ConwayLife.com

Posted: **March 13th, 2024, 7:17 pm**

I've noticed that comments in the pattern files seem to use three different formats for paragraphs:

1. Blank line before each paragraph:

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#C 
#C This is a paragraph.
#C This is the next line in this paragraph.
#C This is the last line in this paragraph.
#C 
#C This is another paragraph.
#C This is the next line in this paragraph.
#C This is the last line in this paragraph.

2. Indentation on the 1st line of a paragraph:

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#C    This is a paragraph.
#C This is the next line in this paragraph.
#C This is the last line in this paragraph.
#C    This is another paragraph.
#C This is the next line in this paragraph.
#C This is the last line in this paragraph.

3. Indentation on all lines of a paragraph except the 1st:

Code: Select all

#C This is a paragraph.
#C   This is the next line in this paragraph.
#C   This is the last line in this paragraph.
#C This is another paragraph.
#C   This is the next line in this paragraph.
#C   This is the last line in this paragraph.

We seem to be moving to #3 as the preferred format. In my eyes it's the ugliest of the 3 formats. Is there some reason for that weird indentation? Format #1 would be my preference (easiest to read, and to write).

Posted: **March 14th, 2024, 1:51 pm**

Andrew wrote: March 13th, 2024, 7:17 pm I've noticed that comments in the pattern files seem to use three different formats for paragraphs:

1. Blank line before each paragraph...
2. Indentation on the 1st line of a paragraph...
3. Indentation on all lines of a paragraph except the 1st...

We seem to be moving to #3 as the preferred format. In my eyes it's the ugliest of the 3 formats. Is there some reason for that weird indentation? Format #1 would be my preference (easiest to read, and to write).

Well... there's definitely a reason. It just might not be a _good_ reason.

The reason is simply that I do pretty much all of the checkins for Golly's pattern collection, and for a while now I've been putting everything in format #3, with hanging-indent paragraphs. Definitely this is just a personal preference on my part, and not a particularly strong personal preference.

Mostly I think that hanging indents solved a problem I was having with deciding whether to include blank lines in comments. Recent comments almost always have a "Reference" section at the end with a link to a relevant location on the forums, and/or to a LifeWiki page. If "Reference:" goes on the same line as a forums URL, then the line is a little bit longer than all the other comment lines. So I've been moving the URL to its own line.

Then I can never decide whether blank #C lines are needed before and after that "Reference" section. For the paragraph format separated by blank #C lines, seems cleanest to include them, like in this re-work of muzik's latest pattern:

Code: Select all

#N noninteger-replication-order.rle
#O wwei23, 23 October 2019
#C
#C This anomalous fractal does not appear to contain an integer
#C count of sub-units at any scale, unlike the other fractals we've
#C seen so far.
#C
#C Reference:
#C https://conwaylife.com/forums/viewtopic.php?p=84439#p84439
#C
x = 29, y = 24, rule = B2e3aiky4jnqtwz5cjqry6aei/S1c2-k3ajry4cjkrt5-eqr6i
7b3o9b3o$8bo11bo$8bo11bo$7b3o9b3o$12bo3bo$11bobobobo$11bobobobo$12bo3b
o7$8bo11bo$7b3o9b3o$7bobo9bobo2$12bo3bo3$b2o23b2o$o2bo21bo2bo$b2o8b2o
3b2o8b2o!

So I probably chose hanging indents just because I could safely get rid of all of the empty-and-yet-not-empty #C lines. More actual comments will fit in the pop-up window in Golly without any scrolling, and yet it's still clear where each new paragraph starts.

So -- long story short, it's an arbitrary decision on my part, and I don't really care what the standard is, only that there _is_ a clear standard. If it's important enough to enough people that comment formatting should be done in some different way, then I don't mind switching to format #1 for future check-ins.

Are there more people that dislike the hanging-indent standard, enough to say so here? Or, even better, is there anyone who dislikes the hanging-indent so much that they're willing to go through the whole pattern collection and change the comments so they're in some other consistent format?

Posted: **March 14th, 2024, 2:26 pm**

dvgrn wrote: March 14th, 2024, 1:51 pm Are there more people that dislike the hanging-indent standard, enough to say so here? Or, even better, is there anyone who dislikes the hanging-indent so much that they're willing to go through the whole pattern collection and change the comments so they're in some other consistent format?

I could try this once an actual beta version is released.

Posted: **March 14th, 2024, 3:48 pm**

dvgrn wrote: March 14th, 2024, 1:51 pm Or, even better, is there anyone who dislikes the hanging-indent so much that they're willing to go through the whole pattern collection and change the comments so they're in some other consistent format?

I'm happy to do that for the 4.3b1 release. (Not sure if you've seen my latest emails -- have you finished pushing all your commits?)

Posted: **March 18th, 2024, 6:23 am**

Code: Select all

#N 2c1042-self-constructing-spaceship.rle
#O b-engine, 4 March
#C This is the first self-constructing spaceship in B-Univ, demonstrating the capabilities of universal construction in the rule.
#C Before the spaceship is engineered the only other known spaceships in B-Univ are photons made of state 3 cells.
#C The top speed of the spaceship is 2c/1042.
#C Reference: https://conwaylife.com/forums/viewtopic.php?f=11&t=6375#p179743
x = 521, y = 15, rule = B-Univ
AGCAGCAGCADCAGCAGCAGCAGCAGCAGCAGCAGCADCAGCADCAFCAFCAFCAGCADCAGCADCAFC
AGCAGCADCAFCAFCAFCAFCAGCAGCAGCAGCADCAGCADCAFCAGCAGCADCAFCAFCAFCAFCAGC
ADCAGCAGCAGCABCADCAFCAFCAFCAFCAGCAGCAGCAGCAGCADCAGCADCAFCAFCAFCAGCADC
AGCADCAFCAGCAGCADCAFCAFCAFCAFCAGCAGCAGCAGCADCAGCADCAFCAGCAGCADCAFCAFC
AFCAFCAGCADCAGCAGCAGCABCADCAFCAFCAFCAFCAGCAGCADCAGCAGCABCADCAFCAFCAFC
AFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFCAFC124A$.A517.A$.519A
2$.346ACFACFACFACFACFACFACFACFACFACFACFACFACDACBACGACBACGACFACFACFACF
ACFACFACBACDACFACBACDACGACGACGACBACGACGACGACGACGACFACFACFACBACDACFACB
ACDACGACGACGACBACGACGACGACGACBACGACGACGACGA$.A517.A$.519A2$519A$A517.
A$CFACFACFACFACFACFACFACFACFACFACFACFACDACBACGACDACGACFACFACFACFACFAC
FACBACDACFACBACDACGACGACGACDACGACGACGACGACGACFACFACFACBACDACFACBACDAC
GACGACGACDACGACGACGACGACDACGACGACGACG346A2$519A$A517.A$CFACFACFACFACF
ACFACFACFACFACFACFACFACFACFACFACFACFACFACFACFACDACBACGACGACBACGACGACF
ACFACFACFACDACBACGACGACGACBACGACFACFACFACFACDACGACGACFACDACGACBACGACG
ACGACGACFACFACFACFACDACGACGACFACDACGACBACGACFACFACFACDACGACBACGACGACG
ACGACGACFACFACFACFACDACBACGACGACGACBACGACFACFACFACFACDACGACGACFACDACG
ACBACGACGACGACGACFACFACFACFACDACGACGACFACDACGACBACGACFACFACFACDACGACB
ACGACGACGACGACGACGACGACGACBACGACGACG124A!

Posted: **March 21st, 2024, 6:28 pm**

Replying to some earlier posts.

(See also my suggestion to merge the new pattern b3578s23-failed-2d-replicator.rle into pattern comments of b3578s23-2d-replicator.rle and expand pattern comments to mention both "almost-replicators" there. I don't believe the "almost-replicators" are sufficiently notable by themselves to warrant inclusion as separate patterns. They still can go into pattern comments for the working replicator in the same rule, in the same way how there is just one page "Replicators: B3578/S23" mentioning all of them.)

muzik wrote: March 13th, 2024, 10:54 am Would it make sense to include a Replicators folder in Life-Like as well? The presence of b3578s23-2d-replicator.rle, b3578s23-failed-2d-replicator.rle, replicator.rle, sqrt-replicator.rle and triangular-rule-150-replicator.rle might be enough to secure such a spot, especially since four out of five of those are completely new pattern files for 4.3.
[...]
Also, with this folder, we may as well go all in with the 2D parity rules: [...]

One of mentioned patterns is in a triangular rule, and several other patterns suggested down in the post (i.e. von Neumann neighbourhood, hexagonal neighbourhood, tripod neighbourhood) are also in rules that aren't Life-like cellular automata. Hence such a folder should not go into "Life-Like".

Is the idea to have just one subfolder named "Replicators" for all notable replicators in various CA rules? If so, then I think it should go to "Other-Rules" instead.

For the same reason, the new pattern "von-neumann-merge.rle" does not belong in "Life-Like" folder (the rule B2/S23V uses von Neumann neighbourhood). I suggest to move that pattern into the "Other-Rules" folder (which already contains patterns working in rules with von Neumann neighbourhood).

muzik wrote: March 13th, 2024, 4:52 pmOn the topic of creating new directories: Larger-than-Life might benefit from a spaceships folder, [...]

confocaloid wrote: March 13th, 2024, 7:07 pm o After moving the bugs into a subfolder, how many patterns remain in "Larger-Than-Life" (and not a subfolder)? Moving most patterns into a nested subfolder does not seem to be an improvement over leaving them all in a single folder.
o I think related patterns "BugCollection.rle", "GunCollection.rle", "BugReactions.rle", "BugGun.rle" should all remain in the same folder.

A different possibility is to group patterns by the CA rule, rather than by the pattern type. I think grouping by the rule is preferable.
For example, the several related patterns in Bosco's Rule would remain all in a single folder, making it easy to explore that rule (without having to constantly switch back and forth between different subfolders).

Posted: **March 30th, 2024, 3:59 am**

confocaloid wrote: March 21st, 2024, 6:28 pm <snip>
One of mentioned patterns is in a triangular rule, and several other patterns suggested down in the post (i.e. von Neumann neighbourhood, hexagonal neighbourhood, tripod neighbourhood) are also in rules that aren't Life-like cellular automata. Hence such a folder should not go into "Life-Like".

Is the idea to have just one subfolder named "Replicators" for all notable replicators in various CA rules? If so, then I think it should go to "Other-Rules" instead.

For the same reason, the new pattern "von-neumann-merge.rle" does not belong in "Life-Like" folder (the rule B2/S23V uses von Neumann neighbourhood). I suggest to move that pattern into the "Other-Rules" folder (which already contains patterns working in rules with von Neumann neighbourhood).
<snip>

I have a suggestion: Create a new "Other-Neighbourhoods" folder for Life-like and non-totalistic range-1 rules in the hexagonal, von Neumann and tripod neighborhoods. This should also ideally come with support for non-totalistic hexagonal and von Neumann rules, and a collection of patterns from such rules.

Posted: **March 30th, 2024, 4:25 am**

erictom333 wrote: March 30th, 2024, 3:59 am[...]
I have a suggestion: Create a new "Other-Neighbourhoods" folder for Life-like and non-totalistic range-1 rules in the hexagonal, von Neumann and tripod neighborhoods. This should also ideally come with support for non-totalistic hexagonal and von Neumann rules, and a collection of patterns from such rules.

Currently:

there is already a dedicated folder "Patterns/Life-Like" for patterns in Life-like cellular automata. (Two cellstates, square grid, range 1 Moore neighbourhood, outer-totalistic rules.)
there is also already a folder "Patterns/Non-Totalistic", mostly containing patterns in two-state isotropic CA on the square grid with range-1 Moore neighbourhood.
there is also a folder "Patterns/Larger-than-Life".

Maybe "Other-Neighbourhoods" would cover any other neighbourhoods (specifically excluding two-state range-1 Moore neighbourhood, which is already covered by "Life-Like" and "Non-Totalistic", and also excluding LtL)?
Or maybe it would cover any other notated neighbourhoods (i.e. with support for a dedicated rulestring notation)?

Where this folder should go, then? A natural place seems to be "Patterns/Other-Rules". The new pattern "von-neumann-merge.rle" would also go in that subfolder (or directly into "Patterns/Other-Rules").

Posted: **April 29th, 2024, 6:53 am**

confocaloid wrote: March 30th, 2024, 4:25 am
erictom333 wrote: March 30th, 2024, 3:59 am[...]
I have a suggestion: Create a new "Other-Neighbourhoods" folder for Life-like and non-totalistic range-1 rules in the hexagonal, von Neumann and tripod neighborhoods. This should also ideally come with support for non-totalistic hexagonal and von Neumann rules, and a collection of patterns from such rules.
Currently:

there is already a dedicated folder "Patterns/Life-Like" for patterns in Life-like cellular automata. (Two cellstates, square grid, range 1 Moore neighbourhood, outer-totalistic rules.)

there is also already a folder "Patterns/Non-Totalistic", mostly containing patterns in two-state isotropic CA on the square grid with range-1 Moore neighbourhood.

there is also a folder "Patterns/Larger-than-Life".

Maybe "Other-Neighbourhoods" would cover any other neighbourhoods (specifically excluding two-state range-1 Moore neighbourhood, which is already covered by "Life-Like" and "Non-Totalistic", and also excluding LtL)?
Or maybe it would cover any other notated neighbourhoods (i.e. with support for a dedicated rulestring notation)?

Specifically any range-1 neighborhoods other than square, such asvon Neumann, hexagonal, and triangular, and possibly also rulesin custom neighborhoods.

Where this folder should go, then? A natural place seems to be "Patterns/Other-Rules". The new pattern "von-neumann-merge.rle" would also go in that subfolder (or directly into "Patterns/Other-Rules").

As a top-level folder.

Posted: **May 19th, 2024, 11:08 am**

I somehow feel that this must make it into Golly (mods may update the collection when new speeds are found):

