## Rules with small adjustable spaceships

For discussion of other cellular automata.

### Re: Rules with small adjustable spaceships

`<snip (2,1) slope ship>`

`<snip (3,1) slope ship>`

Very nice! And so simple - I was evidently looking at this problem in a convoluted way.
The fastest I can make the (2,1) slope ship go is (4,2)c/52:
(2,1)c/(4n+2), p(8n+4), n>5:
`x = 14, y = 20, rule = B2ce3cen4eknt5kn6-ce7c8/S01c2-ck4ciknr5aknq6k7e82bo\$9bo3bo\$bo8bo\$obo6bo4\$10bobo\$11bo8\$3bo\$8bo3bo\$9bo\$8bo!`

AforAmpere wrote:Are non-integer slopes possible in this rule? I can't seem to get them to work, but they might exist. All integer slopes are definitely possible:
`<snip more oblique ships>`

Indeed, all rational slopes are possible. It would be nice to know what the minimum period for any particular slope is, and to write a script to generate the ship of any given slope. It may be worthwhile finding the slide-reflect reaction with the lowest possible repeat time first.

As for non-integer slopes you would need a totally different kind of construction. I can't remember where the discussion about this topic was (fairly recently too) but any pattern which meets the traditional definition of a ship in a regular Moore neighbourhood CA has a rational speed, almost by definition of what is a ship. I liked the idea for creating a pattern which moved with non-rational speed, but it can't be periodic and therefore must grow in size over time. I suppose it might be possible to use these dot movers to do the kind of computation which was discussed, and the construction may not need to be a UC, but it's certainly going to be a lot more complicated than a small rectangle.
wildmyron

Posts: 937
Joined: August 9th, 2013, 12:45 am

### Re: Rules with small adjustable spaceships

This is the fastest group of ships I could find in all known rules with slide mechanics:
`x = 87, y = 38, rule = B2aei3-aijq4einrtyz5-ace6cei7e8/S01e2in3-ein4cejrz5eky783bo8bo21bo6bo37bo4bo\$ob2o9bo28bo35bo\$bobo9bobo26bo5bo25bo3bo\$12bo28bo37bo3\$84b2o\$45bo2bo34bo2bo\$46b2o\$34b2o\$33bo2bo34bo2bo\$12bo2bo56b2o\$13b2o57bo4bo\$78bo\$78bo7bo\$77bo8\$36bo7bo\$45bo\$45b2o\$44bo8\$3b3o7bo\$4bo\$5bo\$4bo!`

The fastest direction of the ships seems to limit at 2c/11, which is much faster than the limit in the other rules.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

AforAmpere wrote:This is the fastest group of ships I could find in all known rules with slide mechanics:
`<snip rle>`

The fastest direction of the ships seems to limit at 2c/11, which is much faster than the limit in the other rules.

Adding B3q allows some of these to go a bit quicker:
c/6 diagonal (p24), and (3,1)c/16 (p64)
`x = 33, y = 35, rule = B2aei3-aij4einrtyz5-ace6cei7e8/S01e2in3-ein4cejrz5eky784bo5bo13bo5bo\$3bo19bo\$bobo17bobo\$4bo19bo\$10b2o18b2o\$9bo2bo16bo2bo4\$18bo2bo\$19b2o\$19bo6bo\$b2o24bo\$o2bo23bo4bo\$26bo17\$3bo6bo\$11bo\$11b2o\$10bo!`

The (2,1) slope ship can already go faster at (2,1)c/11 (p44) without B3q.

Personally, I prefer the ships made from bouncers with a smaller displacement - this won't result in the fastest ships but it does give the most flexibility in allowable displacements for the knightships, and I think will allow the lowest possible period for any given slope. I think these particular ships are also limited by the sparkiness of the reaction - it might be possible to tailor the search to reduce the extent of the spark somewhat.

