2bo66bo20b2ob2o$208b4o365bo7bo30b2o28b2o8bo7b3o5bo3b4o$
140b4o5b2o40b2o14b2ob2o366bobo5bo3bo25b2o28b2o6b3o4bo2b3o3b2obo3b2o$
140bo3bo3b2ob2o37b4o14b2o9b2o370bo69bobo6bo3bo$140bo8b4o36b2ob2o24bobo
54b3o310b2o71bo2b3o3b2obo3b2o$141bo2bo5b2o38b2o28bo53bo2bo386b3o5bo3b
4o$277bo300bo64b4o8bo2bo17b2ob2o$145b2o130bo299b3o51bo10bo3bo12bo18b2o
$143b5o11b2obo39b2o70bobo300bob2o49bobo4b2o7bo8bo3bo$142bo4bo10bo5bo
36bo2bo373b3o47b2o2bo3b4o2bo2bo10b4o$142bo2b3o10bo33b2o13b3o368b2o46b
2obo5bo3b2o$142b2o2bo11bo5bo26b2o5bo8bo2bo417b2o2bo3b4o2bo2bo$144b2o9b
2o2bo3bo28b2o4bo3bo3b2ob2o65bo353bobo4b2o7bo$155b2o3b3o30bo3bo4bo72b3o
353bo10bo3bo$200bo73b2obo365b4o20b4o$274b3o316b3o70bo3bo$140b4o47b2o
82b2o315bo2bo66bo7bo$140bo3bo28bo16b4o4b4o393bo38b2o21b7o2bo2bo$140bo
17b4o12b2o13b2ob2o4bo3bo392bo38bobo19bo2b3ob2o$141bo2bo13bo3bo10b2o15b
2o6bo393bobo39bo22b7o2bo2bo$158bo40bo2bo459bo7bo$159bo2bo96b3o389bobo
12bo3bo$166b2o91bo2bo386b4o14b4o$148b4o13b4o19bo70bo389bo2bo$132bo2bo
12bo3bo11b2ob2o9bo9bo70bo389bo24b2o$131bo16bo16b2o11bo81bobo410b4o$
131bo3bo13bo2bo18bobo4b2o2bo490b2ob2o14b2o40b2o5b4o$131b4o35b2o2bo7bo
20bo460b2o9b2o14b4o37b2ob2o3bo3bo$171bobo4b2o2bo21b2o401b3o54bobo24b2o
b2o36b4o8bo$165b2o11bo24b2o402bo2bo53bo28b2o38b2o5bo2bo$144b2o13bo4b2o
b2o9bo11b2o415bo$144b2o4bo7bo6b4o20b4o414bo130b2o$133b3o13b3o6b3o5b2o
20b2ob2o415bobo70b2o39bob2o11b5o$133bo18bo36b2o5b2ob3o478bo2bo36bo5bo
10bo4bo$133bobo3b2o7b5o42bo5b2o42b3o427b3o13b2o33bo10b3o2bo$134b2o7bo
20bo29b2o7bo40bo2bo426bo2bo8bo5b2o26bo5bo11bo2b2o$163bo31bo5b2o44bo
360bo65b2ob2o3bo3bo4b2o28bo3bo2b2o9b2o$163b3o23b2o5b2ob3o45bo359b3o72b
o4bo3bo30b3o3b2o$132bo2bo5b2o45b2ob2o51bobo360bob2o73bo$131bo8b4o45b4o
415b3o$131bo3bo3b2ob2o25bo20b2o416b2o82b2o47b4o$131b4o5b2o5b2o19bo514b
4o4b4o16bo28bo3bo$146b2ob2o17b3o75bo435bo3bo4b2ob2o13b2o12b4o17bo$147b
4o3bo5b3o22b2o28b2o28b3o438bo6b2o15b2o10bo3bo13bo2bo$148b2o3bob2o3b3o
2bo19b2o28b2o27b2obo434bo2bo40bo$152bo3bo6bobo78b3o376b3o96bo2bo$148b
2o3bob2o3b3o2bo8bo70b2o375bo2bo91b2o$147b4o3bo5b3o11bo450bo70bo19b4o
13b4o$146b2ob2o17bo2bo8b4o441bo70bo9bo9b2ob2o11bo3bo12bo2bo$147b2o18bo
12bo3bo10bo426bobo81bo11b2o16bo16bo$167bo3bo8bo7b2o4bobo505bo2b2o4bobo
18bo2bo13bo3bo$167b4o10bo2bo2b4o3bo2b2o30b3o449bo20bo7bo2b2o35b4o$186b
