## Rules with interesting dynamics

For discussion of other cellular automata.

### Re: Rules with interesting dynamics

One of David Eppstein's open questions is whether LongLife is fertile (has a pattern that eventually escapes any bounding box, such as a spaceship or puffer). At minimum, it appears to be bound as described above.
`x = 11, y = 11, rule = B345/S5History5BC5B\$4B3C4B\$3B5C3B\$2B3CB3C2B\$B3C3B3CB\$3C5B3C\$B3C3B3CB\$2B3CB3C2B\$3B5C3B\$4B3C4B\$5BC5B!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 453
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with interesting dynamics

Okay, I remember the ship in front from another of my rules (but it was slower, c/5). What is it doing in a RMOS?
`x = 12, y = 7, rule = B2ce3ck4c5iq6c/S13nr4q5jq2o\$bo7b2o\$o5b2ob2o\$8b2obo\$o5b2ob2o\$bo7b2o\$2o!`

`x = 26, y = 7, rule = B2ce3ck4c5iq6c/S13nr4q5jq2o\$bo\$o11b2o\$14bo9b2o\$o11b2o\$bo\$2o!`

The old version of that ship:
`x = 7, y = 2, rule = B2ce/S1c3nobobobo\$2o3b2o!`

`x = 30, y = 37, rule = B2ce4nt/S12i3no27b2o\$o4bo6bo3bo12bo\$o4bo6bo3bo3bo7bo\$o4bo6bo3bo3bo\$o4bo6bo3bo3bo7bo\$o4bo6bo16bo\$o4bo22b2o16\$12bo\$13bo\$12bo8\$11bobo\$10bo\$11bo\$14bo\$14bo!`

It’s unstoppable! We’re all doomed! Oh.
`x = 44, y = 22, rule = B2ce4ant5ey6i7e/S12ik3nr8bo7b6o4b17o\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo4b2o11bo\$8bo6bo6bo2bo5bo11bo\$o7bo6bo6bo2bo4bo12bo\$o7bo6bo6bo2bo17bo\$8bo6bo6bo2bo4bo12bo\$8bo6bo6bo2bo5bo11bo\$8bo6bo6bo2bo4b2o11bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo6bo6bo2bo17bo\$8bo7b6o4b17o!`

Not how to make a ship:
`x = 19, y = 25, rule = B2ce4aent5ey6i7e/S12i3nr4c7bo\$7bo\$6bo2\$bo\$bo\$o4\$9bo5bo\$7bobo6b2o6\$7bo4bo4bo\$6bo4bobo4bo\$7bo4bo4bo4\$11bobo\$12bo!`

This is how:
`x = 17, y = 15, rule = B2ce4aent5ey6i7e/S12i3nr4c16bo\$16bo\$15bo2\$8bo\$6bobo\$15bo\$16bo\$16bo\$6bobo\$8bo3\$2o\$2bo!`
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

Is this considered interesting? Methuselah that grows 65328 times before stabilizing, after about 92950 generations. i don't think that something similar is possible in any other outer-totallistic rule.

`x = 6, y = 6, rule = B3678/S1356783b2o\$4o\$6o\$2o2b2o\$6o\$6o!`
melwin22

Posts: 17
Joined: September 9th, 2017, 5:40 am

### Re: Rules with interesting dynamics

melwin22 wrote:Is this considered interesting? Methuselah that grows 65328 times before stabilizing, after about 92950 generations. i don't think that something similar is possible in any other outer-totallistic rule.

`x = 6, y = 6, rule = B3678/S1356783b2o\$4o\$6o\$2o2b2o\$6o\$6o!`

Reminds me of these. The fact that it's an outer-Totalistic rule is pretty cool though.
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

LaundryPizza03 wrote:One of David Eppstein's open questions is whether LongLife is fertile (has a pattern that eventually escapes any bounding box, such as a spaceship or puffer). At minimum, it appears to be bound as described above.
`x = 11, y = 11, rule = B345/S5History5BC5B\$4B3C4B\$3B5C3B\$2B3CB3C2B\$B3C3B3CB\$3C5B3C\$B3C3B3CB\$2B3CB3C2B\$3B5C3B\$4B3C4B\$5BC5B!`

It can't escape a bounding diamond based on this rule, where the initial box is the bounding box of the pattern in B345/S5:
`x = 11, y = 11, rule = B3i/S012345678History11A\$11A\$11A\$11A\$11A\$11A\$11A\$11A\$11A\$11A\$11A!`

Partial proof: Let OBD (outer bounding diamond) be the proposed maximum bounding diamond for the evolution of a pattern in B345/S5 with a given bounding box.
Of the birth conditions in B345/S5, only B3a can escape a bounding diamond.
Of the survival conditions in B345/S5, only S5a can keep a cell alive at the border of a diamond.

For B3a to be used for escaping a bounding diamond, all three cells within the bounding diamond must be alive.

The starting pattern cannot escape the OBD in one generation, as B3a cannot escape any bounding box on its own, and a bounding box defines the OBD.

Therefore, the OBD requires that B3a must occur using at least one cell outside the initial bounding box.

At this point, there are many possibilities to consider, and I do not have enough time right now to go through them.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 775
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Rules with interesting dynamics

Catalysty rule w/ enormous B shuttle:
`x = 35, y = 14, rule = B36n/S23-ak4tyz10bo\$10bobo\$10b2o\$34bo\$33b2o\$32b2o\$4b2o27b2o\$3bobo\$3bo\$2obo\$ob3o28b2o\$5bo26b2o\$4b2o27b2o\$34bo!`

Period x2:
`x = 18, y = 26, rule = B36n/S23-ak4tyz16b2o\$16bo\$14bobo\$o13b2o\$2o\$b2o\$2o4\$2o\$b2o\$2o\$o9\$9b2o\$10bo\$7b3o\$7bo!`

Px3 gun:
`x = 39, y = 12, rule = B36n/S23-ak4tyz2o\$obo35bo\$2bo34b2o\$3o33b2o\$37b2o3\$3o\$2bo34b2o\$obo33b2o\$2o35b2o\$38bo!`

Rule related to one by nolovoto:
`x = 85, y = 7, rule = 012en3-r/3-cr5e7e/3.A2.A.A2.A12.A2.A.A2.A10.A2.A.A2.A8.A2.A.A2.A8.A2.A.A2.A\$B9.B10.B8.AB8.BA8.B6.BA7.AB6.BA7.AB\$.A2.A.A2.A12.A2.A.A2.A10.A2.A.A2.A8.A2.A.A2.A8.A2.A.A2.A3\$4.3A18.A.A16.3A14.3A14.A.A\$5.B20.B18.B16.B16.B!`

P6:
`x = 3, y = 7, rule = 012en3-cr4e/3-cr4n5e7e/32.A\$2.A\$.A\$.BA\$2A2\$A!`
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

Moosey wrote:Px3 gun:
`x = 39, y = 12, rule = B36n/S23-ak4tyz2o\$obo35bo\$2bo34b2o\$3o33b2o\$37b2o3\$3o\$2bo34b2o\$obo33b2o\$2o35b2o\$38bo!`

Another:
`x = 35, y = 15, rule = B36n/S23-ak4tyz34bo\$33bo\$32b2o\$33b2o\$bo32bo\$b2o\$ob2o30bo\$obo30b2o\$2o30b2o\$33bo\$2o32bo\$obo\$ob2o\$b2o\$bo!`

p108 glider guns:
`x = 337, y = 21, rule = B36n/S23-ak4tyz335bo\$334b2o\$199bo133b2obo\$200bo133bobo\$200b2o133b2o\$128bo70b2o\$30bo96bo71bo135b2o\$29b2o95b2o206bobo\$28b2obo95b2o70bo133b2obo\$o28bobo73bo22bo70b2o133b2o\$bo28b2o73b2o93b2o27bo76bo28bo\$b2o101bob2o20bo71bo27b2o77bo\$2o28b2o72bobo20b2o70bo27b2obo76b2o\$o28bobo72b2o20b2o100bobo75b2o\$28b2obo95bo101b2o75bo\$o28b2o73b2o22bo\$2o28bo73bobo122b2o75bo\$b2o101bob2o120bobo75b2o\$bo103b2o120b2obo76b2o\$o104bo122b2o77bo\$229bo76bo!`

p54 double-barreled glider gun:
`x = 32, y = 11, rule = B36n/S23-ak4tyzo27b2o\$bo25bo2bo\$b2o24bo2bo\$2o25b2ob2o\$o28b2o2\$o28b2o\$2o25b2ob2o\$b2o24bo2bo\$bo25bo2bo\$o27b2o!`

EDIT:P58:
`x = 36, y = 19, rule = B36n/S23-ak4tyz4\$30b2o\$30bo\$28bobo\$28b2o\$15b6o\$16b4o\$17b2o\$6b2o\$5bobo\$5bo\$4b2o!`

p58 glider gun:
`x = 66, y = 15, rule = B36n/S23-ak4tyz35b2o\$35bobo\$35bo28b2o\$64bo\$40b2o20bobo\$25b2o35b2o\$11b6o8bobo10b2o11b2o\$12b4o8bo2bo10bo2bo8b4o\$13b2o11b2o10bobo8b6o\$2b2o35b2o\$bobo20b2o\$bo\$2o28bo\$28bobo\$29b2o!`

p108 4c8 gun:
`x = 157, y = 116, rule = B36n/S23-ak4tyz87bo5bo\$86b3o3b3o\$85bo2b2ob2o2bo\$84b2o3bobo3b2o\$86bo2bobo2bo\$87bo5bo6\$83b2o11b2o\$84b4o5b4o\$85b3o5b3o7\$86bob2ob2obo\$45b3o20b2o16bo2bobo2bo\$44b2o3bo17bobo16b3o3b3o\$43b2o2bobo17bo2bo\$26bo17bo5bo16bobo\$2b3o20bob2o16b5o18b2o\$5b2o16b5obo\$bo3b2o15b3o4b2o14b5o18b2o\$5b2o15bo3b4o14bo5bo16bobo\$2b3o18b6o14b2o2bobo17bo2bo\$44b2o3bo17bobo\$2b3o18b6o16b3o20b2o\$5b2o15bo3b4o\$bo3b2o15b3o4b2o42bo\$5b2o16b5obo43bobo\$2b3o20bob2o44b2o\$26bo7\$90b3o3b3o\$89bo2bo3bo2bo\$89bo3bobo3bo2\$39bo51bo5bo\$40b2o\$39b2o\$91b3ob3o\$91b3ob3o\$89bo9bo\$88b3o7b3o\$89b2o7b2o4\$90b2o5b2o\$91b3ob3o\$46bo42bobobobobobo\$46bobo40b2o2bobo2b2o\$46b2o42b3o3b3o\$91bo5bo4\$44b2o\$45b2o\$44bo\$102bo\$94bo7b2o\$93b2o8b2o\$92bo2bo7b2o6b3o\$66bo24b2o3bo6b2o8bo29b2o\$67b2o23b2o17bobo30bo7b2o\$66b2o25b3o15b2o20b2o8bo7b3o\$132bo2bo15b5o\$93b3o15b2o19bo2bo15b2o2b2o\$92b2o17bobo18b2ob2o15b2obo\$91b2o3bo6b2o8bo20b2o16b3o\$92bo2bo7b2o6b3o\$93b2o8b2o29b2o16b3o\$94bo7b2o28b2ob2o15b2obo\$102bo19bo9bo2bo15b2o2b2o\$68bo52bobo8bo2bo15b5o\$69b2o50b2o10b2o8bo7b3o\$68b2o74bo7b2o\$14bo128b2o\$6bo\$6bo2bo6bo\$2b2o5bo9bo\$8b3o7bo12b2o11bo\$2o14b2o12bobo10bob2o6bo\$o2b3obo4bo3b2ob2o10bo14bo5b4o\$o2bo7b2o3b3o22bo9bo\$b3o7bo28bo10b2ob5o\$41bobo4bo4bo5bo\$b3o7bo29b3o5b4o6bo\$o2bo7b2o3b3o24bo5bob2o2b2ob2o\$o2b3obo4bo3b2ob2o28bo5b3o\$2o14b2o75bo\$8b3o7bo30bo5b3o36b2o\$2b2o5bo9bo23bo5bob2o2b2ob2o33b2o\$6bo2bo6bo24b3o5b4o6bo\$6bo34bobo4bo4bo5bo\$14bo25bo10b2ob5o\$41bo9bo\$46bo5b4o\$43bob2o6bo\$44bo62bo\$68b2o36bo\$66b4o25bo10b3o\$65bo4bo25b2o\$65bo2b3o24b2o\$65b6o!`
Last edited by FWKnightship on July 12th, 2019, 11:09 am, edited 1 time in total.
`x = 5, y = 5, rule = B3-y/S234w2b3o\$bo\$o3bo\$o2bo\$obo!`

FWKnightship

Posts: 37
Joined: June 23rd, 2019, 3:10 am
Location: Behind you

### Re: Rules with interesting dynamics

Moosey wrote:
melwin22 wrote:Is this considered interesting? Methuselah that grows 65328 times before stabilizing, after about 92950 generations. i don't think that something similar is possible in any other outer-totallistic rule.

`x = 6, y = 6, rule = B3678/S1356783b2o\$4o\$6o\$2o2b2o\$6o\$6o!`

Reminds me of these. The fact that it's an outer-Totalistic rule is pretty cool though.

This rule can do more things than that It has not been researched - only a few similar ones has entries on apgsearch catalogue (b3678/s13567 is the closest). But by apgsearching you can't find patterns like this - a single pulse travelling at lightspeed back and forth through a wire (pretty sure that AND/OR gates can be constructed as well)

`x = 68, y = 13, rule = B3678/S1356782bobo58bobo\$4o2bobobo46bobobo2b4o\$10o2bobobobobobobobobobobobobobobobobobobobobobo3b10o\$2b64o\$3b2ob2ob49ob2ob3o\$4bo6bobobobobobobobobobobobobobobobobobobo4bobo2bo6b2o\$49bo\$4bo6bobobobobobobobobobobobobobobobobobobo4bobo2bo6b2o\$3b2ob2ob49ob2ob3o\$2b64o\$10o2bobobobobobobobobobobobobobobobobobobobobobo3b10o\$4o2bobobo46bobobo2b4o\$2bobo58bobo!`

or like this - a spacefiller

`x = 16, y = 16, rule = B3678/S1356785bo\$4bobo\$5b2o\$5b2o\$bo3b3o\$ob3ob2o2bo\$b6ob2o\$4b2o3bo\$6bo3b2o\$6b2ob6o\$5bo2b2ob3obo\$8b3o3bo\$9b2o\$9b2o\$9bobo\$10bo!`

It has also at least 7 diffrent wickstretchers, about 90 different oscillators and many more methuselahs, though this one above has the biggest FinalPopulation/InitialPopulation parameter. Another interesting one is this - from 5 cells to almost 50000.

