Thread for basic questions

[Schiaparelliorbust]

What's the smallest pattern that is considered OT-endemic in every OT rule just by looking at its 0th and 1th generation?
What about INT?

You would have to make a pattern where there is at least one of every cell with a certain number of cells in their neighbourhood, but I don't know what the minimum possible size of such a pattern would be like, and unless it's in the rule B/S012345678 it would probably decay and never become itself again. Other than that, I don't know.

Can unit Life cells simulate Viewer scripts?

I assume you're asking whether you can run a you can run a script as a program in CGoL unit cells. You definitely can, because CGoL and many other CA that it can emulate, including itself, are Turing-Complete.

I've found ColorfulGalaxy's LifeWiki articles a few days ago, and there was something really weird in it.
this
and this
Does wicks have apgcodes?
How did he make the fake stub message?
How did he get those pixel characters?
Also, the "MWSS spark" apgcode seems incorrect.

Also, many of your tagalongs in the wiki happen to fail.

Both of the links you provide lead to the same page. Please give the apgcode (or whatever in the page seems to be strange). All oscillators have apgcode, so any stabilized wick would also have one. The page also says you should conatact the author if you spot any problems or have suggestions.

[Donald K Trump]

What's the smallest pattern that is considered OT-endemic in every OT rule just by looking at its 0th and 1th generation?
What about INT?

You would have to make a pattern where there is at least one of every cell with a certain number of cells in their neighbourhood, but I don't know what the minimum possible size of such a pattern would be like, and unless it's in the rule B/S012345678 it would probably decay and never become itself again. Other than that, I don't know.

Can unit Life cells simulate Viewer scripts?

I assume you're asking whether you can run a you can run a script as a program in CGoL unit cells. You definitely can, because CGoL and many other CA that it can emulate, including itself, are Turing-Complete.

I've found ColorfulGalaxy's LifeWiki articles a few days ago, and there was something really weird in it.
this
and this
Does wicks have apgcodes?
How did he make the fake stub message?
How did he get those pixel characters?
Also, the "MWSS spark" apgcode seems incorrect.

Also, many of your tagalongs in the wiki happen to fail.

Both of the links you provide lead to the same page. Please give the apgcode (or whatever in the page seems to be strange). All oscillators have apgcode, so any stabilized wick would also have one. The page also says you should conatact the author if you spot any problems or have suggestions.

"xp0_14" links to "MWSS spark" (non-existent page)
But xp0_14 should be

Code: Select all

x = 3, y = 3, rule = B3/S23
o2$bo!

[dvgrn]

Does it even have to be lightspeed? Is there anything prohibiting it from being 2c/3 or something like that? Also, you were talking about with the grain, right?

Macbi mentioned a straightforward proof prohibiting with-the-grain changes to zebra stripes from propagating at any speed less than lightspeed. You quoted Macbi in the question that I was answering, but then I said something about chicken wire agar instead, which was probably unnecessarily confusing.

Chicken wire agar is more complex than zebra stripes, but still very constrained in terms of what kinds of patterns could possibly move through it. Single cells turning OFF just turn back on after a tick, healing the agar. But single or double cells turning on in width-2 chicken wire start an uncontrollable implosion -- traveling at lightspeed against the grain and 2c/3 with the grain. That's the opposite of what happens with zebra stripes, but equally limiting.

Not being an expert on this stuff, I don't know of any proofs that show that 2c/3 with-the-grain negative spaceships in chicken wire are impossible. I suspect that if you set up the question in a search program, it will tell you UNSATISFIABLE right away, and that amounts to a proof. But I don't know that for sure.

[dvgrn]

Can unit Life cells simulate Viewer scripts?

I assume you're asking whether you can run a you can run a script as a program in CGoL unit cells. You definitely can, because CGoL and many other CA that it can emulate, including itself, are Turing-Complete.

And yet... LifeViewer scripts do all kinds of things with colors, labels, and so on. So you'd have to be a lot more specific about what "simulate Viewer scripts" means, or what "color" means in a metacell, before the question would really make any sense at all.

[Schiaparelliorbust]

Are there any known crystals other than the basic beehive one?