2o3bo5bob2o28bo2bo446b2o21bo2b2o4bobo$181bo2bo2b4o3bo2b2o30bo450b2o24b
o11b2o$180bo7b2o4bobo32bo463b2o11bo9b2ob2o4bo13b2o$180bo3bo10bo34bobo
459b4o20b4o6bo7bo4b2o$156b4o20b4o16b2o490b2ob2o20b2o5b3o6b3o13b3o$156b
o3bo38bobo481b3ob2o5b2o36bo18bo$156bo7bo36bo435b3o42b2o5bo42b5o7b2o3bo
bo$157bo2bo2b7o467bo2bo40bo7b2o29bo20bo7b2o$162b2ob3o2bo466bo44b2o5bo
31bo$157bo2bo2b7o467bo45b3ob2o5b2o23b3o$156bo7bo473bobo51b2ob2o45b2o5b
o2bo$156bo3bo531b4o45b4o8bo$156b4o533b2o20bo25b2ob2o3bo3bo$716bo19b2o
5b2o5b4o$151b2o17b2o466bo75b3o17b2ob2o$150b4o15bobo465b3o28b2o28b2o22b
3o5bo3b4o$133b2o14b2ob2o17bo465bob2o27b2o28b2o19bo2b3o3b2obo3b2o$90bo
2bo38b4o14b2o486b3o78bobo6bo3bo$81b2o6bo41b2ob2o502b2o70bo8bo2b3o3b2ob
o3b2o$80b2ob2o4bo3bo38b2o21b2o553bo11b3o5bo3b4o$81b4o4b4o63b2o58bo484b
4o8bo2bo17b2ob2o$82b2o131b3o471bo10bo3bo12bo18b2o$157b2o55b2obo470bobo
4b2o7bo8bo3bo$135b2o77b3o436b3o30b2o2bo3b4o2bo2bo10b4o$84b4o12bobo31bo
bo3b3o72b2o435bo2bo28b2obo5bo3b2o$83b2o2bo11b2ob3o28b2obo6b3o509bo30b
2o2bo3b4o2bo2bo$82b2o2bo11b3ob3o29b2o9bo509bo32bobo4b2o7bo$83bo2bo12b
2ob2o31bo7b3o506bobo34bo10bo3bo$84b2o9b2o3b3o580b2o16b4o20b4o$95b2o4bo
97b3o481bobo38bo3bo$133b2o64bo2bo480bo36bo7bo$132b4o4b4o55bo515b7o2bo
2bo$81b2o48b2ob2o4bo3bo54bo514bo2b3ob2o$80b2ob2o29bo17b2o6bo59bobo512b
7o2bo2bo$81b4o14b2o11bobo26bo2bo575bo7bo$82b2o14b2ob2o10b2o609bo3bo$
99b4o622b4o$100b2o$713b2o17b2o$89b2o14b4o18bobo583bobo15b4o$73b2o13b2o
b2o12bo3bo9bo8bo584bo17b2ob2o14b2o$72b4o13b4o12bo11b2o614b2o14b4o38bo
2bo$71b2ob2o14b2o14bo2bo2b2o5b3o627b2ob2o41bo6b2o$72b2o37b3o6b3o21bo
583b2o21b2o38bo3bo4b2ob2o$106bo2bo2b2o5b3o20bobo523bo58b2o63b4o4b4o$
105bo11b2o24b2o522b3o131b2o$84b2o14bo4bo3bo9bo547bob2o55b2o$83bo2bo11b
2o5b4o20b4o535b3o77b2o$74b2o13b3o7b2o28bo3bo534b2o72b3o3bobo31bobo12b
4o$73b2o5bo8bo2bo36bo7bo601b3o6bob2o28b3ob2o11bo2b2o$74b2o4bo3bo3b2ob
2o37bo2bo2b7o43bo552bo9b2o29b3ob3o11bo2b2o$75bo3bo4bo20bo29b2ob3o2bo
41b3o551b3o7bo31b2ob2o12bo2bo$82bo20b2o25bo2bo2b7o41b2obo594b3o3b2o9b
2o$104b2o23bo7bo46b3o496b3o97bo4b2o$73b2o54bo3bo51b2o495bo2bo64b2o$72b
4o4b4o45b4o552bo55b4o4b4o$71b2ob2o4bo3bo3bo2bo18bo574bo54bo3bo4b2ob2o
48b2o$72b2o6bo6bo20b2o572bobo59bo6b2o17bo29b2ob2o$81bo2bo2bo3bo17b2o
