Thread for basic non-CGOL questions

[ThePlayzr]

Fair enough, then.

This rule supports the OWSS, because of this, is this rule notable? or any variant of it? Although, it is 4c/8 instead of 2c/4.

Code: Select all

x = 0, y = 0, rule = B3-ceqr4/S2eik3-q
bo5bo$o$o6bo$7o!

No. There are tons of other rules that supports this 7WSS (and in some cases infinite family of xWSSes).

[islptng]

What are the requirements for a 2-state Moore isotropic rule where at least one spaceship exists?

[b-engine]

What are the requirements for a 2-state Moore isotropic rule where at least one spaceship exists?

At least two transitions:

Code: Select all

#R B2ae/S
b2o$o2bo!

[ThePlayzr]

is this rule 'life without Tubs' notable? In this rule, the tub is not stable, and becomes a traffic light after 8 generations, 7 if you count the frame with a dot spark in the middle.

Code: Select all

 x = 0, y = 0, rule = B34e/S23
24bo11b$22bobo11b$12b2o6b2o12b2o$11bo3bo4b2o12b2o$2o8bo5bo3b2o14b$2o8b
o3bob2o4bobo11b$10bo5bo7bo11b$11bo3bo20b$12b2o!

[silversmith]

is this rule ... notable? In this rule, ...

What is in a rule doesn't have much to do with if a rule is "notable", if one can even call a specific rule notable. If you are wondering if the rule will be popular, I don't know, and I doubt anyone else does. The closest question I can answer is whether one should post in an existing thread, or make a entire thread for a rule.

In order to organize the forum, my rule of thumb is "Will I and others write several posts worth of text about this topic?".

• If no, where what I want to say can fit in a couple posts, I post it to a general thread, as you did.
• If yes, then I would consider making a dedicated thread for the topic.

The purpose of all this is to limit the number of threads with just one or two posts.

[Resu]

Why are so many rule not explosive in asymmetrical patterns but very explosive in symmetrical patterns? e.g., this:

Code: Select all

x = 6, y = 1, rule = B2c34e5c6e/S23-jr4e5e
6o!

[silversmith]

Why are so many rule not explosive in asymmetrical patterns but very explosive in symmetrical patterns?

I think there are a few reasons, but the main one from my perspective is that the conditions which cause those patterns to expand (B2e, B2c, B3a, or B3i) are also symmetric. When a rule is frothy and chaotic, how much a pattern expands depends mostly on the probability of these conditions appearing, expanding the pattern. Since symmetric conditions occur more often in symmetric patterns, there are simply more chances for the pattern to expand. Then, any rule near the threshold can have enough expansion transitions to explode when symmetric but not enough when asymmetric.

[islptng]

What's this pattern's growth rate?