[wildmyron]

How hard would it be to find a diagonally moving negative spaceship in the zebra stripes agar or one moving in a different agar?
Edit: To clarify, by the one in a different agar, I mean one that moves along the same symmetry of the agar itself, like orthogonal in a chicken wire agar or diagonal in the p14 herringbone agar:

Code: Select all

<snip rle>

This seems to be quite a tricky problem to solve. I've spent quite some time searching various agars at various speeds without much success. Pretty much the only thing I've found other than the known negative spaceships / bubbles / agar crawlers / signals in zebra stripes is a p4 lightspeed signal which I posted previously on the Agar crawler thread:

Code: Select all

x = 32, y = 80, rule = B3/S23:T32,80
5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b
5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o
10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b
2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o
10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$
5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b
10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b22o
$5o22b5o$5b10o3b9o$5o12bo9b5o$5b8o6b8o$5o22b5o$5b6o10b6o$5o22b5o$5b4o
14b4o$5o22b5o$5b3o16b3o$5o3bo14bo3b5o$5b4o14b4o$5o4bo12bo4b5o$5b3obo
12bob3o$5o4b2o10b2o4b5o$5bo5b10o5bo$5obobo3b3o2b3o3bobob5o$7bo5bo4bo5b
o$7ob2ob2o2bo3b2ob2ob7o$9bobo8bobo$8obob2o6b2obob8o$9bobob6obobo$7o2bo
2b2o4b2o2bo2b7o$7bobobobo4bobobobo$8obobo8bobob8o$7bobobo8bobobo$5o2bo
3bo8bo3bo2b5o$5bobo2b12o2bobo$5o2bo3b3o4b3o3bo2b5o$5b5o3bo4bo3b5o$5o6b
obo4bobo6b5o$5b7obo4bob7o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o$5b10o2b
10o$5o10b2o10b5o$5b10o2b10o$5o10b2o10b5o!

I haven't actually tried anything diagonal on an agar, though I have found some c/3 diagonal signals on variations of the long barge wick.

Macbi said that diagonal ship can't exist because it would case lightspeed decaying of the agar in the direction parallel to the zebra stripes, but what if the negative spaceship also moves at lightspeed?

There's no plausible mechanism for healing up a patch of chicken wire at lightspeed behind a negative spaceship.

The closest thing to that is the magically reappearing beehives in Jason Summers' telegraph, but that's not exactly chicken wire, and wouldn't work with agar packed tightly all around it.

Again, I'm no expert on this, so I haven't personally tried running the relevant search at various widths and gotten an official UNSATISFIABLE or "0 solutions" result.

Here's a very short partial backend for p4 lightspeed signal across the chickenwire agar:

Code: Select all

x = 44, y = 23, rule = B3/S23
b2o6b2o6b2o6b2o6b2o6b2o$o2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$3b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2bo$b2o2b2o2b2o2b2o3bo2b2o2bo3b2o2b2o2b2o2b2o$3b2o
2b2o2b2o2b3o2bo2bo2b3o2b2o2b2o2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o$o2b2o2b2o2b2o2bo3b2o2b2o3bo2b2o2b2o2b2o2bo$b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o$3b2o2b2o2b2o2b3o2bo2bo2b3o2b2o2b2o2b2o$b2o
2b2o2b2o2b2o4b2o2b2o4b2o2b2o2b2o2b2o$o2b2o2b2o2b2o2b4o6b4o2b2o2b2o2b2o
2bo$b2o2b2o2b2o2b2obo3bo2bo3bob2o2b2o2b2o2b2o$3b2o2b2o2bo5bo8bo5bo2b2o
2b2o$b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$o2b2o2b2o26b2o2b2o2bo
$b2o2b2o2b2o22b2o2b2o2b2o$3b2o2b2o26b2o2b2o$b2o2b2o2bo24bo2b2o2b2o$o2b
2o2b2o26b2o2b2o2bo$b2o2b2o30b2o2b2o!

That's not saying much, but I'm pretty confident p4 lightspeed is possible. Here's a list of speeds which, as far as I can see, are at least plausible in this agar (relative to the orientation in the rle above):
(0,2)c/4, (0,2)c/5, (0,2)c/6, (4,0)c/4, (4,0)c/5, (4,0)c/6, (2,1)c/4, (2,1)c/5, (2,1)c/6
I'm fairly sure we can rule out (0,2)c/2, (0,2)c/3, (0,4)c/6, and (2,1)c/3

[Schiaparelliorbust]

This seems to be quite a tricky problem to solve. I've spent quite some time searching various agars at various speeds without much success. Pretty much the only thing I've found other than the known negative spaceships / bubbles / agar crawlers / signals in zebra stripes is a p4 lightspeed signal which I posted previously on the Agar crawler thread:

Code: Select all

rle

I haven't actually tried anything diagonal on an agar, though I have found some c/3 diagonal signals on variations of the long barge wick.
Here's a very short partial backend for p4 lightspeed signal across the chickenwire agar:

Code: Select all

rle

That's not saying much, but I'm pretty confident p4 lightspeed is possible. Here's a list of speeds which, as far as I can see, are at least plausible in this agar (relative to the orientation in the rle above):
(0,2)c/4, (0,2)c/5, (0,2)c/6, (4,0)c/4, (4,0)c/5, (4,0)c/6, (2,1)c/4, (2,1)c/5, (2,1)c/6
I'm fairly sure we can rule out (0,2)c/2, (0,2)c/3, (0,4)c/6, and (2,1)c/3

Progress is progress! I guess there are no know frontends. How would oblique ones be plausible? Is there even a program capable of searching for that?

