For general discussion about Conway's Game of Life.

danny wrote:I think of something like this 5G:

`x = 34, y = 22, rule = B3/S2332bo\$31bo\$31b3o4\$18bo4bo\$19b2obo\$18b2o2b3o2\$8b2o\$7bobo\$7bo\$6b2o2\$5bo\$5b2o\$4bobo2\$bo\$b2o\$obo!`

Huh, yes, that looks promising. It's too bad that this doesn't _quite_ work:

`x = 76, y = 76, rule = LifeHistory69.A\$68.A\$68.3A3\$2.A\$A.A\$.2A59.A\$60.2A\$61.2A4\$7.A.A\$8.2A\$8.A5\$49.A\$48.A\$48.3A3\$22.A\$20.A.A\$21.2A19.A\$40.2A\$41.2A4\$27.A.A\$28.2A\$28.A5\$47.A\$46.2A\$46.A.A4\$33.2A\$34.2A\$33.A19.2A\$53.A.A\$53.A3\$25.3A\$27.A\$26.A5\$67.A\$66.2A\$66.A.A4\$13.2A\$14.2A\$13.A59.2A\$73.A.A\$73.A3\$5.3A\$7.A\$6.A!`

But your example does make it seem like there's something with fewer gliders anyway.

EDIT: I think an Official Ruling is needed on whether the object is allowed to disappear temporarily while "eating" the gliders, along the lines of the transparent debris effect. If you weren't paying attention to what happens for a few ticks in the second-round synthesis, then these four gliders would be a solution -- right?

`x = 52, y = 56, rule = LifeHistory49.A\$49.A.A\$49.2A3\$2.A\$A.A\$.2A9\$33.A\$33.A.A\$33.2A3\$18.A\$16.A.A\$17.2A4\$22.2D\$23.D\$20.3D\$20.D3\$27.2A\$27.A.A\$27.A2\$31.2A\$30.2A\$32.A10\$43.2A\$43.A.A\$43.A2\$47.2A\$46.2A\$48.A!`

dvgrn
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dvgrn wrote:EDIT: I think an Official Ruling is needed on whether the object is allowed to disappear temporarily while "eating" the gliders, along the lines of the transparent debris effect. If you weren't paying attention to what happens for a few ticks in the second-round synthesis, then these four gliders would be a solution -- right?

It works, technically, but I really want to see one without
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 962
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Location: New Jersey, USA

danny wrote:
dvgrn wrote:EDIT: I think an Official Ruling is needed on whether the object is allowed to disappear temporarily while "eating" the gliders, along the lines of the transparent debris effect. If you weren't paying attention to what happens for a few ticks in the second-round synthesis, then these four gliders would be a solution -- right?

It works, technically, but I really want to see one without

Okay -- your wish is my command:

`x = 1513, y = 3230, rule = B3/S23o\$b2o\$2o3\$4bobo\$5b2o\$5bo4\$10bobo\$11b2o\$11bo12\$24bobo\$25b2o\$25bo20\$48bo\$49bo\$47b3o6\$56bo\$57bo\$55b3o27\$85bo\$86bo\$84b3o4\$91bo\$92bo\$90b3o23\$114bobo\$115b2o\$115bo15\$133bo\$134bo\$132b3o5\$139bo\$140b2o\$139b2o5\$146bo\$147b2o\$146b2o33\$182bo\$183bo\$181b3o13\$196bo\$197b2o\$196b2o34\$233bo\$234bo\$232b3o8\$243bo\$244bo\$242b3o12\$256bo\$257b2o\$256b2o26\$285bo\$283bobo\$284b2o4\$289bobo\$290b2o\$290bo12\$305bo\$306bo\$304b3o22\$328bo\$329b2o\$328b2o20\$350bo\$351b2o\$350b2o6\$359bo\$357bobo\$358b2o21\$382bo\$383bo\$381b3o10\$393bo\$394b2o\$393b2o25\$421bo\$422bo\$420b3o8\$431bo\$429bobo\$430b2o3\$436bo\$437bo\$435b3o8\$445bo\$446b2o\$445b2o3\$450bo\$451b2o\$450b2o6\$457bobo\$458b2o\$458bo\$462bo\$463bo\$461b3o15\$478bo\$479b2o\$478b2o21\$502bo\$500bobo\$501b2o7\$511bo\$512bo\$510b3o488\$1000bo\$1001b2o\$1000b2o3\$1004bobo\$1005b2o\$1005bo4\$1010bobo\$1011b2o\$1011bo12\$1024bobo\$1025b2o\$1025bo20\$1048bo\$1049bo\$1047b3o6\$1056bo\$1057bo\$1055b3o27\$1085bo\$1086bo\$1084b3o4\$1091bo\$1092bo\$1090b3o23\$1114bobo\$1115b2o\$1115bo15\$1133bo\$1134bo\$1132b3o5\$1139bo\$1140b2o\$1139b2o5\$1146bo\$1147b2o\$1146b2o33\$1182bo\$1183bo\$1181b3o13\$1196bo\$1197b2o\$1196b2o34\$1233bo\$1234bo\$1232b3o8\$1243bo\$1244bo\$1242b3o12\$1256bo\$1257b2o\$1256b2o26\$1285bo\$1283bobo\$1284b2o4\$1289bobo\$1290b2o\$1290bo12\$1305bo\$1306bo\$1304b3o22\$1328bo\$1329b2o\$1328b2o20\$1350bo\$1351b2o\$1350b2o6\$1359bo\$1357bobo\$1358b2o21\$1382bo\$1383bo\$1381b3o10\$1393bo\$1394b2o\$1393b2o25\$1421bo\$1422bo\$1420b3o8\$1431bo\$1429bobo\$1430b2o3\$1436bo\$1437bo\$1435b3o8\$1445bo\$1446b2o\$1445b2o3\$1450bo\$1451b2o\$1450b2o6\$1457bobo\$1458b2o\$1458bo\$1462bo\$1463bo\$1461b3o15\$1478bo\$1479b2o\$1478b2o21\$1502bo\$1500bobo\$1501b2o7\$1511bo\$1512bo\$1510b3o205\$1510b3o\$1512bo\$1511bo7\$1501b2o\$1500bobo\$1502bo21\$1478b2o\$1479b2o\$1478bo15\$1461b3o\$1463bo\$1462bo\$1458bo\$1458b2o\$1457bobo6\$1450b2o\$1451b2o\$1450bo3\$1445b2o\$1446b2o\$1445bo8\$1435b3o\$1437bo\$1436bo3\$1430b2o\$1429bobo\$1431bo8\$1420b3o\$1422bo\$1421bo25\$1393b2o\$1394b2o\$1393bo10\$1381b3o\$1383bo\$1382bo21\$1358b2o\$1357bobo\$1359bo6\$1350b2o\$1351b2o\$1350bo20\$1328b2o\$1329b2o\$1328bo22\$1304b3o\$1306bo\$1305bo12\$1290bo\$1290b2o\$1289bobo4\$1284b2o\$1283bobo\$1285bo26\$1256b2o\$1257b2o\$1256bo12\$1242b3o\$1244bo\$1243bo8\$1232b3o\$1234bo\$1233bo34\$1196b2o\$1197b2o\$1196bo13\$1181b3o\$1183bo\$1182bo33\$1146b2o\$1147b2o\$1146bo5\$1139b2o\$1140b2o\$1139bo5\$1132b3o\$1134bo\$1133bo15\$1115bo\$1115b2o\$1114bobo23\$1090b3o\$1092bo\$1091bo4\$1084b3o\$1086bo\$1085bo27\$1055b3o\$1057bo\$1056bo6\$1047b3o\$1049bo\$1048bo20\$1025bo\$1025b2o\$1024bobo12\$1011bo\$1011b2o\$1010bobo4\$1005bo\$1005b2o\$1004bobo3\$1000b2o\$1001b2o\$1000bo488\$510b3o\$512bo\$511bo7\$501b2o\$500bobo\$502bo21\$478b2o\$479b2o\$478bo15\$461b3o\$463bo\$462bo\$458bo\$458b2o\$457bobo6\$450b2o\$451b2o\$450bo3\$445b2o\$446b2o\$445bo8\$435b3o\$437bo\$436bo3\$430b2o\$429bobo\$431bo8\$420b3o\$422bo\$421bo25\$393b2o\$394b2o\$393bo10\$381b3o\$383bo\$382bo21\$358b2o\$357bobo\$359bo6\$350b2o\$351b2o\$350bo20\$328b2o\$329b2o\$328bo22\$304b3o\$306bo\$305bo12\$290bo\$290b2o\$289bobo4\$284b2o\$283bobo\$285bo26\$256b2o\$257b2o\$256bo12\$242b3o\$244bo\$243bo8\$232b3o\$234bo\$233bo34\$196b2o\$197b2o\$196bo13\$181b3o\$183bo\$182bo33\$146b2o\$147b2o\$146bo5\$139b2o\$140b2o\$139bo5\$132b3o\$134bo\$133bo15\$115bo\$115b2o\$114bobo23\$90b3o\$92bo\$91bo4\$84b3o\$86bo\$85bo27\$55b3o\$57bo\$56bo6\$47b3o\$49bo\$48bo20\$25bo\$25b2o\$24bobo12\$11bo\$11b2o\$10bobo4\$5bo\$5b2o\$4bobo3\$2o\$b2o\$o!#C [[ X 550 Z -3 STEP 9 ]]`

