Thread for basic questions

A place, especially for newcomers, to ask questions and learn the basics.
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dvgrn
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Re: Thread for basic questions

Post by dvgrn »

get_Snacked wrote: September 19th, 2024, 1:26 pm why do we love this stuff? and why didn't we love this stuff before?
Good question. I can't claim to have any kind of definitive answer, but ...

Glider syntheses have had big theoretical implications in CGoL since fairly early on. Maybe not so much back when Conway-and-graduate-students-and-I-think-Richard-Guy (heh, the "Conway group") were putting together their proof of CGoL's computational universality -- for that you just need logic circuitry, you don't need it to be glider-constructible. But certainly by the time construction universality was being discussed, it was obviously very important to know how to assemble the various basic building blocks of circuitry.

In 1981 Conway wrote: "If (ask Gosper) gliders can crash to form a pentadecathlon, then I can produce self-replicating machines, and it's undecidable whether any given machine is self-replicating or not." (page 20 of this PDF) ... Interesting that Conway didn't know that detail in 1981, since there had been pentadecathlon recipes around since 1973 (5 gliders) and 1974 (4 gliders). I guess that was a very early example of the Optimization Game for syntheses!

It looks like David Buckingham's seminal super-ambitious synthesis project, producing recipes for all still lifes up to 14 bits, didn't happen until sometime in the 1990s -- or at least didn't get finished until then. And then Mark Niemiec's database collecting and expanding on those results has been a source of wonder and inspiration and useful information ever since, supplemented by Catagolue's lists once those became available.

Point being, there seems to be pretty good evidence of people having lots of fun crashing gliders together, for over half a century now.
get_Snacked wrote: September 19th, 2024, 1:26 pmwhy is our love for it increasing?
If indeed that is what's happening, maybe it's because glider syntheses are an area of CGoL that has a learning curve that doesn't look too scary. It's easy to dive in and start doing some good mad-scientist stuff, crashing gliders together and seeing what happens.

Glider-crashing experiments seem to have been a very popular CGoL pastime for a long time, even among people who don't get into the theory much. It's kind of the CA equivalent of setting up dominoes and/or watching them fall over (which is also something that I personally used to do a lot, by the way, back in the previous millennium).

-- Now, sure, most of us look at things like the spacefiller synthesis and kind of shake our heads in amazement. That synthesis has about a hundred different tricks in it that most of us wouldn't have any idea how to re-discover, if the recipe were somehow lost. But that's just to show that there is a continuum of players of the glider-collision game, right up to the occasional synthesis grandmasters.

It's still quite possible for a newcomer to find a still life on Catagolue that has never been synthesized before, spend a little time with a tutorial or two, and figure out a brand-new synthesis based on some serendipitous soup. That's a contribution right out on the frontier of CGoL research, a solution to a never-before-solved problem.

It makes sense to me that that would be more gratifying, and therefore more popular, than spending weeks or months trying to study up far enough to reach the frontier of research for something like reducing RCT15 to RCT14, or building a 2D memory for a computer-replicator, or finding an oblique spaceship smaller than Sir Robin, or (name your favorite problem here).
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Re: Thread for basic questions

Post by DotPuntoPoint »

It is not known if it is possible to synthesize a Sir Robin with gliders. However, is it possible to synthesize a glider with Sir Robins?
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Re: Thread for basic questions

Post by confocaloid »

DotPuntoPoint wrote: September 20th, 2024, 11:46 pm It is not known if it is possible to synthesize a Sir Robin with gliders. However, is it possible to synthesize a glider with Sir Robins?
Related discussion: viewtopic.php?f=2&t=4291 Synthesis of gliders using other spaceships
viewtopic.php?f=2&t=4746 Loafer Synthesis
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Re: Thread for basic questions

Post by Haycat2009 »

There has been an increase in Lifewiki accounts without a forum account. Are they spam or valid?
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Re: Thread for basic questions

Post by confocaloid »

related discussion: viewtopic.php?f=16&t=91 "Anti-Spam Protection on LifeWiki"
Haycat2009 wrote: September 25th, 2024, 3:09 am There has been an increase in Lifewiki accounts without a forum account. Are they spam or valid?
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Re: Thread for basic questions

Post by b-engine »

Haycat2009 wrote: September 25th, 2024, 3:09 am There has been an increase in Lifewiki accounts without a forum account. Are they spam or valid?
There has also been an increase in forum accounts that has a link to external website and never posted. Are they a spam?
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Re: Thread for basic questions

Post by dvgrn »

The strings of new LifeWiki accounts are pretty clearly spammer accounts -- they follow a very standard naming pattern, and none of them ever show up to request a trusted flag.

If any of them do create a corresponding forum account and make that request, I'm definitely going to be asking them some very pointed questions about what exactly they want to add to the LifeWiki. But so far, this is looking like a new semi-automated system for spam account creation -- maybe a piece of purchasable software that different spammers are testing out.

Spammers can't actually post anything on the LifeWiki without the trusted flag, but meanwhile the software is posting stuff successfully to lots of other wikis and generating new traffic for them, so they're getting what they want. It's not like they're going to bother coming around and cleaning up after themselves, in cases like the LifeWiki that don't work out for them!

That's all just a theory, but it's one that maybe successfully explains the random trickle of new LifeWiki accounts recently.

There was some discussion of this on Discord yesterday --
dvgrn wrote:hotdogPi — 09/23/2024 6:37 AM
What's going with the user creation log on the wiki?

dvgrn — 09/23/2024 2:20 PM
Spammers. They're in for a disappointment, because they can't do anything with those accounts unless they also set up a forum account and ask to be trusted -- and I'm not going to trust any of those names very easily.
I checked in with Nathaniel a little bit about the mini-storm of new users this morning. Nathaniel mentioned something mildly surprising --
Nathaniel wrote:... there's an extension that lets you do IP tracking of users, but not retroactively. MediaWiki by default doesn't log anywhere IP addresses of account creations (which I didn't realize, and seems kind of crazy to me).
b-engine wrote: September 25th, 2024, 3:54 am
Haycat2009 wrote: September 25th, 2024, 3:09 am There has been an increase in Lifewiki accounts without a forum account. Are they spam or valid?
There has also been an increase in forum accounts that has a link to external website and never posted. Are they a spam?
Yup, this isn't an uncommon pattern -- totally separate from what's happening on the LifeWiki, but also a pretty clear pattern of semi-automated creation. Out of the current recent crop of likely spammers (based on the link sig spam), we've got a clear pattern of mostly lowercase, mostly four-letter suffixes added to common first names.

amandarobinson, [georgeroxx, Cameronroxx], estellahere, [robertcold, connorcold, lorenzocold]

-- I think I've just figured out how to clear out spam signatures, so I'm going to go try that now. Nathaniel tends to clear the actual accounts out of the database at random intervals, just by deleting long-inactive accounts that have zero posts.
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Re: Thread for basic questions

Post by confocaloid »

b-engine wrote: September 25th, 2024, 3:54 am [...] Are they a spam?
Most spammers are predictable, just use common sense. For example, at least three recently created forum accounts have usernames that end with 'cold', a non-CA-related link in the profile, and zero posts.
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Re: Thread for basic questions

Post by Aleph »

I spotted this oscillator in jslife today. Does anyone know where it came from?

Code: Select all

x = 10, y = 10, rule = B3/S23
b2o$b3o4bo$o5b3o$bo2bob2o$4bobo$3o4bo$7bo$8bo$7bobo$8bo!
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Re: Thread for basic questions

Post by confocaloid »

The recently created page "Aperiodic tiling" (current revision) misses an important distinction.