Code: Select all

#N speciation-spaceship-speeds.rle
#O "NimbleRogue", 11 May 2024
#C This isotropic non-totalistic rule has 61 NRSS (Nonadjustable Reduced Speeds of Ships),
#C making it the current record holder for the most number of NRSS in the
#C isotropic non-totalistic rulespace.
#C
#C Orthogonal:
#C c/2o, 2c/5o, c/3o, 2c/7o, c/4o, c/5o, c/6o, c/7o, c/8o,
#C 16c/402o, 23c/608o, 4c/107o, 3c/86o, 6c/172o, 7c/206o, 3c/95o, 4c/128o, 8c/257o,
#C 9c/290o, c/33o, 4c/137o, 3c/104o, c/35o, 46c/1622o, 7c/255o, 4c/150o,  5c/188o,
#C 3c/113o, 4c/155o, 3c/117o, 5c/201o, 6c/234o, 2c/84o, 4c/168o, 8c/336o, 5c/219o,
#C 3c/135o, 6c/270o, 35c/1582o, 4c/186o, 8c/372o, 5c/237o, c/51o, 2c/102o, 3c/153o,
#C 4c/204o, 6c/306o, 14c/748o, 7c/375o, 2c/222o, 3c/171o, 2c/120o, c/69o, 2c/138o,
#C  8c/610o, 9c/735o, 11c/946o, c/87o, c/105o, 8c/945o, 18c/2174o, c/158o, c/176o, c/475o,
#C 58c/1714o, 68c/3403o
#C
#C Diagonal:
#C c/3d, c/4d, c/5d, c/6d
#C
#C Reference:
#C   https://conwaylife.com/forums/viewtopic.php?f=11&t=6492
x = 4371, y = 590, rule = B2cei3-eijr4ceirtw5ciqy6-e7c/S1c2-c3-aiqy4ikntw5nqr6-a
15$37bob2ob3o$38bob2ob2o$37b2ob2o2b3o$36b2ob2ob2ob2o$33bob3o2bobo$34b
2o4bo2bo$33bo4bo3bobo$33bo2b2obo3b2obo3bo$31b2ob3o2bobo6b2ob2ob2o$30b
3obobobo2bo2bobo4bo2b2o$31b4o3b3o6b2o2bo$30b2ob2ob4o3bobobobobobo3bo$
31bob2ob2obo2bo2bo2b2obobo2b3o$31b2o6b3ob2ob4o3b2o3bo$25bobo2b3o2b2o4b
3o5bo5b2ob2o$24b7o2bo3b2obo5b2ob3o3bo4bo$24b3o2b2o2b2o2bob2o10bob2o2b
2obo$20bob2o2b3o2b2o2bo2bobo11bo2b3ob3obo$21bo2b5o3bo2bo19b3obo$20b2o
2bo5bo2b4o2bo2bo3bo7b3o3bo2bobo$19b2o2b3ob2obo4bob4ob2o2b3obo2bob2o4bo
bo$16bob3o2bo3b2o2b2o3bob3ob3ob2obo2b2obo5b6o$17b2o3bo2b3o3bobo2b6o2bo
4b6o2bo2bob2ob2o$16bo2bo3b2ob4o2bo2b4o2bo3bobo3bob2o2bo3bobo4b2o$16b6o
4bo2bob3o2b3o2bo8b4o2b4o4b2obo$17b2o5b2o3b2o7b5obo2bobob4obo3bo4bob2ob
o$16bo2b2obo5bobo4b3o3b2o2bo3b2obobo2bo2bobo2bo2bob2o$16b2obobobo3bob
2o5b2o8b3ob2ob3obobob2o3bo2b2o$16b3o3b2obo3bo7b2o2bo3b2obobo2bo2b2ob2o
4b2ob4o$18b2o7b2o10bo2bobo3bo4b3ob2obobo3b3o2b2o$18b2o3bobo3bobo3b3o5b
2o2bobo3bob2ob3o2b2obo2bob2ob3o$26b2obobo4b2obobobo2bo8bo3b3o2b4obo2b
3o2b2o$24bobob2o6bo6b3o2b2obo4b2o3bobo2b5ob4ob2o$24bo2b5o5b2o2b2o3bob
2obo9b2o4b2obobo2b4o$23bo7bo4bobobob3o5b2o13b4obob5obo$24b5o2b2o5b4obo
4b5obo7bo2bo2b3ob2obo2b3o$24bo8bo3b2ob3o8b6obo3bob2o3b9o$27b3o2bo3b6ob
4o5b2obo2b2ob3o6bob2o3b2obo$24b2o3bo2bo2bo2b2ob3obo5b2o2bo2b2obo2bo2b
2o9bo$24b2o4b2ob5o5bob3o4b5o3b2o2b2ob2o2bo$28bobo2b4o3b2o2bobobo3bo2b
2obo2bob3obobobobo8bo$27b2o3b3o3b3ob4o2bo8b2ob2o3b2o4bo6bo2bobo$28b3ob
o7bo4b2o5b3ob2ob2o5b5o2bob5o3bo$30bo2b2o5bo2b2ob2o5b2o3bo2bo3bo2bo2b2o
3b2ob2o3bo$31b3obo2bo2b2ob4o7bob2o4b4ob2ob3o2b2ob2o3b3o$33bo2b2obo3bo
3b3o3b5obo4bobo2b2ob2o2b2ob2o$37b2o3b2obo3bob3o10b3o2b3o3bobo7b3o$33bo
b5o6bobo4bo2bo3bo3bo6b3obo2bo9bo$37bo2bo5b2o4bob3o3b5o3bo2b3obobo6bo3b
o$35bob2ob3obo2bo2b3o2b3ob2obo6bo3bob3o4bobo2bo$37b2o4b6obo6b2ob3o8bo
2b5o2b3obob2o$40b2o3bob4o3b3obo13b2o2b3ob2o2b2o2bobo$39bob2ob2o2b4o2b
2o2b3o3bo6b2o3b2o3bo4bo4b2ob3o$39bo3b2ob3o2b2o3bobob3o2bo8b4ob4o3bo2bo
bo3b2o2bo$41b4o3b6o4bo2b2o9bobo2b6obob3o3b3obob4o$42bob3o5bo2b3ob2ob3o
bobo2bob2o3b4obob2obo3bo4b5o$45b9o5b3ob2o2b2obobobo5bo3b2o7bob2o3bo$
47b2ob4o2bobob2ob3obo3bobobob3ob3o3b2o5b2ob2obobo$46b3obobo13bo2b4ob6o
2bo3b2o2b3o6bobo$46bob5o5bo3b5o2bo3b3ob3obo2bobobo8bobo$46bo2b2obo5b4o
3b5o4bob2o2b5o2b2o7bob2o$47b3o2b2o4b5ob7o2b4o3bob4ob2ob3o4bo2bo$47b5ob
2o2b2o4bo2b2o2b2ob3o2bobob2o2bobobobob2o2bob3o$51bo6b4o7b3ob3o3bob6ob
4obo2b3o9bo$51bobo5b3o5bob4o3b3o2bobo2b2ob3o7b2o2b2o2b3o$57bo8b6obob2o
2b3o3b2o4bo7b3o3bo3bo$56bo8b2o2b2o2b2ob4o4bo4bobo9b2o2b3o2bobo$57b2o7b
o4bobo2b5o3bo3b2ob2o8b2ob2o4b2ob2o$59b2o3b2obo2bobo2b3obo2b3o2b3ob2o
10b3o6b2o$60bobo3b2o3b2o4bobobo8bob2o3bo5bo9bo$60bobo5b4o2b2o2b4o9b2o
4bo4b3o2bo6bo$62bo2b2o3bo2b2ob2o2bo3bo5bobob3ob4ob3obo4b2obo$63b2ob2o
2b2obob5o3b2o6b2obo3bob4obobobo2b2o2b2o$69bo9b2ob3o7b3o5b2ob2ob2o2b3ob
o$67bo6bo2b4o4bobo3bobo5bobo2bobo2b2obo3bo$68b2o4bo2bob6obobob7o3b2o4b
2o5b2o2bo$68bob2o2bo2b2o4b7ob2o8bo8b4obo$70bobo6bo5bo3b3ob2o2b4o5bo4bo
3b3o$68bobo2bo4bo8b3obob3o2b2obo3b2o4bo2b4o$68b2o2b2o4bo8bo3bo2bo2bobo
4b2o6b3o7bo$68b3obo3bo2bo7bo3bo5b2o2bo2b2o2b2o4bob2o2bobo$71bobobobobo
5b2o6bob3o3bo2b3obo7b4o2bo$70b2obo2bob2o7b2o4b2obo9b3o8b2o3bobo$69b3o
2b3o3b2o5bo2bo2b3o7b5obo7b4obo$70b4o3b2ob2o5b3obobo14b4o8bo$70b2o2bo3b
o2b3o3b6obob2o5b2o3b2o13bob3o$73bo4bo3b2o2bobo18b3o13bo2b2o$80bo3b6o9b
obo23b2o$80bo2b2ob2ob2o4b3obobo24bob2o$81b4o2b2o5b4obo25b2ob2o$82bo6b
3ob2o2b3o25b3ob3o$80bobo3b4obo6b2o2bo28b4o$79b2o15b3ob3o23bo5b3o4bo$
80b2o6bobo5bo2b4o27b2obobobobo$82b2o5b2obo7bo29bo2bob3o$83bo5bo2b3o5bo
30bo2bob3o$82bobo2b4obo2bo37bobo$83b3ob2o2b2o2bo36bo3bob2o$83bo2bo2bob
o2b3o37bo3bo$87bo4b3o43bo$88bobo2b2ob2o$88bo2bob2ob4o$97b3o$97bobo$96b
o2b2o2$95b5o$101b2o$98bo$101bobob2o$101b6obo200bobobobo$101b2o3bo203bo
bobo$104b2o205bobo$104b3o205bo$106bo2b2o200bobo$106b2obobo$107b2o4bo$
107b4obo198b3o$107b2o2bo2bo$109b2obo197bobobo$110b2obo197bobo$109b3o
197b3ob3o$111bob3o193bo5bo$108b2o3bo195b7o$310bo3bo3$314bo$313bobo$
313bobo19bobo$334b2ob2o$333b3ob3o3093bobo13bobo$311b3o18b3o3b3o3092b3o
13b3o$311bobo19b2obob2o$125bo185b3o$123b3o185b3o19bo5bo3255bo22bo356bo
22bo$124bobo56bobo124bobobo21bo3097bo15bo143b3o20b3o354b3o20b3o$122bo
2b2o54bobobobo122bo3bo18b2o3b2o3093bobo13bobo142b3o20b3o354b3o20b3o$
121bo9bo50bobobo124b3o21b3o3856bobo$120bo6b3obo2bo48bobo126bo21b2ob2o
2530bo1325bo$121b2o2b3o4b2o47bo2bo2bo123bobo2554b3o$123b4o2bobo2b2o45b
2ob4o122b5o21bo$124bo2bobobobobo45bobobobo121b2obob2o2552bobo30bo70bo$
124bo6bobo3b2o41bo2b3o2bo121b2ob2o21bo43bobo2517bobo68bobo620b3o20b3o
354b3o20b3o$125b2o4bobob4o45b2ob2o96bobobo20b2ob2o18bob3obo40bobo2517b
obo68bobo620b3o20b3o354b3o20b3o$124bob2o2bob2ob3o46bo3bo98bo21b2obob2o
14b2obob3obob2o37b3o3212bo22bo356bo22bo$126b2obo2b4o48bo3bo96b5o90bobo
66bo3145bo22bo356bo22bo$126b4ob6obo49bo51bob2obo37bobo3bobo20bo19bo7bo
107b3o2020bo448bo32bo641bo22bo356bo22bo$124b3ob2obo2b6o43b4o53b2ob3o
37b2o5b2o19bobo16b4o5b4o53bobo49bobo349bobo19bobo1645b3o446b3o30b3o
315bobo322bo22bo356bo22bo$125bo6bo3bobo45b2o54bobo2b3o35bobo3bobo18bob
obo15bo11bo53bobo50bo350bobo19bobo26bobo20bobo1530bo4bo438bo67bobo30bo
bo316bo322bobo20bobo354bobo20bobo$125b4o2b2o5bo43bo5bo51b3obo2bo64bo
17b2o9b2o53bobo401bobo19bobo25b5o18b5o1572bobo17bobo377bobo67bo32bo
343bobo293b2ob2o18b2ob2o352b2ob2o18b2ob2o$128b2o3bo48bobobo56bobo64b5o
17bo7bo55b3o452bobo20bobo1530bo4bo38bo398bobo445bo86bobo12bobo190b2ob
2o18b2ob2o352b2ob2o18b2ob2o$130b7o45bo4bo58bo36bob2ob2obo19bobo22bo59b
obo31bobo418bobo20bobo1530bo4bo972bobo12bobo190b2ob2o18b2ob2o352b2ob2o
18b2ob2o$130b3o3b2o46b3o55b3obo84bo3bobo3bo89bo368bobo19bobo1582bo4bo
438bo533bobo12bobo190bobobo18bobobo352bobobo18bobobo$183bob2o56b2obo
38b2ob2o20bobobo19b2ob2o461b3o19b3o1582bo4bo437bobo741b3o20b3o354b3o
20b3o$113bo3bo64bobo59bobo34b2o2b2ob2o2b2o41b3o462bobo19bobo235b3o
2138bo228bobo19bobo139b3o20b3o165bo22bo165b3o20b3o$112bob2obo64b2obo
60bo33b3o3b3o3b3o16b3o21bobo462bobo19bobo1581bobo2bobo787bo183bobo12bo
bo27bobo19bobo140bo22bo165b3o20b3o165bo22bo$111bobo2b2o65bo3b2o53bob3o
35bo4bo4bo17b5o18bo5bo461bo21bo237bo1344b3o2b3o505bobo30bobo246bo183b
3o12b3o27b3o19b3o329b3o20b3o$112bo2bobo65b2o2b2o54b3o35b2o9b2o16b5o19b
o3bo721bobo1343b3o2b3o505b3o30b3o430bobo12bobo27bobo19bobo$112bobo2b3o
63b4obo14bobo36bob2o35bo3b5o3bo42bo2070bo4bo507bo32bo431bobo12bobo$
113bo2bo2b2o60b2ob2o2bo16b2o35bob2o35bo2bobobobo2bo15bo2bo2bo17b2o3b2o
2017b3o2b3o555bo32bo432bo14bo$111b5o2b3o61b2o2bobo12bobob2o35b3o36bo5b
o5bo18bo18b2o2b3o2b2o2015b3o2b3o1191b2o2b2o2b3o80b3o2b2o2b2o126bobo20b
obo126b2o2b2o2b3o80b3o2b2o2b2o$115bobo2bo62b3ob2o12b2ob2o36b3o36bo11bo
16b5o16bob2o3b2obo2015bobo2bobo1192bo2bo4bo82bo4bo2bo127bobo20bobo127b
o2bo4bo82bo4bo2bo$115b3o2b4o59bobo18bo36b3ob2o34bobo3bo3bobo17b3o19bo
2bo2bo2017b3o2b3o504bo686b2o2b2o2b3o80b3o2b2o2b2o127bo22bo127b2o2b2o2b
3o80b3o2b2o2b2o$116b6o2bo57b3obo35bobo16bobobo35b3ob2ob2ob3o18bo18b3ob
3ob3o243bobo5bo4bo5bobo24bo660bobo1573bobo$119b2obobo77b4o16b3o18bo38b
o3b3o3bo17b2ob2o15bobo7bobo138bo24bo78b3o4b3o2b3o4b3o23bobo98bo40bo
519b3o1365bobo20bobo$119bobo2bobo75bob2obo15bo17bobo36b15o15bo3bo165b
3o22b3o78bo5bobo2bobo5bo24bobo97bobo38bobo286bobo1294b3o2b3o295bobo20b
obo182bobo330bo26bo555bobo20bobo$119bo3bob2o61bo14b2o2bo13b2ob2o17b3o
34bo3bob3obo3bo15bobobo17bo7bo139bobo22bobo78bo5bobo2bobo5bo124bobo38b
obo287bo271bobo14bo18bo14bobo520bo14bo434b3o2b3o295b3o20b3o183bo330b3o
24bobo548bob2o3bo3b2obo8bob2o3bo3b2obo$120b3obobo57bobo17bo37bob2o34b
2obo7bob2o15b2ob2o16b2o7b2o39bo99bo24bo86bo4bo32bo268bobo4bobo382b3o
38b3o13b3o16b3o13b3o519b3o12b3o434bo4bo36b4o12b4o240bobo20bobo87bo19bo
75bo330bobo24bobo546b2obo4b3o4bob2o4b2obo4b3o4bob2o$123bo2b3o54b2obo
14b4obo36bo2bo34b3o2b3o2b3o16bobobo16b3o5b3o38bobo164bobo80bobo98bo10b
o18bo10bo127bobo4bobo47bobo13bobo84b3o229bobo54bobo16bobo48bobo6bobo
87bo18bo272bobo5bo12bo5bobo60bobo3bobo12bobo3bobo130bobo20bobo114b3o
198bo16bo82bo4bobo13bobo4bo242b3o17b3o405b3o25bo201bobo19bobo323bob2o
2bobo2b2obo8bob2o2bobo2b2obo$122b6ob2o51b3o20bobo34bo2b2o35b11o17b2ob
2o17bo7bo206b3o80b3o97bobo8b3o16b3o8bobo126bobo4bobo48bo15bo374bobo16b
obo40bo7b3o6b3o7bo79bo18bo272bobo4b3o10b3o4bobo60bobo4bo14bo4bobo130b
3o6bobo2bobo6b3o314b4o12b4o80b3o3b3o13b3o3b3o241bobo17bobo405b3o25bo
201b3o19b3o330bo22bo$125b2o54bobo4bo14b2ob2o17b2o15bo2bo64bobobo19bobo
bo149bo10bo31bo16bo81bobo108bobo16bobo137b3o4b3o370bobo67bo18bo41bo8bo
8bo8bo78bobo16bobo42bo38bo189b3o24b3o29bo30bobo24bobo81bo7b3o39bo7bobo
2bobo7bo116bo149bo18bo100bo28bobo4bo15bo4bobo241b3o17b3o405b3o25bo201b
obo19bobo330bo22bo$125bo5b2o48b2o2bob2o12bo2bob2o13bob4o14b3ob3o36bob
3obo19bo3bo18bo2bo2bo191bo16bo81b3o108bobo16bobo137bobo4bobo371bo10bob
o115b3o7bo8bo7b3o77b3o16b3o41bobo36bobo188bobo24bobo28bobo29b3o24b3o
80b3o48bo7bobo2bobo7bo116bo98bobo167bobo28bo5bo15bo5bo242b3o5bo5bo5b3o
405bobo227b3o19b3o328b5o18b5o$126bo2bo2bo50b3o2bo12bob3o17bo18bobob2o
13bo23b5o20bobobo18bo5bo148bo10bo30b3o98bo99bo10bo18bo10bo178bo29bo
310b3o115bobo24bobo77bobo16bobo41bobo11bo12bo11bobo69bo16bo152bo6bobo
29bobo24bobo80bobo7bo48b3o2b3o223bobo48bo18bo401bobo4bobo3bobo4bobo
105bobo68bobo254bo201b3o19b3o328b5o18b5o$126bo57b2o2bo12bob2o18bo19b5o
13bob2o19bob3obo19bo3bo19b5o149bo10bo31bo99bo98bobo38bobo82bo14bo138b
3o14b3o71bobo39bobo44bo10bo28bobo3b3o11b3o3bobo33bobo115b3o24b3o77b3o
16b3o54bobo10bobo81bobo3bobo2bobo3bobo42bobo17bobo85bobo148bo8bo48bobo
2bobo44bobo33bobo41bo98bobo48bo18bo99bobo138b3o11b3o38b3o8b3o92b3o4bob
o3bobo4b3o105b3o68b3o254bo555b3o20b3o$128bo3b2o49b2obobo13b3o16bobo20b
o2bo12b2obo46bobobo17b9o139bobo5bo10bo5bobo23bo198bobo38bobo81bobo12bo
bo78bo6bo15bo6bo119b3o39b3o34bobo7bo10bo7bobo18b3o23b3o74bo52bo23b3o
24b3o71bo32bo48bobo10bobo81bobo3bobo2bobo3bobo42bobo17bobo85bobo97bobo
158bobo6bobo15bobo6bobo40b3o97b3o5bo42bo18bo100bo85bobo20bobo77b3o20b
3o86bobo17bobo56bo48bobo68bobo37bo65bobo4bobo30bo49bo162bobo12bobo$
128b2obob2o27bo17b5o3bo14bo17b2obo19b2obo12bo24bobobo20b2ob2o16b5ob5o
138b3o5bo10bo5b3o23bo323bobo12bobo78bo6bo15bo6bo29bo16bo32bo39bobo39bo
bo34b3o6bobo8bobo6b3o19bo5bo13bo5bo75bo52bo24bo26bo71b3o30b3o150bobo2b
obo48b3o17b3o186bo58bo100bobo6bobo15bobo6bobo140bobo4b3o41bo18bo100bo
79bobo4bo22bo4bobo23bo13bo33bobo4bo10bo4bobo25bo3b3o54b3o5bo5bo5b3o55b
3o47bobo68bobo36bobo57bobo4bobo4bobo4bobo23bo49bo59b3o101bo14bo$131b2o
b3o24b3o16b2obo4bo14b2o16b2obo18b2o2bo14b2o23bo22bobobo15bob2o5b2obo
37bobo98bo24bo23b3o322b3o12b3o78bo6bo15bo6bo29bo16bo31bobo126b3o8b3o
28bo4bobo11bobo4bo23bo51bo52bo123b3o4b3o16b3o4b3o194bobo9bobo17bobo9bo
bo232b3o99b3o6b3o15b3o6b3o41bo105b3o96bobo2bobo137b3o32b3o23bo13bo33b
3o3bobo8bobo3b3o24b3o60bo5bobo3bobo5bo216bobo58bo5b3o4b3o5bo23b3o47b3o
58bobo365bo22bo163b7o16b7o163bo22bo$132b2o2b2obo43bo2b3o14b2obo14b3ob
2o13bo20b4o21bobo21b2ob2o17b2obobob2o39bobo14bo33bo17bo31bo6bo10bo6bo
23b3o197b3o38b3o84bo10bo81bo6bo15bo6bo78bobo126bobo8bobo33b3o11b3o28bo
51bo52bo130bobo16bobo102bo12bo85b3o9b3o17b3o9b3o224bo109bobo6bobo15bob
o6bobo40bobo147bobo16bobo34b3o2b3o252b3o8b3o30bobo3bo56bo19bo248bo34bo
bo4bobo29bobo47bobo58bobo41bo510bob3obo16bob3obo$133bo2bobo23bo18bob3o
2bo16bo15b2obo16b6o36bo3bo3bo18bobobo18bo2bo2bo41bo14b3o32bo16bobo36bo
bo8bobo29bobo14b3o33b2o22b2o35bobo34bo18bo29bobo38bobo237bo16bo32bo39b
obo39bobo43b3o8b3o33bobo11bobo28bo137b3o6b3o30bo5bobo8bobo5bo153bobo
10bobo40bobo2bobo306b3o7bo39b3o20b3o119bobo43bo4bo93b3o16b3o128bobo3b
3o13b3o3bobo81bo13bo39bobo8bobo31bo3bobo132b3o158bo29bobo33b3o4b3o29b
3o47b3o59bo41bobo107b3o22b3o375b5o18b5o$133b4o23b3o18bo3bo16bo3bo13b2o
3bo17b3o18b2o17b3obob3o18b2ob2o18bob3obo56b3o32bo98b3o14b3o33bo24bo35b
obo33b3o16b3o28b3o38b3o176bobo5bo15bo5bobo27b3o14b3o30b3o38b3o39b3o35b
o28bo25b3o11b3o28bo51bo52bo32b3o6b3o29b3o4bobo8bobo4b3o106bo12bo32bobo
10bobo40b3o2b3o157bo99bo48b3o6bobo38b3o20b3o119bobo42b3o2b3o92b3o5b6o
5b3o79bo49bo4b3o13b3o4bo28bo22bo29b3o11b3o38b3o8b3o170bobo66bobo30bobo
55bobo28bobo72b3o47b3o31bobo67b3o25bo32bo14bo33bobo22bobo23bo21bo331bo
22bo$134bo4bo22bo18bobo17b3obobo13b2obo19bo2bo13bo2b2o17b3obob3o18bobo
bo20bobo58bobo32bo98bobo14bobo33bo24bo35bobo33bobo16bobo28bobo38bobo
176b3o4bobo13bobo4b3o118bobo39bobo34bobo26bobo24bobo11bobo166bobo6bobo
29bobo4bobo8bobo4bobo22bobo30bobo47bobo10bobo87bobo2bobo48b3o17b3o48bo
2bo33bobo50bo2bo44bo48bobo47bobo20bobo37bo33bo47bobo42bobo2bobo49bobo
41bo7bo2bo7bo79bobo53bobo13bobo27bo5bo22bo5bo78bobo8bobo30b3o48b2o41b
