Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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83bismuth38
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by 83bismuth38 » July 13th, 2017, 11:09 am

i have taken reply 100. also, to make this legitimate:

Code: Select all

x = 4, y = 3, rule = B2/S34V
obo$3bo$obo!

Code: Select all

x = 5, y = 5, rule = B2/S34H
2bo$4o$bob2o$2b2o$2b3o!

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
No football of any dui mauris said that.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wildmyron » July 14th, 2017, 2:58 am

A p14 oscillator resulting from a dot catalysing a sparky reaction:

Code: Select all

x = 2, y = 6, rule = B2ck3aq4aek/S02c3j4r
o2$o3$bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by toroidalet » July 15th, 2017, 12:24 pm

9c/48 diagonal puffer, anyone?

Code: Select all

x = 19, y = 19, rule = B36n7e/S23
5bo$4bobo$4bobo$5bo$b2o$o2bo$b2o5b3o$7bo2bo$6bo3bo$6bo2bo$6b3o4$16b3o$
15bo2bo$14bo3bo$14bo2bo$14b3o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by toroidalet » July 22nd, 2017, 12:57 pm

bump
c/4 ship in B35y/S23, smaller than the one in life:

Code: Select all

x = 9, y = 6, rule = B35y/S23
3o3b3o$3bobo2$4bo$b3ob3o$b2o3b2o!
(well, it's definitely more compact.)
Works in B34e5y7e/S23. Let's see if it becomes natural.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » July 22nd, 2017, 11:55 pm

Switcher:

Code: Select all

x = 114, y = 23, rule = B3/S2-i34n
21b2o49b2o$22bo49bo$22bobo45bobo$23b2o45b2o4$46bo$45bobo$45bo2bo$obo
39b2o2b2o24bo40bo$o2bo37b3o28b3o37b2o$obo39b2o2b2o24bo40bo$45bo2bo$45b
obo$46bo4$23b2o45b2o$22bobo45bobo$22bo49bo$21b2o49b2o!
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Current rule interest: B2ce3-ir4a5y/S2-c3-y

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by A for awesome » July 28th, 2017, 9:49 pm

Variation on @AbhpzTa's infinite orthogonal speeds rule:

Code: Select all

x = 10, y = 31, rule = B2ci3aer4ai5-c6c/S2-kn3-cenq4-k5eiy6c
bo3bo$ob4o$bo3bo5$bo4bo$ob5o$bo4bo5$bo5bo$ob6o$bo5bo5$bo6bo$ob7o$bo6bo
5$bo7bo$ob8o$bo7bo!
Edit: A close call for an odd-speed rule:

Code: Select all

x = 23, y = 4, rule = B2c3ajr4i5-ay6c7/S123eknqr4etz56ac7
o$o2b19o$b3o18bo$3b19o!
Edit 2: Another interesting close call:

Code: Select all

x = 41, y = 3, rule = B2ci3acjry4eik5-ajny6c7e8/S123cenr4etz5-ij6ck78
o2b37o$4o36bo$o2b37o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by A for awesome » July 29th, 2017, 12:26 am

All speeds of the form c/(2n+1), n > 3:

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!
Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.
Last edited by A for awesome on July 29th, 2017, 10:52 am, edited 1 time in total.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » July 29th, 2017, 12:38 am

A for awesome wrote:All speeds of the form c/(2n+1):

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!
Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.
Hah. Muziks collection is dead.
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 29th, 2017, 11:09 am

Saka wrote:
A for awesome wrote:All speeds of the form c/(2n+1):

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!
Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.
Hah. Muziks collection is dead.
Wait until Muzik finds out.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » July 29th, 2017, 4:50 pm

A for awesome wrote:All speeds of the form c/(2n+1), n > 3:

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!
Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.
Well isn't that sexy.