[Macbi]

But single or double cells turning on in width-2 chicken wire start an uncontrollable implosion -- traveling at lightspeed against the grain and 2c/3 with the grain.

I make it more like 4c/5.

Screenshot_20201230_192736.png (127.31 KiB) Viewed 4045 times

[Schiaparelliorbust]

But single or double cells turning on in width-2 chicken wire start an uncontrollable implosion -- traveling at lightspeed against the grain and 2c/3 with the grain.

I make it more like 4c/5.Screenshot_20201230_192736.png

Yep. I also measured 4c/5. There is also a (3,4)c/3 clean implosion.

[wwei23]

Yep. I also measured 4c/5. There is also a (3,4)c/3 clean implosion.

What is this clean implosion?

[Hunting]

How would oblique ones be plausible? Is there even a program capable of searching for that?

WLS

EDIT: My basic question: how were eater 2, 3 and so on discovered? They are found by hand, since Bellman (and probably dr) didn't exist then - but I can't imagine how were they found.

[dvgrn]

My basic question: how were eater 2, 3 and so on discovered? They are found by hand, since Bellman (and probably dr) didn't exist then - but I can't imagine how were they found.

The best answer I can give is that early 1970's Life researchers, particularly David Buckingham who found both the eater 2 and eater 3, developed instincts for how to design collisions and catalysts, to a degree that's pretty rare now that we have search programs to do things for us. Several of the "old guard" were able to design fairly complex glider recipes and other reactions, just using graph paper.

It's a different level of familiarity than most of us are used to -- but once you have those instincts developed, neither eater 2 nor eater 3 would be terribly difficult to find. The eater 3 was no doubt based on an observation like this:

Code: Select all

x = 10, y = 10, rule = B3/S23
7bo$7bobo$7b2o$4b2o$3bo2bo$4bobo$5bo$b2o$obo$2o!

and the question was just, is there a way to support the NE half of the ship, so that it doesn't get destroyed?

[Hunting]

My basic question: how were eater 2, 3 and so on discovered? They are found by hand, since Bellman (and probably dr) didn't exist then - but I can't imagine how were they found.

The best answer I can give is that early 1970's Life researchers, particularly David Buckingham who found both the eater 2 and eater 3, developed instincts for how to design collisions and catalysts, to a degree that's pretty rare now that we have search programs to do things for us. Several of the "old guard" were able to design fairly complex glider recipes and other reactions, just using graph paper.

It's a different level of familiarity than most of us are used to -- but once you have those instincts developed, neither eater 2 nor eater 3 would be terribly difficult to find. The eater 3 was no doubt based on an observation like this:

Code: Select all

x = 10, y = 10, rule = B3/S23
7bo$7bobo$7b2o$4b2o$3bo2bo$4bobo$5bo$b2o$obo$2o!

and the question was just, is there a way to support the NE half of the ship, so that it doesn't get destroyed?

Ah, so they are AbhpzTas. Conduits from "cutting - copying - pasting etc™".

Yes, thinking of them as sacrificial object replacement is definitely easier. After some MathAndCoding it is trivial to figure out the core of eater 3, then one just need to be familiar enough with still life technology.

I'm going to investigate CGOL history further for LeapLife purposes.

[Schiaparelliorbust]

It feels so alien to me honestly how much progress was made without computers or just much slower ones. I really sometimes envy these people. I bet more progress could be made now if more people had done non-computerized investigating, even if they still only rediscovered things, just to develop a feel for these kinds of things.

[Hunting]

It feels so alien to me honestly how much progress was made without computers or just much slower ones. I really sometimes envy these people. I bet more progress could be made now if more people had done non-computerized investigating, even if they still only rediscovered things, just to develop a feel for these kinds of things.

All of my recent work are for this, which serves LeapLife purposes. Do you not worship them?

[Schiaparelliorbust]

All of my recent work are for this, which serves LeapLife purposes. Do you not worship them?