Edit: Here's a bouncer which allows for lower period ships:
(n,1)c/(9n+1), p(18n+2), n>0
`x = 73, y = 40, rule = B2ae3acnqy4aint5aj6c7e8/S01e2ce3cjnqr4acejknr5-jkqr6ik7e4bo19bo19bo20bo\$3bo5bo13bo5bo13bo5bo14bo5bo\$bobo17bobo17bobo18bobo\$4bo4b2o13bo4b2o13bo4b2o14bo4b2o\$8bo2bo16bo2bo16bo2bo17bo2bo3\$60bo2bo\$61b2o\$68bo\$61bo7bo\$69bobo\$68bo\$b2o18b2o18b2o\$o2bo16bo2bo16bo2bo4\$44bo\$43bo6bo\$42bo\$44bo6\$29bo\$22bo5bobo2\$28bo6\$2b3o\$10bo\$3bo\$4bo!`
wildmyron

Posts: 937
Joined: August 9th, 2013, 12:45 am

### Re: Rules with small adjustable spaceships

wildmyron wrote:Adding B3q allows some of these to go a bit quicker:
c/6 diagonal (p24), and (3,1)c/16 (p64)

Nice, that's got to be close to the limit.
wildmyron wrote:Personally, I prefer the ships made from bouncers with a smaller displacement - this won't result in the fastest ships but it does give the most flexibility in allowable displacements for the knightships, and I think will allow the lowest possible period for any given slope.

Why are lower periods important, is it aesthetic or is there some use for it? Though I guess the same thing could be asked about speed.

Here's a reliable method to make (4n,4)c/(20n+4) ships for all n > 1:
`x = 173, y = 100, rule = B2aei3-aij4einrtyz5-ace6cei7e8/S01e2in3-ein4cejrz5eky7810\$6bo5bo16bo5bo17bo5bo18bo5bo20bo5bo21bo5bo19bo5bo\$5bo22bo23bo24bo26bo27bo25bo\$3bobo20bobo21bobo22bobo24bobo25bobo23bobo\$6bo22bo23bo24bo26bo27bo25bo\$12b2o21b2o22b2o23b2o25b2o26b2o24b2o\$11bo2bo19bo2bo20bo2bo21bo2bo23bo2bo24bo2bo22bo2bo7\$3b2o21b2o22b2o23b2o25b2o26b2o24b2o\$2bo2bo19bo2bo20bo2bo21bo2bo23bo2bo24bo2bo22bo2bo8\$166bo\$163b3obo\$158bo4bob2o\$164b3o\$165b3o\$166bo5\$132bo4bo\$138bo\$138bo2bo\$137bo7\$106bo6bo\$105bo\$104b2o\$106bo7\$77bo6b3o\$85bo\$84bo\$85bo6\$52b3o\$53b2o6bo\$53bo\$54bo\$53bo5\$34bo2bo\$33bo\$28bo4bo\$34bo7\$5bo4bo\$11bo\$11bo2bo\$10bo!`

Take the base ship as the knightship on the far right, and to increase the slope by 1, simply evolve the bottom part 12 steps and move it down 12 cells, and you should get the next oblique ship in the sequence. It works for all integer slopes (seemingly). This is probably doable with a script.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

The method works with diagonal (2,2) pushes as well:
`x = 22, y = 30, rule = B3-eqr4-inqrt5ceijy6cek7c8/S02-i3-aeiy4ciqrwz5-aejy6ein7c6\$4bo3\$7bo\$5bobo\$6b2o4\$10b2o\$9b3o\$8bo2bo\$8b3o6\$4bo!`

`x = 29, y = 29, rule = B3aijkn4ajwy5cj6k7c/S02-in3-aeiy4iqr5ciknr6e7c15bo6\$21bo\$22bo\$20b3o\$4bo\$2b2o\$3b2o2\$o2\$28bo\$24bo\$23bo\$23b3o5\$10bo\$11bo\$9b3o3\$13bo!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

(4,1)c/19 in one of the rules (-S2i so it's not explosive):
`x = 7, y = 6, rule = B2ce3cen4eknt5kn6-ce7c8/S01c2aen4ciknr5aknq6k7e82o\$2o2\$o5bo2\$4bobo!`

EDIT: p54:
`x = 11, y = 7, rule = B2ce3cen4eknt5kn6-ce7c8/S01c2aen4ciknr5aknq6k7e8o2bo\$4bo\$3bo2\$4bo2\$10bo!`
Please stop using my full name. Refer to me as dani.

she/they

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

danny

Posts: 875
Joined: October 27th, 2017, 3:43 pm
Location: i love to eat bees

### Re: Rules with small adjustable spaceships

Danny,

Your puffer and oscillator seem to be misplaced, they are not related to small adjustable spaceships.