There are tiles / tile sets, and there are tilings.
  • A tiling can be periodic (if the entire tiling has a translation symmetry), or non-periodic (if the entire tiling doesn't have any translation symmetry).
  • A set of tiles can be aperiodic, if it is possible to tile the plane by copies of tiles in the set but any such tiling must necessarily be non-periodic.
The current title of the page is a confusion between "aperiodic tile set" and "non-periodic tiling". How about renaming the page to one of these two, depending on the exact intended topic/scope?
An aperiodic monotile exists! wrote: Is it possible to arrange the tiles so that there’s no translation symmetry – so that each point in the plane looks completely unique? This is called a non-periodic tiling.

If you split up a square into a few rectangles with the same proportions, you can produce a non-periodic tiling of the plane by arranging them in a different configuration depending on their position on the plane. But you could also arrange them the same way everywhere, so there would be translation symmetry.

[...]

Versions of the shapes which encode the matching rules, with chunks removed and added from the correct edges to force the matching (like the ones shared by Edmund Harriss in our Math-Off) constitute true aperiodic tile sets.
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Re: Thread for basic questions

Post by dvgrn »

confocaloid wrote: September 28th, 2024, 12:31 pm The recently created page "Aperiodic tiling" (current revision) misses an important distinction...
There's definitely a little copy-editing needed in the first paragraph. The jump from talking about tilings to talking about "sets of shape" (sic) is maybe a little too abrupt, there isn't really such a thing as "the" Penrose tiling ... and, hmm, I wonder if the hat and spectre and their relatives instantly became just about as famous as Penrose rhombs / darts-and-kites as soon as they were invented, just by virtue of solving the aperiodic monotile problem.

Question: why is there a definition of "aperiodic monotile" on LifeWiki? There's no Conway's Life instantiation of a hat or spectre tiling, is there? I'd just like to be careful not to import all of mathematics into the LifeWiki, when we could perfectly well just link to the information somewhere else.

The Wikipedia article on "aperiodic tiling" reads to me like the same basic topic that the LifeWiki Aperiodic tiling article is trying to address -- including a section on confusion regarding terminology. Once the copy-editing of the first paragraph is done, don't we really want this article to be talking about aperiodic tilings, not about non-periodic tilings or aperiodic tile sets?
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Re: Thread for basic questions

Post by confocaloid »

dvgrn wrote: September 28th, 2024, 1:09 pm [...] Once the copy-editing of the first paragraph is done, don't we really want this article to be talking about aperiodic tilings, not about non-periodic tilings or aperiodic tile sets?
My point is basically that the current page title "aperiodic tiling" is a confusion between "aperiodic tile set" and "non-periodic tiling".

Note that the page ( https://conwaylife.com/w/index.php?titl ... did=155961 ) currently contains parts like

>> "Jeandel-Rao[1] proved that 11 tiles and 4 colours are the respective minimums necessary for a Wang tile set to force aperiodicity, and exhibited an example set meeting both minimums at once."

>> "... that may tile the plane as a still life, but only aperiodically."

>> "Determining whether a set can tile the plane is in general undecidable, ..."

In other words, most of the page talks about tile sets, and whether or not they force non-periodic tilings.
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Re: Thread for basic questions

Post by Selena Silverstep »

Does this pattern have a name? It seems fairly common, but I don't think I see it in Simon Ekström's list

Code: Select all

x = 5, y = 4, rule = B3/S23
obo$o2b2o$o2bo$2bo!
I don't know what the community is doing, I just like watching soups explode.
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Re: Thread for basic questions

Post by hotdogPi »

Unnamed, ranked #129 (zero-indexed).
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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Re: Thread for basic questions

Post by Haycat2009 »

Is Fx158 still the only elementary conduit where the Herschel evolves from something incompatible with the transparent block reaction?
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Re: Thread for basic questions

Post by confocaloid »

Haycat2009 wrote: September 30th, 2024, 6:02 am Is Fx158 still the only elementary conduit where the Herschel evolves from something incompatible with the transparent block reaction?
I think it's helpful to explicitly clarify "the only known ..." whenever that is the intended meaning.

I'm pretty sure that Fx158 is not the only elementary conduit with that property, but on the other hand I don't remember or find any other known examples.

Here is a failed connection between Fx158 and a Herschel-consuming conduit that begins with the transparent block reaction (shown on the top), and for comparison a working connection involving Fx153 (shown on the bottom):

Code: Select all

x = 102, y = 96, rule = B3/S23
76bo$74b3o$73bo$73b2o$61bo$32bo4b2o22b3o$31bobo2bobo7b2o16bo$30bo2b4o
9bo16b2o$30bobo4bo6bobo$28b3ob2o2b2o6b2o$27bo49b2o$24bo2b4ob2o43b2o$
24b3o3bob2o$27bo$26b2o4$101bo$99b3o$82b2o15bo$52bob2o26b2o15bo$50b3ob
2o$50bo$50bo$23bo$23bobo$23b3o53b2o$25bo53bo$80b3o$38b2o42bo$32b2o4bob
o$33bo6bo$30b3o7b2o$30bo26$76bo$74b3o$73bo$73b2o$61bo$61b3o$64bo$63b2o
3$77b2o$77b2o2$25b2o$2o24bo$bo13b2o6b3o$bobo11b2o6bo$2b2o$101bo$99b3o$
82b2o15bo$52bob2o26b2o15bo$50b3ob2o$33b2o15bo$2bo30b2o15bo$2bobo$2b3o$
4bo74b2o$79bo$80b3o$30b2o50bo$30bo$11b2o3b2o13bo$12bo3bo13b2o$9b3o5b3o
$9bo9bo!
#C [[ THEME Catagolue  ]]
The reaction in Fx158 just deletes the block (T = 129) and then proceeds the same way as if there was no block.
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Re: Thread for basic questions

Post by pifricted »

How to make a ruletable with larger neighborhood?
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Re: Thread for basic questions

Post by confocaloid »

pifricted wrote: October 1st, 2024, 5:26 am How to make a ruletable with larger neighborhood?
I think you can do that with lifelib/apgsearch:
viewtopic.php?p=181581#p181581
viewtopic.php?p=66826#p66826
However, such ruletables will not work in Golly/LifeViewer.

Additionally, there are interesting types of CA with higher-range neighbourhoods, that can be defined using the "weighted neighbourhood" notation (NW...), without needing a separate file: viewtopic.php?f=11&t=4434&start=100
calcyman wrote: December 28th, 2018, 12:51 am [...]
In particular, you can run:

Code: Select all

sess = lifelib.load_rules('path/to/Langtons-Loops.table')
The rule format accepts arbitrary neighbourhoods (as lists of coordinate pairs) and symmetry groups (as lists of generators, each expressed as a list of disjoint cycles). For instance, instead of:

Code: Select all

neighborhood:Moore
symmetries:rotate4reflect
you can write:

Code: Select all

neighborhood:[(0,0), (0,-1), (1,-1), (1,0), (1,1), (0,1), (-1,1), (-1,0), (-1,-1), (0,0)]
symmetries:[[(1, 3, 5, 7), (2, 4, 6, 8)], [(2, 8), (3, 7), (4, 6)]]
In particular, the neighbourhood on which a cell can depend is allowed to be an arbitrary subset of the 17x17 square centred on that cell. (Compare this with the Moore neighbourhood, which is a mere 3x3 square.) As such, each coordinate in each pair in the neighbourhood is allowed to range from -8 to 8, inclusive.
[...]
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Re: Thread for basic questions

Post by pifricted »

confocaloid wrote: October 1st, 2024, 6:00 am
Like this?