Not only does this decrease the massive mashup ruletable to just 3 rules, it also brings up the question: could a single non-mashup rule which has both the odd and even adjustable speed syringenterprises exist? Optional preferred extras would be having spaceships of speeds c/2, c/3 and c/5, and the ability to search said rule on Catagolue.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 29th, 2017, 5:23 pm

If B34w/S23 explodes, then why doesn't B34w5a/S23 explode?

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by toroidalet » July 29th, 2017, 5:39 pm

wwei23 wrote:If B34w/S23 explodes, then why doesn't B34w5a/S23 explode?
Easy: B34w/S23 contains a dirty replicator:

Code: Select all

x = 9, y = 9, rule = B34w/S23
b3o$o3bo3$7bo$8bo$8bo$8bo$7bo!
In B34w5a/S23 it doesn't replicate.

Code: Select all

x = 9, y = 9, rule = B34w5a/S23
b3o$o3bo3$7bo$8bo$8bo$8bo$7bo!
Same reason why B34w/S236c doesn't explode even though S6c usually makes near-B3/S23 rules explode.

Code: Select all

x = 9, y = 9, rule = B34w/S236c
b3o$o3bo3$7bo$8bo$8bo$8bo$7bo!
Speaking of B34w/S236c, here's a p26:

Code: Select all

x = 18, y = 18, rule = B34w/S236c
6bobo$5b2o2bo$6bobo3$bo$3o2$obo13bo$bo13bobo2$15b3o$16bo3$9bobo$8bo2b
2o$9bobo!
Another p26:

Code: Select all

x = 12, y = 13, rule = B34w/S236c
3b2o$4bo$bo7bobo$o3bo3bob2o$bobo5bobo$2bo2$2bo$bobo5bobo$o3bo3bob2o$bo
7bobo$4bo$3b2o!
p72 blinker-pair factory:

Code: Select all

x = 8, y = 8, rule = B34w/S236c
3o$bo4$7bo$6b2o$7bo!
10c/214 (5c/107) wave:

Code: Select all

x = 120, y = 120, rule = B34w/S236c
bo$2o$bo12$13b3o$14bo11$27bo$26b2o$27bo12$39b3o$40bo11$53bo$52b2o$53bo
12$65b3o$66bo11$79bo$78b2o$79bo12$91b3o$92bo11$105bo$104b2o$105bo12$
117b3o$118bo!
p26 in a different rule:

Code: Select all

x = 20, y = 20, rule = B36n/S236c
15bo$7bobo5bo$6b2o2bo$7bobo$18b2o2$2bo$b3o2$bobo13bo$2bo13bobo2$16b3o$
17bo2$2o$10bobo$9bo2b2o$4bo5bobo$4bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » July 29th, 2017, 6:08 pm

I would argue that the rule posted actually simulates all speeds c/(2n+1), n > 2, since there exists a c/5 spaceship that looks pretty systematic in a phase different than what was posted above.

Code: Select all

x = 17, y = 7, rule = B2c3aj4nrt5i6c78_S1c23enr4aet5-iq67
15bo$8bo5bobo$bo5bobo4bobo$obo4bobo5bo$obo5bo6bo$bo6bo6bo$3o4b3o4b3o!
Here are natural c/5, c/7, c/9 and c/13 ships:

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
obboooboobobbobo$
bobboobbbobbbboo$
boobbboobobobbob$
obobbbboobbbbobb$
boobooboboooobbb$
bbbboboooobboooo$
bobobobboboboobo$
boboobbobboooooo$
bbbbbobboooooobo$
obbboooobboooooo$
obobbbbooobobboo$
bboooooooobooooo$
bbbbooooooobbbbb$
bbbobbobbobooobo$
bbobbbboobbbbboo$
bbbbboobbobobooo!

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
obobbbbobboobboo$
obbooobboooooooo$
bbobboobooobbobb$
obbbbbbbobboooob$
booobooboboobobb$
bbooobbbboboboob$
obbbobobbboboboo$
booooboooboobooo$
obbbobbbbbbooboo$
bboboooooobooobb$
oobobobobbbbbboo$
obbobobboobbbboo$
oooobboobbboobob$
bobboooboboobbbo$
bbboooobbbboooob$
obbbbbbooobobobb!

