Thread for basic non-CGOL questions

[confocaloid]

Golly and LifeViewer support "circular" higher-range neighbourhoods, which are approximations of circles on the square tiling:

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#C [[ GRID ZOOM 4 STARTFROM 1 ]]
x = 1, y = 1, rule = R49,C0,S,B1,NC
o!

Did anyone investigate neighbourhoods that are approximations of circles on the hexagonal tiling? What is known about these?

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#C Approximations of circles with radii 7 and 49, on the hexagonal tiling:
#C [[ GRID ]]
x = 113, y = 113, rule = B/S0123456H
21b15o$17b24o$15b29o$13b34o$11b39o$10b42o$9b45o$7b50o$7b51o$6b54o$5b
57o$4b60o$4b61o$3b64o$3b65o$2b68o$2b69o$b72o$b73o$b74o$b75o$78o$79o$
80o$81o$82o$83o$84o$85o$86o$87o$88o$89o$90o$91o$92o$b91o$b92o$b93o$b
94o$b95o$2b94o$2b95o$2b96o$3b95o$3b96o$3b97o$4b96o$4b97o$4b98o$5b97o$
5b98o$6b97o$6b98o$7b97o$7b98o$7b99o$8b98o$9b97o$9b98o$10b97o$10b98o$
11b97o$11b98o$12b97o$13b96o$13b97o$14b96o$15b95o$15b96o$16b95o$17b94o$
17b95o$18b94o$19b93o$20b92o$21b91o$21b92o$22b91o$23b90o$24b89o$25b88o$
26b87o$27b86o$28b85o$29b84o$30b83o$31b82o$32b81o$33b80o$34b79o$35b78o$
37b75o$38b74o$39b73o$40b72o$3b3o36b69o$b8o34b68o$b9o35b65o$12o34b64o$
13o35b61o$14o35b60o$b13o37b57o$b14o38b54o$b15o39b51o$2b14o40b50o$3b13o
43b45o$3b14o44b42o$4b13o46b39o$5b12o49b34o$7b9o53b29o$8b8o56b24o$11b3o
63b15o!

[LuveelVoom]

Are there any outer-totalistic cellular automata that have a very common (basically, within 1/10 or so of the frequency of the glider) spaceship other than the glider? Isotropic non-totalistic has plenty of these, but I haven't noticed any in OTL (though jellyfish is close)

[confocaloid]

Assuming that you mean Life-like cellular automata that support the glider (in other words, no Seeds or other Life-like CA where the glider doesn't work but there is another common spaceship, and also no outer-totalistic CA with higher-range weirdly-shaped neighbourhoods), how about B367/S23?

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x = 20, y = 13, rule = B367/S23
18bo$17b3o$16bo2bo$17bobo7$bo$o$3o!

[LuveelVoom]

It does not have to support the glider.

[confocaloid]

It does not have to support the glider.

In that case, (already mentioned) Seeds (B2/S) should count as an example. It's a Life-like cellular automaton with common spaceships that aren't the glider:

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x = 1, y = 1, rule = B2/S
o!
#C [[ ZOOM 4 RANDOMIZE RANDWIDTH 16 RANDHEIGHT 16 RANDFILL 20 RANDSEED 1729 ]]

[muzik]

Did anyone investigate neighbourhoods that are approximations of circles on the hexagonal tiling? What is known about these?

Is there an easy way to define a circular neighbourhood of range n on the hexagonal grid, where 0 <= n <= 500, like there is on the square tiling?

Indeed, is this also possible on the triangular tiling?

[confocaloid]

Did anyone investigate neighbourhoods that are approximations of circles on the hexagonal tiling? What is known about these?

Is there an easy way to define a circular neighbourhood of range n on the hexagonal grid, where 0 <= n <= 500, like there is on the square tiling?

It should be straightforward to define approximations of circles on regular plane tilings, by looking at face centres and distances between them. (For non-regular tilings it will be more complicated because there are two or more different neighbourhoods and there can be different "radii" for those.)

Start with some "grid" (some regular tiling). Replace the "cells" (faces of the tiling) by centres of those faces, so that there are single points with specific coordinates rather than polygonal faces. Take one point as the origin, choose the "radius" (a positive real number, R), and find points whose distance from the origin doesn't exceed the "radius" R.

For a regular tiling of the plane, this reduces to using trigonometry to find integral coordinates of those points, given the "radius" R. For the square tiling (leading to the square lattice of points), the law of cosines reduces to the Pythagorean theorem:

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x^2 + y^2 <= R^2

For the hexagonal tiling (leading to the hexagonal lattice of points), the law of cosines gives either

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a^2 + b^2 - a b <= R^2

or

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a^2 + b^2 + a b <= R^2

depending on how your coordinates (a,b) are defined.

