Thread for basic non-CGOL questions

[Haycat2009]

Also to make my original question even clearer, I'm asking for an INT rule is there a rule that's nonexplosive, where all single transitions will make it explosive (102 rules)? If not what is the greatest number of single transitions from a nonexplosive rule that will make it explosive?
(A single transition is B3/S23->B34c/S23, or B3/S23->B3-c/S23)

My best guess is B2-a3-i45678/S012345678.

[confocaloid]

The best rule is one where soups don't boil over despite the high collision frequency, and yield many toads, snakes and scorpions. [...]

Is there anyone among us who can identify such a rule in the space of rules that can be defined with Hensel notation (= two-state isotropic rules with range-1 Moore neighbourhood on the square tiling)?
The rule should be active, apgsearchable, and toads (xp2_7e), snakes (xs6_bd), scorpions (xs16_69egmiczx1) should be significantly more common in C1, compared to b3s23/C1.

[muzik]

If growth beyond quadratic is impossible in 2D, what exact mechanism is making the count of alive and dead cells follow a curve (press the "Pop" button to get rid of the current population line)?

Code: Select all

x = 5, y = 3, rule = B3/S2-in3-ace4ikqz
2bo$b3o$2o2bo!
[[ GRAPH AUTOFIT AUTOSTART STEP 64 ]]

Notice how for the fastest growing case, the green line is completely straight at all times.

Code: Select all

x = 1, y = 1, rule = B12345678/S012345678
o!
[[ GRAPH AUTOFIT AUTOSTART STEP 64 ]]

[NimbleRogue]

If growth beyond quadratic is impossible in 2D, what exact mechanism is making the count of alive and dead cells follow a curve?
Notice how for the fastest growing case, the green line is completely straight at all times.

The reaction produces copies that form this zig-zag tiling pattern, the important thing is that each piece of the zigzag can be thought of as a moving wick(though they interact so it is technically an agar) thus the whole thing can be thought of as a sort of barber pole. The inside birth and death rates will mirror the total area of the barber pole, meaning they will mirror the total population.

Asking this again
Is there a cellular automaton rule where all periods and speeds present in other symmetries are also contained in C1, with a variety of nontrivial oscillators and ships, including high-period ones? By 'nontrivial,' I mean there are objects of other symmetries, and by 'high period,' I'm referring to periods exceeding 10. It should be diverse and substantial enough to warrant exploration. For instance, while rules like B/S012345678 and B3/S technically fulfill this condition, they are rather limited, primarily consisting of trivial patterns like still lifes and P2 oscillators. I'm looking for a rule with more complexity, ideally featuring at least one spaceship and several oscillators with periods exceeding 10.

A new question
What is the highest period/maxpop for a non-adjustable int ship?
The highest I'm finding is this with a value of 19.77

Code: Select all

x = 3, y = 34, rule = B2c3a6ac7e/S1e2cik3ejnr4i
bo$3o$obo$obo$obo$obo$obo$3o$obo$3o$obo$obo$obo$3o$obo$3o$obo$3o$obo$
obo$obo$3o$obo$3o$obo$3o$obo$obo$obo$obo$obo$3o$obo$o!

The second place is this with a value of 17.83

Code: Select all

x = 4, y = 4, rule = B2in3-ejn4jnqty5cinry6ek7c8/S01c2-ci3eikqr4acirwy5-inqr6ekn8
bobo2$bo$o!

azulavoir mentioned a 4096 period 50 cell ship, but I'm not finding that.

[confocaloid]

Is there a cellular automaton rule where all periods and speeds present in other symmetries are also contained in C1, with a variety of nontrivial oscillators and ships, including high-period ones? By 'nontrivial,' I mean there are objects of other symmetries, and by 'high period,' I'm referring to periods exceeding 10. It should be diverse and substantial enough to warrant exploration. For instance, while rules like B/S012345678 and B3/S technically fulfill this condition, they are rather limited, primarily consisting of trivial patterns like still lifes and P2 oscillators. I'm looking for a rule with more complexity, ideally featuring at least one spaceship and several oscillators with periods exceeding 10.

I don't know examples (assuming I understand the idea of the question), but here are some non-examples. Apgsearched CA rules often have some interesting symmetric object(s) which are common in their symmetry, but either very rare or absent in C1. E.g. a p82 oscillator in b2n3s23-q/C4_1, a p37 oscillator and a p33 oscillator in b3s2-n36c/D8_4, a p62 oscillator I found in b3s234c/C4_4, and a p27 oscillator in b3s23/C4_4.

If I understand right, neither of those CA rules answers your question, precisely because they have seminatural high-period objects. Maybe an actual example would be some CA rule where every commonly occurring high-period object (including symmetric objects) just so happens to have a small seed from which it evolves, allowing it to occur in C1 early.

In addition, even if you find such a CA rule, then further exploration will likely disqualify it, as soon as a high-period seminatural oscillator is discovered.

A new question
What is the highest period/maxpop for a non-adjustable int ship?
The highest I'm finding is this with a value of 19.77

Here are two examples with higher period/maxpop. If someone runs a script to compute the maxpop for every spaceship in the 5S database, probably there are going to be better examples.

Code: Select all

#C p8802 (orthogonal 20c/4401), maxpop 405, minpop 3
#C period/maxpop ~ 21.733
x = 2, y = 3, rule = B2-a3aqry4cnwyz5-cjkq6-an7e8/S1c3-nqy4ackntw5-ijkr6in78
o$bo$o!