Brian Prentice
bprentice

Posts: 532
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

### Re: Rules with small adjustable spaceships

bprentice wrote:Danny,

Your puffer and oscillator seem to be misplaced, they are not related to small adjustable spaceships.

Brian Prentice

Well, I guess it is, but the rule has adjustable spaceships and was posted earlier. I didn't want to point this out again in a different thread, so I chose here.
Please stop using my full name. Refer to me as dani.

she/they

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

danny

Posts: 875
Joined: October 27th, 2017, 3:43 pm
Location: i love to eat bees

### Re: Rules with small adjustable spaceships

`x = 25, y = 44, rule = B2ce3cen4eknt5kn6-ce7c8/S01c2-ck4ciknr5aknq6k7e82bo\$9bo13bo\$10bo\$bo7bo\$obo19bo\$21bobo35\$3bo\$10bo13bo\$11bo\$10bo!`

`x = 37, y = 72, rule = B2ce3cen4eknt5kn6-ce7c8/S01c2-ck4ciknr5aknq6k7e810\$5bo\$12bo12bo\$13bo\$12bo\$24bo\$23bobo12\$4bo\$3bobo38\$6bo\$13bo12bo\$14bo\$13bo!`

Wow! This is seriously impressive -- has anyone looked at the isotropic rulemin and rulemax to see whether there's a non-explosive rule supporting this family of ships?
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 1901
Joined: June 1st, 2009, 4:32 pm

### Re: Rules with small adjustable spaceships

calcyman wrote:Has anyone looked at the isotropic rulemin and rulemax to see whether there's a non-explosive rule supporting this family of ships?

Unfortunately, there doesn't seem to be a non-explosive rule in there. However, literally any rule with the same push reaction has this property, so if someone can find a rule with the push reaction that is non-explosive, we have adjustable-slope ships in a non-explosive rule.

EDIT, here's one:
`x = 135, y = 28, rule = B3-cry4j5ci6c/S02ae3aijnr4r5ijny6aeo46bo\$122bo\$2bo46bo\$3bo16bo29bo\$b3o17bo26b3o\$19b3o\$51bo\$5bo16bo105bo\$129bo\$127b3o\$110bo\$109b2o\$108bob2o\$109b2o2\$131bo2bo\$130bo\$130b3o5\$117bo\$118bo\$116b3o3\$120bo!`

This rule has the same reaction, but diagonal, and is non-explosive.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

`x = 99, y = 5, rule = B2ce3-knq4eqrwy5-ckq78/S012ck3cjnqy4cintz5acekq6in7c39bo17bo40bo\$o28bo36bo5bo\$9bo5bo\$29b2o34b2o5b2o\$8b2o5b2o!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

What does this one cover, exactly?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3217
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with small adjustable spaceships

What do you mean by cover? Smaller adjustable-slope ships in area are available and more generalized speeds:
`x = 45, y = 49, rule = B2ce3-knq4eqrwy5-ckq78/S012ck3cjnqy4cintz5acekq6in7c2\$3bo14bo9bo14bo2\$18b2o7b2o13\$40bo\$40bobo15\$o\$obo9\$2bo17bo3bo17bo\$22bo2\$20bobobo\$22bo!`

This rule has a 2c/164, 4c/164 and 6c/164, which isn't something possible in previous rules as far as I am aware.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

AforAmpere wrote:What do you mean by cover?

Are there any values of nc/x for where n isn't achievable at all?

Also, is this the minimum possible rule for these spaceships? Sadly it seems explosive.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3217
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with small adjustable spaceships

muzik wrote:Are there any values of nc/x for where n isn't achievable at all?

