Construction Challenges and Ideas

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
AlbertArmStain
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Re: Construction Challenges and Ideas

Post by AlbertArmStain » October 27th, 2023, 11:42 am

If there’s a linear propagator then there needs to be a quadratic propagator. I also want to see a replicator that can emulate an elementary CA (no, I’m not taking about using the 0E0P metacell for any of these)

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dvgrn
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Re: Construction Challenges and Ideas

Post by dvgrn » October 27th, 2023, 12:01 pm

AlbertArmStain wrote:
October 27th, 2023, 11:42 am
If there’s a linear propagator then there needs to be a quadratic propagator. I also want to see a replicator that can emulate an elementary CA (no, I’m not taking about using the 0E0P metacell for any of these)
There is in fact a "quadratic propagator" (DOGun SaGaQR, in one of its configurations).

Either DOGun SaGaQR or (with more effort) the linear propagator could be adjusted to emulate an elementary I-dimensional CA. The linear propagator already does emulate one particularly boring elementary ID CA. Are you saying that you're looking for something that could be programmed / adjusted to emulate some particular range of elementary CAs?

AlbertArmStain
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Re: Construction Challenges and Ideas

Post by AlbertArmStain » October 27th, 2023, 6:15 pm

dvgrn wrote:
October 27th, 2023, 12:01 pm
Are you saying that you're looking for something that could be programmed / adjusted to emulate some particular range of elementary CAs?
I'm definitely looking for something that can be programmed, I don't know how you could interpret it differently.

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dvgrn
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Re: Construction Challenges and Ideas

Post by dvgrn » October 27th, 2023, 6:42 pm

AlbertArmStain wrote:
October 27th, 2023, 6:15 pm
dvgrn wrote:
October 27th, 2023, 12:01 pm
Are you saying that you're looking for something that could be programmed / adjusted to emulate some particular range of elementary CAs?
I'm definitely looking for something that can be programmed, I don't know how you could interpret it differently.
Well, theoretically speaking, it's possible read what you actually said, literally. The linear propagator is a "replicator that can emulate an elementary CA".

I was pretty sure you didn't mean that -- but then the question was whether you were thinking of emulating some other single, specific elementary CA (just a more interesting one than what the linear propagator emulates) -- or if you really wanted it to be programmable.

The thing is, a programmable self-destructing linear-propagator-type pattern is going to have to be quite a lot more complicated than the linear propagator -- which doesn't need self-destruct circuitry, it doesn't need circuitry for communicating with neighbors, and it doesn't need editable lookup tables to determine the rule being emulated.

it would be a lot easier to build a programmable linear propagator in 2023 than it was in 2013, a.k.a. 4 B.C.S. (Before the Coming of Slsparse) -- when I had to build all the slow-salvo recipes by hand one still life at a time. But even in 2023, a programmable linear propagator seems like it will have to end up looking kind of like a stripped-down version of the 0E0P metacell -- it needs all the same kinds of pieces, just maybe not so many of them.

For that matter, it would be easier to build something like the 0E0P metacell in 2023 than it was in 2014 through 2018. We could consider a redesign of the 0E0P metacell, maybe cutting it down to emulating just the Life-like subset of rules, and end up with something that Golly could run through a full cycle in days or weeks instead of months or years. Maybe that design could also support 1D CAs as an option.

The usual limitation would presumably remain in force -- no B0 rules need apply.

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Re: Construction Challenges and Ideas

Post by AlbertArmStain » October 31st, 2023, 3:00 pm

dvgrn wrote:
October 27th, 2023, 6:42 pm

For that matter, it would be easier to build something like the 0E0P metacell in 2023 than it was in 2014 through 2018.
That definitely makes sense. While we’re talking about the 0E0P metacell, has anyone tried reducing 0E0P metacell or maybe make it more Hashlife friendly? This would be way easier to do now that DOGun SaGaQR exists, should we give reducing the 0E0P metacell a try?

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confocaloid
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Re: Construction Challenges and Ideas

Post by confocaloid » December 16th, 2023, 3:42 am

A collection of true period N glider guns for N = 2023, 2022, 2021, ..., 1999, ... where the period-N gun is not allowed to rely on reactions or mechanisms that were discovered later than year N. (E.g. the Snark cannot be used for periods N < 2013, but it can be used for N >= 2013.)
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hotcrystal0
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Re: Construction Challenges and Ideas

Post by hotcrystal0 » December 24th, 2023, 4:15 pm

confocaloid wrote:
December 16th, 2023, 3:42 am
A collection of true period N glider guns for N = 2023, 2022, 2021, ..., 1999, ... where the period-N gun is not allowed to rely on reactions or mechanisms that were discovered later than year N. (E.g. the Snark cannot be used for periods N < 2013, but it can be used for N >= 2013.)
At some point, likely between 1975 and 1995, the guns becomes impossible to construct. Where exactly does that point fall?

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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snowman
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Re: Construction Challenges and Ideas

Post by snowman » December 24th, 2023, 5:11 pm

p1980 (30x66) should be possible by multiplying the period of a GGG, something I suspect was possible by 1980. The duplicator on the Wiki is dated 1993, though, and I can't find an earlier example. The proof of universality featured in Conway's book in 1982 likely would've used something of the sort.

Here's a p1980 extension of the p60 glider shuttle found in 1971:

Code: Select all

x = 275, y = 247, rule = B3/S23
2bo4bo$2ob4ob2o$2bo4bo241$256bo$257b2o8bo4bo$256b2o7b2ob4ob2o$267bo4bo
!
. p1978 (46x43) might be possible with p46 technology depending on how much of it was known at the time, but I kind of doubt it. p46 guns were known about by 1971.

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dvgrn
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Re: Construction Challenges and Ideas

Post by dvgrn » December 24th, 2023, 6:34 pm

As far as a continuous series of guns starting with p2023 and working backwards, I think there's a hard stop after no more than twenty years. 1994 almost certainly wasn't buildable, and 1993 definitely wasn't.

In 1995 there would have been no trouble building a Herschel-based p1995 gun. Same for any later year.

Offhand I can't think of how someone would have built a p1994 = period 997 * 2 gun in 1994.

But it's a definite fact that no true-period glider guns of any odd period at all were known before 1995 -- so 1993 is definitely out.

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calcyman
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Re: Construction Challenges and Ideas

Post by calcyman » December 24th, 2023, 6:47 pm

snowman wrote:
December 24th, 2023, 5:11 pm
. p1978 (46x43) might be possible with p46 technology depending on how much of it was known at the time, but I kind of doubt it.
Here's a p1978 gun that could have been built in 1978:

Code: Select all

x = 371, y = 355, rule = B3/S23
115b2o5b2o$115b2o5b2o13$54b2o5b2o$54b2o5b2o2$114b2obo3bob2o$114bo2bo3b
o2bo$115b3o3b3o9$119bo5bo$118b3o3b3o$117bo2b2ob2o2bo$53b2obo3bob2o53b
3o5b3o$53bo2bo3bo2bo$54b3o3b3o47bo$110bobo$110b2o7$52bo5bo$51b3o3b3o$
50bo2b2ob2o2bo38bo$50b3o5b3o37bo$98b3o$67bo50b2o5b2o$65bobo50b2o5b2o$
66b2o7$87bo$87bobo$78bo8b2o$79bo$4b2o5b2o64b3o$4b2o5b2o38b2o5b2o$51b2o
5b2o$81b2o$81b2o13$3b2obo3bob2o$3bo2bo3bo2bo$4b3o3b3o51bo$64bobo$64b2o
7$2bo5bo$b3o3b3o$o2b2ob2o2bo$3o5b3o2$17bo$15bobo$16b2o7$41bo$41bobo$
28bo12b2o$29bo$27b3o$b2o5b2o$b2o5b2o72$215b2o$215bobo$215bo123$361b2o
5b2o$291b2o5b2o61b2o5b2o$291b2o5b2o41b3o$317b3o21bo$319bo22bo$318bo8$
353b2o$306b2o45bobo$305bobo45bo$307bo$360b3o5b3o$290b3o5b3o59bo2b2ob2o
2bo$290bo2b2ob2o2bo60b3o3b3o$291b3o3b3o62bo5bo$292bo5bo8$358b3o3b3o$
294b3o3b3o54bo2bo3bo2bo$293bo2bo3bo2bo53b2obo3bob2o$293b2obo3bob2o15$
358b2o5b2o$294b2o5b2o55b2o5b2o$294b2o5b2o!
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snowman
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Re: Construction Challenges and Ideas

Post by snowman » December 24th, 2023, 10:37 pm

Very nice! I'm not sure how I missed that idea. Here's a similar design at p1980 I made by stapling p30 guns together in a similar way:

Code: Select all

x = 586, y = 547, rule = B3/S23
81bo$25bo53bobo$25bobo44b2o4bobo17bo$8b2o18b2o4b2o11bo24b2o3bo2bo16b2o
$6bo3bo17b2o4b2o9bobo30bobo15b2o4b2o$5bo5bo16b2o8b2o4bobo17bo14bobo13b
3o4b2o2b2o$2o2b2obo3bo8bo4bobo10b2o3bo2bo16b2o16bo4bobo7b2o4b2o2b2o$2o
3bo5bo9bo3bo18bobo15b2o4b2o16b2o9b2o$6bo3bo5bo2b3o23bobo13b3o4b2o2b2o
13bo10bo$8b2o37bo4bobo7b2o4b2o2b2o$52b2o9b2o$53bo10bo2$80bo$28bo49b2o$
26bobo50b2o$27b2o17bo$44b2o$45b2o3$35bo35bobo$36bo34b2o$34b3o35bo13$
50bo$51bo$49b3o485$553bo$552b2o$552bobo6$560b2o$559b2o$561bo$535b3o$
537bo35b2o$536bo36bo2bo$563bo3b3o7bo6b2o$522b2o38b5o3bo6bo6b2o$522b2o
4bo32b2ob2o3bo7bo$511b2o6b2o6b5ob2o15b2o8b3ob2o3bo3bo2bo$511b2o5b3o5bo
2b2o4bo14b2o9b2ob4o5b2o$519b2o5b2o8bo25b4o$522b2o4bo7bo8b2o16bo$522b2o
12bo8b2o$535bo$533b2o!

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confocaloid
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Re: Construction Challenges and Ideas

Post by confocaloid » January 1st, 2024, 5:24 pm

Constructibility of block arrays is an open problem. How about pseudo still lives / patches of agars made out of other objects (e.g. ponds, tubs, beehives)? Are these constructible?

Code: Select all

x = 75, y = 16, rule = B3/S23
2ob2ob2ob2o$o3bobo3bo8b2ob2ob2ob2o6b2o3b2o3b2o3b2o8bo3bo3bo3bo$bobo3bo
bo9bo3bobo3bo5bo2bobo2bobo2bobo2bo6bobobobobobobobo$2ob2ob2ob2o9bobo3b
obo6bo2bobo2bobo2bobo2bo7bo3bo3bo3bo$19b2ob2ob2ob2o6b2o3b2o3b2o3b2o$2o
b2ob2ob2o50bo3bo3bo3bo$bobo3bobo9b2ob2ob2ob2o6b2o3b2o3b2o3b2o7bobobobo
bobobobo$o3bobo3bo8bo3bobo3bo5bo2bobo2bobo2bobo2bo7bo3bo3bo3bo$2ob2ob
2ob2o9bobo3bobo6bo2bobo2bobo2bobo2bo$19b2ob2ob2ob2o6b2o3b2o3b2o3b2o8bo
3bo3bo3bo$2ob2ob2ob2o49bobobobobobobobo$o3bobo3bo8b2ob2ob2ob2o6b2o3b2o
3b2o3b2o8bo3bo3bo3bo$bobo3bobo9bo3bobo3bo5bo2bobo2bobo2bobo2bo$2ob2ob
2ob2o9bobo3bobo6bo2bobo2bobo2bobo2bo7bo3bo3bo3bo$19b2ob2ob2ob2o6b2o3b
2o3b2o3b2o7bobobobobobobobo$61bo3bo3bo3bo!

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squareroot12621
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Re: Construction Challenges and Ideas

Post by squareroot12621 » January 1st, 2024, 6:07 pm

confocaloid wrote:
January 1st, 2024, 5:24 pm
Constructibility of block arrays is an open problem. How about pseudo still lives / patches of agars made out of other objects (e.g. ponds, tubs, beehives)? Are these constructible?

Code: Select all

x = 75, y = 16, rule = B3/S23
2ob2ob2ob2o$o3bobo3bo8b2ob2ob2ob2o6b2o3b2o3b2o3b2o8bo3bo3bo3bo$bobo3bo
bo9bo3bobo3bo5bo2bobo2bobo2bobo2bo6bobobobobobobobo$2ob2ob2ob2o9bobo3b
obo6bo2bobo2bobo2bobo2bo7bo3bo3bo3bo$19b2ob2ob2ob2o6b2o3b2o3b2o3b2o$2o
b2ob2ob2o50bo3bo3bo3bo$bobo3bobo9b2ob2ob2ob2o6b2o3b2o3b2o3b2o7bobobobo
bobobobo$o3bobo3bo8bo3bobo3bo5bo2bobo2bobo2bobo2bo7bo3bo3bo3bo$2ob2ob
2ob2o9bobo3bobo6bo2bobo2bobo2bobo2bo$19b2ob2ob2ob2o6b2o3b2o3b2o3b2o8bo
3bo3bo3bo$2ob2ob2ob2o49bobobobobobobobo$o3bobo3bo8b2ob2ob2ob2o6b2o3b2o
3b2o3b2o8bo3bo3bo3bo$bobo3bobo9bo3bobo3bo5bo2bobo2bobo2bobo2bo$2ob2ob
2ob2o9bobo3bobo6bo2bobo2bobo2bobo2bo7bo3bo3bo3bo$19b2ob2ob2ob2o6b2o3b
2o3b2o3b2o7bobobobobobobobo$61bo3bo3bo3bo!
A pond line is possible:

Code: Select all

x = 49, y = 15, rule = B3/S23
bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$2b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o$2bo4bo4bo4bo4bo4bo4bo4bo4bo4bo10$b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o$obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo$2bo4bo4bo4bo4bo4bo4bo4bo4bo4bo!
However, 2 × 2 is already off the table (using this method, at least).

Code: Select all

4b8o$4b8o$4b8o$4b8o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4b8o$4b8o$4b8o$4b8o![[ THEME 0 AUTOSTART GPS 8 Z 16 T 1 T 1 Z 19.027 T 2 T 2 Z 22.627 T 3 T 3 Z 26.909 T 4 T 4 Z 32 T 5 T 5 Z 38.055 T 6 T 6 Z 45.255 T 7 T 7 Z 53.817 LOOP 8 ]]

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Goldtiger997
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Re: Construction Challenges and Ideas

Post by Goldtiger997 » January 2nd, 2024, 2:23 am

confocaloid wrote:
January 1st, 2024, 5:24 pm
Constructibility of block arrays is an open problem. How about pseudo still lives / patches of agars made out of other objects (e.g. ponds, tubs, beehives)? Are these constructible?
Unlike block arrays, the pond and tub arrays remain stable when you remove a single pond/tub. This makes construction much easier since you can build the array one pond/tub at a time.