Code: Select all

#C p30180 (orthogonal 5c/1509), maxpop 691, minpop 6
#C period/maxpop ~ 43.676
x = 3, y = 3, rule = B2in3-ceqy4jkqz5cen6ci7c8/S2-ci3-ak4cinryz5aejnr6cei7c
3o$2bo$b2o!

[NimbleRogue]

If I understand right, neither of those CA rules answers your question, precisely because they have seminatural high-period objects. Maybe an actual example would be some CA rule where every commonly occurring high-period object (including symmetric objects) just so happens to have a small seed from which it evolves, allowing it to occur in C1 early.

In addition, even if you find such a CA rule, then further exploration will likely disqualify it, as soon as a high-period seminatural oscillator is discovered.

That's a fair point, what I care about most is the high-period things matching, and I am ok if some of the low-period stuff does not match. I still do feel that finding rules with every period matching is reasonable, take a look at the rule below that sparked the question as an example.

I was talking about this rule where all 21 speeds of ship, all 4 c/2 variants, I did not save the low period oscillators, but I think the list was p1-6,8,and all 6 high periods of oscillator appear in C1

Code: Select all

x = 4473, y = 1361, rule = B3aijkr4ek5r6ci7c8/S2-ci3-aky4ceinrtz5j6cin78
68$1126b3o3b3o3b3o$1125bo5bo3bobo3bo$1125bo9bo5bo$1125b4o4b2o5bo$1125b
o3bo5bo3bo$1125bo3bobo3bo2bo$1126b3o3b3o2b5o151$1126bo2bo24$1145bo$
1145b2o$1146b2o$1145b2o$1158bo$1158b2o$1159bo$1156b2obo$1125b2o27b2o2b
o$1125bobo27bobo$1126b2o27b3o26$1161bo$1161b3o$1160bo2bo$1160bob2o$
1157b2o2bo$1158b3o78$1128bo2b5o4bo$1127b2o6bo3b2o$1126bobo5bo3bobo$
1125bo2bo4bo3bo2bo$1125b5o2bo4b5o$1128bo2bo8bo$1125bo2bo2bo8bo151$
1135bo2$1134bo4b3o15b2o$1134b2o3bobo15bobo$1126b3o3bo6bobo17bo$1125bo
2b2ob4o5bobo14b3o$1125bo7b2o4bo2bo27b2o$1125b2o4bo7bob2o27b2o$1127bo2b
o40b2o$1127b3o37b3obo$1166bo3bo$1167bob2o$1167b3o$1168bo12$1155b3o$
1155bobo$1155bo2b2o$1159bo$1152bo4bobo$1151b2o4b2o$1150b2o$1151b2o$
1152bo108$1697bo2$1126b3o4bo4b3o264b5o2b3o5bo265bo4b3o3b3o5bo$1125bo3b
o2b2o3bo271bobo7b2o264b2o3bo3bobo3bo3b2o$1129bo3bo3bo270bo2bo6bobo265b
o7bobo2b2o2bobo$1127b2o4bo3b4o266bo3b4o2bo2bo265bo5b2o2bobobobo2bo$
1129bo3bo3bo3bo264bo4bo3bob5o264bo7bob2o2bob5o$1125bo3bo3bo3bo3bo263bo
5bo3bo4bo265bo3bo3bobo3bo4bo$1126b3o3b3o3b3o264bo6b3o5bo264b3o3b3o3b3o
5bo2$1133bo2$3146b3o3b3o3b3o$3145bo3bobo3bobo3bo$3145bo3bobo3bobo3bo$
3146b4o2b3o3b3o$3149bobo3bobo3bo$3149bobo3bobo3bo$3146b3o3b3o3b3o131$
1727b3o$1727bo2bo2$1728bo3bo$1689b3o2bo35bob2o$1688b2o3b3o34b3o$1686b
4obo3bo35bo$1685bo2bo3b3o$1685bo$1685b2ob2o$1146b3o538b3o1473bo$1148b
2o540bo1471b3o$1144bobobo2012bo2b2o$1144bob2o542bo1470b2o2bo$1144b2o
2014bo5bo$3160b3o3b2o$3165b2o$1140bo3b2o2010bo4b2o2b2o$1138b4obobo
2010b2o2bobo$1137bo3bob2o2012bo2b2o$1137bo274b2o5bo1734b2obo8bob2o$
1137b2obo270b2o12bo1726b2o2bo10bo$1139bo2b2o3bo264b2o11b2o1726bobo10bo
$1140b3o4bo265bo13bo1725b3o$1147bo271bo$1146b3o268b3o$1147b2o2$1431b2o
$1431bob2o$1434bo$1432b3o$1428b2obo$1428bo2bo$1129b3o297b3o1741b2o$
1129bo2bo2040bob2o$1128bo3bo2043bo$1132b2o2042bo$1127bo5bo2040b2o$
1125b2o4bo2041bo$1125b2o$1125bobo$1126bo2b2o$1127b3o3$3150b3o$3150bo2b
o$3150bo2bo$3151b3o2$3150b3o$3150bo$3145bo2bobo$1430bo1714bob2obo$
1429b3o1714bo4bo$1430bob2o1711bobob2o$1433b2o1711bo2b2o$1430bob2o1713b
3o$1429b4o1715bo$1429b3o2$1408b2o$1408bo$1406b3o$1405b2o$1405b2obo$
1406bobo$1413b2o$1412bobo$1412b2o$1409b2o$1409bo2b2o$1410bo2bo$1410b3o
77$133bo704bo2918bo149bo2$126b3o3b3o5bo125b3o2b5o2b3o124b5o4bo3b3o124b
5o2b3o5bo125b3o4bo4b3o125bo4b3o3b3o3b3o280bo3b5o2b3o125b5o2b3o3b3o125b