I then congratulate you. When is the 2020 POTY and OCA DOTY voting going to happen? Could you also look at your language thread? No one has really done anything there for about a week.

[Hunting]

All of my recent work are for this, which serves LeapLife purposes. Do you not worship them?

I then congratulate you. When is the 2020 POTY and OCA DOTY voting going to happen? Could you also look at your language thread? No one has really done anything there for about a week.

January.

I had another script idea. I shall edit my TODO list when I'm not busy.
At least wait for my winter vacation!

[Schiaparelliorbust]

Another question: Since this is my first year here, I don't know how the voting is done. Is it first past the post (whichever gets the most votes wins) or something else?

[Hunting]

Another question: Since this is my first year here, I don't know how the voting is done. Is it first past the post (whichever gets the most votes wins) or something else?

Everyone rate every candidate 3, 2, 1 stars or 0 (just don't mention it). Then most vote wins.

[dvgrn]

Another question: Since this is my first year here, I don't know how the voting is done. Is it first past the post (whichever gets the most votes wins) or something else?

More specifically: first we make a nominations thread, and then when no new nominations show up for a week or two, we copy the final list into a voting thread, and anyone who wants to adds a post with zero, one, two, or three stars for each numbered nomination.

Precise instructions are in the second link, for how to vote so that the tally can be checked by an existing script. So I hope the creator of the voting thread quotes those rules and encourages people to stick to them, mostly. (There always has to be someone who doesn't read the directions and does something random instead, or it wouldn't be a proper POTY vote.)

[hotdogPi]

Another question: Since this is my first year here, I don't know how the voting is done. Is it first past the post (whichever gets the most votes wins) or something else?

Everyone rate every candidate 3, 2, 1 stars or 0 (just don't mention it). Then most vote wins.

It turns out that this is pretty much the best way to design a deterministic voting system, with the only improvement being to have a continuous scale instead of discrete options. (I say deterministic because Wikipedia's idea of consensus is also very good, but sometimes it requires the closer to make a decision.)

In an actual election, with three winners (first, second, and third place) instead of one, there could be a slight issue with the three winners being too similar, but since there are no parties or factions on this forum, it isn't a problem here.

[dvgrn]

In an actual election, with three winners (first, second, and third place) instead of one, there could be a slight issue with the three winners being too similar, but since there are no parties or factions on this forum, it isn't a problem here.

No parties or factions? What about the Life vs. OCA political parties, or the Herschel-centric vs. Herschel-averse folks? We have almost as much conflict as, you know, people that can't agree whether the toilet paper roll should unroll from the top or from the bottom.

[MathAndCode]

or the Herschel-centric vs. Herschel-averse folks?

I'm active region-egalitarian not Herschel-averse; I merely want other active regions to get as much recognition as Herschels, not more recognition. Just yesterday, I was searching for conduits accepting Herschels, and I found this B→R (When I search for Herschel accepting conduits, I start with a B-heptomino so I have an idea of a hypothetical input conduit's reaction envelope. Also, once before, I found a good reaction where activity hit the B's first natural block, so now I also start with a B-heptomino in case something like that happens again.) and this H→B.

[GUYTU6J]

Bumping up one of my earlier questions...

What's the growth rate?
...

Code: Select all

x = 7, y = 9, rule = B2n3aikq4ceiz6c/S2-i3-a4i
2b3o$2bobo$2bo2b2o$3bo2bo$4b3o$3bo$2bo$obo$3o!
#C [[ GRAPH ]]

...For the second, the growth rate is asymptotically quadratic.

The quadratic element is actually due to the outermost MMS breeder. By putting the central region into a torus, it gets rid of that factor:

Code: Select all

x = 1506, y = 1511, rule = B2n3aikq4ceiz6c/S2-i3-a4i:T1506,1511
706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$379bo325bobo$378bobo
325b2o$377bo3bo$376bo5bo361bo$375bo7bo359bobo$376bo5bo360b2o$377bo3bo$
378bobo$379bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$394bo
310bobo$393bobo310b2o$392bo3bo$391bo5bo346bo$390bo7bo344bobo$391bo5bo
345b2o$392bo3bo$393bobo$394bo6$706bo$705bobo$706b2o2$744bo$743bobo$
743b2o9$706bo$409bo295bobo$408bobo295b2o$407bo3bo$406bo5bo331bo$405bo
7bo329bobo$406bo5bo330b2o$407bo3bo$408bobo$409bo6$706bo$705bobo$706b2o
2$744bo$743bobo$743b2o9$706bo$424bo280bobo$423bobo280b2o$422bo3bo$421b
o5bo316bo$420bo7bo314bobo$421bo5bo315b2o$422bo3bo$423bobo$424bo6$706bo
$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$439bo265bobo$438bobo265b
2o$437bo3bo$436bo5bo301bo$435bo7bo299bobo$436bo5bo300b2o$437bo3bo$438b
obo$439bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$454bo250b
obo$453bobo250b2o$452bo3bo$451bo5bo286bo$450bo7bo284bobo$451bo5bo285b
2o$452bo3bo$453bobo$454bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o
9$706bo$469bo235bobo$468bobo235b2o$467bo3bo$466bo5bo271bo$465bo7bo269b
obo$466bo5bo270b2o$467bo3bo$468bobo$469bo6$706bo$705bobo$706b2o2$744bo
$743bobo$743b2o9$706bo$484bo220bobo$483bobo220b2o$482bo3bo$481bo5bo
256bo$480bo7bo254bobo$481bo5bo255b2o$482bo3bo$483bobo$484bo6$706bo$
705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$499bo205bobo$498bobo205b2o
$497bo3bo$496bo5bo241bo$495bo7bo239bobo$496bo5bo240b2o$497bo3bo$498bob
o$499bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$514bo190bob
o$513bobo190b2o$512bo3bo$511bo5bo226bo$510bo7bo224bobo$511bo5bo225b2o$
512bo3bo$513bobo$514bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$
706bo$529bo175bobo$528bobo175b2o$527bo3bo$526bo5bo211bo$525bo7bo209bob
o$526bo5bo210b2o$527bo3bo$528bobo$529bo6$706bo$705bobo$706b2o2$744bo$
743bobo$743b2o9$706bo768bo$544bo160bobo766bobo$543bobo160b2o765bo3bo$
542bo3bo925bo5bo$541bo5bo196bo726bo7bo$540bo7bo194bobo726bo5bo$541bo5b
o195b2o728bo3bo$542bo3bo927bobo$543bobo929bo$544bo6$706bo738bo$705bobo
736bobo$706b2o735bo3bo$1442bo5bo$744bo696bo7bo$743bobo696bo5bo$743b2o
698bo3bo$1444bobo$1445bo7$706bo708bo$559bo145bobo706bobo$558bobo145b2o
705bo3bo$557bo3bo850bo5bo$556bo5bo181bo666bo7bo$555bo7bo179bobo666bo5b
o$556bo5bo180b2o668bo3bo$557bo3bo852bobo$558bobo854bo$559bo6$706bo678b
o$705bobo676bobo$706b2o675bo3bo$1382bo5bo$744bo636bo7bo$743bobo636bo5b
o$743b2o638bo3bo$1384bobo$1385bo7$706bo648bo$574bo130bobo646bobo$573bo
bo130b2o645bo3bo$572bo3bo775bo5bo$571bo5bo166bo606bo7bo$570bo7bo164bob
o606bo5bo$571bo5bo165b2o608bo3bo$572bo3bo777bobo$573bobo779bo$574bo6$
706bo618bo$705bobo616bobo$706b2o615bo3bo$1322bo5bo$744bo576bo7bo$743bo
bo576bo5bo$743b2o578bo3bo$1324bobo$1325bo7$706bo588bo$589bo115bobo586b
obo$588bobo115b2o585bo3bo$587bo3bo700bo5bo$586bo5bo151bo546bo7bo$585bo
7bo149bobo546bo5bo$586bo5bo150b2o548bo3bo$587bo3bo702bobo$588bobo704bo
$589bo6$706bo558bo$705bobo556bobo$706b2o555bo3bo$1262bo5bo$744bo516bo
7bo$743bobo516bo5bo$743b2o518bo3bo$1264bobo$1265bo7$706bo528bo$604bo
100bobo526bobo$603bobo100b2o525bo3bo$602bo3bo625bo5bo$601bo5bo136bo
486bo7bo$600bo7bo134bobo486bo5bo$601bo5bo135b2o488bo3bo$602bo3bo627bob