Code: Select all

x = 3071, y = 280, rule = B2cik3-cijn4cknqr5-anqy6ekn7/S1c2acn3-aijq4cjktw5ejny6aen7c8
253bo$bo250bobo$obo250bo$bo32$50bo44bo44bo44bo$49bobo42bobo42bobo42bob
o$50bo44bo44bo44bo3$87bo44bo44bo47bo$86bobo42bobo42bobo45bobo$48bo31bo
6bo5bo31bo6bo5bo31bo6bo5bo34bo6bo$47bobo29bobo10bobo29bobo10bobo29bobo
10bobo32bobo$48bo31bo12bo31bo12bo31bo12bo34bo$28bo$27bobo$28bo$72bo44b
o44bo44bo$71bobo42bobo42bobo42bobo$42bo29bo44bo44bo44bo$41bobo$26bo8bo
6bo$25bobo6bobo17bo44bo44bo44bo$26bo8bo17bobo42bobo42bobo42bobo$54bo6b
o12bo24bo6bo12bo24bo6bo12bo24bo6bo12bo$60bobo10bobo29bobo10bobo29bobo
10bobo29bobo10bobo$61bo12bo31bo12bo31bo12bo31bo12bo137$35bo12bo31bo12b
o31bo12bo31bo12bo$34bobo10bobo29bobo10bobo29bobo10bobo29bobo10bobo$35b
o12bo6bo24bo12bo6bo24bo12bo6bo24bo12bo6bo$54bobo42bobo42bobo42bobo$55b
o44bo44bo44bo3$37bo44bo44bo44bo$36bobo42bobo42bobo42bobo$37bo44bo44bo
44bo4$26bo34bo12bo31bo12bo31bo12bo31bo12bo8bo55bo12bo12bo12bo12bo12bo
12bo12bo7bo6bo6b2o12b2o8b2o16bo9bo8b2o11b2o11b2o11b2o11b2o11b2o11b2o
11b2o6b2o5b2o8bo10bo21bo19bo16bo9b2o11b2o11b2o11b2o11b2o11b2o11b2o11b
2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b
2o11b2o11b2o11b2o11b2o11b2o11b2o6b2o5b2o6bo13bo9bo16b2o8b2o8bo12bo12bo
12bo12bo12bo12bo12bo7bo6bo8b2o9b2o20b2o18b2o15b2o9bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo
8b2o9b2o20b2o16bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo
10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo7bo6bo17bo8b2o$
25bobo32bobo10bobo29bobo10bobo29bobo10bobo29bobo10bobo6bobo53b2o11b2o
11b2o11b2o11b2o11b2o11b2o11b2o6b2o5b2o7bo13bo9bo15b2o8b2o9bo12bo12bo
12bo12bo12bo12bo12bo7bo6bo7b2o9b2o20b2o18b2o15b2o10bo12bo12bo12bo12bo
12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo12bo
12bo12bo12bo12bo12bo12bo7bo6bo5b2o12b2o8b2o17bo9bo7b2o11b2o11b2o11b2o
11b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo19bo16bo8b2o11b2o11b2o11b2o6b2o
5b2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o
11b2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo15b2o
11b2o11b2o11b2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo
21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b
2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o11b
2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo15b2o11b2o
11b2o11b2o6b2o5b2o9bo10bo21bo15b2o11b2o11b2o11b2o6b2o5b2o9bo10bo21bo
15b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o
5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o5b2o9b2o6b2o5b2o16b2o
9bo$19bo6bo34bo5bo6bo31bo5bo6bo31bo5bo6bo31bo5bo6bo8bo55bo12bo12bo12bo
12bo12bo12bo12bo7bo6bo6b2o12b2o8b2o16bo9bo8b2o11b2o11b2o11b2o11b2o11b
2o11b2o11b2o6b2o5b2o8bo10bo21bo19bo16bo9b2o11b2o11b2o11b2o11b2o11b2o
11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o
11b2o11b2o11b2o11b2o11b2o11b2o11b2o11b2o6b2o5b2o6bo13bo9bo16b2o8b2o8bo
12bo12bo12bo12bo12bo12bo12bo7bo6bo8b2o9b2o20b2o18b2o15b2o9bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo12bo7bo6bo8b2o9b2o20b2o16bo12bo12bo
12bo7bo6bo8b2o9b2o20b2o16bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo
6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo6bo10bo7bo6bo
17bo8b2o$18bobo45bobo42bobo42bobo42bobo$19bo47bo44bo44bo44bo3$59bo44bo
44bo66bo$58bobo42bobo42bobo64bobo$59bo44bo44bo66bo36$254bo$196bo56bobo
$195bobo56bo$189bo6bo$188bobo$189bo20$2bo$bobo$2bo!

Edit: This is O(n-sqrt(n)), I guess.

[H. H. P. M. P. Cole]

What's this pattern's growth rate?

Code: Select all

RLE

Looks like linear growth to me.

[WhiteHawk]

What's this pattern's growth rate?

Code: Select all

RLE

Looks like linear growth to me.

It's actually quadratic. Watch for a long enough time and it become apparent

[H. H. P. M. P. Cole]

It's actually quadratic. Watch for a long enough time and it become apparent

Oh, you're right. I just did a pop-plot until 1048576 steps.

