Miscellaneous Discoveries in Other Cellular Automata

[confocaloid]

[...] Entire threads are dedicated to "one transition away" from Life, "two transitions away", etc. [...]

In the context of those forum threads specifically, the local jargon "transition" appears to refer to the idea or activity of changing the rules of Conway's Game of Life (B3/S23) by changing what happens for one or two particular fully-specified "two-state isotropic, range-1 Moore neighbourhood" conditions; in other words, replacing matching rules for those 1 or 2 conditions by different rules with the same "condition" parts.

In the context of those forum threads, "4z" cannot be interpreted as a "transition" in the sense in which that piece of local jargon is apparently used there.
Further, as far as I can tell, your previous forum post cannot be interpreted in the same way.

These observations suggest to me that the reference to those two forum threads is irrelevant to the issue at hand.

[...] I have fully described the behavior of this non-isotropic rule modification.

Not really; you didn't describe or explain what you did above, because you didn't clearly define the jargon used and didn't link to any place clearly explaining it.

[Supersuthiastic]

OMG

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x = 28, y = 8, rule = R2,C0,S2-3,B3,N@22A544
3bobo16bobo$6bo14bo$7bo12bo$6bo14bo$5bo16bo$4bo18bo$3bo20bo$obo22bobo!

Code: Select all

x = 8, y = 8, rule = R2,C2,S2-3,B3,N@22a544
obo2bobo$bob2obo$o6bo$bob2obo$ob4obo$b6o$b6o$2b4o!

[get_Snacked]

OMG

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x = 28, y = 8, rule = R2,C0,S2-3,B3,N@22A544
3bobo16bobo$6bo14bo$7bo12bo$6bo14bo$5bo16bo$4bo18bo$3bo20bo$obo22bobo!

Code: Select all

x = 8, y = 8, rule = R2,C2,S2-3,B3,N@22a544
obo2bobo$bob2obo$o6bo$bob2obo$ob4obo$b6o$b6o$2b4o!

this is just two spaceships passing through each other because they are on different checkerboards.

[CARuler]

A crodship in a rule I made

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x = 19, y = 43, rule = R3,C2,S12-23,B18-23,NW0001000010001000666001060601006660001000100001000
4bo9bo$3b3o7b3o$2bo2b2o5b2o2bo$2b2ob2o5b2ob2o$b6o5b6o$2b2ob2o5b2ob2o$
3bo11bo$3bo11bo$4bobo5bobo$5bo7bo2$2bo13bo$bobo11bobo$o2b2o9b2o2bo$b2o
3bo5bo3b2o$7bo3bo$6bo5bo5$6b3ob3o$6bo5bo$7bo3bo$6bo5bo9$7b2ob2o$6bo5b
o$7b2ob2o4$6b2o3b2o$5b2obobob2o$8bobo$8bobo!

[CARuler]

Here is a 3-state INT rule where spaceships can travel arbitrarily close to, but not exactly at the speed of light.

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x = 106, y = 22, rule = NotExactlyC
21.2A6.AB4.AB.AB4.AB.AB.AB4.AB.AB.AB.AB4.AB.AB.AB.AB.AB4.AB.AB.AB.AB.
AB.AB$7.A.A5.A$B2A18.2B6.2B4.2B.2B4.2B.2B.2B4.2B.2B.2B.2B4.2B.2B.2B.2B
.2B4.2B.2B.2B.2B.2B.2B$A.A$2A3$7.2B5.2A$7.2B5$14.A$6.3A4.A.A7$6.A2.A!
@RULE NotExactlyC
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2}
var a2 = a1
var a3 = a2
var a4 = a3
var a5 = a4
var a6 = a5
var a7 = a6
var a8 = a7
var a9 = a8
# infinite photon
0 1,2,0,0,0,0,0,0 1
0 2,1,0,0,0,0,0,0 2
# break photonic frontend
0 0,1,0,1,0,0,0,0 1
# burning
0 0,1,0,0,0,0,0,0 2
# backend
0 2,2,0,2,1,0,0,0 2
0 2,2,0,1,2,0,0,0 2
0 1,0,0,0,0,0,0,0 2
2 2,0,1,0,0,0,0,0 2
0 2,2,1,2,0,2,2,0 1
2 0,1,0,0,0,0,0,0 1
0 2,2,1,0,2,0,0,0 2
1 2,2,0,0,2,0,0,0 1
2 1,1,0,0,0,0,0,0 2
1 2,0,1,2,0,0,0,0 2
0 1,0,0,1,0,0,0,0 2
0 1,0,0,2,0,1,0,0 1
2 1,0,2,1,0,0,0,0 2
0 0,2,2,1,2,2,1,2 1
0 2,2,1,2,0,0,0,0 1
0 1,2,1,2,0,2,2,0 2
2 1,0,2,1,0,2,1,0 1
1 1,2,1,0,2,0,0,0 2
#misic
1 0,0,0,0,0,0,0,0 1
1 2,2,2,2,2,2,2,2 1
1 2,1,0,1,2,0,0,0 1
1 1,0,0,0,0,0,0,0 1
0 2,2,1,1,0,0,0,0 1
2 2,0,1,0,1,0,0,0 2
0 0,1,2,0,1,1,0,0 2
0 2,2,0,2,2,0,0,0 1
2 2,2,2,0,0,0,0,0 2
0 1,2,0,2,0,2,0,0 1
0 0,2,2,2,1,2,0,0 2
1 2,2,0,2,0,2,2,0 2
0 0,1,1,1,0,0,0,0 1
0 2,2,1,0,1,0,0,0 2
1 0,1,0,1,0,0,0,0 2
0 0,2,2,2,0,2,2,2 1
0 2,2,2,0,2,2,0,0 1
0 2,0,0,2,1,2,0,0 1
# c/2
2 2,1,1,2,0,0,0,0 2
0 2,2,0,1,1,0,0,0 2
0 1,1,0,2,2,2,0,0 2
# c/2d
0 2,1,2,0,0,0,0,0 2
2 1,2,0,0,0,0,0,0 1
0 2,1,0,2,0,0,0,0 1
2 1,0,1,0,0,0,0,0 1
1 1,0,1,0,0,0,0,0 2
0 1,2,0,0,2,0,0,0 1
2 1,2,2,2,2,2,2,2 2
1 2,2,1,2,2,0,0,0 1
2 1,1,2,2,2,1,0,0 1
# zebra agar
0 0,1,1,1,0,1,1,1 2
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

Puffer

Code: Select all

x = 56, y = 90, rule = NotExactlyC
44$16.BA3.AB$15.B7.B$17.A3.A$15.B7.B$16.BA3.AB4$16.BA3.AB$15.B7.B$17.
A3.A$15.B7.B$16.BA3.AB2$15.BAB3.BAB$15.3B3.3B5$14.3B5.3B$14.BAB5.BAB4.
AB$14.3B5.3B$29.2B$29.BAB4$14.3B5.3B$14.BAB5.BAB$14.3B5.3B6$14.3B5.3B
$14.BAB5.BAB$14.3B5.3B6$14.3B5.3B$14.BAB5.BAB!