Code: Select all

@RULE k-ant
      nw   ne
wn               en
           c
ws                es
      sw   se
@COLORS
0 0 0 0
1 255 255 255
@TABLE
n_states:18
neighborhood:[(0,0), (1,2), (2,1), (2,-1), (1,-2), (-1,-2), (-2,-1), (-2,1), (-1,2), (0,0)]
symmetries:none
var tw={2,3,4,5,6,7,8,9}
var tb={10,11,12,13,14,15,16,17}
var b={0,1}
var nw={2,10}
var ne={3,11}
var en={4,12}
var es={5,13}
var se={6,14}
var sw={7,15}
var ws={8,16}
var wn={9,17}
var nnw={b,ne,en,es,se,sw,ws,wn}
var nne={b,nw,en,es,se,sw,ws,wn}
var nen={b,nw,ne,es,se,sw,ws,wn}
var nes={b,nw,ne,en,se,sw,ws,wn}
var nse={b,nw,ne,en,es,sw,ws,wn}
var nsw={b,nw,ne,en,es,se,ws,wn}
var nws={b,nw,ne,en,es,se,sw,wn}
var nwn={b,nw,ne,en,es,se,sw,ws}
var ant={tw,tb}
var a1={b,ant}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
#0,nnw,nne,nen,nes,nse,nsw,nws,nwn,
0,nw,nne,nen,nes,nse,nsw,nws,nwn,3
0,nnw,ne,nen,nes,nse,nsw,nws,nwn,4
0,nnw,nne,en,nes,nse,nsw,nws,nwn,5
0,nnw,nne,nen,es,nse,nsw,nws,nwn,6
0,nnw,nne,nen,nes,se,nsw,nws,nwn,7
0,nnw,nne,nen,nes,nse,sw,nws,nwn,8
0,nnw,nne,nen,nes,nse,nsw,ws,nwn,9
0,nnw,nne,nen,nes,nse,nsw,nws,wn,2
#1,nnw,nne,nen,nes,nse,nsw,nws,nwn,
1,nw,nne,nen,nes,nse,nsw,nws,nwn,17
1,nnw,ne,nen,nes,nse,nsw,nws,nwn,10
1,nnw,nne,en,nes,nse,nsw,nws,nwn,11
1,nnw,nne,nen,es,nse,nsw,nws,nwn,12
1,nnw,nne,nen,nes,se,nsw,nws,nwn,13
1,nnw,nne,nen,nes,nse,sw,nws,nwn,14
1,nnw,nne,nen,nes,nse,nsw,ws,nwn,15
1,nnw,nne,nen,nes,nse,nsw,nws,wn,16
#
tw,a1,a2,a3,a4,a5,a6,a7,a8,1
tb,a1,a2,a3,a4,a5,a6,a7,a8,0
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Re: Thread for basic questions

Post by confocaloid »

pifricted wrote: October 1st, 2024, 8:07 am
confocaloid wrote: October 1st, 2024, 6:00 am
Like this?

Code: Select all

@RULE k-ant
I don't know enough about your idea with those rules to be able to tell whether it works as intended.

But otherwise yes, it should look like that. If you need some more interesting symmetries, you will likely need to give a set of generators for the permutation group.

After renaming from "k-ant" to "K-ant" (the @RULE name must begin with an uppercase letter), saving it as a file "K-ant.rule" in the current directory, and cloning lifelib into the current directory via

Code: Select all

# git clone https://gitlab.com/apgoucher/lifelib.git
... I was able to run the following Python 3 script:

Code: Select all

import lifelib

sess = lifelib.load_rules("K-ant.rule")
lt = sess.lifetree(memory = 128)
p = lt.pattern("""x = 16, y = 16, rule = K-ant
DH2.I.L3.F.2M.J$N.H.DJI2.OB.BG.J$.IA.AQ.DJ.2PJHJ$HI4.H3.B.K2.G$QOA.DH
2.IG2E.N$CHI3.BDBOJ.2QP$3.J.QCO.P.CN$PQIPJ.J6.CFJ$.FMD.C.QHOJQE2.F$I.
P2.F4.MJC.IQ$3.2FN2.A5.EH$H.P2.L5.NIK$.JP4.LCL.2G$O3.J.BIH3.F.2G$.QC.
J2.FQANHA.C$.E3.BP.HGCE2.HK!
""")

for t in range(10):
    generation_t = p[t]
    print("#C generation {}, population {}:".format(t, generation_t.population))
    print(generation_t.rle_string())
This script outputs the following:

Code: Select all

#C generation 0, population 137:
#CLL state-numbering golly
x = 16, y = 16, rule = xk-ant
DH2.I.L3.F.2M.J$N.H.DJI2.OB.BG.J$.IA.AQ.DJ.2PJHJ$HI4.H3.B.K2.G$QOA
.DH2.IG2E.N$CHI3.BDBOJ.2QP$3.J.QCO.P.CN$PQIPJ.J6.CFJ$.FMD.C.QHOJQE
2.F$I.P2.F4.MJC.IQ$3.2FN2.A5.EH$H.P2.L5.NIK$.JP4.LCL.2G$O3.J.BIH3.
F.2G$.QC.J2.FQANHA.C$.E3.BP.HGCE2.HK!

#C generation 1, population 132:
#CLL state-numbering golly
x = 20, y = 20, rule = xk-ant
7.B8.C$5.IC2.B.C.C2.C$2.2AB.A2.C2.AC$E3.A.A.A3.A.2A$3.2A.A2.A.B3.A
.H$2.2A.B2.A2.CA2.2BA$D3.QI2AB.4A4.IH$2.3A.DC3A$4.I3.A.B.FA2.G$4.A
6.H3.2A.B$3.A.AIA2.A3.AG.A$2.AE3.A6.ABA2.I$2.CF.2A3.A5.2AG$2.A2.CI
3.BF2.A$6.3G.A.I2AF$7.E3A3.A.2A$4.A4.A.A.2ADA2.H$3.A3.A2.4A.GA$10.
G$2.F9.F!

#C generation 2, population 167:
#CLL state-numbering golly
x = 24, y = 24, rule = xk-ant
8.C$8.B.C5.D$5.CD2.A.D.D2.D.A$7.2AD.A.A.A2.A$4.3A.A2.AC.2A$2.A3.Q.
A.A3.A.2Q3.I$5.2ABPC.J.A3.A.A.B$.F2.2A.A2.A2.2A2.3A3.I$2.A4.4AC4A
4.2A$E3.3A.5A6.C$6.A2.BA.A.AO2.A$6.A6.A2.C2A.A.B$5.A.3A2.A2.G2A.A$
2.D.2A3.P.C4.3AH.A$4.2A.2A3.A2.B2.3A$4.L2.2A3.2A2.A5.H$6.G.3A.A.4A
$9.A3N.G.A.2A3.I$6.A4.A.A.3AM2.A$5.A2.FA2.3AK.2A$12.A6.H$4.A9.A2$
5.G9.G!