Code: Select all

#CXRLE Pos=-39,-503
x = 560, y = 522, rule = B2cik3-cijn4cknqr5-anqy6ekn7/S1c2acn3-aijq4cjktw5ejny6aen7c8
3bo3b3o3b3o3b3o5bo$2b2o2bo5bo5bo3bo3b2o$bobo2bo5bo9bo2bobo$o2bo2b4o2b
4o5bo2bo2bo11bo498bo$5obo3bobo3bo3bo3b5o10bo495bo2bo$3bo2bo3bobo3bo2bo
7bo11bo494b2ob2o$3bo3b3o3b3o2b5o4bo11bo494b6o$39bo494b6o$39bo494b5o$
39bo494b5o$39bo492bob5o$39bo491b8o$39bo491b8o$39bo490b9o$39bo490b6ob2o
$39bo489b7obo$39bo489b6o2bo$39bo485b2ob7o$39bo485b2ob6o$39bo485b9o$39b
o485b9o$39bo485b5ob2o$39bo485b5obo$39bo484b6o$39bo483b7o$39bo482b8o$
39bo481b9o$39bo480b7ob2o$39bo480b7obo$39bo480b6o2bo$39bo477bob7o$39bo
477bob6o$39bo476b9o$39bo476b8o$39bo476b5ob2o$39bo476b5ob2o$39bo475b6o$
39bo474b7o$39bo474b7o$39bo471b10o$39bo471b7ob2o$39bo471b7o2bo$39bo471b
5obo$39bo468bo2b5o$39bo468bo2b5o$39bo468b8o$39bo467b8o$39bo467b5ob2o$
39bo466b6o2bo$39bo466b6o2bo$39bo465b7o$39bo462b2ob7o$39bo462b10o$39bo
462b8obo$39bo462b7o$39bo462b5obo$39bo459bo2b5o$39bo459bo2b5o$39bo459b
7o$39bo459b7o$39bo458b5o2bo$39bo457b6o2bo$39bo457b6o2bo$39bo454bob7o$
39bo453b10o$39bo453b9o$39bo453b7o$39bo453b7o$39bo453b5obo$39bo450b2ob
5o$39bo450b2ob5o$39bo450b8o$39bo449b6ob2o$39bo449b6obo$39bo448b6o2bo$
39bo448b6o2bo$39bo444b2ob7o$39bo444b9o$39bo444b9o$39bo444b8o$39bo444b
5obo$39bo444b5o$39bo441b2ob5o$39bo441b2ob5o$39bo441b8o$39bo440b6ob2o$
39bo439b7obo$39bo439b6o2bo$39bo439b5o$39bo436b8o$39bo436b8o$39bo435b8o
$39bo435b8o$39bo435b5o$39bo435b5o$39bo433bob5o$39bo432b8o$39bo431b6ob
2o$39bo431b6ob2o$39bo430b6o$39bo430b5o$39bo427bo2b5o$39bo427b2ob5o$39b
o427b7o$39bo426b6obo$39bo426b5o$39bo426b5o$39bo424bob5o$39bo424bob5o$
39bo422b6ob2o$39bo422b6o$39bo421b6o$39bo421b5o$39bo418bo2b5o$39bo418b
2ob5o$39bo418b5obo$39bo418b5obo$39bo418b4o$39bo417b5o$39bo415bob5o$39b
o415b7o$39bo414b5o2bo$39bo413b6o$39bo413b5o$39bo412b6o$39bo410bob5o$
39bo409b2ob5o$39bo409b5ob2o$39bo409b5obo$39bo409b5o$39bo408b6o$39bo
407b6o$39bo406b7o$39bo405b6o$39bo404b5o$39bo404b5o$39bo404b5o$39bo401b
ob5o$39bo400b2ob2ob2o$39bo400b5ob2o$39bo400b5o$39bo400b5o$39bo400b5o$
39bo398b7o$39bo397b5obo$39bo396b5o$39bo396b5o$39bo395b5o$39bo395b5o$
39bo392bo2b5o$39bo392b5obo$39bo391b5o$39bo391b5o$39bo391b5o$39bo391b5o
$39bo389b4ob2o$39bo387b5o2bo$39bo387b5o$39bo387b5o$39bo386b5o$39bo383b
o2b5o$39bo383bob6o$39bo383b5o$39bo383b4o$39bo383b4o$39bo382b5o$39bo
380bob5o$39bo379b4o2bo$39bo378b5o$39bo378b5o$39bo378b5o$39bo377b6o$39b
o374b8o$39bo374b5o$39bo374b5o$39bo374b5o$39bo373b5o$39bo372b6o$39bo
370b5ob2o$39bo370b5o$39bo370b5o$39bo369b5o$39bo369b5o$39bo366b2ob2ob2o