[Nikro]

Been studying some stuff in the genre of "life with a few extra transitions" rules and came across this interesting little rule that, in ~1.5 million soups across my four typical go-to symmetries (C4_1, C4_4, D8_1, D8_4), has produced four ships (including the glider), all with different slopes:

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x = 8, y = 35, rule = B35k/S234w5a
3bo$2b3o$b5o$obobobo$bo3bo4$3o$o$bo4$5b3o$bobo3bo$o2bo3bo$o2bo$b2o13$
b2o3b2o$o2bob3o$bobo2b2o$b3o!

Some interesting higher-period oscillators as well; p22, p46, and p342:

Code: Select all

x = 94, y = 27, rule = B35k/S234w5a
8b2o7b2o$8b2o7b2o5$8bo9bo33b2o$8b2o7b2o32bobo$2o4b2obo7bob2o4b2o24b3o
$2o5b2o9b2o5b2o2$81b3o7b3o$45b3o4bo4b2o22bob2o5b2obo$45bobo3bobo3bobo
24b2o3b2o$46b2o4bo4b3o23bobo3bobo$84bo5bo2$2o5b2o9b2o5b2o$2o4b2obo7bo
b2o4b2o24b3o$8b2o7b2o32bobo$8bo9bo32b2o5$8b2o7b2o$8b2o7b2o!

[confocaloid]

I think your description of the "genre" misses the idea of the "genre", in more than one way.

Take your example (B35k/S234w5a). It is a 2-state isotropic cellular automaton using Moore neighbourhood. This cellular automaton differs from Conway's Life (B3/S23) in that evolving patterns follow these three rules (including one birth rule and two survival rules; the "condition" part on the left should be interpreted as an equivalence class of neighbourhood configurations, up to rotations and reflections),

Code: Select all

#C [[ GRID VIEWONLY ]]
x = 10, y = 13, rule = B35k/S234w5aHistory
2CD.F2.3B$2DC2.F.BCB$CDC.F2.3B3$2CD.F2.3B$D2C2.F.BCB$2DC.F2.3B3$C2D.F
2.3B$2CD2.F.BCB$3C.F2.3B!

- while Conway's Life instead makes evolving patterns follow these three rules (including one nonbirth rule and two death rules; again, the "condition" part on the left should be interpreted as an equivalence class of neighbourhood configurations, up to rotations and reflections):

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#C [[ GRID VIEWONLY ]]
x = 10, y = 13, rule = LifeHistory
2CD.F2.3B$2DC2.F.BDB$CDC.F2.3B3$2CD.F2.3B$D2C2.F.BDB$2DC.F2.3B3$C2D.F
2.3B$2CD2.F.BDB$3C.F2.3B!

Describing this difference as "a few extra transitions" misses the point, because it is not a choice of specific transitions. It is impossible to control specific transitions in chosen "spacetime points", without consequences everywhere else whenever an equivalent neighbourhood configuration appears. Instead, it is a choice of specific rules, and after that, the chosen rules and the initial configuration taken together completely determine all transitions that will happen in the universe.

Describing the difference between B35k/S234w5a and B3/S23 as "a few extra rules" would also miss the point, because it isn't a matter of adding rules. Instead, the change amounts to replacing several rules by different rules matching the same cell conditions. For a given way of counting "indivisible" rules in the ruleset, the total number of rules followed remains the same before and after the tweak.

On top of that, because some people choose to interpret "transition" as meaning more specifically "state-changing transition", your description of an act causing more survivals and fewer deaths as "adding a few extra transitions" can come across as complete gibberish. In that interpretation, choosing the survival rule S4w over the death rule D4w has the effect of preventing some of (state-changing) transitions under some circumstances, as evidenced by this example pattern:

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x = 6, y = 5, rule = B35k/S234w5a
4b2o$b2o2bo$2b2o$o2b2o$2o!

Been studying some stuff in the genre of "life with a few extra transitions" rules [...]

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x = 8, y = 35, rule = B35k/S234w5a

[islptng]

New rule!

11x11 (B2ce3-aijn4aiknt5acy6cik78/S01c2ei3ajny4-cejyz5einr6-a78)

Look at the name of this rule, you can easily figure out obo! becomes a 11x11 square:

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x = 1, y = 3, rule = B2ce3-aijn4aiknt5acy6cik78/S01c2ei3ajny4-cejyz5einr6-a78
obo!

It takes 21 generations.