2o44b3o67bo32bo163bo49bo32b3o68bo25bobo31bo14bo33b3o22b3o23bo21bo$135b
o2bo21b2o2bo16b3o18b3o15bo2bo20b4o13b3o2bo17b7o45bo60bo32bobo48bo24bo
40b3o30bobo26bobo32b3o33bobo16bobo28b3o38b3o38bo43b3o10b3o30bo4bo42b3o
27b3o28bo16bo32bo39b3o39b3o43b3o8b3o33bobo11bobo28bo48b3o54b3o29b3o6b
3o29bobo4b3o8b3o4bobo22bobo30bobo47b3o10b3o32bo12bo41bobo2bobo37bo11bo
19bo11bo37b4o33b3o50b4o43b3o48bo48b3o20b3o34b4o33b4o44b3o42bobo2bobo
49bobo49bo2bo44bo4bo37b3o47b3o3b3o13b3o3b3o20bobo3b3o20b3o3bobo23bo13b
o39bobo8bobo30b3o47bob2o39b2obo43bobo189bo34b3o4b3o113bobo94b3o30b3o
12b3o32b3o22b3o22b3o19b3o139bobo20bobo354bobo20bobo$134bo2bo25bo17bo
20b2o18bo21bo21bo17bo5bo21bo23bo60bo32bobo47bobo22bobo39bobo30b2o28b2o
32bobo34bo18bo29bobo38bobo37bobo42bobo10bobo31b4o44bo29bo28bobo14bobo
30bobo38bobo39bobo43bobo8bobo33bobo11bobo27bobo48bo56bo30bobo6bobo30bo
5bobo8bobo5bo24bo32bo49bo12bo32bobo10bobo41bo4bo37bobo41bobo36bo2bo34b
o51bo2bo43bobo48bo48bobo20bobo34bo2bo33bo2bo44bobo43bo4bo51bo49b2o2b2o
42bobo2bobo37bo54bobo13bobo32bobo20bobo28bobo11bobo38bobo8bobo30bobo
48b2o41b2o44bobo66b3o30b3o86bobo34bo6bo114bobo95bo31bobo12bobo32bobo
22bobo22bobo19bobo139bobo20bobo354bobo20bobo$3125bo33bo434b3o20b3o354b
3o20b3o$3126bo31bo436bo22bo356bo22bo$3125bo33bo434bobo20bobo354bobo20b
obo$3594b3o20b3o354b3o20b3o193b2ob2o$3594bobo20bobo354bobo20bobo194bob
o$3564b2o29bo22bo29b2o294b2o29bo22bo29b2o163bobobo$3565bo27b5o18b5o27b
o135bobo20bobo135bo27b5o18b5o27bo$124bo3440bo82bo135b3o20b3o135bo82bo$
121b4o3440bo82bo103bo2b2o27bobo20bobo27b2o2bo103bo82bo$119bob2ob2o
3438b2o82b2o101bobob3o78b3obobo101b2o82b2o$119b3o4bo3628bo29bo22bo29bo
$117b3o2bobo3626b6o27bobo20bobo27b6o$118b2o4bo3619b4o4b3o84b3o4b4o345b
o$120bo3609b2o5b2o2bo3bo2b6o3b2o2bo2bo2bo58bo2bo2bo2b2o3b6o2bo3bo2b2o
5b2o$118bobo3610bo2bo2bo6b3obobobo2bo2bo8b2o56b2o8bo2bo2bobobob3o6bo2b
o2bo$121b2obob4o3600b2o5b2o2bo3bo2b6o3b2o2bo2bo2bo58bo2bo2bo2b2o3b6o2b
o3bo2b2o5b2o$117b3obo2bo2b3o3614b4o4b3o84b3o4b4o344b3o$120b2o3bobobobo
3619b6o80b6o351bobo$124b3obobo3b2o3619bo82bo355b3o$125bob3obo3bo3615bo
bob3o78b3obobo351bobo$126bo3b3o2b2o3615bo2b2o80b2o2bo$126bo3b2o3bobo
505bo42bo115bo5bo49bo49bo732bo614bo1025bo56bo$127b2o7bo$127b2o254bo3b
3o3b3o35b3o3b3o3b3o35bo4b3o2b5o35b3o3b3o41bo3b5o2b3o36b3o3b3o3b3o35b3o
2b5o40bo3b3o3b3o57b3o2b5ob5o34b3o3b3o3b3o35b3o3b3o41bo4b3o2b5o45bo4b3o
5bo36b3o2b5o40bo4b3o3b3o3b3o50b3o2b5ob5o34bo3b5o2b3o36bo4b3o3b3o36bo5b
o4b3o66bo3b5ob5o35bo5bo3b5o35b3o3b3o5bo55b3o3b3o4bo46b3o5bo41bo4b3o3b
3o36b3o3b3o3b3o55b3o4bo4b3o35bo4b3o2b5o25b3o2b5o2b3o45bo3b5o2b3o3b3o
30bo4b3o3b3o36b3o2b5o2b3o45b3o3b3o2b5o63b5o3bo42bo4b3o3b3o36bo3b5o2b3o
36b3o3b3o5bo35b3o3b3o3b3o34b5o4bo3b3o35b3o2b5ob5o44b3o3b3o3b3o35bo3b5o
3bo37bo4b3o3b3o36b3o3b3o41bo4b3o3b3o76b3o4bo4b3o54b5o2b3o2b5o74b3o5bo
3b3o45b3o2b5o50bo4b3o2b5o55b3o5bo2b5o54b3o3bo2b5o4bo41bo3b5o2b3o36bo3b
5o2b3o38bo2b5ob5o104b3o106b3o268b3o106b3o$127b2o7b2o244b2o2bo3bobo3bo
33bo5bo3bobo3bo33b2o3bo3bo5bo34bo3bobo43b2o7bobo3bo34bo3bobo3bobo37bo
3bobo43b2o2bo3bobo3bo55bo3bobo9bo33bo3bobo3bobo3bo33bo3bobo3bo39b2o3bo
3bo5bo44b2o3bo3bo3b2o35bo3bobo43b2o3bo5bo3bobo3bo48bo3bobo5bo37b2o3bo
5bo3bo34b2o3bo3bobo3bo34b2o4b2o3bo3bo64b2o3bo5bo38b2o4b2o7bo34bo3bobo
3bo3b2o54bo3bobo3bo2b2o45bo3bo3b2o40b2o3bo5bo3bo34bo3bobo3bobo57bo3bo
2b2o3bo3bo33b2o3bo3bobo28bo3bo5bobo3bo43b2o3bo5bo3bobo3bo28b2o3bo3bobo
38bo3bo5bobo3bo43bo3bobo3bo5bo63bo6b2o41b2o3bo3bobo3bo34b2o3bo5bo3bo
34bo3bobo3bo3b2o34bo3bobo3bobo41bo3b2o2bo3bo33bo3bo5bobo47bo3bobo3bobo
3bo33b2o7bo2b2o36b2o3bo3bobo3bo34bo5bo3bo39b2o3bo3bobo3bo74bo6b2o3bo3b
o57bobo3bobo77bo3bo3b2o2bo47bo3bo5bo49b2o3bo3bobo58bo3bo3b2o2bo57bo3bo
b2o6bo3b2o40b2o3bo5bo3bo34b2o7bobo40b2o6bobo$128b3o6b2o242bobo2bo2b2o
5bo33bo5bo2b2obo3bo34bo3bo2b2o4bo35bo3bobo44bo6bo6bo38bobo2b2obo37bo3b
obo44bo6bobo3bo59bobo8bo38bobo3bobo2b2o37bo5bo40bo7bo4bo46bo3bo2b2o2bo
bo39bobo44bo3bo9bo5bo52bobo5bo38bo3bo5bo2b2o35bo3bo3bobo3bo35bo5bo7bo
65bo3bo5bo39bo5bo6bo39bo5bo2bobo58bobo2b2o3bo45bo3bo2bobo41bo3bo5bo3bo
38bo5bobo61bo3bo3bo3bo34bo7bobo32bo4bo2bo2b2obo42bo3bo5bo3bo5bo29bo3bo
3bobo42bo4bo6bo47bo5bo4bo64bo7bo42bo3bo2b2o5bo35bo3bo9bo38bobo2b2o2bob
o38bobo2b2obo40bo3bobo2bo3bo37bo4bo2bo51bo5bo5bo34bo6bo4bo37bo7bobo2b
2o34bo5bo3bo40bo7bobo3bo74bo7bo3bo2b2o56bo6bobo77bo3bo2bobo2bo47bo3bo
4bo51bo3bo2b2obo58bo3bo2bobo2bo61bo2bo5bo3bobo41bo3bo5bo3bo35bo6bo2bo
39bobo5bo2bo109bo108bo270bo108bo$131bo2bob3o241bo2bo2bobobo4bo34b4o2bo
bobo2b3o35bo3bobobo3bo37b3o2b4o41bo5bo6bo38bo2bobobob4o35b4o2b3o41bo5b
o3b3o59bo3b3o4bo38bo3b4obobobo35b2o4b2o41bo5b2o4bo47bo3bobobobo2bo37b
2o3b3o41bo3b4o5bo5bo52bo3b3o3b3o35bo4b3o2bobobo35bo4b3o3b3o36bo5bo5b2o
66bo4b3o3b3o36bo5bo5bo39bo4b2o2bo2bo57bo2bobobo3bo46b3o2bo2bo41bo3b4o
3b3o37b2o4b2o2b4o57bo4bo4b4o34bo5b2o3b3o28bo4bo3bobobo44bo4b3o3b3o5bo
30bo4b3o2b4o37b2o4bo6bo47bo4b2o4bo66b3o4bo42bo3bobobo4bo36bo4b3o4b2o
38bo2bobobobo2bo36b2o2bobobob4o36bo3bo2bo3b3o36b2o4bo4b3o47bo5bo5bo35b
o5bo5bo37bo6bo2bobobo34b4o3b4o40bo5b2o3b3o75b4o4bo3bobobo55bo5b2o3b3o
75b4obo2bo2b4o45b3o4bo52bo3bobobo2b3o56b4obo2bo3b3o57bo3bo4bo3bo2bo41b
o4b3o3b3o36bo5bo3b4o35bo2bo4bo4b3o105bobo106bobo268bobo106bobo$130bo4b
obo242b5ob2o2bo3bo35bo3bob2o2bobo3bo34bo3b2o2bo2bo37bo3bobo3bo40bo4bo
6bo38bo3b2o2bobo3bo37bo5bo40bo4bo3bo3bo57bo7bo2bo38bo7bob2o2bo37bo5bo
40bo7bo2bo48bo3b2o2bob5o38bo5bo40bo3bo3bo3bo5bo52bo7bo5bo34bo7bob2o2bo
35bo3bo3bobo3bo35bo5bo7bo65bo7bo5bo35bo5bo4bo39bo7bob5o55bo3b2o2bo3bo
45bo3bob5o40bo3bo3bobo3bo38bo5bobo3bo55bo5bo7bo34bo7bo5bo26bo4bo4b2o2b
o44bo7bobo3bo3bo31bo3bo3bobo3bo38bo2bo6bo47bo7bo2bo70bo3bo42bo3b2o2bo
3bo37bo7bo5bo36bo3b2o2bob5o37bob2o2bobo3bobo32bo4b5obo3bo37bo2bo8bo45b
o5bo5bo36bo4bo6bo37bo5bo3b2o2bo34bo3bo5bo40bo7bobo3bo74bo3bo3bo3b2o2bo
54bo8bo5bo77bob5obo3bo43bo3bo2bo53bo3b2o2bo5bo58bob5o5bo55bo4bo3bo4b5o
40bo7bobo3bo35bo4bo4bo3bo34b5o2bo8bo$137b3o243bo2bo3bo2bo36bo3bobo3bob
o3bo34bo3bo3bobo38bo3bobo3bo40bo3bo6bo38bo4bo3bobo3bo37bobo3bo40bo3bo
4bo3bo56bo4bo3bobo38bo8bobo3bo33bo3bobo3bo40bo3bo3bobo49bo3bo3bo4bo35b
o3bobo3bo40bo3bo3bo2bo5bo52bo4bo3bobo3bo34bo3bo3bobo3bo35bo3bo3bobo3bo
35bo5bo3bo3bo65bo3bo3bobo3bo35bo5bo3bo39bo4bo3bo4bo55bo4bo3bo3bo45bo3b
o4bo41bo3bo3bobo3bo34bo3bobo3bobo3bo54bo6bo7bo34bo3bo3bobo3bo25bo4bo5b
o3bo44bo3bo3bobo3bo2bo32bo3bo3bobo3bo34bo3bobo6bo47bo4bo3bobo67bo3bo3b
o42bo3bo3bo2bo38bo3bo3bobo3bo35bo4bo3bo4bo34bo3bobo3bobo3bo33bo8bo2bo
3bo33bo3bobo5bo3bo44bo5bo5bo37bo3bo7bo37bo4bo4bo3bo34bo3bo5bo40bo3bo3b
obo3bo74bo3bo3bo3bo3bo53bo5bo3bobo3bo77bo4bo2bo3bo43bo3bobo54bo3bo3bob
o3bo58bo4bo2bo3bo54bo5bo2bo8bo41bo3bo3bobo3bo35bo3bo5bo3bo37bo2bo5bo3b
o694bo$130bo4b3obo243bo3b3o2b5o34b3o3b3o3b3o34b3o3b3o2bo39b3o3b3o40b3o
2bo5b5o34b5o2b3o3b3o35b3o3b3o40b3ob5o2b3o56b5o2b3o2bo37b5o2b3o3b3o35b
3o3b3o40b3o3b3o2bo48b3o3b3o5bo36b3o3b3o40b3o3b3o2b5ob5o48b5o2b3o3b3o
34b3o3b3o3b3o35b3o3b3o3b3o35b3o3b3o3b3o65b3o3b3o3b3o35b3o3b3o2bo38b5o
2b3o5bo54b5o2b3o3b3o45b3o5bo40b3o3b3o3b3o36b3o3b3o3b3o54b5o2b3o3b3o34b
3o3b3o3b3o25b5obo6b3o44b3o3b3o3b3o2b5o28b3o3b3o3b3o36b3o2bo5b5o43b5o2b
3o2bo68b3o3b3o40b3o3b3o2b5o34b3o3b3o3b3o35b5o2b3o5bo35b3o3b3o3b3o34bo
8bo3b3o35b3o2bo6b3o44b5ob5ob5o33b3o2bo6b3o35b3o2b5o2b3o36b3o3b3o40b3o
3b3o3b3o76b3o3b3o3b3o54bo6b3o3b3o75b3o5bo3b3o45b3o2bo53b3o3b3o3b3o56b
3o5bo3b3o54b5ob3obo8bo40b3o3b3o3b3o35b3o2bo6b3o38bo2bo6b3o694b3o$4140b
obo$387bo57bo40bo52bo41bo149bo6bo69bo99bo42bo6bo57bo51bo42bo119bo49bo
5bo43bo5bo73bo49bo5bo119bo6bo96bo126bo42bo11bo87bo5bo43bo11bo106bo75bo
94bo57bo48bo56bo108bo36bo11bo49bo87bo6bo89bo68bo203bo10bo70bo167bo54bo
703bobo$4141bo$4141bo$4140b3o$4140b3o86bobo$4230bo2$4140bobo$4141bo2$
3754b2o82b2o300bobo$3755bo82bo$3755bo82bo$3755bo82bo301bobo$3754b2o82b
2o300bobo$4140bobo5$3552bo108bo270bo108bo$3551b3o106b3o268b3o106b3o$
3551b3o106b3o268b3o106b3o98bo$3551bobo106bobo268bobo106bobo97b3o$3551b
3o106b3o268b3o106b3o97b3o$3552bo108bo270bo108bo98bobo$3552bo108bo270bo
108bo$4141bo$4141bo$4141bo$4141bo2$3564b2o82b2o294b2o82b2o111bo$3565bo
82bo296bo82bo$3565bo82bo296bo82bo$3565bo82bo296bo82bo$3564b2o82b2o92bo
108bo92b2o82b2o$3742bo108bo$3741b3o106b3o$3741bobo106bobo$3741b3o106b
3o$3741bobo106bobo$3741b3o106b3o$3741b3o106b3o$3741bobo106bobo$3741b3o
106b3o$3742bo108bo289bo$4140b3o2$4140bobo4$4228b2ob2o$4229bobo$4228bob
obo$3729b2o5b2o3bobo3b2o5b2o82b2o5b2o3bobo3b2o5b2o275bobo$3728b2obo3b
2obo3bo3bob2o3bob2o80b2obo3b2obo3bo3bob2o3bob2o274b3o149bobo$3729b2o6b
o3bobo3bo6b2o82b2o6bo3bobo3bo6b2o275bobo150bo$3736b13o96b13o$3594bobo
20bobo120b2ob2o104b2ob2o120bobo20bobo$3594b3o20b3o120bobobo104bobobo
120b3o20b3o140bobo$3740b2ob2o104b2ob2o376bo$3595bo22bo117b3o2b3o2b3o
96b3o2b3o2b3o117bo22bo$3595bo22bo118b3o2bo2b3o98b3o2bo2b3o118bo22bo
141bobo$3595bo22bo118b3obobob3o98b3obobob3o118bo22bo$3595bo22bo120b7o
102b7o120bo22bo230b3o$3595bo22bo121bo3bo104bo3bo121bo22bo141bobo86bobo
$3595bo22bo123bo11b2o82b2o11bo123bo22bo141b3o86b3o$3755bo82bo301bobo
86bobo$3594b3o20b3o122bo12bo82bo12bo122b3o20b3o$3589b3ob5ob3o10b3ob5ob
3o117bo12bo82bo12bo117b3ob5ob3o10b3ob5ob3o$3590b4obob4o12b4obob4o130b
2o82b2o130b4obob4o12b4obob4o$3591bo7bo14bo7bo118b3o106b3o118bo7bo14bo
7bo$3589b2obo2bo2bob2o10b2obo2bo2bob2o344b2obo2bo2bob2o10b2obo2bo2bob
2o$3589b3o3bo3b3o10b3o3bo3b3o344b3o3bo3b3o10b3o3bo3b3o$3595bo22bo356bo
22bo$3589b2ob3ob3ob2o10b2ob3ob3ob2o344b2ob3ob3ob2o10b2ob3ob3ob2o$3591b
obobobobo14bobobobobo348bobobobobo14bobobobobo$3595bo22bo356bo22bo2$
3567bobo74bobo137bobo20bobo137bobo74bobo$3568bo76bo138b3o20b3o138bo76b
o$3568bo76bo302bo76bo$3566b2ob2o72b2ob2o298b2ob2o72b2ob2o$3568bo76bo
302bo76bo$3785bo22bo$3554b4o2b2o4b2ob2o72b2ob2o4b2o2b4o124bobo20bobo
124b4o2b2o4b2ob2o72b2ob2o4b2o2b4o135b3o2b2o2b2o4b6o2b2o3bo2b2o$3552b2o
bobo2bo7bo76bo7bo2bobob2o270b2obobo2bo7bo76bo7bo2bobob2o132b8o2b3o4bob
obo4bo3bo3bo$3554b4o2b2o4b2ob2o72b2ob2o4b2o2b4o274b4o2b2o4b2ob2o72b2ob
2o4b2o2b4o135b3o2b2o2b2o4b6o2b2o3bo2b2o$3782bo28bo$3568bo76bo137b2o24b
2o137bo76bo$3566b2ob2o72b2ob2o135bob2o20b2obo135b2ob2o72b2ob2o$3568bo
76bo128b2o7b2o2bo3b2ob2o2b2ob2o3bo2b2o7b2o128bo76bo$3568bo76bo129b3o7b
2o3bo2b3o2b3o2bo3b2o7b3o129bo76bo$3567bobo74bobo127b2o6b3o6b2ob2o2b2ob
2o6b3o6b2o127bobo74bobo11$4291b2ob2o$4292bobo$4291bobobo5$3742bo42bo
22bo42bo$3741bobo40b3o20b3o40bobo$3741bobo40b3o20b3o40bobo440bo$3784bo
bo20bobo$3784b3o20b3o$3784b3o20b3o$3785bo22bo483b3o$3743bo41bo22bo41bo
441bobo$3740b2obo40b3o20b3o40bob2o438b3o$3741b2o41b3o20b3o41b2o439bobo
$3730bo2bo2bo5bo15b2o5b2o4bo12b3o20b3o12bo4b2o5b2o15bo5bo2bo2bo$3729b
2o2bo2bobobo16bo6bobob2ob3o11bo22bo11b3ob2obobo6bo16bobobo2bo2b2o$
3730bo2bo2bo5bo15b2o5b2o4bo50bo4b2o5b2o15bo5bo2bo2bo$3741b2o108b2o$
3740b2obo106bob2o$3743bo106bo5$3741bobo106bobo$3741bobo106bobo$3742bo
108bo4$3699bo194bo$3698bobo192bobo$3698bobo192bobo$3699bo194bo$3698b3o
192b3o3$4191bo$3697b5o190b5o293b3o$3697b2ob2o190b2ob2o293bobo$3552bo
108bo35bo3bo190bo3bo35bo108bo148b3o$3695b4ob3o24bobo134bobo24b3ob4o
291b3o$3550b5o104b5o31bobo3bobo3bo19bob2o132b2obo19bo3bobo3bobo31b5o
104b5o146bobo$3550b5o104b5o33bobobo8b3o2b2o9bo2b3o130b3o2bo9b2o2b3o8bo
bobo33b5o104b5o122bobo21b3o$3694bob2obob2obobobobob3o2bo6b3ob2o134b2ob
3o6bo2b3obobobobob2obob2obo267bo22bobo$3697bobobo8b3o2b2o9bo2b3o130b3o
2bo9b2o2b3o8bobobo270bo22b3o$3695bobo3bobo3bo19bob2o132b2obo19bo3bobo
3bobo266b2ob2o21bo$3550bobobo104bobobo31b4ob3o24bobo134bobo24b3ob4o31b
obobo104bobobo123bo23bo$3697bo3bo190bo3bo$3551bobo106bobo34b2ob2o190b
2ob2o34bobo106bobo122b2ob2o4b2o2b4o$3551bobo106bobo34b5o190b5o34bobo
106bobo124bo7bo2bobob2o$3551b3o106b3o268b3o106b3o122b2ob2o4b2o2b4o$
3551bobo106bobo268bobo106bobo$3552bo108bo270bo108bo125bo23bo$3552bo
108bo36b3o192b3o36bo108bo123b2ob2o21bo$3699bo194bo272bo22b3o$3698bobo
192bobo271bo22bobo$3698bobo192bobo270bobo21b3o$3699bo194bo295bobo$
4190b3o$4190b3o$4190bobo26b2o19b2o$4190b3o26bo21bo$4191bo27bo21bo$
4219b2o19b2o27$3646b4o294b4o$3646bo2bo294bo2bo4$3637bo318bo$3634bo2b2o
316b2o2bo$3632bo4bo17bobo278bobo17bo4bo$3631bo4bo18b3o278b3o18bo4bo$
3632bobo2b2o17bo280bo17b2o2bobo$3630bob2o2b3o7b2o3b2o3bo6b7o2bo248bo2b
7o6bo3b2o3b2o7b3o2b2obo$3628b2ob2obobobo4bo2bo2b3o14bobobobo248bobobob
o14b3o2bo2bo4bobobob2ob2o$3630bob2o2b3o7b2o3b2o3bo6b7o2bo248bo2b7o6bo
3b2o3b2o7b3o2b2obo$3632bobo2b2o17bo280bo17b2o2bobo$3631bo4bo18b3o278b
3o18bo4bo$3551bobo78bo4bo17bobo278bobo17bo4bo78bobo$3551b3o80bo2b2o
316b2o2bo80b3o$3551bobo83bo318bo83bobo$3551b3o486b3o$3551b3o486b3o$
3552bo488bo$3646bo2bo294bo2bo$3646b4o294b4o$4303b2o$4304bo$4222bobo27b
o5b3obo41bo$4221b3o5bo19b6o3b3obo40b2o$4221bob3o3bo20b2o3b2ob6o$4221b
3o5bo19b6o3b3obo$4222bobo27bo5b3obo29$3611b4o364b4o$3611bo2bo364bo2bo
9$3607bo2bo3b4o2b3o2b2o2b2o8b2o312b2o8b2o2b2o2b3o2b4o3bo2bo$3551b3o53b
obo5bo3b8o2b3o6bob2o310b2obo6b3o2b8o3bo5bobo53b3o$3551b3o53bo2bo3b4o2b
3o2b2o2b2o8b2o312b2o8b2o2b2o2b3o2b4o3bo2bo53b3o$3551bobo486bobo$3552bo
488bo$3551b3o486b3o$3551bobo486bobo$3551bobo486bobo4$3611bo2bo364bo2bo
$3552bo58b4o364b4o58bo36$3576b4o434b4o$3576bo2bo434bo2bo3$3582bo428bo$
3581b3o426b3o$3581b3o426b3o$3580bobobo424bobobo$3571bo8b2ob2o424b2ob2o
8bo$3566b2o2b4o6b2ob2o35bo352bo35b2ob2o6b4o2b2o$3551bobo5b3o5b2ob4o6b
5o6b3o2b2o6bo2bo12b2o350b2o12bo2bo6b2o2b3o6b5o6b4ob2o5b3o5bobo$3552bo
4b2ob3o2b2obobob3o4b2obob2o6b2obob2o6bobo10b3o2bo346bo2b3o10bobo6b2obo
b2o6b2obob2o4b3obobob2o2b3ob2o4bo$3559b3o5b2ob4o6b5o6b3o2b2o6bo2bo12b
2o350b2o12bo2bo6b2o2b3o6b5o6b4ob2o5b3o$3551bobo12b2o2b4o6b2ob2o35bo
352bo35b2ob2o6b4o2b2o12bobo$3551b3o17bo8b2ob2o424b2ob2o8bo17b3o$3551b
3o26bobobo424bobobo26b3o$3552bo28b3o426b3o28bo$3581b3o426b3o$3582bo
428bo3$3576bo2bo434bo2bo$3576b4o434b4o!