o$603bobo629bo$604bo6$706bo498bo$705bobo496bobo$706b2o495bo3bo$1202bo
5bo$744bo456bo7bo$743bobo456bo5bo$743b2o458bo3bo$1204bobo$1205bo7$706b
o468bo$619bo85bobo466bobo$618bobo85b2o465bo3bo$617bo3bo550bo5bo$616bo
5bo121bo426bo7bo$615bo7bo119bobo426bo5bo$616bo5bo120b2o428bo3bo$617bo
3bo552bobo$618bobo554bo$619bo6$706bo438bo$705bobo436bobo$706b2o435bo3b
o$1142bo5bo$744bo396bo7bo$743bobo396bo5bo$743b2o398bo3bo$1144bobo$
1145bo7$706bo408bo$634bo70bobo406bobo$633bobo70b2o405bo3bo$632bo3bo
475bo5bo$631bo5bo106bo366bo7bo$630bo7bo104bobo366bo5bo$631bo5bo105b2o
368bo3bo$632bo3bo477bobo$633bobo479bo$634bo6$706bo378bo$705bobo376bobo
$706b2o375bo3bo$1082bo5bo$744bo336bo7bo$743bobo336bo5bo$743b2o338bo3bo
$1084bobo$1085bo7$706bo348bo$649bo55bobo346bobo$648bobo55b2o345bo3bo$
647bo3bo400bo5bo$646bo5bo91bo306bo7bo$645bo7bo89bobo306bo5bo$646bo5bo
90b2o308bo3bo$647bo3bo402bobo$648bobo404bo$649bo6$706bo318bo$705bobo
316bobo$706b2o315bo3bo$1022bo5bo$744bo276bo7bo$743bobo276bo5bo$743b2o
278bo3bo$1024bobo$1025bo7$706bo288bo$664bo40bobo286bobo$663bobo40b2o
285bo3bo$662bo3bo325bo5bo$661bo5bo76bo246bo7bo$660bo7bo74bobo246bo5bo$
661bo5bo75b2o248bo3bo$662bo3bo327bobo$663bobo329bo$664bo6$706bo258bo$
705bobo256bobo$706b2o255bo3bo$962bo5bo$744bo216bo7bo$743bobo216bo5bo$
743b2o218bo3bo$964bobo$965bo7$706bo228bo$679bo25bobo226bobo$678bobo25b
2o225bo3bo$677bo3bo250bo5bo$676bo5bo61bo186bo7bo$675bo7bo59bobo186bo5b
o$676bo5bo60b2o188bo3bo$677bo3bo252bobo$678bobo254bo$679bo6$706bo198bo
$705bobo196bobo$706b2o195bo3bo$902bo5bo$744bo156bo7bo$743bobo156bo5bo$
743b2o158bo3bo$904bobo$905bo7$706bo168bo$694bo10bobo166bobo$693bobo10b
2o165bo3bo$692bo3bo175bo5bo$691bo5bo46bo126bo7bo$690bo7bo44bobo126bo5b
o$691bo5bo45b2o128bo3bo$692bo3bo177bobo$693bobo179bo$694bo6$845bo$844b
obo$843bo3bo$842bo5bo$744bo96bo7bo$743bobo96bo5bo$743b2o98bo3bo$844bob
o$704b2o139bo$703bobo$704bo5$815bo$781bo32bobo$780bobo30bo3bo$779bo2bo
29bo5bo$779bobo29bo7bo$778b2o2bo29bo5bo$780bobo30bo3bo$781bo32bobo$
692b2ob2ob2ob2ob2o76bo32bo$691bo2bo2bo2bo2bobo76bo$692bo3bo7bo76bo$
693b3o9bobo74bo$695bo10b2o74bo$781bo14bo$780bobo12bobo$779bob2o13b2o
21bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo$778bo39bobo12bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo$778b2o38b2o13b
2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b
2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b
2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b
2o13b2o13b2o28$5bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo$4bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo$5b2o13b2o
13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o
13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o
13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o
13b2o13b2o$740b3o$740bobo$740bo2b2o$741bo2bo$742b3o$741bo57b2o13b2o13b
2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b
2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b
2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b
2o13b2o13b2o$740bo58bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo$738bobo59bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo$738b3o27$b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o
13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o