(Left) relatively small c/2o, 2c/5o, c/3o, c/4o, c/5o; (Up) c/3d, c/4d, a long c/5d:

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x = 128, y = 96, rule = B2ce3-aijn4aiknt5acy6cik78/S01c2ei3ajny4-cejyz5einr6-a78
11bo14bo13bo$8b4ob2o10b2o10b3o$7bo5bob2o7bo9b3ob4o$8bob2o2bo10bo8b3ob
4o$9bo6bo17b5o3bo$5bobo25bo2b5o$6b2o6bo18b5ob2o$2bo2b2o2bo3bobo17b3ob
3o2bobobo$bobo5bobobo18bob2ob2obo6bo$bo2bo2b3o24b2o5b2o3b3o$bobo7b2obo
21bo2bobo5b2obo$2obo4bob2ob2o4bo25bo3b2o$10bo2bobo2bobob2o15bo8b2o$b2o
4b2o2b2obobo2b3obo19bo3b4o$bobo2bo3b2ob2obobo2bobo15bobo5b3o2bo$2bo4bo
4bo4b3o3b2o15b3o2b2ob3obo$2bobo8b2ob3obo2b2o16b2ob7o2b2o$15b5obobo3bo
15b8o3bo$12bob5obo2bob3o14b2obob7o$11bobobobo2b3o27b5o$12b2o2bob2ob2o
23b2o2b4o2bo$13b2o2bob3o26bob7ob2o$12bo6b2o27b2obob3o2bobobo$12b7o34b
2o3b2ob2o$15b2o35b2o3bob2o$18bo37bobo3b2o$18bo34b3obob2o$17b2o34bob2ob
obobo$54bobob2o4bo$o54bo9bo$2bo51b2obobo2bob2o$o56bo7bo$60bobob2o$61b
5ob3o$71b2o$65bo2bobobo$65bob2ob2obo$11bo53bo3b2ob3o$4b6o57b3ob4o$4b8o
54bobobob4obo$2b6o58b2ob4obo2bo$bo2b4o60b4o3b3ob2o$o2b6o60b4o2b5obo$bo
2b4o63bob5ob3o$2b6o65b6o2bo$4b8o59b7ob3o$4b6o64bobob3obo$11bo61b3ob2o$
73bobob2o2b2o2bo$74b4o2b3o3b3o$78bob3ob2o2bobo$84bobo$82b2obo5bo$5bo7b
3o2b3o59bobob2obo$4b2obo3b3o4bo62bobo2bo4bo$2b4obo2bobo2b4o62bo3bo3b2o
b3o$3b5ob3ob3o2b4o59b2o5b2o2bob2o$ob8ob3obobobobo65b2obo2b2o$3b5ob3ob
3o2b4o60bo4bobo4bobo$2b4obo2bobo2b4o65bobo7bobo$4b2obo3b3o4bo68b2o4b5o
$5bo7b3o2b3o66bobo2bob3ob2o$87b12o$88bo3b4o3b4o$90b5obob2o$92bobo2bob
3o$93b2obob2o$93bob5ob2o$95bobo5b2ob2o$18bo76bobobobob4obo$16bo78bo3bo
4bo3bo$2bo9b2o86b2o4b2o$bob2o3bo2b7o82b3ob2obobo$3obobobobo3b2ob2o82bo
2bo5bo$bob2o3bo2b7o82b2obo3bo2b2o$2bo9b2o86bo2b2obo3b2o$16bo84b2o5b4ob
2o$18bo85bo3b3o3b2o$105b6obobo$106b3o2b2obob2o$110b3o5b2o$108bo4bo2b2o
bo$108b4o5b3obo$109bo6bob3obo$111bobob4obo$19bo2bo88bob2ob2o3bobo$18b
6o88bob3o4b4o$2bo3bo6b2ob3o4bo88b4o5b2obo$bo3b2o2b2o2b3o2bobobo92b2o6b
3obo$3o4b3ob8o3bo91bo2b3o6bo$bo3b2o2b2o2b3o2bobobo92bo2b2o6bo$2bo3bo6b
2ob3o4bo93b2obo$18b6o94b3o$19bo2bo97bo$121b2o$120bo!

Please apgsearch this rule.

[hibiscus]

13x13 (B2-a3-eiqr4iq5-jq6-ei8/S012-i3acr4acjntwz5eikqy6-k78):

Code: Select all

x = 3, y = 1, rule = B2-a3-eiqr4iq5-jq6-ei8/S012-i3acr4acjntwz5eikqy6-k78
obo!

Unfortunately, it is explosive.

Edit: this may be tamable; I have not tried anything yet.

Code: Select all

x = 46, y = 16, rule = B2ce3aj4ace5iy78/S01c2aen3aijk4aey5-kq6-en78
obo27bobo3b4ob2o$30b2obobo3bo4b2o$30bobo2bo2bo2bo$31b6o2b2obobo$30bobo
bobob3ob2o$31b2obo2bobo3b3o$30bob6obo$30b3o3bobo2b3o$30b2obo3bob2o2b2o
$30b4o2b3o6bo$31bo2b2o3b2o2b2o$30bo3b4obobobo$30bobo3bo2b3o2b2o$30bo3b
2ob2o3bobo$30bo3b2ob2o5b2o$30bo2b2obo2bo2b2obo!

Edit 2: p17 in the variant of the rule with S2k added:

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x = 11, y = 11, rule = B2ce3aj4ace5iy78/S01c2-ci3aijk4aey5-kq6-en78
7b2o$bo5b2o$3bo$2b2o2bo2b2o$5bo3b2o$4b2o3b2o$3bo5b2o$2o$2o6bo$3b4o$3b
4o!

[LaundryPizza03]

Various p13 gun caps in a rule spgsearched by stilllifeoroscillatorbeacoon:

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x = 119, y = 98, rule = B2cei3ay4eijkryz5-aeij6in8/S01c2ci3cknry4cknqtyz5aejkn6ei
85bo3$85bo$84b3o$84bobo3$82bo2bo2bo$47bo2$43b2o8bo$39bo2b2o3bo3bo33bo$
43b2o8bo5bo$84bobo$47bo47bo2$89bo8b2o$72bo18bo3bo3b2o2bo$89bo8b2o$68b
2o8bo$64bo2b2o3bo3bo18bo$68b2o8bo2$72bo$81bobo2$47bo34bo2$43b2o8bo$39b
o2b2o3bo3bo6bo$43b2o8bo25bo2bo2bo2$47bo$81bobo$81b3o$82bo3$82bo4$21bo
3$21bo$20b3o$20bobo3$18bo2bo2bo80bo$117bo$101b2o8bo$97bo2b2o3bo3bo$21b
o79b2o8bo2$20bobo82bo$31bo82bobo2$8bo16bo8b2o79bo$27bo3bo3b2o2bo$4b2o
8bo10bo8b2o$o2b2o3bo3bo$4b2o8bo16bo80bo2bo2bo$71bo$8bo$17bobo47b2o8bo
36bobo$63bo2b2o3bo3bo38b3o$18bo48b2o8bo37bo2$71bo$115bo$15bo2bo2bo62bo
2$57bobo$17bobo64bo$17b3o38bo24b3o$18bo64bobo3$18bo36bo2bo2bo19bo2bo2b
o3$57bobo$57b3o24bo$58bo$83bobo2$58bo2$71bo2$65bo8b2o$67bo3bo3b2o2bo$
65bo8b2o2$71bo!