#C generation 3, population 187:
#CLL state-numbering golly
x = 26, y = 26, rule = xk-ant
7.DC$9.A$4.D4.A.A5.A$6.2A2.A.A.AE.A.A$5.E2.P2ADK.AEA.BP3.B$5.2AQEA
.C2A.2A4.C$3.A4.DA.O3.A6.A2.B$6.3A.A3.A3.A.A.A$2.A2.2A.A.DA2.2A2.
3A3.A$3.A4.AQ7A.D2.2A$.A.G.3A.5A6.A.C$7.A2.2A.A.J3.A$F6.A6.A2.ANA.
A.A$6.A.2AJ.IA.C3A.A.I$3.A.2A5.A4.AN2A.A$.E3.2A.2A3.A2.A2.3A3.I$8.
2A3.2A2.A5.A.B$3.E3.A.3A.A.4A$9.HA4.A.A.2A3.A$7.A4.A.J.ANA3.A$6.A
2.2A.G2MA2.2A2.I$13.A4.F.A$5.A4.G4.A2$6.A9.A$8.H9.H!

#C generation 4, population 204:
#CLL state-numbering golly
x = 27, y = 27, rule = xk-ant
6.D$7.2A$5.E3.A$4.A4.A.A5.Q4.C$2.E3.2AB.A.A.2A.A.A.I$5.A3.J2A2.3A.
A4.AC$5.2A.AK.3AF2A4.A$3.AF3.2A4.FA6.A2.A$6.KLA.P2.HA3.A.A.A$2.A2.
2A.A.2A2.2A2.3A3.A$3.A4.K.4AQ2A.A.D2A$.A.A.3A.5A2.E3.A.A$5.H.A.C2A
.P5.A3.B$A6.A5.DA2.A.A.A.A$6.A.2A2.2A.4A.A.A3.B$.G.A.2A5.A4.A.MA.A
.C$.A3.2A.2A3.A2.A2.3A3.A$8.2A3.2A2.A.G3.A.A$F2.A3.A.2AO.Q.4A$9.2A
4.A.A.2A2.BA$2.F4.A4.A3.A.A3.A$6.A2.2A.A2.A2.2A2.A$13.AH3.A.A$5.A
4.A.2F.A$12.H6.G$6.A3.I5.A3.I$8.A9.A!

#C generation 5, population 223:
#CLL state-numbering golly
x = 27, y = 27, rule = xk-ant
6.A$4.E2.2A9.B$5.A.C.A10.D.B$4.A3.CA.A10.A$2.A.F.3A.A.A.2A.A.A.AD$
5.A.D2.2A2.3A.A4.2A$.F3.2A.A2.6A4.A$3.2A3.2A2.I.AO6.A2.A$8.A4.2A3.
A.A.A$2.A2.AJ.A.2A2.AM2.3A3.A$3.A6.4A.2A.A.2AQ$.A.A.3A.5A.IA.E.A.A
$5.A.A.3A7.A3.A.C$A6.A5.2AF.A.A.A.A$6.A.2A.E2A.4A.A.J3.A$.A.A.2A5.
A4.A2.A.A.A$.A.H.2A.2A3.AB.A2.3A3.A$8.2A3.2A2.AFA2.CA.A$A2.A3.A.2A
4.4A2.H$9.2A2.H.A.A.2A2.2A$.GA4.A4.A3.A.A3.A$6.A2.2A.A2.AI.2A2.A$
3.G9.2A3.A.A$5.A4.AB2AIA5.B$12.A6.A$6.A3.A2.2G.A3.AH$8.A9.A!

#C generation 6, population 241:
#CLL state-numbering golly
x = 27, y = 28, rule = xk-ant
17.C$6.A14.C$4.AD.2A9.A$5.ADA.A10.A.A$3.FA3.2A.A6.E3.A$2.A.A.3A.A.
A.2A.A.A.2A$5.A.A2.2A.B3A.A.E2.2A$.A3.2A.A2.6A4.A$3.2AC2.2A2.A.A7.
A2.A$2.G5.A4.2A2.HA.A.AB$2.A2.A2.A.2A2.A.B.3A3.A$3.A6.4A.2A.A.2A$.
A.A.3A.5AF2A.A.A.AD$5.A.A.3A7.A.C.A.A$A6.A5.3A.L.A.A.A$6.A.2A.2AQ.
4A.A5.A$.A.A.OA5.A3.GA2.A.A.A$.A.A.2A.2AF2.2A.A2.AJA3.A$8.2A3.2A2.
3A2.AO.A$A2.A3.A.2A4.O3A2.A$9.2A2.A.A.P.MA2.2A$.2A4.A4.A3.A.A3.A$
3.H2.A2.AQ.A2.PA.2AC.A$3.A9.2A3.A.A$5.N4.6A5.A$12.A6.A3.I$6.A3.A2.
2A.A3.2A$8.A6.2H.A!

#C generation 7, population 254:
#CLL state-numbering golly
x = 27, y = 29, rule = xk-ant
15.D$17.A.D$6.A14.A$4.2A.2A9.A$3.E.3A.A10.A.A$3.AK3.2A.AC5.A3.A$2.
A.A.3A.A.A.2A.A.A.2A$4.GA.A2.2A.4AFA.A2.2A$.A.D.2A.A2.6A4.AC$3.3A
2.2A2.A.AC6.A2.A$2.A5.A4.2A2.2A.A.2A$2.A.HA2.A.2A2.A.A.3A3.A$3.A6.
4A.2A.A.2A$.A.A.3A.8A.ADA.2A$5.A.A.3A2.B4.A.A.A.A$A6.A5.2AM3.A.A.A
$6.A.2A.2A2.K3ACA5.A$.A.A2.A5.A3.2A2.A.A.A$.A.A.2AH3A2.2A.A.HA.A3.
A$8.2A3.2A2.3A2.A2.A$A2.A3.A.2AG4.3AI.A3.H$9.2AB.A.A4.A2.2A$.2A2.I
.A4.A3.AIJ3.A$3.A2.A2.A2.A3.A.L2A.A$3.A9.2A3.A.A3.B$10.6A5.A$12.A
6.A3.A$6.M3.A2.2A.A2I.2A$8.A6.2A.A!

#C generation 8, population 268:
#CLL state-numbering golly
x = 28, y = 30, rule = xk-ant
15.A$13.E3.A.A$6.A10.E3.A$4.2A.2A9.A$2.DA.3A.AD9.A.A$3.A4.2A.2A5.A
3.A$2.L.A.3A.A.A.2A.A.A.2A$4.2A.A2.2A.6A.J2.2A$.A.A.AN.A2.2AJ3A4.
2A$.E.3A2.2A2.A.2A2.G3.A2.A$2.A3.I.A4.2A2.2A.A.2A$2.A.2A2.A.2A2.A.
A.3A3.A$3.A6.3AQ.2A.A.2A$.A.A.3A.8A.3A.2A$5.A.A.3A2.A2.E.A.A.A.A$A
6.A5.JA2.D.A.A.A$6.A.2A.2A3.5A5.A$.A.A2.A2.I2.A.F.2A2.O.A.A$.A.A.
6A2.2A.A.2ABA3.A$8.2AC2.2A2.3A2.A2.A.I$A2.A2.BA.3A4.AQPA.A3.A$9.3A
.N.A4.A2.2A$.2A2.A.A4.A3.2A4.AC$3.A2.A2.A2.A3.A2.2A.A$3.A9.2A.E.A.
A3.A$10.6A2.2B.A$12.A6.A3.A$10.A2.2A.3A.2A$8.A6.2A.A$5.F!