[islptng]

Why do this explodes? 23/3/3 is more stable than Life.

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#R 12-in3k4r5i/2e3air4ijwz/3
! [[ RANDOMIZE ]]

EDIT since I don't want to doublepost:
Do (2,1)c/4 exist in non-B1e/B2a rules?

[dvgrn]

Moved to the OCA board -- the "basic questions" thread, and the Patterns board in general, is just for B3/S23.

Why do this explodes? 23/3/3 is more stable than Life.

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#R 12-in3k4r5i/2e3air4ijwz/3
! [[ RANDOMIZE ]]

OCA is littered with cases like this. You can't make accurate predictions about adjusting two rules in "the same way"; sometimes you'll get a similar result, but sometimes you won't.

This is due to the emergence of behavior that is quite often completely specific to each rule.

In this case, adding the "/3" enables a completely new type of behavior. There's a "bubbles bursting" effect that shows up constantly all over the place:

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x = 3, y = 3, rule = 12-in3k4r5i/2e3air4ijwz/3
3A$2.A$.2A!

Without the extra state, the bubbles don't build up and divide in the same way --

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x = 3, y = 3, rule = 12-in3k4r5i/2e3air4ijwz
3A$2.A$.2A!

-- so the large scale behavior ends up being completely different.

[Layz Boi]

Are there any outer-totalistic cellular automata that have a very common (basically, within 1/10 or so of the frequency of the glider) spaceship other than the glider? Isotropic non-totalistic has plenty of these, but I haven't noticed any in OTL (though jellyfish is close)

I don't have a quantity for how frequent they are, but there's a c/4o ship in this rule that seems very common:

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# [[ RANDOMIZE ]]
x = 80, y = 80, rule = B01345/S124
!

If you're okay with explosive B0 rules that create big blobs of cells along with swarms of ships and replicators, then here's a neighborhood of rules like that: B01378/S012, B01378/S01, B017/S01, B0178/S01, B013478/S01, B013478/S012

[WhiteHawk]

Is there a sparker out there that does not trigger the moore transitions highligted below (S4c, B8, S8) in the p14 gun? It does not have to take care of all of them

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x = 72, y = 64, rule = LifeHistory
39.2A$38.A2.A.2A$37.A2.2A.A.A$37.2A.A4.A$38.A2.2A2.A.2A$36.A2.A.A2.2A
2.A$35.A.3A.A.A2.A$26.A9.A5.A.2A$26.3A8.3A$4.2A23.A10.6A$4.A.A4.2A3.2A
6.4A2.A4.3A.2A4.A$7.A3.2A2.A.A6.A3.2A4.A3.A.A.2A$2A3.2A.A6.A.A.2A.2A3.
A4.A2.4A.A.A$.A2.A.A.7A.A.A.A.A5.6A.A.A2.A3.A$A3.A2.A8.A3.A2.A4.A6.A2.
A2.4A$4A.A2.6A2.2A.6A5.5A3.2A$5.3A4.A2.3A.A4.A8.A5.A.2A$2A3.A.A.A4.A5.
A.2A10.2A.A.A.A.A$A4.A.A.A.10A.A4.A6.A3.A.A2.A$.3A.2A2.A12.A3.A.A5.A3.
A.A.A$4.A4.4A2.2A2.2A.A.3A.A4.5A3.A$.2A.A7.A2.A4.A2.A4.2A2.5A$.A.A7.A
4.A3.A3.4A2.A5.A$10.A.4A2.2A.3A4.2A5.A$11.A4.2A.A.A3.2A.A.A3.2A3.2A$12.
3A.A9.A.A2.2A.A3.A2.A$14.A2.4A4.A2.A4.C4.3A$15.2A4.A4.3A.3A.A$17.5A7.
A.2A3.3A$17.A.4A3.2A.A4.2A3.A$4.2A8.2A.A5.A.A.A.2A4.A3.A$5.A8.A2.A2.A
2.A.A3.A2.2A3.A.2A$5.A.A7.2A2.A.A.A2.A2.A6.2A3.A$6.3A.2A5.5A.3A2.2A.A
6.3A3.2A$8.2A.A5.A4.A7.2A.A4.A5.A2.2A$8.3A7.3A.A.6A2.2A11.A.A$4.2A3.A
10.A.A.A9.2A8.2A.A2.2A10.2A$4.A2.A.A17.2A.A2.A.A7.A3.A.A.A10.A.A.2A$6.
2A.A2.A8.3A3.A4.A2.A6.3A.2A.A14.A.A.A.2A$10.2A16.A.D.A2.2A.2A23.2A3.A
.A$29.2A.2A6.A5.2A4.2A.2A7.A3.A2.A$22.A7.2D2A3.A2.A4.3A3.6A2.2A2.A5.2A
$21.3A13.A2.A3.A13.A5.5A$11.2A7.5A12.2A.A3.2A4.A.A2.A.A3.A6.A$11.2A6.
2A3.2A4.A7.A.A3.A3.A.A.2A.A.11A$10.A8.2A.3A3.A.A7.A.A.A.A.A.A.A14.A$9.
3A8.4A5.2A8.A.A.2A.2A2.A.A.9A$19.A2.A10.A7.A3.A4.A.2A5.A2.A$34.A5.2A3.
A.3A5.2A$14.3A7.A7.3A11.2A8.A$15.A7.A.A28.A$13.2A9.A12.A16.2A$13.2A20.
A.A$36.2A$40.A$41.A$14.2A23.3A$14.A.A$15.2A27.A$42.A.A$12.2A29.2A$13.
A33.A$10.3A35.A$10.A35.3A!