The collection is taken from: viewtopic.php?f=11&t=6492

Another one, by the same person:

Code: Select all

#N 15c-85265o.rle
#O "NimbleRogue", 16 Feburary 2024
#C This is a spaceship with an astonishingly slow speed of 15c/85265.
#C It seemingly stabilizes at around generation 9,000 but eventually
#C fail and regenerate itself with a small displacement.
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

edit: Are you accepting everything muzik suggested? Even ironic-spaceship.rle (which honestly looked like a joke to me) got accepted!
Many of the accepted patterns don't look notable (at least compared to very notable stuff like tubular-geminoid.rle).
I suggest that you look carefully through the Patterns folder and remove the non-notable ones.

Posted: **May 20th, 2024, 6:30 am**

iddi01 wrote: May 19th, 2024, 11:08 am edit: Are you accepting everything muzik suggested? Even ironic-spaceship.rle (which honestly looked like a joke to me) got accepted!
Many of the accepted patterns don't look notable (at least compared to very notable stuff like tubular-geminoid.rle).
I suggest that you look carefully through the Patterns folder and remove the non-notable ones.

That suggestion amounts to making dozens of extremely subtle judgment calls, where it will be possible to find someone to agree and someone to disagree with pretty much every suggested change. This is a thankless task, and an extremely time-consuming one. I'm not going to attempt it at the moment, though of course anyone else in the Golly Gang is free to give it a try.

I don't see any particular problem with ironic-spaceship.rle. OCA patterns showcase a huge amount of variety in rule behavior and complexity of initial conditions. Given the name of the pattern it's not too surprising that it's a little more on the jokey side, but that's not necessarily a strike against it. A previous entry in this general "slightly jokey" category was mirage.lif from Alan Hensel's collection.

That said, anyone is absolutely welcome to take over wearing the OCA Pattern Collector's Hat if they can do half as good a job as muzik did. The thing is, muzik did an incredible amount of good careful work putting together a suggested OCA collection.

The patterns and comments were well organized. In bulk, they didn't raise any red flags. This made it possible to make a yes/no decision at the level of the entire ZIP file: would it be an improvement to Golly if this collection got checked in? It seemed to me the answer was obviously "yes".

By contrast, there are grammatical errors in the pattern comments for both of suggested patterns in the last post: "most number" and "It ... fail and regenerate itself" both need fixing. Those are easy fixes, of course. It's just that they do raise a bit of a red flag for me, as to whether I can just trust the source and quickly add the patterns to Golly, without spending some unknown amount of time reviewing and fact-checking.

The "(mods may update the collection when new speeds are found)" is also something of a red flag, since we're somewhat trying to get away from pattern collections added to Golly that inevitably go out of date. Patterns that stand on their own and don't need constant attention to keep them updated seem to work better.

We still need a much larger curated OCA collection...
It still seems to me that it's not worth spending much time reviewing whether any given pattern is "more notable" or "not notable enough" to be in Golly's pattern collection. That runs straight into Aesop's-fable "two men and the donkey" territory. Golly can only hope to include a somewhat representative but sparse sampling of the OCA patterns that are available.

A much larger collection would be a big improvement -- something that's downloadable on demand via Golly's Online Archives, maybe. This topic has come up a lot. See also the Extended Pattern Collection thread, with an attempt at a Git-repository collection point that never went anywhere.

Ideally we'd need some much more workable mechanism for collaboratively adding patterns -- and possibly for moving them automatically up or down on some kind of must-see list, maybe by some gradual low-drama process like a thumbs-up / thumbs-down vote count. This is all an area where a lot of progress could be made by an ambitious volunteer, or several of them... but Stephen Silver's tag line from the Life Lexicon comes to mind. Here's the relevant misquote:

Every other author may aspire to praise; the CA pattern collector can only hope to escape reproach. Samuel Johnson, 1775

Posted: **June 4th, 2024, 3:10 am**

Code: Select all

#N Logic.rle
x = 302, y = 179, rule = Logic-Margolus-emulated
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABAB$302B$ABABABABABABABADCDABADABADABCBADCDCBC
DCDCBABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB$14BD3BD2BD
3BD2BD2BD6BD263B$ABABABABABABABCBABABADABADABCBADABABABCBABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABAB$15B3D3B5D2BD2B4D3BD263B$A
BABABABABABABABABCBADABADABCBADABABABCBABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABAB$14BD3BD2BD3BD2BD2BD6BD263B$ABABABABABABABAD
CDABADABADABCBADABABABCBABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABAB$302B$ABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABAB$302B$ABCDCDABCDCDABADCDABA
DABADCDABCDCDCBCDCDABCDCDABADCDABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
BABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB
ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABA
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BABABABABABABABABABABABABABABABABABABABABABABABABABABABAB$17BH15BF
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ABABABABABABABAB!

Posted: **June 7th, 2024, 2:06 pm**

I saw a mistake in Pigeon's original post while running his pattern:

Code: Select all

x = 150, y = 74, rule = B3/S23
127bobo$126bo$127bo2bo$129b3o7$120b3o2$121bo$121b2o25b2o$122b2o24bo$
120bo2b2o44$11bobo$2o8bo$2o9bo2bo$13b3o6$69bobo$68bo$69bo2bo$71b3o$94b
2o$94b2o!

The period was supposed to be 230,689,152 instead of the period in his post (229,689,152).
What Pigeon should also included is that the pattern is a breeder. I am calling it "46-cell quadratic growth" because it is a 46-cell pattern that exhibits quadratic growth. It can be obviously reduced by two cells by turning the two blocks into pre-blocks, resulting in this pattern I call "44-cell quadratic growth":

Code: Select all

x = 150, y = 74, rule = B3/S23
127bobo$126bo$127bo2bo$129b3o7$120b3o2$121bo$121b2o25b2o$122b2o24bo$
120bo2b2o44$11bobo$2o8bo$o10bo2bo$13b3o6$69bobo$68bo$69bo2bo$71b3o$94b
2o$94bo!

Posted: **August 2nd, 2024, 5:33 pm**

Quite disappointed that the zipped unusual growth rates never made it into 4.3 for whatever reason, nor did the other proposed pattern changes/relocations (e.g. the existing MarBlocks stuff). I suppose there's always 4.4.