629bo2bo26bobo11b2o14b4o$87b4o9b2o23b2o28b2o12b3o598b2o10b2ob2o14b2o$
93b3o5b2o22b2o28b2o12bo2bo609b4o$93b2ob2o6b3o62bo613b2o$93b3o5b2o10bo
55bo$87b4o9b2o12b2o54bobo582bobo18b4o14b2o$87bo3bo17b2o10b2o633bo8bo9b
o3bo12b2ob2o13b2o$87bo20b4o8b2ob2o641b2o11bo12b4o13b4o$88bo2bo15b2ob2o
9b4o3bo5b3o626b3o5b2o2bo2bo14b2o14b2ob2o$108b2o12b2o3bob2o3b3o2bo600bo
21b3o6b3o37b2o$126bo3bo6bobo600bobo20b3o5b2o2bo2bo$122b2o3bob2o3b3o2bo
600b2o24b2o11bo$121b4o3bo5b3o628bo9bo3bo4bo14b2o$120b2ob2o627b4o20b4o
5b2o11bo2bo$97b2o22b2o17bo610bo3bo28b2o7b3o13b2o$96b2ob2o12bo26b2o605b
o7bo36bo2bo8bo5b2o$97b4o3bo8bo25bobo556bo43b7o2bo2bo37b2ob2o3bo3bo4b2o
$98b2o3bobo2b2o587b3o41bo2b3ob2o29bo20bo4bo3bo$102bo3b2o2bo6b2o578bob
2o41b7o2bo2bo25b2o20bo$98b2o3bobo2b2o588b3o46bo7bo23b2o$97b4o3bo8bo
584b2o51bo3bo54b2o$96b2ob2o12bo638b4o45b4o4b4o$97b2o675bo18bo2bo3bo3bo
4b2ob2o$10bo2bo5b2o754b2o20bo6bo6b2o$9bo8b4o88bo663b2o17bo3bo2bo2bo$9b
o3bo3b2ob2o68b4o16b2o601b3o12b2o28b2o23b2o9b4o$9b4o5b2o70bo3bo14bobo
600bo2bo12b2o28b2o22b2o5b3o$72b4o14bo624bo62b3o6b2ob2o$23bo48bo3bo14bo
2bo620bo55bo10b2o5b3o$23b2o47bo639bobo54b2o12b2o9b4o$13b2o7b2obo47bo2b
o18b3o664b2o10b2o17bo3bo$11b2o2bo7bobo71bo41b3o618b2ob2o8b4o20bo$11bo
2b3o3bo3b2o71b2o40bo2bo605b3o5bo3b4o9b2ob2o15bo2bo$11bo4bo2b3obo51b2o
3b2o57bo605bo2b3o3b2obo3b2o12b2o$12b5o57bobo6bo55bo605bobo6bo3bo$14b2o
58bo6bo2bo55bobo602bo2b3o3b2obo3b2o$74b3o7b2o662b3o5bo3b4o$10bo2bo20bo
bo46b2o675b2ob2o$9bo25b2o707bo17b2o22b2o$9bo3bo14bo2bo3bo707b2o26bo12b
2ob2o$9b4o14bo715bobo25bo8bo3b4o$27bo3bo40b4o5b2o692b2o2bobo3b2o$27b4o
18bobo20bo3bo3b2ob2o681b2o6bo2b2o3bo$50b2o20bo8b4o690b2o2bobo3b2o$18bo
2bo28bo22bo2bo5b2o687bo8bo3b4o$17bo16b2o735bo12b2ob2o$17bo3bo11b2ob2o
748b2o$4o13b4o13b4o3bo5b3o14bobo797b2o5bo2bo$o3bo30b2o3bob2o3b3o2bo12b
2o707bo88b4o8bo$o22b2o14bo3bo6bobo12bo707b2o16b4o68b2ob2o3bo3bo$bo2bo
20bo9b2o3bob2o3b3o2bo720bobo14bo3bo70b2o5b4o$25bo8b4o3bo5b3o744bo14b4o
$25b2o6b2ob2o41bobo708bo2bo14bo3bo48bo$3b2o3b2o24b2o22b2o19bobo730bo
47b2o$2bobo6bo45b2ob2o8bo9bo706b3o18bo2bo47bob2o7b2o$2bo6bo2bo17bo27b
4o3bo4bobo670b3o41bo71bobo7bo2b2o$2b3o7b2o16bobo26b2o3bo5bo2bo668bo2bo
40b2o71b2o3bo3b3o2bo$11b2o17b2o31bo2bo6bo671bo57b2o3b2o51bob3o2bo4bo$