[muzik]

Can anyone figure out the period of the following object? I've had this running in Identify in LifeViewer Pro since last night and there still isn't a sign of it repeating even after 9.8 billion generations. Upper bound for a period is 2^96 (two states raised to the number of half of the cells in the envelope) - we can probably reduce that upper bound considerably given that the population is conserved.

Code: Select all

# period >= 10^10
x = 23, y = 16, rule = M0,1,2,3,4,10,6,11,8,9,5,13,12,14,7,15
14b2o$14bo$10b2obob2o$9b4obob3o$6b2o2b4o3b3o$5bob3ob4o2bob2o$2b4ob5ob
3o3bobo$b5obobob3ob2o2bo2bo$b5obobob3ob2o2bo2bo$2b4ob5ob3o3bobo$5bob3o
b4o2bob2o$6b2o2b4o3b3o$9b4obob3o$10b2obob2o$14bo$14b2o!
[[ THEME Mono HISTORYSTATES 0 AGESTATES 0 SHOWGENSTATS LABEL 12 -3 16 "#G" SHOWTIMING EXTENDEDTIMING AUTOIDENTIFY ]]

[muzik]

I've decided to cut the above identification short at 12.5 billion generations, as it's been almost 24 hours since I started:

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x = 21, y = 16, rule = M0,1,2,3,4,10,6,11,8,9,5,13,12,14,7,15
13bo$11b4o$8b2obob3o$7b8o$5bob3ob2o2bo$5b2ob3obob4o$13o2b2o2bo$bob2o2b
o3b3ob3ob2o$bob2o2bo3b3ob3ob2o$13o2b2o2bo$5b2ob3obob4o$5bob3ob2o2bo$7b
8o$8b2obob3o$11b4o$13bo!

IMG_7406.jpeg (529.82 KiB) Viewed 677 times

[islptng]

The T in Tlife works without S4q, but why Tlife is B3/S2-i34q?

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#R B3/S2-i3
3o$bo!

EDIT:
Why TLife uses that T, instead of other T-ship, for example, B3/S23-a6c?

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#R B3/S23-a6c
3o$bo!

[confocaloid]

The T in Tlife works without S4q, but why Tlife is B3/S2-i34q? [...]
Why TLife uses that T, instead of other T-ship, for example, B3/S23-a6c? [...]

(1) Maybe because the rules of tlife were picked for further investigation due to reasons other than/not limited to existence of the T?
For example, I believe the following small spaceship requires the rule S4q. It doesn't work after the "S4q -> D4q" rule tweak:

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x = 4, y = 4, rule = B3/S2-i34q
2b2o$2b2o$ob2o$bo!

(2) I don't understand the question. The CA "tlife" doesn't use that T, it's just that that T exists in the CA "tlife".
Asking "why this one and not another one" doesn't seem to be a clear interesting question. (All reactions follow the prescribed rules.)

I've decided to cut the above identification short at 12.5 billion generations, as it's been almost 24 hours since I started: [...]

I'm curious, why a quick double-post instead of editing the most recent post, given that the new post is about the same topic and it doesn't seem to add anything that would need extra attention? The forum rule 3a says: "Do not post multiple messages consecutively in the same topic. If your message is the most recent one in a topic, simply edit it if you have additional things to add." viewtopic.php?f=3&t=2092

[WhiteHawk]

The current p57 gun in B3(8)/S238 exists in this massive quetzal form, which is almost certainly not the smallest gun that could exist.