13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o
13b2o13b2o13b2o13b2o13b2o13b2o13b2o13b2o38b2o$obo12bobo12bobo12bobo12b
obo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bo
bo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo12bobo
12bobo12bobo12bobo12bobo12bobo12bobo39bo$bo14bo14bo14bo14bo14bo14bo14b
o14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo14bo
14bo14bo14bo21b2o13b2obo$683bobo12bobo$684bo14bo$698bo74b2o10bo$698bo
74bobo9b3o$699bo76bo7bo3bo$698bo76bobo2bo2bo2bo2bo$665bo32bo76b2ob2ob
2ob2ob2o$664bobo32bo$663bo3bo30bobo$662bo5bo29bo2b2o$661bo7bo29bobo$
662bo5bo29bo2bo$663bo3bo30bobo$664bobo32bo$665bo5$776bo$775bobo$635bo
139b2o$634bobo$633bo3bo98b2o$632bo5bo96bobo$631bo7bo96bo$632bo5bo$633b
o3bo$634bobo$635bo6$786bo$605bo179bobo$604bobo177bo3bo$603bo3bo128b2o
45bo5bo$602bo5bo126bobo44bo7bo$601bo7bo126bo46bo5bo$602bo5bo175bo3bo$
603bo3bo165b2o10bobo$604bobo166bobo10bo$605bo168bo7$575bo$574bobo$573b
o3bo158b2o$572bo5bo156bobo$571bo7bo156bo$572bo5bo$573bo3bo195b2o$574bo
bo196bobo$575bo198bo6$801bo$545bo254bobo$544bobo252bo3bo$543bo3bo188b
2o60bo5bo$542bo5bo186bobo59bo7bo$541bo7bo186bo61bo5bo$542bo5bo250bo3bo
$543bo3bo225b2o25bobo$544bobo226bobo25bo$545bo228bo7$515bo$514bobo$
513bo3bo218b2o$512bo5bo216bobo$511bo7bo216bo$512bo5bo$513bo3bo255b2o$
514bobo256bobo$515bo258bo6$816bo$485bo329bobo$484bobo327bo3bo$483bo3bo
248b2o75bo5bo$482bo5bo246bobo74bo7bo$481bo7bo246bo76bo5bo$482bo5bo325b
o3bo$483bo3bo285b2o40bobo$484bobo286bobo40bo$485bo288bo7$455bo$454bobo
$453bo3bo278b2o$452bo5bo276bobo$451bo7bo276bo$452bo5bo$453bo3bo315b2o$
454bobo316bobo$455bo318bo6$831bo$425bo404bobo$424bobo402bo3bo$423bo3bo
308b2o90bo5bo$422bo5bo306bobo89bo7bo$421bo7bo306bo91bo5bo$422bo5bo400b
o3bo$423bo3bo345b2o55bobo$424bobo346bobo55bo$425bo348bo7$395bo$394bobo
$393bo3bo338b2o$392bo5bo336bobo$391bo7bo336bo$392bo5bo$393bo3bo375b2o$
394bobo376bobo$395bo378bo6$846bo$365bo479bobo$364bobo477bo3bo$363bo3bo
368b2o105bo5bo$362bo5bo366bobo104bo7bo$361bo7bo366bo106bo5bo$362bo5bo
475bo3bo$363bo3bo405b2o70bobo$364bobo406bobo70bo$365bo408bo7$335bo$
334bobo$333bo3bo398b2o$332bo5bo396bobo$331bo7bo396bo$332bo5bo$333bo3bo
435b2o$334bobo436bobo$335bo438bo6$861bo$305bo554bobo$304bobo552bo3bo$
303bo3bo428b2o120bo5bo$302bo5bo426bobo119bo7bo$301bo7bo426bo121bo5bo$
302bo5bo550bo3bo$303bo3bo465b2o85bobo$304bobo466bobo85bo$305bo468bo7$
275bo$274bobo$273bo3bo458b2o$272bo5bo456bobo$271bo7bo456bo$272bo5bo$
273bo3bo495b2o$274bobo496bobo$275bo498bo6$876bo$245bo629bobo$244bobo
627bo3bo$243bo3bo488b2o135bo5bo$242bo5bo486bobo134bo7bo$241bo7bo486bo
136bo5bo$242bo5bo625bo3bo$243bo3bo525b2o100bobo$244bobo526bobo100bo$
245bo528bo7$215bo$214bobo$213bo3bo518b2o$212bo5bo516bobo$211bo7bo516bo
$212bo5bo$213bo3bo555b2o$214bobo556bobo$215bo558bo6$891bo$185bo704bobo
$184bobo702bo3bo$183bo3bo548b2o150bo5bo$182bo5bo546bobo149bo7bo$181bo
7bo546bo151bo5bo$182bo5bo700bo3bo$183bo3bo585b2o115bobo$184bobo586bobo
115bo$185bo588bo7$155bo$154bobo$153bo3bo578b2o$152bo5bo576bobo$151bo7b
o576bo$152bo5bo$153bo3bo615b2o$154bobo616bobo$155bo618bo6$906bo$125bo
779bobo$124bobo777bo3bo$123bo3bo608b2o165bo5bo$122bo5bo606bobo164bo7bo
$121bo7bo606bo166bo5bo$122bo5bo775bo3bo$123bo3bo645b2o130bobo$124bobo