$39bo366b5o$39bo365b5o$39bo365b5o$39bo365b5o$39bo363bob5o$39bo361b5obo
$39bo361b5o$39bo361b5o$39bo361b5o$39bo358bob6o$39bo358bob5o$39bo357b5o
$39bo357b5o$39bo357b5o$39bo356b5o$39bo354b7o$39bo353b5o$39bo352b6o$39b
o352b5o$39bo352b5o$39bo349b2ob2ob2o$39bo349b5o$39bo348b5o$39bo348b5o$
39bo348b5o$39bo346b7o$39bo345b5obo$39bo345b4o$39bo344b5o$39bo344b5o$
39bo341bob5o$39bo340b5ob2o$39bo340b5o$39bo340b5o$39bo340b5o$39bo338b6o
$39bo337b5obo$39bo336b5o$39bo336b5o$39bo336b4o$22b7o10bo335b5o$25bo13b
o332b8o$24bo14bo332b5o$23bo15bo332b4o$22b7o10bo331b5o$39bo331b5o$23b5o
11bo328b2ob5o$22bo5bo10bo328b4o$22bo5bo10bo327b5o$22bo5bo10bo327b5o$
23b5o11bo327b5o$39bo325bob5o$39bo324b4o2bo$22bo5bo10bo323b5o$22b7o10bo
323b5o$22bo5bo10bo323b5o$39bo320bob5o$39bo319b5o$22bo16bo319b5o$22bo
16bo319b5o$22b7o10bo318b5o$22bo16bo316bob2ob2o$22bo16bo315b5o$39bo315b
5o$23b6o10bo315b5o$22bo2bo13bo314b5o$22bo2bo13bo311bob4obo$22bo2bo13bo
311b5o$23b6o10bo311b5o$39bo310b5o$28bo10bo310b5o$28bo10bo307b8o$28bo
10bo307b5o$28bo10bo307b4o$22b7o10bo307b4o$39bo306b5o$22b6o11bo303b5ob
2o$28bo10bo302b5o$28bo10bo302b5o$28bo10bo302b5o$22b6o11bo299b2ob5o$39b
o299b5obo$23b2o14bo298b5o$22bo2bo13bo298b5o$22bo2bo13bo298b5o$22bo2bo
13bo295b8o$22b7o10bo295b4o$39bo294b5o$23b5o11bo294b5o$22bo5bo10bo291bo
2b4o$22bo5bo10bo291b4o2bo$22bo5bo10bo290b5o$23b5o11bo290b5o$39bo290b5o
$23b2o14bo287b8o$22bo2bo13bo286b5o$22bo2bo13bo286b5o$22bo2bo13bo286b5o
$22b7o10bo284bob5o$39bo283b5obo$39bo282b5o2bo$39bo282b5o$39bo282b5o$
39bo279b7o$39bo278b5o$39bo278b5o$39bo278b5o$39bo277b5o$39bo274b8o$39bo
274b5o$39bo274b5o$39bo274b5o$39bo270bob6o$39bo270b5o2bo$39bo270b5o$39b
o270b5o$39bo267bob5o$39bo266b8o$39bo266b5o$39bo266b5o$39bo264b6o$39bo
263b7o$39bo263b4o2bo$39bo262b5o$39bo261b5o$39bo258b2ob5o$39bo258b5ob2o
$39bo258b5o$39bo258b5o$39bo256bob4o$39bo254b5ob2o$39bo254b5o$39bo254b
5o$39bo254b4o$39bo251b7o$39bo250b5o2bo$39bo250b5o$39bo250b4o$39bo247b
7o$39bo246b5o$39bo246b5o$39bo246b5o$39bo243b7o$39bo242b5ob2o$39bo242b
5o$39bo241b6o$39bo239b7o$39bo239b4o2bo$39bo238b5o$39bo238b5o$39bo235bo
2b5o$39bo234b5o2bo$39bo234b5o$39bo232bob5o$39bo231b2ob5o$39bo231b4o2bo
$39bo230b5o$39bo230b5o$39bo228b7o$39bo226b6ob2o$39bo226b5o$39bo226b5o$
39bo223b8o$39bo223b5o$39bo222b5o$39bo222b5o$39bo219b8o$39bo219b5ob2o$
39bo219b4o$39bo216b7o$39bo216b7o$39bo215b5o2bo$39bo215b4o$39bo212bob5o
$39bo211b8o$39bo211b5o$39bo211b5o$39bo207b8o$39bo207b5o2bo$39bo207b5o$
39bo207b5o$39bo204b7o$39bo204b4o2bo$39bo203b5o$39bo200bob6o$39bo200b7o
$39bo200b4o$39bo197bob5o$39bo196b2ob5o$39bo196b8o$39bo196b4o$39bo193b