`x = 4, y = 4, rule = B3678/S1356782bo\$ob2o2\$2bo!`

Have I discovered something worth attention?
melwin22

Posts: 17
Joined: September 9th, 2017, 5:40 am

### Re: Rules with interesting dynamics

melwin22 wrote:
Moosey wrote:
melwin22 wrote:Is this considered interesting? Methuselah that grows 65328 times before stabilizing, after about 92950 generations. i don't think that something similar is possible in any other outer-totallistic rule.

`x = 6, y = 6, rule = B3678/S1356783b2o\$4o\$6o\$2o2b2o\$6o\$6o!`

Reminds me of these. The fact that it's an outer-Totalistic rule is pretty cool though.

This rule can do more things than that ... But by apgsearching you can't find patterns like this - a single pulse travelling at lightspeed back and forth through a wire (pretty sure that AND/OR gates can be constructed as well)

`x = 68, y = 13, rule = B3678/S1356782bobo58bobo\$4o2bobobo46bobobo2b4o\$10o2bobobobobobobobobobobobobobobobobobobobobobo3b10o\$2b64o\$3b2ob2ob49ob2ob3o\$4bo6bobobobobobobobobobobobobobobobobobobo4bobo2bo6b2o\$49bo\$4bo6bobobobobobobobobobobobobobobobobobobo4bobo2bo6b2o\$3b2ob2ob49ob2ob3o\$2b64o\$10o2bobobobobobobobobobobobobobobobobobobobobobo3b10o\$4o2bobobo46bobobo2b4o\$2bobo58bobo!`

You'd be surprised— I found a searchable rule which has a semi-natural p11 or something signal source.
melwin22 wrote:
or like this - a space filler

`x = 16, y = 16, rule = B3678/S1356785bo\$4bobo\$5b2o\$5b2o\$bo3b3o\$ob3ob2o2bo\$b6ob2o\$4b2o3bo\$6bo3b2o\$6b2ob6o\$5bo2b2ob3obo\$8b3o3bo\$9b2o\$9b2o\$9bobo\$10bo!`

actually, that isn’t a spacefiller—it only has four signals going around so it’s actually a linear spacefiller (usually spacefiller means quadratic growth). Compare it with this, a quadratic spacefiller:
`x = 3, y = 1, rule = B2ce3aj4ac6ci/S01e2-c3-n4-n5678obo!`

Or these, which only fill up fractions of the plane:
`x = 17, y = 13, rule = B2ce3aj4ac6ci/S01e2-c3-n4-n567814bobo2\$16bo8\$bo2\$obo!`

Linear spacefillers, however, are often harder to find than quadratic ones, so good find!
melwin22 wrote:Have I discovered something worth attention?

There are a lot of rules like this— none of them got any attention, and this probably won’t.
I might apgsearch it but it will inevitably be forgotten.

EDIT:
I see why nobody searched it:
`b3678s135678/C1: 1 soups completed (0.003 soups/second current, 0.003 overall).`
Last edited by Moosey on July 11th, 2019, 4:42 pm, edited 1 time in total.
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

melwin22 wrote:This rule can do more things than that It has not been researched - only a few similar ones has entries on apgsearch catalogue (b3678/s13567 is the closest). But by apgsearching you can't find patterns like this - a single pulse travelling at lightspeed back and forth through a wire (pretty sure that AND/OR gates can be constructed as well)

`Wire`

That's neat! If signal turners can be constructed, maybe something can be done with this. Also, re-welcome to the forums.

Moosey wrote:There are a lot of rules like this— none of them got any attention, and this probably won’t.
I might apgsearch it but it will inevitably be forgotten.

That's kind of a depressing way to think about things. You can't say something won't get attention this soon.
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with interesting dynamics

AforAmpere wrote:
Moosey wrote:There are a lot of rules like this— none of them got any attention, and this probably won’t.
I might apgsearch it but it will inevitably be forgotten.

That's kind of a depressing way to think about things. You can't say something won't get attention this soon.

That's true. This one is a special rule, too, since it's outertotalistic as opposed to those others, and it supports signals.
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

Gustone wrote:Patterns can escape both the bounding box and the bounding diamond, but cant (sic) escape the bounding box of the bounding diamond.

Yes, they can:
`x = 5, y = 3, rule = B2cin3-i45-a6-n78/S01c234-n5-c672bo\$bobo\$5o!`

It also does in Moosey's rule:
`x = 5, y = 3, rule = B2cin3-i456-n78/S01c234-n5-c6782bo\$bobo\$5o!`
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

toroidalet

Posts: 998
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Rules with interesting dynamics

Moosey wrote:
There are a lot of rules like this— none of them got any attention, and this probably won’t.
I might apgsearch it but it will inevitably be forgotten.

EDIT:
I see why nobody searched it:
`b3678s135678/C1: 1 soups completed (0.003 soups/second current, 0.003 overall).`

You can't find anything interesting via apgsearch here, there will be only a massive clump of cells with some simple osclillators around it. You have to try symetrical, dense soups, with sides both of even and odd number of cells (e.g. a random soup filled in 90%. mirrored four times to make a symetrical pattern - even side, or with one-cell-thick space - odd side), like that:

`x = 21, y = 20, rule = B3678/S1356782ob6o3b6ob2o\$7ob2ob2ob7o\$4ob5ob5ob4o\$5ob4ob4ob5o\$b9ob9o\$5obob2ob2obob5o\$5obob2ob2obob5o\$10ob10o\$b4ob4ob4ob4o\$2b5ob2ob2ob5o\$2b5ob2ob2ob5o\$b4ob4ob4ob4o\$10ob10o\$5obob2ob2obob5o\$5obob2ob2obob5o\$b9ob9o\$5ob4ob4ob5o\$4ob5ob5ob4o\$7ob2ob2ob7o\$2ob6o3b6ob2o!`

- greater chance of getting more complex oscillators and wickstretchers, or with rotational symmetry:

`x = 20, y = 20, rule = B3678/S135678b9ob6ob2o\$12ob7o\$ob3o2b2ob5ob4o\$14ob5o\$3obo2bob10o\$2ob9obob5o\$12obob5o\$b19o\$9ob4ob4o\$4ob3o2b2ob5o\$2b5ob2o2b3ob4o\$b4ob4ob9o\$19o\$5obob12o\$5obob9ob2o\$b10obo2bob3o\$5ob14o\$4ob5ob2o2b3obo\$7ob12o\$2ob6ob9o!`

- greater chance of getting slowly-growing, long-lasting methuselahs.

Most of patterns looks similar - big clusters, filled up almost entirely, with oscillators and stabilizers around. I call this rule "Castles"

For wires, it's another story. Simple way to get a infinitely long wire is a pair of c/2 wickstretchers

`x = 4, y = 15, rule = B3678/S1356782bo\$4o\$b2o\$2o\$b2o\$4o\$2bo2\$2bo\$4o\$b2o\$2o\$b2o\$4o\$2bo!`

and search for interactions between signals and different oscillators or stabilizers.
melwin22

Posts: 17
Joined: September 9th, 2017, 5:40 am

### Re: Rules with interesting dynamics

This is an oscillator with an inner RRO-type behaviour, but it requires 5 rounds to get the initial pattern:
`x = 6, y = 5, rule = B2-ai3eiry4nrwz5-cjry6eik7c8/S02i3cejkr4-cjnq5-cij6-ai82bo\$obo\$bo3bo\$2bo\$5bo!`

2718281828

Posts: 736
Joined: August 8th, 2017, 5:38 pm

### Re: Rules with interesting dynamics

Another counterexample in gustone's rule

`x = 9, y = 9, rule = B2cin3-i45-a6-n78/S01c234-n5-c674bo\$3bobo\$2b5o\$b7o\$ob5obo\$b7o\$2b5o\$3bobo\$4bo!`

testitemqlstudop

Posts: 967
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

### Re: Rules with interesting dynamics

This might be a fun one to apgsearch and otherwise investigate.
It has a c/3d, a caterpillar-type crawler, and many even-period oscs:
`x = 60, y = 19, rule = B2-ak3aj/S02cei3ir4i58bo\$59bo3\$55bo\$54bo3\$50bo\$51bo3\$47bo\$46bo\$13bo\$bo10bo13bo17bo\$o42bo\$10bo12bo2bo\$27bo!`

And a common 8-cell SL.
`x = 21, y = 4, rule = B2-ak3aj/S02cei3ir4i13bo\$4bo13bobo\$obobo6bo\$4bo!`

Adding S1c makes soups sparser and makes a certain familiar (pseudo) SL much more common:
`x = 3, y = 3, rule = B2-ak3aj/S01c2cei3ir4i2bo2\$o!`

Looks pretty construction arm-able:
`x = 77, y = 10, rule = B2-ak3aj/S01c2cei3ir4i69bo\$2bo18bo30bo\$67bobo\$obo16bobo28bobo\$76bo4\$59bo\$9bo17bo!`

Another familiar object, but completely different:
`x = 13, y = 13, rule = B2-ak3aj/S01c2cei3ir4i4bo3bo\$6bo\$5bobo\$3bobobobo\$o5bo5bo\$2b2o5b2o\$bo2bo3bo2bo\$2b2o5b2o\$o5bo5bo\$3bobobobo\$5bobo\$6bo\$4bo3bo!`

`x = 24, y = 9, rule = B2-ak3aj/S01c2cei3ir4io2\$2bo4\$6bo13bo\$17bob3obo\$20bo!`

Perhaps the xs8 should be a construction arm:
`x = 23, y = 20, rule = B2-ak3aj/S01c2cei3ir4i20b3o\$20bobo\$20b3o7\$12bobo2\$14bo6\$obo2\$2bo!`

Familiar things part 204372
`x = 5, y = 5, rule = B2-ak3aj/S01c2cei3ir4i3o\$o2bo\$o3bo\$bo2bo\$2b3o!`

Chomp!
`x = 10, y = 10, rule = B2-ak3aj/S01c2cei3ir4i7bo2\$7bobo3\$o4\$4bo!`

Looked like a ship:
`x = 10, y = 10, rule = B2-ak3aj/S01c2cei3ir4io\$9bo2\$3bo2\$5bo\$6bo3\$bo!`

EDIT: this (unrelated) rule has a sort of “gravitation”:
`x = 52, y = 3, rule = B2a3r4i/S3i45e2o48bo\$2o47b3o\$50bo!`

Repulsion:
`x = 8, y = 3, rule = B2a3r4i/S3i4et5e2o4bo\$2o3b3o\$6bo!`

This rule might be fun to play with:
`x = 16, y = 16, rule = B2ak3r4i/S3i4ent5er2bo2\$2b2o10\$3bo9bo\$bo2bo6bo2bo\$6o4b6o\$bo2bo6bo2bo!`

`x = 11, y = 3, rule = B2ak3r4i/S3i4ent5erbo7b2o\$3o6b2o\$bo!`

`x = 5, y = 6, rule = B2ak3r4i/S3i4ent5erobo\$o3bo2\$b2o\$o\$obo!`

One with infinitely many guns:
`x = 15, y = 4, rule = B2ak3ir4i/S3i4ent5er10b2obo\$bo2bobo5b3o\$3obo6bobo\$bo!`

This one is very fun and fertile for a B2a rule.
Sawtooth 30:
`x = 50, y = 11, rule = B2ak3ir4i/S3i4ent5erobo\$o\$obo45bo\$obo44b3o\$obo45bo\$obo\$obo45bo\$obo44b3o\$obo45bo\$o\$obo!`

Amusing:
`x = 14, y = 3, rule = B2ak3ir4i/S3i4ent5er12bo\$2o9b3o\$2o10bo!`

Try adding s4q and running that pattern!