... A reasonable-sized version is left as an exercise for the reader.

dvgrn
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Would it be possible to make a pattern which has a gun firing into a line of semi snarks and which after awhile tags another semisnark onto the end? At what rate would it grow? Olog(t)? Oslog(t)? I assume it’s the former.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

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Moosey wrote:Would it be possible to make a pattern which has a gun firing into a line of semi snarks and which after awhile tags another semisnark onto the end? At what rate would it grow? Olog(t)? Oslog(t)? I assume it’s the former.
It's rate of growth would be inversely proportional to two to the power of its current length. Which means it would grow like O(log t).
You would have to use slow-salvo single-channel technology, which I've done some work on before. Possibly in this very thread.

Macbi

Posts: 685
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Macbi wrote:
Moosey wrote:Would it be possible to make a pattern which has a gun firing into a line of semi snarks and which after awhile tags another semisnark onto the end? At what rate would it grow? Olog(t)? Oslog(t)? I assume it’s the former.
It's rate of growth would be inversely proportional to two to the power of its current length. Which means it would grow like O(log t).
You would have to use slow-salvo single-channel technology, which I've done some work on before. Possibly in this very thread.

It's a little tricky, at least assuming that you want each new semi-Snark to take (roughly) twice as as much time to be added as the previous one.

Just following the above requirement as it's written is fairly trivial: line up two semi-Snarks in their "absorb" phase with an elbow and an initial hand target, and figure out how far away the next hand target has to be to build the same thing again, lined up in a chain. Put a block in that next hand location, compile the whole thing with slsparse, and build a memory-loop gun for the recipe that comes out.

Even if you have a low-period gun firing into the upper end of the chain, as long as you start with a few dozen semi-Snarks so that the period of the whole chain is greater than the period of the loop gun, you don't have to worry about doing anything with the gliders coming out the far end, because there will never be any.

Okay, You Actually Want The Semi-Snarks To Do Something...
The problem gets a bit more painful if you want an output glider from the semi-Snark chain to trigger the construction of the next pair of semi-Snarks. You'll still have a memory-loop gun holding more or less the same recipe, but now you probably ought to add a construction for something like a one-time G-to-*WSS converter -- like knightlife's four-block one:

`x = 111, y = 80, rule = LifeHistory7.A\$8.A\$6.3A8\$17.A\$18.A\$16.3A11\$74.A\$72.3A\$71.A\$63.2A6.2A\$63.A.A3.4B\$64.A.5B\$65.7B\$37.A27.4B2A4B.B\$38.A26.4B2A3B.B2A\$36.3A26.11B2A\$65.9B.2B\$60.2B2.10B\$59.2A13B\$59.2A13B\$60.2B.11B\$63.9B.B2A\$65.7B.BA.A\$47.A16.7B5.A\$48.A14.8B5.2A\$46.3AB12.4B2.4B\$47.4B10.4B4.4B\$48.4B8.4B6.4B\$49.4B6.4B8.4B\$A9.A9.A9.A9.A9.4B4.4B10.4B\$51.4B2.4B12.4B\$52.8B5.2A\$53.7B5.A\$54.7B.BA.A\$52.9B.B2A\$49.2B.11B\$48.2A13B\$48.2A13B\$49.2B2.10B\$54.9B.2B\$54.11B2A\$54.4B2A3B.B2A\$54.4B2A4B.B\$54.7B\$53.A.5B\$52.A.A3.4B\$52.2A6.2A47.2A\$60.A48.2A\$61.3A\$63.A39.2A\$103.2A5\$109.2A\$109.2A5\$102.2A\$102.2A!`

Then feed that MWSS through an MWSS-to-G and into a regulator driven by a gun the same period as the memory loop. Set it up to open a switch and let out one copy of the single-channel recipe, then close the switch again.