7o$39bo192b8o$39bo192b5o$39bo192b5o$39bo188b8o$39bo188b8o$39bo188b5o$
39bo185b8o$39bo185b7o$39bo184b5o$39bo182bob5o$39bo181b8o$39bo181b5obo$
39bo181b4o$39bo178b7o$39bo177b8o$39bo177b5o2bo$39bo173b2ob5o$39bo173b
8o$39bo173b5o2bo$39bo171b7o$39bo170b7o$39bo170b4o2bo$39bo169b5o$39bo
166b8o$39bo166b4o2bo$39bo166b4o$39bo164b6o$39bo162b8o$39bo162b5o$39bo
159bo2b4o$39bo159b7o$39bo158b5o$39bo156bob5o$39bo155b8o$39bo155b4o$39b
o152b7o$39bo151b5ob2o$39bo151b5o$39bo149b6o$39bo147b8o$39bo147b5o$39bo
144b8o$39bo144b7o$39bo144b4o$39bo141b7o$39bo140b5ob2o$39bo140b5o$39bo
137b7o$39bo137b4o2bo$39bo136b5o$39bo134b7o$39bo133b5ob2o$39bo130bo2b4o
$39bo130b7o$39bo129b5o2bo$39bo127bob5o$39bo126b7o$39bo126b4o$39bo122b
8o$39bo122b8o$39bo121b6o$39bo120b6o$39bo119b4o$39bo119b4o$39bo115b8o$
39bo115b5ob2o$39bo112b7o$39bo111b6o$39bo109bob5o$39bo108b8o$39bo106bob
5o$39bo105b7o$39bo105b4ob2o$39bo103b6o$39bo101b8o$39bo101b4o$39bo98b7o
$39bo97b5o2bo$39bo94b8o$39bo94b4o2bo$39bo92bob4o$39bo91b7o$39bo89b6o$
39bo87b8o$39bo86b5o2bo$39bo84b7o$39bo83b5o2bo$39bo80b8o$39bo80b5ob2o$
39bo77b8o$39bo77b5obo$39bo73b8o$39bo71bob5ob2o$39bo70b8o$39bo68bob4ob
2o$39bo67b7o$39bo65bob4ob2o$39bo63b8o$39bo63b5obo$39bo60b7o$39bo57bob
5o2bo$39bo56b8o$39bo53b2ob5o2bo$39bo53b7o$39bo50b7o$39bo48bob7o$39bo
47b7o$39bo44b10o$39bo42b8o$39bo40b7o2bo$39bo38b6ob2o$39bo37b7o$39bo34b
7ob2o$39bo30b11o$39bo27bo2b8o$39bo27b7o$39bo24b10o$39bo21bo2b7o$39bo
18b10o2bo$39bo16b11o$39bo13b11o$39bo11b10o$39bo9b9o2bo$9bo4b3o3b3o5bo
10bo5bob8o2bo$8b2o3bo3bobo3bo3b2o10bo4b8ob2o$9bo7bobo2b2o2bobo10bob8ob
o$9bo5b2o2bobobobo2bo10b6o2bo$9bo7bob2o2bob5o9b501o$9bo3bo3bobo3bo4bo$
8b3o3b3o3b3o5bo8$37b3o188b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo
33b3o4bo4b3o3bo172bo4b3o5bo3b3o2b5ob5o2b3o$36bo3bo186bo3bobo5b2o2bobo
5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo21bo3bo2bobo2bo3bo3bo170b2o3bo3bo
3b2o2bo3bobo9bobo$36bo2b2o186bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobo
bo9bo4b4ob5o2b3o2b4o2b5obo3bobo3bobo2b2o3bo171bo3bo2b2o2bobo2bo3bobo8b
o2bo$36bobobo186bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo
3bo3bobo3bo8b3o8bobobo3bo171bo3bobobobo2bo3b3o3b3o4bo3b4o$36b2o2bo186b
o3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5obo3bo
7b2o2bo3bo171bo3b2o2bob5obo3bo5bo2bo4bo3bo$36bo3bo186bo3bobo5bo3bobo5b
o3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo7bo3bo7bo3bo3bo171bo3bo3bo
4bo2bo3bobo3bobo5bo3bo$37b3o188b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo
3bo10bo2b4o5b2o2b4ob4o9b3o9b3o3bo171b3o3b3o5bo3b3o3b3o2bo6b3o$317bo$
317bo!