All even displacements should be possible. The minimal rule is this:
`B2ce3-knq4erwy5-ckq7c8/S012ck3jny4cintz5akq6in7c`

Unfortunately it is still explosive. If you search with LLS for rules with the same bouncing reactions, you may be able to find a non-explosive rule.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

Here's one for orthogonal:
`x = 23, y = 63, rule = B2ce3cen4ekt6kn/S01c2aen4cknr5aknq84bo\$11bo10bo\$12bo\$11bo3\$19bobo\$20bo8\$bobo\$2bo2\$3bo\$16bo4bo\$17bo\$16bo5\$21bo\$3bo13bo\$16bo\$17bo18\$18bobo\$19bo8\$obo\$bo2\$2bo\$15bo4bo\$16bo\$15bo!`

`x = 64, y = 64, rule = B2ce3cen4ekt6kn/S01c2aen4cknr5aknq8b2obobob2obo2b5o2bo5b5ob3o3bo2b2obo2bob2obob2o3b3o\$3bobo2b3ob4o3bob2obobo2b8obo5b5o2bobo3b4ob2o\$2bob2o2bo4bobo3b2ob2o7bo2b2ob3ob3o2b4o2b3o2b2o3b2o\$3bo3bobo4b2o2b2ob2o2b2o2bo2bo8b2obo2bo2b2o4b4ob2o\$b2ob3obob3ob2ob2ob5ob2ob3o4bo2b2ob3o2b2obob3ob2o2b4o\$o2b3o2bo2bo2bo2b4ob2o2bobob2obobo3bobob2obob2o2b5obob3o\$bo2bo4b3o3bobo4b3o3b2o3bo4b5ob2o2bo2bob2obo3bo2bo\$4obo5b5o2b3o2bo2bo2bo2b2o3bobo4b2o2b4o2b3ob3o\$2ob7o4b2o2bo2bobo3b2ob5obob2o5b2ob5obo2bo3b3o\$2o3bob6obo2bo2b7obob2ob2obobob4obo6bo2bobob3obo\$o2b4ob3ob2ob2ob2ob2o4b4obob2o2bob2o2bob3o10bo2bo\$b4obobo2b4obob2obobobo2bobo2b3obo2bo6b4obo5b2o\$2bo7bo3bo2bo3b3o2b3o4bobobob2o7b2o2bo2b3o2b3o\$2obobo2bo3bo3b3obob3o2bo4bobo3b2o4b2o4bo2b3o3b2obo\$5obo2b2o2bobobo5bo2bobo2bo3b4o3bo3bobobob2ob2obob2o\$b6o4bob3obo2bob2ob2obobo3b2obo4b2o7bob2o2b2o\$2obo4b3obo2bob4obo3bo3bob2o2bo2bo4b3obob7ob2o2bo\$2bo4bobob3o3b5obob2o3bo3bobo2bo3bobo3b4o2bo6b2o\$obo2b2o3b3obob4o3bo2b4o3b2o2b2o4bo6b2ob2o2bob3o\$3o2b2obo4b2ob2o2b2obo3b2obob2o2bob2obob2o5b2ob3o2bo2bobo\$6b4obo3bo2b2obob2o4b2obob3o2b2o3bob2o4b2o2b2o3bobo\$bob2obo3bobo2bo5b2obo7bo2bo2b5obo3b3obobo3b3o\$2ob4o2bo3bo3bobobo3bob4ob2ob3o3bo3b2obob3o7bob2o\$5bo2bo4bo5b2o2bobo2bo2b3obob4o2bob2o3b3o2b4o3b2o\$5bo3bobob2ob3obo2b6ob2ob2o4b2o5bo2bo2bo7bo\$obo3bo2b2o2b4obo3bobo4b2o2b2o2bob2obob3ob6ob2o2b4o\$5b4ob2o2bob3ob2o2bo2bob2obo6bobob2obobo4b5o2b4o\$2b2ob2o2bob2ob2obob4obo2b4obo2bobob4o3bobo3bo2bob2obo2bo\$3ob3o3bo3bobo6b2ob3obob4obobob4o2bo2b4ob2obo2bo\$2b3ob2o4b2o3b2obob2o6b3obo2bo2b2ob2obo2b2o2b7obobo\$2bo2bob2obob2obob2o3b2obo4b3ob2o2bo2b2o2b3o2b2o3bo2b2obobo\$2b4o2b2obobo3bob6o5b2ob3obo4bo4b2obobo4b2o2bobo\$o4b3obobob6o3b2o2bo2b2o5bob2o4bo4bob7ob4o\$b2o2bob7ob2obob2ob3o2b2obobo3b4obo2b2o2b2obob2ob7o\$o5bo2bob2o3b3o2bo3b5ob2ob2ob2o3bo4bo2b3o2bo3bob2o\$bo2bobo6bob3ob5ob3obo2b3o2b2o2b2o3bo2b2o2bo2bo2b2o\$obobo3bobobob5o2bob3ob4obobob2o2bo2b4obo2b9ob2o\$3bo4b3ob5ob2o3b3ob8obob3obob2ob2o2b2ob3ob5o\$bo2b2obo2bo3bo2b2o3bo2b3ob4ob7o3bobo4b2obo2bob3obo\$4o7bobob2o2b2o3bob2o2bo2b3ob2o5bobob3o4b2o3bo2bo\$5o4b2ob4o10bobob2ob2o3b2obo2b7ob2ob5ob2o\$2bo3bobob2o3bobo2bob3o4bo3b3o4b2obo4bo5b2o6bo\$3b4o2bo3b3obobo6bobo4bobo2bobob7obo2bob3obo2b2o\$2b3ob5ob3o2b2o2bob3o2b3o2bo2bo4b6o6b6o3bo\$5bob6obobobo3bo2bobo2b3obo3bob2ob2ob2obo2b4obob4o\$2ob2obobo3b2obob2o7b2ob3ob2obo2bo2b2o2b3o4b2o5bobo\$obo3b2ob4o2bob2o2b2ob3obobob4o4b5o8b3obob5o\$2bo3bo3b2ob3o2bo4bob3obo2bobobob2o2b2o2b5obobobob2o2b2o\$o3bo4bob2ob2obo2b3o3b3obo2b4ob3o3b3obobo2b2obob3o\$o2bob2ob2o2b2o4b2ob2o3bob2ob2o2bo2bo2bo5b2obobob2obo4b2o\$6o2bo2bobobo3bo2b3o2bob4ob2obo3b7obo2bob2obob2o2bo\$bobobob2o3bobobo2bob4obob2ob3o5b2o2b2o3b3ob2ob5o\$2bobo3b7o2bobob3o2b3ob2o2b2ob2o4bob5o3bob3o3bobo\$bobobobo2b3o3b3o5bo3b2obo2b7ob3ob4o3b6ob2obo\$o2b2o3bobo2b4o7b3o5b3obo2bo2b4o2bo4b3ob7o\$o5bobobob2obo2bob2ob2obo2b2o8b2ob2o3bobo5b2o3b4o\$bob2ob3obob2ob3obo2b3ob2o2b5obobo5bob4obo3bo3bobobo\$o3b4obobob2o3b3o4bob2o2bob3obob2obob4o2bob2obo2b2ob3o\$o4b2obob2obo6bo2bo2b2ob2ob4o6bob2o4bobo3b4o2bo\$3b3o2b3o3bo3bo8b2ob2o3bob2ob4ob4ob4o2bo2bo3bo\$bobobo5b6ob3o2b2o3bob2o7b3obo2b4o3bo4bobo\$2o3bo3b2ob7o3b3o2b2obobo3bobob3obob2obob2o5b3obo\$obob2o3b2obo4b2o2bob4o2bo4bob2o3b4ob2obo2bo3bo2b2ob2o\$bo4b3o2b2obobob2obo4bo2bo2b3obo2bob2ob3o4b2obo2b4obo!`