You kind of need the universal regulator mechanism, because otherwise the time when the signal returns from the end of the semi-Snark chain is too unpredictable. I mean, you could build some counting circuitry to predict it, but it's easier to just use a regulator.

Fewer Semi-Snarks To Build, But Not Really Simpler
An interesting variant of this would be to build the semi-Snark chain in a spiral, around and around the memory-loop gun. Then your recipe could be for just one semi-Snark instead of a pair of them, plus a regular Snark, plus an MWSS seed, plus the next target hand block in a place where the recipe can pick it up on the next trip around the spiral.

The MWSS could cross the spiral directly back to the center -- from one of four directions, so you'd need a little extra circuitry to collect all those possible signals and feed them into the regulator to let the next semi-Snark recipe out.

The recipe won't go into the spiral semi-Snark chain, of course -- well, actually it _could_, perfectly well, but it also has to be fed into the parallel spiral of Snarks, so that it gets to the outside of the spiral undamaged to do its construction work, no matter how long the spiral gets.

dvgrn
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What’s the smallest G predecessor consisting of isolated dots?
It is smaller than this:
`x = 16, y = 16, rule = B3/S233.A.A\$10.A\$3.A3.A\$5.A3.A.A3.A\$3.A3.A5.A\$5.A5.A3.A\$7.A.A3.A\$11.A\$A.A.A.A2\$.A.A.A3\$7.A.A2\$6.A.A.A!`

Are there any predecessors for this dot parent?
`x = 21, y = 14, rule = B3/S233bobobobobobobobo\$3bobobobobobobobo\$2b17o\$19o\$2b3o2b3obob2o3b3o\$5obob2obob2ob3o\$2b3o3b2o3b2o3b3o\$5obob3ob3ob3o\$2b3o2b4ob3o3b3o\$19o\$2b19o\$2b17o\$3bobobobobobobobo\$3bobobobobobobobo!`
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

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Location: A house, or perhaps the OCA board.

Moosey wrote:What’s the smallest G predecessor consisting of isolated dots?
It is smaller than this:
`x = 16, y = 16, rule = B3/S23...`

Probably smaller than this, too, but I don't think I'm going to find out without writing an enumerator script for dot patterns:

`x = 8, y = 7, rule = B3/S232bobo2\$obobo2\$bobobobo2\$4bobo!`

Have you tried JavaLifeSearch on that "BYE" pattern? It's big enough that I don't know if you'll get an answer in a reasonable amount of time, but it might be worth a try.

dvgrn
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Moosey wrote:Are there any predecessors for this dot parent?
`x = 21, y = 14, rule = B3/S233bobobobobobobobo\$3bobobobobobobobo\$2b17o\$19o\$2b3o2b3obob2o3b3o\$5obob2obob2ob3o\$2b3o3b2o3b2o3b3o\$5obob3ob3ob3o\$2b3o2b4ob3o3b3o\$19o\$2b19o\$2b17o\$3bobobobobobobobo\$3bobobobobobobobo!`

JLS reports 872 predecessors in a 23x16 bounding box. I don't believe there are any in a smaller bounding box. For this search, careful selection of the search order doesn't seem to be required, but it can speed the search up somewhat (20s to find all solutions rather than 3 minutes). From my previous experience the SAT solvers are better at this kind of task. LLS can easily be set up to find a predecessor solution, and Tom Rokicki wrote a Golly Lua script to do the same using glucose. I haven't been able to get that script to read the solutions back in properly on Windows unfortunately, but it should work well in Linux and MacOS. Neither of those tools is particularly efficient at finding all solutions, but that can be done by modifying them to use iglucose instead.

And here's a randomly selected predecessor:
`x = 23, y = 16, rule = B3/S233bo5bo3bo5bo\$5bobo3bo3bobo2bo\$4bo2bo2bo2bo2bo2b4o\$bobo5bo3bo5b2o\$4bob2o2bobobob2o\$obo2bo2bo2bo3bobo2b3o\$3bo2b2o2bobobo2b3o\$2bo2bobobo2b2obo4b3o\$4bo2b2o2b2o3b2o\$b2o2bo2bo2bo3bobob4o\$4bob2o2bo2b2ob2o2bo\$o2bo5bo2bo8b2o\$2bo2bo2bo2bo3bo2b2o\$4bob2o2bobob3obo\$2bobobobobobobo3bo\$2bobobobobobobo2bo!`
The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

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How do I install gfind?
I like making color palettes for rules

Gustone

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http://www.ics.uci.edu/~eppstein/ca/gfind.c

And then compile with gcc -O3 -o gfind gfind.c
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googoIpIex

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http://www.ics.uci.edu/~eppstein/ca/gfind.c

And then compile with gcc -O3 -o gfind gfind.c

How do i compile it? With what? What program do I use?
I like making color palettes for rules

Gustone

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What OS are you using?
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googoIpIex

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Gustone wrote:How do i compile it? With what? What program do I use?