59b2o3bo5bo2bo671bo55bo6bobo57b5o$58b4o3bo4bobo669bobo55bo2bo6bo58b2o$
35bo21b2ob2o8bo728b2o7b3o$4o5b2o24bobo20b2o49b3o688b2o46bobo20bo2bo$o
3bo3b2ob2o4b2o16b2o72bo2bo735b2o25bo$o8b4o3b4o89bo739bo3bo2bo14bo3bo$b
o2bo5b2o3b2ob2o11bo77bo747bo14b4o$16b2o5bo2bo3bob2o6bo8b2o28b2o29bobo
689b2o5b4o40bo3bo$22bo3bo4b5o4bobo6b2o28b2o719b2ob2o3bo3bo20bobo18b4o$
21b2o4bo4bo2bo4b2o758b4o8bo20b2o$22bo3bo4b5o765b2o5bo2bo22bo28bo2bo$
16b2o5bo2bo3bob2o16bo2bo795b2o16bo$15b2ob2o11bo17bo797b2ob2o11bo3bo$
16b4o16b4o9bo3bo11b2o751bobo14b3o5bo3b4o13b4o13b4o$17b2o17bo3bo8b4o11b
o753b2o12bo2b3o3b2obo3b2o30bo3bo$36bo18b3o2b2o7bo749bo12bobo6bo3bo14b
2o22bo$37bo2bo14b3o2b2o8bo761bo2b3o3b2obo3b2o9bo20bo2bo$55b3o2b2o7bo
765b3o5bo3b4o8bo$49b4o11bo738bobo41b2ob2o6b2o$26bo2bo19bo3bo11b2o736bo
bo19b2o22b2o24b2o3b2o$25bo23bo754bo9bo8b2ob2o45bo6bobo$25bo3bo7bo12bo
2bo758bobo4bo3b4o27bo17bo2bo6bo$25b4o4bo3b3o771bo2bo5bo3b2o26bobo16b2o
7b3o$31b2o5b2o21b3o747bo6bo2bo31b2o17b2o$31b3o6bo22bo747bo2bo5bo3b2o$
31b2o5b2o22bo749bobo4bo3b4o$25b4o4bo3b3o774bo8b2ob2o21bo$25bo3bo7bo
735b3o49b2o20bobo24b2o5b4o$25bo18bob3o723bo2bo72b2o16b2o4b2ob2o3bo3bo$
26bo2bo17b2o726bo89b4o3b4o8bo$775bo77bo11b2ob2o3b2o5bo2bo$19b2o751bobo
29b2o28b2o8bo6b2obo3bo2bo5b2o$18b2ob2o781b2o28b2o6bobo4b5o4bo3bo$b2o
16b4o8b3o809b2o4bo2bo4bo4b2o$2ob2o15b2o11bo815b5o4bo3bo$b4o27bo798bo2b
o16b2obo3bo2bo5b2o$2b2o831bo17bo11b2ob2o$818b2o11bo3bo9b4o16b4o$14b2o
804bo11b4o8bo3bo17b2o$4bo9b2o3b3o793bo7b2o2b3o18bo$3b2o14b3o792bo8b2o
2b3o14bo2bo$2b2obo12bo3bo792bo7b2o2b3o$3bobo13b4o797bo11b4o$4b2o13b3o
796b2o11bo3bo19bo2bo$835bo23bo$831bo2bo12bo7bo3bo$10bo2bo831b3o3bo4b4o
$b2o6bo811b3o21b2o5b2o$2ob2o4bo3bo807bo22bo6b3o$b4o4b4o809bo22b2o5b2o$
2b2o841b3o3bo4b4o$847bo7bo3bo$836b3obo18bo$836b2o17bo2bo2$864b2o$862b
2ob2o$851b3o8b4o16b2o$851bo11b2o15b2ob2o$852bo27b4o$881b2o2$869b2o$
863b3o3b2o9bo$863b3o14b2o$862bo3bo12bob2o$862b4o13bobo$863b3o13b2o3$
871bo2bo$875bo6b2o$871bo3bo4b2ob2o$872b4o4b4o$881b2o!

[bibunsekibun]

If you run it for about 100 million generations, it stabilizes and all future LWSSes crash into a block-pair eater.

13 billion more steps and the glider collides with the blinker, resulting in a TL. This causes the LWSS to resume collisions.