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x = 582, y = 104, rule = B3/S238
14bob2o9bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o
12bo35b2o12bo35b2o12bo35b2o12bo$14b2obo9b3o5b2o27bo12b3o5b2o27bo12b3o
5b2o27bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o
27bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o$30bo4bo28bobo13bo4bo28bobo13b
o4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo
28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo$12b5o12bo3bobo29b2o12bo3bobo29b
2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b
2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo$11bo4bo11bo3bob
o43bo3bobo33b3o7bo3bobo43bo3bobo43bo3bobo34bo8bo3bobo43bo3bobo43bo3bo
bo43bo3bobo43bo3bobo43bo3bobo$10bo2bo14b2o3bo44b2o3bo34b3o7b2o3bo44b2o
b2o45b2o3bo34bo9b2o3bo44b2o3bo44b2o3bo35bo8b2o3bo35bo8b2o3bo44b2o3bo$
7bo2bob2o43bo49bo9bo39bo49bo49bo10b3o36bo49bo49bo10bobo36bo10bobo36bo
49bo16bo$6bobobo5bo38b3o47b3o47b3o47b3o47b3o10b3o34b3o47b3o47b3o12bo34b
3o13bo33b3o47b3o8b2o5bobo$7bo2bo4bobo14b2o8bo11bo49bo12b2o2b2o10bobo18b
o33b2o14bo49bo13b2o9b2o23bo14bo16bo3b2o12bo49bo14bo7b2ob2o22bo11b2o3b
o14bobo15bo27b3o6b3o10bo10bo2bo5bo$10b2o2bo2bo15b2o5b2ob2o9b2o26b2o7b
2o11b2o12b6o5bobo9b2o11b2o31bobo14b2o48b2o22b4o9b2o11b2o12b3o13b2obob
3o12b2o25b2o9bo11b2o19b2o4bo9b2o11b2o9bo3bob2o8b3o7b2o11b2o28bo5b4o10b
2o10bobo$15b2o15bo7bo50b2o24bo3bo2bo4bo11b2o44bo89b3obo9b2o25bob2o12b
o4b3o38bobo8b2o39b2o7b2o5bob2ob2o11bo5bo8bo2b2o4bobo29bo10bo5b2o2b2o17b
4obo4b5o$21b3o16bo3bo36bobo17b2o14bobo9bobo3bo33bo17b3o39b3o11bo4bo29b
3obo18bo18b2o12bo3bo37bo5bo7bo2bo31bo4bob2o13bo2bob2o14bobobo8b2ob4o34b
o17bob2o18b2ob2o5bo4bo$41b3o35bo15bo3bo2bo15b3o11b2obo16bo15b3o55bo4b
o9b2obo4bo29b3o17b2obo32b3o35b2o2bo13b2o33b2o2bob2o13bo5bo15b2o12b3o34b
o20b3o21bo9bo2bo$8b2o9b2obobob2o47b2obob2o11b2o3bo3bo16b2o30b2o14bo2b
2o20bobo30b2o3bo9bobobo3bo31b2o16bo3bo34bo34bo5bo48bo2bo14b2o2bobo67b
3o3bo16bo32b2obo$7bo2bo8bo2bobo51bob2o13bo4bo18b4o29bo2b2o11b2o3b2obo
17bobo29b2o14bo2bo54bo2b2o68b2ob2o69bo3bob2o49bo3bo11bo3bob2o46bo5bob
2o$7bobo2bo6b3obo21bo12bo18bo15bo2bo2b2o16bo32b2o4bo10bobo2b2o3bo16bo
30bo2bo13bo55b2ob2o69b4o3bo65bobobobo49b3obo2bo10b5o20b3o11bo12bobo4b
obo$8bo3bo13b2o16b3o9b3o35bo20b3o36b3o11b2o3bob2obo26bo20b2o15bob2o15b
2o36b2o3bo11bobo32b2o2bobo14bo4bo15b2o13bo3b2o31b3o17b2o33bobobo14b3o
3b2o16b3o9bo2bo11bo2bo2b2o2bo$12bo9bo4bo19bo8b3o36bo18b2o39b2o10b2o7b
obo15bo9bob2o35bo2bo14bo2bo41b2o9b2o32bo2b2o2bo16b3o16b3o11b2o4b3o48b
o2bo38bo19bo16bo2b2o6bo3bo12b2o6b2o$9bo16bo17bo2b2o6bo3bo6b2o45b2o51b
2o9b3o18bo4b2obo9b2o25b3o14b2o2bo40b2o10bo33bo2b2o10b2o7bo16b2o2bo10b
2o8bo38bobo6b2ob2o37b2o7b2o8bo20b2o6bo3bo$10b2o13bo3b2o10bo2bo3bo7b4o
6b2o11b2o28bo4b2o13b2o35b2o11b2o12bo4bo5bo11b2o11b2o30b2o2bo13b2o48b2o
20bobo2b2o8b2o11b2o11bo2b2o11b5o2bobo11b2o26b2o8bo11b2o20bo3bobo8b2o11b
2o10b3o3b2o6bo3b2o$29bo11b2o13b2obo19bo27bobo19bo49bo13bo35bo32b4o13b