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
obbbbooboooobooo$
bbboooobbboooobo$
oobooboooooboooo$
booboobbboobooob$
ooobobobobbbobob$
oboooooooboboboo$
ooooooboobbobbbo$
bobboobbobbobbob$
obboboooobbobooo$
boboobbooboobboo$
obbbooobobobbooo$
obooboobbboboboo$
bbbooobooobobobo$
oboobobobboooobb$
boboooobbbbooooo$
boboobboooobbobo!

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
ooooooooooobbooo$
oboboboobobobooo$
boobobobobbboobo$
bbbboobobboboooo$
obbobobboobooobo$
oooobboobobbbboo$
obbboooobbobobbo$
oooboobobbbobooo$
oobooboobbbboboo$
boobbobbooboboob$
bboboobbbbooobob$
bbbobobooboobooo$
boooobooooboboob$
obbbobbbbobbobbb$
bobbboobbobbobbo$
bobooboobobbobbb!
And a yl8:

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
bboboobooboobbbb$
bbbbbobbbboooboo$
boboobbooooobbbb$
ooooooboboobbboo$
bbobbbooooobobob$
obbboboooooboooo$
bbooobbboobbbboo$
bbobbboobboooooo$
obbooobbobbbbbbo$
bboboboobobboobo$
bbbobbbbobbboboo$
bbobboooooboobbb$
obobbbboobobobbo$
boooobbbbboooboo$
bbbbbobbobbbbobo$
oobbbbobobobboob!
one of those sqrt growers things:

Code: Select all

x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
bbbobboobooboobb$
ooooobbbooboobbo$
obooobooooobbbbo$
ooobbbboobooboob$
bbobbbobbobobbbo$
bbbbobbboobbbbbo$
oooobbbbooobobob$
bbbbbbbboboooobb$
booobooobbbobobb$
boooooobbbobbbob$
obooooobobobobob$
bobooobbbobobbob$
bbooboooooobbboo$
bboboboobboooboo$
obbooboobboboobb$
bobbbooboobbooob$
obbooboobboboobb$
bboboboobboooboo$
bbooboooooobbboo$
bobooobbbobobbob$
obooooobobobobob$
boooooobbbobbbob$
booobooobbbobobb$
bbbbbbbboboooobb$
oooobbbbooobobob$
bbbbobbboobbbbbo$
bbobbbobbobobbbo$
ooobbbboobooboob$
obooobooooobbbbo$
ooooobbbooboobbo$
bbbobboobooboobb!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 29th, 2017, 7:22 pm

muzik wrote: one of those sqrt growers things:

Code: Select all

big soup
I thought that apgsearch made small soup not big soup.
Run this:

Code: Select all

x = 8, y = 8, rule = B34w/S23
3b3o$2bo3bo$bo5bo$o6bo$o6bo$o5bo$bo3bo$2b3o!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 29th, 2017, 7:40 pm

Symbiosis P39:

Code: Select all

x = 12, y = 5, rule = Symbiosis
4.AB$2.B.B3.2A$B3A.A.AB.AB$3.A.A.3AB$5.A.A!
Symbiosis P54 predecessor based on the P39:

Code: Select all

x = 12, y = 12, rule = Symbiosis
4.AB$2.B.B3.2A$B3A.A.AB.AB$3.A.A.3AB$5.A.A6$7.A$7.B!
Last edited by wwei23 on July 29th, 2017, 8:19 pm, edited 1 time in total.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by toroidalet » July 29th, 2017, 7:48 pm

wwei23 wrote: I thought that apgsearch made small soup not big soup.
Run this:

Code: Select all

pattern
Observations do not necessitate a post like that. Apgsearch has several symmetries. Some feature the soup (containing 256 on/off cells) reflected or rotated superimposed on itself. That is where these bigger soups come from.
The 3c/6 ship in B34w/S23 is well-known.
Also, please post your symbiosis patterns in the symbiosis thread.
I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.
The oscillators can be made smaller:

Code: Select all

x = 11, y = 5, rule = Symbiosis
7.B$2.B.B3.A$B3A.A.AB$3.A.A.3AB$5.A.A!