Anyway, I've noticed that in the big b3s23 oscillator stamp collection, some oscillators have been unaccountably simplified such that their descriptions within the text no longer apply, e.g. 2.3.8 clearly is no longer an example of -e+e symmetry. (There are also some older errors presumably from Dean himself.) To remedy these problems, here's a first draft of an oscillator stamp collection with examples for each kinetic symmetry:

Code: Select all

#C [[ COLOR LABEL 255 128 128 ]]
#C [[ LABEL 25 20 1 "n" ]]
#C [[ LABEL 85 20 1 "-c" ]]
#C [[ LABEL 145 20 1 "-e" ]]
#C [[ LABEL 205 20 1 "/" ]]
#C [[ LABEL 265 20 1 ".c" ]]
#C [[ LABEL 325 20 1 ".e" ]]
#C [[ LABEL 385 20 1 ".k" ]]
#C [[ LABEL 445 20 1 "+c" ]]
#C [[ LABEL 505 20 1 "+e" ]]
#C [[ LABEL 565 20 1 "+k" ]]
#C [[ LABEL 625 20 1 "xc" ]]
#C [[ LABEL 685 20 1 "xk" ]]
#C [[ LABEL 745 20 1 "rc" ]]
#C [[ LABEL 805 20 1 "rk" ]]
#C [[ LABEL 865 20 1 "*c" ]]
#C [[ LABEL 925 20 1 "*k" ]]
#C [[ LABEL 25 160 1 "n-c" ]]
#C [[ LABEL 85 160 1 "-c+c" ]]
#C [[ LABEL 145 160 1 "-e+e" ]]
#C [[ LABEL 205 160 1 "/xc" ]]
#C [[ LABEL 265 160 1 ".c+c" ]]
#C [[ LABEL 325 160 1 ".e+e" ]]
#C [[ LABEL 385 160 1 ".k+k" ]]
#C [[ LABEL 445 160 1 "+c*c" ]]
#C [[ LABEL 565 160 1 "+k*k" ]]
#C [[ LABEL 625 160 1 "xc*c" ]]
#C [[ LABEL 685 160 1 "xk*k" ]]
#C [[ LABEL 745 160 1 "rc*c" ]]
#C [[ LABEL 805 160 1 "rk*k" ]]
#C [[ LABEL 25 220 1 "n-e" ]]
#C [[ LABEL 85 220 1 "-c+e" ]]
#C [[ LABEL 145 220 1 "-e+k" ]]
#C [[ LABEL 205 220 1 "/xk" ]]
#C [[ LABEL 265 220 1 ".cxc" ]]
#C [[ LABEL 385 220 1 ".kxk" ]]
#C [[ LABEL 25 280 1 "n/" ]]
#C [[ LABEL 265 280 1 ".crc" ]]
#C [[ LABEL 385 280 1 ".krk" ]]
#C [[ LABEL 25 340 1 "n.c" ]]
#C [[ LABEL 25 400 1 "n.e" ]]
#C [[ LABEL 25 460 1 "n.k" ]]
#C [[ LABEL 25 520 1 "nrc" ]]
#C [[ LABEL 25 580 1 "nrk" ]]
x = 952, y = 602, rule = B3/S23
2o8b2o9bo8bobo7b2o20bo10bo9bo6b2o2bo2b2obob2ob2obo15b2o7b2o8b2o5b2o2b
2o2b2ob2o2b2o14bo9bo10bo7b2o11bo19b2o5b2o13b2o3b2o9bo19b2o9b2o11b2o3b
2ob2obo8b2o13b2o8b2o8b2o8b2o8b2o21bo6b2o3b2o3bo2bo2bo7bo6b2obob2o13b2o
7bo2bo8b2o7b2o7b2o2b2o58b2o15b2o10bo9b2o7b2o11bo16bo9b2o10bo9bo8b2o18b
2o15b2o4bo13b2obo2bo18b2o17bo17bob2o15bo22bo19bo15b2o19b2o21b2o$obo7bo
2b2o5bobo7b2obo6bobo18bobo8bobo7bobo5bo2bobo2bob2obobob2o11b2obo2bob2o
2bo2bo6bo2bo4bo2bo2bo2bobo4bo13bobo7bobo8bobo6bo11bobo15bobobo5bobo11b
obo3bobo7bobo19bo8bo2bo7b2o2bo3bob2ob2o9bo13bo9bo9bo9bobo8bo19b5o4bobo
bobo3b7o6bobo5bob3obo12bo2bo6b4o7bo2bo5bo2bo6bo4bo17bo2bo16bo2bo16bo2b
o13bobo9bobo7bobo6bo2bo9bobo14bobo7bobo9bobo7bobo6bo2bo15b3obo15bo2b3o
14bob4o18b2o17b3o15b2obo14bobo20bobo17bobo14b2o18bo2bo19bo2bo$2bo8b2ob
o6bobo9bo7bobo17bobo7bobobo6bobo7b2ob2o7bo15bob2o2b2obo2b4o5bob2obo5b
2o2b2o4b4o14b2o8bo2bo6bobo8bo9bobo16b2o10bo10bo8bo8bobo16bo9bo2bo6bo2b
2o18b3o15bo9bo9bo10bo8bobo16bo5bo5bobo16b3ob3o23b2o17bob2obo4b4o7b4o
18b4o16b4o16b4o13b2o9bobo7bobo6bobobo8bobo14bobo7bobo10b2o7bobo6bobobo
14bo4bo15bobo17bo40b2o3bo12b2o4b2o13bo21bobo17bobo34bo2bo19bo2bo$2b2o
19bo9b2o8bo16b2ob2o6bo3bo4bobobobo54bo4bo44b2o7b2o10bobo5bobo29bobo5bo
bo8bo11bo16b2o9b2o7b2o19b3o16b2o10bo9bo8bo10bobo16b5o4bobobobo3b7o3bo
7bo2bob3obo22b4o7bo2bo36b2o4b2o12b2o4b2o12b2o4b2o21bobo7bobo7bo2bo8bob
o16bo8b2o9b2o8bobo6bobobo15b2o3b2o15bobo15b2o3b2o13b2ob4o14bobo2b2o12b
o2b2obo34b2o3b2o13b3ob3o33b2o18b2o4b2o$23b2o18b2o25b2o3b2o3b2o3b2o45b
4o4b2o4b2o14b4o47b2o5b2o31b2o5b2o8bo12bobo54bo32bo9bo7bobo10bo18bo6b2o
3b2o3bo2bo2bo4b3ob3o3b2obob2o22bo2bo8b2o6b4o7b4o15bo2bo2bo2bo10bobob2o
bobo10bo2bo2bo2bo21bo8b2o9b2o8bobo36bobo7bobo7bo2bo17bo4bo16bobo19bo
14b2obo2bo14bo6b2o11bob2o2bo32bo7bo11bo7bo51bo8bo$132bo2bo26bo2bo104bo
bo11bobo53b2o30b2o10bo7b2o10b2o47bobo54bo2bo6bo4bo14bo2bo2bo2bo10bobob
2obobo10bo2bo2bo2bo50bobo38bo9bo9b2o18bob3o14b3o2bo14b4obo17bo2bob2o
10b2o6bo11b2o4b2o33b2o3b2o13b3ob3o52bo8bo$271b2o12bo99bo68bo56b2o7b2o
2b2o15b2o4b2o12b2o4b2o12b2o4b2o52bo80b2o16bo4b2o13bo2bob2o16b4ob2o12b
2o2bobo13bob2o37bobo17bobo55b2o4b2o$384b2o157b4o16b4o16b4o215bo3b2o14b
2obo37bobo17bobo57bo2bo$543bo2bo16bo2bo16bo2bo196b2o18b3o58bo19bo58bo
2bo$584b2o197b2o20bo138b2o$bo8b2o2b2o5bo11bo6b2o18b2o3b2o4bo3bo8bo6bo
5bo3b2o3b2o14b2o2b2o3b2ob2ob2o11b2o2b2o2b2ob2o4b2o11b2o10bo7b2o12bo5b
2o18b2o8bobo14b2o2b2o7b2o18b2o11b2o5b2o2bo12b2obob2o17b2o8bo8b2o8b2o8b
2o18b2o3b2o4bo5bo3bobo3bobo5bo8bo18bo2bo7b2o7bo2bo5bo4bo6b2o78bo10b2o
7b2o11bo5b2o21bo9bo9b2o10bo5b2o$obo7bo2bobo4bobo7bobobo5b2o18bobobobo
3bobobobo6bobo4bobo3bobobo2bobo2bo12bobo2bobo3bob2obo12bo2bo2bo2bobobo
2bobo11bo10bobo6bo12bobo4bobo18bo2bo5b2obo12bobo3bo7bobo18bo11bo6bo2bo
bo7b2obobob2obo17bobo6bobo7bo9bo10bo18bo2bo2bo3bobo3bobo2b2obobob2o4bo
bo6bobo15b3o2b3o5b2o5b8o2bobo2bobo4bo2bo76bobo8bobo6bo2bo9bobo3bobo20b
obo7bobo7bobo9bobo3bobo$2obo7b2o8bobo6b2o2bo27bobo5bobobobo4b3ob3o3bob
obobo3bobobobo13bo2b2o2bo3bo4bo6b2o5bobo2bobo4b4o14bo8bobobo6bo11b2o7b
o18bobobo7bo11bo6bobo6bobo17bob2o5b2obo7bobo2bo3bobob2o7bob2o16bo7bobo
7bo10bo7bo21b3o6bobobobo6bobo6bobobo3bo2bo2bo12bo3b2o3bo10bo8bo2b2o2b
2o3b3o2b3o74bo2bo6bobo7bo2bo8bobo3bo3b2o17bobo7bobo7bobo9bobo3bo3b2o$
3bo19bo10b2o4b4o17b2ob2o5b2ob2o4bo7bo4bobo6b2ob2o13b2o6b2ob2o4b2o4bo2b
o5bo4bo4bo4bo14bo7bo2bo8bo8b2o9b3o17bo2bo7bob2o7bo8bobo7bo18b2obo5bob
2o7bo2b2o3b2o11b2obo15bo10bo6b2o9b2o7bobo30bobo5b2obobob2o3bobobo3b2ob
ob2o13b3o2b3o3b6o3b8o5b2o4bo8bo71b2ob2o6bobo6b2ob2o8bobo3bo5bo17b2o7bo
bo8b2o9bobo3bo5bo$3b2o17bo17bo2bo36b2o5b2o4bobo45b3o2b3o13b2o2b2o15bob
o5b2o10bo6bobo12bo19b2o7bobo6bo10bobo6bobo19bo5bo49bo10bo9b2o9b2o6bobo
18b3o6bobobobo3bobo3bobo2b2obob2o5bo18bo2bo4bo6bo4bo2bo5b2o2b2o3b3o2b
3o71bo2bo7bobo6bo2bo9bobo4b2o3bo16b2o8bobo7b2o11b2o3bo5bo$22b2o70bo45b
o8bo34b2o18bobo3b2o12b2o34bobo13bo7bobo18b2o3b2o48bo11bobo7bo10bo9bo
16bo2bo2bo3bobo3bobo14bobobo3b2obob2o24b6o13bobo2bobo4bo2bo74bobo6bobo
7bo2bo8bobo7bobo16bobo7bobo7bobo9b2o5b2o3bo$140b2o6b2o55b2o53b2o14b2o
7b2o73bobo10bobo7bo11bo6bo17b2o3b2o4bo5bo15bobobo3bo2bo2bo44bo4bo6b2o
76bo7b2o9b2o8bobo8b2o16bobo7bobo7bobo9bobo7bobo$361b2o11bo7b2o10b2o6b
2o50bobo6bobo28b2o134bobo28bo9bo8b2o9bobo8b2o$455bo8bo29b2o135bo58bobo
$542b2o2b2o15bo2bo124bo$b2o8b2o11b2o5bo8b2ob2o15b2o3b2o4bo5bo4b2ob2o4b
obobo8bo15b2o2b2o5b2o4b2o4b2o5b2o2b2o8b2o18bo5b2o8b2ob2o6bo13bo15bo9bo
10b2o6b2o9bo20b2o10b2o4bo16b2o8bo12b2o11b2o6b2o10b2o11b2o12b2o3b2o3b2o
3b2o6bo20bo16bo2bo19b2o6b2o2b2o2b2o2b2o17bo2bo16b4o17b2o21bo9b2o8b2o6b
2o8bo22bo16bo12b2o7bo14b2o16b2ob2obo18bo20b2o14bobo19b2o18bo19bo17b2ob
2o16b2o17bo2bo18b2o$o2bo6bo2bo11bo4bobo7bob2o2bo13bobobobo3bobo3bobo2b
obobobo2bob3obo3b2obobob2o11bo4bo4bo2bo2bo2bo3b2o6bo2bo8bo2bo16bobo4bo
10bob2o5bobo11bobo13bobo7bobo8bobo6bobob2o4bobo18bo2bo8bo2bo3b3obo6b2o
b2o2bo7bobo11bo12bo6bo2bo9bobo9bobo12bobobobo3bo5bo4b5o4bob2ob2obobo2b
obo2bo12b4o8b2o8bo2bo6bo2bo4bo2bo17bo4bo35bo2bo19bobo7bobo7bobo5bobo8b
3o19bobo3b2o8b3o11bobo6bobo14bo17bobob2o17bobo20bo13bob4o16bo2bo16bobo
16b5o16bobo16bo2bo16b4o17bo2bo$b2obo6bobo6b2o2bo6bobo11b2o15bobo6bobob
obo3bo5bo2bo5bo4bobobobo13b4o6b2o4b2o11bo4bo6bob2obo14bobo6bo9bo8bobo
11b2o14b2obo7bobo7bo10bobo5bobo18bob2o8bob2o6b2o5bo2b2ob2o9bo13bo8b2ob
obo4b2obo7bobobo9bo16bobo6bo3bo4bo5bo3b2obobob2ob4ob4o23bo2bo5bo2b2o2b
o3bo4bo2bo4bo16b6o15b4o14b3o2b3o17b2o7bobo8b2o5bo3b2o9bo17bobo3bo2bo6b
o3b2o8bobo7bo2bo13bobo2bo11bo2bo19bobo14b2o2b3o14bo5bo15b2obo15bobobo
14bo5bo12bo2bobo2bo12bob2obo13b2o4b2o15bo2bo$4bo5b2ob2o5bo2bo9bo28bobo
8bobo6b5o4b5o5bobobobo25b4o4b6o3b6o6bo4bo13bobo8bo9b3o6bob2o7b2o19bo9b
o8bo8b2obobo4b2ob2o14b2obo6b2obo6b2o8b2o12b3o15bo7bobob2o6bob2o4bobobo
8bobo15b2ob2o6bobo6b5o7bobo25b4o7bo2bo4bob2o2b2obobob4obo2b4o37bo4bo
12bo8bo14b2o8bobo7b2o6bo5bo6b2obo16bobo3bobo2bo4bobo2bo8bobo6b2ob2o13b
2ob4o11b3ob3o16bo2b3o11bobo2bo14b2ob2obo14b2o2bob2o12bo2bo2bo13bo2bo2b
o12b3o3b3o11bobo2bobo13bob2obo14b2ob2ob2o$4b2o15b2o10bobo25b2ob2o6b2ob
2o7bo8bo8bo3bo14b4o8bo2bo5bo2bo14bobo4bobo10bobo10bo10bo7bo2bo5bobo19b
ob2o5bo10bo11b2o7bobo13bo2bo6bo2bo6bob3o17b3o18bo8bo9bo2bo4bobo9bobo
17bobo6b2ob2o14b2obobob2ob4ob4o11bo4bo4b2o4b2o3bo2b2o2bo3bo4bo26b2o15b
obo2bobo10bobo6bobo12bobo7bobo7bobo5bo5bo3b2obobob2o14bobo3bobo4bo3bo
2bobo8b2o6bo2bo36bo2bo14bobo5bo12b2o3bo13bob2ob2o12bo2bo3bobo10bob2ob
2obo11b2obobob2o31bobo2bobo13bob2obo13bo2bo2bo2bo$34b2o85bo2bo15bo6bo
4b2o6b2o6b2o10b2o12bo18b2o5bobo21bobo4bo12bo19bobo14b2o8b2o11bo16bo22b
o6b2o10b2o6b2o9bo17bobobobo5bobo6b5o4bob2ob2obobo2bobo2bo12b4o4bo8bo4b
o2bo6bo2bo4b4o19b2o15bobo2bobo10bobo6bobo12b2o7bobo8b2o5bo5bo5bob2o17b
obo4bo4bobo2b2o3bo7b2o8bo2bo13b4ob2o13b2obobo14bobo5bobo11bo3b2o12bo5b
o13bobo3bo2bo11bo2bo2bo13bo2bo2bo12b3o3b3o12bob2obo13b2o4b2o12bo2bo2bo
2bo$122b2o16b2o4b2o4b2o41bobo23bo23bo5bobo11bo19bo54bobo22bo34bobo17b
2o3b2o4bo3bo4bo5bo17bo25b2o4b2o6b2o6b2o2b2o2bo4bo36bo4bo12bo8bo11b2o8b
obo7b2o7b2o3bo6bo19bobo6bo2bobo5b3o7bobo6b2ob2o14bo2bobo14bob2ob2o14bo
5bobo14bo2bobo11b4obo14b2obo2b2o13bobobo14bo5bo12bo2bobo2bo13bo2bo16b
4o15b2ob2ob2o$196b2o54bobo8bobo75bo24bo33b2o28bo5bo4b5o35b4o7bo2bo25bo
2bo17b6o15b4o14b3o2b3o11bobo7bobo7bobo9bobo8b3o15bobo8bo2bo6bo8bobo6bo
2bo21bo36b3o2bo15b3o2b2o13bobo17bob2o16bobo16b5o16bobo17b2o17bo2bo17bo
2bo$253bo9b2o102bo62b2o3b2o6bo37bo2bo7bo2bo24b2o2b2o16bo4bo35bo2bo14bo
8b2o8b2o10b2o11bo14bobo10b2o15bobo8bobo21b2o38bobo14bo40bo2bo17bo19bo
17b2ob2o56bo2bo$366b2o125b2o7b2o2b2o35bo2bo16b4o17b2o75bo28b2o10bo61bo
bo15b2o40b2o118b2o$2o8b2o9bo13b2o5bo17bob2ob2obo5bo6b2ob2o8bo6bo7bo11b
o4bo4b2o2b2o3b2o4b2o3bo4bo3b2o4b2o12b2o9b2o9bo8b2o7bo23b2o4b2o9bo12b2o
6b2o17b2o7b2ob2o8bo6b2o8b2o19b2o7b2o8b2o8b2o8b2o40bo3bo3b2o3b2o4bo5bo
15bo2bo16bo2bo35b2o2b2o15bo2bo37b2o36bo22b2o10b2o17bo9b2o57bo$obo7bo2b
o6bobo7b2o2bobo4bobo16b2obobob2o4bobo6bobo8bobo4bobo5bobo9bobo2bobo4bo
2bo5bo4bo3bobo2bobo2bobo2bobo12bo2bo6bobo8bobo8bo7b3o17b2o2bo5bobo7bob
ob2o5bo2bobo4bob3o16bo8bobobo5b3o7bo8bo19bobo7bobo8bo9bo2bo6bo32bo6bob
obobo2bobobobo3bobo3bobo14b4o14bo6bo13b2o4b2o73bo2bo5b2o7b2ob2o8b2o6b
3o21bo9bo2bo15bobo7bo2bo$bobo7b2obo6bobo6bo2bo6bobobo18bobo7bobo6bobo
8bobo5bo7bo11bo4bo3bo6bo2bo6bo2bobo2bobo4bo2bo15b2obo5bo10bo2bo5bo12bo
16bobobobo5bo7bobobobo3bobobobo3bo5bo14bo9bobobo4bo3b2o5bob2obo5bo17bo
10bobo7bobo7bobobo5bobo17bo5bo5bobo5bobobobo4bobo6bobobobo13b2o4b2o11b
ob6obo12bobo2bobo73b2o2bo4bo2bo5b2obo8bobo4b2o3bo18bo11bo2bo15bo2bo5bo
2bobo$3bo10bo7bobo6b2o8bo2bo18bobo5b3ob3o3b2ob2o5bobobobo4b3ob3o13b4o
4b2o4b2o2b2o4b2o3bob2obo4bob2obo16bo7bo2b2o4b2o3bo4b2o2b2o6bobo17bo2b
2o4b2ob2o5b2obobo3bobo2bo5b3obo15b2o9b2ob2o4b2o3bo5bob2obo3b2o18bo11bo
8bobo7bobobo5b2o16bobo3bobobo2bobo2bo3bobobo5bobo8bobo14bo2bo2bo2bo4b
2o5bo6bo15b4o73b2o5bob2o2b2o8bo2bo5bo7bo2bobo17b2o2b2o4b2ob2o3b2obo8b
2o3bo3bo4bobo$2bo11b2o8bo19b2o18bo5bo7bo3bobo5bobo3bobo5bobo25bo2bo6bo
2bo6bo2bo6bo2bo17bobo6bo2bo6b3o7bo2bo7bobo15b2o11bo10bo5b2o10b2o17bo
20b3o11bo3bo20bo9bo10bobo7bo2bo7b2o14b2obobob2ob3o3b3o5bo6b2ob2o6b2ob
2o14b2o4b2o4bo2bo6bo2bo16bo4bo71bobo3bobobo5b2o3b3ob3o3b2obo2b2o2bobob
obo14b2o2bo2bo3bo2bo5bob2o7bo2b3o3bo7bo$2b2o20b2o44b2o5b2o3bobo5b2o5b
2o5bobo15b4o6bo2bo6bo2bo7b2o8b2o19b2o7b2o7bo9b2o11bo28bobo43bo22bo13b
2o4bo19bo8bobo9bobo9b2o6bobo16bobo16bobobo5bobo8bobo17b4o4b3o2b3o3b2o
2b2o2bo2bo2bo2bo4b4o72bo5b2o4bo3bo4bo2bo5bo2bobo2bo3bobo2bo12bo2bo2b2o
5bo2bo3b2o4b2o3b3o2bo4bo7bo$83bo21bo16bo2bo7b2o8b2o80b2o28b2o43b2o40b
2o20bo8bobo10bo19bo13b2obobob2ob3o3b3o2bobobobo4bobo6bobobobo15bo2bo3b
o3b2o3bo10b4o2b4o2bobo2bobo71bo2b2o5b2o5bo5bob2o2b2o2bob2o5bo3b2o11b2o
2b2o5b2ob2o4bo5bo3bo3b2o5bobo4bo$301bo40bo22bo8b2o10b2o18b2o12bobo3bob
obo2bobo2bo2bobobobo2bobobobo3bobo3bobo22b3o2b3o15b2o6b2o4b2o72bo2bo7b
2o2b2o4b2ob2o7bo8b3o18bo4bo2bo7bo5bo3bo2bo7bobo2bo$300bo43bo18bobo55bo
5bo5bobo6bo3bo3b2o3b2o4bo5bo25bo2bo13b4o2b4o83b2o8bo2bo16bobo10bo16bo
6bo2bo6b2o4b2o4bobo8bo2bo$300b2o41b2o18b2o69bo59b2o14bo2bo2bo2bo21b2o
4b2o66b2o16b2o28b2o6b2o9b2obo7bo10b2o$obo8bo11bo10bo6bo20bo9bo10bo9bo
10bo15b2o6b2o11b2o2b2o3b2o4b2o2b2o6b2o10b2o8b2o8b2o8b2o14bo13b2o9b2o8b
2o10bo3b2o7bo30b2obo9b2o15b2o22b2o7b2o11bo7b2o40bo36b2obo2bob2o12b2o2b
2o14b2o4b2o11bo6bo11b2o6b2o11b2o4b2o14b2o37bo32b2o5bob2o12bo26b2o18b2o
13b2o5b2o17bo20bo16bo17bo3bo18bo16b2ob2o17b2o16bo4bo17b2o$2obo6bobo9bo
bo8bobo4bobo18bobo7bobo8bobo7bobo8bobo15bo6bo11bobo2bobo2bo6bo2bo2bo2b
o2bo10bo10bo8bo9bo14bobo13bo8bo2bo6bo2bob2o5bobo3bo6bobo15b2o13bob3o8b
o15bo23bo8bo10b3o7bo19b2ob2o5b2o3b2o3b5o5b2ob2o5bobobo14bob2o2b2obo12b
o4bo5bo2bo5bo6bo13bo2bo13bo2bo2bo2bo11bo6bo14bobo9b2o16b2o6bobob2o16b
2o10bobo18b3o26bo19bo14bobo5bo16bobo18bobo15b3o14bobobobo16bobo14bobob
obo15bo2bo14bobo2bobo16b2o$3bo7bobo7bo2bo5bobo2bo4bo2bo17bobo7bobo8bob
o7bobo8bobo14bo8bo3bo2bo3bo6bo4bo2bo5b3o2b3o12bo8bo11bo8bo12bobo13bo