[splitterrules]

This rule has a splitter which works in 2^47 rules. Orthogonoid? Base rule:

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x = 30, y = 47, rule = B2cei3ay8/S01c2i4t6i
2$13bo11$8bo9bo$13bo$8bo9bo13$8bo4bo4bo13$13bo!

[confocaloid]

[...] Edit: this may be tamable; I have not tried anything yet. [...]

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x = 46, y = 16, rule = B2ce3aj4ace5iy78/S01c2aen3aijk4aey5-kq6-en78

The sequence can be found in the space covered by fully-symmetric range-3 weighted neighbourhoods in Golly/LifeViewer:

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x = 42, y = 21, rule = R3,C0,S10-12,30-38,50-56,75,125,135-141,155-162,176-182,260-266,276,280-288,300-301,305-307,325-326,385-392,405-413,425-433,450-452,510-517,530-538,550-558,575-578,635-642,655-663,675-683,700-702,760-768,780-788,800-808,825-828,885-893,905-913,925-926,928-934,950-952,962,1010-1018,1030-1039,1050-1059,1061,1075-1078,1086,1135-1143,1155-1164,1175-1176,1178-1184,1200-1203,1212,1260-1269,1280-1289,1300-1309,1311,1316,1325-1328,1336,1385-1393,1405-1414,1425-1434,1436-1437,1441,1450-1454,1457,1468,1510-1519,1530-1539,1546,1550-1559,1562,1567,1575-1579,1586,1592,1596,1621,1635-1644,1655-1664,1675-1684,1686-1687,1692,1697,1700-1703,1717,1760-1769,1780-1789,1800-1809,1817,1822,1825-1829,1836-1837,1841-1842,1847-1848,1862,1885-1894,1905-1914,1925-1934,1942,1950-1954,1966-1967,1973,1990,1992,1997,2010-2019,2030-2039,2050-2059,2073,2075-2079,2097,2107,2122-2124,2135-2144,2155-2164,2175-2184,2200-2204,2222,2239,2242,2247,2260-2269,2280-2289,2301-2309,2326-2329,2342,2348-2349,2367-2368,2372-2373,2385-2394,2405-2414,2426-2434,2449-2454,2497-2499,2512-2518,2530-2539,2551-2559,2576-2579,2623-2624,2637-2639,2655-2664,2676-2684,2703-2704,2748,2763-2766,2782-2789,2802-2809,2828-2829,2868-2888,2907-2914,2927-2934,2998-3014,3033-3038,3099-3119,3123-3124,3249,3349,3374-3624,B2,20-22,26-30,32-40,42-50,57,161,180,189,214,260,285-286,302-307,341,347,360,378,411-425,430,510,536-546,548-555,600,660-661,681,707,709,774,785-789,791-817,891,910-911,941,1036-1090,1092-1124,1161-1177,1180,1196,1285-1286,1306,1312,1339,1411,1429,1436-1442,1460,1508,1521,1542,1580,1586,1687,1727,1740-1760,1762-1781,1783-1843,1845-1854,1856-1901,1904-1967,1969-1986,1988-2058,2060-2097,2099-2238,2240-2260,2262-2340,2342-2469,2471-2478,2480-2562,2564-2568,2570-2688,2690-2691,2693-2737,2739-2758,2760-2798,2800-2846,2848-2873,2900,2969,2996,3009,3094,3184,3188,3234,3274,3296,3427,3440,3488,3497,3553-3554,NW007D7D007D7D007D017D7D7D017D7D7D1905197D7D007D0500057D007D7D1905197D7D7D017D7D7D017D007D7D007D7D00
2o18bobo14bo2bo$b2o38bo$bo35bo3bo$38b4o15$20bo$21bo$19b3o!

Code: Select all

x = 39, y = 24, rule = R3,C0,S0-6,11,55-56,62,74,76,97,109,155-178,180,239,258,280-305,336,405-430,458,497,536-556,590,592,628,655-692,698,747,782-822,850,862,926-941,983,999,1006,1027,1032-1038,1040-1055,1057-1065,1067-1069,1071-1086,1088-1124,1142,1146,1162-1237,1241-1259,1261-1273,1275-1342,1382,1399,1437-1442,1462-1497,1554,1562-1622,1672-1713,1715-1724,1726-1729,1731-1745,1747-1748,1807,1837-1881,1883-1889,1962-1972,1977,1993-1999,2041,2074-2181,2183-2187,2200,2213-2216,2218-2223,2243-2249,2326,2338,2343-2424,2438,2468-2483,2485-2560,2562-2564,2573,2592-2594,2596-2602,2604-2605,2607-2658,2660-2684,2699,2718-2724,2743-2759,2799,2821,2823,2843-2849,2851-2861,2863-2874,2878,2896,2948,2961,2967-2999,3024,3039-3044,3063,3074,3118-3124,B10,12,15-20,36-39,55-59,75-79,100,140-144,160-164,180-184,200-204,265-269,285-289,300,305-309,326,328-329,337,387,390-394,410-414,430-434,450-454,515-519,535-539,555-559,575-579,640-644,660-664,675,680-684,701-704,765-769,785-789,805-809,825-829,887,890-894,910,912-914,930-934,950-954,1015-1019,1035-1036,1038-1039,1055-1059,1061-1062,1075-1079,1137,1140-1144,1160-1161,1163-1164,1180-1184,1186-1187,1200-1204,1212,1220,1222,1227,1265-1269,1285-1286,1288-1289,1305-1309,1312,1325-1329,1390-1394,1410-1411,1413-1414,1430-1434,1450-1454,1496,1515-1519,1535-1539,1555-1559,1575-1579,1624,1640-1644,1660-1664,1680-1684,1700-1704,1741,1747,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,1998,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2248,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,2640-2644,2660-2664,2680-2684,2700-2704,2765-2769,2785-2789,2805-2809,2825-2829,2890-2894,2910-2914,2930-2934,2950-2954,3015-3019,3035-3039,3055-3059,3075-3079,NW7D7D007D007D7D7D017D007D017D007D0519057D007D00190019007D007D0519057D007D017D007D017D7D7D007D007D7D
obo14bo2bo$21bo15bo$17bo3bo16bo$18b4o14b3o14$19bo$b2o$b3o$2b3o$3b2o15b
o$19bobo$20bo!