[ec1263f3]

What's this pattern's growth rate?

Code: Select all

RLE

Looks like linear growth to me.

It's actually quadratic. Watch for a long enough time and it become apparent

No the population growth isn't quadratic. Just because it resembles a growing spiral, doesn't imply any specific population growth.
Even if you additionally count dead cells which were previously alive (the history envelope), there are only 476686 nonzero cells in generation 2^20, and there are only 1,531,169,434 nonzero cells in generation 2^30.
Looking at the actual mechanism by which the population grows confirms that it isn't quadratic.

[Resu]

Are there rule where all 3 eaters (viewtopic.php?f=12&t=3316&p=169974#p169974) are spaceships can can be eaten by a still-life glider?

[PK22]

If you look at the three spaceships given, there is no isotropic range-1 Moore rule where they can all coexist - the Catagolue pages show that, for example, the eater 1 spaceship requires S5q, but the eater 2 spaceship cannot function with S5q. There is therefore no way for them to all function as spaceships in a single rule, let alone all be eatable by a glider still life.

Something involving weighted neighbourhoods might be possible, but your question is probably only about INT range-1 Moore rules.
EDIT: Maybe? It might be difficult without weighted neighbourhoods, but there should exist a LTL rule that works. I know barely anything about either, though.

[Resu]

If you look at the three spaceships given, there is no isotropic range-1 Moore rule where they can all coexist - the Catagolue pages show that, for example, the eater 1 spaceship requires S5q, but the eater 2 spaceship cannot function with S5q. There is therefore no way for them to all function as spaceships in a single rule, let alone all be eatable by a glider still life.

Something involving weighted neighbourhoods might be possible, but your question is probably only about INT range-1 Moore rules.

Not really, I expected that range-1 moore neighborhood rules won't work, but does that mean a Larger-than-life rule could work?

[Citation needed]

Can this be really called "catalysis"? ColorfulGalaxy somehow called it "catalysis".

Code: Select all

#C Unusual Catalysis
x = 36, y = 38, rule = B2-ai3cj4cejr5y7/S02ik3aekn4ci5aeir7c8
o2$o3$30bobo2$7bo2$7bo5$14bo2$14bo5$21bo2$21bo5$28bo2$28bo2$3bobo3$35b
o2$35bo!

[ec1263f3]

Can this be really called "catalysis"? ColorfulGalaxy somehow called it "catalysis".