3o3b3o3b3o127bo3b3o3b3o125b3o2b5o2b3o125b3o3b3o3b3o125bo3b5ob5o4bo130b
3o3b3o3b3o125bo6bo3b3o3b3o270b3o2b5o2b3o135bo5bo6bo3b3o280bo4b3o2b5o
137bo3b3o5bo134b5o2b3o3b3o134b5o2b3o5bo135b3o4bo4b3o135bo4b3o3b3o5bo
130bo5bo4b3o3b3o130bo3b5o2b3o3b3o130bo3b5o2b3o3b3o$125bo3bobo3bo3b2o
124bo3bo5bobo3bo123bo7b2o2bo3bo127bobo7b2o124bo3bo2b2o3bo3bo123b2o3bo
3bobo3bobo3bo278b2o3bo5bo3bo124bo5bo3bobo127bo3bobo3bobo3bo125b2o2bo3b
obo3bo123bo5bo5bo3bo123bo5bo3bobo3bo123b2o3bo9bo3b2o129bo3bobo3bobo3bo
123b2o5b2o2bo5bo3bo268bo3bo5bobo137b2o4b2o5b2o2bo282b2o3bo3bobo140b2o
2bo3bo3b2o134bo5bo3bobo141bobo7b2o134bo3bo2b2o3bo3bo133b2o3bo3bobo3bo
3b2o129b2o4b2o3bo3bobo132b2o3bo5bo3bobo3bo128b2o7bobo3bobo3bo$129bo5bo
2bobo128bo4bo2bo2b2o123bo6bobo2bo2b2o126bo2bo6bobo124bo3bo3bo3bo2b2o
124bo3bo2b2obo3bobo2b2o279bo3bo5bo3bo124bo5bo3bobo131bobo3bo5bo124bobo
6bobo3bo123bo5bo9bo123bo5bo3bobo3bo124bo3bo8bo3bobo129bo3bo5bo5bo124bo
4bobo2bo9bo268bo3bo4bo2bo138bo5bo4bobo2bo283bo7bobo139bobo2bo3bo2bobo
134bo5bo3bobo140bo2bo6bobo134bo3bo3bo3bo2b2o134bo3bo2b2o5bo2bobo130bo
5bo7bobo133bo3bo9bobo3bo129bo6bo2bo3bobo3bo$128bo5bo2bo2bo127bo4bo3bob
obo124b3o2bo2bo2bobobo125bo3b4o2bo2bo125b3o4bo3bobobo124bo3bobobo2b3o
2bobobo279bo4b3o3b3o126b3o3b3o2b4o126b2o3b3o5bo124bo2bo5bo3b3o124b4o3b
3o5bo124b4o3b4o2b3o125bo4b3o4bo3bo2bo130b4o4bo5bo125bo3bo2bo2b4o5bo
270b3o4bo3b4o135bo5bo3bo2bo2b4o280bo5b2o3b3o135bo2bo3b4obo2bo135b3o3b
3o2b4o136bo3b4o2bo2bo135b3o4bo3bobobo134bo3bobobo3b2o2bo2bo130bo5bo6bo
2b4o130bo4b3o5bo3b3o130bo5bo4b4o2b3o$127bo5bo3b5o125bo4bo4b2o2bo127bob
5ob2o2bo124bo4bo3bob5o123bo3bo3bo3b2o2bo124bo3b2o2bobo3bob2o2bo279bo7b
obo3bo128bobo3bobo3bo127bobo3bo3bo125b5o3bo3bo3bo123bo3bo5bo3bo125bo3b
o5bobo3bo124bo7bo2bo4b5o132bo3bo5bo126bo3b5obo3bo3bo270bo3bo2bo4bo3bo
134bo5bo3b5obo3bo279bo7bo5bo134b5o5bob5o137bobo3bobo3bo134bo4bo3bob5o
133bo3bo3bo3b2o2bo134bo3b2o2bo5bob5o129bo5bo5bo3bo3bo129bo7bo3bo3bo3bo
129bo4bo8bobo3bo$126bo5bo7bo125bo4bo5bo3bo123bo3bo4bo2bo3bo123bo5bo3bo
4bo124bo3bo3bo3bo3bo124bo3bo3bobo3bobo3bo279bo3bo3bobo3bo124bo3bobo3bo
bo3bo123bo3bobo3bo2bo129bo3bo4bo3bo123bo3bobo3bo2bo126bo3bo5bobo3bo
124bo3bo3bobo8bo133bo2bo5bo127bo6bo2bo3bo2bo271bo3bobo5bo3bo134bo5bo6b
o2bo3bo279bo3bo3bobo3bo137bo6bo4bo134bo3bobo3bobo3bo133bo5bo3bo4bo134b
o3bo3bo3bo3bo134bo3bo3bobo3bo4bo130bo5bo4bo4bo3bo129bo3bo3bo2bo4bo3bo
129bo3bo9bobo3bo$125b5ob5o4bo124b5obo6b3o125b3o5bo3b3o124bo6b3o5bo125b
3o3b3o3b3o124b3o3b3o3b3o3b3o279b3o3b3o3b3o126b3o3b3o3b3o125b3o3b3o2b5o
123bo2bo2b5o2b3o125b3o3b3o2b5o124b3o3b3o3b3o124b3o3b3o2bo8bo130b3o2b5o
b5o123b3o5bo3b3o2b5o269b3o2bo6b3o134b3o3b3o5bo3b3o279b3o3b3o3b3o135bo
2bo3b3o5bo135b3o3b3o3b3o134bo6b3o5bo135b3o3b3o3b3o134b3o3b3o3b3o5bo
129b3o3b3o2b5o2b3o129b3o3b3o2b5o2b3o129b3o2bo6b3o3b3o2$419bo847bo1000b
o279bo748bo149$127b2o176b3o116b2o119b3o137b2o169b3o294bo160bo100b2o11b
2obo124b3o166b2o103bo155b3o130b2o172b2o260b2o154b3o301b3o140bo155b3o
128b3o151b3o170b3o131bo157b3o166b3o$126b3o175bo2bo116bobo118bo139b3o
168bo2bo292b3o142b2o14b3o97bo16b3o122b2o169b3o100b4o153bo2bo127b2o2bo
171bob2o257b3o154bo2bo300bo2bo138b3o153bo2bo128bo153bo2bo168bo2bo130b
3o156bo2bo164bob2o$125b2obo175bo2bo118b2o118b2obo136bo169bo2bo291b2o2b
o140b2o6bo7bo2b2o95bo15bo3b2o122bobobo166bobo97b2o2b2o152bo2b2o126bobo
2bo174bo258bo154bo304bo2bo137b2obo153bo3bo127bo3bo148bo3bo168bo3bo129b
ob2o154bo148b2o17bobo2bo$126bobo174b2o118bob2o119bo2bo136bo4b3o164b2o
294b2o141b3o12b2o2bo95bo15bo3bo124b2obo159b2o7b2o95b2obo154bobo128b2o
3bo175bo251b3o4bo153b4ob2o302b2o293bo3bo128b3o149b2ob3o166bo3b2o127bo
3bo155b4o146b2o16bo6bo$127b2o174bobo109bo7b3o121b3o136bo3b2o2bo456b2o
145b2o13b4o95b3o14bo2bo126b2o159b2o6b2o95b2o2bo154bobo129b3ob2o172b2o