10b2obo6bobobo5bo2bo2bo6bobobo11bobobo2b2o8bo5bo6bo17bo24bo7bo8bo11bo
18b2ob2o4bo2bobo2bobo5bo5bobo5bob3obo17b2o6b2o4b2o3bo2bo6b4o7bo2bo14b
6o14b6o14bo4bo18bo7bo2bo6b2ob2o5bo7b2obo18bo8b2o3bo16bo3b2o4b2o19bo19b
o15bo2b3o18b2o18b2o14b2o3bo12bo2bobo2bo14bobobo12bo2bobo2bo14b4o13bo2b
o2bo2bo$3bobo7bo6bo3b2o4b2o3b2o4b2obo15b2ob2o5b2ob2o6b2ob2o5b2ob2o4b2o
bobob2o12b3o2b3o4b4o4b6o4b6o23b2o8b2o9b2o9bo11b2o14bobo11bo5b2obo2bo3b
o3bobo4bo2bo2bo12b2o2bobobo4b2obo5bobo6b3o13b2o23b2o8bo8bo11bo26b2obob
ob2ob7o3bo5bo3bo5bo13bob2o2b2obo2bo2b2o2bo2b2o2b2o3b2o4b2o4b2o2b2o52b
2o4b2o11b2o2b2obo5bobo2bo4bobob2o2bo2bob2o7bo2bo14bo8bo6bo5bo9b2o2bo4b
obo17bobo16b3obo14bobo36bo19bo2b2obo13b3ob3o14bo2bo2bo11b3o3b3o12b2o4b
2o12b2ob2ob2o14b6o$4b2o6bo7b2o22bo15bo3bo6bobo8bobo5bo5bo3bobo3bobo14b
o2bo4b2o4b2o24b4o15b2obo6bob2o7b2o8bo8b2o17bobo10bob2o6b2o4b2o3bo4bobo
bo19b2o6bob2o6bobo8b3o10bo13bob2ob2ob2o2bo8b2o9bo8bobo17b5o7bobo14b7o
4b5o14b2obo2bob2o3b2o2b2o5b2o4bo2b4o2bo5b2o17b2o18b2o16bob2obo12bo2bob
o2bo3bobo4bo2bo2bo5b4ob2o4b3ob3o14b2o7bo5b2o4bobo6b2o2bobo3bo16bob3ob
2o12bobo4bo15bobo15b2ob4o12bobob4o13bobo2bob2o31bo3bo3bo30bobob2obobo
13bo2bo16bo4bo$11bo32b2o15bobo6bo3bo5bo5bo4b5o5bo5bo16b2o4bo2bo2bo2bo
3b2o8b2o8bo2bo15bob2o6b2obo7bo2bo7bo6bobo18bobo10bo2bo22bobo27bo11bo
12bo9bo13b2ob2ob2obo3bo9b2o8bo6bobo17bo5bo3b2obobob2ob7o48b2o5b2o2b2o
3b2o4b2o4b2o2b2o15b2o18b2o16bob2obo13bob2o2b2o2bobo3bobo2b3ob3o13bo2bo
13bob2o2bob2ob2o5bo5bo2bo5bobo2b2o3bob2o2b2o10b2o7b2o9b2obo3bob2o13bob
o13bobobo2bo2bo10b2obo2bo12b2obo2bobo12b3ob3o12bob3ob3obo9b3o3b3o11bob
ob2obobo13bo2bo13b2obob2obob2o$11b2o47b2ob2o5b2ob2o5b2o3b2o6bo36bobo4b
obo3b2o7bo2bo49b2o8bo5b2o21bo11b2o24bo27bo13b3o8bo8b2o26b2o9bo10bo5bo
20b5o4bo2bobo2bobo5bo3b7o4b5o27b2o2b2o4bo2bo6b4o7bo2bo53b2o4b2o13bo8bo
4bobo6bo2bo4b2ob4o5bob2o10b2obo2b2obobo6bo4bob2ob2o3bo2b2o4bobo2bo2bo
13b2ob3obo12bo4bobo10b3o2bo14bo2bo2bobobo12bo2bob2o11bob2o2bo11bo2bobo
2bo12bo3bo3bo10bo2bobo2bo12b2o4b2o12b2ob2ob2o11b2obob2obob2o$131bo6bo
14b2o61bobo24bo66b2o14bo8b2o7bo27bo11bo10bo5bo29b2o3b2o3b5o4bo5bo3bo5b
o25bo2b2o2bo2bo4bo5bo2bo5bo6bo12b6o14b6o14bo4bo15bobo6bo2bobo4b2obobo
5b2obo2bo4b2obobo13b2o6bo3b2o4bobo2bo2bob2o3bo3bo2bo2bobo15bobo16bob3o
12bo5bobo15b4ob2o13b4obobo10bo3b2o13bobobobo14bo2bo2bo12bobobobo15b4o
13bo2bo2bo2bo13bo4bo$217b2o24b2o100bo28bo10bo6b3o7bo18b2ob2o17bo8bobo
5bob3obo25b2o4b2o2b2o2b2o14b2o4b2o13bo2bo13bo2bo2bo2bo11bo6bo15b2o7bo
2bo5b2ob2o9bo11bo15bo7bobo5bo2bo2bobo4b3o4b2o2b2obo16bo19bo15b2o5b2o
41bo12b3o16bo3bo16bobobo14b2ob2o16bo2bo14bobo2bobo14b6o$344b2o27b2o9b
2o6bo8b2o18b2ob2o25b2ob2o5bobobo75bo6bo11b2o6b2o11b2o4b2o25b2o20b2o25b
o9b2o6b2ob2obo5bo12bo18bo19bo38b2o18b2o19bo38bobo37b2o16bo4bo$541b2o4b
2o114b2o18bo2bo16bobo18b2o18b2o38bobo16bobo59bo79b2o$683bobo17b2o80bo
18bo140b2o$684bo8$93bo26b2o4b2o23b2o4b2o21bo32b2o57b2o3b2o26bo25bo2b2o
58bo25b2o9b2o17b2o3b2o23b2o4b2o24bo4bo27b2o25b2o4b2o26bo30b2o23b2o30bo
29b2o32bo55bo28b2o3b2o26bo26bo4bo$3b3o15b3o20b3o13b3ob3o24bobobo24bobo
2bobo22bo2bo2bo2bo20b3o29bo2bo24b2ob3o26bo5bo24bobobo23bobobo25b3o28bo
bobo23bo2b2o3b2o2bo17bobobobo23bobo2bobo23bobo2bobo21b2o2bo2bo2b2o19bo
2bo2bo2bo25b3o28bo25bo29bobo24b2o3bo30bobo28b3o24b3o26bobobobo25bobo
24bobo2bobo25bo4bo$bo38b2o51bo28bo2bo24b2obo2bob2o23bo28bob2o24bo32bob
obo23bo5bo23bo28b3o27bobobobo24b2o2bobo2b2o50bo2bo25bobo2bobo21bo3bo2b
o3bo19b2obo2bob2o28bo24b2obo2bo19bo32bo2bo23bobobo25b3obobobo22bo30b2o
3bo27bobo25b3ob3o21bo2bo2bo2bo23bobo2bobo$bo3bo14b2o2bobo13bobob2o15bo
bobo24b2obob2o25bo2bo27bo2bo25bo28b2obob2o23bo3bo55bo5bo25bo57bobobobo
27bobo22bo2bo2bo23bobo2bobo22b2obo2bob2o21b3o4b3o23bo2bo26b3o2bo25b2ob
3o19b2o29b2o4bo83bobobob2o22bobo2b2o22b2o3bobo3b2o19bo7bo19bo3bo2bo3bo
22bobo2bobo$bobo21bo34bo5bo26bo29b2o28b4o25bo2bo24bo4b2obo27bo24bobobo
25bobobo27bo57bobobo25b2o2bobo2b2o19bo3bo24b2o4b2o25b4o54b3o4b3o22bo3b
ob2o21bo4bo52bo4b2o25bobobo24b2o5bo22bobo27bo2b2o2b2o20bo4bobo4bo19bo
2b3o2bo20b3o4b3o21b2ob2o2b2ob2o$3bo2b2o13bo4b2o14bobo15b2o3b2o25bobo
56bobo2bobo24b2obo24b2o5bo22b3ob2o23bo5bo26bo31bo57bo26bo2b2o3b2o2bo
17bo2bo2bo53b2obo2bob2o50bobo6bobo21bo3bo24b2o3b2o52bo2bo26bo3b2o61bo
21b2o2b2o2bo22b4o3b4o19b2obo3bob2o49bo2bo6bo2bo$5bo17bo17bo51bo57b2o4b
2o27bo26bob3o52b2o3b2o54bobobo84b2o9b2o78bobo2bobo22b3o4b3o19bobo6bobo
18b2obo3bo25bo4bo53bobo26b2o29bo5b2o23bo28b2o2bobo51bo3bo3bo3bo49b3o6b
3o$23bobo15b2o143b2o25bobo115b2o2bo114bobobobo54bobo2bobo21bo3bo2bo3bo
19b3o4b3o20bo2b3o23b3ob2o57bo94bobo21bo3b2o23b4o3b4o19b2obo3bob2o19b3o
4b3o$214bo235b2o3b2o55bo4bo22b2o2bo2bo2b2o22bo2bo23bo28bo2bob2o115bobo
bob3o22b2obobobo22b3o24bo4bobo4bo19bo2b3o2bo19bo3bo2bo3bo$545b2o24b2ob
o2bob2o21b3o28bo118bobo35bo24bo24b2o3bobo3b2o19bo7bo20bo2bo2bo2bo21b3o
6b3o$571bo2bo2bo2bo23bo27b2o118bo29b3o60bobo25b3ob3o22bobo2bobo21bo2bo
6bo2bo$572b2o4b2o263bobobobo25bobo25bo4bo23b2ob2o2b2ob2o$843b2o3b2o26b
o57bobo2bobo$934bobo2bobo$935bo4bo7$2b3ob2o16b3o13b2o3b3o$7bo12b2o18bo
$2bo3bo13bobob2o15bobob2o2$obob3o15bobo18bobo$2o40bo$20bobo19b2o$20b2o
2$61b2ob2o84b2o10b2o46b2o2bo25b2o3bo29b2o23b2o2bo62b2o27bo23b2o3bo3b2o
24bo5bo19b2o4b2o21b2o16b2o14b2o4b2o20b2o4b2o24b2o28b2o25bo3bo28b2o62b
2o28bo29bo26bobo25b2o5b2o22bo4bo27b2o4b2o$61bo3bo24b3o7b3o17b3o2b3o22b
obo2bo2bo2bobo16b3o27bobobo25bo4bo24b3obobo23bobobo28b3o30bob3o23bobob
o21bobobobobobo24b2o3b2o18bo2bo2bo2bo20bobo2bo2bo2bo2bo2bobo13bo2bo2bo
2bo18bo2bo2bo2bo22bo2bo26bo2bo23bobobobo26bo2bo29b3o21b2o7bo26bobo28bo
bo26bo26bo7bo21bobo2bobo25bo2bo2bo2bo$62b3o29bo3bo53bo2b4o2bo52bo26bob
o2bo57bo26bo34bo4bo20bobobobobo24bo25b2o2b2o3b2o2b2o14b2obo2bob2o22bo
2b4o2b4o2bo15b2obo2bob2o18b2ob4ob2o22bobobo26bobo24b2obo2bo25bob2o53bo
bobobobo25bo5bo26bobo23b2obob2o26bobo24bob4obo25b2ob4ob2o$91bobobobobo
bo19bob2obo23bobo2bo2bo2bobo17bob2o27bo58b2o3bo25bo28bo3bo25b2obo3b2ob
o18bobobobobobo21bo5bo21bob3o2bobo2b3obo16bo2bo23bobo2bo2bo2bo2bo2bobo
16bo2bo22bobo2bobo21b2o2b2obo22bo2bob2o27b2o24b2o2bob2o24bobo2b2o24bo
27bobo30bobo3bo20bo3bo3bo19b2o3b2ob2o3b2o16b2o8b2o26bo2bo$90bo4bobo4bo
17bo6bo22b2o10b2o16bo4bo27bo2b3o23bo2bobo56bo26bobo3bo22bob2o3bob2o20b
obobobobobo22bobo23bo6bobo6bo13b2ob4ob2o20b2o16b2o11b5o4b5o16bo2bo2bo
2bo19bo6bobo20bob2obo25b2o27bo5b2obo21bobo28bo4b2o31b2o21bobo26bo7bo
19bo4bo3bo4bo15bo4b4o4bo25bo2bo$62b3o25b2o2b2ob2o2b2o17b2o4b2o52b2o3bo
28bo28bo4bo23bo3b2o24bo30bo3bobo20bo4bo25bobobobobo22bo5bo22b7ob7o14b
2obo2bob2o50bo3bo6bo3bo14bo3bo2bo3bo18bob2o3b2obo19bo3bobo2bo20bo2bob
2o23bob2o5bo21bo7bo50b2o39b2o17bo11bo20b2ob3ob2o19b2obo4bob2o23b2obo2b
ob2o$61bo3bo121bo27bobo25bo3b2o53bobobo28bo3bo21b3obo27bobobo27bo57bo
2bo53bo3bo6bo3bo15b3o4b3o20bobo6bo20b3obobob3o19bobobobo23b2obo2b2o22b
o9bo20b2o4bo33bo18b2o28b3o5b3o20b2obo3bob2o19bobob2obobo19b2o2bob2o4b
2obo2b2o$60bobobobo116bobobo30bo53bobob3o23bo2b2o32bo23b2o30bo24bobobo
bobobo20b7ob7o14b2obo2bob2o51b5o4b5o17bo6bo22bob2o2b2o23bo2bobo3bo19bo
3bo26b2obo26bo7bo24bo24bo28bo11b3o15bo11bo22bo3bo22bobob2obobo18bobo2b
2o8b2o2bobo$61bo3bo117b2o2bo29b2o53b2o61b3o82b2o3bo3b2o19bo6bobo6bo13b
2ob4ob2o56bo2bo22bo6bo23bobobo29bob2obo50bo2bo32bobo20bobobobobo31b2o
17b3o11bo16bo7bo21b2obo3bob2o18b2obo4bob2o17bo5bo8bo5bo$450bob3o2bobo
2b3obo16bo2bo56b2obo2bob2o18b3o4b3o23bo2bo27b2obo2bo52b2o27b2o2bobo21b
o7b2o21b2o39b2o17bo3bo3bo22b2ob3ob2o18bo4b4o4bo17b5o10b5o$23bo18bob2o
405b2o2b2o3b2o2b2o14b2obo2bob2o53bo2bo2bo2bo17bo3bo2bo3bo23b2o29bobo
112b2o36bobo21b2o28b2obob2o20bo4bo3bo4bo16b2o8b2o19bo16bo$3b3ob2o12b3o
18b2obo409b2o3b2o18bo2bo2bo2bo54b2o4b2o19bo2bo2bo2bo55bo2bo84b3o56bo5b
o30bobo23bo23b2o3b2ob2o3b2o18bob4obo21bo16bo$8bo11bo434bo5bo19b2o4b2o
83bobo2bobo57b2o146bobo26bo3bobo24bobo28bobo24bobo2bobo20b5o10b5o$3bo
3bo12b6o16b3o526b2ob4ob2o204bo30bobo54bo7bo22bo4bo20bo5bo8bo5bo$26bo
14bo3bo525bo2bo2bo2bo235bobo54b2o5b2o48bobo2b2o8b2o2bobo$bobob3o14bo3b
o14bo3bo526b2o4b2o237bo113b2o2bob2o4b2obo2b2o$o21b2obo16bobo891b2obo2b
ob2o$2o24b3o11bobobobo892bo2bo$28bo11b2o3b2o892bo2bo$936b2ob4ob2o$936b
o2bo2bo2bo$937b2o4b2o29$3b2o55b2ob2o60b2o53b2o62bo60bobo54bo177b2ob2o
2b2ob2o49b2ob2o58b2o2b2o56bo46bo$b2o3bo53bo3bo59bo2bo52bobo3b2o55bobo
57b3ob3o52bo3b3o51b3o117b2obo4bob2o48bob2o2bo57bobo2bo55bobo45bobo$4o
2bo54b3o57bo2bo2bo2bo53bo2bo52b2o2bo2b2o53bo3bo3bo49bo2bo180bo2bo52b2o
4bo61bo53b2o2bo2b2o40bo$3bobo56bo57bobobo2bobobo50bo57bob2o4bo53b2o2bo
b3o54bo2b2o170b3o6b3o49bo3bo59bo56bob2o4bo45b2o$3bo58bo58bo2b4o2bo52b
2obo55b2ob2o53b2o2b3o4b2o47b2o2bo175bo4b2o4bo48bo4b2o53b2o5bobo2b2o50b
3ob2o40b2o$bobobo55b3o60bo2bo55b2o55bo4b2obo52bo2b2o3bobo54bo2bo173bo
4bo51bo2b2obo53bo2bobo5bobo47bo6b2obo44bo$obobobo118b2o54b2o2bobo52b2o
2bo2b2o52bobo3b2o2bo49b3o3bo175bo4bo52b2ob2o55bo7bo50bobobo3bobobo39bo
bo$obobobo174b2o5bo54bobo54b2o4b3o2b2o54bo172bo4b2o4bo112bo7bo48bob2o
6bo42bo$bo3bo55b3o123b2o55bo57b3obo2b2o229b3o6b3o108bobo5bobo2bo49b2ob
3o$60bo3bo237bo3bo3bo233bo2bo112b2o2bobo5b2o48bo4b2obo$60b2ob2o238b3ob
3o230b2obo4bob2o116bo53b2o2bo2b2o$305bobo232b2ob2o2b2ob2o113bo59bobo$
664bo2bobo56bo$664b2o2b2o2$138bo4bo646b2o$137bobo2bobo644bo2bo$136bo2b
o2bo2bo642bobobo$136bobo4bobo648bo$135b2obob2obob2o639b2o7bo$136bobob
2obobo639bo8bobo$136bo2bo2bo2bo639bobo8bo$137bobo2bobo641bo7b2o$138bo
4bo643bo$789bobobo$789bo2bo$790b2o4$90b2ob2o57bo4bo175bo121bo117b2o6b
2o54bo55bo10bo95b2o2b2o$90bo3bo55b2o6b2o172bobo118bobobo115bobo4bobo
53bobo53bobo8bobo94bo2bobo$91b3o58b2o2b2o175bobo115bobobobobo177bo53bo
2bo8b2obo94bo$151b2o4b2o171b2obo118b2obob2o111b2o3bob2obo3b2o104bo4b2o
b2ob2o2bobo96bo$91b3o57b2ob2ob2o174bob2o113bo4bo4bo109bobobo6bobobo49b
5o51b2o4b2o3bo2b2o93bobo2bo$90bobobo59b2o175bobo117b4ob4o115b2o2b2o53b
obo3bo52bo2b2o3bob2o95b2o2b2o$90b2ob2o55bo2bo2bo2bo172bobo115bo4bo4bo
111bo10bo47bo2b2o4bo2bo49bobo2b3obobo$91bobo57bobo2bobo174bo118b2obob
2o115bo6bo48bobobo5bobobo49b2o3bobo$90bo3bo56bo6bo292bobobobobo114bo6b
o49bo2bo4b2o2bo49b2obo3b2o2bo$90bo3bo358bobobo114bo10bo50bo3bobo52bo2b
2o3bob2o$91b3o361bo119b2o2b2o54b5o56bobo3b2o$570bobobo6bobobo107bobob
3o2bobo$91b3o476b2o3bob2obo3b2o51bo55b2obo3b2o2bo$90bo3bo541bobo52b2o
2bo3b2o4b2o$90b2ob2o478bobo4bobo54bo52bobo2b2ob2ob2o4bo$573b2o6b2o108b
ob2o8bo2bo$692bobo8bobo$693bo10bo13$2bo30bobo27bo29bo30b2o54b2o58b2o
119bo$2bobo26b2o2bo25bobobo26bobo28bo2bo53bobo57bobo118bobo$o4bo27b2o
2bo25bo29bo26b2o2b2o2b2o230bobo$6o24b2o28b2obob2o23b2obob2o23bo8bo52bo
bo57bobo117bo$36b2o25bo29bo27bob4obo56bo57b2o$2b2o14bo12bo30bobo26bobo
bo26b2o2b2o56b2o$2b2o14bobo12bobo56bobo26b2o4b2o$16bo16bo59bo27bo2b2o
2bo$21b2o$15b2o104bob4obo$21bo98bob2o2b2obo$17bo102b2o2b2o2b2o$16bo2bo
bo101bo2bo$16b2o2b2o102b2o2$257b2ob2o$256bobob2o$255bo2bo$255b2o3b2o$
258bo2bo$255b2obobo$255b2ob2o4$16bo$16bo3b3o$15bo2bo$19bobo$15bobo4bo$
2b2o11b2o4b2o10b2o28bo30bo115b2o58b2o$bo2bo27bo2bo25bobobo25b2obob2o
112bobo57bobo122b3o$2bobo28bobo25bobobo24bo3bo3bo293b2o$o30bo28bobobob
o23bobobobobo113bobo57bobo117bo3bob2o$b5o30b2o24bobo26bo2bo2bo295b2ob
2o$o29b2o28b2obob2o26bobo118bobo57bobo115b2ob2o$2bobo31bo26bo153bo57b
2o113b2obo3bo$2bo29bobo27bobo151b2o178b2o$34bo357b3o22$2o246bo115b2o$o
3b2o234b3o3bo2b2o112bobo$bobobo240bo118bob3o7bo$241b2obo3bo113b2obo2b
3o4bobo$b2o2bo359bo13bo$3bo2bo235bobobobo115bo9b6o$5b2o359bo5bo$242bo
3bob2o117bo4bo3b2o$244bo122bo3bo6bo$240b2o2bo3b3o111b2o5bo5bo$242bo
121bo5bo5b2o$361bo6bo3bo$362b2o3bo4bo$367bo5bo$360b6o9bo$360bo13bo$
362bobo4b3o2bob2o$362bo7b3obo$374bobo$374b2o11$270b2ob2obo$271bobob2o$
270bo2bo$270b2o3b2o$273bo2bo$270b2obobo$270bob2ob2o24$3bo$2bobob2o$bo
2bobobo$o4bo2bo$obob2obo$b2obobo$5bo24$39b2o$33bo3bo2bo$32bobo2b2o$31b
o2b3o2b4o$30bo4b2o2bo2bo$30b4o4b2obo$34b2o2bobo$32bo2bo3bo$32b2o22$5b
2o$3obobo2$bobo2bo$o4bo$2o3bo10$19bob2o$19b2obo2$19b3o$15b2obo3bo$15b
2obo3bo$18b2o2bob2o$18bobobob2o$19b3o2$18bob2o$18b2obo4$31b2o$31bobo$
33bo$32b2ob2o$30bo4b2o$30b2obo$33b4o$30b2obo2bo$30b2ob2o$33bo$33bobo$
34b2o19$6b2o$3o2bobo2$bob2o2bo$o5bo$2o4bo25$32b2o8bo$31bobo6bobobo$33b
ob2obobobo$30b2obobo3b2obob2o$33bo2bo5bo$32bobo7b2o25$14bo$12b3o$11bo$
11b2o$2o$bo6b3o$bobo7bo$2b3obo3b2o$4b2ob2o2b3o$4b2o6b2o$11bo$7b2o2b2o
2b2o$7bobo5bobo$9bo7bo$6bo2bo7b2o$6bo$7bo$4b3o$4bo12$41b2o$41b2o3$40b
3o$39bo$40bo3bo$37b3o2b2obo$36bo8bo$36b2o7bob2o$30b2o14bo4bo$30b2ob2o
12bo4bo$34bobo9b3o3bo$35bobo7b2o4bo$37bo8bo$37bobo3b3o$38b2o2bo$41bobo
$41b2o$41b2o$40b2o$40b2o$40b2o8$4b2o$4b2o2$4b4o$3bo2bobob2o$3bobo2bob
2o$2obo3b2o$2obo4bo$4b4o2$6b2o12bo$6b2o11bobo2$17bo3b2o$16bo5bo$17bobo
$19b2o6bo$27bo$13bo5b2o4b3o$13bo11b2o$11b3o7b2o2b2o2b3o$11b2o6bob2o4b
3o$11b2o2b3obobo5b3o$13b3o$13b3o6bo$21bobo2$19bo3b2o$18bo5bo$19bobo$
21b2o11b2o$34b2o2$34b4o$33bo2bobob2o$33bobo2bob2o$30b2obobo2bo$30b2obo
4bo$34b4o2$36b2o$36b2o!