o49bo13bo35bo12bo2bo14b3o3bo12bo27bo21bo25bobo21bo11b3obo10bo2bo$30b3o
11bobo33b3o25b2o20b3o47b3o10bo36b3o47b3o47b3o9bobo35b3o10b3o34b3o47b3o
47b3o9bobo$24b2ob3o2bo10b2obo35bo49bo49bo49bo49bo49bo9bo2bo36bo49bo49b
o49bo10bo2bo$23bobobo2bo13b2o7b2o3bo44b2o3bo44b2o3bo35b2o7b2o3bo44b2o
3bo44b2o3bo35bo8b2o3bo44b2o3bo44b2o3bo44b2o3bo34b3o7b2o3bo$6b2o9bo6bo
2bobo23bo3bobo43bo3bobo43bo3bobo34b2o7bo3bobo43bo3bobo43bo3bobo43bo3b
obo43bo3bobo43bo3bobo43bo3bobo43bo3bobo$7bo9b2o8bob2o9b2o12bo3bobo29b
2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b
2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3bobo29b2o12bo3b2o$7b
obo6bobo7b2o3bo7bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28b
obo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13bo4bo28bobo13b
o4bo28bobo13bo$8b2o13bobo2bobo8bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o27b
o12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o27bo12b3o5b2o27bo12b
3o5b2o27bo12b3o5b2o27bo13bob5o11bo8b2o$23b2o2b2ob2o6b2o12bo35b2o12bo35b
2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo35b2o12bo
35b2o13b2o4bo10b3o3b2o2bo$12b4o540b2obob2o6b5o2bobobo$11bo2b3o536b2ob
obobobo5b3ob2o5bo$12bo3bo536bobo4bo7b2ob2o$12bo2bo543b2o9bo6bo$13b3o560b
obo$577bo$578b3o$580bo2$553bo$9b2o542b3o$9b2o14b2o529bo$25bo529b2o14b
2o$26b3o542b2o$28bo2$bo$b3o$4bo$3bobo560b3o$4bo6bo9b2o543bo2bo$9b2ob2o
7bo4bobo536bo3bo$2bo5b2ob3o5bobobobob2o536b3o2bo$bobobo2b5o6b2obob2o540b
4o$bo2b2o3b3o10bo4b2o13b2o35bo12b2o35bo12b2o35bo12b2o35bo12b2o35bo12b
2o35bo12b2o35bo12b2o35bo12b2o35bo12b2o35bo12b2o6b2ob2o2b2o$2o8bo11b5o
bo13bo27b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12b
o27b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12bo8bo
bo2bobo13b2o$26bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo
13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bobo28bo4bo13bo
bo28bo4bo13bobo7bo3b2o7bobo6bobo$22b2o3bo12b2o29bobo3bo12b2o29bobo3bo
12b2o29bobo3bo12b2o29bobo3bo12b2o29bobo3bo12b2o29bobo3bo12b2o29bobo3b
o12b2o29bobo3bo12b2o29bobo3bo12b2o29bobo3bo12b2o9b2obo8b2o9bo$22bobo3b
o43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo7b2o34b
obo3bo43bobo3bo43bobo3bo23bobo2bo6bo9b2o$23bo3b2o7b3o34bo3b2o44bo3b2o
44bo3b2o44bo3b2o8bo35bo3b2o44bo3b2o44bo3b2o7b2o35bo3b2o44bo3b2o44bo3b
2o7b2o13bo2bobobo$35bo2bo10bo49bo49bo49bo36bo2bo9bo49bo49bo49bo49bo49b
o35bob2o10bo2b3ob2o$37bobo9b3o47b3o47b3o34b3o10b3o35bobo9b3o47b3o47b3o
36bo10b3o47b3o20b2o25b3o33bobo11b3o$22bo2bo10bob3o11bo21bobo25bo21bo27b
o12bo3b3o14bo2bo12bo35bo13bo49bo13b4o32bo35bo13bo49bo19bobo27bo19bob2o
13b2o11bo$21b2o3bo6b2o3b3o10b2o11b2o8bobo3bo20b2o11bo8b2o26b2o11bobo2b
5o11b2o2bo11b2o11b2o8b2o2bobo20b2o48b2o13bo2b2o30b2o11b2o11bo5bo4bo12b
2o11b2o35b2o13b2o4bo28b2o11b2o6b4o7bo3bo2bo10b2o3bo13b2o$22bo3bo6b2o20b
o8b2o7b2o37b2ob2o6bobo38bo8b2o10bo2b2o16bo7b2o10b2o2bo33bo10b2o40bo2b