251bo2b2o3bo154bo3bo302bobo292b4obo130b2o148b2o2b3o459b3o145b2o17b2o6b
2o$414b2o132bo144bob2o156bobo294bobo147b2o10b2o115b3o287b2o7bo97b2obo
287b2obo172bo251b2obo165bo597bo2b3obo275bobo6bo297bo2bo326bo7bo$413b2o
281bo156b3o294b2o568bo2b2o103bo175bo261bo278bo164bo443bo162bo2bo147b2o
2b2o128bobo297b3o330bo4bo$414b3o2bo269b2obo3bo157bo301bobo562bobobo
277b3o539bo3bob2o158bo442bo163b2o148bobo2bo127bo635b3o$415bob3o268bobo
b4o460b3o563b2o278b2ob2o259bo279b4obobo600b2o3bo156bo151b3o130bobo476b
o155b2o$416b2ob2o267b2o3bo464bo564bo277bobo261b3o280bo3b2o764b2o281bob
2o474b3o$155b2o138bo121b3o26bo709b3o841b3o1313bo2b2o149bo131b2o475bob
2o$152b5o138b2o121bo26b3o708bo842b2obo1314b3o$155bo140b2o146b2obo707b
2o540b3o300b4o548b2o764bo$147b2o146b2o151b2o1246bo2bo133b3o165bo550bob
2o$147bobo141b2obo154b2o1245b2obo133bo2bo715bobobo600b2o925bo112b2o$
148b2o2bo139b3o146b2o4bobo1241b3o6b3o130bob2o423bo295b2o599bo926bo110b
2ob2o$152b2o128b2o9bo146bobo4b2o141bo674b3o424bo9bo303b2o130bo120bobo
292b3o599bo922bo3b2o110bo2b2o$148b2o3bo128bobo155bo148b3o673bobo278bo
2b3o135bo13b2o303bo2b2o126b3o117b2o3bo883b2o1047bo2b2o$147b2o2bobo129b
2o155bobo146bo2bo672bobo277b3o3b2o133b2o4bo7bo305b2o2bo126bobo116b2obo
b2o882bobo1048bo$148bo3bo288b2o146bob2o952bo3bob4o130b2o12b2o306b3o
245b2o2bo440b2o443bo$148bo2bo441bo676b2o274b3o3bo2bo130b2o320bo107b2ob
o22b2o112b2o2bo436bobobo443b3o2b2o341b3o$127bo21b3o439b3o677b2o282bo
561b3o20bo2bo116bo435b2ob2o447bo2bo340b2o2bo130bo$125b3o1139b2o2bo159b
3o117b2ob2o415bo146bo21bo2bo551b2o34bo416bobo344bob2o120bobo4bobo420b
2o2b2o25b2o$125bo173b3o966b3o162bo117b3o415b3o2b3o163b3o553bobo30b4o
415b3o344bo2bo119b3o2b3o3b2o129b3o284b2obobobo26bo$299bobo967bo159bob
2o117bo421bobobo720b2o8bo20bo3b2o762b3o119bo2b4obobob2o126bobo2bo282bo
bobob2o28bo$297bob2o529bo9b2o587bo2bo534b2o2bob2obo725b2ob3o20bo3bo
592b2o169bo125b2o2bobo2b2o121bo3bobo2bo281b2o44b2o$827b3o11bob2o584b3o
118bo415bo2b2o2bobo727bobo22b2o3bo590bobo300bo2b2o121bob4o2b3o282b2o
43bobo$301bo523b2o3b2o8bo3bo585bo534b2o2bo4bo727b4o24b2obo590b2o301bo
124bo294b2o2b2o40bo$300b2o523bo2bob2o8bo2bo300b3o819b2o1783b2o2b2o292b
4o2bobo29b2o2b3o$825bo4b2o9b3o300bo2bo819b3obo1779bo3bo294bo5bo30bo2bo
$713b3o110bo300b2o15bo2bo683b2o3bo132b2o1325bo451bobo3bo300bo32bobo$
715b2o111b2o295b2ob2o18bo682b3o3bo1457b3o172b3o275b2o5b2o298bo32b3o$
266bo444bobobo409bo2bo15b3obo683bobo2bo1457bobo172bobo274bo$265b2o444b
ob2o410bo2bo15b3o684b2obob2o1202b2o426b2o2bo272bobo$265bo445b2o413b2o
18bobo682bo3bo1205b3o256b2o166bo4b3o271bo$265bob2o877b2o684b3o1205bo3b
o253bo2bo152bo20bo269bobo7b3o$266bo2b2o1986b3o784bo253bo2bo151b3o17bob
o270b2o6b2o2bo$267bobo1987bo2b2o780b3o253b3o153bo18b2o282bob2o$267b3o
1157b2o829b3o1192bo306bo$1426bo2b2o828bo473bo721bo300bo3bo$1425b2o3bo
1302bo738bo283b4o$1425bo4bo1298bo739bob2o284bo153bo$748bo676b5o1299bo
2bo739bo155b3o278b3o$747b3o676b2o1301b3o894b2o2bo278bo$747bob2o2876b3o
270bo$746bo3bo1515bo1361bo266b3o2b3o$405b3o339b3obo1512bob3o1198bob2o
424bobobo$405bo345b2o1510bo4bo1198b3o425bob2obo2b2o$406b2obo308b2ob2o
27b2o1512bo3bo1199bo427bobo2b2o2bo$406bo2bo307bob4o27b2o1514b2o1629bo
4bo2b2o$407b3o307bo3bo15b3o1524b2o732b2obo902b2o$408bo308bob2o18bo
1523b2o731b2o3b3o617bo278bob3o$718bo18bobo2255bo6b2o615b3obo277b2o$
719bo2bo14b2o2256bo623bo4bo$719b3o1133b3o1137b3o621bo3bo121b5o$1857b2o
1761b2o123b2o2bo$1853bobobo1764b2o122b3o$1853bob2o1766b2o122bo$1853b2o
3$1405b3o1162bo$1405bo2bo1160b3o$2568b2o2bo$1406bo3bo1157b2obobo$1408b
ob2o1155bo4bo$1408b3o1157bob2obo$1409bo1158bobo2bo$2568bo$2566bobo$
2567bo2$2564b2obobo$2565bo2b2o$2566bo$2563bob2o$2565bo$2559b2o$2559bo
2bo$2559bo2bo$2560b3o!