Note that this is similar to a rule previously posted in this thread.
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 255
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with small adjustable spaceships

LaundryPizza03 wrote:Here's one for orthogonal:

This rule does not have the other bouncing reaction (where the ships bump each other up) if you were responding to the above by muzik. Regardless, that is the first orthogonal non-explosive rule that has the first bouncing reaction that I have seen, nice job.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

This is a adjustable rule that allows for various speeds, as the 'reflector' can act colour preserving and changing:
`x = 59, y = 134, rule = B2-ak3a4-cqrwz5iny6ck7e8/S01c2an3aeij4eiqz5jr6ak14\$31bo4\$28b2o\$28bobo3\$30bo6\$31bo4\$29b2o\$29bobo3\$31bo5\$31bo4\$29b2o\$29bobo3\$30bo4\$31bo5\$28b2o\$28bobo3\$30bo5\$31bo5\$29b2o\$29bobo3\$31bo4\$31bo5\$29b2o\$29bobo3\$30bo10\$39bo\$40bo2bo\$32bo5b2o11\$43bo\$42bobo\$32bo11bo\$30bobo\$31bo3\$41bo\$42bobo\$31bo8b2o!`

All periods except mod4=3 are possible (p14,16,17,18,20,21,22,...)
Just check:
https://catagolue.appspot.com/census/b2 ... z5jr6ak/C1

Edit1:
A similar rule (also apg-searchable https://catagolue.appspot.com/census/b2 ... w5cjn6k/C1 with e.g. an xq834 (in C1!) ):
`x = 13, y = 6, rule = B2c3aejnr4ciknty5in/S12kn3cejkr4jnrtw5cjn6kbo9bo\$obo7bobo3\$bo8bo\$2bo8bo!`

2718281828

Posts: 509
Joined: August 8th, 2017, 5:38 pm

### Re: Rules with small adjustable spaceships

In B1e all slopes are possible as well:
`x = 95, y = 126, rule = B1e2cei3jn4akqyz5cjn6ack7/S12a3-ijky4n5j6c7c867b2o\$67bobo13b2o\$50b2o15b2o14b2o\$50b2o2\$83bo\$50bo31bobo\$49bobo30b3o\$49b3o8\$78b2o\$78bobo3b2o\$51b2o25b2o4b2o\$51b2o23\$50b2o\$2b3o3b2o3b2o35b2o\$2bobo3b2o3b2o4b3o\$3bo15bobo\$20bo27b3o\$48bobo\$49bo\$20b2o\$20b2o27b2o\$49b2o8\$49b2o\$49b2o4\$47b3o\$47bobo\$48bo2\$48b2o\$48b2o6\$49b2o\$49b2o5\$47b3o\$47bobo\$48bo2\$48b2o\$48b2o6\$49b2o\$49b2o6\$47b3o\$47bobo\$48bo2\$48b2o\$48b2o8\$49b2o\$49b2o7\$47b3o\$47bobo\$48bo2\$48b2o\$48b2o!`

2718281828

Posts: 509
Joined: August 8th, 2017, 5:38 pm

### Re: Rules with small adjustable spaceships

`x = 42, y = 66, rule = B2ce3a5y7e8/S01c2-e3-i45-r6-c7c83o5b3o5b3o4b3o5b3o5b3o\$obo5b3o5b3o4b3o5bobo5bobo\$3o5b3o5bobo4bobo5bobo5b3o\$3o5bobo5b3o4b3o5b3o5bobo\$3o5b3o5b3o4b3o5b3o5b3o\$3o5b3o5b3o4bobo5b3o5b3o\$obo5b3o5bobo4b3o5bobo5b3o\$3o5b3o5b3o4b3o5b3o5b3o\$3o5bo7bobo4b3o5b3o5b3o\$3o13b3o4bobo5bobo5b3o\$3o13bobo5bo6b3o5b3o\$o15bobo3b5o4b3o5b3o\$16b3o3bo3bo4b3o5b3o\$16b3o12b3o5b3o\$16b3o12b3o5b3o\$16b3o12b3o7bo\$16bobo12bobo\$16b3o12b3o\$16bobo12b3o\$16b3o12bobo\$16bobo12b3o\$16b3o12b3o\$16b3o12b3o\$16bobo12b3o\$16b3o12bobo\$16bobo12b3o\$16b3o12b3o\$16bobo12b3o\$16b3o12b3o\$16bobo12b3o\$16b3o12bobo\$16bo14bobo\$31b3o\$31b3o\$31b3o\$31bobo\$31b3o\$31b3o\$31b3o\$31b3o\$31bobo\$31b3o\$31b3o\$31b3o\$31bobo\$31bobo\$31b3o\$31bobo\$31b3o\$31b3o\$31b3o\$31b3o\$31bobo\$31b3o\$31bobo\$31b3o\$31b3o\$31b3o\$31bobo\$31b3o\$31b3o\$31b3o\$31bobo\$31b3o\$31b3o\$31bo!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