Code: Select all

x = 331, y = 97, rule = B3/S23
16bo$14bobo15b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o38b2o3b2o3b2o$15b2o14bo
2bobo2bo41bo2bobo2bo38b2obo2bobo2bo38b2obo2bobo2bo36bo2bobo2bobo2bo$
31bo2bobo2bo41bo2bobo2bo38b2obo2bobo2bo38b2obo2bobo2bo36bo2bobo2bobo2b
o$18bobo11b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o38b2o3b2o3b2o$19b2o$19bo
12b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o38b2o3b2o3b2o$31bo2bobo2bo41bo2bob
o2bo38b2obo2bobo2bo24bobo11b2obo2bobo2bo36bo2bobo2bobo2bo$31bo2bobo2bo
41bo2bobo2bo38b2obo2bobo2bo25b2o11b2obo2bobo2bo36bo2bobo2bobo2bo$32b2o
3b2o43b2o3b2o43b2o3b2o26bo16b2o3b2o38b2o3b2o3b2o$104bo2bo2bo$32b2o3b2o
43b2o3b2o43b2o3b2o43b2o3b2o16bo2bo2bo15b2o3b2o3b2o$31bo2bobo2bo38b2obo
2bobo2bo38b2obo2bobo2bo38b2obo2bobo2bo36bo2bobo2bobo2bo$11bo19bo2bobo
2bo38b2obo2bobo2bo38b2obo2bobo2bo38b2obo2bobo2bo36bo2bobo2bobo2bo$11b
2o19b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o38b2o3b2o3b2o$10bobo$32b2o3b2o
43b2o3b2o43b2o3b2o28b2o13b2o3b2o38b2o3b2o3b2o$28b2obo2bobo2bo38b2obo2b
obo2bo38b2obo2bobo2bo28b2o8b2obo2bobo2bo36bo2bobo2bobo2bo$14b3o11b2obo
2bobo2bo38b2obo2bobo2bo38b2obo2bobo2bo27bo10b2obo2bobo2bo36bo2bobo2bob
o2bo$16bo15b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o38b2o3b2o3b2o$15bo2$164b
3o$166bo$165bo20$303bo$304bo$302b3o2$297bo$298b2o$297b2o3$295bo$296bo$
294b3o2$261bo$259bobo$260b2o2$101bobo$102b2o157bo4bobo$102bo159b2o2b2o
$261b2o4bo45b2o2b2o$106bo41bobo162bobo2bo$21bo3bo3bo41bo3bo3bo27bo13bo
3bo3bo19b2o20bo3bo3bo41bo3bo3bo41bo3bo3bo36b2o3bo3bo3bo$20bobobobobobo
39bobobobobobo24b3o12bobobobobobo18bo20bobobobobobo39bobobobobobo39bob
obobobobo39bobobobobobo$21bo3bo3bo28bo12bo3bo3bo41bo3bo3bo23bo17bo3bo
3bo41bo3bo3bo41bo3bo3bo41bo3bo3bo$59b2o93bo$21bo3bo3bo28b2o11bo3bo3bo
41bo3bo3bo22b3o16bo3bo3bo37bo3bo3bo3bo25b2o10bo3bo3bo3bo37bo3bo3bo3bo$
20bobobobobobo39bobobobobobo39bobobobobobo39bobobobobobo35bobobobobobo
bobo23bobo9bobobobobobobobo35bobobobobobobobo$21bo3bo3bo41bo3bo3bo35bo
5bo3bo3bo41bo3bo3bo37bo3bo3bo3bo26bo10bo3bo3bo3bo37bo3bo3bo3bo$60b2o
52bobo48b2o$21bo3bo3bo31b2o8bo3bo3bo34bobo4bo3bo3bo35bo5bo3bo3bo37bo3b
o3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo$20bobobobobobo29bo9bobobobobobo27b2o
5bo4bobobobobobo35bo3bobobobobobo35bobobobobobobobo35bobobobobobobobo
35bobobobobobobobo$21bo3bo3bo41bo3bo3bo28b2o11bo3bo3bo37bo3bo3bo3bo16b
o2bo2bo14bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo$168bo$21bo3bo3bo41bo3bo
3bo41bo3bo3bo35b3o3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo$20b
obobobobobo39bobobobobobo39bobobobobobo33bo5bobobobobobo35bobobobobobo
bobo35bobobobobobobobo35bobobobobobobobo$21bo3bo3bo41bo3bo3bo26bo14bo
3bo3bo34b2o5bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo$49bo56b2o
184b2o4b3o$4bo16bo3bo3bo19b2o20bo3bo3bo25bobo13bo3bo3bo37bo3bo3bo3bo
37bo3bo3bo3bo37bo3bo3bo3bo11bobo6bo16bo3bo3bo3bo$5bo14bobobobobobo17bo
bo19bobobobobobo39bobobobobobo35bobobobobobobobo35bobobobobobobobo35bo
bobobobobobobo12bo5bo16bobobobobobobobo$3b3o15bo3bo3bo41bo3bo3bo41bo3b
o3bo37bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo$152b3o$17bo3b
o3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo12bo11bo12bo3bo3bo3bo37bo3bo3bo3bo37b
o3bo3bo3bo37bo3bo3bo3bo$16bobobobobobobobo28bo6bobobobobobobobo28bo6bo
bobobobobobobo11b2o9bo12bobobobobobobobo35bobobobobobobobo35bobobobobo
bobobo35bobobobobobobobo$17bo3bo3bo3bo28bobo6bo3bo3bo3bo28bobo6bo3bo3b
o3bo11bobo2b3o18bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo37bo3bo3bo3bo$58b
obo47bobo37bo$59bo49bo37bo4$3o94b3o$2bo96bo$bo96bo!
Edit: beehive arrays can be done in the same way as pond arrays:

Code: Select all

x = 228, y = 23, rule = B3/S23
6bo$4bobo15bo3bo45bo3bo45bo3bo45bo3bo41bo3bo3bo$5b2o14bobobobo43bobobo
bo40b2obobobobo40b2obobobobo39bobobobobobo$21bobobobo43bobobobo40b2obo
bobobo40b2obobobobo39bobobobobobo$8bobo11bo3bo45bo3bo45bo3bo45bo3bo41b
o3bo3bo$9b2o$9bo12bo3bo45bo3bo45bo3bo45bo3bo41bo3bo3bo$21bobobobo43bob
obobo40b2obobobobo40b2obobobobo39bobobobobobo$21bobobobo43bobobobo40b
2obobobobo40b2obobobobo39bobobobobobo$22bo3bo45bo3bo45bo3bo45bo3bo41bo
3bo3bo$94bo2bo2bo$22bo3bo45bo3bo45bo3bo45bo3bo18bo2bo2bo16bo3bo3bo$21b
obobobo40b2obobobobo40b2obobobobo40b2obobobobo39bobobobobobo$bo19bobob
obo40b2obobobobo40b2obobobobo40b2obobobobo39bobobobobobo$b2o19bo3bo45b
o3bo45bo3bo45bo3bo41bo3bo3bo$obo$22bo3bo45bo3bo45bo3bo45bo3bo41bo3bo3b
o$18b2obobobobo40b2obobobobo40b2obobobobo31bo8b2obobobobo39bobobobobob
o$4b3o11b2obobobobo40b2obobobobo40b2obobobobo29bobo8b2obobobobo39bobob
obobobo$6bo15bo3bo45bo3bo45bo3bo31b2o2b2o8bo3bo41bo3bo3bo$5bo149b2o6b
2o$154bobo5bo$156bo!

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confocaloid
Posts: 3058
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Re: Construction Challenges and Ideas

Post by confocaloid » January 2nd, 2024, 8:20 am

Related to beehive arrays, this four-glider collision settling into a three-beehive stack looked very impressive to me when I saw it in a log (but I don't know who found it):

Code: Select all

x = 40, y = 27, rule = B3/S23
37b2o$36bo2bo$37b2o$o$b2o34b2o$2o34bo2bo$37b2o2$37b2o$36bo2bo$37b2o6$
11b3o$13bo$12bo13b2o$25b2o$27bo4$14b3o$16bo$15bo!
Edit: two copies can be combined into a 8G synthesis for the stack of six beehives, which is cheaper than the existing 11G synthesis:

Code: Select all

x = 36, y = 55, rule = B3/S23
20bo$19bo$19b3o4$8bo$9b2o$8b2o13bo$22bo$22b3o11$34b2o$33b2o$35bo8$o$b
2o$2o11$11b3o$13bo$12bo13b2o$25b2o$27bo4$14b3o$16bo$15bo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs36_69606960696069606960696 costs 11 gliders (pseudo).
#CLL state-numbering golly
x = 67, y = 18, rule = B3/S23
39bobo11bobo$2bo37b2o11b2o9bo$obo37bo13bo8bo$b2o3bo56b3o$5bo$5b3o
49bo$58b2o$57b2o$42b2o7b2o$43b2ob3ob2o$42bo9bo11b3o$64bo$65bo3$39b
o15bo$39b2o13b2o$38bobo13bobo!

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squareroot12621
Posts: 633
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Re: Construction Challenges and Ideas

Post by squareroot12621 » January 2nd, 2024, 11:32 am

Goldtiger997 wrote:
January 2nd, 2024, 2:23 am
Unlike block arrays, the pond and tub arrays remain stable when you remove a single pond/tub. This makes construction much easier since you can build the array one pond/tub at a time.

Code: Select all

[removed]
No, I don't think so:

Code: Select all

x = 26, y = 19, rule = B3/S23
18b2o3b2o$obo11b2obo2bobo2bo$b2o11b2obo2bobo2bo$bo16b2o3b2o2$18b2o3b2o
$14b2obo2bobo2bo$14b2obo2bobo2bo$18b2o3b2o2$3b2o13b2o3b2o$4b2o8b2obo2b
obo2bo$3bo10b2obo2bobo2bo$18b2o3b2o2$13b2o3b2o3b2o$3o9bo2bobo2bobo2bo
$2bo9bo2bobo2bobo2bo$bo11b2o3b2o3b2o!

Code: Select all

4b8o$4b8o$4b8o$4b8o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4b8o$4b8o$4b8o$4b8o![[ THEME 0 AUTOSTART GPS 8 Z 16 T 1 T 1 Z 19.027 T 2 T 2 Z 22.627 T 3 T 3 Z 26.909 T 4 T 4 Z 32 T 5 T 5 Z 38.055 T 6 T 6 Z 45.255 T 7 T 7 Z 53.817 LOOP 8 ]]

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confocaloid
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Re: Construction Challenges and Ideas

Post by confocaloid » January 2nd, 2024, 12:03 pm

squareroot12621 wrote:
January 2nd, 2024, 11:32 am
No, I don't think so:
I believe this can be used to solve pond arrays (add beehives one at a time, then convert all beehives into ponds simultaneously):

Code: Select all

x = 60, y = 25, rule = B3/S23
10bo4bo34bo4bo$9bobo2bobob2o29bobo2bobob2o$10b2o2bobob2o23b3o4b2o2bobo
b2o$obo12bo29bo9bo$b2o41bo$bo8bo4bo34bo4bo$9bobo2bobob2o29bobo2bobob2o
$10b2o2bobob2o23b3o4b2o2bobob2o$15bo29bo9bo$44bo$3b2o10bo34bo4bo$2bobo
9bobob2o29bobo2bobob2o$4bo9bobob2o23b3o4b2o2bobob2o$15bo29bo9bo$6bo37b
o$6b2o7bo34bo4bo$5bobo6bobob2o29bobo2bobob2o$14bobob2o23b3o4b2o2bobob
2o$15bo29bo9bo$44bo$15bo34bo4bo$14bobob2o29bobo2bobob2o$14bobob2o23b3o
4b2o2bobob2o$15bo29bo9bo$44bo!
Edit: based on the above forum posts, I submitted a few pond array syntheses which were processed in j5848480549 (xs80_6996069960699606996069960699606996069960699606996, xs32_699606996z699606996, xs72_69960699606996z69960699606996z69960699606996)
Edit 2: more syntheses in j5850045179 (xs64_2l202l202l202l2zhah0hah0hah0hahz8l808l808l808l8)

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johamwit
Posts: 59
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Re: Construction Challenges and Ideas

Post by johamwit » January 4th, 2024, 2:03 pm

Goldtiger997 wrote:
January 2nd, 2024, 2:23 am
confocaloid wrote:
January 1st, 2024, 5:24 pm
Constructivity ... pond and tub arrays
Tub array construction is far easier if tubs are spaced two cells. With the added benefit that you can construct any arbitrary void/tub pattern ( allowing it to be used as a memory device ) line by line, by LWSSs,

PS: By the same token, it also allows for a - albeit slow - display device. Erasing/refreshing is left as an exercise for scholars. :twisted:

Code: Select all

x = 345, y = 19, rule = LifeHistory
#C [[ GRID ZOOM 7 ]]
172.D4.D4.D$171.D.D2.D.D2.D.D$172.D4.D4.D3$172.D4.D4.D$171.D.D2.D.D2.
D.D$172.D4.D4.D10.2E27.2E27.2E$192.2E.2E24.2E.2E24.2E.2E$193.4E25.4E
25.4E$93.E38.E38.E22.2E27.2E27.2E$94.E38.E38.E$90.E3.E34.E3.E34.E3.E
110.2E27.2E27.2E$91.4E35.4E35.4E109.2E.2E24.2E.2E24.2E.2E$283.4E25.4E
25.4E$3.E38.E38.E202.2E27.2E27.2E$4.E38.E38.E$E3.E34.E3.E34.E3.E$.4E
35.4E35.4E!
Oh my God! -- it's full of search space!

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b-engine
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Re: Construction Challenges and Ideas

Post by b-engine » January 5th, 2024, 5:53 am

AlbertArmStain wrote:
January 19th, 2023, 9:21 am
Here’s an idea similar to the black hole idea:

•An engineered self-repair spaceship
It's very easy using xWSSes and a rake. The rake doesn't occur naturally so I count it as engineered.

Code: Select all

x = 299, y = 75, rule = B3/S23
3bo2bo$7bo$3bo3bo$4b4o3$b2o$obo$2bo3$6b2o$5bobo$7bo3$11b2o$10bobo$12b
o$214bo11b2o21bo11b2o22bo11b2o$180bo10bo10b2o9bobo9bobo9b2o9bobo9bo2b
o19bo2bo11bo$16b2o151b2o8bobo8bobo8bobo8bobo9bobo9bo2bo8bo2bo8bo2bo8b
3o8bo2bo8bo$15bobo151b2o9bo9b2o9b2o9b2o10b2o11b2o10b2o10b2o21bo10b2o$
17bo3$21b2o$20bobo$22bo3$26b2o$25bobo$27bo3$31b2o$30bobo$32bo3$36b2o$
35bobo$37bo3$41b2o$40bobo$42bo3$46b2o$45bobo$47bo$76b2o5bo2bo$75b4o8b
o$51b2o22b2ob2o3bo3bo$50bobo24b2o5b4o$52bo3$56b2o17b2o$55bobo16b2o7b3o
$57bo17bo2bo6bo$76bo6bobo$78b2o3b2o$61b2o$62bo$62bo20bo2bo$63b2o22bo$
83bo3bo$67b4o13b4o$66bo3bo$70bo$66bo2bo!
As you expected, the self-repairing ship can been extended.
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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HartmutHolzwart
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Re: Construction Challenges and Ideas

Post by HartmutHolzwart » January 7th, 2024, 5:56 am

Find fenceposts for all the wicks ind the jslife wicks collection, in particular those with period >50.