We could potentially debloat the main collection by transferring the part of the description describing symmetry types to the description of this file instead, as well as removing some of the examples.

Ideally I want some more small examples of the rarer symmetries (at p2, or p4 for the 90-degree rotation symmetries) so that we have at least four per symmetry type. Interesting examples for each are hard to come by, so we might not hit this number for all of them, but the above is what I've managed so far. (LifeViewer labels will also need adjustment, of course, but that's low priority for now.)

Posted: **August 15th, 2024, 8:31 am**

EDIT: I'll have to check the following information is still accurate.
Update these two patterns:

Code: Select all

#N single-cell-slow-ship.rle
#O "AforAmpere", 25 June 2024
#C
#C In this non-isotropic B0 rule, a single cell will translate to the
#C right at a rate of one grid space per 790 generations.
#C
#C As of 2024, this is the current record holder for the slowest
#C spaceship in a 2-state, range-1 rule with only one cell.
#C
#C Reference:
#C https://conwaylife.com/forums/viewtopic.php?p=188479#p188479
x = 1, y = 1, rule = MAPhhPAngATJAQAQhUPOSH9BAEEGA6Djxd2CgMRAHM/fSoAAwIiEAcASA4AGTZwL7f/UR4PTxN/BCAWAxEPERNBAA
o!

Code: Select all

#N 4c273954-slow-ship.rle
#O Connor Steppie, 6 February 2019
#C
#C The following is a spaceship which moves orthogonally with a
#C displacement of four cells every 273 954 generations, or
#C approximately one cell every 68488.5 generations.
#C
#C This was the slowest known spaceship, excluding spaceships 
#C made with universal construction technology, rules with
#C adjustable-speed spaceship families, or custom rules specifically
#C created to harbor slow spaceships, until July 2024 at the
#C latest, when a 2c/4458264 spaceship was discovered in a
#C a range-1 isotropic rule.
#C
#C References:
#C https://conwaylife.com/forums/viewtopic.php?p=69941#p69941
#C https://conwaylife.com/forums/viewtopic.php?p=150128#p150128
x = 100, y = 100, rule = R45,C2,S2884-4922,B2500-4973
40b20o$36b9o10b9o$34b7o5b8o5b7o$32b6o6b12o6b6o$30b6o6b16o6b6o$28b6o5b
22o5b6o$27b5o5b26o5b5o$25b6o3b32o3b6o$24b5o4b34o4b5o$22b6o3b38o3b6o$
21b6o2b42o2b6o$20b6o2b44o2b6o$19b6o2b46o2b6o$18b6ob50ob6o$16b7ob52ob7o
$15b7ob54ob7o$15b6ob56ob6o$14b6ob58ob6o$13b6ob60ob6o$12b6ob62ob6o$11b
6ob64ob6o$10b6ob66ob6o$9b6ob68ob6o$9b82o$8b84o$7b5ob74ob5o$7b4ob76ob4o
$6b4ob78ob4o$5b90o$5b43o4b43o$4b4ob34o14b34ob4o$4b37o18b37o$3b37o20b
37o$3b3ob32o22b32ob3o$3b34o26b34o$2b4ob29o28b29ob4o$2b33o30b33o$2b32o
32b32o$b33o32b33o$b32o34b32o$b31o36b31o$b31o36b31o$31o38b31o$31o38b31o
$31o38b31o$30o40b30o$30o40b30o$30o40b30o$30o40b30o$31o38b31o$31o38b31o
$31o38b31o$31o38b31o$3ob27o38b27ob3o$3ob28o36b28ob3o$b3ob27o36b27ob3o$
b3ob27o36b27ob3o$b2o3b27o34b27o3b2o$b3o2b28o32b28o2b3o$b3o3b27o32b27o
3b3o$2b2o3b28o30b28o3b2o$2b3o2b29o28b29o2b3o$2b3o3b29o26b29o3b3o$3b3o
2b30o24b30o2b3o$3b3o3b30o22b30o3b3o$4b3o2b32o18b32o2b3o$4b3o3b32o16b
32o3b3o$5b3o2b34o12b34o2b3o$5b3o3b78o3b3o$6b3o3b76o3b3o$6b4o2b76o2b4o$
7b4o2b74o2b4o$7b4o3b72o3b4o$8b4o2b72o2b4o$9b4o2b70o2b4o$9b5o2b68o2b5o$
10b5o2b66o2b5o$11b6ob64ob6o$12b6ob62ob6o$13b6ob60ob6o$13b7ob58ob7o$14b
7ob56ob7o$15b7ob54ob7o$16b7ob52ob7o$17b7ob50ob7o$18b7ob48ob7o$19b7ob
46ob7o$20b8ob42ob8o$22b7ob40ob7o$23b8ob36ob8o$24b8o2b32o2b8o$26b8o2b
28o2b8o$27b9o2b24o2b9o$29b10o2b18o2b10o$31b10o2b14o2b10o$33b34o$35b30o
$38b24o$41b18o$48b4o!

Here's another candidate:

Code: Select all

#N two-cell-slow-ship.rle
#O "AforAmpere", 9 August 2024
#C
#C In this non-isotropic rule, two spaced cells will translate
#C upwards at a rate of one grid space per 2765 generations.
#C
#C As of 2024, this is the current record holder for the slowest
#C spaceship in a 2-state, range-1, non-B0 rule with two cells.
#C
#C Reference:
#C https://conwaylife.com/forums/viewtopic.php?p=191669#p191669
x = 3, y = 1, rule = MAPBTLfc2Ai8i8UK5Q1gWgZoDJA66gxIUQMSZrCJAISZwQRRvaIBELhsBYg/swVwWyBUAiHMJlRAK6KFTDBxABCqA
obo!