Code: Select all

x = 11, y = 12, rule = Symbiosis
7.B$2.B.B3.A$B3A.A.AB$3.A.A.3AB$5.A.A6$7.A$7.B!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » July 29th, 2017, 8:16 pm

First knightship in a B2a rule? (2,1)c/7

Code: Select all

x = 2, y = 5, rule = B2ain3aceny4-aeirz5jknry6aek8/S02n3c4kry5inr6i
o2$bo2$bo!
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)

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 29th, 2017, 8:22 pm

I wonder what this will do:

Code: Select all

x = 1, y = 1, rule = 23/03/3
A!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » July 29th, 2017, 8:23 pm

4c/7! Finally, I think this is the second velocity between c and c/2 that is not a 2c/3. Can someone confirm this?

Code: Select all

x = 4, y = 1, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
2obo!
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)

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 29th, 2017, 8:29 pm

drc wrote:Potential p652 in a rule that borders on explosive, but doesn't explode

Code: Select all

x = 3, y = 4, rule = B3_S235e
2o$b2o$2o$o!
What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Gamedziner » July 29th, 2017, 9:56 pm

wwei23 wrote:What's with all the small lakes? Also, why do the honey farms have tubs in the middle?
For the honey farms, the interaction that destroys the tub cannot occur here due to s5e. Interestingly, this interaction only occurs once (between T = 11 and T = 12 in the code below) for both tub destruction and usage of s5e.

Code: Select all

x = 5, y = 5, rule = B3_S235e
2bo$b3o$o3bo$b3o$2bo!

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$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!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by A for awesome » July 29th, 2017, 10:25 pm

AforAmpere wrote:First knightship in a B2a rule? (2,1)c/7

Code: Select all

x = 2, y = 5, rule = B2ain3aceny4-aeirz5jknry6aek8/S02n3c4kry5inr6i
o2$bo2$bo!
This is really interesting! I don't know of any others, but I feel like a p5 knightship might be possible in Live Free or Die (based on preliminary JLS searches, although I may not be remembering correctly).
AforAmpere wrote:4c/7! Finally, I think this is the second velocity between c and c/2 that is not a 2c/3. Can someone confirm this?

Code: Select all

x = 4, y = 1, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
2obo!
I know of two others, both in B0 rules (5c/8 orthogonal and 3c/4 diagonal, although I don't remember where I saw the former). I feel like I've seen a 3c/4 or a 3c/5 somewhere before, too, but I don't remember for sure. Anyway, that's a pretty good discovery, and definitely the smallest possible example of such a velocity. A puffer:

Code: Select all

x = 4, y = 11, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
3o$2b2o$3o8$2obo!
EDIT: Here's a 3c/4 puffer:

Code: Select all

x = 11, y = 7, rule = B2-ek3ak/S03j4in
3b2ob2o$2b2o3b2o$b2o5b2o$2b2o3b2o$b2obobob2o$4bobo$o9bo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Aidan F. Pierce

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Apple Bottom » July 30th, 2017, 7:49 am

toroidalet wrote:I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.
Good idea; here it is.
If you speak, your speech must be better than your silence would have been. — Arabian proverb

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » July 30th, 2017, 10:00 am

This is the only 3c/5 that I know of, found by Wildmyron, but first identified by me (it was found using Wildmyron's script).

Code: Select all

x = 3, y = 3, rule = B2-ek3-ijn4-cjkn5-aqry6en7c8/S02ain3ceiqr4jqw5-ak6an
2bo$o$2bo!
Where did that 3c/4 puffer come from?
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)

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » July 30th, 2017, 10:03 am

Apple Bottom wrote:
toroidalet wrote:I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.
Good idea; here it is.
...and the other "it".
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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