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otismo
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Re: Construction Challenges and Ideas

Post by otismo » January 8th, 2024, 3:33 pm

conduit-ize the gliders in this pattern :

Code: Select all

x = 155, y = 155, rule = B3/S23
69b2o6b2o$69b2o6b2o7$53b2o15bo6bo15b2o21b2o6b2o$52bobo14b3o4b3o14bobo
20b2o6b2o$52bobob2o10b2o2bo2bo2b2o10b2obobo$53bobobo14bo2bo14bobobo$
17b2o10b2o24bo11bo3bob2obo3bo11bo$16bo2bo8bo2bo21bo2bo14b6o14bo2bo$16b
3o10b3o24bo8bo4b2o4b2o4bo8bo$19b10o23bo3bo6b3o3b2o6b2o3b3o6bo3bo$18bo
2b6o2bo22bo3bo8bo4b2o4b2o4bo8bo3bo4b2o38b2o$18b2o2b4o2b2o26bo14b6o14bo
7bobo38bobo$53bo2bo10bo3bob2obo3bo10bo2bo4bobob2o3bobo20bobo3b2obobo$
55bo16bo2bo16bo7bobobo3bo2bo18bo2bo3bobobo$53bobobo10b2o2bo2bo2b2o10bo
bobo7bo5bo24bo5bo$52bobob2o11b3o4b3o11b2obobo5b2o5b2o22b2o5b2o$52bobo
15bo6bo15bobo4b3o6b2o7bob2obo7b2o6b3o$53b2o38b2o5b3o9bobo2b2ob2ob2o2bo
bo9b3o$22b3o75b3o10bo4bob2obo4bo10b3o$23bo13b2o61b3o36b3o$37bo63b2o36b
2o$35bobo41b2o21bo36bo$15b2ob2o2b3o2b2ob2o3b2o42bo20bobobo32bobobo$8b
2o4bo3bo4bo4bo3bo29bo17b3o16bobob2o32b2obobo$8b2o4bo17bo6b2o7bo3b2o6b
2o20bo16bobo11bo26bobo$14b2ob2o9b2ob2o6b2o5b3o3b2o5bob2o5b2obo4b2o22b
2o9b2obo25b2o$16b4o7b4o14bo13bo8b2o2b2o2b2o32bo$17b2obo5bob2o15b2o6bo
4b2o12bo40b2o$17b2obo5bob2o10b2o10bobo9bo5b2o38b3o$16b4o7b4o9bobo8bo2b
o10bo3bo48bo7b2o$14b2ob2o9b2ob2o7b4o6bo2bo11bobobo44bo11bo$8b2o4bo17bo
11bo21b3o5b2o37bo13b3o$8b2o4bo3bo4bo4bo3bo9bo2bo4bo2bo13bo6bobo12b2o
16b2o5bo2b2o10bo$15b2ob2o2b3o2b2ob2o11bobo6b2o22bo12b2obo13bobo5bo4bo
3b2o$44b2o30b2o15bo8bo3bo8b2o2b2o2b2o$44bo45bo9b3o2b2o11b2o$23bo46b2o
19bob2o4bo$22b3o44b3o21b2o4b2o$68bobo2bo2b2o$68b2o2b2o2b2o19bo23b2o$
38b2o32b2o22bobo22bobo$38bo58b2o2b2o20bo$39b3o13bobo43b2o20b2o$41bo14b
2o$18b2o2b4o2b2o26bo$18bo2b6o2bo86b4o$19b10o11b2o5b2o66bo7b2o7b2o10b2o
$16b3o10b3o9bo5b2o66bo3b2o2b2o6bo2bo8bo2bo$16bo2bo8bo2bo9bob2o71bo2b2o
10b3o2b6o2b3o$17b2o10b2o11bo91b2o6b2o$46b2o42bobo40bo10bo$44bo2bo2bobo
37b2o41b2obo4bob2o$45b2o4b2o38bo29bo18bo$9b2o10b2o19bo8bo69b3o16bo$8bo
2bo8bo2bo17bobo80bo13b4o$8b3o2b6o2b3o16bo3bo54bobo21b2o15bobo$11b2o6b
2o18bo3bo55b2o40b3o$10bo10bo16bo3bo57bo$10b2obo4bob2o15bo3bo70b2o14b2o
9bo$14bo23bobo71bobo12bo2bo8bo$14bo24bo72bo14bo3bo7bo$13b4o114bo$12bob
o94b2o12b3o13bo$11b3o95b2o14bo12b3o12b2o$77bobo29b2o11bo4b3o7b5o11b2o$
15bo62b2o30bo11b3o3bo$15bo13b2o47bo30bobo16bo$15bo13bo78b2obo$27bobo
86b2o$15bo11b2o88bo$2o12b3o92b2o3b3o5b2o$2o11b5o13b2o7bo3b2o63b2o3bo7b
2o13b5o11b2o$31b2o5b3o3b2o26bo65b3o12b2o$37bo6b2o25bob2ob3o47b2o11bo$
37b2o6bo19bo5bo2b2o2bo46bobo$44bobo18b2o5bob2ob2o46bo13bo$26bo16b2obo
17bobo9bo47b2o13bo$26bo3b3o41bo64bo$2o11b5o7b3o4bo39b2o18bo$2o12b3o12b
o14b2o45b2o48b3o$15bo13b3o12b2o45bobo46bobo$23bo50bo40b2o21b4o$15bo7bo
3bo46bo65bo$15bo8bo2bo86bo3bo21bo$15bo9b2o86bo4bo14b2obo4bob2o$112bobo
bo16bo10bo$11b3o97bobobo18b2o6b2o$12bobo15b2o55bo21bo4bo16b3o2b6o2b3o$
13b4o13bo55b2o21bo3bo17bo2bo8bo2bo$14bo16b3o52bobo43b2o10b2o$14bo18bo
74bo2b2o$10b2obo4bob2o85bobo$10bo10bo85b2o$11b2o6b2o32bo57b2o11b2o10b
2o$8b3o2b6o2b3o7b4o16bobo57bobo9bo2bo8bo2bo$8bo2bo8bo2bo6bo7b2o12b2o
52b2o5bo9b3o10b3o$9b2o10b2o7bo3b2o2b2o3bo62b2o5b2o11b10o$31bo2b2o7b2o
80bo2b6o2bo$42bobo80b2o2b4o2b2o$113bo$30b2o20b2o40b2o17b3o$31bo20b2o2b
2o21b2o12bobo20bo$31bobo22bobo19b3o14bo19b2o$32b2o23bo19bobo2bo2b2o$
60b3o14b2o2b2o2b2o$54b2o3bo21b2o47b3o$55bo3bo3bo67bo$35b2o11b2o2b3o4bo
2bobo45bo$30b2o2b2o2b2o8bo3bo8bobo2bo10b2o30b2o$30b2o3bo4bo5bobo13bo3b
o11bo22b2o6bobo11b2ob2o2b3o2b2ob2o$25bo10b2o2bo5b2o18bo11bobo6bo13b2o
6bo2bo9bo3bo4bo4bo3bo4b2o$25b3o13bo21b3o13b2o5b3o21bo11bo17bo4b2o$28bo
11bo44bobobo12bo8b4o7b2ob2o9b2ob2o$27b2o7bo48bo3bo11bobo8bobo9b4o7b4o$
42b3o38b2o5bo9bo2bo9b2o10b2obo5bob2o$40b2o40bo12b2o2bo2bo5b2o15b2obo5b
ob2o$44bo32b2o2b2o2b2o8bo13bo14b4o7b4o$13b2o25bob2o9b2o22b2o4bob2o5b2o
bo3bo2bo3b3o5b2o6b2ob2o9b2ob2o$12bobo26bo11bobo16bo20b2o6b2o3bo7b2o6bo
17bo4b2o$12bobob2o32b2obobo16b3o17bo29bo3bo4bo4bo3bo4b2o$13bobobo32bob
obo20bo42b2o3b2ob2o2b3o2b2ob2o$15bo36bo21b2o41bobo$14b2o36b2o63bo$13b
3o36b3o61b2o13bo$13b3o10bo4bob2obo4bo10b3o75b3o$13b3o9bobo2b2ob2ob2o2b
obo9b3o5b2o38b2o$13b3o6b2o7bob2obo7b2o6b3o4bobo15bo6bo15bobo$14b2o5b2o
22b2o5b2o5bobob2o11b3o4b3o11b2obobo$15bo5bo24bo5bo7bobobo10b2o2bo2bo2b
2o10bobobo$13bobobo3bo2bo18bo2bo3bobobo7bo16bo2bo16bo$12bobob2o3bobo
20bobo3b2obobo4bo2bo10bo3bob2obo3bo10bo2bo$12bobo38bobo7bo14b6o14bo26b
2o2b4o2b2o$13b2o38b2o4bo3bo8bo4b2o4b2o4bo8bo3bo22bo2b6o2bo$59bo3bo6b3o
3b2o6b2o3b3o6bo3bo23b10o$63bo8bo4b2o4b2o4bo8bo24b3o10b3o$60bo2bo14b6o
14bo2bo21bo2bo8bo2bo$62bo11bo3bob2obo3bo11bo24b2o10b2o$60bobobo14bo2bo
14bobobo$59bobob2o10b2o2bo2bo2b2o10b2obobo$29b2o6b2o20bobo14b3o4b3o14b
obo$29b2o6b2o21b2o15bo6bo15b2o7$76b2o6b2o$76b2o6b2o!
( all Still Lifes - no Oscillators... )
"One picture is worth 1000 words; but one thousand words, carefully crafted, can paint an infinite number of pictures."
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dvgrn
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Re: Construction Challenges and Ideas

Post by dvgrn » January 8th, 2024, 10:28 pm

otismo wrote:
January 8th, 2024, 3:33 pm
conduit-ize the gliders in this pattern... ( all Still Lifes - no Oscillators... )
Something like this? A period-88 signal loop around the outside can produce all the support gliders:

Code: Select all

x = 331, y = 331, rule = B3/S23
265b2o$264bobo$258b2o4bo$256bo2bo2b2ob4o$256b2obobobobo2bo$259bobobobo
$259bobob2o$260bo2$273b2o$264b2o7bo$264b2o5bobo$271b2o2$136b2o$117b2ob
ob2o12b2o127b2o$116bo2b2obo2bob2obo133b2o$51bo49bo13bobo4bob2obob2o
109bo25bo$51b3o47b3o12bob5o117b3o$23bo30bo22bo26bo13bo4bob2o116bo17b2o
46b2o$19b2obobo28b2o20b3o25b2o12bo3bobob2o115b2o18bo46b2o$19b2obobo49b
o41bo3bobo136b3o$22bob2o2b2o44b2o40b2o3bo137bo47b4o$22bo4bobo204b2o70b
o4bo$23b3obo16b2o48bo139bo71bob3o$25bob2o15bo47b3o136b2obo53b2o15b2obo
$42bobo24b2o20bo25bo14b2o97bo2b3o4b2o45b2o$42b2o24bobo7b2o11b2o20b6o
14b2o97b2o3bo3b6o58b3o$70bo7b2o32b2ob2o2bo12b2o100b4o5bo2bo58bo2bo$29b
3obo2bo22bo52b2o3bob2o8bo13b2o89bo9bobo3b2o55b2o$28bo2bobo2bo21b3o27b
2o24b4obo22bo2bo89b3o12bobo31b3o9b2o$27bo8bo20bobobob2o22bo2bo24b2o26b
2obo91bo13bo30b2ob2o3b3obo2bo$27bo2bo4bo20b2o3bob2o22bo2bo55bo86b5o14b
2o29b2o2bo3bobo2b2o$29b2o26b2obo2bo23b5o54b2o85bo51b2o4b2o$29b2o28b2ob
2obo24b2ob2o36b2o75b2o25bo26bo$29b2obo26b4o29bo39bo74bobo24b2o24b3o$
30b3o20b2o6b3o3bo35b2o24b3o69b2o4bo51bo$31bo21b2o12bo35b2o11b2o11bo69b
o2bo2b2ob4o47b2o$66bo49bo82b2obobobobo2bo71b2o$46bobo18b3o47b3o82bobob
obo75bo$47b2o20bo49bo82bobob2o51bo7b2o12b3o$25b2o20bo155bo54b2o8bo12bo
$25b2o228b4ob2o6bob2o31b2o$216b2o37b2o2b2o2bob4o2bo31bo$78b2o37bo89bo
8bo37b2obo2b2o7b2o33b3o$79bo35b3o88b3o5bobo38bo2bobo2bo2b3o37bo$38b2o
36b3o35bo90b5o4b2o35b2o2bo4b2o6bo$38bobo35bo37b2o88b2o3b2o21bo17bobo
12b3o$40bo111b3o48b3o3b3o19bobo16bo8bo4bo$40b2o110bo51b2o3b2o20bobo15b
2o5bo2bo5b5o$122b2o29bo51b5o19b3ob2o21bobo10bo$123bo82b3o19bo16b2o20bo
26bo17b2o$123bob2o42b2o34b3o21b3ob2o10b2o20b2o15bobo6b3o16bo$111b3o7b
3o2bo42bo34b2o25bob2o3b2o44b2o6b2o2bo6b2o5bobo$110bo2bo6bo3b2o45bo33bo
32bo3bo42bo6b2ob3o5b3o4b2o$110bob2o6b4o27b2o14b5o30b3o37b2o48b5o6b2ob
2o$9bo96b2o3bo11bo28bo13bo35bo34b3o2bobo49bo4b3o3bobo$9b3o93bobo12b3o
29bobo12b3o69bobobo2b2o2bo48b2o3bo2bo$12bo9bo82bo13bo33b2o15bo66b3obo
3b6o48b2o5bo$11b2o7b2o20b2o60b2o14b5o42b4o65bob2o9bobo49b3o$21b2o19bob
o79bo37b2o3bo3b2o57b2o4bo13b2o49b3o$44bo4b2o17bobo51bo39b2o4b3o2bo56b
2o3b3o12b2o$3b2o35b4ob2o2bo2bo16b2o51b2o46bob2o63bo$3bo36bo2bobobobob
2o16bo100bo64b3ob3o2b3o2b2o2b3o$2obo39bobobobo90bo28b2o63bo5b3ob2o2b2o
5bo$o2b3o4b2o32b2obobo88b3o96b2ob6obobo5b3o$b2o3bo3b2o36bo88bo45bo41b
2o6bo3bo2bo3bo11bobo33b2o$3b4o130b2o22b2o18b2o41b2o7bo4bo2b3o3b3obo6bo
32bobo$3bo15b2o13b2o90b2o33bo20b2o42bo6b2o6bobo4bo9b2o31bo$4b3o12bobo
13bo7b2o82bo20b3o11b3o71b2o3b2o5bo2bo38b2o$7bo13bo13bobo5b2o82bobo20bo
13bo73bobo8bobo$2b5o14b2o13b2o30bo59b2o19bo$2bo63b3o$4bo38b2o20bo175b
2o$3b2o39b2o19b2o174b2o19bobo43b2o$43bo105b2o111b2o44bobo$95bo53bo113b
o19b2o25bo$32bo60b2o33b2o17bobo134bo14bo10b2o$30b3o13b2o46b2o31bobo17b
2o10bo124bobo13bo$22bo6bo16bo80bo31b3o123b2o8b7o$23b2o4b2o16b3o76b2o
34bo131b5o2bo$22b2o25bo111b2o130b2ob2ob2o$63bo112b2o116bobo$62b3o25bob
o83bo118b2o$51b2o8bo3bo25b2o50b3ob3o23b2obo$51b2o8b2ob2o25bo50bo2bob4o
21bo2bo124bo$149bobo11b2o8b2o125bo$19b2o121bo20b2o$18bobo5b2o45b2o72b
3o15bo81b2o$18bo7b2o33bo2bo8b2o68b2o2b2o14b2o81b2o$17b2o42bo2bo70b2o
26b2o83bo$60bo4bo65b2o2b2o94bobo69b2o$31bo29bo2bo20bobo42bobo12b2o3bo
80b2o70bobo$27b2obobo28bo2bo21b2o42bo14bo3bobo80bo72bo$26bobobobo53bo
42b2o15bo3bobo152b2o$23bo2bobobobob2o111bo3bobob2o$23b4ob2o2bo2bo14bob
2o91bob4o2bob2o83bobo48bo$27bo4b2o14b3ob2o13b2o75bobo3bobo87b2o47b2o$
25bobo19bo19b2o4bo70bobo2bo2b2ob2o84bo48b2o$25b2o21b3ob2o6b2o9b2o72bo
3b2o2bobo$50bobo7b2o10b2o79bobo10b2o$50bobo101bo11b2o144b2o$51bo260bo$
293b2o15bobo$271bo21b2o15b2o$112bobo156b3o$113b2o159bo23bo$113bo159b2o
22b3o$297bo2bo$295b2o2b3o$269b2o24b3o2bo$268b2o24b2o2b2o$270bo23b3o$
43bo165bobo82bob4o$43b3o61bobo99b2o72b2o13b2o$46bo61b2o100bo65b2o5bobo
10bo16bo$45b2o61bo167b2o7bo6bo15b2o2bobo$285b2o4bob2o13bobo2bobo$218bo
bo70bo11bo7b2o2bo$37b2o179b2o52bo17b2o12bo7bobo$37bo13bo167bo51bobob2o
25b3o4bo2bob2o$34b2obo11b2o220bobobobo30bobobo$34bo2b3o4b2o4b2o216b2ob
obobobo2bo28bo2b4o$35b2o3bo3b2o222bo2bo2b2ob4o29b2o3bo$37b4o229b2o4bo
36bo$37bo15b2o221bobo31b2ob2o$38b3o12bobo194bo11bo14b2o31b2o$41bo13bo
78bobo113b3o7b3o50b2o$36b5o14b2o78b2o116bo5bo54bo$36bo98bo100bo15b2o5b
2o32b2o18bo$38bo197b3o55bo18b2o$37b2o200bo54bobo8b5o$238b2o55b2o12b2o$
304b2obo$303bobobo2bobo$187bobo49b2o6bo54b2obo4bobo$129bobo55b2o50b2o
4b2ob2o52b2obo2bob2o3b2o$130b2o56bo56b2o16b2o39b4o7b2o$130bo113bobo3bo
12bobo$265bo36b3o$196bobo50bo15b2o35b3o$61bo134b2o48b3o54bo$62b2o133bo
48b2o52bo$61b2o188b2o46bobo$232b2o65bobo$231bo2bo2b2o61bo$232b2o2bobo
11bo2bo43b3o$234b2o17bo32b3o8bo$234bo17bo35bo$156bobo72b2obo2bo4bo10b
3o31bo$157b2o72bob2obobob2o13bo$157bo77bobo3b2o32bo$232b2o2bo36b3o$82b
o147b3ob2o30bo5bo$82b3o144bo37bo4b2o$85bo144b3ob2o29b3o$84bobo145bob2o
$61b2o21bobo$60bobo22bo65bobo$54b2o4bo91b2o10b2o85b2o$52bo2bo2b2ob4o
87bo11b2o72b3o10bo$52b2obobo3bo2bo96b2o75b2o9bobo10b2o$55bobobobo98b3o
11bobo61b2obo7b2o10bobo5b2o$55bobob2o22bo16b2o59b2o11b2o62bo22bo7b2o$
56bo27b2o14b2o62b2o9bo59b2ob2o2b2o16b2o$83b2o79b2o68bo4bo3bo$69b2o158b
2o3bo39bo$60bo8bo159b2o3b2o4b3o27b2obobo$60b2o5bobo10b2o80bo74b5o27bob
obobo$67b2o10bobo79b2o103bo2bobobobob2o$54bo24bo81bobo78bo23b4ob2o2bo
2bo$53bo24b2o7b2o152bo28bo4b2o$53b3o30bo2bo152bob2o22bobo$86bobo157bo
21b2o$85b2o8b2obo145bobo$85bo9b2ob3o144bo$57b2o29b2o11bo144b3o8b2o$58b
o29b2o5b2ob3o43bo103bo7b2o$55b3o30b2o4bo2b2o45b2o112bo$55bo29b2obo4bob
o47bobo$75bo10b3o3bobob2obo$75b3o9bo5bo2bob2o89bo$78bo17bo56bo34b2o$
33bo43b2o16b2o56b2o33bobo$31b3o58bobo2b2o53bobo$30bo61b2o2bo2bo$29bobo
42b3o20b2o$29bobo42bo$30bo45bo2$64b2o10bo107bo$65bo7bo2bo106b2o$32bo
32bobo4bo3bo106bobo$14b2o15bo34b2o4bo3bo$14b2o15b3o38bo3bo3bo9b2o$74bo
4bo2bo7b2o$80b2o2$34b2o55b2o186b2o$34bobo54bo30bo155b2o12b2o$16b2o18bo
55b3o27b2o156bo11bo$17bo18b2o32b2o5b2o15bo26bobo170bo$16bo9b3o42bo5bo
196b2o14b5o$16b2o8b3o39b3o7b3o130bo63bo13bo$19b2o6b2o23b2o14bo11bo50bo
78b2o63bobo12b3o$16b2ob2o8bo22bobo76b2o77bobo63b2o15bo$17bo9bo2b2o22bo
4b2o69bobo157b4o$15bo3b2o5bo3bo19b4ob2o2bo2bo222b2o3bo3b2o$15b4o2bo5bo
2bo19bo2bobobobob2o222b2o4b3o2bo$18bobobo4b3o23bobobobo233bob2o$15b2ob
o2bo32b2obobo233bo$16bobo20b2o17bo233b2o$15bo2b2o19bo166bo$15bobo2bobo
14bobo4b2o159b2o$16bobo2b2o14b2o6bo7b2o150bobo76b2o$17bo27bobo5b2o229b
o$46b2o237b3o$287bo2$268b2o$269b2o$50b2o48bo167bo$51b2o47b2o$50bo5b2o
41bobo$56bo$57b3o173bo$19b2o15b2o21bo49bo122b2o$18bobo15b2o71b2o121bob
o$18bo89bobo168bo$17b2o52bo91b2o11bo101bobo$72b2o89b2o10bobo91b2o7bobo
$71b2o102bobo2b2o3bo83b2o6b2ob3o21b2o$174b2ob2o2bo2bobo75b2o19bo19bobo
$34b2o2bo139bobo3bobo75b2o13b2ob3o14b2o4bo$174b2obo2b4obo42bo48b2obo
14bo2bo2b2ob4o$34bo3bo135b2obobo3bo43b2o40b3o23b2obobo3bo2bo$24b2o8bo
143bobo3bo15b2o25bobo38bo3bo25bobob2o$25bo9bobo141bobo3bo14bo67b2ob2o
25bobob2o$25bobo152bo3b2o12bobo76b2o20bo$26b2o7b3o130bo25b2o2b2o77b2o$
168b3o2bo20b2o73b2o41b2o$169b2o75b2o8b2o11bobo3bo27bobo6bo$171b3o73b2o
7b2o11bo4bobo26b2o5bobo$78bo167bo26b2o35b2o$78b2o76b2o140bo$77bobo75bo
2bo119b2o16b2o$154bob2o120b2o17b2o$154bo39bo60bo$87bo65b2o38bo60b2o$
87b2o79b2o23bob2ob2o54bobo24bo$86bobo79bo25b6o3b2o76b3o16b2o$27b2o15b
2o47bo64b2o9b3o23bo7bo80bo16bo$27b2o15bobo47b2o63b2o10bo10b2o17bobo72b
2o5b2o13b3o$19b2o25bo46b2o63bo22bobo11b2o4b2o72b2o21bo$20bo25b2o133bo
11b2obo80bo$20bobo157b2o11bo2bo$21b2o65b2o104bobo53bo13b2o60b2o$88b2o
104b3o52b2o14bo60bo$249bobo10b3o63bo$201b2o59bo30b2o13b2o6bo7b5o$29bo
136bo34bobo82b2o5bobo13bo5b3o5bo$28b3o8b2o125b3o34bo82b2o7bo13bobo3b4o
5b3o$27bo11bo31b2o24b2o70bo33b2o90b2o13b2o7bo7bo$26b2ob2o6bobo32bo24b
2o69b2o22b2o30b2o90bo2b2o3b4o$27b2ob2o5b2o33bobo118bo31b2o55bo32bobob
3o2bo3b2o$27b2ob2o24bo16b2o115b3o31bo56bobob2o29bo2b2o4b3o2bo$27bo2bo
25b2o32b2o68b2o28bo90bobobobo25bo5bo7bob2o$27b3o25bobo31bo2bo67bo117b
2obobobobo2bo23b5o8bo$28b2o59bobo65b2obo46b2o69bo2bo2b2ob4o24b3o8b2o$
90bo8b2o56bo2b3o4bo2b2o36bo71b2o4bo29bo$82b2o15b2o57b2o3bo3bo2b3o33bo
79bobo$83b2o75b4o8b2o32b5o14b2o60b2o29b2o$82bo77bo10bo4b2o33bo13bo92bo
$115bo20b2o23b3o12bobo29b3o12bobo93b3o$116b2o10bo8b2o25bo13bo28bo15b2o
96bo$115b2o9b3o7bo22b5o14b2o27b4o$19b2o15b2o87bo33bo45b2o3bo3b2o$18bob
o15b2o58b2obo25b2o34bo42bo2b3o4b2o$18bo43b2o20b2o10b2ob3o58b2o42b2obo
64bo$17b2o44bo20b2o16bo104bo63b2o$61bo34b2ob3o105b2o62bobo$61b5o14b2o
15bobo189b2o6b2o$66bo13bo16bobo190bo7b2o$63b3o12bobo17bo116b2o37bo35bo
bo4bo$62bo15b2o35b2o99bo10b2o23b3o36b2o$24bo37b4o48bobo5b2o89b3o10b2o
23bo$24b3o7bo25b2o3bo3b2o43bo7b2o89bo14bo22b2o$27bo6bo24bo2b3o4b2o42b
2o$26b2o7bo23b2obo241b2o$33b2o14bo12bo64bo121bo54b2o$31b4o12b3o12b2o
59b2obobo82bo36bo2bo9bo$30bo2bo12bo32b2o41bobobobo59bo22b3o35bobo9b3o$
30bo2bo12b2o30b2o39bo2bobobobob2o57bo24bo10b3o22bo13bo18bobo$31b3o36b
2o8bo38b4ob2o2bo2bo55b3o11bo11b2o10b4o34b2o11b2o9bobo$71bo51bo4b2o69b
3o22b2o2b2o46b2o11bo$68b3o24b2o24bobo74bo26b2obo54bo3bobo$68bo26bo25b
2o75b2o25b3o55bob2o$97bo85b2o41bo$77b2o14b5o86bo$78bo13bo91bob2o34b3o
31bo$78bobo12b3o89bo2bo33b3o31b3o$22b2o55b2o15bo89b2o32b2o2bo30bo3bo$
22bo2bo27bo39b4o123b2o30b3o4bo$23b3o28b2o32b2o3bo3b2o103bo17b2o3b3o10b
2o12b3obob2o27b2o$41b2o10b2o33b2o4b3o2bo102bo20bob3o11bo12b2o3bo28bobo
$22bob2o15b2o53bob2o98b2obobo20bobo9b3o47bo15b2obo$20b3obo71bo101bo23b
o2bo10bo48b2o16bob3o$19bo4bo70b2o102bo23b3o75bobo4bo$20b4o47bo137bo3b
2o40b2o44b2o2b2obo$69b3o136bobo3bo41bo49bobob2o$20b2o46bo18b2o115b2obo
bo3bo12b2o25b3o20b2o28bobob2o$20b2o46b2o17bo116b2obo4bo13bo26bo22bo30b
o$74b2o12b3o117b5obo12b3o47b3o$75b2o13bo109b2obob2obo4bobo13bo49bo$74b
o125bob2obo2bob2o2bo$193b2o12b2obob2o$193b2o2$58b2o$57bobo5b2o$57bo7b
2o$56b2o2$70bo$66b2obobo$65bobobobo$62bo2bobobobob2o$62b4ob2o2bo2bo$
66bo4b2o$64bobo$64b2o!
Could be tightened up quite a bit, if anyone wants to work on a Pointless Optimization.

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otismo
Posts: 1218
Joined: August 18th, 2010, 1:41 pm
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Re: Construction Challenges and Ideas

Post by otismo » January 9th, 2024, 8:41 am

dvgrn wrote:
January 8th, 2024, 10:28 pm
otismo wrote:
January 8th, 2024, 3:33 pm
conduit-ize the gliders in this pattern... ( all Still Lifes - no Oscillators... )
Something like this? A period-88 signal loop around the outside can produce all the support gliders:

Code: Select all

x = 331, y = 331, rule = B3/S23
265b2o$264bobo$258b2o4bo$256bo2bo2b2ob4o$256b2obobobobo2bo$259bobobobo
$259bobob2o$260bo2$273b2o$264b2o7bo$264b2o5bobo$271b2o2$136b2o$117b2ob
ob2o12b2o127b2o$116bo2b2obo2bob2obo133b2o$51bo49bo13bobo4bob2obob2o
109bo25bo$51b3o47b3o12bob5o117b3o$23bo30bo22bo26bo13bo4bob2o116bo17b2o
46b2o$19b2obobo28b2o20b3o25b2o12bo3bobob2o115b2o18bo46b2o$19b2obobo49b
o41bo3bobo136b3o$22bob2o2b2o44b2o40b2o3bo137bo47b4o$22bo4bobo204b2o70b
o4bo$23b3obo16b2o48bo139bo71bob3o$25bob2o15bo47b3o136b2obo53b2o15b2obo
$42bobo24b2o20bo25bo14b2o97bo2b3o4b2o45b2o$42b2o24bobo7b2o11b2o20b6o
14b2o97b2o3bo3b6o58b3o$70bo7b2o32b2ob2o2bo12b2o100b4o5bo2bo58bo2bo$29b
3obo2bo22bo52b2o3bob2o8bo13b2o89bo9bobo3b2o55b2o$28bo2bobo2bo21b3o27b
2o24b4obo22bo2bo89b3o12bobo31b3o9b2o$27bo8bo20bobobob2o22bo2bo24b2o26b
2obo91bo13bo30b2ob2o3b3obo2bo$27bo2bo4bo20b2o3bob2o22bo2bo55bo86b5o14b
2o29b2o2bo3bobo2b2o$29b2o26b2obo2bo23b5o54b2o85bo51b2o4b2o$29b2o28b2ob
2obo24b2ob2o36b2o75b2o25bo26bo$29b2obo26b4o29bo39bo74bobo24b2o24b3o$
30b3o20b2o6b3o3bo35b2o24b3o69b2o4bo51bo$31bo21b2o12bo35b2o11b2o11bo69b
o2bo2b2ob4o47b2o$66bo49bo82b2obobobobo2bo71b2o$46bobo18b3o47b3o82bobob
obo75bo$47b2o20bo49bo82bobob2o51bo7b2o12b3o$25b2o20bo155bo54b2o8bo12bo
$25b2o228b4ob2o6bob2o31b2o$216b2o37b2o2b2o2bob4o2bo31bo$78b2o37bo89bo
8bo37b2obo2b2o7b2o33b3o$79bo35b3o88b3o5bobo38bo2bobo2bo2b3o37bo$38b2o
36b3o35bo90b5o4b2o35b2o2bo4b2o6bo$38bobo35bo37b2o88b2o3b2o21bo17bobo
12b3o$40bo111b3o48b3o3b3o19bobo16bo8bo4bo$40b2o110bo51b2o3b2o20bobo15b
2o5bo2bo5b5o$122b2o29bo51b5o19b3ob2o21bobo10bo$123bo82b3o19bo16b2o20bo
26bo17b2o$123bob2o42b2o34b3o21b3ob2o10b2o20b2o15bobo6b3o16bo$111b3o7b
3o2bo42bo34b2o25bob2o3b2o44b2o6b2o2bo6b2o5bobo$110bo2bo6bo3b2o45bo33bo
32bo3bo42bo6b2ob3o5b3o4b2o$110bob2o6b4o27b2o14b5o30b3o37b2o48b5o6b2ob
2o$9bo96b2o3bo11bo28bo13bo35bo34b3o2bobo49bo4b3o3bobo$9b3o93bobo12b3o
29bobo12b3o69bobobo2b2o2bo48b2o3bo2bo$12bo9bo82bo13bo33b2o15bo66b3obo
3b6o48b2o5bo$11b2o7b2o20b2o60b2o14b5o42b4o65bob2o9bobo49b3o$21b2o19bob
o79bo37b2o3bo3b2o57b2o4bo13b2o49b3o$44bo4b2o17bobo51bo39b2o4b3o2bo56b
2o3b3o12b2o$3b2o35b4ob2o2bo2bo16b2o51b2o46bob2o63bo$3bo36bo2bobobobob
2o16bo100bo64b3ob3o2b3o2b2o2b3o$2obo39bobobobo90bo28b2o63bo5b3ob2o2b2o
5bo$o2b3o4b2o32b2obobo88b3o96b2ob6obobo5b3o$b2o3bo3b2o36bo88bo45bo41b
2o6bo3bo2bo3bo11bobo33b2o$3b4o130b2o22b2o18b2o41b2o7bo4bo2b3o3b3obo6bo
32bobo$3bo15b2o13b2o90b2o33bo20b2o42bo6b2o6bobo4bo9b2o31bo$4b3o12bobo
13bo7b2o82bo20b3o11b3o71b2o3b2o5bo2bo38b2o$7bo13bo13bobo5b2o82bobo20bo
13bo73bobo8bobo$2b5o14b2o13b2o30bo59b2o19bo$2bo63b3o$4bo38b2o20bo175b
2o$3b2o39b2o19b2o174b2o19bobo43b2o$43bo105b2o111b2o44bobo$95bo53bo113b
o19b2o25bo$32bo60b2o33b2o17bobo134bo14bo10b2o$30b3o13b2o46b2o31bobo17b
2o10bo124bobo13bo$22bo6bo16bo80bo31b3o123b2o8b7o$23b2o4b2o16b3o76b2o
34bo131b5o2bo$22b2o25bo111b2o130b2ob2ob2o$63bo112b2o116bobo$62b3o25bob
o83bo118b2o$51b2o8bo3bo25b2o50b3ob3o23b2obo$51b2o8b2ob2o25bo50bo2bob4o
21bo2bo124bo$149bobo11b2o8b2o125bo$19b2o121bo20b2o$18bobo5b2o45b2o72b
3o15bo81b2o$18bo7b2o33bo2bo8b2o68b2o2b2o14b2o81b2o$17b2o42bo2bo70b2o
26b2o83bo$60bo4bo65b2o2b2o94bobo69b2o$31bo29bo2bo20bobo42bobo12b2o3bo
80b2o70bobo$27b2obobo28bo2bo21b2o42bo14bo3bobo80bo72bo$26bobobobo53bo
42b2o15bo3bobo152b2o$23bo2bobobobob2o111bo3bobob2o$23b4ob2o2bo2bo14bob
2o91bob4o2bob2o83bobo48bo$27bo4b2o14b3ob2o13b2o75bobo3bobo87b2o47b2o$
25bobo19bo19b2o4bo70bobo2bo2b2ob2o84bo48b2o$25b2o21b3ob2o6b2o9b2o72bo
3b2o2bobo$50bobo7b2o10b2o79bobo10b2o$50bobo101bo11b2o144b2o$51bo260bo$
293b2o15bobo$271bo21b2o15b2o$112bobo156b3o$113b2o159bo23bo$113bo159b2o
22b3o$297bo2bo$295b2o2b3o$269b2o24b3o2bo$268b2o24b2o2b2o$270bo23b3o$
43bo165bobo82bob4o$43b3o61bobo99b2o72b2o13b2o$46bo61b2o100bo65b2o5bobo
10bo16bo$45b2o61bo167b2o7bo6bo15b2o2bobo$285b2o4bob2o13bobo2bobo$218bo
bo70bo11bo7b2o2bo$37b2o179b2o52bo17b2o12bo7bobo$37bo13bo167bo51bobob2o
25b3o4bo2bob2o$34b2obo11b2o220bobobobo30bobobo$34bo2b3o4b2o4b2o216b2ob
obobobo2bo28bo2b4o$35b2o3bo3b2o222bo2bo2b2ob4o29b2o3bo$37b4o229b2o4bo
36bo$37bo15b2o221bobo31b2ob2o$38b3o12bobo194bo11bo14b2o31b2o$41bo13bo
78bobo113b3o7b3o50b2o$36b5o14b2o78b2o116bo5bo54bo$36bo98bo100bo15b2o5b
2o32b2o18bo$38bo197b3o55bo18b2o$37b2o200bo54bobo8b5o$238b2o55b2o12b2o$
304b2obo$303bobobo2bobo$187bobo49b2o6bo54b2obo4bobo$129bobo55b2o50b2o
4b2ob2o52b2obo2bob2o3b2o$130b2o56bo56b2o16b2o39b4o7b2o$130bo113bobo3bo
12bobo$265bo36b3o$196bobo50bo15b2o35b3o$61bo134b2o48b3o54bo$62b2o133bo
48b2o52bo$61b2o188b2o46bobo$232b2o65bobo$231bo2bo2b2o61bo$232b2o2bobo
11bo2bo43b3o$234b2o17bo32b3o8bo$234bo17bo35bo$156bobo72b2obo2bo4bo10b
3o31bo$157b2o72bob2obobob2o13bo$157bo77bobo3b2o32bo$232b2o2bo36b3o$82b
o147b3ob2o30bo5bo$82b3o144bo37bo4b2o$85bo144b3ob2o29b3o$84bobo145bob2o
$61b2o21bobo$60bobo22bo65bobo$54b2o4bo91b2o10b2o85b2o$52bo2bo2b2ob4o
87bo11b2o72b3o10bo$52b2obobo3bo2bo96b2o75b2o9bobo10b2o$55bobobobo98b3o
11bobo61b2obo7b2o10bobo5b2o$55bobob2o22bo16b2o59b2o11b2o62bo22bo7b2o$
56bo27b2o14b2o62b2o9bo59b2ob2o2b2o16b2o$83b2o79b2o68bo4bo3bo$69b2o158b
2o3bo39bo$60bo8bo159b2o3b2o4b3o27b2obobo$60b2o5bobo10b2o80bo74b5o27bob
obobo$67b2o10bobo79b2o103bo2bobobobob2o$54bo24bo81bobo78bo23b4ob2o2bo
2bo$53bo24b2o7b2o152bo28bo4b2o$53b3o30bo2bo152bob2o22bobo$86bobo157bo
21b2o$85b2o8b2obo145bobo$85bo9b2ob3o144bo$57b2o29b2o11bo144b3o8b2o$58b
o29b2o5b2ob3o43bo103bo7b2o$55b3o30b2o4bo2b2o45b2o112bo$55bo29b2obo4bob
o47bobo$75bo10b3o3bobob2obo$75b3o9bo5bo2bob2o89bo$78bo17bo56bo34b2o$
33bo43b2o16b2o56b2o33bobo$31b3o58bobo2b2o53bobo$30bo61b2o2bo2bo$29bobo
42b3o20b2o$29bobo42bo$30bo45bo2$64b2o10bo107bo$65bo7bo2bo106b2o$32bo
32bobo4bo3bo106bobo$14b2o15bo34b2o4bo3bo$14b2o15b3o38bo3bo3bo9b2o$74bo
4bo2bo7b2o$80b2o2$34b2o55b2o186b2o$34bobo54bo30bo155b2o12b2o$16b2o18bo
55b3o27b2o156bo11bo$17bo18b2o32b2o5b2o15bo26bobo170bo$16bo9b3o42bo5bo
196b2o14b5o$16b2o8b3o39b3o7b3o130bo63bo13bo$19b2o6b2o23b2o14bo11bo50bo
78b2o63bobo12b3o$16b2ob2o8bo22bobo76b2o77bobo63b2o15bo$17bo9bo2b2o22bo
4b2o69bobo157b4o$15bo3b2o5bo3bo19b4ob2o2bo2bo222b2o3bo3b2o$15b4o2bo5bo
2bo19bo2bobobobob2o222b2o4b3o2bo$18bobobo4b3o23bobobobo233bob2o$15b2ob
o2bo32b2obobo233bo$16bobo20b2o17bo233b2o$15bo2b2o19bo166bo$15bobo2bobo
14bobo4b2o159b2o$16bobo2b2o14b2o6bo7b2o150bobo76b2o$17bo27bobo5b2o229b
o$46b2o237b3o$287bo2$268b2o$269b2o$50b2o48bo167bo$51b2o47b2o$50bo5b2o
41bobo$56bo$57b3o173bo$19b2o15b2o21bo49bo122b2o$18bobo15b2o71b2o121bob
o$18bo89bobo168bo$17b2o52bo91b2o11bo101bobo$72b2o89b2o10bobo91b2o7bobo
$71b2o102bobo2b2o3bo83b2o6b2ob3o21b2o$174b2ob2o2bo2bobo75b2o19bo19bobo
$34b2o2bo139bobo3bobo75b2o13b2ob3o14b2o4bo$174b2obo2b4obo42bo48b2obo
14bo2bo2b2ob4o$34bo3bo135b2obobo3bo43b2o40b3o23b2obobo3bo2bo$24b2o8bo
143bobo3bo15b2o25bobo38bo3bo25bobob2o$25bo9bobo141bobo3bo14bo67b2ob2o
25bobob2o$25bobo152bo3b2o12bobo76b2o20bo$26b2o7b3o130bo25b2o2b2o77b2o$
168b3o2bo20b2o73b2o41b2o$169b2o75b2o8b2o11bobo3bo27bobo6bo$171b3o73b2o
7b2o11bo4bobo26b2o5bobo$78bo167bo26b2o35b2o$78b2o76b2o140bo$77bobo75bo
2bo119b2o16b2o$154bob2o120b2o17b2o$154bo39bo60bo$87bo65b2o38bo60b2o$
87b2o79b2o23bob2ob2o54bobo24bo$86bobo79bo25b6o3b2o76b3o16b2o$27b2o15b
2o47bo64b2o9b3o23bo7bo80bo16bo$27b2o15bobo47b2o63b2o10bo10b2o17bobo72b
2o5b2o13b3o$19b2o25bo46b2o63bo22bobo11b2o4b2o72b2o21bo$20bo25b2o133bo
11b2obo80bo$20bobo157b2o11bo2bo$21b2o65b2o104bobo53bo13b2o60b2o$88b2o
104b3o52b2o14bo60bo$249bobo10b3o63bo$201b2o59bo30b2o13b2o6bo7b5o$29bo
136bo34bobo82b2o5bobo13bo5b3o5bo$28b3o8b2o125b3o34bo82b2o7bo13bobo3b4o
5b3o$27bo11bo31b2o24b2o70bo33b2o90b2o13b2o7bo7bo$26b2ob2o6bobo32bo24b
2o69b2o22b2o30b2o90bo2b2o3b4o$27b2ob2o5b2o33bobo118bo31b2o55bo32bobob
3o2bo3b2o$27b2ob2o24bo16b2o115b3o31bo56bobob2o29bo2b2o4b3o2bo$27bo2bo
25b2o32b2o68b2o28bo90bobobobo25bo5bo7bob2o$27b3o25bobo31bo2bo67bo117b
2obobobobo2bo23b5o8bo$28b2o59bobo65b2obo46b2o69bo2bo2b2ob4o24b3o8b2o$
90bo8b2o56bo2b3o4bo2b2o36bo71b2o4bo29bo$82b2o15b2o57b2o3bo3bo2b3o33bo
79bobo$83b2o75b4o8b2o32b5o14b2o60b2o29b2o$82bo77bo10bo4b2o33bo13bo92bo
$115bo20b2o23b3o12bobo29b3o12bobo93b3o$116b2o10bo8b2o25bo13bo28bo15b2o
96bo$115b2o9b3o7bo22b5o14b2o27b4o$19b2o15b2o87bo33bo45b2o3bo3b2o$18bob
o15b2o58b2obo25b2o34bo42bo2b3o4b2o$18bo43b2o20b2o10b2ob3o58b2o42b2obo
64bo$17b2o44bo20b2o16bo104bo63b2o$61bo34b2ob3o105b2o62bobo$61b5o14b2o
15bobo189b2o6b2o$66bo13bo16bobo190bo7b2o$63b3o12bobo17bo116b2o37bo35bo
bo4bo$62bo15b2o35b2o99bo10b2o23b3o36b2o$24bo37b4o48bobo5b2o89b3o10b2o
23bo$24b3o7bo25b2o3bo3b2o43bo7b2o89bo14bo22b2o$27bo6bo24bo2b3o4b2o42b
2o$26b2o7bo23b2obo241b2o$33b2o14bo12bo64bo121bo54b2o$31b4o12b3o12b2o
59b2obobo82bo36bo2bo9bo$30bo2bo12bo32b2o41bobobobo59bo22b3o35bobo9b3o$
30bo2bo12b2o30b2o39bo2bobobobob2o57bo24bo10b3o22bo13bo18bobo$31b3o36b
2o8bo38b4ob2o2bo2bo55b3o11bo11b2o10b4o34b2o11b2o9bobo$71bo51bo4b2o69b
3o22b2o2b2o46b2o11bo$68b3o24b2o24bobo74bo26b2obo54bo3bobo$68bo26bo25b
2o75b2o25b3o55bob2o$97bo85b2o41bo$77b2o14b5o86bo$78bo13bo91bob2o34b3o
31bo$78bobo12b3o89bo2bo33b3o31b3o$22b2o55b2o15bo89b2o32b2o2bo30bo3bo$
22bo2bo27bo39b4o123b2o30b3o4bo$23b3o28b2o32b2o3bo3b2o103bo17b2o3b3o10b
2o12b3obob2o27b2o$41b2o10b2o33b2o4b3o2bo102bo20bob3o11bo12b2o3bo28bobo
$22bob2o15b2o53bob2o98b2obobo20bobo9b3o47bo15b2obo$20b3obo71bo101bo23b
o2bo10bo48b2o16bob3o$19bo4bo70b2o102bo23b3o75bobo4bo$20b4o47bo137bo3b
2o40b2o44b2o2b2obo$69b3o136bobo3bo41bo49bobob2o$20b2o46bo18b2o115b2obo
bo3bo12b2o25b3o20b2o28bobob2o$20b2o46b2o17bo116b2obo4bo13bo26bo22bo30b
o$74b2o12b3o117b5obo12b3o47b3o$75b2o13bo109b2obob2obo4bobo13bo49bo$74b
o125bob2obo2bob2o2bo$193b2o12b2obob2o$193b2o2$58b2o$57bobo5b2o$57bo7b
2o$56b2o2$70bo$66b2obobo$65bobobobo$62bo2bobobobob2o$62b4ob2o2bo2bo$
66bo4b2o$64bobo$64b2o!
Could be tightened up quite a bit, if anyone wants to work on a Pointless Optimization.
not pointless :

Oscillators : 155X155

Conduits : 331X331

Thanks !
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Sokwe
Moderator
Posts: 2688
Joined: July 9th, 2009, 2:44 pm

Re: Construction Challenges and Ideas

Post by Sokwe » January 10th, 2024, 5:43 am

Can anyone construct a p159+3n c/3 rake (or an adjustable rake with an even lower base period)? There is an engineless p159 rake in the moving objects collection (velocity-c3/rake-c3-p159.rle):