2o14b3o25b2o9bob2o4bo18b3o9b2o51b2o45b2o6bo3bo6b2o2bo17bo16bo$2o6b2o12b
o3bo6b2o2bo16bo19bo38bo2bo48b3o4b2o11b3o16b3o16bo2b2o2bo32b2o9b2o41bo
2bo14bo2bo35b2obo9bo15bobo7b2o10b2o39b2o18bo36b3o8bo19bo4bo9bo$o2b2o2b
o2bo11bo2bo9b3o16b2o3b3o14bobobo33b2o17b3o31b2o3bo13b2o15bo4bo14bobo2b
2o32bobo11bo3b2o36b2o15b2obo15b2o20bo26bob2obo3b2o11b3o36b3o20bo35b3o
9b3o16b2o13bo3bo$bobo4bobo12bo11b3o20b5o10bo2bob3o49bobobobo65bo3b4o69b
2ob2o55bo13bo2bo30bo16bo3b2o2bobo10bo4b2o32bo16b2o2bo2bo15bo18bo12bo21b
ob3o6bo2bobo$2obo5bo46b2obo3bo11bo3bo49b2obo3bo69b2ob2o68b2o2bo54bo2b
o14b2o29bobo17bob2o3b2o11b2o2bo29b4o18bo4bo13b2obo51bobo2bo8bo2bo$3bo
b2o32bo16bo3b3o67bobo2b2o14bo2bo48bo5bo34bo34bo3bo16b2o31bo3bobobo9bo
3b2o30bobo20b2o2bo14b2o30b2o16bo3bo3b2o11b2obob2o47b2obobob2o9b2o$3bo
2bo9bo21b3o20bo34b3o12b2o15bo5bo13b2obo2b2o33b2o13bo2b2o35b3o32bob2o17b
3o29bo4bob2o9bo4bo55b3o15bo16bob2o11b3o15bo2bo3bo15bo35b3o$4bo4bo5b2o
b2o18b2obo17bo34b4ob2o8bobobo14b2obo2bo13b2obo4bo31bo2bo7bo5bo37bo3bo
12b2o18bo18bob3o29bo4bo11b3o39b3o17bo33bo3bobo9bobo14b2o17bobo36bo3bo
16b3o$5b5o4bob4o17b2o2b2o5bo10bo29bobo4b2o2bo8bo5bo11b2ob2obo5b2o7b2o
39b2o8bobo38b3o4bo12b2obo25b2o9bob3o89bo44b2o11bo4bo2bo3bo24b2o50bo7b
o15b2o$13bobo10b2o10b4o5bo28b2o11b2o7b3o8b2obo3bo9b2o11b2o9bo4b2o19b2o
11bo9b2o25b2o12b3obob2o13b3o12b2o11b2o9b4o22b2o48b2o14bobo31b2o11b2o9b
obo5b6o12b2o11b2o7b2o26b2o9b2ob2o5b2o15bo2bo2b2o$7bo5bo2bo10bo10b3o6b
3o27bo15bobo14bo3b2o11bo22b2ob2o7bo14bo49bo12b2o3bo16bo14bo23b2o12bo11b
o49bo14b2o33bo18bobo10b2o2b2o12bo49bo11bo8b2o14bobo4bo2bo$6bobo5b2o8b
3o47b3o33bo13b3o34bo12b3o47b3o47b3o36bobo8b3o47b3o47b3o47b3o47b3o38bo
5bobobo$7bo16bo49bo36bobo10bo36bobo10bo49bo49bo39b2o8bo49bo49bo39bo9b
o49bo43b2obo2bo$48bo3b2o44bo3b2o8bo35bo3b2o8bo35bo3b2o44bo3b2o44bo3b2o
44bo3b2o45b2ob2o44bo3b2o7b3o34bo3b2o44bo3b2o14bo2bo$47bobo3bo43bobo3b
o43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo43bobo3bo7b3o33b
obo3bo43bobo3bo11bo4bo$46bobo3bo12b2o29bobo3bo12b2o29bobo3bo12b2o29bo
bo3bo12b2o29bobo3bo12b2o29bobo3bo43bobo3bo12b2o29bobo3bo12b2o29bobo3b
o12b2o29bobo3bo12b2o29bobo3bo12b5o$46bo4bo13bobo28bo4bo13bobo28bo4bo13b
obo28bo4bo13bobo28bo4bo13bobo28bo4bo6b4o34bo4bo13bobo28bo4bo13bobo28b
o4bo13bobo28bo4bo13bobo28bo4bo$45b2o5b3o12bo27b2o5b3o12bo27b2o5b3o12b
o27b2o5b3o12bo27b2o5b3o12bo27b2o6b2obo5bo32b2o5b3o12bo27b2o5b3o12bo27b
2o5b3o12bo27b2o5b3o12bo27b2o5b3o12bo$54bo12b2o35bo12b2o35bo12b2o35bo12b
2o35bo12b2o26bo3bo3bobo2bo3b2obo38bo12b2o35bo12b2o35bo12b2o35bo12b2o35b
o11bobo$296b4ob3obo2bo5bo252bo$300bo2b6o3b2ob2o$296b2ob2o2bo3bo2b2o4b
3o$297bobo7b5o3bo3bo$296bo3b3obo7bo3b3o$297b3o2b3o4b5o4bobo7bo$300bob
o2b2obob3o6b2o8b2o$299bo2b3o2b2o5bo13b2o$300b2o3bo3bo3bob2o$302bobob2o
b5o$302bobo2bo3b2o2b2o$303bobo2b3o2bo3bo$304bo5b2o4b2o$312b2obo2b2o$309b
o6bobo$308bo2bob2o3bo$308bobobobob2o$306b2o4bo2bo$305bo2b4ob2o2b3o$305b
2o5bo2b2o2bo23bo$310bo3bo2bo26bo$310b2o3b2o25b3o!