#C generation 9, population 278:
#CLL state-numbering golly
x = 29, y = 32, rule = xk-ant
15.A$13.A3.A.A$6.A10.A3.A$4.2A.2A3.F5.A$2.2A.3A.2A5.F3.A.A$E2.A4.K
A.2A5.AC2.A$4.A.3A.A.Q.2A.A.A.2A$E3.2A.A2.2A.6A4.2A$.A.A.A.BA2.2A.
3A4.2A$.A.3A2.2A2.A.2A2.A3.A2.A$2.A3.AGA4.AP2.2A.N.2A$F.A.2A2.A.2A
2.A.A.3A3.A$3.A6.3A2.2A.A.2A$.A.A.3A.3AQ4A.3A.2A$5.A.A.3A2.A2.A.A.
A.A.A$A6.A2.B3.A2.A.A.A.A$6.A.2A.2A2.EL2AQA5.A$.A.A2.A2.A2.A.A.2A
4.A.A3.B$.A.A.Q2AJ2A2.2A.A.P3AH2.A$8.3A2.2AG.3AI.A2.A.A$A2.A2.2A.
3A4.A2.A.A3.A$9.3A3.A4.AD.2A$.2A2.A.A4.A3.2A4.2A$3.A2.A2.A2.A.G.A
2C2A.A$3.A9.2A.A.A.A3.A$10.6A2.2A.A$12.A2.F3.A3.A$10.A2.2A.3A.2A$
8.A6.2A.A$5.A2$6.G!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Thread for basic questions

Post by confocaloid »

Certain questions/messages that were left on the wiki, look like basic questions to me.
I think such questions should go on the forums instead, to let more people participate in discussions / increase likelihood of getting meaningful answers.

Two most recent examples of such messages are
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
hotdogPi
Moderator
Posts: 2290
Joined: August 12th, 2020, 8:22 pm

Re: Thread for basic questions

Post by hotdogPi »

They should remain on the wiki. They're about specific statements on the article associated with the talk page that need to be clarified or checked for accuracy.

Several people check Recent Changes regularly, so it won't go unseen.
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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confocaloid
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Re: Thread for basic questions

Post by confocaloid »

hotdogPi wrote: October 3rd, 2024, 12:59 pm They're about specific statements on the article associated with the talk page that need to be clarified or checked for accuracy.
At least second linked message is apparently misplaced (I did not find any mentions of tHighLife in the current revision of OCA:HighLife).
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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get_Snacked
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Re: Thread for basic questions

Post by get_Snacked »

i'm looking for some fishhook alternatives with a recovery time greater than 10. can someone list a few?
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confocaloid
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Re: Thread for basic questions

Post by confocaloid »

get_Snacked wrote: October 7th, 2024, 9:06 am i'm looking for some fishhook alternatives with a recovery time greater than 10. can someone list a few?
How about "1998-eater-stamp-collection.rle" in "Patterns/Life/Still-Lifes/"?
1998-eater-stamp-collection.rle wrote:

Code: Select all

#C Collection of 88 glider eaters
#C These take between 4 and 25 gens to recover.
#C A few of these have been known for many years: 4.0 is 'eater';
#C 5.0 is 'eater2'; 6.0 and 6.1 are variations of 'eater3'.
#C 10.0 and 11.3 produce a 1-bit spark, which can be useful.
#C Dean Hickerson, ~ December 1998
#C http://www.radicaleye.com/DRH/glider.eaters.html
x = 241, y = 350, rule = B3/S23
9b2o4b2o$10bo5bo$9bo5bo$9b2o4b2o6bo11bo$11bob2o9bo11bo2b2o$11b2obo7b3o
9b3obobo$15b2o22bo$16bo8b2o$15bo9bo11b5o$15b2o9b3o9bo2bo$28bo7bo$36b2o
$15b2o$15b2o6$11bob2o$11b2obo29b2o$9b2o12bo17bo3bo$10bo13bo17bo2bob2o$
9bo12b3o15b3ob2obo$9b2o15b2obo15bobo$11bob2o11b2ob3o12bo2b2o$11b2obo
17bo5bo2bo2b2o2bo$15b2o9b2ob3o6b4o4b2o$16bo10bobo12b4o$15bo11bobo10bob
o2bo$15b2o11bo11b2o$11bob2o$11b2obo5$118b2o$11b2obo8bo13bo21b2o6bo8b2o
9b2o17bo8bo3bo$11bob2o9bo13bo16b2o2bo8bo2b2obo2bo9b2o10bo4b3o9bo2bob2o
$9b2o11b3o11b3o16bobobo6b3obobob2o24bo2bo10b3ob2obo$9bo16b2o30bo12bo2b
o23b3obobo14bobo$10bo15b2o11b2obo31bo10bo3bo13bo14bo2b2o$9b2o28b2ob3o
7bo3bo16b2obo9bobobo21bo2bo2b2obo$11b2obo10bob3o15bo7bobobo12bobo2bobo
6b3o2bo22b4o5bo$11bob2o10b2o3bo8b2ob3o6b3o2bo13b2o2bo2bo12b3o8b2o13b4o
b2o$9b2o4b2o11b2o10bobo14b3o15b2o15bo8b2o11b2o4bo$9bo5bo8bob2o12bobo
16bo54bo2b2obo$10bo5bo7b2obo13bo74b2obo$9b2o4b2o$11b2obo$11bob2o6$11bo
b2o$11b2obo$15b2o5bo24b2o9bo23b2o$16bo5b3o16bo5bo10b3o15bo5bo$15bo9bo
4bo11bob2obo3b2o8bo4bo10bob2obo$15b2o7b2o3bobo8b3o2bob2obobo7b2o3bobo
7b3o2bob2o$13b2o14bobo13bo2bobo14bobo12bo4bo$14bo13b2o2b2o12b2o2b2o12b
2ob2o12b2ob2o$13bo9bo3bo2bobo14bobo9bo3bo4bo13bobo$13b2o9bo2bob2obobo
7b2o3bobo10bo2bob2o10b2o3bobo$11b2o9b3ob2obo3b2o8bo4bo9b3ob2obo12bo4bo
$12bo16bo10b3o22bo9b3o$11bo17b2o9bo24b2o8bo$11b2o6$11b2obo8bo26b2o14bo
18bo$11bob2o9bo25bo8bo4b3o11bo4b3o$9b2o4b2o5b3o26bo8bo2bo15bo2bo$9bo5b
o10b2o22b2o6b3obobo12b3obobo$10bo5bo8bo2bo2b2o16bo13bo18bo$9b2o4b2o8bo
bo4bo2bo9b2o2b3o$11b2obo11bo5bobobo8b2o5bo14b2o5b2o$11bob2o14b2obo2bo
15b2o8b2o5bo5bo5b2o$15b2o12bo2bo28b2o2b3o7b3o2b2o$15bo10bo4bo11bo3bo
17bo11bo$16bo9b5o13bobobo17b2o7b2o$15b2o25b3o2bo19bo7bo$11b2obo13bo19b
3o15bo9bo$11bob2o12bobo20bo15b2o7b2o$28bo6$6b2o4b2obo98bo$7bo4bob2o47b
o16bo13bo20bo26b2o19b2o$6bo3b2o4b2o6bo17bo21bob2ob2o10bob2ob2o7bo6b2o
9b3o20bo5bo14bo5bo$6b2o2bo5bo8bob2ob2o11bo2b2ob2obo9b3o2bob2o8b3o2bob
2o5b3o6bobo12b2o18bob2obo3b2o10bob2obo$11bo5bo5b3o2bob2o9b3o3bobob2o5b
2o7bo16bo12b2o5bo11bo2bo2b2ob2o8b3o2bob2obobo8b3o2bob2o$6b2o2b2o4b2o
10bo18bo10bobo4bobo14bobo11bo2bo4bob2o8bobo4bob2o13bo2bobo15bo4bo$7bo
2bo5bo9bobo15b2obo12bo4b2o15b2o12bobo2b2obobo10bo5bo17b2o2b2o15b2ob2o$
6bo4bo5bo8b2o17bob2o11b2o35bo4bobobo13b2obo18bobo18bobo$6b2o2b2o4b2o
19b2o3b3o55bobob2o12bo2bob2o10bob2o3bobo11bob2o3bobo$10bo5bo20b2o2bo
18b2o3b2o15b2o16b2o12b2o2b3o12b3ob2o4bo10b3ob2o4bo$6b2o3bo5bo8b2o13bob
2o15bo4b2o11b2o2b2o13bo16bo17bo20bo$7bo2b2o4b2o8b2o14bo2bo12bobo16bobo
17b5o13b6o12b3ob2o15b3ob2o$6bo5b2obo28b2o12b2o17bo23bo18bo14bobo18bobo
$6b2o4bob2o60b2o19b2o18b3o15bobo18bobo$97b2o18bo18bo20bo6$66bo30b2o$
12b2o2b2o5bo6b2o15bo11bo4b3o10b2o18bobo$13bo3bo5b3o4bo9bo4b3o12bo2bo
13bobo13bo5bo$12bo3bo9bo4bo9bo2bo13b3obobo8bo5bo14bo4bob2o$12b2o2b2o7b
2o3b2o7b3obobo17bo10bo4bob2o9b3ob2obobo$44bo10bo16b3ob2obobo15bobobo$
12b2o2b2o12b2o17bo5b3o19bobobo6b2o7bo2bo$13bo3bo8b2o3bo15b3o8bo2b2o14b
o2bo7bobo4bobo$12bo3bo9b2o2bo11b2o2bo10bo3b2o12bobo12bo4b2o$12b2o2b2o
13b3o8b2o3bo9b2o16b2o13b2o$33bo12b2o$12b2o2b2o6bo3bo28b2o3b2o26b2o3b2o
$13bo3bo7bobobo11b2o3b2o9bo4bo12b2o13bo4b2o$12bo3bo6b3o2bo13bo4bo7bobo
5b3o9b2o11bobo$12b2o2b2o11b3o7b3o5bobo5b2o8bo22b2o$31bo7bo8b2o5$47bo$
8b2o2b2obo32bob2ob2o$9bo2bob2o30b3o2bob2o10b2o13bo$8bo7b2o16bo16bo13bo
bo13bob2ob2obo$8b2o6bo7bo7b3o14bobo9bo5bo11b3o2bobob2o$17bo7bo5bo17b2o
11bo4bob2o13bobo$8b2o6b2o5b3o2b2o2bo27b3ob2obobo15b2o$9bo2b2obo11bo2b
3o32bobobobo5b2o$8bo3bob2o10bobo4b2o14b2o14bobo2b2o5bo2bob2o$8b2o6b2o
8bobob2obo9bob2o2b2o9bo2bobobo11b2obo5b2ob2o$16bo7b3obobo2bo7b3ob2o13b
4ob2o13bobo6bobo$8b2o7bo5bo3bobo2bo7bo39bob3o3bo2bo$9bo6b2o5b2o2bo2b2o
9b3ob2o13b2o19bo3bo2bobo$8bo3b2obo10b2o15bobo14b2o20b3obobob2o118bo$8b
2o2bob2o27bobo38bob2o115bo4b3o$44bo159bo2bo$181bo20b3obobo$174bo4b3o
25bo$175bo2bo20bo$156bo16b3obobo19b3o$109bo39bo4b3o21bo23bo2b2o$109b3o
21bo16bo2bo47bo3b2o$6b2o2b2o4b2o32bo19bo30bo10bo21bob2ob2o7b3obobo16b
2o28b2o$7bo3bo5bo11b2o18bobo11bo4b3o23bo4b3o9bo2b2o16b3o2bob2o12bo16bo
2bo2b2o4b2o$6bo3bo5bo12bobo15bo2bo2bo10bo2bo27bo2bo8b2obob2obo2b2o17bo
20bo11bobo3b2o3bobo17b2o3b2obo$6b2o2b2o4b2o13bo15b2obob2o8b3obobo24b3o