Code: Select all

x = 843, y = 289, rule = B3aijkr4ek5r6ci7c8/S2-ci3-aky4ceinrtz5j6cin78
25$603bo3b3o$602b2o2bo3bo$601bobo2bo3bo$600bo2bo3b3o$600b5obo3bo$603bo
2bo3bo$603bo3b3o25$219bo6bo$218b2o5b2o$219bo4bobo$219bo3bo2bo$91b3o
125bo3b5o168b3o5bo$90bo3bo124bo6bo168bo3bo3b2o$94bo123b3o5bo172bo2bobo
$93bo304bo2bo2bo$92bo304bo3b5o$91bo304bo7bo$90b5o300b5o4bo46$660bo$
659b3o$658bo2b2o$658b2obobo$659bo2b3o$658b2o2bob2o$662bobo$654bo7b2o$
653b4o$651b2o2b2o$650b2o$649b2o$650bobobo$651b2obo$653b2o$675bo$675b2o
$674bob2o$674bobo$674b2o3$638b2o$637b2o4bo$638b2o$639b4o40b3o$683b4o$
684b4o$688bo$688b2o$685b4o$630bo55bo$629b4o$628bo2b2o$627bo$626b4o$
629bo$628bo6bo$216bo417b2o$215b3o4b3o408b2o$215bob2o2bo2bo405b2o2bo$
221b2obo166b3o237b3o$391bobo238bo$389b2o2bo290b3o$389bo3b2o289bo2bo$
389b3o292b3obo$686b2o$397b2o286bo$106b3o287b5o282b2obo3bo$107bo281b2o
5bo4bo282bo2bo3bo$390b2o4b2o3bo282bo2b2ob2o$107bo290b4o284bo3bo$686bo
2b2o$687b3o$386bo301bo$383bob2o$383b2obo$384b2o2$651bo$649b3obo$654bo$
651bo2bo$647bo3bob2o$648bob3o$651bo$662b2o$660b2obo$660bo$660bo$661b2o
$663bo11$628b3o$628bobo$628bobo2$633b2o$634b2o$630b2o2bo$631b3o$632bo
42bo9b2o$674b3o4b2obobo$674b3o3bobob2o$634b3o42b2o$633bo2bo43b2obo$
636bo44b3o8bo$632bo56b4o$632bo55bobo$687b2obo$687bo2bo8$668b2o$666b2o$
632bob2o29b3o$632bo3b2o18b3o5b2o6bo$633bo3bo20b2o5b2o$632b2o3bo16bobob
o$633b4o17bob2o$634bo19b2o23b2o$678bo2bo$678b2o2$678bobo$679b2o5bo$
683bobo$683b2o!

[yujh]

2415/43 = 56.16279

Code: Select all

x = 10, y = 3, rule = B2ek3cei4acjwz5cikqr6aci8/S02-ei3aq4-ajnqz5acn6cn
8b2o$o8bo$8b2o!

1571/32 = 49.09375

Code: Select all

x = 10, y = 3, rule = B2ek3ceik4acjz5aiqr6cik/S02-ei3aq4-acjnz5acnr
8b2o$o8bo$8b2o!