Is there a way to release more gliders that can be then fed back into the conduit to reduce the gun in either B3/S238 or B38/S238?

Note that reducing it in HoneyLife may prove more difficult due to the fact that bouncers break down due to B8, some g-block reactions release R-pentominos instead of Pi-heptominos, and one B-hept synthesis leads to a century instead.

[b-engine]

Is there any range-2 HROT weighted neighborhood rule which patterns made of 2x2 blocks could escape their bounding diamond, and singular cells would show up a completely different behavior (i.e. no trivial equivalents of Moore neighbourhood)?

Example:

Code: Select all

x = 24, y = 8, rule = /
2o$2o11bo4b4o$2b2o9b2o3b4o$2b2o6b6o4b4o$2b4o7b2o5b4o$2b4o7bo8b2o$6b2o
14b2o$6b2o!

[unname4798]

Is there any range-2 HROT weighted neighborhood rule which patterns made of 2x2 blocks could escape their bounding diamond?

Example:

Code: Select all

x = 24, y = 8, rule = /
2o$2o11bo4b4o$2b2o9b2o3b4o$2b2o6b6o4b4o$2b4o7b2o5b4o$2b4o7bo8b2o$6b2o
14b2o$6b2o!

The example is not escaping the bounding diamond.
Solution:

Code: Select all

#R R2,C2,S2-3,B3,NW1010100000100010000010101
4o$4o$2b4o$2b4o$2b2o$2b2o!

[b-engine]

The example is not escaping the bounding diamond.
Solution:

Code: Select all

#R R2,C2,S2-3,B3,NW1010100000100010000010101
4o$4o$2b4o$2b4o$2b2o$2b2o!

The example do escape the bounding diamond.
This "solution" is not what I intended. Extra constraint: if a single cell is modified, a totally different behavior would show up.

-

Trying to make my own solution:

Code: Select all

#R R2,C2,S,B,NW01000100010009090900010900090100090909000100010001
4o$4o$2b4o$2b4o$2b2o$2b2o!

[Sokwe]

The current p57 gun in B3(8)/S238 exists in this massive quetzal form, which is almost certainly not the smallest gun that could exist....

Is there a way to release more gliders that can be then fed back into the conduit to reduce the gun in either B3/S238 or B38/S238?

Luka Okanishi's much smaller open-track p57 Quetzal works in B3(8)/S23(8).