A class that is similar to what we know anyway, but with some delaying options:
`x = 45, y = 59, rule = B2-ae3ajqr4ijntz5-ajy6k7c/S01e2cek3jn4aekn5aknqy6e7c2\$6bo10bo10bo10bo\$6bo10bo10bo10bo5\$6bo10bo10bo10bo\$4bobo8bobo8bobo8bobo3\$5b2o3\$5b2o9b2o3\$5b2o9b2o9b2o4\$5bo10bo10bo10bo\$5bo10bo10bo10bo13\$5bo10bo10bo10bo\$5bo10bo10bo10bo4\$5bo10bo10bo10bo\$3bobo8bobo8bobo8bobo3\$4b2o3\$4b2o9b2o3\$4b2o9b2o9b2o4\$4bo10bo10bo10bo\$4bo10bo10bo10bo!`

2718281828

Posts: 509
Joined: August 8th, 2017, 5:38 pm

### Re: Rules with small adjustable spaceships

A similar concept from drc posted a few years ago:

`x = 3, y = 3, rule = B346/S12/G3.A\$A.A\$A.A![[ THEME Blues ]]`

`x = 3, y = 3, rule = B346/S12/G4.A\$A.A\$A.A![[ THEME Blues ]]`

`x = 3, y = 3, rule = B346/S12/G5.A\$A.A\$A.A![[ THEME Blues ]]`

`x = 3, y = 3, rule = B346/S12/G6.A\$A.A\$A.A![[ THEME Blues ]]`

`x = 3, y = 3, rule = B346/S12/G7.A\$A.A\$A.A![[ THEME Blues ]]`

`x = 3, y = 3, rule = B346/S12/G256.A\$A.A\$A.A![[ THEME Blues ]]`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3217
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with small adjustable spaceships

A while ago I had an idea which would result in all rational speeds below a certain value (including unreduced speeds). Here is a proof of concept (except that there is only a push reaction; in such a ship the other side would pull the dot instead of push it):
`x = 8, y = 35, rule = B2cek3-jkqr4kqrtwy5-cy6-kn/S02-kn3ir4ijknwyz5cino6\$bo\$obo22\$7bo4\$bo\$obo!`

Actually, it's a lot like a moving glider loop. To ensure that all speeds can be reached, the phase changes need to be a specific way (so that the ships with 1 signal inside have a period of 4n).

Perhaps a different ship without B2c should be used because then there only needs to be 1 column of space between the lanes.
[off-topic]
Coincidentally, the above rule has a second reflection reaction with this ship and a dot:
`x = 5, y = 7, rule = B2cek3-jkqr4kqrtwy5-cy6-kn/S02-kn3ir4ijknwyz5cino5\$3bo\$2bobo!`

It allows for really satisfying things like this:
`x = 43, y = 35, rule = B2cek3-jkqr4kqrtwy5-cy6-kn/S02-kn3ir4ijknwyz5cin20bo9\$10bo3\$13bo\$12bobo\$28bo2\$o\$15bo7\$7bo4\$21bo20bo6\$33bo!`

[/off-topic]
`x = 4, y = 2, rule = B3/S23ob2o\$2obo!`

(Check Gen 2)

toroidalet

Posts: 905
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Rules with small adjustable spaceships

I've been trying to find a reaction that can pull and flip in the same rule as a push and flip reaction, but no luck yet. I had actually tried to find a ship with this idea before, but I could not find anything.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 863
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

muzik wrote:A similar concept from drc posted a few years ago:

`x = 3, y = 3, rule = B346/S12/G3.A\$A.A\$A.A![[ THEME Blues ]]`

Here's another Generations ship which can be slowed by increasing the number of states:
`x = 7, y = 5, rule = 235678/3456/72.3A\$.5A\$AF.CDCA\$.5A\$2.3A!`

`x = 7, y = 5, rule = 235678/3456/82.3A\$.5A\$AG.CDCA\$.5A\$2.3A!`

`x = 7, y = 5, rule = 235678/3456/92.3A\$.5A\$AH.CDCA\$.5A\$2.3A!`

`x = 7, y = 5, rule = 235678/3456/102.3A\$.5A\$AI.CDCA\$.5A\$2.3A!`

...

`x = 7, y = 5, rule = 235678/3456/1002.3A\$.5A\$AsC.CDCA\$.5A\$2.3A!`

With six states, the ship still sort of works, but behaves somewhat differently:
`[code]x = 7, y = 5, rule = 235678/3456/62.3A\$.5A\$AE.CDCA\$.5A\$2.3A!`

77topaz

Posts: 1209
Joined: January 12th, 2018, 9:19 pm

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