Breeder:
`x = 8, y = 7, rule = B2ak3ir4i/S3i4ent5er3bobo\$3bo\$o\$obo2\$5bobo\$5bo!`

This isn’t even a caber tosser, is it?
`x = 13, y = 11, rule = B2ak3ir4i/S3i4ent5erobo\$o\$o\$o10bo\$o9b3o\$o10bo\$o\$o\$o\$o\$obo!`

Would it happen to be slog growth (inverse tetragonal)?
EDIT:
pop-plot.py supplies:
`x = 548, y = 522, rule = B3/S233bo5bo3b3o\$2b2o4b2o2bo3bo\$bobo3bobo6bo\$o2bo2bo2bo4b2o11b2o\$5ob5o5bo10b2o\$3bo5bo2bo3bo10b2o\$3bo5bo3b3o11b2o\$27b2o\$27b2o\$27b4o2bo4bo8bo\$27b4o2bo4bo8bo\$27b4o2bo4bo8bo\$27b4o2bo4bo8bo\$27b4o2bo4bo8bo\$27b4o2bo4bo8bo\$27b5ob3o2b3o2bo3bob2obo368bo77bo\$27b5ob3o2b3o2bo3bob2obo368bo77bo\$27b5ob3o2b3o2bo3bob2obo368bo77bo\$27b5ob3o2b3o2bo3bob2obo368bo77bo\$27b5ob3o2b3o2bo3bob2obo368bo77bo\$27b5ob3o2b3o2bo3bob2obo368bo77bo\$27b5ob4ob4ob3obob4ob2o365b3o2bo3bo9bo19bo38b2obobo4bo9bo\$27b5ob4ob4ob3obob4ob2o365b3o2bo3bo9bo19bo38b2obobo4bo9bo\$27b5ob4ob4ob3obob4ob2o365b3o2bo3bo9bo19bo38b2obobo4bo9bo\$27b5ob4ob4ob3obob4ob2o365b3o2bo3bo9bo19bo38b2obobo4bo9bo\$27b5ob4ob4ob3obob4ob2o365b3o2bo3bo9bo19bo38b2obobo4bo9bo\$27b5ob4ob4ob3obob4ob2o365b3o2bo3bo9bo19bo38b2obobo4bo9bo\$27b5ob4ob4ob5ob4ob3o364b4ob3obob2obo4b2obobo4bo9b3o2bo4bo9bo18b2ob4obob3o2bo4b3o2bo\$27b5ob4ob4ob5ob4ob3o364b4ob3obob2obo4b2obobo4bo9b3o2bo4bo9bo18b2ob4obob3o2bo4b3o2bo\$27b5ob4ob4ob5ob4ob3o364b4ob3obob2obo4b2obobo4bo9b3o2bo4bo9bo18b2ob4obob3o2bo4b3o2bo\$27b5ob4ob4ob5ob4ob3o364b4ob3obob2obo4b2obobo4bo9b3o2bo4bo9bo18b2ob4obob3o2bo4b3o2bo\$27b15ob5ob4ob3o364b4ob3obob2obo4b2obobo4bo9b3o2bo4bo9bo18b2ob4obob3o2bo4b3o2bo\$27b15ob5ob4ob3o364b4ob3obob2obo4b2obobo4bo9b3o2bo4bo9bo18b2ob4obob3o2bo4b3o2bo\$27b15ob5ob4ob3o356bo2bo4b4ob5ob4ob2ob2ob4obob2obobo4b3ob4o2b3o2bo4b3obo4bo9b2ob4ob5ob4o2b4ob3o\$27b15ob5ob4ob3o356bo2bo4b4ob5ob4ob2ob2ob4obob2obobo4b3ob4o2b3o2bo4b3obo4bo9b2ob4ob5ob4o2b4ob3o\$27b15ob5ob4ob3o356bo2bo4b4ob5ob4ob2ob2ob4obob2obobo4b3ob4o2b3o2bo4b3obo4bo9b2ob4ob5ob4o2b4ob3o\$27b26ob3o356bo2bo2b6ob5ob4ob2ob2ob4obob2obobo4b3ob4o2b3o2bo4b3obo4bo8b3ob4ob5ob4o2b4ob3o\$27b26ob3o356bo2bo2b6ob5ob4ob2ob2ob4obob2obobo4b3ob4o2b3o2bo4b3obo4bo8b3ob4ob5ob4o2b4ob3o\$27b26ob3o356bo2bo2b6ob5ob4ob2ob2ob4obob2obobo4b3ob4o2b3o2bo4b3obo4bo8b3ob4ob5ob4o2b4ob3o\$27b26ob3o356b2ob9ob5ob4ob5ob4ob4ob5o2b3ob5ob4ob3o2b5ob2obob2obo3b3ob4ob5ob4ob5ob3o\$27b26ob3o356b2ob9ob5ob4ob5ob4ob4ob5o2b3ob5ob4ob3o2b5ob2obob2obo3b3ob4ob5ob4ob5ob3o\$27b26ob3o356b2ob9ob5ob4ob5ob4ob4ob5o2b3ob5ob4ob3o2b5ob2obob2obo3b3ob4ob5ob4ob5ob3o\$27b30o356b2ob15ob4ob5ob4ob4ob5ob4ob5ob4ob3o2b5ob2obob2obo3b8ob5ob4ob5ob3o\$27b30o356b2ob15ob4ob5ob4ob4ob5ob4ob5ob4ob3o2b5ob2obob2obo3b8ob5ob4ob5ob3o\$27b30o356b2ob15ob4ob5ob4ob4ob5ob4ob5ob4ob3o2b5ob2obob2obo3b8ob5ob4ob5ob3o\$27b30o356b2ob15ob4ob5ob4ob4ob5ob4ob5ob4ob4ob5ob4ob5ob9ob5ob4ob5ob3o\$27b30o356b2ob15ob4ob5ob4ob4ob5ob4ob5ob4ob4ob5ob4ob5ob9ob5ob4ob5ob3o\$27b30o356b2ob15ob4ob5ob4ob4ob5ob4ob5ob4ob4ob5ob4ob5ob9ob5ob4ob5ob3o\$27b31o355b2ob20ob10ob4ob5ob4ob10ob10ob4ob5ob15ob4ob9o\$27b31o355b2ob20ob10ob4ob5ob4ob10ob10ob4ob5ob15ob4ob9o\$27b31o355b2ob20ob10ob4ob5ob4ob10ob10ob4ob5ob15ob4ob9o\$27b31o355b2ob20ob10ob4ob5ob4ob10ob10ob4ob5ob15ob4ob9o\$27b31o355b2ob20ob10ob4ob5ob4ob10ob10ob4ob5ob15ob4ob9o\$27b31o355b2ob20ob10ob4ob5ob4ob10ob10ob4ob5ob15ob4ob9o\$27b31o355b45ob26ob4ob5ob20ob9o\$27b31o355b45ob26ob4ob5ob20ob9o\$27b31o283bo71b45ob26ob4ob5ob20ob9o\$27b31o283bo71b45ob26ob4ob5ob20ob9o\$27b31o283bo71b45ob26ob4ob5ob20ob9o\$27b31o283bo71b45ob26ob4ob5ob20ob9o\$27b31o283bo71b45ob37ob30o\$27b31o283bo71b45ob37ob30o\$27b31o283bo71b45ob37ob30o\$27b31o283bo71b45ob37ob30o\$27b31o283bo71b45ob37ob30o\$27b31o283bo71b45ob37ob30o\$27b31o8bo38bo78bo156bo70b115o\$27b31o8bo38bo78bo156bo70b115o\$27b31o8bo38bo78bo156bo70b115o\$27b31o8bo38bo78bo156bo70b115o\$27b31o8bo38bo78bo156bo70b115o\$27b31o8bo38bo78bo156bo70b115o\$27b31o8b3o2bo4bo8bo19b2obobo4bo9bo18bo39b3o2bo4bo8bo19bo38bo78b3o2bo4bo8bo19bo31b115o\$27b31o8b3o2bo4bo8bo19b2obobo4bo9bo18bo39b3o2bo4bo8bo19bo38bo78b3o2bo4bo8bo19bo31b115o\$27b31o8b3o2bo4bo8bo19b2obobo4bo9bo18bo39b3o2bo4bo8bo19bo38bo78b3o2bo4bo8bo19bo31b115o\$27b31o8b3o2bo4bo8bo19b2obobo4bo9bo18bo39b3o2bo4bo8bo19bo38bo78b3o2bo4bo8bo19bo31b115o\$27b31o8b3o2bo4bo8bo19b2obobo4bo9bo18bo39b3o2bo4bo8bo19bo38bo78b3o2bo4bo8bo19bo31b115o\$27b31o8b3o2bo4bo8bo19b2obobo4bo9bo18bo39b3o2bo4bo8bo19bo38bo78b3o2bo4bo8bo19bo31b115o\$27b32o2bo4b8o2b3o2bo3b4obo4bo9b8o2b3o2bo4b3o2bo4bo8b4obo4bo9bo19b4ob3o2b3obo4b4obo4bo9b3o2bo4bo9bo18b2obobo4bo9bo19bo38b4ob3o2b3o2bo3b4obo4bo9b2obobo4bo9bo11b115o\$27b32o2bo4b8o2b3o2bo3b4obo4bo9b8o2b3o2bo4b3o2bo4bo8b4obo4bo9bo19b4ob3o2b3obo4b4obo4bo9b3o2bo4bo9bo18b2obobo4bo9bo19bo38b4ob3o2b3o2bo3b4obo4bo9b2obobo4bo9bo11b115o\$27b32o2bo4b8o2b3o2bo3b4obo4bo9b8o2b3o2bo4b3o2bo4bo8b4obo4bo9bo19b4ob3o2b3obo4b4obo4bo9b3o2bo4bo9bo18b2obobo4bo9bo19bo38b4ob3o2b3o2bo3b4obo4bo9b2obobo4bo9bo11b115o\$27b32o2bo4b8o2b3o2bo3b4obo4bo9b8o2b3o2bo4b3o2bo4bo8b4obo4bo9bo19b4ob3o2b3obo4b4obo4bo9b3o2bo4bo9bo18b2obobo4bo9bo19bo38b8o2b3o2bo3b4obo4bo9b2obobo4bo9bo11b115o\$27b32o2bo4b8o2b3o2bo3b4obo4bo9b8o2b3o2bo4b3o2bo4bo8b4obo4bo9bo19b4ob3o2b3obo4b4obo4bo9b3o2bo4bo9bo18b2obobo4bo9bo19bo38b8o2b3o2bo3b4obo4bo9b2obobo4bo9bo11b115o\$27b37o2b9ob4ob3ob9ob4obo4b18o2b4ob3o2b3obo4b9ob2obobo4b3o2bo4bo9b9ob8ob7obob2obobo4b8o2b3o2bo4b3o2bo3bo9b7obob2obobo4b3o2bo4bo9b3obo4bo9bo19b9ob4ob3ob9ob4obo4b8o2b3o2bo4b3o2bo4bob115o\$27b37o2b9ob4ob3ob9ob4obo4b18o2b4ob3o2b3obo4b9ob2obobo4b3o2bo4bo9b9ob8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bo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo21bo3bo2bobo2bo3bo3bo169bo3bobo3bobo3bobo5bo5bo3bobo3bo\$24bo2b2o186bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5obo3bobo3bobo2b2o3bo173bo5bo5bobo5bo9bo5bo\$24bobobo186bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo3bo3bobo3bo8b3o8bobobo3bo171b2o4b2o4b2o2b4o2b4o5bo5bo\$24b2o2bo186bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5obo3bo7b2o2bo3bo173bo5bo5bobo3bobo3bo3bo5bo\$24bo3bo186bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo7bo3bo7bo3bo3bo169bo3bobo3bobo3bobo3bobo3bo2bo5bo\$25b3o188b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o9b3o3bo171b3o3b3o3b3o3b3o3b3o2b5ob5o\$305bo\$305bo!`

I should Imagine that most of that population isn't output, but regardless, over THREE MILLION GENERATIONS nothing much happens to the population-- it changes to about 400 but the actual amount of gliders released is exactly three.
Despite the fact that the whole pattern's bounding box is some 6 million long, I can copy all the ships released and post them here:
`x = 547, y = 3, rule = B2ak3ir4i/S3i4ent5erobo509bobo29bobo\$2bo511bo31bo\$obo509bobo29bobo!`

Yeah, this is definitely slower than Log.

Reflectors:
`x = 17, y = 11, rule = B2ak3ir4i/S3i4ent5er8bo\$5bob3o3bo\$4b3obo3b3o\$5bo7bobo\$obo11b3o\$2bo12bo\$obo2\$12bo\$11b3o\$12bo!`

`x = 17, y = 11, rule = B2ak3ir4i/S3i4ent5er8bo\$5bob3o3bo\$4b3obo3b3o\$5bo7bobo\$obo11b3o\$2bo12bo\$obo2\$11bo\$10b3o\$11bo!`

Also:
`x = 36, y = 13, rule = B2ak3ir4i/S3i4ent5erobo\$o\$o18bo\$o10bo6b3o\$o9b3o6bo\$o10bo\$o33bo\$o32b3o\$o33bo\$o\$obo25bo\$27b3o\$28bo!`

Also a super-sawtooth, I think:
`x = 31, y = 26, rule = B2ak3ir4i/S3i4ent5er13bo\$12b3o\$13bo7\$obo\$o\$o\$o28bo\$o27b3o\$o28bo\$o15bo\$o14b3o\$o15bo\$o\$obo4\$13bo\$12b3o\$13bo!`