Code: Select all

#C Engineless p159 c/3 rake.
#C Jason Summers, 2 Feb 2010.
#C Most of the components were found by David Bell.
x = 473, y = 780, rule = B3/S23
254boob3o26boo$254boo4boo19b3obob3o$253bobbobo3bo14booboo3bo3boo5bo$
260b3obb3o5boobobb3obo3bo3bo3boob3o$262b3obobo4boo5boboboobbooboo8bo$
262bo4bo4bobbo3bo5b5obob3o3boo$263boo12bob3obboobboo3b4o$277boo3boo13b
o$263boo17boo4bo5bobo$262bobbo12bo10bo4bo$262bobbo11bobo$261boobo8b3o
3bo10bo$262boboboo4bobobo5b3o4b4o8b3o$259boobobo7bobobo4bo3boobo3boo8b
obooboo$259boobobobo6bobo5bobobbobobo3bo4boobo4boo$260bobobobbo12boo4b
obobbo6bobobo3bobbo$261bobbo3boo4bo7boobbobob7obobobo$249bo10b5obb3o4b
o8bo4bo5bo5bo3bo$224boob3o18bobo10b3oboboo10b3obboobboo4bo6boo$224boo
4boo15bo3bo13bo12b4o4b3o7boobbo4bo$223bobbobo3bo15b3o14bo11bo3b3o11boo
3bo3boo$230b3obb3o44b3o10b3o$232b3obobo7boo3boo19bo4bobo3boo10boo4b3o$
232bo4bo8boo3boo18b3o$233boo10boob3obbo17boboo$243boo3bobooboo17b3o$
233boo7bo3bo25boo$232bobbo6bo4bo3bo$232bobbo9b3obbo$231boobo7b3o4bo$
232boboboo3boo$229boobobo$229boobobobo$230bobobobbo$231bobbo3boo$230b
5obb3o$231b3oboboo$219bo15bo$215b3ob3o13bo5bo$214bo6boo16boo$215boo3bo
bbo3bo11boobo$225b4o10boo3bo$225bo3bo10boo3bo$223bobbobo13b3o$224bo$$
224boo$223bobbo$223boboo$222boobobo43b3o$221bobobo45bobbo$220boobobob
oo42bo$223bobo45bo$220boobobobboo42bobo$225boo3bo$221bo4boo$221bo4bobo
bo$223bobbo17$259b3o$261bo10bo$260bo10b3o$270boobo$270b3o$271boo5$256b
oobo$253boobooboo$253bobbobobbo$247boo4boo5bo38boo$247booboo48boo$246b
o3boo47bo$250boo$259bo$222bo34b3ob3o$221boo33boo6bo$221bobo27bo3bobbo
3boo$250b4o$249bo3bo$250bobobbo$254bo$237boo$237boo100boo$338bobo$271b
3o66bo$270bobbo$226bo22bo23bo$222b3ob3o18b3ob3o19bo$181b3o37bo6boo16b
oo6bo15bobo$181bo40boo3bobbo3bo6bo3bobbo3boo$182bo49b4o4b4o$105boboo
19b3o101bo3bobbo3bo$104boobooboo16b3o99bobbobo4bobobbo$103bobbobobbo
15bo3bo99bo12bo$104bo5boo4boo$113booboo8bo5bo246bo$113boo3bo7boo3boo
246boo$113boo13bo4boo243bobo$123booboboboo$113boo8boobobobo3bo305boo$
113boo8b3ob4o309booboo$112bobbo7b3o3boo11boo295boboboo$112bobobo4boo5b
o12boo295b3obboo$112bobo28bo290b3obobob3o$109booboboboo3bobboo307bo11b
oo$109boobobo319bobobbo$112bobobobo324bobbo$111bobbo3bo315boo5bo$109b
3oboobboo314bobbo3boo$118bo299b3o16bo$111bobboo156bo147bo16bo3bo$95boo
b3o15bo154b3o145bo17bo3bo4bo$95boo4boo168boboo163boo5b4o$94bobbobo3bo
168b3o169bo3booboo$101b3obb3o163boo170bo3bobboo$103b3obobo332bo7bobbo$
103bo4bo333bo$104boo338boboo$446boo$104boo339bobo$103bobbo336boo$103bo
bbo337b3o$102boobo338bobboo3bo$103boboboo337boo3b3o$100boobobo339bobo
bbo3bo$100boobobobo339bobobobo$101bobobobbo338bo$102bobbo3boo336boo$
101b5obb3o4bo331bo11b3o$102b3oboboo5boo330bo10boboboo$106bo9boo341bo$
106bo10boobo343boboo$117bobbo340b5obboboo$118bobo22bo9bo301b3o4bobo5b
oo$142bobo4b3ob3o297boobo7boo3bobbo$141bo3bobbo6boo285boo8bo3b5ob4obo$
142b3o4boo3bobbo3bo279boboo8bobobbobobobo$159b4o108b3o165bo5boo9bobboo
boo$117bo22boo3boo12bo3bo107bobbo164bo3bobo$117boo21boo3boo10bobbobo
108bo167bo5boboo6boo$117b3o19bobb3oboo10bo112bo167bobo6bo$119bo18boob
oobo3boo122bobo164bobo6bo5b3o$121bo24bo3bo7boo280bobbooboo8bo$116boo3b
o19bo3bo4bo6bobbo284bo9bo$116boo24bobb3o9boobo271boo$120bo22bo4b3o5bob
oboo270bobo$116bobbo30boo6bobobo270boo$117b3o35booboboboo$158bobo272b
oo$154boobboboboo268bobo$153bo3boo273boo$156boo4bo282bo16b3oboo$153bob
obo4bo277bobbooboo12boo4boo$150bo6bobbo278bobo6bo10bo3bobobbo$151boo
286bobo6bo5b3obb3o$153bo261bo23bo5boboo4bobob3o$150bobbo259b4o22bo3bob
o8bo4bo$136bo10b5o260boo3bo21bo5boo10boo$134b3ob3o9bo260bo5b3o21boboo$
133boo6bo3bo3bo264bobo4boo19boo$128bo3bobbo3boo3bo266bob4o4boo$127b4o
13bobo263b8ob4o$126bo3bo14bo264boo$127bobobbo139bo142bo5boo$131bo139b
3o140bobo3bobbo$138b3oboo126boobo143bobobbo$136boo4boo126b3o142b4o$
135bo3bobobbo126boo142b4o$130b3obb3o279bobbo$129bobob3o$88bo41bo4bo$
87boo44boo$31bo55bobo$29b4o$28boo3bo$27bo5b3o$30bobo4boo$27bob4o4boo
373boo$26b8ob4o63boob3o20b3oboo275booboo$26boo74boo4boo16boo4boo272b4o
bbobo$31bo5boo62bobbobo3bo14bo3bobobbo270bo4bo4bo$30bobo3bobbo68b3obb
3o4b3obb3o278boo7bo$33bobobbo71b3obobobbobob3o54bo234bo$31b4o75bo4bo4b
o4bo53b4o228b3o$31b4o12b3o61boo10boo53bo3boo226bo$25b3o5bobbo10bo128b
3o5bo226boboo$21boboo3bo19bo83bo40boo4bobo233bo$20b3o3bobo99b3ob3o38b
oo4b4obo226boo$19bo3bo4boo97bo6boo37b4ob8o219b3obbo3bo$20bo7b3o97boo3b
obbo3bo43boo219b3o5bo$26bobo109b4o31boo5bo90b3o130bo3bobbo27bo$25boo
111bo3bo29bobbo3bobo88bobbo134bobbo23b3oboo$24bo3bo107bobbobo31bobbobo
94bo137boo21bo5b3o$28bo108bo39b4o92bo136b3o22boo7boo$25boboo96boob3o
46b4o89bobo138boo26bo4boo$20bo4bo99boo4boo42bobbo5b3o251bo4b3o$19bobo
3b3o96bobbobo3bo49bo3boobo246boo3boo5b3o5bo$18bo3bo108b3obb3o34boo8bob
o3b3o232boo9boobboobb3obbo6b3ob3o$19boobo3bo106b3obobo32bobo7boo4bo3bo
226b3obo11b3oboo6boo5boo6bo$24boo107bo4bo35bo6b3o7bo226b5obo11booboobb
oo3b4obobbo3boo$134boo47bobo231b4o4bo$12boo10bobbo157boo229boo7bo25bo$
10boboo10bobo156bo3bo228bo4bo3bo3bo21bobo$9boo3bo168bo233bo3bobbo4bobo
bboo$9boo172boobo235b3o4bo6bo$bbob4obboo174bo4bo238bo4bo$boob4o7boo
167b3o3bobo238bo3bo$obboboobbo5booboo115boob3o20b3oboo22bo3bo239bo$bo
7bo3boo3boo115boo4boo16boo4boo18bo3boboo$6boobboboo3b3o114bobbobo3bo
14bo3bobobbo18boo262bo$9boobo128b3obb3o4b3obb3o288boo$16boo125b3obobo
bbobob3o25bobbo10boo247boobo$143bo4bo4bo4bo26bobo10boobo247bobbo$17bo
126boo10boo39bo3boo237boob3o6boo$17bo183boo237boo3boobb3oboobb3o$16bob
o181boobb4obo230b4o5bo4b3obobo$16bo178boo7b4oboo61bo170bobobboo4bo4bo$
192booboo5bobboobobbo59b3o168bobbo9boo$192boo3boo3bo7bo60boboo165boobb
o$192b3o3boobobboo66b3o164b4o$34boo163boboo69boo165bo3boo$34bobo157boo
243bob6o$26bo7b3o402boo6boo$25boboo5boo158bo244b4oboobbo$6boboo15bo3bo
4bo4boo153bo246boob3o3b3o4b3obo$5boobooboo13boobo8bobo152bobo250bo3boo
bobbobooboo$4bobbobobbo15bo9boo155bo250bo3bobbobb3obobbo$5bo5boo4boo
429bobo6bo4bo$14booboo9bo9boo361bo46bo3b3obbo$14boo3bo6boobo8bobo15b3o
338b3ob3o52boo$14boo9bo3bo4bo4boo14bo3boo335bo6boo43boo3bo3bo$25boboo
5boo18bobbo3bo335boo3bobbo3bo45boo$26bo7b3o14boboo6bo345b4o$34bobo13b
ooboob3o348bo3bo$34boo13bobboobo3b3o140boobo199bobbobo$61boo136booboob
oo199bo$50bo148bobbobobbo$50boo4b3o134boo4boo5bo199boo$50b3o3boo135boo
boo207bobbo$52boobboo95b3o36bo3boo207boboo41boobo$52b3o96boo3bo39boo
206boobobo37boobooboo$53bobbo93bo3bobbo17bo227bobobo39bobbobobbo$54bo
95bo6boobo14bo226booboboboo30boo4boo5bo$153b3obooboo12b3o94b3o131bobo
33booboo$150b3o3boboobbo108bobbo127boobobobboo28bo3boo$149boo21bo5bo
92bo135boo3bo31boo$161bo8bo9bo90bo131bo4boo$153b3o4boo7boo4bo4boo90bob
o128bo4bobobo$154boo3b3o6boo4b3o4boo222bobbo$154boobboo9bobb3ob3obbo$
60bo96b3o10bobo5bobo$59b4o92bobbo$58bo3booboo90bo12bobo5bobo$58bo3bobb
oo102bobb3ob3obbo268b3o$56bo7bobbo100boo4b3o4boo269bo$56bo112boo4bo4b
oo269bo$58boboo108bo9bo$60boo110bo5bo$59bobo$57boo115b3o$58b3o90bo23bo
$58bobboo3bo82b4o22bo$60boo3b3o77booboo3bo269bo5boo$33bo25bobobbo3bo
76boobbo3bo270bo$32boboboo23bobobobo76bobbo7bo267b3o$31bo4boo23bo93bo
267bobb3o$28boboo3bobbo22boo87boobo$27booboobo27bo88boo275boo$26bobb6o
26bo88bobo$22boo9bobbo116boo117bo$11boob3o4boobo3bo3bo3bo114b3o117b3o$
11boo4boobboob3oboobbobboo108bo3boobbo116boobo$10bobbobo3boboo5boo3bo
bbo107b3o3boo118b3o$17b3o5boo5bo110bo3bobbobo25bo92boo$19b3obo120bobob
obo23boobobo$19boo129bo23boo4bo$149boo22bobbo3boobo$150bo27bobooboo$
150bo26b6obbo$55boo118bobbo9boo$42b3o9bobbo117bo3bo3bo3boboo4b3oboo$
55bobo117boobbobboob3oboobboo4boo$56bo118bobbo3boo5boobo3bobobbo$21b3o
155bo5boo5b3o$24bo15bo147bob3o$24boo12bobbo149boo$19b3obboobboobo5bo3b
oo$13boo4bo5boobooboo6bo$13booboo4boobo3boobbo4b3o$12bo3boo6b4o$16boo
8boobobo17bobo$29bo18bo$31boo15bo$29bobboo14bobbo136b3o$26boob3o16b3o
136bo$24b3o5bobbo150boo$23bo3bob4obo145boboobboobb3o78b3o$14bo6bo4boo
151boobooboo5bo4boo71bobbo$10b3oboo4boo4bo151bobboo3boboo4booboo74bo$
9bo5boobboobbo3bo156b4o6boo3bo73bo$10boo5bobbobobbo154boboboo8boo74bob
o$15bo4b3obo157bo$14bob3obb3o46b3oboo103boo$17b3o3boo43boo4boo79boo21b
oobbo$14bobbo49bo3bobobbo77bobbo22b3oboo$16bo45b3obb3o84bobo19bobbo5b
3o$61bobob3o87bo21bob4obo3bo$62bo4bo116boo4bo6bo$65boo118bo4boo4boob3o
$184bo3bobboobboo5bo$65boo119bobbobobbo5boo$64bobbo119bob3o4bo$10bo11b
o41bobbo68boob3o30boo14b3obb3obo$8b4o6b3ob3o40boboo67boo4boo34bo8boo3b
3o$4booboo3bo4bo6boo36boobobo67bobbobo3bo26bobbo3bo15bobbo$4boobbo3bo
5boo3bobbo3bo34boboboo71b3obb3o21boobo20bo$3bobbo7bo13b4o31boboboboo
73b3obobo22bo$14bo13bo3bo29bobbobobo74bo4bo$9boobo13bobbobo28boo3bobbo
76boo$9boo16bo32b3obb5o$9bobo49boobob3o76boo$12boo50bo79bobbo$10b3o51b
o79bobbo41bo11bo70bo$4bo3boobbo130boobo40b3ob3o6b4o67b3o$3b3o3boo133bo
boboo36boo6bo4bo3booboo63boboo$bbo3bobbobo129boobobo34bo3bobbo3boo5bo
3bobboo64b3o$3bobobobo131boobobobo31b4o13bo7bobbo63boo$9bo132bobobobbo
29bo3bo13bo$8boo5b3o125bobbo3boo28bobobbo13boboo$9bo5bo126b5obb3o32bo
16boo$9bo6bo126b3oboboo49bobo$147bo50boo$147bo51b3o$199bobboo3bo214boo
$201boo3b3o212b3o$162bobo35bobobbo3bo211boobo$161bo40bobobobo213b3o$
161bo40bo220bo$161bobbo37boo$161b3o38bo$202bo9$271b3o$271bobbo$271bo$
271bo$272bobo10$174bo11bo$172b4o9b4o$171boo3bo7bo3boo$168bobo4bo9bo4bo
bo$167boo3bo7bo7bo3boo$168bo3boo5b3o5boo3bo$170boboo4bo3bo4boobo$149bo
18boobbo6b3o6bobboo$147b4o21bo5b5o5bo$143booboo3bo3bo12bo3bobooboo3boo
boobo3bo$143boobbo5b4o13boo3bo9bo3boo$142bobbo7bo3bo16bobboo3boobbo$
151bobbobo115bo$152bo118b3o$270boobo$270b3o$144bo126boo$142b4o$138boob
oo3bo3bo$138boobbo5b4o$137bobbo7bo3bo$146bobbobo$147bo7$182bo$180b3ob
3o$179boo6bo$174bo3bobbo3boo$162bo10b4o$160bobbo8bo3bo$159bo4bo8bobobb
o$159bo4bo12bo$160bo$160bo3bo11boo$160boobbo10bobbo92b3o$162b3o10boobo
91bobbo$174boboboo93bo$156boobbo5bo9bobobo92bo$155b3obo5bobo5boobobob
oo88bobo$157boboo4bobbo7bobo$158bo7boo4boobboboboo$157b3obboo7bo3boo$
155bobo4bobo9boo4bo$155bo7bo7bobobo4bo$175bobbo11$49boo$49b3o$48boboo$
48b3o$49bo$128boboo140bo$127boobooboo136b3o$126bobbobobbo136boboo$127b
o5boo4boo131b3o$136booboo131boo$136boo3bo$136boo$123b3ob3o$119boboo4bo
b4o$118b3o3boboo3boo3bo$117bo3bo3boboo5b4o$118bo9bo3bobo3bo$128bo3bobo
bobo$128bobo4b3o$136bo6$129bo$127b4o$123booboo3bo$123boobbo3bo$122bobb
o7bo$133bo$128boobo$128boo141b3o$128bobo7boo131bobbo$131boo4boo132bo$
129b3o6bobo18boo110bo$127boobbo3bo4boo17boo111bobo$128boo5bo5bo$128bob
o4bo5bo$141bo$129boo$$130bo292bobo$130bo291bo$129bobo290bo$129bo292bo
bbo$422b3o$120bo$118b4o$114booboo3bo3bo$114boobbo5b4o38boo$113bobbo7bo
3bo37booboo$122bobbobo37bobobb4o$123bo40bo4bo4bo$164bo7boo$164bo$166b
3o$169bo$165boobo103bo$164bo106b3o$167boo101boobo$165bo3bobb3o95b3o$
166bo5b3o96boo$168bobbo3bo$168bobbo$167boo$167b3o$167boo18$271b3o$270b
obbo$273bo$159boo112bo$159boo109bobo22$272bo$271b3o$271boboo$272b3o$
272boo3$172bo$173boo$172boo12$47bobo$50bo$50bo93boob3o20b3oboo$47bobbo
93boo4boo16boo4boo$48b3o92bobbobo3bo14bo3bobobbo$150b3obb3o4b3obb3o$
152b3obobobbobob3o103b3o$152bo4bo4bo4bo103bobbo$153boo10boo104bo$271bo
$61boo9boo198bobo$58booboo9booboo$58boo3bo7bo3boo$54b3obbo15bobb3o$54b
oobb3o5b3o5b3obboo$54b3o9b3o9b3o$55bo9bo3bo9bo$36boo18bobbo15bobbo$33b
ooboo17booboo4bo5bo4booboo$30b4obboo4boo15b7obob7o$29bo4bo4booboo14bob
obo9bobobo$30boo7boo3bo$39boo4$31boo$28booboo$25b4obboo4boo$24bo4bo4b
ooboo$25boo7boo3bo359boo9boo$34boo360booboo9booboo$272bo123boo3bo7bo3b
oo$271b3o118b3obbo15bobb3o$270boobo118boobb3o5b3o5b3obboo$270b3o119b3o
9b3o9b3o$271boo120bo9bo3bo9bo$394bobbo15bobbo18boo$393booboo4bo5bo4boo
boo17booboo$69boobo324b7obob7o15boo4boobb4o$66boobooboo322bobobo9bobob
o7b3o4booboo4bo4bo$66bobbobobbo346bo3bobbo3boo7boo$60boo4boo5bo347bo3b
o6boo$60booboo356bo3bo$59bo3boo357b3o$63boo$440boo$63boo375booboo$63b
oo369boo4boobb4o$62bobbo368booboo4bo4bo$61bobobo367bo3boo7boo$63bobo
371boo$60booboboboo$63boboboo$59bobobobo$59bo3bobbo$51boo6boobboob3o$
50boboo5bo$50bobo9boobbo$50boo9bo209b3o126boboo$48bo221bobbo125booboob
oo$47b3o223bo124bobbobobbo$48boo223bo125bo5boo4boo$44b5o221bobo135boob
oo$45b3o360boo3bo$46bo361boo$$408boo$408boo$407bobbo$407bobobo$407bobo
$404booboboboo$404boobobo$407bobobobo$14boob3o386bobbo3bo$14boo4boo
382b3oboobboo$13bobbobo3bo390bo$20b3obb3o378bobboo$22b3obobo184bo197bo
$22bo4bo183bobo$11bo3bo7boo187boo$9b3oboobobo$5booboo6bobbo$5boobbobbo
3bobboobboo$4bobbo4bobbobbooboboo247bo$15boo4bo3bo245b3o$14boobbobbobo
bo245boboo150bo$16bo255b3o137bobo10bo$22b3o247boo139bo12bo$$420bo3boo$
422b3o6bo$422boo7boo$430boboo$16boo412bobo20b3oboo$13booboo412boo19boo
4boo$10b4obbobo431bo3bobobbo$9bo4bo4bo425b3obb3o$10boo7bo424bobob3o$
19bo425bo4bo$15b3o430boo7bo3bo$14bo439boboboob3o$15boboo434bobbo6boob
oo$19bo428boobboobbo3bobbobboo$15boo431booboboobbobbo4bobbo$14bo3bo
428bo3bo4boo$17bo429bobobobbobboo$15bo440bo$17bo430b3o$28bo$16boo6bobb
oo$23bobbo5bo13boo223b3o$16b3o4bo5boobbo12boo223bobbo$16bo6bobboo5bo
237bo$17bo6bo5bobbo237bo183boo$28boobbo239bobo180booboo$7boo19bo425bob
obb4o$4booboo444bo4bo4bo$b4obboo4boo438bo7boo$o4bo4booboo438bo$boo7boo
3bo439b3o$10boo446bo$454boobo$453bo$456boo$454bo3bo$455bo$457bo$455bo
$$455boo$$454b3o$456bo$455bo$439boo$438bobbo22boo$57boo213bo164bo3boo
21booboo$56bobo212b3o162boo3bo16boo4boobb4o$58bo211boobo163boboobobbo
12booboo4bo4bo$270b3o152boo13bobobbo11bo3boo7boo$271boo152boo12bo4boo
15boo$435booboo8bo$435b3o8boobobboo$435bobo9bobobboo$64bo371bo8bobbo$
62b3ob3o367bo8boo$61boo6bo$56bo3bobbo3boo$55b4o$54bo3bo38bo$55bobobbo
36boo$59bo36bobo$$58boo$57bobbo$57boobo$56boboboo$58bobobo$55boobobob
oo344bo$58bobo346boo$54boobboboboo343bobo$53bo3boo$56boo4bo$46boo5bobo
bo4bo73b3o132b3o$46boo9bobbo77bo131bobbo134bo$137bo135bo130b3ob3o$273b
o129bo6boo$32boboo22boobo208bobo131boo3bobbo3bo$31boobooboo16boobooboo
351b4o$30bobbobobbo16bobbobobbo350bo3bo$31bo5boo4boo4boo4boo5bo188bobo
158bobbobo$40booboo4booboo198boo159bo$40boo3bobbo3boo198bo114b3o$40boo
10boo313bo45boo$368bo43bobbo$412boboo$176boo233boobobo$177boo231bobobo
$176bo232booboboboo$412bobo$409boobobobboo$414boo3bo$410bo4boo$410bo4b
obobo$412bobbo$328boo$327boo$329bo81boboo22boobo$410boobooboo16booboob
oo$216boo54bo136bobbobobbo16bobbobobbo$215bobo53b3o136bo5boo4boo4boo4b
oo5bo$217bo53boboo144booboo4booboo$272b3o144boo3bobbo3boo$272boo145boo
10boo5$288boo$288bobo$288bo$$256bo$256boo$255bobo!
If all but one of the LWSSs are removed, the rake does not function, because the three gliders created from a single LWSS are not synchronized:

Code: Select all

x = 473, y = 769, rule = B3/S23
254b2ob3o26b2o$254b2o4b2o19b3obob3o$253bo2bobo3bo14b2ob2o3bo3b2o5bo$
260b3o2b3o5b2obo2b3obo3bo3bo3b2ob3o$262b3obobo4b2o5bobob2o2b2ob2o8bo$
262bo4bo4bo2bo3bo5b5obob3o3b2o$263b2o12bob3o2b2o2b2o3b4o$277b2o3b2o13b
o$263b2o17b2o4bo5bobo$262bo2bo12bo10bo4bo$262bo2bo11bobo$261b2obo8b3o
3bo10bo$262bobob2o4bobobo5b3o4b4o8b3o$259b2obobo7bobobo4bo3b2obo3b2o8b
ob2ob2o$259b2obobobo6bobo5bobo2bobobo3bo4b2obo4b2o$260bobobo2bo12b2o4b
obo2bo6bobobo3bo2bo$261bo2bo3b2o4bo7b2o2bobob7obobobo$249bo10b5o2b3o4b
o8bo4bo5bo5bo3bo$224b2ob3o18bobo10b3obob2o10b3o2b2o2b2o4bo6b2o$224b2o
4b2o15bo3bo13bo12b4o4b3o7b2o2bo4bo$223bo2bobo3bo15b3o14bo11bo3b3o11b2o
3bo3b2o$230b3o2b3o44b3o10b3o$232b3obobo7b2o3b2o19bo4bobo3b2o10b2o4b3o$
232bo4bo8b2o3b2o18b3o$233b2o10b2ob3o2bo17bob2o$243b2o3bob2ob2o17b3o$
233b2o7bo3bo25b2o$232bo2bo6bo4bo3bo$232bo2bo9b3o2bo$231b2obo7b3o4bo$
232bobob2o3b2o$229b2obobo$229b2obobobo$230bobobo2bo$231bo2bo3b2o$230b
5o2b3o$231b3obob2o$219bo15bo$215b3ob3o13bo$214bo6b2o$215b2o3bo2bo3bo$
225b4o$225bo3bo$223bo2bobo$224bo2$224b2o$223bo2bo$223bob2o$222b2obobo$
221bobobo$220b2obobob2o$223bobo$220b2obobo2b2o$225b2o3bo$221bo4b2o$
221bo4bobobo$223bo2bo27$256b2obo$253b2ob2ob2o$253bo2bobo2bo$247b2o4b2o
5bo$247b2ob2o$246bo3b2o$250b2o$259bo$257b3ob3o$256b2o6bo$251bo3bo2bo3b
2o$250b4o$249bo3bo$250bobo2bo$254bo6$226bo22bo$222b3ob3o18b3ob3o$221bo
6b2o16b2o6bo$222b2o3bo2bo3bo6bo3bo2bo3b2o$232b4o4b4o$105bob2o19b3o101b
o3bo2bo3bo$104b2ob2ob2o16b3o99bo2bobo4bobo2bo$103bo2bobo2bo15bo3bo99bo
12bo$104bo5b2o4b2o$113b2ob2o8bo5bo$113b2o3bo7b2o3b2o$113b2o13bo4b2o$
123b2obobob2o$113b2o8b2obobobo3bo305b2o$113b2o8b3ob4o309b2ob2o$112bo2b
o7b3o3b2o308bobob2o$112bobobo4b2o5bo309b3o2b2o$112bobo319b3obobob3o$
109b2obobob2o3bo2b2o307bo11b2o$109b2obobo319bobo2bo$112bobobobo324bo2b
o$111bo2bo3bo315b2o5bo$109b3ob2o2b2o314bo2bo3b2o$118bo318bo$111bo2b2o
321bo3bo$95b2ob3o15bo320bo3bo4bo$95b2o4b2o335b2o5b4o$94bo2bobo3bo340bo
3b2ob2o$101b3o2b3o335bo3bo2b2o$103b3obobo332bo7bo2bo$103bo4bo333bo$
104b2o338bob2o$446b2o$104b2o339bobo$103bo2bo336b2o$103bo2bo337b3o$102b
2obo338bo2b2o3bo$103bobob2o337b2o3b3o$100b2obobo339bobo2bo3bo$100b2obo
bobo339bobobobo$101bobobo2bo338bo$102bo2bo3b2o336b2o$101b5o2b3o336bo
11b3o$102b3obob2o337bo10bobob2o$106bo352bo$106bo357bob2o$461b5o2bob2o$
143bo9bo301b3o4bobo5b2o$142bobo4b3ob3o297b2obo7b2o3bo2bo$141bo3bo2bo6b
2o295bo3b5ob4obo$142b3o4b2o3bo2bo3bo291bobo2bobobobo$159b4o293bo2b2ob
2o$140b2o3b2o12bo3bo$140b2o3b2o10bo2bobo292b2o$139bo2b3ob2o10bo$138b2o
b2obo3b2o304b3o$146bo3bo7b2o296bo$141bo3bo4bo6bo2bo294bo$142bo2b3o9b2o
bo$143bo4b3o5bobob2o$150b2o6bobobo$155b2obobob2o$158bobo$154b2o2bobob
2o$153bo3b2o$156b2o4bo299b3ob2o$153bobobo4bo297b2o4b2o$157bo2bo298bo3b
obo2bo$454b3o2b3o$415bo37bobob3o$413b4o37bo4bo$136bo275b2o3bo39b2o$
134b3ob3o270bo5b3o$133b2o6bo272bobo4b2o$128bo3bo2bo3b2o270bob4o4b2o$
127b4o279b8ob4o$126bo3bo279b2o$127bobo2bo282bo5b2o$131bo282bobo3bo2bo$
138b3ob2o273bobo2bo$136b2o4b2o271b4o$135bo3bobo2bo270b4o$130b3o2b3o
279bo2bo$129bobob3o$130bo4bo$133b2o$31bo$29b4o$28b2o3bo$27bo5b3o$30bob
o4b2o$27bob4o4b2o373b2o$26b8ob4o63b2ob3o20b3ob2o275b2ob2o$26b2o74b2o4b
2o16b2o4b2o272b4o2bobo$31bo5b2o62bo2bobo3bo14bo3bobo2bo270bo4bo4bo$30b
obo3bo2bo68b3o2b3o4b3o2b3o278b2o7bo$33bobo2bo71b3obobo2bobob3o54bo234b
o$31b4o75bo4bo4bo4bo53b4o228b3o$31b4o76b2o10b2o53bo3b2o226bo$25b3o5bo
2bo139b3o5bo226bob2o$21bob2o3bo103bo40b2o4bobo233bo$20b3o3bobo99b3ob3o
38b2o4b4obo226b2o$19bo3bo4b2o97bo6b2o37b4ob8o219b3o2bo3bo$20bo7b3o97b
2o3bo2bo3bo43b2o219b3o5bo$26bobo109b4o31b2o5bo223bo3bo2bo27bo$25b2o
111bo3bo29bo2bo3bobo226bo2bo23b3ob2o$24bo3bo107bo2bobo31bo2bobo232b2o
21bo5b3o$28bo108bo39b4o229b3o22b2o7b2o$25bob2o96b2ob3o46b4o230b2o26bo
4b2o$20bo4bo99b2o4b2o42bo2bo5b3o251bo4b3o$19bobo3b3o96bo2bobo3bo49bo3b
2obo246b2o3b2o5b3o5bo$18bo3bo108b3o2b3o44bobo3b3o243b2o2b2o2b3o2bo6b3o
b3o$19b2obo3bo106b3obobo42b2o4bo3bo242b3ob2o6b2o5b2o6bo$24b2o107bo4bo
42b3o7bo244b2ob2o2b2o3b4obo2bo3b2o$134b2o47bobo$12b2o10bo2bo157b2o264b
o$10bob2o10bobo156bo3bo263bobo$9b2o3bo168bo$9b2o172b2obo$2bob4o2b2o
174bo4bo$b2ob4o7b2o167b3o3bobo$o2bob2o2bo5b2ob2o115b2ob3o20b3ob2o22bo
3bo$bo7bo3b2o3b2o115b2o4b2o16b2o4b2o18bo3bob2o$6b2o2bob2o3b3o114bo2bob
o3bo14bo3bobo2bo18b2o262bo$9b2obo128b3o2b3o4b3o2b3o288b2o$16b2o125b3ob
obo2bobob3o25bo2bo10b2o247b2obo$143bo4bo4bo4bo26bobo10b2obo247bo2bo$
17bo126b2o10b2o39bo3b2o237b2ob3o6b2o$17bo183b2o237b2o3b2o2b3ob2o2b3o$
16bobo181b2o2b4obo230b4o5bo4b3obobo$16bo178b2o7b4ob2o232bobo2b2o4bo4bo
$192b2ob2o5bo2b2obo2bo230bo2bo9b2o$192b2o3b2o3bo7bo229b2o2bo$192b3o3b
2obo2b2o233b4o$199bob2o236bo3b2o$194b2o243bob6o$439b2o6b2o$194bo244b4o
b2o2bo$6bob2o184bo246b2ob3o3b3o4b3obo$5b2ob2ob2o180bobo250bo3b2obo2bob
2ob2o$4bo2bobo2bo182bo250bo3bo2bo2b3obo2bo$5bo5b2o4b2o429bobo6bo4bo$
14b2ob2o382bo46bo3b3o2bo$14b2o3bo36b3o338b3ob3o52b2o$14b2o39bo3b2o335b
o6b2o43b2o3bo3bo$54bo2bo3bo335b2o3bo2bo3bo45b2o$51bob2o6bo345b4o$50b2o
b2ob3o348bo3bo$49bo2b2obo3b3o140b2obo199bo2bobo$61b2o136b2ob2ob2o199bo
$50bo148bo2bobo2bo$50b2o4b3o134b2o4b2o5bo199b2o$50b3o3b2o135b2ob2o207b
o2bo$52b2o2b2o95b3o36bo3b2o207bob2o41b2obo$52b3o96b2o3bo39b2o206b2obob
o37b2ob2ob2o$53bo2bo93bo3bo2bo245bobobo39bo2bobo2bo$54bo95bo6b2obo241b
2obobob2o30b2o4b2o5bo$153b3ob2ob2o243bobo33b2ob2o$150b3o3bob2o2bo239b
2obobo2b2o28bo3b2o$149b2o256b2o3bo31b2o$161bo241bo4b2o$153b3o4b2o241bo
4bobobo$154b2o3b3o243bo2bo$154b2o2b2o$60bo96b3o$59b4o92bo2bo$58bo3b2ob
2o90bo$58bo3bo2b2o$56bo7bo2bo$56bo$58bob2o$60b2o$59bobo$57b2o$58b3o90b
o$58bo2b2o3bo82b4o$60b2o3b3o77b2ob2o3bo$33bo25bobo2bo3bo76b2o2bo3bo$
32bobob2o23bobobobo76bo2bo7bo$31bo4b2o23bo93bo$28bob2o3bo2bo22b2o87b2o
bo$27b2ob2obo27bo88b2o$26bo2b6o26bo88bobo$22b2o9bo2bo116b2o$11b2ob3o4b
2obo3bo3bo3bo114b3o$11b2o4b2o2b2ob3ob2o2bo2b2o108bo3b2o2bo$10bo2bobo3b
ob2o5b2o3bo2bo107b3o3b2o$17b3o5b2o5bo110bo3bo2bobo25bo$19b3obo120bobob
obo23b2obobo$19b2o129bo23b2o4bo$149b2o22bo2bo3b2obo$150bo27bob2ob2o$
150bo26b6o2bo$175bo2bo9b2o$175bo3bo3bo3bob2o4b3ob2o$175b2o2bo2b2ob3ob
2o2b2o4b2o$175bo2bo3b2o5b2obo3bobo2bo$21b3o155bo5b2o5b3o$24bo163bob3o$
24b2o165b2o$19b3o2b2o2b2obo$13b2o4bo5b2ob2ob2o$13b2ob2o4b2obo3b2o2bo$
12bo3b2o6b4o$16b2o8b2obobo$29bo$31b2o$29bo2b2o154b3o$26b2ob3o155bo$24b
3o5bo2bo150b2o$23bo3bob4obo145bob2o2b2o2b3o$14bo6bo4b2o151b2ob2ob2o5bo
4b2o$10b3ob2o4b2o4bo151bo2b2o3bob2o4b2ob2o$9bo5b2o2b2o2bo3bo156b4o6b2o
3bo$10b2o5bo2bobo2bo154bobob2o8b2o$15bo4b3obo157bo$14bob3o2b3o46b3ob2o
103b2o$17b3o3b2o43b2o4b2o102b2o2bo$14bo2bo49bo3bobo2bo103b3ob2o$16bo
45b3o2b3o106bo2bo5b3o$61bobob3o109bob4obo3bo$62bo4bo116b2o4bo6bo$65b2o
118bo4b2o4b2ob3o$184bo3bo2b2o2b2o5bo$65b2o119bo2bobo2bo5b2o$64bo2bo
119bob3o4bo$10bo11bo41bo2bo68b2ob3o46b3o2b3obo$8b4o6b3ob3o40bob2o67b2o
4b2o43b2o3b3o$4b2ob2o3bo4bo6b2o36b2obobo67bo2bobo3bo49bo2bo$4b2o2bo3bo
5b2o3bo2bo3bo34bobob2o71b3o2b3o45bo$3bo2bo7bo13b4o31bobobob2o73b3obobo
$14bo13bo3bo29bo2bobobo74bo4bo$9b2obo13bo2bobo28b2o3bo2bo76b2o$9b2o16b
o32b3o2b5o$9bobo49b2obob3o76b2o$12b2o50bo79bo2bo$10b3o51bo79bo2bo41bo
11bo$4bo3b2o2bo130b2obo40b3ob3o6b4o$3b3o3b2o133bobob2o36b2o6bo4bo3b2ob
2o$2bo3bo2bobo129b2obobo34bo3bo2bo3b2o5bo3bo2b2o$3bobobobo131b2obobobo
31b4o13bo7bo2bo$9bo132bobobo2bo29bo3bo13bo$8b2o133bo2bo3b2o28bobo2bo
13bob2o$9bo132b5o2b3o32bo16b2o$9bo133b3obob2o49bobo$147bo50b2o$147bo
51b3o$199bo2b2o3bo$201b2o3b3o$200bobo2bo3bo$202bobobobo$202bo$202b2o$
202bo$202bo23$174bo11bo$172b4o9b4o$171b2o3bo7bo3b2o$168bobo4bo9bo4bobo
$167b2o3bo7bo7bo3b2o$168bo3b2o5b3o5b2o3bo$170bob2o4bo3bo4b2obo$149bo
18b2o2bo6b3o6bo2b2o$147b4o21bo5b5o5bo$143b2ob2o3bo3bo12bo3bob2ob2o3b2o
b2obo3bo$143b2o2bo5b4o13b2o3bo9bo3b2o$142bo2bo7bo3bo16bo2b2o3b2o2bo$
151bo2bobo$152bo3$144bo$142b4o$138b2ob2o3bo3bo$138b2o2bo5b4o$137bo2bo
7bo3bo$146bo2bobo$147bo7$182bo$180b3ob3o$179b2o6bo$174bo3bo2bo3b2o$
173b4o$172bo3bo$173bobo2bo$177bo2$176b2o$175bo2bo$175b2obo$174bobob2o$
176bobobo$173b2obobob2o$176bobo$172b2o2bobob2o$171bo3b2o$174b2o4bo$
171bobobo4bo$175bo2bo16$128bob2o$127b2ob2ob2o$126bo2bobo2bo$127bo5b2o
4b2o$136b2ob2o$136b2o3bo$136b2o$123b3ob3o$119bob2o4bob4o$118b3o3bob2o