Can be made to work with fully-symmetric range-2 weighted neighbourhoods as well, and the results look interesting:

Code: Select all

x = 43, y = 41, rule = R2,C0,S0-6,11,31-55,155-192,280-316,407-468,537-612,616-622,716-856,868-999,1097-1124,B10-20,35-36,56,100,160-161,180-181,262,300-306,311,337-347,431-437,587-602,621-1124,NW017D007D017D0519057D00190019007D0519057D017D007D01
2bo8b2o$2o8bo21bo$2b2o9bo19bo$bo9b2o8b3o7b3o13$2bobo20$25bobo4$40bobo!

edit: more variants:

Code: Select all

x = 20, y = 36, rule = R2,C0,S0,6,11,30-31,35-36,50-51,55-56,75-77,135,137,155-157,160-162,175-177,180-182,192,200,260-261,266-267,280-283,285-288,300-302,305-308,316,326,385,387,390-393,405-408,410-413,417,425-427,430-433,436-437,442,452,461,468,510-511,530-538,550-551,555-558,561-562,566-567,572,586-587,591-592,595,612,616,618,621-622,635-638,642-643,655-659,661,663,675-678,681-683,701,716-717,723,738,742-743,747,761-762,780-782,787,797,807-808,824,837,842,847,856,868-869,872-874,891,906,914,973,998-999,1032,1097,1099,1104,1114,1119-1120,1122-1124,B10,20,35-37,55-57,75,100,141-142,160-164,180-183,200-201,262,265-266,268,285-286,288,300,305-308,311,326-327,337,347,392,410,413-414,430-434,436-437,451-452,516-517,535-536,538,555-559,576-578,587,595,602,621,643-644,661-662,680-684,700,767,785-788,807-808,866,872-873,911-913,1123-1124,NW017D007D017D0519057D00190019007D0519057D017D007D01
bo$2bo$3o33$17bobo!

Code: Select all

x = 72, y = 24, rule = R2,C0,S0,6,11,30-31,35-36,50-51,55-56,75-77,135,137,155-157,160-162,175-177,180-182,192,200,260-261,266-267,280-283,285-288,300-302,305-308,316,326,385,387,390-393,405-408,410-413,417,425-428,430-433,436-437,442,452,461,468,510-511,530-538,550-552,555-558,561-562,566-567,572,586-587,591-592,595,612,616,618,621-622,635-638,642-643,655-661,663,675-678,681-683,701,716-717,723,738,742-743,747,761-762,780-782,787,797,807-808,824,837,842,847,856,868-869,872-874,891,906,914,973,998-999,1032,1097,1099,1104,1114,1119-1120,1122-1124,B10,20,35-37,55-57,75,100,141-142,160-164,180-183,200-201,262,265-266,268,285-286,288,300,305-308,311,326-327,337,347,392,410,413-414,430-434,436-437,451-452,516-517,535-536,538,555-559,576-578,587,595,602,621,643-644,661-662,680-684,700,767,785-788,807-808,866,872-873,911-913,1123-1124,NW017D007D017D0519057D00190019007D0519057D017D007D01
52bo$53bo$51b3o17$bo$bo$3o2$29bobo37bobo!

Code: Select all

x = 84, y = 28, rule = R2,C0,S0,6,11,30-31,35-36,50-51,55-56,75-77,135,137,155-157,160-162,175-177,180-182,192,200,260-261,266-267,280-283,285-288,300-302,305-308,316,326,385,387,390-393,405-408,410-413,417,425-427,430-433,436-437,442,452,461,468,510-511,530-538,550-551,555-558,561-562,566-567,572,586-587,591-592,595,612,616,618-622,635-638,642-643,655-659,661,663,675-677,681-683,701,716-717,723,738,742-743,747,761-762,780-782,787,797,807-808,824,837,842,847,856,868-869,872-874,906,973,998-999,1097-1124,B10,20,35-37,55-57,75,100,141-142,160-164,180-183,200-201,262,265-266,268,285-286,288,300,305-308,311,326-327,337,347,392,410,413-414,430-434,436-437,451-452,516-517,535-536,538,555-559,576-578,587,595,602,621,643-644,661-662,680-684,700,767,785-788,807-808,866,872-873,911-913,1123-1124,NW017D007D017D0519057D00190019007D0519057D017D007D01
71b2o2b2o$71b2o2b2o5$bo$bo$3o26bobo49bobo5$73bo$72bobo$72bobo$73bo9$
30bo$31bo$29b3o!

[b-engine]

I don't know how many types of agars are there in this randomly generated rule:

Code: Select all

x = 48, y = 2, rule = R1,C2,S0,3-5,7-8,10-12,14-23,B1-8,10-13,16,18-20,22-23,NW151505151
2o$2o44b2o!

I cannot determine the Hensel notation rulestring of this rule.

[confocaloid]

R1,C2,S0,3-5,7-8,10-12,14-23,B1-8,10-13,16,18-20,22-23,NW151505151

The rulestring in Hensel notation can be derived via "paper-and-pencil brute-force", by listing every birth condition and every survival condition.