bobo8bobo7bo16bobo18b3o10b2ob2o7bo19bo4b2ob3o$12bob2o8bo5b2ob2o15bo3b
2o11bo7bo11bo10bo9bo2bob2o4bo7b2o6b2o14b2o2bo24b2o20bo9bo$6b2o4b2obo9b
o5bo2bo12b2obob2o2bo17bobo9bobo20bobob2o3b2o7bobo21b2o3bo12b2ob2o3b2o
24bo2b2ob3o$7bo8b2o5b3o2b3o2bo9b2o2b2obo2bobo18bobo9bobo21bo18bo25b2o
13bobo4b2ob2o22bo2bobo$6bo10bo9bo3b2o10b2o6b2o2b2o8b2o6b2o2b2o5b2o2b2o
6b2o20b2o9b2o4b2o9b2o22bo3bo5bobo22b2o$6b2o8bo10b4o21bobo10b2o2b2obo2b
obo7bobo2bob2o2b2o16b2o3bo11bo3b2o9bobob2o3b2o14b4o2b2o3bo$16b2o12bo
21bobo14b2obob2o2bo5bo2b2obob2o20b2o2bo8b4obo15bob2o4bo21bobob2o$6b2o
19b2obobo8bo3bo7bo18bo3b2o7b2o3bo28b3o5bo2bob5o10bo7bo17b2o2bo2b2o2bo$
7bo20bo2b2o9bobobo22b2obob2o11b2obob2o27bo9bo4bo10bob2obo2b2o16b2o2b2o
4b2o$6bo9b2o8bobo11b3o2bo23bo2bo2bo11bo2bo2bo18bo3bo15b4o12bo2b2o$6b2o
8b2o8b2o18b3o22bobo15bobo21bobobo31bo$48bo23bo17bo20b3o2bo17b2o14b3o$
117b3o14b2o16bo$119bo4$153b2o$130bo22bobo$6b2o4bob2o48b2o20bo28bo15bob
2ob2o11bo5bo$7bo4b2obo8bo40bo2b2o9bo4b3o21bo4b3o13b3o2bob2o12bo4bob2o$
6bo3b2o13bo15bo3b2ob2o15bobobo10bo2bo25bo2bo21bo13b3ob2obobo$6b2o3bo
11b3o6b2o8bo3bob2o14b2obo10b3obobo6b2o7b2o5b3obobo18bobo18bobobo$10bo
16b2obo2bo6b3o3bo20bo15bo7bo9bo10bo19b2o19bo2bo$6b2o2b2o14bobob3o11b3o
17b2obobob2o19bo7bo20b2o2bo25bobo$7bo4bob2o10bobo14bo6b2o8b2o2b2obob2o
bo18b2o7b2o19bo2bobo16b2o6b2o$6bo5b2obo8b3ob2ob2o10b6o2bo8b2o6bo12b2o
6bo13bo6b2o10bobo2bo4b2o9bobo$6b2o8b2o5bo4bo3bo13bo2b2o19b2o9b2o2b2obo
b2obo5bob2obob2o2b2o9b2obo3bo3b2o11bo$17bo6b3obo3bobo8b2o3bo22bo13b2ob
obob2o5b2obobob2o17b3obo15b2o4b2o$6b2o8bo10bo5b2o9bobobo9bo3bo7bo17bo
15bo22bob5o13bo3b2o$7bo8b2o8bo15bobob2o11bobobo6b2o13b2obo15bob2o20bo
4bo9b4obo$6bo5bob2o10b2o14b2o13b3o2bo23bobobo11bobobo22b4o10bo2bob5o$
6b2o4b2obo47b3o20bo2b2o11b2o2bo40bo4bo$65bo19b2o19b2o23b2o16bo$131b2o
15b2o7$192b2o$34bob2o17bo34bo15b2o18bo30bo34bobo$6b2o4b2obo18b2obo10bo
4b3o27bo4b3o14bobo11bo4b3o23bo4b3o30bo5bo$7bo4bob2o14b2o17bo2bo31bo2bo
16bo2bob2o9bo2bo27bo2bo13b2o19bo4bob2o$6bo3b2o19bo2b3o3b2o5b3obobo28b
3obobo15bobobo2bo6b3obobo6b2o9b2o5b3obobo12bobo16b3ob2obobo$6b2o2bo20b
obobobobobo10bo10bo9bo13bo15b2obo3bobo10bo7bo11bo10bo9bo5bo21bobobo$
11bo18b2obo3bobo21b3o9b3o30bo2b2obo19bo9bo22bo4bob2o18bo2bo$6b2o2b2o
21bo2b2ob2o19bo15bo26b2obobo2bo19b2o9b2o19b3ob2obob2o16bobo$7bo4b2obo
14b2obobo2bo11b2o6bo2bo13bo2bo6b2o12b2o2b2obob3o10b2o6bo15bo6b2o14bobo
19b2o$6bo5bob2o10b2o2b2obob2obo11b2o2b2obob2obo11bob2obob2o2b2o12b2o6b
o13b2o2b2obob3o9b3obob2o2b2o14bobo12bo$6b2o2b2o4b2o8b2o6bo2bo16b2obobo
2bo11bo2bobob2o26b2o14b2obobo2bo7bo2bobob2o13bo2bobo2b2o6b2obobo$10bo
5bo19bo20bo2b2ob2o7b2ob2o2bo30bo17bo2b2obo5bob2o2bo16b4o2bobo8bobo2bo
4b2o$6b2o3bo5bo19b3o14b2obo3bobo9bobo3bob2o14bo3bo7bo15b2obo3bobo5bobo
3bob2o17bobobo7bo2bo3bo3b2o$7bo2b2o4b2o6bo3bo10bo15bobobobobobo5bobobo
bobobo16bobobo6b2o15bobobo2bo7bo2bobobo16bobob2o8b2o2b3obo$6bo5b2obo9b
obobo25bo2b3o3b2o5b2o3b3o2bo14b3o2bo24bo2bob2o9b2obo2bo16b2o18bob5o$6b
2o4bob2o7b3o2bo25b2o25b2o19b3o22bobo15bobo38bo4bo$29b3o26b2obo13bob2o
25bo23b2o15b2o41bo$31bo26bob2o13b2obo108b2o7$28bobo28bo30bo18b2o23bo
28bo$27bob2o21bo4b3o23bo4b3o13bobo2b2o16bo4b3o21bo4b3o15bo28bo13b2o$
27bo3b2o20bo2bo27bo2bo15bob2o21bo2bo25bo2bo11bo4b3o21bo4b3o14bo$8b2o2b
ob2o9b2ob2o3bo17b3obobo24b3obobo14bo3b4o15b3obobo6b2o7b2o5b3obobo11bo
2bo25bo2bo12bo2bo$9bo2b2obo10bobob3o23bo7bo11bo10bo13b2ob2o5bo19bo7bo
9bo10bo10b3obobo4b2o11b2o3b3obobo11b5o$8bo7b2o6bo5bo32bobo9bobo24bobob
5o29bo7bo27bo4bobo11bobo7bo$8b2o7bo5bob5o6bo26bobo9bobo22bo5bo32b2o7b
2o31bo15bo22bo$16bo7bo10bobo16b2o6b2o2b2o5b2o2b2o6b2o12bob5o3b2o18b2o
6bo13bo6b2o20b2o15b2o20bobo3b2o$8b2o6b2o8bob2o3bo2bo2bo14b2o2b2obo2bob
o7bobo2bob2o2b2o13bo9bo2b2o14b2o2b2obob2obo5bob2obob2o2b2o14b2o6b2o11b
2o6b2o14b2o5bo$9bo4b2o9b2ob2o3b2obob2o18b2obob2o2bo5bo2b2obob2o19bob2o
4bobobo18b2obobob2o5b2obobob2o18b2o2b4o2bo9bo2b4o2b2o19bobob2o$8bo6bo
20bo3b2o19bo3b2o7b2o3bo21b2ob2o3b2obo23bo15bo25bo4bo2bo5bo2bo4bo21b3ob
obo$8b2o4bo18b2obob2o2bo7b2ob2o3b2obob2o11b2obob2o3b2ob2o21bo12b2ob2o
3b2obo15bob2o3b2ob2o15b3obob2o5b2obob3o21bo4bobo$14b2o13b2o2b2obo2bobo
9bob2o3bo2bo2bo11bo2bo2bo3b2obo19b2obobob2o8bob2o4bobobo11bobobo4b2obo
18bobo11bobo19b2o2b4o2bo$8b2o2b2o15b2o6b2o2b2o6bo10bobo15bobo10bo13b2o
2b2obob2obo6bo9bo2b2o11b2o2bo9bo11b2o5bob2o5b2obo5b2o14b2o6b2o$9bo3bo
24bobo7bob5o6bo17bo6b5obo12b2o6bo9bob5o3b2o19b2o3b5obo10bobo3b2ob2o5b
2ob2o3bobo20b2o$8bo3bo25bobo8bo5bo29bo5bo23b2o7bo5bo27bo5bo12bo23bo22b
o$8b2o2b2o13bo3bo7bo11bobob3o25b3obobo26bo9bobob5o19b5obobo52bo3bo4bob
o$28bobobo17b2ob2o3bo23bo3b2ob2o12bo3bo7bo9b2ob2o5bo17bo5b2ob2o11b5o