3378/59 = 57.25424

Code: Select all

x = 4, y = 10, rule = B2-a3aci4ekqz5ej6-e8/S2aen3-acek4aceikt5ejqry
3bo$2b2o$b2o5$o$bo$2o!

these are all results of mine, so there should be much better ones
Edit: 3486/39 = 89.38462

Code: Select all

x = 4, y = 10, rule = B2-a3ai4cikqt5ciry6cen7e8/S2ae3-ace4acintz5eqry
3bo$2b2o$b2o5$o$bo$2o!

[NimbleRogue]

2415/43 = 56.16279

Code: Select all

x = 10, y = 3, rule = B2ek3cei4acjwz5cikqr6aci8/S02-ei3aq4-ajnqz5acn6cn
8b2o$o8bo$8b2o!

1571/32 = 49.09375

Code: Select all

x = 10, y = 3, rule = B2ek3ceik4acjz5aiqr6cik/S02-ei3aq4-acjnz5acnr
8b2o$o8bo$8b2o!

Were those from a 5s search? I'm not seeing them in the database
6642/59=112.57627

Code: Select all

x = 5, y = 5, rule = B2-a3aik4ei5er6a7e8/S2ace3-ak4aceitz5eikqy6ei 
39b2o$38bobo$40bo26$o$o$3o!

39052/143=273.09091

Code: Select all

x = 44, y = 13, rule = B3aeijr4ej5r6ci7c8/S2-i3-ay4einrtyz5jnr6cn7
b2o$obo$3o7$40b3o$39bo2bo$39b2o2bo$42b2o!

[CasperWen8805181]

can someone help me find the (around) amount of distinct ships and puffers and rakes? Thanks!
Also, what's the speed of this puffer?

Code: Select all

x = 22, y = 29, rule = 23/3/3|2345678/3aei/3
3.A$2.3A$2.A.A2$B.B$B$8.2A$9.2A$3.A3.3A$2.2A2.A$6.6A$5.B5.2A$.B5.B2.2A
$2A.B3.A$.B4.B2$3.B2.A12.A$4.3A4.2A5.B2A$5.A4.2A8.2A$11.B.B3.B3A2$15.
B3A$11.B6.2A$10.2A3.B.2A$11.A$12.B2.B2$8.2A$8.2A!

And if it's impressive! Thx
Edit: Natural Breeder:

Code: Select all

x = 10, y = 13, rule = 23/3/3|2345678/3aei/3
6.2A$6.A.B$2.A$.2AB2.B2.B$2A$.2AB2.B.B2$.3AB2.B$2A5.A$.2A2.2A$3.A.A$3.
3A$4.A!

I found another cleaner one that was also natural, but I lost it ;-;

[Haycat2009]

can someone help me find the (around) amount of distinct ships and puffers and rakes? Thanks!
Also, what's the speed of this puffer?

Code: Select all

x = 22, y = 29, rule = 23/3/3|2345678/3aei/3
3.A$2.3A$2.A.A2$B.B$B$8.2A$9.2A$3.A3.3A$2.2A2.A$6.6A$5.B5.2A$.B5.B2.2A
$2A.B3.A$.B4.B2$3.B2.A12.A$4.3A4.2A5.B2A$5.A4.2A8.2A$11.B.B3.B3A2$15.
B3A$11.B6.2A$10.2A3.B.2A$11.A$12.B2.B2$8.2A$8.2A!

And if it's impressive! Thx
Edit: Natural Breeder:

Code: Select all

x = 10, y = 13, rule = 23/3/3|2345678/3aei/3
6.2A$6.A.B$2.A$.2AB2.B2.B$2A$.2AB2.B.B2$.3AB2.B$2A5.A$.2A2.2A$3.A.A$3.
3A$4.A!

I found another cleaner one that was also natural, but I lost it ;-;

It’s hard as there are usually an infinite number of puffers in rules like these.

[muzik]

What is the smallest seed for infinite chaotic growth in this rule? The examples I've found have massive bounding boxes which seem reducible.

Code: Select all

x = 226, y = 32, rule = B2ce3ci4c/S1c2ce
199bobo$200bo9$o2$o17$225bo2$225bo!

Code: Select all

x = 78, y = 257, rule = B2ce3ci4c/S1c2ce
75bobo$75b3o221$6b2o$2o2bo2bo$o2bo2b2o$2o28$6bo2$5bobo$5b3o!

[silversmith]

What is the smallest seed for infinite chaotic growth in this rule?

Here's a smaller one.

Code: Select all

x = 85, y = 7, rule = B2ce3ci4c/S1c2ce
84bo$83bo$84bo2$2b2o$o2bo$2b2o!

[confocaloid]

How does one prove that it is actually "infinite chaotic growth"? There are similar seeds which appear to grow chaotically, but then settle into well-behaved (predictable) growth instead:

Code: Select all

x = 97, y = 7, rule = B2ce3ci4c/S1c2ce
96bo$95bo$96bo2$2b2o$o2bo$2b2o!

Code: Select all

x = 102, y = 7, rule = B2ce3ci4c/S1c2ce
101bo$100bo$101bo2$2b2o$o2bo$2b2o!

And there are similar seeds which do not grow infinitely at all:

Code: Select all

x = 109, y = 7, rule = B2ce3ci4c/S1c2ce
108bo$107bo$108bo2$2b2o$o2bo$2b2o!

Code: Select all

x = 9, y = 21, rule = B2ce3ci4c/S1c2ce
o$bo$o17$7bo$6bobo!