The wiki has a tutorial on compiling C code.
Ian07

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Joined: September 22nd, 2018, 8:48 am

googoIpIex wrote:What OS are you using?

Windows 7? Ultimate? 64 bit?
I like making color palettes for rules

Gustone

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Really stupid question but I just can't use Rhombic's script because I don't have python on my dad's computer.

Uh, what will the rule behaves if I construct a MAP rule, which is same as CGOL, except when a cell has the left-upper neighbour on and other neighbours off, the center cell state is toggled.
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

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Hunting wrote:Really stupid question but I just can't use Rhombic's script because I don't have python on my dad's computer.

Uh, what will the rule behaves if I construct a MAP rule, which is same as CGOL, except when a cell has the left-upper neighbour on and other neighbours off, the center cell state is toggled.

Explodes in the lower right direction very quickly (grows at C diagonal) and the other directions slowly.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

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Moosey wrote:
Hunting wrote:Really stupid question but I just can't use Rhombic's script because I don't have python on my dad's computer.

Uh, what will the rule behaves if I construct a MAP rule, which is same as CGOL, except when a cell has the left-upper neighbour on and other neighbours off, the center cell state is toggled.

Explodes in the lower right direction very quickly (grows at C diagonal) and the other directions slowly.

Oh, could you please show me the rule?
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

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Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

Hunting wrote:
Moosey wrote:
Hunting wrote:Really stupid question but I just can't use Rhombic's script because I don't have python on my dad's computer.

Uh, what will the rule behaves if I construct a MAP rule, which is same as CGOL, except when a cell has the left-upper neighbour on and other neighbours off, the center cell state is toggled.

Explodes in the lower right direction very quickly (grows at C diagonal) and the other directions slowly.

Oh, could you please show me the rule?

No. I don’t have it. Right now.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

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Joined: January 27th, 2019, 5:54 pm
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Moore-neighbourhood, E^2 lattice:
There is a nontrivial set of cellular automata rules between isotropic nontotalistic and outer-totalistic set, where only the number of diagonal and orthogonal neigbours count. Using Hensel-notation, only the following rulestring parts are valid in a birth or survival section:
• 0 diagonal, 0 orthogonal: 0
• 1 d., 0 o.: 1c
• 0 d., 1 o.: 1e
• 2 d., 0 o.: 2cn
• 1 d., 1 o.: 2ak
• 0 d., 2 o.: 2ei
• 3 d., 0 o.: 3c
• 2 d., 1 o.: 3inqy
• 1 d., 2 o.: 3akjr
• 0 d., 3 o.: 3e
• ...
and so on.
Is it worth to list already investigated nontotalistic rules if they fit into the above category?

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Joined: May 7th, 2016, 8:53 am

Gustone wrote:
googoIpIex wrote:What OS are you using?

Windows 7? Ultimate? 64 bit?

If you have windows 7, then I would use Cygwin (google it). When the installer asks you what modules to install, select gcc.
woomy on a vroomy
googoIpIex

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Location: Sqrt(-1)

is there any converter which changes a boat bit to face the other way?
`x = 38, y = 9, rule = B3/S2316bo2\$bo16bo\$obobo26b2obo\$b2ob3o5bobobobobo9bobob3o\$7bo23bo5bo\$6b2o10bo17b2o2\$16bo!`
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googoIpIex

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Location: Sqrt(-1)

googoIpIex wrote:is there any converter which changes a boat bit to face the other way?

Is it okay to cheat?

`x = 27, y = 32, rule = B3/S2321bo\$21bobo\$21b2o7\$11bo\$9bobo\$10b2o3\$15bo\$14bobobo\$15b2ob3o\$21bo\$20b2o6\$b2o\$obo\$2bo3\$25b2o\$24b2o\$26bo!`

dvgrn
Moderator

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What is the fastest repeat time hNN to X?
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googoIpIex

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Location: Sqrt(-1)

How would I find Elbow operations to use with an overclocked silver reflector?
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googoIpIex

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