`x = 557, y = 522, rule = B3/S23b3o3b3o3b3o4bo4b3o\$o3bobo5bo3bo2b2o3bo3bo\$4bobo5bo3bo3bo7bo\$3bo2b4o3b3o4bo6bo11bo204bo81bo163bo\$2bo3bo3bobo3bo3bo5bo12bo163b336o\$bo4bo3bobo3bo3bo4bo13bo163b337o\$5o2b3o3b3o3b3o2b5o10bo163bo40bo19bo9bo4bo2b4o40bo19bo9bo4bo2b4o19bo9bo4bo2b3o10bo4bobob2o4bo2b3o2b3ob4o40bo20bo9bo4bo2b3o\$39bo163bo\$39bo163bo\$39bo162b2o\$39bo162bo\$39bo162bo\$39bo162bo\$39bo162bo\$39bo162bo\$39bo162bo\$39bo161b2o\$39bo161bo\$39bo161bo\$39bo161bo\$39bo161bo\$39bo161bo\$39bo161bo\$39bo160b2o\$39bo160b2o\$39bo160bo\$39bo160bo\$39bo160bo\$39bo160bo\$39bo160bo\$39bo160bo\$39bo159b2o\$39bo159b2o\$39bo159bo\$39bo159bo\$39bo159bo\$39bo159bo\$39bo159bo\$39bo158b2o\$39bo158b2o\$39bo158bo\$39bo158bo\$39bo158bo\$39bo158bo\$39bo158bo\$39bo158bo\$39bo157b2o\$39bo157bo\$39bo157bo\$39bo157bo\$39bo157bo\$39bo157bo\$39bo157bo\$39bo156b2o\$39bo156b2o\$39bo156bo\$39bo156bo\$39bo156bo\$39bo156bo\$39bo156bo\$39bo156bo\$39bo155b2o\$39bo155bo\$39bo155bo\$39bo155bo\$39bo155bo\$39bo155bo\$39bo155bo\$39bo154b2o\$39bo154b2o\$39bo154bo\$39bo154bo\$39bo154bo\$39bo154bo\$39bo154bo\$39bo154bo\$39bo153b2o\$39bo153bo\$39bo153bo\$39bo153bo\$39bo153bo\$39bo153bo\$39bo153bo\$39bo152b2o\$39bo152b2o\$39bo152bo\$39bo152bo\$39bo152bo\$39bo152bo\$39bo152bo\$39bo152bo\$39bo151b2o\$39bo151bo\$39bo151bo\$39bo151bo\$39bo151bo\$39bo151bo\$39bo151bo\$39bo150b2o\$39bo150b2o\$39bo150bo\$39bo150bo\$39bo150bo\$39bo150bo\$39bo150bo\$39bo150bo\$39bo149b2o\$39bo149bo\$39bo149bo\$39bo149bo\$39bo149bo\$39bo149bo\$39bo149bo\$39bo148b2o\$39bo148b2o\$39bo148bo\$39bo148bo\$39bo148bo\$39bo148bo\$39bo148bo\$39bo147b2o\$39bo147b2o\$39bo147bo\$39bo147bo\$39bo147bo\$39bo147bo\$39bo147bo\$39bo147bo\$39bo146b2o\$39bo146b2o\$39bo146bo\$39bo146bo\$39bo146bo\$39bo146bo\$39bo146bo\$39bo145b2o\$39bo145b2o\$39bo145bo\$39bo145bo\$39bo145bo\$39bo145bo\$39bo145bo\$39bo145bo\$39bo144b2o\$39bo144bo\$39bo144bo\$39bo144bo\$39bo144bo\$39bo144bo\$39bo144bo\$39bo144bo\$39bo143b2o\$39bo143bo\$39bo143bo\$39bo143bo\$39bo143bo\$39bo143bo\$39bo143bo\$39bo142b2o\$39bo142bo\$39bo142bo\$39bo142bo\$39bo142bo\$39bo142bo\$39bo142bo\$39bo141b2o\$39bo141b2o\$39bo141bo\$39bo141bo\$39bo141bo\$39bo141bo\$39bo141bo\$39bo140b2o\$39bo140b2o\$39bo140bo\$39bo140bo\$39bo140bo\$39bo140bo\$39bo140bo\$39bo140bo\$39bo139b2o\$39bo139b2o\$39bo139bo\$39bo139bo\$39bo139bo\$39bo139bo\$39bo139bo\$39bo138b2o\$39bo138b2o\$39bo138bo\$39bo138bo\$39bo138bo\$39bo138bo\$39bo138bo\$39bo138bo\$39bo137b2o\$39bo137bo\$39bo137bo\$39bo137bo\$39bo137bo\$39bo137bo\$39bo137bo\$39bo136b2o\$39bo136b2o\$39bo136bo\$39bo136bo\$39bo136bo\$39bo136bo\$39bo136bo\$39bo136bo\$39bo135b2o\$39bo135b2o\$39bo135bo\$39bo135bo\$39bo135bo\$39bo135bo\$39bo135bo\$39bo135bo\$39bo134b2o\$39bo134bo\$39bo134bo\$39bo134bo\$39bo134bo\$39bo134bo\$22b7o10bo134bo\$25bo13bo133b2o\$24bo14bo133bo\$23bo15bo133bo\$22b7o10bo133bo\$39bo133bo\$23b5o11bo133bo\$22bo5bo10bo133bo\$22bo5bo10bo132b2o\$22bo5bo10bo132b2o\$23b5o11bo132bo\$39bo132bo\$39bo132bo\$22bo5bo10bo132bo\$22b7o10bo132bo\$22bo5bo10bo132bo\$39bo131b2o\$39bo131bo\$22bo16bo131bo\$22bo16bo131bo\$22b7o10bo131bo\$22bo16bo131bo\$22bo16bo131bo\$39bo131bo\$23b6o10bo130b2o\$22bo2bo13bo130bo\$22bo2bo13bo130bo\$22bo2bo13bo130bo\$23b6o10bo130bo\$39bo130bo\$28bo10bo130bo\$28bo10bo129b2o\$28bo10bo129bo\$28bo10bo129bo\$22b7o10bo129bo\$39bo129bo\$22b6o11bo129bo\$28bo10bo129bo\$28bo10bo128b2o\$28bo10bo128b2o\$22b6o11bo128bo\$39bo128bo\$23b2o14bo128bo\$22bo2bo13bo128bo\$22bo2bo13bo128bo\$22bo2bo13bo128bo\$22b7o10bo127b2o\$39bo127bo\$23b5o11bo127bo\$22bo5bo10bo127bo\$22bo5bo10bo127bo\$22bo5bo10bo127bo\$23b5o11bo127bo\$39bo126b2o\$23b2o14bo126b2o\$22bo2bo13bo126bo\$22bo2bo13bo126bo\$22bo2bo13bo126bo\$22b7o10bo126bo\$39bo126bo\$39bo126bo\$39bo125b2o\$39bo125bo\$39bo125bo\$39bo125bo\$39bo125bo\$39bo125bo\$39bo125bo\$39bo124b2o\$39bo124b2o\$39bo124bo\$39bo124bo\$39bo124bo\$39bo124bo\$39bo124bo\$39bo124bo\$39bo123b2o\$39bo123bo\$39bo123bo\$39bo123bo\$39bo123bo\$39bo123bo\$39bo123bo\$39bo122b2o\$39bo122b2o\$39bo122bo\$39bo122bo\$39bo122bo\$39bo122bo\$39bo121b2o\$39bo121b2o\$39bo121bo\$39bo121bo\$39bo120b2o\$39bo120b2o\$39bo120bo\$39bo120bo\$39bo120bo\$39bo119b2o\$39bo119b2o\$39bo119bo\$39bo119bo\$39bo119bo\$39bo118b2o\$39bo118b2o\$39bo118bo\$39bo118bo\$39bo117b2o\$39bo117b2o\$39bo117bo\$39bo117bo\$39bo117bo\$39bo116b2o\$39bo116b2o\$39bo116bo\$39bo116bo\$39bo116bo\$39bo115b2o\$39bo115bo\$39bo115bo\$39bo115bo\$39bo115bo\$39bo114b2o\$39bo114bo\$39bo114bo\$39bo114bo\$39bo113b2o\$39bo113b2o\$39bo113bo\$39bo113bo\$39bo113bo\$39bo112b2o\$39bo112bo\$39bo112bo\$39bo112bo\$39bo112bo\$39bo111b2o\$39bo111bo\$39bo111bo\$39bo111bo\$39bo110b2o\$39bo110b2o\$39bo110bo\$39bo110bo\$39bo110bo\$39bo109b2o\$39bo109bo\$39bo109bo\$39bo109bo\$39bo108b2o\$39bo108b2o\$39bo108bo\$39bo108bo\$39bo108bo\$39bo107b2o\$39bo107b2o\$39bo107bo\$39bo107bo\$39bo106b2o\$39bo106b2o\$39bo106bo\$39bo106bo\$39bo106bo\$39bo105b2o\$39bo105b2o\$39bo105bo\$39bo105bo\$39bo105bo\$39bo104b2o\$39bo104b2o\$39bo104bo\$39bo104bo\$39bo104bo\$39bo103b2o\$39bo103bo\$39bo103bo\$39bo103bo\$39bo102b2o\$39bo102b2o\$39bo102bo\$39bo102bo\$39bo102bo\$39bo101b2o\$39bo101b2o\$39bo101bo\$39bo101bo\$39bo101bo\$39bo100b2o\$39bo100b2o\$39bo100bo\$39bo100bo\$39bo100bo\$39bo99b2o\$39bo99bo\$39bo99bo\$39bo99bo\$39bo98b2o\$39bo98b2o\$39bo98bo\$39bo98bo\$39bo98bo\$39bo97b2o\$39bo97bo\$39bo97bo\$39bo97bo\$39bo96b2o\$39bo96b2o\$39bo96bo\$39bo96bo\$39bo96bo\$39bo95b2o\$39bo95b2o\$39bo95bo\$39bo95bo\$39bo95bo\$39bo94b2o\$39bo94b2o\$39bo94bo\$39bo94bo\$39bo93b2o\$39bo93b2o\$39bo93bo\$39bo93bo\$39bo93bo\$39bo92b2o\$39bo92b2o\$39bo92bo\$39bo92bo\$39bo92bo\$39bo91b2o\$39bo91bo\$39bo91bo\$39bo91bo\$39bo90b2o\$39bo90b2o\$39bo90bo\$39bo90bo\$39bo90bo\$39bo89b2o\$39bo89b2o\$39bo89bo\$39bo89bo\$39bo89bo\$39bo88b2o\$39bo88bo\$39bo88bo\$39bo88bo\$39bo88bo\$39bo87b2o\$39bo87bo\$39bo87bo\$39bo87bo\$39bo86b2o\$39bo86b2o\$39bo86bo\$39bo86bo\$39bo86bo\$39bo85b2o\$39bo85bo\$39bo85bo\$39bo85bo\$39bo84b2o\$39bo84b2o\$39bo84bo\$39bo84bo\$39bo84bo\$39bo83b2o\$39bo83bo\$39bo83bo\$39bo83bo\$39bo83bo\$39bo82b2o\$39bo82bo\$39bo82bo\$39bo82bo\$19b3o3b3o11bo81b2o\$18bo3bobo3bo10b7obob4obo5b3o2bo4bo9bo40b2o\$22bo5bo10b42o40bo\$20b2o4b2o11b83o\$22bo5bo10b501o\$18bo3bobo3bo\$19b3o3b3o8\$37b3o188b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo33b3o4bo4b3o3bo175bo4b3o3b3o3b3o3b3o3b3o\$36bo3bo186bo3bobo5b2o2bobo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo21bo3bo2bobo2bo3bo3bo173b2o3bo3bobo3bobo3bobo3bobo3bo\$36bo2b2o186bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5obo3bobo3bobo2b2o3bo174bo3bo2b2obo2b2obo2b2obo2b2obo2b2o\$36bobobo186bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo3bo3bobo3bo8b3o8bobobo3bo174bo3bobobobobobobobobobobobobobobo\$36b2o2bo186bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5obo3bo7b2o2bo3bo174bo3b2o2bob2o2bob2o2bob2o2bob2o2bo\$36bo3bo186bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo7bo3bo7bo3bo3bo174bo3bo3bobo3bobo3bobo3bobo3bo\$37b3o188b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o9b3o3bo174b3o3b3o3b3o3b3o3b3o3b3o\$317bo\$317bo!`

Flat tooth.

After nigh-2 billion gens it looks like this:
`x = 32931, y = 11, rule = 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Pseudoheisenburp:
`x = 18, y = 14, rule = B2ak3ir4i/S3i4ent5erbo6bo\$3o4b3o\$bo6bo9\$3b4o7b4o2\$3bo2bo7bo2bo!`

p3:
`x = 8, y = 5, rule = B2ak3ir4i/S3i4ent5erbo\$4o\$bobo2bo\$5b3o\$6bo!`

EDIT:
This rule is basically the same, but the block-stretcher gets pushed when it hits something
`x = 22, y = 14, rule = B2ak3ir4i5y/S3i4ent5er13bo\$12b3o5b2o\$13bo6b2o\$obo\$o\$o\$o12bo\$o11b3o\$o12bo\$o\$o\$o\$o\$obo!`

If the above object stabilizes, it does so after...
A VERY long time.

I have reason to believe this one stabilizes.
Does anyone have an estimate on when, and did I break the 2^500 or whatever record?
`x = 32, y = 14, rule = B2ak3ir4i5y/S3i4ent5er14bo\$13b3o14b2o\$obo11bo15b2o\$o\$o\$o12bo\$o11b3o\$o12bo\$o\$o\$o17bo\$o14bob3o\$obo11b3obo\$15bo!`

EDIT: GMOSS (Gun Made of Oscillators and SpaceShips)
`x = 9, y = 17, rule = B2ak3ir4i5y/S3i4ent5erbo2bo\$6obo\$bo2bob3o\$3bo3bo\$6bo\$5b3o\$6bo8\$3b2o2\$4bo!`

Slow reflector:
`x = 42, y = 14, rule = B2ak3ir4i5y/S3i4ent5er7bo\$6b3o\$7bo3\$8bo\$7b3o\$8bo\$bo2bo12bobo19bobo\$6o11bo21bo\$bo2bo12bobo19bobo\$5bo2bo\$4b6o\$5bo2bo!`

Repeat time 22.
Sqrtgun mechanism:
`x = 24, y = 7, rule = B2ak3ir4i5y/S3i4ent5er2o\$2o2\$22bo\$17bo3b3o\$16b3o3bo\$17bo!`

P4 wick:
`x = 24, y = 22, rule = B2ak3ir4i5y/S3i4ent5er20bo\$19b3o\$20bobo\$17bo3b3o\$17bo4bo2\$14b2o2\$12bo\$12bo2\$9b2o2\$7bo\$7bo2\$4b2o\$bo\$3o\$bobo\$2b3o\$3bo!`

All even periods (save 2, which seems more difficult) can be constructed that way:

`x = 35, y = 15, rule = B2ak3ir4i5y/S3i4ent5er16bo4bo\$15b3o2b3o\$16bo4bo\$12bo13bo\$12bo13bo3\$8b2o\$30b2o2\$5bo\$5bo\$bo31bo\$3o29b3o\$bo31bo!`

Does anyone have a p5 or p7? Those are the only missing periods for omniperiodicity since there is a repeat time 8 reflector.
`x = 121, y = 21, rule = B2ak3ir4i5y/S3i4ent5er18bo2bo15bo\$17b6o13b3o63bo\$18bo2bo15bobo26bo34b3o\$2bo12bo8bo9bo3b3o24b3o32bobo7bobo5bobo\$b3o10b3o2b2o2b3o8bo4bo26bo32b3o8bo7bo\$obo12bo2bo2bo2bo37bo37bo4bo4bobo5bobo\$2bo12bo2bo2bo2bo6b2o29bo37bo3b3o\$b3o10b3o2b2o2b3o21b3o49b3o3bobo\$2bo12bo8bo4bo19bo27b3o20bo5b3o\$18bo2bo6b3o16b3o8b2o19bo27bo\$17b6o6bobo45b3o\$18bo2bo8b3o14bo\$31bo24bo20bo\$55b3o\$56bo\$18bo\$17b4o79b3o\$18bo81bobo2bo\$20bo79b3ob3o\$18b4o78bobo2bo\$20bo79b3o!`