Code: Select all

x = 12, y = 39, rule = B2ce3ci4c/S1c2ce
o$bo$o35$10bo$9bobo!

Another "maybe chaotic" collision:

Code: Select all

x = 19, y = 62, rule = B2ce3ci4c/S1c2ce
o$bo$o58$17bo$16bobo!

[silversmith]

How does one prove that it is actually "infinite chaotic growth"? There are similar seeds which appear to grow chaotically, but then settle into well-behaved (predictable) growth instead:

I don't know, it just looks like an explosion. 260,000 generations run so far and no sign of stabilizing.

[confocaloid]

And there are similar seeds which do not grow infinitely at all:

The following seed appears to grow chaotically, and exceeds 400K bits (alive cells) at some point, but eventually settles below 142K bits.

Code: Select all

#C time, population
#C 10837, 404022
#C 10901, 409026
#C 10965, 408985
#C 11029, 412335
#C 20000, 141444
x = 50, y = 50, rule = B2ce3ci4c/S1c2ce
5bo8bo4bobobo6bo4b2obo3b2o$bo2bo3bo6bo12bo13bo$b2o15bo3bo2bob2o5b2o2bo
4bo3bo$2bo7bo2bo8bo4bo4b2o9bo4bo$2bobo2bobo8bo5bobo8bo5b3o$bo3bo6bo2bo
2bo4b2o8bo4bo2bo5b2o$b2obo10bo2bo3bo11bo2bo4bo2bo3bo$2o2bo7bo2bo7bo20b
o$o4bo7bo4b4o11bo2bo4bo$4bo8bobo5bo7bob2o3bo2bo2b2o2b2o$9b2obob2o3bo9b
o4bobo3bo$8bobo3bo7bo2bob2o2b2o3bo$6bob6o2bo4bo11bo7bo6bo$14b2o3bo5bob
o3bo6b2o8b2o$9bo11bo8bo6bo2bo4bo2bo$7bobo4bo8bo3bo12bo3bobo$4bobobo4bo
8b2o17bobo4bo$bo6b3o22bo9bobo$2bobo4b2o2b2obo11bo9bo2bo4bobo$8b2o4b2ob
o2bo6b2obo8bo$10bobo7bobobo2bobo5b2o5bo5bo$13bo4bo5bo5bobo14bobo$2bo4b
o5bo2bo13bo6bo11bo$bo2bo2bo7bobo11bo3bo7bo$7bo4bo2bo4bo8bo16bo2bo$o3bo
3b4o3bo6bobo4bobo6bo5bo$bo2bo12bo2bo2bobo16bob3o2bo$2bo11bo5b2o3bo2bo$
4bo15bo2bobo6bo2bo6bo2b2o$8bo2bo8b3o16bo2bo3bo$3b2o2bo3bo3bo3bo8bo7bo$
o13bo4bo6b3o9b2o3b2o2bo$3b2o12bo9bo9bo3bobo$2b2o10bo23bo4bobo$o6b2o3bo
2bo15bo11b2obo$b2o7bob3o21b2o2bobo2b2o$3bob2o2bo2bob2o3bo3b2obobo3bo
16bo$o3bo15bo8b2o3bo5bo6bo$o21b2o3b3o14bo2bo$obo2bo10bob2obo4bo7bo3bo
2b2o5bo$30bo2bo4bo7bobo$3bo23bo6bo3bobo$bo7bo4bobo4bobo6bo3bo3bo2b3obo
bo$17bo7bo7bo9b2o4bo$obo2bo8b2o4bo10bo6bo3bo3bo$o2bo6bo18bo2bo10b2obo$
4bo3bo2bo10bobo5bo9b3o3bobo$ob2o10bo8bobo4bo3b2obo$2bo5bobo7bo14b3o$3b
o4bo6b2o9bo3b3o2bo3bo3b2o3bo!

Edit: this exceeds 1M bits, but eventually settles to below 581K bits:

Code: Select all

x = 32, y = 32, rule = B2ce3ci4c/S1c2ce
4bo7b2o9bobo3bo$bo7bo7b2obo2b2o$6bo5bo2b2o6bo$o4bo2bo2b2o6bo6b2o2bo$o
2bo9bo3bo3bo9bo$6bo2bo5bo2bo3bo2b2o3bo$8bo2bo3bo2bobo4b2o$b2o3bo3b2o7b
ob2o2bo$4bo2bo8bo9bobo$2ob4o2bo2bo5bo4b2ob2o3bo$2b2o9b2o8bo3bob2o$bo3b
o4bo11b2o5bo$9bo2bo9bo3b2obo$o4bobo3bo7bo3bo5bo$4bo9b2obo3bo3bo4b2o$3b
o7bo8bo5bo3bo$2bo10b3o9bo2bo$4b2o11bo4bo2bobo2bo$o9b3o2bobo3b2o6bobo$
8bo2bo5bo12b2o$19bo3bo$6bo5bo2bo4b2o2b3o3bo$15b2o5bo7bo$o2bo3bo10bobob
obo$2bobo5b3o4bo12bo$6bo8b2o7bobo$ob3obo21bo2bo$bo7bo5bob2o5bo2b3o$6bo
2bo7bo10bo$2bo2bo2bo12bo8b2o$9bo2bobo7bo$2bobo3bob3o3bo4bobo5bo!

[silversmith]

This is what the pattern looks like after 350K steps, with a population of 146M.

ekspolsion.png (14.16 KiB) Viewed 695 times

[CasperWen8805181]

Can someone please make this extensible pulsar work? I'm so close!!!