And another:

Code: Select all

#N foamy-cell-slow-ship.rle
#O "NimbleRogue", 30 July 2024
#C
#C This spaceship from the rule "Basilisk" moves at a speed of
#C 2c/4458264 orthogonal, which simplifies to c/2229132.
#C
#C As of 2024, this is the current record holder for the slowest
#C spaceship in a 2-state rule, excluding adjustable spaceships.
#C
#C Reference:
#C https://conwaylife.com/forums/viewtopic.php?p=190921#p190921
x = 55, y = 9, rule = B3-cek5ci6ak7c/S2aei3cejk4eijkrw5cnqry6-e78
4b2o30bo$4b2o30bo$15b2o3bo$55o$obobobobobobobobobobobobobobobobobobobo
bobobobobobobobo$55o$15b2o3bo$4b2o30bo$4b2o30bo!

Posted: **August 26th, 2024, 3:05 am**

You may combine this with Patterns/Other-Rules/dragon-curve-generator.zip if this is ok to add into Golly

islptng wrote: August 26th, 2024, 2:46 am

Code: Select all

x = 4, y = 1, rule = KochCurve
BHFI!

@RULE KochCurve

Aug 26,2024 by islptng

@COLORS
0   0   0   0 # blank
1 255 255 255 # path
2   0 255 255 # start left
3   0   0 255 # start right
4 128 128 128 # signal tail
5 255   0   0 # signal right
6   0 255   0 # signal left
7 255 255   0 # signal read
8 128 128   0 # signal tail+finish
9 255   0 255 # arm head
10 64  64  64 # smoke
11 128  0 128 # pre-arm
@TABLE
n_states:12
neighborhood:hexagonal
symmetries:rotate6
var a = {0,1,2,3,4,5,6,7,8,9,10,11}
var b = a
var c = a
var d = a
var e = a
var f = a
var i = {1,2,3,4,5,6,7,8,9,11}
var j = i
var t = {5,6}
4,7,0,1,0,0,0,6
4,1,7,0,0,0,0,5
4,2,a,b,c,d,e,5
4,3,a,b,c,d,e,6
2,5,a,b,c,d,e,3
3,6,a,b,c,d,e,2
5,2,a,b,c,d,e,8
6,3,a,b,c,d,e,8
t,9,0,0,8,0,0,7
t,7,a,b,10,c,d,8
11,8,a,b,c,d,e,11
1,i,0,0,7,a,b,7
1,i,0,7,0,0,0,7
1,7,i,0,0,0,0,7
1,i,a,b,t,0,0,t
1,i,0,0,0,t,0,t
1,i,t,0,0,0,0,t
1,10,10,10,0,t,0,t
t,8,a,b,c,d,e,8
t,a,b,c,d,e,f,4
7,a,b,c,d,e,f,4
4,a,b,c,d,e,f,1
8,a,b,c,d,e,f,1
11,a,b,c,d,e,f,9
9,t,a,b,c,d,e,t
0,0,9,0,a,b,c,10
9,a,b,c,d,e,f,1
0,i,1,9,0,0,0,10
10,10,1,10,0,0,0,11
0,4,5,10,0,0,0,11
0,7,5,10,0,0,0,11
10,10,6,0,0,0,0,11
10,a,b,c,d,e,f,0

Posted: **February 22nd, 2025, 11:03 am**

Before the next update: should I compile a list of things that didn't get added or updated as requested in version 4.3?

Posted: **February 22nd, 2025, 3:52 pm**

muzik wrote: February 22nd, 2025, 11:03 am Before the next update: should I compile a list of things that didn't get added or updated as requested in version 4.3?

Probably a good idea. You've mentioned several things, so theoretically I know about those -- but a good checklist would definitely help.

Posted: **February 22nd, 2025, 4:37 pm**

dvgrn wrote: February 22nd, 2025, 3:52 pm
muzik wrote: February 22nd, 2025, 11:03 am Before the next update: should I compile a list of things that didn't get added or updated as requested in version 4.3?
Probably a good idea. You've mentioned several things, so theoretically I know about those -- but a good checklist would definitely help.

Off the top of my head, just so we've got everything important in the same place:

First off, all of the Unusual-Growth-Rates patterns were omitted, so those will need to be included.

To account for the above change, the description of Patterns/Non-Totalistic/Unusual-Growth-Rates/whitespace-puffer.rle will need to be changed so that it mentions takagi-growth.rle, as this file would be introduced to Golly's library as part of Unusual-Growth-Rates, and there'd be no need to send readers to the forums to find the mentioned pattern.

As per this post, the file Patterns/Non-Totalistic/MarBlocks/five-margolus-media.rle will need to be changed to Patterns/Non-Totalistic/MarBlocks/five-marblocks-media.rle, and its description updated to the one provided in the linked post. Also rename the sequel pattern accordingly.

The following should be moved to Patterns/Non-Totalistic/Fractal-Generators:
- Patterns/Non-Totalistic/Replicators/double-sierpinski-builder.rle
- Patterns/Non-Totalistic/Replicators/flying-sierpinski-triangles.rle
- Patterns/Non-Totalistic/Replicators/one-and-a-half-fractal.rle
- Patterns/Non-Totalistic/Replicators/Sierpinski-builder.rle
- Patterns/Non-Totalistic/Replicators/slant-sierpinski-generator.rle

This should cover most of the issues with 4.3. There are some patterns that came after the initial zip I can compile into a second zip once we need to check things in for 4.4.

Posted: **February 26th, 2025, 8:12 pm**

I definitely think we need a bigger 3D pattern collection. Here's an obvious example to include, which I've annotated accordingly:

Code: Select all

3D version=1 size=50 pos=13,13,19
#N pentadecathlon-sandwich.rle3
#O Andrew Trevorrow, 16 May 2018
#C
#C Much like how two-dimensional cellular automaton patterns can
#C embed one-dimensional rules, three-dimensional cellular
#C automaton patterns can embed two-dimensional rules.
#C
#C Carter Bays demonstrates in a 1987 paper that the 3D 2-state rule
#C B567/S6 can support a "mini Conway universe", i.e. a region of
#C space that evolves according to the familiar B3/S23 2D rule.
#C
#C In this example, a pentadecathlon is confined within a
#C "time-space barrier", which is arbitrarily extensible.
#C
#C Bays's research article:
#C http://www.complex-systems.com/pdf/01-3-1.pdf
#C
#C Reference:
#C https://conwaylife.com/forums/viewtopic.php?f=9&t=3404#p60048
x=24 y=24 z=12 rule=3D5..7/6
6booboobbooboo$6booboobbooboo$bboo16boo$bboo16boo3$oo20boo$oo20boo$$
oo20boo$oo20boo3$oo20boo$oo20boo$$oo20boo$oo20boo3$bboo16boo$bboo16b
oo$6booboobbooboo$6booboobbooboo/6booboobbooboo$6booboobbooboo$3bo16b
o$bbo18bo3$oo20boo$oo20boo$$oo20boo$oo20boo3$oo20boo$oo20boo$$oo20b
oo$oo20boo3$bbo18bo$3bo16bo$6booboobbooboo$6booboobbooboo/$$3bo16bo
$bbo18bo17$bbo18bo$3bo16bo/$$4b16o$3b18o$bboobooboobooboobooboo$bb20o
$bb20o$bboobooboobooboobooboo$bb20o$bb20o$bboobooboobooboobooboo$bb
20o$bb20o$bboobooboobooboobooboo$bb20o$bb20o$bboobooboobooboobooboo
$bb20o$bb20o$bboobooboobooboobooboo$3b18o$4b16o//6booboobbooboo$6boo
boobbooboo5$oo20boo$oo20boo$$oo20boo$oo7bo4bo7boo$7boob4oboo$9bo4bo
$oo20boo$oo20boo$$oo20boo$oo20boo5$6booboobbooboo$6booboobbooboo/6b
ooboobbooboo$6booboobbooboo5$oo20boo$oo20boo$$oo20boo$oo7bo4bo7boo$
7boob4oboo$9bo4bo$oo20boo$oo20boo$$oo20boo$oo20boo5$6booboobbooboo$
6booboobbooboo//$$4b16o$3b18o$bboobooboobooboobooboo$bb20o$bb20o$bb
oobooboobooboobooboo$bb20o$bb20o$bboobooboobooboobooboo$bb20o$bb20o
$bboobooboobooboobooboo$bb20o$bb20o$bboobooboobooboobooboo$bb20o$bb
20o$bboobooboobooboobooboo$3b18o$4b16o/$$3bo16bo$bbo18bo17$bbo18bo$
3bo16bo/6booboobbooboo$6booboobbooboo$3bo16bo$bbo18bo3$oo20boo$oo20b
oo$$oo20boo$oo20boo3$oo20boo$oo20boo$$oo20boo$oo20boo3$bbo18bo$3bo16b
o$6booboobbooboo$6booboobbooboo/6booboobbooboo$6booboobbooboo$bboo16b
oo$bboo16boo3$oo20boo$oo20boo$$oo20boo$oo20boo3$oo20boo$oo20boo$$oo
20boo$oo20boo3$bboo16boo$bboo16boo$6booboobbooboo$6booboobbooboo!

Posted: **July 3rd, 2025, 12:32 pm**

Bringing this thread back to the top since it's now been a year and a month since the last edit to the pattern directory, and work on the next major update appears to be underway.

Are we currently in a state to be accepting patterns (including the changes reiterated recently in this thread), or must other changes happen first?

Posted: **July 3rd, 2025, 2:18 pm**

muzik wrote: July 3rd, 2025, 12:32 pm Bringing this thread back to the top since it's now been a year and a month since the last edit to the pattern directory, and work on the next major update appears to be underway.

Are we currently in a state to be accepting patterns (including the changes reiterated recently in this thread), or must other changes happen first?

Now is a great time for pattern checkins to start happening.

I'm usually the one who does pattern checkins. Unfortunately I've been very short on time recently. My mother was diagnosed with pancreatic cancer at the beginning of 2025, and passed away a month ago... and I'm the executor, and there always seems to be more to do than there is time for.

If someone else wants to volunteer to put on the Pattern Collector's Hat and be added officially to the Golly Gang, this thread would be a good place to put in a bid. Otherwise, I'll get back to pattern file reviews and checkins when I can.

Posted: **July 4th, 2025, 8:28 pm**

dvgrn wrote: July 3rd, 2025, 2:18 pmI'm usually the one who does pattern checkins. Unfortunately I've been very short on time recently. My mother was diagnosed with pancreatic cancer at the beginning of 2025, and passed away a month ago... and I'm the executor, and there always seems to be more to do than there is time for.

If someone else wants to volunteer to put on the Pattern Collector's Hat and be added officially to the Golly Gang, this thread would be a good place to put in a bid. Otherwise, I'll get back to pattern file reviews and checkins when I can.

Very not happy to hear this; hoping everything goes as well as it reasonably can going forward.

What privileges, responsibilities, expectations, etc. would come with being in the position of adding patterns to the main collection?

Posted: **July 4th, 2025, 8:54 pm**

muzik wrote: July 4th, 2025, 8:28 pm Very not happy to hear this; hoping everything goes as well as it reasonably can going forward.

What privileges, responsibilities, expectations, etc. would come with being in the position of adding patterns to the main collection?

Things have indeed been going as well as can reasonably be expected -- thanks!

Joining the Golly Gang and being able to check in changes to the main Golly repository doesn't really give someone very many new powers, but there are certainly a few responsibilities and expectations. Mainly they just amount to "don't break the build" -- or fix it if you do -- but preferably test everything that you're going to check in before you check it in. That generally means being able to do local builds of Golly, at least for one OS.

That's actually the piece that I'm missing at the moment, because my dedicated laptop has succumbed to a mysterious Blue Screen of Death disease. I'm going to have to wrestle with my extended-warranty insurance company to get it fixed or get a replacement -- but I simply don't have time for that just at the moment.

Of course it's not likely that simply checking in patterns, or changing the names of patterns or the comments inside patterns, will break a Golly build. Still, it's nice to be able to review and test everything out in the context of the new build, especially if it's necessary to add new rule files to support some patterns, and/or if rules and patterns and/or helper scripts are packaged into ZIP files.

There's one place in particular where it's useful to be running Golly to review everything: the changes.html file, which usually lists all new patterns added, or at least describes them.

The online copy of changes.html has non-functional links that use an "open:" syntax that of course browsers don't support -- but when that HTML file is displayed from inside Golly, the links work to open the pattern files. So that's generally something that needs to be tested before a final Golly build goes out the door.

It's surprisingly easy to make mistakes in the checkin process, and surprisingly time-consuming to get everything documented correctly in changes.html. In March 2024 Andrew Trevorrow made available a Lua script to do comparisons between versions of Golly, to make this a little easier:

Code: Select all

-- Finds the differences between Golly's current Patterns folder and an older Patterns folder
-- and displays the results in the help window.  Useful for updating Help/changes.html.
-- By Andrew Trevorrow (andrew@trevorrow.com).

local g = golly()

local appdir = g.getdir("app")
local pathsep = appdir:sub(-1)
local curpattdir = appdir.."Patterns"..pathsep

local oldpattdir = g.opendialog("Choose old Patterns folder", "dir")
if #oldpattdir == 0 then g.exit("Cancelled") end

--------------------------------------------------------------------------------

function GetPaths(dir, level, paths, plen)
    -- recursively traverse given directory and append files to paths array
    local files = g.getfiles(dir)
    if files == nil then
        g.exit("The given directory does not exist:\n"..dir)
    elseif #files == 0 then
        return paths
    else
        table.sort(files)
    end
    for _, name in ipairs(files) do
        if name:sub(1,1) == "." then
            -- ignore hidden file
        elseif name:sub(-1) == pathsep then
            -- name is a subdirectory
            paths = GetPaths(dir..name, level+1, paths, plen)
        else
            -- name is a file
            local reldir = dir:sub(plen-8) -- start reldir with "Patterns/"
            paths[#paths+1] = reldir..name
        end
    end
    return paths
end

--------------------------------------------------------------------------------

function FindAddedPatterns(curpaths, oldpaths)
    -- return array of paths that are in curpaths but not in oldpaths
    local added_patterns = {}
    local oldstr = table.concat(oldpaths,"\n")
    for _, path in ipairs(curpaths) do
        if not oldstr:find(path, 1, true) then
            added_patterns[#added_patterns+1] = path
        end
    end
    return added_patterns
end

--------------------------------------------------------------------------------

function FindDeletedPatterns(curpaths, oldpaths)
    -- return array of paths that are in oldpaths but not in curpaths
    local deleted_patterns = {}
    local curstr = table.concat(curpaths,"\n")
    for _, path in ipairs(oldpaths) do
        if not curstr:find(path, 1, true) then
            deleted_patterns[#deleted_patterns+1] = path
        end
    end
    return deleted_patterns
end

--------------------------------------------------------------------------------

function FindModifiedPatterns(curpaths, oldpaths)
    -- return array of paths that are in curpaths and in oldpaths but their contents have changed
    local modified_patterns = {}
    local curprefix = curpattdir:sub(1,-10) -- remove "Patterns/"
    local oldprefix = oldpattdir:sub(1,-10) -- remove "Patterns/"
    local oldstr = table.concat(oldpaths,"\n")
    for _, path in ipairs(curpaths) do
        if oldstr:find(path, 1, true) then
            local curfull = curprefix..path
            local curf = io.open(curfull,"rb")
            if not curf then g.exit("Open failed:\n"..currfull) end
            local curdata = curf:read("*a")
            curf:close()

            local oldfull = oldprefix..path
            local oldf = io.open(oldfull,"rb")
            if not oldf then g.exit("Open failed:\n"..oldrfull) end
            local olddata = oldf:read("*a")
            oldf:close()
            
            if curdata ~= olddata then
                modified_patterns[#modified_patterns+1] = path
            end
        end
    end
    return modified_patterns
end

--------------------------------------------------------------------------------

function ShowChanges(added_patterns, deleted_patterns, modified_patterns)
    -- show changes in help window
    local htmlheader =
        "<html><title>Pattern Changes</title>\n"..
        "<meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\">\n"..
        "<body bgcolor=\"#FFFFCE\"><p>\n"
    local htmlfooter = "</body></html>"

    -- create the html data in a temporary file
    local htmlfile = g.getdir("temp").."temp.html"
    local f = io.open(htmlfile,"w")
    if not f then
        g.exit("Failed to create file:\n"..htmlfile)
    end
    f:write(htmlheader)
    f:write("Current Patterns: "..curpattdir.."<br>")
    f:write("Old Patterns: "..oldpattdir.."<br>")
    f:write("\n<p>")
    f:write("Added patterns:<br>")
    f:write(table.concat(added_patterns,"<br>"))
    f:write("\n<p>")
    f:write("Deleted patterns:<br>")
    f:write(table.concat(deleted_patterns,"<br>"))
    f:write("\n<p>")
    f:write("Modified patterns:<br>")
    f:write(table.concat(modified_patterns,"<br>"))
    f:write(htmlfooter)
    f:close()
    g.open(htmlfile)
    g.show("")
end

--------------------------------------------------------------------------------

local curpaths = GetPaths(curpattdir, 1, {}, #curpattdir)
local oldpaths = GetPaths(oldpattdir, 1, {}, #oldpattdir)

local added_patterns = FindAddedPatterns(curpaths, oldpaths)
local deleted_patterns = FindDeletedPatterns(curpaths, oldpaths)
local modified_patterns = FindModifiedPatterns(curpaths, oldpaths)

ShowChanges(added_patterns, deleted_patterns, modified_patterns)

I seem to recall that I adjusted this a little bit, to produce the exact "open:" syntax that changes.html needs. I'm not finding that I kept a copy of that version, but it should be easy enough to reconstitute it from the above version.

Posted: **July 5th, 2025, 4:05 am**

dvgrn wrote: July 3rd, 2025, 2:18 pm Now is a great time for pattern checkins to start happening.

Probably better to wait a few weeks before adding more patterns or rules. I'm in the middle of making some changes that might affect the contents of some types of patterns. I've already added support for @NAMES in a .rule file and I'm planning to start soon on supporting RLE files with @RULE data included at the end (ala LifeViewer). More details later.

ConwayLife.com

Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly

Re: Suggested patterns for Golly