• The weighted neighbourhood is as follows (NW151505151):

  Code: Select all

  1 5 1
  5 - 5
  1 5 1
  

• The birth conditions are (B1-8,10-13,16,18-20,22-23). Since in this case most of cell conditions where the middle cell is dead are included in the set of birth conditions, it is easier to consider only those that are not included:
  • B0: the cell is currently dead, it has =0 alive orthogonal neighbours, and it has =0 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { B0 }.
  • B9: the cell is currently dead, it has =1 alive orthogonal neighbour, and it has =4 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { B5e }.
  • B14: the cell is currently dead, it has =2 alive orthogonal neighbours, and it has =4 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { B6e, B6i }.
  • B15: the cell is currently dead, it has =3 alive orthogonal neighbours, and it has =0 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { B3e }.
  • B17: the cell is currently dead, it has =3 alive orthogonal neighbours, and it has =2 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { B5i, B5n, B5q, B5y }.
  • B21: the cell is currently dead, it has =4 alive orthogonal neighbours, and it has =1 alive diagonal neighbour.
    The corresponding set of conditions in Hensel notation is { B5c }.
  • B24: the cell is currently dead, it has =4 alive orthogonal neighbours, and it has =4 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { B8 }.
  Excluding those conditions from the full set (B012345678) gives B123-e45ajkr6-ei7 in Hensel notation.
• The survival conditions are (S0,3-5,7-8,10-12,14-23). Again, since in this case most of cell conditions where the middle cell is alive are included in the set of survival conditions, it is easier to consider only those that are not included:
  • S1: the cell is currently alive, it has =0 alive orthogonal neighbours, and it has =1 alive diagonal neighbour.
    The corresponding set of conditions in Hensel notation is { S1c }.
  • S2: the cell is currently alive, it has =0 alive orthogonal neighbours, and it has =2 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { S2c, S2n }.
  • S6: the cell is currently alive, it has =1 alive orthogonal neighbour, and it has =1 alive diagonal neighbour.
    The corresponding set of conditions in Hensel notation is { S2a, S2k }.
  • S9: the cell is currently alive, it has =1 alive orthogonal neighbour, and it has =4 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { S5e }.
  • S13: the cell is currently alive, it has =2 alive orthogonal neighbours, and it has =3 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { S5a, S5j, S5k, S5r }.
  • S24: the cell is currently alive, it has =4 alive orthogonal neighbours, and it has =4 alive diagonal neighbours.
    The corresponding set of conditions in Hensel notation is { S8 }.
  Excluding those conditions from the full set (S012345678) gives S01e2ei345cinqy67 in Hensel notation.
• The resulting definition is as follows:

  Code: Select all

  x = 48, y = 2, rule = B123-e45ajkr6-ei7/S01e2ei345cinqy67
  2o$2o44b2o!
  

[b-engine]

Chaos boxes forming by chaos trying to expand but eventually trapped by the strip:

Code: Select all

x = 19, y = 3, rule = B2ce3ajn4an/S1e2-cn3enr4ir5ir
bo$2bo$19o!

Explosion would occur if containment breaches.

[CARuler]

I don't know how many types of agars are there in this randomly generated rule:

Probably infinity amounts, try finding some

(I think you may have meant natural agars)

[b-engine]

"Anchor ship":

Code: Select all

x = 2, y = 5, rule = B2cei3a5n/S01e2i4t
bo$o2$o$bo!

The minrule is explosive:

Code: Select all

x = 0, y = 0, rule = B2cei3a5n/S01e2i4t
!
[[ RANDOMIZE ]] 

However this rule isn't:

Code: Select all

x = 0, y = 0, rule = B2cei3a5678/S01e2i4578
!
[[ RANDOMIZE ]]

[confocaloid]

Are you sure? Larger soups "appear to explode" just fine, and here is a smaller example that appears to explode:

Code: Select all

x = 16, y = 16, rule = B2cei3a5678/S01e2i4578
3ob3obob4o$ob4o3bobo2bo$b5o4bo2bobo$o4b3ob3o$o3b2o2b2o3bo$bobobo3bob2o
bo$5bobobob4o$3o2bobob3o$3b2o2bo2b2o$b5o2b2ob4o$o3b4o2bo3b2o$2bob2o5b
2obo$obo7b3obo$bobob5o3b2o$b2obobo4bo3bo$2b5obobo2bobo!

EDIT 3: that p3 orthogonal c/3 spaceship is compatible with the glider:

Code: Select all

x = 23, y = 15, rule = R3,C0,S2-5,7,9,16,26-27,37,127,132,135-140,142-182,250-252,256,262,277,281-282,305,307,387,391,412,450,502,506,517,565,626,631,635,655-656,665,678,711,761,782,788-790,820,886,906,908,940,960,1007,1011-1012,1018,1030,1048,1056,1068,1077,1080,1096,1141,1165,1167,1187,1206,1217,1237-1238,1256,1260-1262,1267,1286,1288-1290,1292,1308-1309,1313,1335,1348,1363,1376,1389,1401,1408,1411,1413-1414,1416,1421,1428,1432,1441,1444,1452,1461,1463,1473,1477,1482-1483,1509,1519,1528-1530,1536-1539,1544,1555,1557,1564,1580,1583,1594,1597-1598,1633-1635,1638,1642,1657,1659,1661,1665,1677,1682,1698,1708-1709,1738,1741,1747,1751,1757,1759,1763,1768-1769,1785,1787,1797,1806,1810,1827,1833,1842,1861,1883,1901,1908,1917,1931,1933-1936,1949,1958,1968,1970,1996,2007,2043,2055,2057,2060,2118,2148,2192,2194,2202,2242,2276-2281,2353,2407-2412,B7,11,21,35,55,57-75,127,137,153,157,177,182,252,257,260-261,263,276,279,283,295,301,322,328,377,383,402,410,430,432,435,451,510,536,550,560-561,580,626-627,630-631,633,645,652,655,657-660,697,775,788,841,885,902,907,910,926,961,1005-1006,1013,1033,1039,1068,1072,1083,1092,1112,1127,1130,1133,1143,1150,1158-1159,1161,1166,1183,1186,1193,1199,1202,1223,1232,1250,1258,1266,1284,1292,1297-1298,1306,1311,1322,1332,1348,1368,1383,1389,1393,1411,1414,1426,1433,1450,1459,1463-1466,1491,1511-1512,1517-1518,1524-1525,1527-1528,1533,1538,1541,1546,1552,1560-1561,1563,1568,1572,1577,1579-1580,1593,1610-1611,1614,1617,1636-1637,1652,1663,1668,1677,1681,1688,1697,1714,1739,1743,1762,1781-1782,1788,1806,1808,1829,1834,1839,1841-1842,1848,1884,1892,1911-1912,1919,1925,1939,1944,1947,1953,1963-1967,1991-2006,2013,2017,2058,2062,2065,2082-2084,2098,2113,2143,2175,2182,2187,2189,2202,2308,2558,NW00007D7D7D000000197D7D7D19007D7D0501057D7D7D7D0100017D7D7D7D0501057D7D00197D7D7D190000007D7D7D0000
21bo$2o9bo8bo$2o8bobo7b3o$11bo8bo$21bo7$10bo10bo$3o8bobo8bo$13bo6b3o$
11b3o!