Code: Select all

x = 123, y = 123, rule = B3/S234e
4bo113bo$4bo4b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o4bo$4b2o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b2o$8bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo$3o2b2obo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bob2o2b3o$2bobobobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobobo$4b2o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b2o2$3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o
$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b
2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b
2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o2$4b2o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b2o$2bobobobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobobo
$3o2b2obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bob2o2b3o$8bo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo$4b2o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b2o
$4bo4b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o4bo$4bo113bo!

[NimbleRogue]

What is the highest period of nonadjustable ship in a nonexplosive rule where the ship does not show up(or shows up incredibly rarely) in natural or seminatural soups?
I'm specifically asking because of this oddly rare 2c/325o

Code: Select all

x = 5, y = 19, rule = B3-k4ceyz5cik6n7e/S2-c3-anry4ceijkrw5-aik6-e7e8
bobo$5o$2ob2o$5o$2ob2o$b3o$bobo$b3o$bobo$b3o$2ob2o$b3o$bobo$b3o$bobo$
5o$2ob2o$b3o$b3o!

[confocaloid]

What is the highest period of nonadjustable ship in a nonexplosive rule where the ship does not show up(or shows up incredibly rarely) in natural or seminatural soups?

This 179P83876H41938V0 may or may not qualify, depending on your preferred definitions:

Code: Select all

#C https://github.com/AforAmpere/sssss/tree/master/data
#C 179, B2-an3-eiry4ceqt5eijn6-in/S1c2n3ey4ejtw5eijnq6-n78, 41938, 0, 83876, 4bob2o$6b3o$o4b3o$6b3o$4bob2o98$185bo$186b2o5bo$183bo7bobobo$181bobo2b4ob5obo4bo2bo$178bobo3b4ob9ob6o$178bobob23obo$176b3ob26o$177bo2b25obo$176b2o2b9o7bob2ob4o$177b2o4b4o3bo8bo2bo2bo$183b3o11bo$175bo5bo3bo$182bo3bo$185bo!
x = 207, y = 116, rule = B2-an3-eiry4ceqt5eijn6-in/S1c2n3ey4ejtw5eijnq6-n78
4bob2o$6b3o$o4b3o$6b3o$4bob2o98$185bo$186b2o5bo$183bo7bobobo$181bobo2b
4ob5obo4bo2bo$178bobo3b4ob9ob6o$178bobob23obo$176b3ob26o$177bo2b25obo$
176b2o2b9o7bob2ob4o$177b2o4b4o3bo8bo2bo2bo$183b3o11bo$175bo5bo3bo$182b
o3bo$185bo!

It did not appear from any of approx. 2.5M soups in b2-an3-eiry4ceqt5eijn6-ins1c2n3ey4ejtw5eijnq6-n78/C1.

[confocaloid]

What is the highest possible number of distinct strict still lives existing in one two-state isotropic CA rule with range-1 Moore neighbourhood, excluding CA rules with infinitely many distinct strict still lives?

I think it is at least 5:

Code: Select all

x = 21, y = 3, rule = B2-ae34-e5678/S012c3a
4bo4bo4bo4b2o$o3bo3bo4bobo3b2o$14bo!

Actually the question is more about which finite sets of strict SLs are possible (so e.g. rules with a different set of 5 strict SLs would be interesting too).

[Haycat2009]

Can every CA with a gun, duplicator, eater and 90 degree reflector be proven Turing-complete via a computer?

[Haycat2009]

Can someone please make this extensible pulsar work? I'm so close!!!

Code: Select all

x = 123, y = 123, rule = B3/S234e
4bo113bo$4bo4b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o4bo$4b2o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b2o$8bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo$3o2b2obo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bob2o2b3o$2bobobobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobobo$4b2o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b2o2$3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o
$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b
2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b
2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o2$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$b2o3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo
bo3bobo3b2o$b2o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b2o$b2o3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3b2o$3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o2$4b2o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b2o$2bobobobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobobo
$3o2b2obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bob2o2b3o$8bo3bobo3bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo$4b2o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b2o
$4bo4b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o4bo$4bo113bo!

You can turn it to scrubber agar by adding covers to the corners and snakes to the edges.

[b-engine]

I am not sure whether this belongs here, but nobody has answered. Can every rule with a 90 degree ref, eater, duplicator and gun with compatible period be proven Turing-complete using something like the 8-bit programmable computer?

I've made another ruletable just for this. I bet that it's universal.

Code: Select all

x = 11, y = 16, rule = SEDR
2.C6.C$.C8.C8$.2C$C9.C$CBAC$.2C2$8.C.C$9.C!

@RULE SEDR
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3}
var a2 = {0,1,2,3}
var a3 = {0,1,2,3}
var a4 = {0,1,2,3}
var a5 = {0,1,2,3}
var a6 = {0,1,2,3}
var a7 = {0,1,2,3}
var a8 = {0,1,2,3}
var b1 = {0,3}
var b2 = {0,3}
0,a1,b1,1,b2,a2,a3,a4,a5,1
0,a1,3,1,2,a2,a3,a4,a5,1
1,a1,a2,a3,a4,a5,a6,a7,a8,2
2,a1,a2,a3,a4,a5,a6,a7,a8,0

Well, you don't need a reflector, as a splitter and an eater can reflect a spaceship. And a gun can been built using only splitters and eaters.

[azulavoir]

What's the fewest amount of Hensel survival transitions and/or lack of birth transitions needed to make an indestructible structure that can fence in any reaction?

[Period1GliderGun]

What's the fewest amount of Hensel survival transitions and/or lack of birth transitions needed to make an indestructible structure that can fence in any reaction?

Probably S2cn, as long as the rule doesn't have B2en3ekqy4q.