[confocaloid]

Is there any range-2 HROT weighted neighborhood rule which patterns made of 2x2 blocks could escape their bounding diamond? [...]

HROT (higher-range outer-totalistic) implies that the "weighted neighbourhood" will be trivial (all weights will be equal to each other). This means you can simply use outer-totalistic rules with a custom neighbourhood. Here is an example CA in which patterns made of 2-by-2 blocks can escape their bounding diamond (but don't have to):

Code: Select all

x = 6, y = 6, rule = R2,C0,S2-3,B3,N@A82415
2b2o$2b2o$2b4o$2b4o$4o$4o!
#C [[ GRID ]]

Since it seems that the intended meaning was different, you would likely need to reword your question, to clarify what is the idea.

[WhiteHawk]

Luka Okanishi's much smaller open-track p57 Quetzal works in B3(8)/S23(8).

That p56 gun would be good for honeylife... if only those bouncers could be replaced. Is there any p8 bouncer replacement (not necessarily a p8 one) that works?

[muzik]

Can this period-200 oscillator be turned into a period-100 oscillator without B0 which only visits every second phase using a custom neighbourhood with a higher range than 2?

Code: Select all

x = 27, y = 27, rule = R2,C0,S0-5,10,B0,2-3,6-7,NH
10bo3$o7$23bo6$3bo7$26bo3$16bo!

[confocaloid]

Can this period-200 oscillator be turned into a period-100 oscillator without B0 which only visits every second phase using a custom neighbourhood with a higher range than 2?

Code: Select all

x = 27, y = 27, rule = R2,C0,S0-5,10,B0,2-3,6-7,NH
10bo3$o7$23bo6$3bo7$26bo3$16bo!

Custom neighbourhood implies the ruleset will be outer-totalistic (only the current state of a cell and the total number of alive neighbours can make difference), but the neighbourhood might have some weird shape, it might be disconnected, it might contain holes.

Here is (roughly) how one could compute the answer to the question, for any chosen set of restrictions on what the custom neighbourhood can possibly be.
(Does the custom neighbourhood have to be fully-symmetric? What is the highest allowed range? What is the highest allowed number of neighbours?)

• Evolve the given pattern two ticks at a time, and scan the rules it might possibly need, represented in the form of ordered pairs

  Code: Select all

  (the current condition of a cell; the future state of the cell)

  where the current condition of a cell tells the cell's current state and also tells the current state of every cell that might possibly be a neighbour of the cell. ("Might possibly be", because it is not yet decided what is the neighbourhood, but there will be already some limitations.)
  Refer to the ruleset (obtained by scanning the rules in the above form) as "ruleset 0".
• Suppose that the p100 oscillator of interest can be found in a CA that is implementable through a fully-symmetric custom neighbourhood.
  For every pair of integer numbers a, b, let X(a,b) = 1 if the cell (a;b) is a neighbour of the origin (0;0), and otherwise let X(a,b) = 0.
• For a given choice of the custom neighbourhood X(a,b), every rule in the "ruleset 0" will naturally collapse into the form

  Code: Select all

  (current state of a cell; the number of alive neighbours; the future state of the cell)

  and there may be contradictions when there are two rules with the same condition (current state of a cell; the number of alive neighbours) prescribing different values for the future state of the cell.
  
  Refer to the resulting "collapsed" ruleset as "ruleset 1". It will be different for different choices of the neighbourhood X(a,b). It may include contradictory rules.
• Try every subset N of the set of "maybe-neighbours, up to rotations and reflections":

  Code: Select all

  { (1;0),
    (2;0), (1;1),
    (3;0), (2;1),
    (4;0), (3;1), (2;2),
    (5;0), (4;1), (3;2),
    (6;0), (5;1), (4;2), (3;3),
    {7;0}, {6;1}, {5;2}, {4;3} }
  

  For every choice of the subset N, attempt to compute the resulting outer-totalistic ruleset ("ruleset 1"), while assuming that X(a,b) = 1 (i.e. the cell (a;b) is a neighbour of the origin (0;0)) if and only if one of rotations/reflections of (a;b) around the origin is an element of the subset N.
  If "ruleset 1" has contradictions, proceed to another choice of the subset N.
• If some choice of the subset N leads to a "ruleset 1" without any contradictions, then that means "ruleset 1" defines a subspace of cellular automata in the CA family determined by the subset N, and the p100 oscillator of interest should work in every CA in that subspace. It remains to convert the available data into a Golly-compatible CA definition.

[PiSpaceships]

Are there some search programs with simple setup? I tried to apgsearch but its setup is too complex for me.

Edit: Online or Windows 10