Though technically the reflector doesn't make terribly small p8s as opposed to the p9:
`#c p9x = 22, y = 22, rule = B2ak3ir4i5y/S3i4ent5er3bo2bo\$2b6o5bo\$3bo2bobo3b3o5bo\$7b3o3bobobob3o\$3bob2obo5b3o3bo\$4bo7bo2bobo2bo\$3b3o6bo4bob3o\$2bobo5bobo5bobo\$b3o13b3o\$2bo2b3o10bo\$14bo\$7bo\$3bo10b3o2bo\$2b3o13b3o\$bobo5bobo5bobo\$3obo4bo6b3o\$bo2bobo2bo7bo\$bo3b3o5bob2obo\$3obobobo3b3o\$bo5b3o3bobo2bo\$8bo5b6o\$15bo2bo!`

`#c p8x = 29, y = 29, rule = B2ak3ir4i5y/S3i4ent5er3bo2bo\$2b6o12bo\$3bo2bobo10b3o5bo\$5bob3o10bobo3b3o\$8bo12b3o3bo\$4bo5bo5bobo3bo2bobo\$3b3o4bo7bo7b3o\$2bobo3bobo5bobo6bobo\$b3o17bo2b3o\$2bo22bo\$5b3o13b3o2\$5bobo4\$21bobo2\$5b3o13b3o\$3bo22bo\$2b3o2bo17b3o\$bobo6bobo5bobo3bobo\$3o7bo7bo4b3o\$bobo2bo3bobo5bo5bo\$bo3b3o12bo\$3o3bobo10b3obo\$bo5b3o10bobo2bo\$8bo12b6o\$22bo2bo!`

`#c reflectorx = 13, y = 9, rule = B2ak3ir4i5y/S3i4ent5er4bo\$3b3o5bo\$4bobo3b3o\$5b3o3bo\$obo3bo4bo\$2bo7b3o\$obo6bobo\$8b3o\$9bo!`

EDIT:
p5!
Now we just need p7.
`x = 6, y = 10, rule = B2ak3ir4i5y/S3i4ent5erbo\$3obo\$bob3o\$bo2bo\$3o\$bo2\$bo2bo\$6o\$bo2bo!`

EDIT:
Yay!
`x = 8, y = 12, rule = B2ak3ir4i5y/S3i4ent5er2bo\$b3obo\$2bob3o\$2bo2bo\$b3o2bo\$2bo2b3o\$bo4bo\$4o\$bo4bo\$bo3b3o\$3o3bo\$bo!`
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

Sorry to double post, but THIS RULE IS BEYOND COOL.
Search it; it's nonexplosive, fast-searching, and Pds are AROUND AS COMMON AS BLINKERS.
I'm going to call it Pendecathlife
`x = 56, y = 16, rule = B34e5y6cn8/S234c5e40b2ob3ob2ob3obo\$42b3ob2obobo3bo\$41bo2bob6ob2o\$41bo2b5o3bo2bo\$40bo2b4o2bobob2o\$40bo2bob2ob2ob3o\$42bo2bo4b2o\$41b3obo2bob4o\$45b3ob7o\$41b2o2b2obo4bo\$42b2o4bo4b2o\$41b2o3b5ob3o\$43b2o2b6o2bo\$40b2o2bo2bo4bobo\$46b3obob3o\$6o37b3obo6b2o!`

Note: There is also a fairly common p14.
Bonus note: The pd differs in one phase.

EDIT:
By searching, I found this:
`x = 10, y = 10, rule = B34e5y6cn8/S234c5e6b3o\$4b2o3bo\$2bo5b2o\$8bo\$bo3b2o\$bo2bo\$o3bo\$o\$ob2o\$b2o!`

c/17d!
This rule deserves a thread, I think.
Additional ships include a c/18o, the hatship and a related c/3, all basic c/2os from CGoL, and the G of course.
EDIT:
Can't believe I found this!
`x = 6, y = 6, rule = B34e5y6cn8/S234c5e2o\$ob2o\$b2obo\$5bo\$2bobo\$3bo!`

EDIT:
Ha, look at highlife's replicator!
`x = 10, y = 10, rule = B34e5y6cn8/S234c5e2b2o\$b3o\$2obo\$3o3\$7b3o\$6bob2o\$6b3o\$6b2o!`

This rule has a whole menagerie of cool oscs:
`x = 3, y = 10, rule = B34e5y6cn8/S234c5e3o\$obo3\$obo\$obo\$bo\$3o\$3o\$3o!`

https://catagolue.appspot.com/census/b3 ... e/D8_1/xp3

Based on its soup, here's the best predecessor I can make for the c/17d:
(Also producing 6 Pds)
`x = 27, y = 27, rule = B34e5y6cn8/S234c5e10bo13bo\$8b2ob2o3b3o3b2ob2o\$10bo13bo3\$13b3o3b3o\$13b3o3b3o\$13b3o3b3o\$bo\$bo\$obo\$bo\$bo\$5b3o\$5b3o\$5b3o\$bo\$bo\$bo\$5b3o\$5b3o\$5b3o\$bo\$bo\$obo\$bo\$bo!`

OCA synth people!!!! (Oh right, I forgot I am part of "OCA synth people")
2G enum people and People who can do synths in very active rules!
As for the 2c/10d:
`x = 12, y = 19, rule = B34e5y6cn8/S234c5e3b2o\$b5o\$b2o2bo4b2o\$2o2bo5b2o\$b3ob3o\$b5o2bo\$6bo2bo\$6bobo\$5bo2bo\$5b3o\$6bo3\$5b2o\$bo2bo\$o4bo4bo\$3o3bo3bo\$7bo2bo\$8b2o!`

it was built rather comically by slapping a G on the back.

I find it difficult to synthesize something in this rule-- things are WAY too active.
`x = 13, y = 16, rule = B34e5y6cn8/S234c5e4bo\$2b2obo\$2b2ob2o2b2o\$bo3bo3b2o\$2ob2o2\$bo2bo\$b2o\$3b2o\$3b2o2b2o\$4bo3b2o\$3b2obobobobo\$2bo5bo3bo\$2b2o3b4obo\$2b2obobo\$6bo!`

EDIT:
2Gs include a bookends synth:
`x = 414, y = 395, rule = B34e5y6cn8/S234c5e154bo36bo18bo\$77bo19bo16bo19bo18bo19bo16bo18bo\$76bo19bo16bo19bo19b3o16bo17b3o16b3o\$76b3o17b3o14b3o17b3o36b3o5\$190bo\$78b3o89bo18b2o\$78bo20bo17bo20bo13b2o15b2o18bobo14b2o\$79bo18b2o16b2o19b2o13bobo14bobo34bobo\$98bobo15bobo18bobo12bo53bo7\$315bo\$269bo22bo21bo62bo\$230bo15bo21bo22bo22b3o18bo22bo17bo\$229bo15bo22b3o20b3o40bo22bo18b3o\$86bo16bo17bo16bo16bo15bo17bo16bo22b3o13b3o86b3o20b3o\$66bo18bo16bo17bo16bo16bo15bo17bo16bo\$65bo19b3o14b3o15b3o14b3o14b3o13b3o15b3o14b3o\$65b3o4\$224b3o15b3o59b2o\$76b3o16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11b2o23b2o20bobo20b2o40b2o\$54b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13b2o23b2o21bo21b2o12b2o26b2o\$56bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo44bo15b2o24bo\$55bo285bo15\$376bo\$375bo\$375b3o\$412bo\$411bo\$411b3o3\$106bo\$74bo30bo196bo33bo\$73bo15bo15b3o172bo20bo33bo73b2o\$73b3o12bo190bo21b3o31b3o33b2o35bobo\$88b3o188b3o88bobo37bo\$372bo4\$305b3o\$108b2o173bo21bo\$108bobo171b2o22bo\$66b2o21b2o17bo173bobo41b2o\$65bobo21bobo235b2o\$67bo21bo236bo17\$84bo15bo39bo153bo\$bobo4bo7bobo4bobo3bo3bo28bo20bo15bo39bo22bo114bo15bo\$61bo21b3o13b3o15bo21b3o19bo114bo16b3o\$bo3bo2bo6bo3bo2bo3bo2bo2bo28b3o52bo44b3o112b3o\$116b3o54bo\$bobo4bo6bo3bo2bo6bobo140bo\$172b3o\$bo3bo2bo6bo3bo2bo3bo2bo2bo2\$bobo4bobobo3bobo4bobo3bo3bo85b3o\$54b3o62bo17b2o156b2o\$56bo21b2o15b2o23bo16bobo33b3o100b2o17bobo\$55bo23b2o15b2o39bo17b2o16bo102bobo16bo\$78bo16bo60b2o16bo101bo\$155bo14\$64bo\$63bo215bo\$63b3o184bo27bo\$2bobo3bo6bo3bobo4bobobo2bobo193bobo17bo28b3o\$37bo211b3o\$o7bo6bo3bo3bo2bo6bo195bo3bo\$37bo\$o2bobo2bo6bo3bo3bo2bobobo2bobo193bobo2\$o4bo2bo6bo3bo3bo2bo6bo2bo192bo3bo2\$2bobo3bobobo2bo3bobo4bobobo2bo3bo20b2o169bobo18bo\$57bobo189b2o13b2o\$59bo189bobo13b2o\$264bo15\$319bo\$274bo43bo\$273bo44b3o\$61bo211b3o\$obo5bobo5bo4bobobo34bo167bobo4bo\$60b3o21bo147bo45bo\$o3bo2bo3bo3bobo5bo59bo144bo6bo41b2o\$83b3o146bo44bobo\$obo4bo3bo2bo3bo4bo204bobo4bo2\$o3bo2bo3bo2bobobo4bo204bo6bo81b2o\$317bobo\$obo5bobo3bo3bo4bo204bo6bo81bo\$85bo\$53b2o29b2o\$54b2o28bobo\$53bo16\$77bo\$76bo18bo\$3bobo3bobo45bo18b3o15bo17bo114bo6bobo3bo5bo18bo\$6bo49bo37b3o14bo152bo\$3bo5bo2bo43b3o52b3o12bo100bo5bo3bo2bobobobo17b3o\$6bo118bo\$3bobo3bo2bo112b3o99bo5bo3bo2bo2bo2bo2\$3bo5bo2bo214bo5bo3bo2bo5bo2\$3bo5bobo47b3o8b2o22bo15bo116bobobo2bobo3bo5bo\$59bo11b2o20b2o14b2o152bo\$60bo9bo22bobo13bobo14b3o133b2o\$126bo135bobo\$127bo16\$67bo\$66bo\$4bo6bobo5bo4bobobo37b3o\$297bo\$4bo5bo3bo3bobo3bo271bo\$296b3o\$4bo5bo3bo2bo3bo2bobobo2\$4bo5bo3bo2bobobo2bo2\$4bobobo2bobo3bo3bo2bo\$58b2o239bo\$57bobo238b2o\$59bo238bobo18\$325bo\$324bo\$324b3o5\$324b3o\$324bo\$325bo21\$55bo16bo\$2bobo5bobo3bo4bo2bobo27bo16bo\$6bo47b3o14b3o\$2bo6bo3bo2bobo2bo2bo3bo\$6bo\$2bobo4bo3bo2bo2bobo2bo3bo2\$2bo6bo3bo2bo4bo2bo3bo2\$2bo7bobo3bo4bo2bobo46bo\$50b2o20b2o\$51b2o19bobo\$50bo19\$2bobo5bo7bobo4bo7bobo4bobo3bo3bo2\$2bo3bo3bo7bo3bo2bo6bo3bo2bo3bo2bo2bo28bo239bo\$77bo239bo\$2bobo5bo2bobo2bobo4bo6bo3bo2bo6bobo28b3o237b3o2\$2bo3bo3bo7bo3bo2bo6bo3bo2bo3bo2bo2bo2\$2bobo5bo7bobo4bobobo3bobo4bobo3bo3bo2\$77b3o\$77bo\$78bo\$308b2o\$307bobo\$270b2o3b2o32bo\$270bobobobo\$272bobo\$271b2ob2o21\$327bo\$326bo\$229bobobo9bobo3bo6bo3bobo4bobobo2bobo7bo5bo2bobobo3bobo3bobo16b3o\$278bo\$233bo7bo7bo6bo3bo3bo2bo6bo9bobobobo2bo6bo5bo\$278bo\$229bobobo2bobo2bo2bobo2bo6bo3bo3bo2bobobo2bobo7bo2bo2bo2bobobo3bobo3bobo2\$229bo11bo4bo2bo6bo3bo3bo2bo6bo2bo6bo5bo2bo10bo5bo\$324bo\$229bobobo9bobo3bobobo2bo3bobo4bobobo2bo3bo5bo5bo2bobobo3bobo3bobo13b2o\$323bobo7\$69bo\$68bo\$46bo21b3o34bo28bo22bo\$3bo5bo3bo3bobo4bobo18bo58bo28bo22bo20bo13bo\$45b3o56b3o26b3o20b3o17bo13bo\$3bobobobo3bo2bo6bo3bo148b3o11b3o2\$3bo2bo2bo3bo3bobo3bo2\$3bo5bo3bo6bo2bo3bo19b3o\$47bo24b2o17b3o59bo\$3bo5bo3bo3bobo4bobo21bo23bobo18bo36bo21b2o\$72bo19bo36b2o21bobo\$129bobo40b2o21b2o\$172bobo20bobo\$172bo22bo10\$48bo\$47bo\$47b3o6\$48bo32bo\$47b2o31bo\$47bobo30b3o\$84b3o\$84bo\$85bo!`

4G hatship:
`x = 72, y = 23, rule = B34e5y6cn8/S234c5e13bo55b3o\$12bo23bo\$12b3o20bo\$35b3o26bo\$65bo\$63b3o5\$13b2o\$13bobo20b2o22b3o\$3bo9bo22bobo23bo\$4b2o30bo24bo\$3b2o6\$2o\$b2o\$o!`

I cannot believe I just synthesized something by smacking a PD into a blinker.
Last edited by Moosey on July 17th, 2019, 4:57 pm, edited 5 times in total.
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

A rule with an interesting 3cell high period oblique ship:
`x = 53, y = 14, rule = B2cek3eiry4nrwz5-cey6aik7e/S02i3cejky4-ajnqw5-ajn6ci7c3bo\$2o\$3bo8\$bo50bo\$3bo\$52bo\$3bo!`

2718281828

Posts: 736
Joined: August 8th, 2017, 5:38 pm

### Re: Rules with interesting dynamics

This sawtooth, which has minimum period 9, has tetrationally spaced minima:
`x = 7, y = 5, rule = B2ace3i/S6bo\$4bobo\$4bobo\$4bobo\$obo!`

The first four minima occur at 4, 12, 44, and 8236. In general, if the nth minimum occurs at 4a_n, then a_{n+1}=2^{a_n} + a_n. Thus, the fifth minimum occurs at 4(2^2059 + 2059) ≈ 2.647*10^620, and the sixth minimum occurs near 10^10^619.2993708444830 (a number with over 1.992*10^619 digits).
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 453
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with interesting dynamics

A rule with an interesting 4 cell p18736, evolving from this 3 cell pattern which is a failed replicator:
`x = 3, y = 2, rule = B2-a3-einq4ejnrtwy5-anr6-ik7e/S1c3eqr4aeiqtwy5aeqry6-ak8bo\$obo!`

There is also this natural ship with 12 cell:
`x = 73, y = 14, rule = B2-a3-einq4ejnrtwy5-anr6-ik7e/S1c3eqr4aeiqtwy5aeqry6-ak85\$68bo\$7bo6b2o\$8bo4bo52bo3bo\$7bo6b2o\$68bo!`

which is 91c/10628 orthogonal. The rule seems to be stable:
`x = 287, y = 195, rule = 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and has this natural small c/2 (should be gunable):
`x = 3, y = 5, rule = B2-a3-einq4ejnrtwy5-anr6-ik7e/S1c3eqr4aeiqtwy5aeqry6-ak83o\$bo\$obo\$obo\$bo!`

But is for some reason that I do not understand it is not apg-searchable.