Code: Select all

#C Unusual Catalysis
x = 36, y = 38, rule = B2-ai3cj4cejr5y7/S02ik3aekn4ci5aeir7c8
o2$o3$30bobo2$7bo2$7bo5$14bo2$14bo5$21bo2$21bo5$28bo2$28bo2$3bobo3$35b
o2$35bo!

Descriptively, it appears that it can indeed be called "catalysis", because someone did (as you wrote).

Prescriptively, the part of the evolutionary sequence that happens after generation 43 and before generation 128 can be described as involving a transparent catalysis, because the square-shaped still life reappears in the same place and acts as a transparent catalyst:

Code: Select all

#C [[ STARTFROM 43 STOP 128 ]]
x = 96, y = 38, rule = B2-ai3cj4cejr5y7/S02ik3aekn4ci5aeir7c8
o59bo2$o59bo3$30bobo2$7bo59bo2$7bo59bo5$14bo59bo2$14bo59bo5$21bo59bo2$
21bo59bo5$28bo59bo2$28bo59bo2$3bobo3$35bo59bo2$35bo59bo!

[NimbleRogue]

In the rule with over 100 NRSS there is these 2 ships that fall one cell out of sync every 1/(25/826-24/793)=655018 generations. Because 655018=826*793 this is also the maximum time to fall out of sync for ships of period 793, and 826.

Code: Select all

x = 155, y = 66, rule = B2-ak3aknry4-aej5-aqr6-k7c/S1c2-cn3-aiqy4-aejnr5an6-n8
o2bo2bo5bo2bo2bo83bo2bo2bo5bo5bo3$6bo5bo95bo5bo5bo3$o2bo2bo5bo2bo2bo5b
o2bo2bo71bo2bo2bo5bo2bo2bo5bo2bo2bo3$o17bo5bo77bo17bo5bo3$o2bo2bo5bo2b
o2bo5bo2bo2bo71bo2bo2bo11bo5bo2bo2bo8$o2bo2bo5bo2bo2bo5bo2bo2bo71bo2bo
2bo5bo2bo2bo5bo2bo2bo3$o5bo11bo5bo83bo5bo5bo11bo3$o2bo2bo5bo2bo2bo5bo
2bo2bo5bo2bo2bo65bo5bo2bo2bo5bo2bo2bo5bo2bo2bo3$o5bo5bo11bo5bo5bo5bo
65bo11bo11bo5bo5bo3$o2bo2bo5bo2bo2bo5bo2bo2bo5bo2bo2bo65bo5bo2bo2bo5bo
2bo2bo5bo2bo2bo21$10bobo18bobo85bobo13bobo$bobo6b3o18b3o6bobo77bo15bo$
2bo38bo$102bobo47bobo$b3o36b3o59b3o47b3o$11bo20bo$10bobo18bobo86bo15bo
$bobo36bobo77bo15bo$o3bo34bo3bo59bo16bo15bo16bo$5o34b5o58bobo15bo15bo
15bobo$120bo15bo$120bo15bo$119bobo13bobo!

Is there a rule with nonadjustable ships with an even longer number of generations to fall one cell out of sync? What is the longest?

Edit: I just realized that this obelisk rule will beat this with it's 6c/140986307o, and 2c/257546100o, but it is against the spirit of the question

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x = 75, y = 73, rule = B2n3-cek4y5ciy6ae/S2aei3ejk4eijkrw5cnry6-e78
4bo66b3o$71bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o
$3bobo65bobo$3b3o65b3o$3bobo64b2ob2o$3b3o64b5o$3bobo65bobo$3b3o65b3o$
3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bo
bo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo64b2ob2o$3b3o64b5o$2b2o
b2o64bobo$2b5o64b3o$2b2ob2o64bobo$2b5o64b3o$3bobo65bobo$o2b3o2bo62b3o
$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3b
obo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o64b5o$3bobo
65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65b
obo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo
$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b3o65b3o$3bobo65bobo$3b
3o65b3o$3bobo65bobo$3b3o65b3o$3bobo64b2ob2o$3b3o64b5o$3bobo65bobo$3b3o
65b3o$71bobo$4bo66b3o$70b2ob2o$70b5o!