646bobo130bo$125bo648bo7$95bo$94bobo$93bo3bo638b2o$92bo5bo636bobo$91bo
7bo636bo$92bo5bo$93bo3bo675b2o$94bobo676bobo$95bo678bo6$921bo$65bo854b
obo$64bobo852bo3bo$63bo3bo668b2o180bo5bo$62bo5bo666bobo179bo7bo$61bo7b
o666bo181bo5bo$62bo5bo850bo3bo$63bo3bo705b2o145bobo$64bobo706bobo145bo
$65bo708bo7$35bo$34bobo$33bo3bo698b2o$32bo5bo696bobo$31bo7bo696bo$32bo
5bo$33bo3bo735b2o$34bobo736bobo$35bo738bo6$936bo$5bo929bobo$4bobo927bo
3bo$3bo3bo728b2o195bo5bo$2bo5bo726bobo194bo7bo$bo7bo726bo196bo5bo$2bo
5bo925bo3bo$3bo3bo765b2o160bobo$4bobo766bobo160bo$5bo768bo9$736b2o$
735bobo$736bo2$773b2o$773bobo$774bo6$951bo$950bobo$949bo3bo$736b2o210b
o5bo$735bobo209bo7bo$736bo211bo5bo$949bo3bo$773b2o175bobo$773bobo175bo
$774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$774bo6$966bo$965bobo$964b
o3bo$736b2o225bo5bo$735bobo224bo7bo$736bo226bo5bo$964bo3bo$773b2o190bo
bo$773bobo190bo$774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$774bo6$
981bo$980bobo$979bo3bo$736b2o240bo5bo$735bobo239bo7bo$736bo241bo5bo$
979bo3bo$773b2o205bobo$773bobo205bo$774bo9$736b2o$735bobo$736bo2$773b
2o$773bobo$774bo6$996bo$995bobo$994bo3bo$736b2o255bo5bo$735bobo254bo7b
o$736bo256bo5bo$994bo3bo$773b2o220bobo$773bobo220bo$774bo9$736b2o$735b
obo$736bo2$773b2o$773bobo$774bo6$1011bo$1010bobo$1009bo3bo$736b2o270bo
5bo$735bobo269bo7bo$736bo271bo5bo$1009bo3bo$773b2o235bobo$773bobo235bo
$774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$774bo6$1026bo$1025bobo$
1024bo3bo$736b2o285bo5bo$735bobo284bo7bo$736bo286bo5bo$1024bo3bo$773b
2o250bobo$773bobo250bo$774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$
774bo6$1041bo$1040bobo$1039bo3bo$736b2o300bo5bo$735bobo299bo7bo$736bo
301bo5bo$1039bo3bo$773b2o265bobo$773bobo265bo$774bo9$736b2o$735bobo$
736bo2$773b2o$773bobo$774bo6$1056bo$1055bobo$1054bo3bo$736b2o315bo5bo$
735bobo314bo7bo$736bo316bo5bo$1054bo3bo$773b2o280bobo$773bobo280bo$
774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$774bo6$1071bo$1070bobo$
1069bo3bo$736b2o330bo5bo$735bobo329bo7bo$736bo331bo5bo$1069bo3bo$773b
2o295bobo$773bobo295bo$774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$
774bo6$1086bo$1085bobo$1084bo3bo$736b2o345bo5bo$735bobo344bo7bo$736bo
346bo5bo$1084bo3bo$773b2o310bobo$773bobo310bo$774bo9$736b2o$735bobo$
736bo2$773b2o$773bobo$774bo6$1101bo$1100bobo$1099bo3bo$736b2o360bo5bo$
735bobo359bo7bo$736bo361bo5bo$1099bo3bo$773b2o325bobo$773bobo325bo$
774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$774bo6$1116bo$1115bobo$
1114bo3bo$736b2o375bo5bo$735bobo374bo7bo$736bo376bo5bo$1114bo3bo$773b
2o340bobo$773bobo340bo$774bo9$736b2o$735bobo$736bo2$773b2o$773bobo$
774bo6$1131bo$1130bobo$1129bo3bo$736b2o390bo5bo$735bobo389bo7bo$736bo
391bo5bo$1129bo3bo$773b2o355bobo$773bobo355bo$774bo9$736b2o$735bobo$
736bo2$773b2o$773bobo$774bo!
#C [[ GRAPH ]]

So what function does the population plot show now?

[praosylen]

The quadratic element is actually due to the outermost MMS breeder. By putting the central region into a torus, it gets rid of that factor:

Code: Select all

rle

So what function does the population plot show now?

Bounded above, it seems to be O(log(n)^2) — I think? Bounded below, I think (?) it's O(log(n)) in absolute deviation from the initial population.