2718281828

Posts: 736
Joined: August 8th, 2017, 5:38 pm

### Re: Rules with interesting dynamics

2718281828 wrote:...
But is for some reason that I do not understand it is not apg-searchable.

apgsearch doesn't like PATHOLOGICALs and doesn't expect oscillators of such high periods -> basically every soup takes while to analyze before apgsearch decides part of it is PATHOLOGICAL.
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

Posts: 2117
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Rules with interesting dynamics

Square explosions
`x = 100, y = 100, rule = 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Explosion, but less squares
`x = 100, y = 100, rule = B2n3acijr4cjqt5r6i7c/S02aek3ijnqr4cei5-akqy6ae7cbobo3bo4b2o4bo7b3o2bo3b2ob3obob4obob3o4b7o2bo3bo2bobob5o2bob2o6bobo\$3b4o2b3obob5o2bob3ob4o3bob2ob3o3bo4bo6bob2obob2o3b2o2bo6bob2obob2obo2bob2obo\$3o2b3o3bo2bobo3b2o2bo2bo3bob2o2bo2bob2o5b2ob7ob8o5b2o2b4obo2b3obob4obo\$bob4o9b2o3b2o3b3obob3o2b2ob2obo2b3o3bob4ob2obob4obo5bob3ob3o2b3obo3b2o2b2o\$o3bo2bo4bo4b4o4bo4bobob2obo7bobob4o2bo3b3obob3ob2ob4ob2obob2o4bob2obo3bobo\$4obobobo3b3o2bo5b3ob7obobo4bob2o2bobob2obobob3o2bo2bo2bo2bobobob2o2b3obo2bo3b3o\$2ob2obo4b2obobobobobob2o3bo2bo4b3obobobobo2bo2b2obo3b2ob2obo3b5o2bob2obo2b2obob2ob4ob2o\$4b2o5bo5b3o2b2ob3o2b2obo2b2o3b2o2b5o4bobob3o2bobobo9b2o4bo2b5o2b2o2bo\$bob2o5bob2ob2o2bo2b3o2bo2bob2o3bobob2ob2o3bo2b2obob4obo2bobobobob3o2b2ob6ob4ob4o\$3b2o2b2obob2o5bo5b6ob4obo2b2o3bob3ob2o2b2o3bo4bo2b2obob2ob2o3b2obobo3bobo2b2ob2o\$2b2obob3ob2obo4b2ob2o3bobo5bo3bo5b2obo4bo3b2o3bo2bob5obobo2bo2bo4bob2o3bob3obo\$2obo3bobob3ob2o2b2o3bob6ob2o2bobobobo3b4ob3o8b2o2b4obo4b5obo3b5obob3o\$b2ob4obobo3bobo2bo4b3ob5o2b2o4bob2obo3bo2b2ob3o3b4obo4bo2b3obobo3bo2b4ob6o\$2o3bo6b2o3bo2b3o4b3obobobo2bob2ob3ob2o2bo2b2ob3o3bo2bob3o2b2ob3ob3o2bobo2bo3bo3bo\$obo2bobo4b2ob2o2bo2bo2bo4b2obo2b3obo4b3o3bob2ob2o2b2obo2b3obob2o3bobobo2b2ob2o3bo3bo\$2b2obo2bo2b3o5bobobobob2ob6obob2o4b3o2b3o3bob2o5b4o4bob2ob2o3bo4bob4ob3obo\$o2b2o2b3ob4ob6o7bob2o6bo2bob2o2b4obob5o2b2o2b2ob3obobo3b3o3bo3bo2bob2obobo\$b3ob2o3bob3o2b2obo3b3o2b2o2b2o2bobo2bobo3bo2bobobo6bo6b2o4b4ob2o3b2ob3o3b3o\$ob2o3bobobo2b4obo2bobob2o4bobob4obobobobob4obo2b4ob2o4bo2b4o4bo3b2o3bob2o3b4o\$2bo9bo2bobobob4o2bo3bo2bob2o3bo2b6o3bo3bo5bo4b4ob4obobo2bo2b3ob2o2b3obo\$2bob2obo2b3o2bo2bob3o2bob6ob7o2bob2o2b3ob2obob5ob2o3b2o2bobo3b3ob3obo3bobobo2bo\$3ob4ob2o2bob4obo5b2obob4obo2bo3b3ob2obobo2b2obobo2bo2bo2bob2ob9o2b3o3bobob2o2bo\$2bo3bo2bo2b2obobo2bo3bo2bob3obob2obobob2o4bobobo2bo5bob2o4b2o6bob2o3bobobo2bob2ob2o\$2b2ob3ob6obo2b2o2bob2o7bob2ob2ob2o3b2o5bobo2bo3bo3bobob2o5bo2bob5ob2ob2obob3o\$3obobob2o4b7o2bo5bo2bobo3b2obob2o3b2ob3o2bo4b3obob4o2b3obob5o4b4o2b4o\$3o3bo3bob2ob2obo4b3o2b2ob3ob4o4bob3o3bobo2b2o2b2o2bo2b7ob3ob3o4b3obo\$2o2bob2o2bo3bob6o3b2o3b2o2b3o5b4o2bo7bob2o4b2o2bobobobobo6b2o5bo2bo2bobo\$4b2o5b3obob2o2b2ob3obob4ob3ob2o3bo2b2o3bob3o2b5o3bo3b2o8b3ob3obo2b4o3bo\$b4o6bo3bobobob4ob2ob6ob5obo6bob2obo2b3o2bobo2b7o5bob2obobobo2bob2ob4o\$3obob7o2b3o3bobo4bo4bo3b2obo2b2ob8o7bo2bo2b2obo2bo2bobobo2bobob4o2b4o\$4ob4o2bob4obob2ob2ob4o5bo2b4o2bobo2bo2b2o6bobo2b2obob5o2b4o2b2ob2o2b2obobobobo\$o2bo2b2obobo3b3o5bob2o2bobob4o2b4o2b2ob5obob2ob3o2bobo2bob3o5bo2b3ob5o2b3ob2o\$3o2bo2bob2obobobobo2bob3o2bob2obo2bob2obobo6b2o3bo3b3obobo3b2obob2ob4obobo3bo2bo2bobo\$2o3bo3bobob9o3bobo2bo2bob2obobobob3o5b2o3bo2b2ob2ob3o2b3o3b2obobo2b2o2b4ob2obo\$3o2b3o3b4o5bo2b2ob2ob2ob2obob3ob2ob2o3bo6bobo2b5ob2o2bo3b2o6b2o2b2ob4o2b4o\$obo2bo7b5obobo3b3ob5o5bo4b4o6bo3bo2bob3obo2b2o2b5o4b2ob2o6b2ob2o\$o4bob4obo2bo4b2ob2obo2bob2ob2o3bo2bobob4ob2obobob3ob2ob2o2bo3b3o2b2ob4ob2o6bo\$obob2obo3b5o6b2obobob3o2bob2obo2bob2o3bob4ob2obo2bo2bobo4b5o2bobobob2o4bobob2obo\$2ob3ob2ob2ob3obo2b3obo5b4ob3o3bob2obob2ob3ob2o5bob3obobo4b4ob2ob2o4b3ob2ob2obo\$3bo2b3o2bobobo2b2o2b4ob2obo2bobo2bo2b2o2bobobo2b2obob2ob3o3bo2b3ob4o2b2obo2bob3ob2obobo\$3bo2b3ob2ob4obobob5o7b5o2bo2bob5o5bobobo2b3obo2b2o6b3o2b2o5b2o2bob3o\$3ob4o5b3obobob5o5b3o9bo3b2o3b4o3b2ob2o2b4o3b3o3bob2ob4o4b8o\$5b5ob5o3bobob2o10b2o2bo2b2obobo2b2o2bo2bo2b2ob2o3bo4bobo2bobob2obo2bobobobobobo\$2ob2obo6b2ob3ob3o3bob2o3b2ob2o2b6ob2obo2b2o5b3ob5ob6obobobo2bobobo2bo3b2obo\$3b3o2b3obo2bobobob4o3b6o2b4o3bo2b2o2bo3bo3b2obo4bob2obo3b3o4b3o2bob2obobob4o\$o2b4o5bobobob2o2b3o3bo2bo3bobo2bo2bob2o2b2o3bobo3b3ob3obobo3bob2obob5obob3ob3o\$o2b2obob4o2b4ob4ob2obo2b2ob4o5bo3bo3b3ob3obo2bo2b4o2b4o2bo3b4o2b3o2b6o2bo\$obob2o3bo3b6o2bobo3bo4b2o2b3obobobo2bo2b2ob3ob6o2bobobo2b2o3bob3o2bob2obo2b2obobo\$b2obo4bobo2bo3b3obobobob3o4b2o2bob2o3bo3bobo4bob3obobobo2b4o2bobob2obo3bo2bo2b2ob2obo\$2b3o2bo2b3o2b4ob2o2bobo3bo2bobo2bobo2bobobo2b4o4b6o2bo2bo5bob2ob2o2bobo3bobob2o3bo\$ob3o3b3o6b2o3bob2ob2o4bob3obobo4b2o2b2ob2o2bo3bob2o3bo2bo4bo2b3o2b3ob3obo3bo2bo\$2o2bo2b2o2b2obo6bo6b3obo2b2ob3o3b2obo7b3o2bo2b3o2b2o2b2obobobob2obo4bo2b2o2b2obo\$b3o3bo6b4o2b2o2bob2o5bobo2b2obob3ob4ob3ob2o4b3o15bo2b3ob2ob2o2b2ob2o\$bob2o8b6obo2bobob2obo2b3o3b2obo3bobo2b2ob3ob7ob3obo3bobo5b4o2bo3b3ob4o\$obob4o2b5o2b5o3bo3bo4bo6bo3b2o2b4ob6o3bo5bobobo2b2ob3obo4bo2b2obo3bo\$3obo6b2ob2obob3ob7obobob2ob2obo2b4o2bo2bo3b2o3bo4bo4bobobo2bo3b4o4b3obob2o\$obo3b4o4b2ob3obo2b3o5bo5bobo4b4o3b2o2b2obo2b2obobob2o2b2o2bo4bo2b8ob2o2b2o\$bobobo2bob2o4bobobo3bobobob2ob2ob3o4bo5b3obo7b4obo4bo2bo2b3obob3o4b5o\$o3b3obo3bobob9obo2bob7o2bo3bo3bo3bo2bo2b3obobob2o2b15o5bo2bo2bo2bo\$2bob3obobo2b2ob2obob2obo6b7ob2o3b2ob4o2b2ob2ob4o3bo2b2o3bo5b2obobo3bo2bo2b3o\$bo2bobob2o9bob3o4bo2bo2bo2bo2bob3obo2b3ob5ob5o3bobob3obob5o2bo3b3obobob4o\$3o2bo3bob5obo2b4o2bo2b4obo2bo2b2ob7o2bo2b2o3bobo2bo4bo2b4obo3b3ob2ob2o2b3obobo\$4b2ob2o6bo3bo2bob2obobo2bobob3o2bobo2b4o3b2obo4b2obob2obo2bo2b2obobo2bo3b2o3bob2ob3o\$b3obo2b6obobo3bob2ob2o3b5o2b2ob3obobo3b7o2b2o5b7ob2o3bobobobob2obo6bo\$3bo2bob5obobo2b2o2b2ob4obob3o2bo2bobobo2b5ob3o6bobo3b2o3bo2bob3o4bo3bo2bob2o\$bo2bo3bob2o2bo2b3obo5b6ob4o3bob3o2bo3bo2b3o4b3ob3obob2o2bo3bobo2b2o2b4o3b2obo\$o3bo4b4ob2o3bo3bob2o2bobo2b3o6bo2b3o2bobo3bobo3bob2o2b6o2b7obob2o2bo3b2obo\$2ob3o2b4obobo2bo2bobobo3bobo2b4ob2ob3o2b2o2bo2b5obobob6ob3obo3bo2b3o4bob2o5bo\$obob2ob3o2bob2ob2o4b2ob3ob2obo4b2o2b2o3bob2o3bo3b2o2bob2obo8bob2ob3o2bobobo4b4o\$2o7bo2bo2b3obob2ob2o2bo3b2ob2obob2obobo2b2o7b2ob2obob2ob3o2bo2bobo2b4obo2b2obob2o\$bobo3bo3b3o2bo3bo3bobobob2o2b3obob2ob2ob2obo2b2obo2bob3o6b2ob2o4bob3o6b4ob2o\$5ob2obob2obo3b2o2bo2b2o3bobob2o2bob3ob4o3bobo4bo2b2ob2ob5ob2o5b3ob5ob2obobob3o\$2bo2b3o4b3o2bo2bob2obobo4b2o2b2o8bobo4b3ob3ob4ob2o2b2o2bob3o2b7ob3ob2obo\$2ob3obo2b3obob3ob2o2bo8b3o4bob2obobo2bo2bobobobo3b3o4bo5b4o2b3o2b2o2b3ob2obo\$8o3bob4obobobobob3obo2b2o5bobob5o2bobobo2bobo2bo5bo2bobo2b3o2b4o2bobo2bo4b2o\$2ob2o7bob2ob2o4b2o4b7o2bob5ob3ob2obob8ob2obo4bob7o2b2obo2b2o6bo\$5ob2obob2obo2bo2b2o2b2o3bobo2b4o2b4o4b2ob2o5b2obob2o4b7ob3o2b2o3b3obob2ob2obo\$ob6o2b2obob2ob2o5b2ob4o2bob2obo5b3obob3o2b2obobo2bo4bob2o2b6o2b5ob2obobob4o\$bobob9ob3obobo2b5o4b4o2bo5bobob3ob2o5bob2o4bo9b2ob2o3bob2obobobobobo\$o2b3o2bo2b4o4b2ob6o4bo4bob7o2b5obo2bo7b5ob2ob2ob5obobo2bob2o2bobo2bo\$2o4bo2b4o3bob3obobo2b4o3bob2ob3obo5bo8b4obobo2bo2bo2bobo5bob3ob2obobo2bob2o\$bobo2b2o3b2o3b3ob4ob3o3b2o6bo2b5o2bob6ob2o3b4o2b2o3b2o3b2o2b2ob3o3bob3o2bo\$ob3o2bobobo2b10o2bobobo6b2obo4b2o4b4ob4o2b2obo3bob2o4b2o3b6obob2o5b2o\$2o2bo5b2ob2obo3bob3o2b2ob2ob2ob2obob2obo2bo2bo7b4ob3ob2o3bo2bo2bo2b3o4bo2b4o2b2o\$b2o3bo2bobo5b4o2bobob3o6b4o2b2obo2bob3o2bobo2bo3bob3o3bob3o2bo3bob2o2bo2b2o5bo\$4ob2o4b2ob3o2bob3ob2o2bob2o2bo7bobo2bo3bo3bo3bo5bo6bob2o3b2o2b3o2b3obobo\$obob2obo2bo7bo2b2obo3b2o3b6ob2obobobo2b4obo3b2obo2b3o2bobo5bo2bo2b2o2b2o2b2o4b2o\$b2obob3ob2o6b2obo2b4ob2o2bo2b2o2bo2bobobob2o3b3o3b2o2bob2o2bo4b4ob2obob4o5bo\$bo2b3obo3b2o2bob2o2b3o2bobob4obob2obo7bobo4b3ob4obo2bob3ob4o5bo2b2o2bo2b2obob2o\$3o2bob2o4bo2b3o3bo2bobo2b2o2bo4bo3b2o2b2o4bo2bo2bo3b3o3bo3bo3b3ob7ob5ob2o\$6o2bo3bo3bob3obobobob4ob4obo12b3obo4bo2b3obob5ob2ob2o3bo3bo2b2obo\$5bob2obob2obo3bob3o2b5o2b5obobo2bo2bo2b3o2bo3bobo3bo2b2o3bo2bobobo4bo2bob2obob2o2bo\$2obobob2o2bo3b2o2b3o2bo2bo2b4obo4bo3bob2ob2o5bob5ob2o2b3ob2obo2bobo4b2ob3ob2obo2bo\$2o2b2o3b4ob6obobob2ob2ob3o2bob5o2bobo2b3ob2o2bo3bob11o3bobobo2bobo2bo3bo2b2o\$7o2b3o3b2o4b3obo2bo2bobo2b2o2bobo2bo6b2ob4o2b4o4bo2bo3b6obo3b2ob2o6bo\$2obo2b3obobobo2bo2bo4bo4b4obob3obo2bob3obo2b2obo8b2obo4bobo2bobob2obobobo5b3o\$2o2b2o2bobob5o2b2o2bobobob2ob2o3b3ob3ob3obo5bo2bo2bobobo3b3ob2obob3o3bob2o2b4o\$obob4o2b3o4b5o4b2o4b2ob2obo2bobo5bob8obob2ob3o3bo5bob2ob2obob3ob2obobobo\$bobobobobo2b2ob2o2b2o2b3obo4b6ob5o3bob3obo2b3o3bobob4obo2bobobob3obob3obo4b4o\$5b2o3b3o3b2o2b3obob4ob2ob2obo4bo3bo2bobo6b4o3bob2o2bo2b2ob2o5b2o3bobobob2ob2o!`
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 3076
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Rules with interesting dynamics