Code: Select all

x = 34, y = 32, rule = R3,C0,S10-19,30-39,50-56,58-59,75-79,135-144,155-164,175-184,200-204,260-264,266-269,280-289,300-304,306-310,325-329,385-389,391-394,405-414,425-429,431-434,450-454,510-519,530-539,550-559,575-579,630,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,1635-1644,1655-1664,1675-1684,1700-1704,1760-1769,1780-1789,1800-1809,1825-1829,1885-1894,1905-1914,1925-1934,1950-1954,2010-2019,2030-2039,2050-2059,2075-2079,2135-2144,2155-2164,2175-2184,2200-2204,2260-2269,2280-2289,2300-2309,2325-2329,2385-2394,2405-2414,2425-2434,2450-2454,2510-2519,2530-2539,2550-2559,2575-2579,2635-2644,2655-2664,2675-2684,2700-2704,2760-2769,2780-2789,2800-2809,2825-2829,2885-2894,2905-2914,2925-2934,2950-2954,3010-3019,3030-3039,3050-3059,3075-3079,B15-19,35-39,52,55-59,75-79,135,140-144,160-164,180-184,200-204,260,265-269,285-289,300,305-306,308-309,315,325-329,385-386,390-394,411-414,432-434,450-454,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,2640-2644,2660-2664,2680-2684,2700-2704,2765-2769,2785-2789,2805-2809,2825-2829,2890-2894,2910-2914,2930-2934,NW00007D7D7D000000017D7D7D01007D7D1905197D7D7D7D0500057D7D7D7D1905197D7D00017D7D7D010000007D7D7D0000
bobo24b2o$o3bo22b2o$bobo23bo$2bo3$b2o$2bo$o$2o8$22b2o8bo$11b2o10bo7bo$
11b2o8bo9b3o$21b2o8bo$32bo7$21b2o9bo$11b3o7bobo9bo$22bobo6b3o$23b2o!

Code: Select all

x = 81, y = 168, rule = R3,C0,S10-15,30-36,50-56,135-140,155-161,175-181,260-262,266-267,280-287,300-301,306-310,385-387,405-412,425-427,431-432,451,510-516,530-538,550-557,575,630,635-642,655-663,675-682,760-766,780-787,800-807,825,885-892,905-912,925-933,951,1010-1015,1030-1056,1076-1077,1136-1161,1175-1182,1265,1280-1286,1305-1308,1386-1431,1530-1557,1761,B35-36,52-57,75,135,140,160-162,180-182,200,260,285-287,300,305-306,315,385-386,390-392,411-412,432,515-517,535-537,555-557,575,641,660-662,680-683,701,767,785-787,805-808,825-827,910-912,930-933,950,1016,1035-1037,1055-1058,1076,1140,1160-1163,1180-1184,1200,1287,1305-1306,1410-1411,1431-1433,1536,1555-1556,1786-1808,1827,NW00007D7D7D000000017D7D7D01007D7D1905197D7D7D7D0500057D7D7D7D1905197D7D00017D7D7D010000007D7D7D0000
58bo$59bo$57b3o4$75bo$74bo$74b3o12$58bo$59bo$57b3o3$76bo$75bo$75b3o13$
58bo$59bo$57b3o3$77bo$75b2o$76b2o13$58bo$59bo$57b3o2$77bo$76bo$76b3o
14$58bo$59bo$57b3o$78bo$77bo$77b3o15$58bo$59bo$57b3o19bo$78bo$78b3o16$
58bo$59bo$57b3o20bo$78b2o$79b2o2$2bo17b2o$obobo14b2o$b3o15bo12$58bo$
59bo$57b3o$27b2o$16b2o10bo$16b2o8bo50bobo$2bobo21b2o49b2o$bo3bo72bo$2b
obo$3bo3$2b2o$3bo$bo24b2o$b2o13b3o7bobo$27bobo$28b2o3$58bo$59bo$57b3o
3$77bo$77bobo$77b2o!

EDIT 4: that p3 orthogonal c/3 spaceship is also compatible with glider 3736:

Code: Select all

x = 27, y = 25, rule = R3,C0,S17,26-38,40,42-52,143-155,158-168,260-285,377-402,494-519,611-636,728-753,845-870,962-987,1079-1104,1196-1221,1313-1338,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,B26-28,41,43-51,67,156,158-168,273-285,300,302,390-402,418,507-519,539,624-636,741-753,858-870,975-987,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,NW757575017575757500010001007575010D0D0D017501000D000D000175010D0D0D01757500010001007575757501757575
2bo$bobo$o3bo$o3bo19bo$obobo17bobobo$2bo20b3o$bobo15$15bo$11bo$10bo$10b2o!
#C [[ GRID THEME MCell ]]

EDIT 5: and with other spaceships, too:

Code: Select all

x = 38, y = 15, rule = R3,C0,S5,10-19,25,30-34,36-39,50-54,56-60,76-79,135-144,155-159,161-164,175-184,200-204,260-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,510-519,530-539,550-559,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,1635-1644,1655-1664,1675-1684,1700-1704,1760-1769,1780-1789,1800-1809,1825-1829,1885-1894,1905-1914,1925-1934,1950-1954,2010-2019,2030-2039,2050-2059,2075-2079,2135-2144,2155-2164,2175-2184,2200-2204,2260-2269,2280-2289,2300-2309,2325-2329,2385-2394,2405-2414,2425-2434,2450-2454,2510-2519,2530-2539,2550-2559,2575-2579,B10,15-19,37-39,50-51,57-59,75-79,86,140-144,161-164,180-184,200-204,265-269,285-289,305-309,325-329,335-336,390-394,410-414,430-434,441,450-454,515-519,535-539,555-559,566,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,NW7D7D7D017D7D7D7D00000000007D7D00051905007D010019001900017D00051905007D7D00000000007D7D7D7D017D7D7D
b2o12bo19bo$o12bobobo16bobo$14b3o16bo3bo$33bo3bo$33bobobo$35bo$34bobo6$13b3ob3o$13bobobobo$14bo3bo!