To fix this we can just divide the final value by the period of the ship with the higher period (1/(difference in speeds))/highest period
So the new value for the ships in the 100+NRSS rule is 793, and the value for the obelisk rule is .111

This rule is close with a 2c/2809o, and a 2c/2812o, but is only scores 468.166

Code: Select all

x = 33, y = 34, rule = B2n3-cery4ceqyz5ciq6aek7c/S2-c3-aiqr4-anqty5-ijkq6-ae7e8
bob3o26bo$b31o$bobobobobobobobobobobobobobobob2o$b31o$bob3o26bo25$2bo
10b2o$b29o$2obobobobobobobobobobobobobobobo$b29o$2bo10b2o!

[ThePlayzr]

I believe this is the smallest possible non-monotonic spaceship in any rule, is this true?

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
3o$bo!

[hotdogPi]

I believe this is the smallest possible non-monotonic spaceship in any rule, is this true?

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
3o$bo!

We have a whole collection of 3-cell spaceships in the 5S database, some of which are non-monotonic.

2-cell spaceships are impossible in isotropic 2-state rules because they must retain rotational symmetry.

[ThePlayzr]

I believe this is the smallest possible non-monotonic spaceship in any rule, is this true?

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
3o$bo!

We have a whole collection of 3-cell spaceships in the 5S database, some of which are non-monotonic.

2-cell spaceships are impossible in isotropic 2-state rules because they must retain rotational symmetry.

Can you list some examples of 3-cell non-monotonic spaceships or tell me how to access the 5S database?

[wildmyron]

Can you list some examples of 3-cell non-monotonic spaceships or tell me how to access the 5S database?

Most of the 3-cell spaceships slower than around c/3 are probably non-monotonic - especially the slower you get. You can find lots of them just browsing through the 5S thread. Some examples:

Code: Select all

#C c/4 orthogonal, 3 cells
x = 4, y = 1, rule = B2-ak3eiy/S123i6
2obo!

Code: Select all

#C c/7 orthogonal, 3 cells
x = 0, y = 0, rule = B2-an3kr4acr5acj6aik7e8/S1e2-ce3aey4akntz5airy6ak7e8
ob2o!

Code: Select all

#C 2c/9 orthogonal, 3 cells
x = 0, y = 0, rule = B2ce3a4t5iy7e/S01c2ak3ejr
ob2o!

You can query the 5S database by speed on this page: https://jedlimlx.github.io/gliderdb-searcher/

The latest up to date 5S database is hosted on GitHub and is maintained by AforAmpere.

[ThePlayzr]

Some examples:

Code: Select all

#C c/4 orthogonal, 3 cells
x = 4, y = 1, rule = B2-ak3eiy/S123i6
2obo!

I guess I was wrong. But, it appears to be the smallest non-monotonic spaceship in a rule without any b2 transitions.

[rabbit]

I guess I was wrong. But, it appears to be the smallest non-monotonic spaceship in a rule without any b2 transitions.

Here is a non-monotonic 3-cell spaceship in a rule with no B2 transitions, travelling at the speed of c/12 orthogonal:

Code: Select all

x = 3, y = 3, rule = B3/S02ac3
2bo$o$2bo!

It should also be possible with other shapes like bo$o$2bo! and o$bo$o!, the latter of which could be accomplished without S0 as well.

[ThePlayzr]

I guess I was wrong. But, it appears to be the smallest non-monotonic spaceship in a rule without any b2 transitions.

Here is a non-monotonic 3-cell spaceship in a rule with no B2 transitions, travelling at the speed of c/12 orthogonal:

Code: Select all

x = 3, y = 3, rule = B3/S02ac3
2bo$o$2bo!

It should also be possible with other shapes like bo$o$2bo! and o$bo$o!, the latter of which could be accomplished without S0 as well.

oh
follow up question: what is the slowest natural (at least 1% of objects) spaceship in any rule?