Saka wrote:Square explosions in B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c8

`x = 3, y = 3, rule = B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c82o\$b2o\$bo!`
etymology of names!

GUYTU6J

Posts: 609
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

### Re: Rules with interesting dynamics

GUYTU6J wrote:
Saka wrote:Square explosions in B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c8

`x = 3, y = 3, rule = B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c82o\$b2o\$bo!`

Yes, I found the rule (both rules actually) while looking for B-ships in the 5S project. I believe this ome comes from this search:
viewtopic.php?f=11&t=2892&start=625#p79823
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 3076
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Rules with interesting dynamics

Saka wrote:Square explosions
`x = 100, y = 100, rule = B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c8bobo3bo4b2o4bo7b3o2bo3b2ob3obob4obob3o4b7o2bo3bo2bobob5o2bob2o6bobo\$3b4o2b3obob5o2bob3ob4o3bob2ob3o3bo4bo6bob2obob2o3b2o2bo6bob2obob2obo2bob2obo\$3o2b3o3bo2bobo3b2o2bo2bo3bob2o2bo2bob2o5b2ob7ob8o5b2o2b4obo2b3obob4obo\$bob4o9b2o3b2o3b3obob3o2b2ob2obo2b3o3bob4ob2obob4obo5bob3ob3o2b3obo3b2o2b2o\$o3bo2bo4bo4b4o4bo4bobob2obo7bobob4o2bo3b3obob3ob2ob4ob2obob2o4bob2obo3bobo\$4obobobo3b3o2bo5b3ob7obobo4bob2o2bobob2obobob3o2bo2bo2bo2bobobob2o2b3obo2bo3b3o\$2ob2obo4b2obobobobobob2o3bo2bo4b3obobobobo2bo2b2obo3b2ob2obo3b5o2bob2obo2b2obob2ob4ob2o\$4b2o5bo5b3o2b2ob3o2b2obo2b2o3b2o2b5o4bobob3o2bobobo9b2o4bo2b5o2b2o2bo\$bob2o5bob2ob2o2bo2b3o2bo2bob2o3bobob2ob2o3bo2b2obob4obo2bobobobob3o2b2ob6ob4ob4o\$3b2o2b2obob2o5bo5b6ob4obo2b2o3bob3ob2o2b2o3bo4bo2b2obob2ob2o3b2obobo3bobo2b2ob2o\$2b2obob3ob2obo4b2ob2o3bobo5bo3bo5b2obo4bo3b2o3bo2bob5obobo2bo2bo4bob2o3bob3obo\$2obo3bobob3ob2o2b2o3bob6ob2o2bobobobo3b4ob3o8b2o2b4obo4b5obo3b5obob3o\$b2ob4obobo3bobo2bo4b3ob5o2b2o4bob2obo3bo2b2ob3o3b4obo4bo2b3obobo3bo2b4ob6o\$2o3bo6b2o3bo2b3o4b3obobobo2bob2ob3ob2o2bo2b2ob3o3bo2bob3o2b2ob3ob3o2bobo2bo3bo3bo\$obo2bobo4b2ob2o2bo2bo2bo4b2obo2b3obo4b3o3bob2ob2o2b2obo2b3obob2o3bobobo2b2ob2o3bo3bo\$2b2obo2bo2b3o5bobobobob2ob6obob2o4b3o2b3o3bob2o5b4o4bob2ob2o3bo4bob4ob3obo\$o2b2o2b3ob4ob6o7bob2o6bo2bob2o2b4obob5o2b2o2b2ob3obobo3b3o3bo3bo2bob2obobo\$b3ob2o3bob3o2b2obo3b3o2b2o2b2o2bobo2bobo3bo2bobobo6bo6b2o4b4ob2o3b2ob3o3b3o\$ob2o3bobobo2b4obo2bobob2o4bobob4obobobobob4obo2b4ob2o4bo2b4o4bo3b2o3bob2o3b4o\$2bo9bo2bobobob4o2bo3bo2bob2o3bo2b6o3bo3bo5bo4b4ob4obobo2bo2b3ob2o2b3obo\$2bob2obo2b3o2bo2bob3o2bob6ob7o2bob2o2b3ob2obob5ob2o3b2o2bobo3b3ob3obo3bobobo2bo\$3ob4ob2o2bob4obo5b2obob4obo2bo3b3ob2obobo2b2obobo2bo2bo2bob2ob9o2b3o3bobob2o2bo\$2bo3bo2bo2b2obobo2bo3bo2bob3obob2obobob2o4bobobo2bo5bob2o4b2o6bob2o3bobobo2bob2ob2o\$2b2ob3ob6obo2b2o2bob2o7bob2ob2ob2o3b2o5bobo2bo3bo3bobob2o5bo2bob5ob2ob2obob3o\$3obobob2o4b7o2bo5bo2bobo3b2obob2o3b2ob3o2bo4b3obob4o2b3obob5o4b4o2b4o\$3o3bo3bob2ob2obo4b3o2b2ob3ob4o4bob3o3bobo2b2o2b2o2bo2b7ob3ob3o4b3obo\$2o2bob2o2bo3bob6o3b2o3b2o2b3o5b4o2bo7bob2o4b2o2bobobobobo6b2o5bo2bo2bobo\$4b2o5b3obob2o2b2ob3obob4ob3ob2o3bo2b2o3bob3o2b5o3bo3b2o8b3ob3obo2b4o3bo\$b4o6bo3bobobob4ob2ob6ob5obo6bob2obo2b3o2bobo2b7o5bob2obobobo2bob2ob4o\$3obob7o2b3o3bobo4bo4bo3b2obo2b2ob8o7bo2bo2b2obo2bo2bobobo2bobob4o2b4o\$4ob4o2bob4obob2ob2ob4o5bo2b4o2bobo2bo2b2o6bobo2b2obob5o2b4o2b2ob2o2b2obobobobo\$o2bo2b2obobo3b3o5bob2o2bobob4o2b4o2b2ob5obob2ob3o2bobo2bob3o5bo2b3ob5o2b3ob2o\$3o2bo2bob2obobobobo2bob3o2bob2obo2bob2obobo6b2o3bo3b3obobo3b2obob2ob4obobo3bo2bo2bobo\$2o3bo3bobob9o3bobo2bo2bob2obobobob3o5b2o3bo2b2ob2ob3o2b3o3b2obobo2b2o2b4ob2obo\$3o2b3o3b4o5bo2b2ob2ob2ob2obob3ob2ob2o3bo6bobo2b5ob2o2bo3b2o6b2o2b2ob4o2b4o\$obo2bo7b5obobo3b3ob5o5bo4b4o6bo3bo2bob3obo2b2o2b5o4b2ob2o6b2ob2o\$o4bob4obo2bo4b2ob2obo2bob2ob2o3bo2bobob4ob2obobob3ob2ob2o2bo3b3o2b2ob4ob2o6bo\$obob2obo3b5o6b2obobob3o2bob2obo2bob2o3bob4ob2obo2bo2bobo4b5o2bobobob2o4bobob2obo\$2ob3ob2ob2ob3obo2b3obo5b4ob3o3bob2obob2ob3ob2o5bob3obobo4b4ob2ob2o4b3ob2ob2obo\$3bo2b3o2bobobo2b2o2b4ob2obo2bobo2bo2b2o2bobobo2b2obob2ob3o3bo2b3ob4o2b2obo2bob3ob2obobo\$3bo2b3ob2ob4obobob5o7b5o2bo2bob5o5bobobo2b3obo2b2o6b3o2b2o5b2o2bob3o\$3ob4o5b3obobob5o5b3o9bo3b2o3b4o3b2ob2o2b4o3b3o3bob2ob4o4b8o\$5b5ob5o3bobob2o10b2o2bo2b2obobo2b2o2bo2bo2b2ob2o3bo4bobo2bobob2obo2bobobobobobo\$2ob2obo6b2ob3ob3o3bob2o3b2ob2o2b6ob2obo2b2o5b3ob5ob6obobobo2bobobo2bo3b2obo\$3b3o2b3obo2bobobob4o3b6o2b4o3bo2b2o2bo3bo3b2obo4bob2obo3b3o4b3o2bob2obobob4o\$o2b4o5bobobob2o2b3o3bo2bo3bobo2bo2bob2o2b2o3bobo3b3ob3obobo3bob2obob5obob3ob3o\$o2b2obob4o2b4ob4ob2obo2b2ob4o5bo3bo3b3ob3obo2bo2b4o2b4o2bo3b4o2b3o2b6o2bo\$obob2o3bo3b6o2bobo3bo4b2o2b3obobobo2bo2b2ob3ob6o2bobobo2b2o3bob3o2bob2obo2b2obobo\$b2obo4bobo2bo3b3obobobob3o4b2o2bob2o3bo3bobo4bob3obobobo2b4o2bobob2obo3bo2bo2b2ob2obo\$2b3o2bo2b3o2b4ob2o2bobo3bo2bobo2bobo2bobobo2b4o4b6o2bo2bo5bob2ob2o2bobo3bobob2o3bo\$ob3o3b3o6b2o3bob2ob2o4bob3obobo4b2o2b2ob2o2bo3bob2o3bo2bo4bo2b3o2b3ob3obo3bo2bo\$2o2bo2b2o2b2obo6bo6b3obo2b2ob3o3b2obo7b3o2bo2b3o2b2o2b2obobobob2obo4bo2b2o2b2obo\$b3o3bo6b4o2b2o2bob2o5bobo2b2obob3ob4ob3ob2o4b3o15bo2b3ob2ob2o2b2ob2o\$bob2o8b6obo2bobob2obo2b3o3b2obo3bobo2b2ob3ob7ob3obo3bobo5b4o2bo3b3ob4o\$obob4o2b5o2b5o3bo3bo4bo6bo3b2o2b4ob6o3bo5bobobo2b2ob3obo4bo2b2obo3bo\$3obo6b2ob2obob3ob7obobob2ob2obo2b4o2bo2bo3b2o3bo4bo4bobobo2bo3b4o4b3obob2o\$obo3b4o4b2ob3obo2b3o5bo5bobo4b4o3b2o2b2obo2b2obobob2o2b2o2bo4bo2b8ob2o2b2o\$bobobo2bob2o4bobobo3bobobob2ob2ob3o4bo5b3obo7b4obo4bo2bo2b3obob3o4b5o\$o3b3obo3bobob9obo2bob7o2bo3bo3bo3bo2bo2b3obobob2o2b15o5bo2bo2bo2bo\$2bob3obobo2b2ob2obob2obo6b7ob2o3b2ob4o2b2ob2ob4o3bo2b2o3bo5b2obobo3bo2bo2b3o\$bo2bobob2o9bob3o4bo2bo2bo2bo2bob3obo2b3ob5ob5o3bobob3obob5o2bo3b3obobob4o\$3o2bo3bob5obo2b4o2bo2b4obo2bo2b2ob7o2bo2b2o3bobo2bo4bo2b4obo3b3ob2ob2o2b3obobo\$4b2ob2o6bo3bo2bob2obobo2bobob3o2bobo2b4o3b2obo4b2obob2obo2bo2b2obobo2bo3b2o3bob2ob3o\$b3obo2b6obobo3bob2ob2o3b5o2b2ob3obobo3b7o2b2o5b7ob2o3bobobobob2obo6bo\$3bo2bob5obobo2b2o2b2ob4obob3o2bo2bobobo2b5ob3o6bobo3b2o3bo2bob3o4bo3bo2bob2o\$bo2bo3bob2o2bo2b3obo5b6ob4o3bob3o2bo3bo2b3o4b3ob3obob2o2bo3bobo2b2o2b4o3b2obo\$o3bo4b4ob2o3bo3bob2o2bobo2b3o6bo2b3o2bobo3bobo3bob2o2b6o2b7obob2o2bo3b2obo\$2ob3o2b4obobo2bo2bobobo3bobo2b4ob2ob3o2b2o2bo2b5obobob6ob3obo3bo2b3o4bob2o5bo\$obob2ob3o2bob2ob2o4b2ob3ob2obo4b2o2b2o3bob2o3bo3b2o2bob2obo8bob2ob3o2bobobo4b4o\$2o7bo2bo2b3obob2ob2o2bo3b2ob2obob2obobo2b2o7b2ob2obob2ob3o2bo2bobo2b4obo2b2obob2o\$bobo3bo3b3o2bo3bo3bobobob2o2b3obob2ob2ob2obo2b2obo2bob3o6b2ob2o4bob3o6b4ob2o\$5ob2obob2obo3b2o2bo2b2o3bobob2o2bob3ob4o3bobo4bo2b2ob2ob5ob2o5b3ob5ob2obobob3o\$2bo2b3o4b3o2bo2bob2obobo4b2o2b2o8bobo4b3ob3ob4ob2o2b2o2bob3o2b7ob3ob2obo\$2ob3obo2b3obob3ob2o2bo8b3o4bob2obobo2bo2bobobobo3b3o4bo5b4o2b3o2b2o2b3ob2obo\$8o3bob4obobobobob3obo2b2o5bobob5o2bobobo2bobo2bo5bo2bobo2b3o2b4o2bobo2bo4b2o\$2ob2o7bob2ob2o4b2o4b7o2bob5ob3ob2obob8ob2obo4bob7o2b2obo2b2o6bo\$5ob2obob2obo2bo2b2o2b2o3bobo2b4o2b4o4b2ob2o5b2obob2o4b7ob3o2b2o3b3obob2ob2obo\$ob6o2b2obob2ob2o5b2ob4o2bob2obo5b3obob3o2b2obobo2bo4bob2o2b6o2b5ob2obobob4o\$bobob9ob3obobo2b5o4b4o2bo5bobob3ob2o5bob2o4bo9b2ob2o3bob2obobobobobo\$o2b3o2bo2b4o4b2ob6o4bo4bob7o2b5obo2bo7b5ob2ob2ob5obobo2bob2o2bobo2bo\$2o4bo2b4o3bob3obobo2b4o3bob2ob3obo5bo8b4obobo2bo2bo2bobo5bob3ob2obobo2bob2o\$bobo2b2o3b2o3b3ob4ob3o3b2o6bo2b5o2bob6ob2o3b4o2b2o3b2o3b2o2b2ob3o3bob3o2bo\$ob3o2bobobo2b10o2bobobo6b2obo4b2o4b4ob4o2b2obo3bob2o4b2o3b6obob2o5b2o\$2o2bo5b2ob2obo3bob3o2b2ob2ob2ob2obob2obo2bo2bo7b4ob3ob2o3bo2bo2bo2b3o4bo2b4o2b2o\$b2o3bo2bobo5b4o2bobob3o6b4o2b2obo2bob3o2bobo2bo3bob3o3bob3o2bo3bob2o2bo2b2o5bo\$4ob2o4b2ob3o2bob3ob2o2bob2o2bo7bobo2bo3bo3bo3bo5bo6bob2o3b2o2b3o2b3obobo\$obob2obo2bo7bo2b2obo3b2o3b6ob2obobobo2b4obo3b2obo2b3o2bobo5bo2bo2b2o2b2o2b2o4b2o\$b2obob3ob2o6b2obo2b4ob2o2bo2b2o2bo2bobobob2o3b3o3b2o2bob2o2bo4b4ob2obob4o5bo\$bo2b3obo3b2o2bob2o2b3o2bobob4obob2obo7bobo4b3ob4obo2bob3ob4o5bo2b2o2bo2b2obob2o\$3o2bob2o4bo2b3o3bo2bobo2b2o2bo4bo3b2o2b2o4bo2bo2bo3b3o3bo3bo3b3ob7ob5ob2o\$6o2bo3bo3bob3obobobob4ob4obo12b3obo4bo2b3obob5ob2ob2o3bo3bo2b2obo\$5bob2obob2obo3bob3o2b5o2b5obobo2bo2bo2b3o2bo3bobo3bo2b2o3bo2bobobo4bo2bob2obob2o2bo\$2obobob2o2bo3b2o2b3o2bo2bo2b4obo4bo3bob2ob2o5bob5ob2o2b3ob2obo2bobo4b2ob3ob2obo2bo\$2o2b2o3b4ob6obobob2ob2ob3o2bob5o2bobo2b3ob2o2bo3bob11o3bobobo2bobo2bo3bo2b2o\$7o2b3o3b2o4b3obo2bo2bobo2b2o2bobo2bo6b2ob4o2b4o4bo2bo3b6obo3b2ob2o6bo\$2obo2b3obobobo2bo2bo4bo4b4obob3obo2bob3obo2b2obo8b2obo4bobo2bobob2obobobo5b3o\$2o2b2o2bobob5o2b2o2bobobob2ob2o3b3ob3ob3obo5bo2bo2bobobo3b3ob2obob3o3bob2o2b4o\$obob4o2b3o4b5o4b2o4b2ob2obo2bobo5bob8obob2ob3o3bo5bob2ob2obob3ob2obobobo\$bobobobobo2b2ob2o2b2o2b3obo4b6ob5o3bob3obo2b3o3bobob4obo2bobobob3obob3obo4b4o\$5b2o3b3o3b2o2b3obob4ob2ob2obo4bo3bo2bobo6b4o3bob2o2bo2b2ob2o5b2o3bobobob2ob2o!`