Code: Select all

x = 74, y = 35, rule = R3,C0,S6,27,34,36,40,52,69-70,109,123,140,145,149,157,188,225,260-262,272,274-275,277-278,281,288,319,332,334,339,357,371,378-392,403,454,480-481,486,494-511,531,538-539,547,553,559,561,580,611-623,625-626,632,650,697,702-704,716,719,728-744,759-760,763,789,817-818,830,858,862,919,964,966-1058,1060-1086,1088-1156,1158-1161,1163-1167,1169-1212,1218,1220,1223,1232,1243,1254,1264,1298,1303,1309,1320,1350,1357,1385,1387,1402,1418,1425,1427-1428,1490,1496,1504,1509,1525,1546,1556,1582-1583,1585,1609,1611,1621,1638,1645-1646,1652,1670,1675,1678,1682,1685,1702,1726,1755,1768,1832,1840,1939,1959,1962,1971,1980,2004,2023,2047,2063,2086,2094,2097,2113,2117,2133-2134,2143,2145,2163,2207,2214,2220,2235,2242,2255,2265,2295,2342,2357,2362,2369,2380,2396,2446,2500,2509,2619,2628,2634,2661,2674-2675,2690,2704,2738,2748,2756,2769,2781,2792,2796,2806,2810,2815,2861,2873,2894,2901,2921,B22,26-28,44,58,63-64,78,97,113,144-145,183,225,253,260,273,275-276,299,307,339,355-356,369,375,387,389-392,394-401,403-417,429,436,445-446,462,479,508-512,534-535,550,591,624-626,629,654,677,680,685,703,716,721-722,734,737,742-743,748,839,848,859-861,871,899,915,930,949,953,955,959,964,977-1005,1022,1026,1051,1094,1099,1118,1139,1165-1166,1237,1286,1299,1332,1335,1381,1391,1419,1432,1496,1517,1535,1566,1577,1605,1610,1613,1650,1798,1868,1912,1934,1945,1948,1974,1981,2024,2047,2051,2057,2082,2114,2122,2131,2144,2148,2163,2174,2193,2201,2205,2217,2278,2286,2304,2351,2353,2356,2397-2398,2410,2423,2437,2466,2485,2489,2492,2506,2560,2585,2604,2635,2639,2696,2709,2712,2717,2726,2740,2777,2812-2813,2825,2833,2846,2853,2861,2889-2890,2897,2920,NW017575017575017501750075017575750D0D0D757501000D000D000175750D0D0D75757501750075017501757501757501
2bo19bo18bo3bo11b2o12b2o$obobo16bobo17b2ob2o11bo$b3o16bo3bo15bobobobo
10bobo10bo2bo$20bo3bo$20bobobo$22bo$21bobo24$2bobo$bo3bo2$bo3bo$2bobo!

[b-engine]

Uhh...this sawtooth-shuttle-puffer-like thing seems to grow at sqrt(t):

Code: Select all

x = 3, y = 3, rule = B3-r4z5ckqry6n8/S234k5i6a
o$b2o$bo!

EDIT:
Replicator chaos inside solid "day" making chaos outside while expanding:

Code: Select all

#R B2cei3a5678/S01e2i456-a78
!
[[ RANDOMIZE ]]

[CARuler]

Uhh...this sawtooth-shuttle-puffer-like thing seems to grow at sqrt(t):

Code: Select all

x = 3, y = 3, rule = B3-r4z5ckqry6n8/S234k5i6a
o$b2o$bo!

O(sqrt(x)) is in fact the growth rate

[Citation needed]

There is a fuse in this rule.

Code: Select all

x = 25, y = 91, rule = B3-r6i/S235i
23b2o$23b2o7$21b2o$21b2o7$19b2o$19b2o7$17b2o$17b2o7$15b2o$15b2o7$13b2o
$13b2o7$11b2o$11b2o7$9b2o$9b2o7$7b2o$7b2o7$5b2o$5b2o7$3b2o$3b2o6$b2o$
2o$b2o$2bo!

Code: Select all

x = 6, y = 3, rule = B3-r6i/S235i
2o2b2o$2b4o$2o2b2o!

This is a clean breeder.

Code: Select all

x = 8, y = 68, rule = B3-r6i/S235i
6bo$6bo$6bo$6bo$6bo$6bo$5b3o$5b3o15$6bo$6bo$6bo2$6bo$6bo$6bo3$6bo$5b3o
$5b3o2$5b3o$5b3o$6bo$6bo$6bo$6bo$5b3o2$5b3o3$5b3o$5b3o$6bo$6bo$5b3o$5b
3o2$5b3o$5b3o$6bo$5b3o$5b3o$6bo3$6bo$5b3o$5b3o$6bo$bo4bo$3o2b3o$3o2b3o
!

[confocaloid]

Uhh...this sawtooth-shuttle-puffer-like thing seems to grow at sqrt(t):

Code: Select all

x = 3, y = 3, rule = B3-r4z5ckqry6n8/S234k5i6a
o$b2o$bo!

Consider generations 74, 221, 556, 1079, 1790, ...
The populations in those generations are 17, 21, 25, 29, 33, ...
In each of those generations, there is a L-triomino at one of two ends.

It looks like generation (94 n^2 + 53 n + 74) has population (17 + 4 n) for n = 0, 1, 2, ..., which should be sufficiently clear to be either proved or disproved, and which would imply "square root" population growth?

[splitterrules]

Failed Langton's ant:

Code: Select all

x = 3, y = 4, rule = B38/S2-i3-ak4eity6c
2bo$b3o$2obo!

[CARuler]

This appears to emulate a different termite, but ends up using a reaction that creates an offset in the emulator, ending with both emulators dying

[b-engine]

B3ai457e/S2-a34n has a reaction where a tub evolves to a 24-bit still life resembling a circle.

A natural c/6 spaceship:

Code: Select all

x = 5, y = 5, rule = B3ai457e/S2-a34n
b3o$o2bo$o3bo$o2bo$b3o!