19b5o12bobobo4b2o$26b3o2bo20bo3b2o25b2o3bo15bobobo6b2o10bo3b4o19b4o3bo
13bo2bo21bo2bo10b3o2bo$32b3o17bob2o29b2obo13b3o2bo19bob2o27b2obo18bo
17bo21b3o$34bo18bobo29bobo20b3o17bobo2b2o19b2o2bobo18b2o17b2o22bo$110b
o22b2o19b2o8$29b2o29bo30bo8b2o2b2o27bo28bo$23bo5bo2b2obo17bo4b3o23bo4b
3o9bo2bo2b2obo15bo4b3o21bo4b3o$23b3o4bobob2o18bo2bo27bo2bo11bo4bobob2o
16bo2bo25bo2bo$6b2o4b2obo10bo2b2o21b3obobo24b3obobo10b2o2b2o19b3obobo
6b2o7b2o5b3obobo$7bo4bob2o9bo5bo25bo7bo11bo10bo17bo23bo7bo9bo10bo$6bo
3b2o4b2o6bob5o6bo26bobo9bobo21b6o3b2o28bo7bo$6b2o2bo5bo7bo11bobo25bobo
9bobo20bo10bo2b2o23b2o7b2o$11bo5bo7b3ob2o3bo2bo2bo14b2o6b2o2b2o5b2o2b
2o6b2o12b3ob2o4bobobo13b2o6bo13bo6b2o$6b2o2b2o4b2o9bob2o3b2obob2o14b2o
2b2obo2bobo7bobo2bob2o2b2o14bob2o3b2obo15b2o2b2obob2obo5bob2obob2o2b2o
$7bo4b2obo21bo3b2o16b2obob2o2bo5bo2b2obob2o28bo19b2obobob2o5b2obobob2o
$6bo5bob2o18b2obob2o2bo18bo3b2o7b2o3bo28b2obobob2o17bo15bo$6b2o2b2o4b
2o12b2o2b2obo2bobo6bo2bob2o3b2obob2o11b2obob2o3b2obo2bo11b2o2b2obob2ob
o7bob2o3b2obo15bob2o3b2obo$10bo5bo13b2o6b2o2b2o5b4ob2o3bo2bo2bo11bo2bo
2bo3b2ob4o11b2o6bo9b3ob2o4bobobo11bobobo4b2ob3o$6b2o3bo5bo21bobo19bobo
15bobo33b2o5bo10bo2b2o11b2o2bo10bo$7bo2b2o4b2o21bobo9b5o6bo17bo6b5o24b
o6b6o3b2o19b2o3b6o$6bo5b2obo12bo3bo7bo9bo5bo29bo5bo10bo3bo7bo13bo27bo$
6b2o4bob2o13bobobo16b2o2b2o31b2o2b2o11bobobo6b2o6b2o2b2o29b2o2b2o$27b
3o2bo22bobob2o21b2obobo14b3o2bo15bo4bobob2o19b2obobo4bo$33b3o18bo2b2ob
o21bob2o2bo19b3o13bo2bo2b2obo19bob2o2bo2bo$35bo18b2o31b2o21bo12b2o2b2o
29b2o2b2o9$26b2o35bo30bo95bo28bo$26bo2bo26bo4b3o23bo4b3o13b2o32bo30bo
9bo4b3o21bo4b3o6b2o$27b3o4b2o21bo2bo27bo2bo15bo2bo24bo4b3o23bo4b3o10bo
2bo25bo2bo8bo2bo2b2o$30b2o2bo20b3obobo24b3obobo13bob2obob2obo19bo2bo
27bo2bo11b3obobo4b2o11b2o3b3obobo8b2o2bobo$23b2o2b3o2bobo25bo7bo11bo
10bo14bo2bobobob2o17b3obobo24b3obobo15bo4bobo11bobo7bo11b2o$6b2o4b2obo
7bo2bo2bobobo33bobo9bobo25bo2b2o27bo7bo11bo10bo21bo15bo19bo$7bo4bob2o
8bob2o2b2o35bobo9bobo22b3o5bo33bobo9bobo30b2o15b2o15b2obo2bo$6bo3b2o4b
2o5b2obo5bo25b2o6b2o2b2o5b2o2b2o6b2o13bo2b5o6bo27bobo9bobo24b2o6b2o11b
2o6b2o9bo2bobobo3b2o$6b2o2bo5bo10b5o6bo19b2o2b2obo2bobo7bobo2bob2o2b2o
14bo11bobo17b2o6b2o2b2o5b2o2b2o6b2o15b2o2b4o2bo9bo2b4o2b2o11b2ob2o5bo$
11bo5bo19bobo22b2obob2o2bo5bo2b2obob2o19b3ob2o3bo2bo2bo15b2o2b2obo2bob
o7bobo2bob2o2b2o19bo4bobo7bobo4bo23bobob2o$6b2o2b2o4b2o7b4ob2o3bo2bo2b
o23bo3b2o7b2o3bo24bob2o3b2obob2o19b2obob2o2bo5bo2b2obob2o24b3obobo7bob
ob3o22b3obobo$7bo4b2obo9bo2bob2o3b2obob2o10bo2bob2o3b2obob2o11b2obob2o
3b2obo2bo21bo3b2o20bo3b2o7b2o3bo29bobob2o5b2obobo23bo4bobo$6bo5bob2o
22bo3b2o8b4ob2o3bo2bo2bo11bo2bo2bo3b2ob4o18b2obob2o2bo9bob2o3b2obob2o
11b2obob2o3b2obo11b2ob2o5bo11bo5b2ob2o11b2o2b4o2bo$6b2o8b2o17b2obob2o
2bo19bobo15bobo26b2o2b2obo2bobo8b3ob2o3bo2bo2bo11bo2bo2bo3b2ob3o7bo2bo
bobo3b2o11b2o3bobobo2bo9b2o6b2o$16bo14b2o2b2obo2bobo10b5o6bo17bo6b5o
16b2o6b2o2b2o6bo11bobo15bobo11bo6b2obo2bo23bo2bob2o15b2o$6b2o9bo13b2o
6b2o2b2o5b2obo5bo29bo5bob2o21bobo7bo2b5o6bo17bo6b5o2bo8bo29bo19bo$7bo
8b2o22bobo8bob2o2b2o31b2o2b2obo22bobo7b3o5bo29bo5b3o8b2o27b2o10bo3bo4b
obo$6bo5b2obo24bobo7bo2bo2bobobo27bobobo2bo2bo10bo3bo7bo11bo2b2o31b2o
2bo9b2o2bobo21bobo2b2o9bobobo4b2o$6b2o4bob2o13bo3bo7bo8b2o2b3o2bobo25b
obo2b3o2b2o11bobobo17bo2bobobob2o21b2obobobo2bo7bo2bo2b2o21b2o2bo2bo6b
3o2bo$30bobobo22b2o2bo25bo2b2o16b3o2bo18bob2obob2obo21bob2obob2obo8b2o
31b2o13b3o$28b3o2bo20b3o4b2o23b2o4b3o19b3o16bo2bo33bo2bo59bo$34b3o16bo
2bo35bo2bo20bo17b2o35b2o$36bo16b2o39b2o6$71b2o17b2o$2b2obo6b2obo16b2o
17b2o17bo2bo15bo2bo$2bob2o6bob2o9bo5bobo10bo5bobo10bo5bo2bobo7bo5bo2bo
bo$6b2o2b2o4b2o8bo4bo13bo4bo13bo4bob2o2bo7bo4bob2o2bo$6bo3bo5bo7b3o2b
3o11b3o2b3o11b3o2b3o3b2o6b3o2b3o3b2o$7bo3bo5bo10bo3b2o13bo3b2o13bo3b3o
12bo3b3o$6b2o2b2o4b2o10b4o2bo12b4o2bo12b4o2bo12b4o2bo$2b2obo4bo5bo15b
3o16b3o16b2o17b2o$2bob2o5bo5bo10b4o15b4o15b4o2b3o10b4o2b3o$2o8b2o4b2o
10bo3b5o5b2o3bo3b5o10bo3b2o2bo5b2o3bo3b2o2bo$o9bo5bo6b2obobob2o4bo5bo
2bobob2o4bo5b2obobob2o2b2o6bo2bobob2o2b2o$bo9bo5bo5bob2obobo2bo9b3obob
o2bo8bob2obobo2bo9b3obobo2bo$2o8b2o4b2o9bo4b2o14bo2b2o12bo4b2o14bo2b2o
$2b2obo6b2obo11bob3o13b3o17bob3o13b3o$2bob2o6bob2o12bo2bo13bo20bo2bo
13bo$29b2o36b2o7$26bo$27bob2ob2obo$2b2obo6bob2o9b3o2bobob2o$2bob2o6b2o
bo14bobo$6b2o2b2o19b2o$6bo4bo11b2o$7bo2bo12bo2bob2o$6b2o2b2o13b2obo$2b
2obo6bob2o10bobo5b2obo$2bob2o6b2obo9bo2b3o3bob2o$2o14b2o8b2o3bo$o16bo
10b4o$bo14bo11bo$2o14b2o8bobob2o$2b2obo6bob2o10b2o2bo$2bob2o6b2obo14bo
bo$31b2o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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