p2,p4,p6,p7,p26,p52,p156,p182,c/4d:
`x = 357, y = 126, rule = B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c86b4o18bo16b2o18bo6bo84b2ob2o63b2o\$6b4o17bo18b2o17b2o4b2o82b2obo3bo48b3o10bobo62b3o\$26b2o35b2obo4bob2o80bo2bo52bo12bo64bo2bo\$30bo18bo14b2o6b2o23b2obo54bo55bo12b3o62bo2bo61b2o\$23bo6b2o17b2o46bo2bo4bo50bo2b2o51b2ob3o135bob2o\$24b2o6bo17bo47b3o4b2o51bo56bo76b2o58b3o\$6b2o17bo79b3o184bo\$6bo21b2o262bo60bo\$7bobo18bo35b2o6b2o149b2o2bo\$8b2o17bo35b2obo4bob2o149b3o\$65b2o4b2o152bo\$65bo6bo33b3o\$106bo\$106bobo187bo\$107b2o180b3o4b2o\$6bobo279bo2bo5b2o\$6bo2b2o277b2obo5bo\$5bo290bo\$10bo290bo\$5b2o2bo290b3o\$7bobo289bo2b2o\$135b3o\$135bo2bo58bo48b3o\$134bo54b2obo5bo46bo2bo62bo\$134b3o2bo49bo2bo5b2o45bo2bo60b3ob2o\$138bo51b3o4b2o101b3o12bo\$134bo3bo58bo46b2o56bo12bo\$6b4o124bo110bo54bobo10b3o\$135bo109bo54b2o\$4bo6bo2\$2bo10bo\$193bo\$o14bo177bo\$o14bo177b2o46bo\$o14bo224b2o4b3o\$o14bo174bo2bo45b2o5bo2bo\$190bo2bo46bo5bob2o\$2bo10bo176b3o48bo2\$4bo6bo2\$6b4o3\$147bo5\$213bo\$212b3o\$211bo2b2o3\$223bo\$221b3ob2o\$212b3o12bo\$214bo12bo\$212bobo10b3o\$212b2o\$140bo13bo\$139b3o11b3o\$138bo2b2o9b2o2bo5\$139b3o11b3o\$141bo11bo\$139bobo11bobo\$139b2o13b2o30\$143b2o6b2o\$142b2ob2o2b2ob2o\$143bo2bo2bo2bo\$143bo2bo2bo2bo\$144b2o4b2o2\$137bo20bo\$140b2o12b2o\$138bo2bo12bo2bo\$138b3o14b3o13\$139b3o12b3o\$138bo2bo12bo2bo\$138b2obo12bob2o!`

p52 c/4d gun:
`x = 62, y = 103, rule = B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c89b2o2bo8b4obo\$8bobo2bo7b2obo2bo\$7b2o6bo4b2o\$8b3o3bo2bo3b3o\$9b5o2b2o7bo\$10b3o2bobo7bo\$12bo4bo\$2bo11bo2bo\$b3o12b2o\$o2b2o12bo\$2ob3o9bobo\$4b2o7b2ob2o\$4b3o6b2o\$2o2bo6b2o\$3bo3bo3b2o12bo\$2bo2bo4bo\$4bo3bo2bo\$3b9o3\$2bo\$b3o\$2obo\$o2bo\$2o\$o3b2o8bo2\$2o\$21bo\$21bo\$21bo\$21bo3\$20b2o\$19bo2bo24b2o\$19bo2b2o22bobo\$18bo2b2o23bobo\$18b4o23bo\$46b2o6\$17b3o\$17bo2b2o4b2o2bo\$18b3o4b2o2bobo\$19bo5b2o2bobo\$30b2o4\$30b2o\$30bobo2b2o5bo\$30bobo2b2o4b3o\$31bo2b2o4b2o2bo\$42b3o6\$14b2o\$16bo23b4o\$13bobo23b2o2bo\$13bobo22b2o2bo\$13b2o24bo2bo\$40b2o3\$40bo\$40bo\$40bo\$40bo\$60b2o2\$47bo8b2o3bo\$60b2o\$58bo2bo\$58bob2o\$58b3o\$59bo3\$50b9o\$50bo2bo3bo\$51bo4bo2bo\$36bo12b2o3bo3bo\$49b2o6bo2b2o\$47b2o6b3o\$44b2ob2o7b2o\$44bobo9b3ob2o\$44bo12b2o2bo\$44b2o12b3o\$44bo2bo11bo\$44bo4bo\$36bo7bobo2b3o\$36bo7b2o2b5o\$38b3o3bo2bo3b3o\$40b2o4bo6b2o\$34bo2bob2o7bo2bobo\$34bob4o8bo2b2o!`

EDIT:Smaller:
`x = 46, y = 79, rule = B2n3-knqy4iqt5y6i78/S2aek3-acey4ci5ceij6ckn7c814bo\$10b2o2bo8b4obo\$9bobo2bo7b2obo2bo\$8b2o6bo4b2o\$9b3o3bo2bo3b3o\$10b5o2b2o7bo\$11b3o2bobo7bo\$13bo4bo\$3bo11bo2bo\$2b3o12b2o\$bo2b2o12bo\$b2ob3o9bobo\$5b2o7b2ob2o\$5b3o6b2o\$3o2bo6b2o\$4bo3bo2bo4bo\$3bo2bo4bo4bo\$5bo3bo2bo3bo\$4b5obo5bo\$11b3obo\$11b2o\$3bo\$2b3o\$b2obo\$bo2bo23bobo\$b2o26b2o\$bo3b2o2\$b2o\$29b2o\$27bo2bo\$27bobo\$27b3o3\$21b2o\$20bo2bo\$20bo2b2o\$19bo2b2o\$19b4o9\$30b2o3b2o\$8bo21b3o2bobo\$6b5o18bob2o4bo\$9b2o25b2o\$11bo16bo\$7b2ob2o\$7bo2b2o\$8b3o32bo\$9bo32b3o\$20bo20b2o2bo\$43b3o\$29bo\$11b2o3b2o3bo7bo\$11bobo3bo2bo\$11bob2o2bo3b2ob3o\$11b3o4b2o3b3obo\$7b2obobo7bo\$7bob3o9bo6bo\$7bo3bo9b2o3b3o\$7b2o2bo11bo3b2o\$8b3o13bo\$9bo\$22bo\$21b3o\$20b2o2bo\$17b3ob4o5b3o\$16bo2b2o8b3ob2o\$15b2o2bo8b2o3b2o\$16b2o2bo8bobo2b2o\$17b4o9b2o2bo\$34bo!`
`x = 5, y = 5, rule = B3-y/S234w2b3o\$bo\$o3bo\$o2bo\$obo!`

FWKnightship

Posts: 37
Joined: June 23rd, 2019, 3:10 am
Location: Behind you

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