3b2o3bo$117bo3bo3bob2o5b4o$118bo9bo3bobo3bo$128bo3bobobobo$128bobo4b3o
$136bo6$129bo$127b4o$123b2ob2o3bo$123b2o2bo3bo$122bo2bo7bo$133bo$128b
2obo$128b2o$128bobo$131b2o$129b3o$127b2o2bo$128b2o$128bobo2$129b2o2$
130bo$130bo$129bobo$129bo2$120bo$118b4o$114b2ob2o3bo3bo$114b2o2bo5b4o
38b2o$113bo2bo7bo3bo37b2ob2o$122bo2bobo37bobo2b4o$123bo40bo4bo4bo$164b
o7b2o$164bo$166b3o$169bo$165b2obo$164bo$167b2o$165bo3bo2b3o$166bo5b3o$
168bo2bo3bo$168bo2bo$167b2o$167b3o$167b2o67$144b2ob3o20b3ob2o$144b2o4b
2o16b2o4b2o$143bo2bobo3bo14bo3bobo2bo$150b3o2b3o4b3o2b3o$152b3obobo2bo
bob3o$152bo4bo4bo4bo$153b2o10b2o2$61b2o9b2o$58b2ob2o9b2ob2o$58b2o3bo7b
o3b2o$54b3o2bo15bo2b3o$54b2o2b3o5b3o5b3o2b2o$54b3o9b3o9b3o$55bo9bo3bo
9bo$36b2o18bo2bo15bo2bo$33b2ob2o17b2ob2o4bo5bo4b2ob2o$30b4o2b2o4b2o15b
7obob7o$29bo4bo4b2ob2o14bobobo9bobobo$30b2o7b2o3bo$39b2o4$31b2o$28b2ob
2o$25b4o2b2o4b2o$24bo4bo4b2ob2o$25b2o7b2o3bo359b2o9b2o$34b2o360b2ob2o
9b2ob2o$396b2o3bo7bo3b2o$392b3o2bo15bo2b3o$392b2o2b3o5b3o5b3o2b2o$392b
3o9b3o9b3o$393bo9bo3bo9bo$394bo2bo15bo2bo18b2o$393b2ob2o4bo5bo4b2ob2o
17b2ob2o$69b2obo324b7obob7o15b2o4b2o2b4o$66b2ob2ob2o322bobobo9bobobo
14b2ob2o4bo4bo$66bo2bobo2bo353bo3b2o7b2o$60b2o4b2o5bo358b2o$60b2ob2o$
59bo3b2o$63b2o$440b2o$63b2o375b2ob2o$63b2o369b2o4b2o2b4o$62bo2bo368b2o
b2o4bo4bo$61bobobo367bo3b2o7b2o$63bobo371b2o$60b2obobob2o$63bobob2o$
59bobobobo$59bo3bo2bo$59b2o2b2ob3o$59bo$62b2o2bo$61bo338bob2o$399b2ob
2ob2o$398bo2bobo2bo$399bo5b2o4b2o$408b2ob2o$408b2o3bo$408b2o2$408b2o$
408b2o$407bo2bo$407bobobo$407bobo$404b2obobob2o$404b2obobo$407bobobobo
$14b2ob3o386bo2bo3bo$14b2o4b2o382b3ob2o2b2o$13bo2bobo3bo390bo$20b3o2b
3o378bo2b2o$22b3obobo382bo$22bo4bo$11bo3bo7b2o$9b3ob2obobo$5b2ob2o6bo
2bo$5b2o2bo2bo3bo2b2o2b2o$4bo2bo4bo2bo2b2obob2o$15b2o4bo3bo$14b2o2bo2b
obobo$16bo$22b3o6$16b2o435b3ob2o$13b2ob2o433b2o4b2o$10b4o2bobo431bo3bo
bo2bo$9bo4bo4bo425b3o2b3o$10b2o7bo424bobob3o$19bo425bo4bo$15b3o430b2o
7bo3bo$14bo439bobob2ob3o$15bob2o434bo2bo6b2ob2o$19bo428b2o2b2o2bo3bo2b
o2b2o$15b2o431b2obob2o2bo2bo4bo2bo$14bo3bo428bo3bo4b2o$17bo429bobobo2b
o2b2o$15bo440bo$17bo430b3o2$16b2o2$16b3o$16bo$17bo437b2o$455b2ob2o$7b
2o445bobo2b4o$4b2ob2o444bo4bo4bo$b4o2b2o4b2o438bo7b2o$o4bo4b2ob2o438bo
$b2o7b2o3bo439b3o$10b2o446bo$454b2obo$453bo$456b2o$454bo3bo$455bo$457b
o$455bo2$455b2o2$454b3o$456bo$455bo2$464b2o$464b2ob2o$458b2o4b2o2b4o$
458b2ob2o4bo4bo$457bo3b2o7b2o$461b2o4$64bo$62b3ob3o$61b2o6bo$56bo3bo2b
o3b2o$55b4o$54bo3bo$55bobo2bo$59bo2$58b2o$57bo2bo$57b2obo$56bobob2o$
58bobobo$55b2obobob2o$58bobo$54b2o2bobob2o$53bo3b2o$56b2o4bo$53bobobo
4bo$57bo2bo347bo$404b3ob3o$403bo6b2o$32bob2o22b2obo342b2o3bo2bo3bo$31b
2ob2ob2o16b2ob2ob2o351b4o$30bo2bobo2bo16bo2bobo2bo350bo3bo$31bo5b2o4b
2o4b2o4b2o5bo349bo2bobo$40b2ob2o4b2ob2o359bo$40b2o3bo2bo3b2o$40b2o10b
2o359b2o$412bo2bo$412bob2o$411b2obobo$410bobobo$409b2obobob2o$412bobo$
409b2obobo2b2o$414b2o3bo$410bo4b2o$410bo4bobobo$412bo2bo3$411bob2o22b
2obo$410b2ob2ob2o16b2ob2ob2o$409bo2bobo2bo16bo2bobo2bo$410bo5b2o4b2o4b
2o4b2o5bo$419b2ob2o4b2ob2o$419b2o3bo2bo3b2o$419b2o10b2o!
I think an adjustable-period rake would probably need synchronization of these gliders and some way to extend the period. Presumably the backward LWSS stage could be extended to increase the period. Unfortunately, such a construction is beyond my ability.

My goal is to have a more explicit construction for the Game of Life Status page. The page currently links to the following pattern that "demonstrates that all periods 144 and higher can, in principle, be constructed. (Actually, this can probably be reduced to around 90-100)":

Code: Select all

#C This demonstrates some reactions which could be used
#C to build a c/3 spaceship or rake of any period 144 or higher.
#C Completing such a spaceship would require lots of glider
#C duplicators, turners, and repositioners. A sufficient variety
#C of these objects is known.
x = 1090, y = 258, rule = B3/S23
335bo$336boo$335boo9$348bo$349bo$347b3o$$479bo$477boo$478boo19$419bo$
420boo$419boo9$432bo$433bo$431b3o$$491bo$489boo$490boo19$503bo$504boo$
503boo4$58b3o$58bo$59bo3$516bo$517bo$515b3o$523bo$521bobo$522boo$686bo
bo$340bo345boo$338boo347bo$186bo152boo$187bo$185b3o7$804bobo$804boo
107bobo$805bo108boo$914bo$494boo$494bobo566bobo$494bo568boo$587bo476bo
$588boo$587boo4$46b3o$46bo$47bo3$600bo$601bo$599b3o$607bo$605bobo$606b
oo$698bobo$352bo345boo$350boo347bo$270bo80boo$271bo$269b3o7$816bobo$
816boo179bobo$817bo180boo$998bo$482boo$482bobo590bobo$482bo592boo$671b
o404bo$672boo$671boo4$34b3o$34bo$35bo3$684bo$685bo$683b3o$691bo$689bob
o$690boo$710bobo$364bo345boo$362boo347bo$354bo8boo$355bo$353b3o$$406b
oo46boo46boo46boo46boo46boo46boo$405bobo45bobo45bobo45bobo45bobo45bobo
45bobo$405bo47bo47bo47bo47bo47bo47bo$404boo46boo46boo46boo46boo46boo
46boo$$828bobo$b3o7bo8boo22boo22boo22boo22boo22boo22boo22boo22boo22boo
22boo22boo22boo22boo22boo22boo22boo22boo22boo22boo22boo22boo22boo22boo
22boo22boo22boo22boo22boo22boo110boo251bobo$boobbobooboo6bo4bo18bo4bo
18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo
18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo
18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo109bo252boo$3b
3o4bo6bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo
23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo368bo$bobbobo
3bo6bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo
5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo
5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo5bo17bo
5bo$o4bo4bo6b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o
18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o18b6o
18b6o18b6o18b6o18b6o368bobo$o4bo4bo21bobbo20bobbo20bobbo20bobbo20bobbo
20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo
20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo
20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo
20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo20bobbo19boo$b
obbobo3bo20bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo
23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo
23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo24bo$3b3o4bo20bo3bo19b
o3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19b
o3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19b
o3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19b
o3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19bo3bo19b
o3bo19bo3bo19bo3bo$boobbobooboo19b4o20b4o20b4o20b4o20b4o20b4o20b4o20b
4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b
4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b
4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o20b4o$b3o7bo1071boo$1083bobo$
1083bo24$840bobo$840boo$841bo8$1071boo$1071bobo$1071bo34$1059boo$1059b
obo$1059bo!
but I don't personally find this very satisfying.
-Matthias Merzenich

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Construction Challenges and Ideas

Post by b-engine » January 10th, 2024, 6:20 am

johamwit wrote:
January 4th, 2024, 2:03 pm
PS: By the same token, it also allows for a - albeit slow - display device. Erasing/refreshing is left as an exercise for scholars. :twisted:

Code: Select all

...


Erasing a tub is quite easy - just use 1 LWSS:

Code: Select all

x = 74, y = 13, rule = LifeHistory
.C4.C4.C$C.C2.C.C2.C.C$.C4.C4.C2$51.4E5.4E5.4E$.C4.C4.C39.E3.E4.E3.E4.
E3.E$C.C2.C.C2.C.C38.E8.E8.E$.C4.C4.C40.E2.E5.E2.E5.E2.E2$19.4E5.4E5.
4E$19.E3.E4.E3.E4.E3.E$19.E8.E8.E$20.E2.E5.E2.E5.E2.E!

Hence we can get this:

Code: Select all

x = 263, y = 8, rule = LifeHistory
172.D4.D4.D$171.D.D2.D.D2.D.D$172.D4.D4.D2$424.4E5.4E5.4E$172.D4.D4.D
241.E3.E4.E3.E4.E3.E$171.D.D2.D.D2.D.D240.E8.E8.E$172.D4.D4.D10.2E27.
2E27.2E172.E2.E5.E2.E5.E2.E$192.2E.2E24.2E.2E24.2E.2E$193.4E25.4E25.4E
137.4E5.4E5.4E$93.E38.E38.E22.2E27.2E27.2E138.E3.E4.E3.E4.E3.E$94.E38.
E38.E219.E8.E8.E$90.E3.E34.E3.E34.E3.E110.2E27.2E27.2E50.E2.E5.E2.E5.
E2.E$91.4E35.4E35.4E109.2E.2E24.2E.2E24.2E.2E$283.4E25.4E25.4E$3.E38.
E38.E202.2E27.2E27.2E$4.E38.E38.E$E3.E34.E3.E34.E3.E$.4E35.4E35.4E!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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