Thread for basic non-CGOL questions

[hotcrystal0]

What is Day&Night in this neighborhood?

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=178705#p178718
x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-203,255-271,B51-67,119-135,187-203,255-271,NW01010101010111551101015500550101115511010101010101
bo$b2o$2o!

[confocaloid]

Day & Night is usually defined as B3678/S34678. That does not distinguish between different neighbours and only counts how many of them are alive.

However, in this case you have to distinguish between orthogonal range-1 neighbours, diagonal range-1 neighbours, and range-2 neighbours:

[...] The weighted neighbourhood is isotropic range-2 "layer-totalistic", with the following weights:

Code: Select all

  1  1  1  1  1
  1 17 85 17  1
  1 85  0 85  1
  1 17 85 17  1
  1  1  1  1  1

[...]

Therefore, every "old way" birth/survival condition needs to be rewritten as a set of "new way" living conditions:

• the "old way" B3 becomes a set of birth conditions: { B51-67,119-135,187-203,255-271 }
• the "old way" B6 becomes { B238-254,306-322,374-390 }
• the "old way" B7 becomes { B323-339,391-407 }
• the "old way" B8 becomes { B408-424 }
• therefore, the "old way" birth conditions (B3678) become the "new way" birth conditions { B51-67,119-135,187-203,238-271,306-339,374-424 }
• likewise, the "old way" survival conditions (S34678) become the "new way" survival conditions { S51-84,119-152,187-220,238-288,306-356,374-424 }

Code: Select all

#C Day-and-Night-gun-and-antigun.rle
#C [[ THEME MCell ]]
#C
#C This is a period 400 rocket gun which demonstrates the symmetry of the
#C Day/Night rules, and how a signal can be sent across the border between
#C day and night regions.  Here a period 400 anti-gun destroys every other
#C rocket from a normal period 200 rocket gun.  Based on a reaction by
#C Dean Hickerson.
#C David Bell, April 2009
x = 107, y = 80, rule = R2,C0,S51-84,119-152,187-220,238-288,306-356,374-424,B51-67,119-135,187-203,238-271,306-339,374-424,NW01010101010111551101015500550101115511010101010101
87b2obob2o$76b2o9b7o9b2o$76b2o10b5o10b2o$75b4o8b7o8b4o$75b3obo7b7o7bob
3o$74b4obo7b7o7bob4o$74b4obo8b5o8bob4o$74b4obo8b5o8bob4o$75b3obo7b7o7b
ob3o$75b3obo8b5o8bob3o$74b4obo7b7o7bob4o$74b4obo8b5o8bob4o$74b4obo7b7o
7bob4o$75b3obo7b7o7bob3o$75b4o11bo11b4o$76b2o25b2o$76b2o25b2o$89bobo$
88bobobo$88b5o$89b3o$89b3o$88b5o$89b3o$87bob3obo$87b7o$88b5o$88b5o$89b
3o$89b3o$90bo$88bobobo$86b2ob3ob2o$86b9o$87b7o$3bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo7b9o$b80o3b13o$
b80o3bob9obo$82o3b11o$b8o3b2o3b65o3bob7obo$b6o12b62o7b5o$5o16b60o6b7o$
b4o16b61o6b5o$b6ob10ob62o8b3o$8o10b31o2b2o2b26o9bo$b46o4b2o4b25o$b46o
3bo2bo3b24o$49o2b2o2b26o$b81o$b80o$81o$b36ob8o2b34o$b3o2bo3b2obobo2b
11ob6o2b8o4b22o2b7o$4o14b4o2b2ob2ob2ob3o3bo2b3obo3bob4o3b13o2b7o$b4o
13b3obo8b2ob2o8b2o5bob4o3b22o$4o15b3o39b21o$b4o13b3obo8b2ob2o8b2o14b
21o$4o14b4o2b2ob2ob2ob3o3bo2b3obo9b2ob22o$b3o2bo3b2obobo2b11ob6o2b8o8b
obob22o$b36ob8o2bo2b4ob24o$50ob28o$b78o$b77o$78o$b76o$b76o$8o10b52o2b
4o$b6ob10ob46o2bo4b4o$b4o16b44o6b4o$5o16b43o7b4o$b6o12b45o3b2ob4o$b8o
3b2o3b45o5b2ob4o$62o9b2o$b59o5b4ob3o$b59o5b2ob2o3b2o$3bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo12b2o2b3o$70b2ob4o$71bob2o$70b
2o$70b2o!

What is Day&Night in this neighborhood?

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=178705#p178718
x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-203,255-271,B51-67,119-135,187-203,255-271,NW01010101010111551101015500550101115511010101010101
bo$b2o$2o!

What is the rulestring for Life in that weighted neighborhood?

I think removing the conditions B224, B229, B292, B294 results in another definition for CGoL

Code: Select all

x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-203,255-271,B51-67,119-135,187-203,255-271,NW01010101010111551101015500550101115511010101010101
bo$b2o$2o!
#C [[ ZOOM 4 ]]

[WhiteHawk]

Code: Select all

x = 29, y = 23, rule = B36n/S23
o$3o$3bo$2b2o11b2o11bo$15b2o9b3o$26bo$26bo4$bo$bobo$b3o$3bo6$16b2o$16b
obo$18bo$18b2o!

Fx77 works in the rule B36n/S23, but I couldn't find any *other* conduits currently known to work in this rule.

Is there a stable signal-turner which works in this rule?

[confocaloid]

[...] Fx77 works in the rule B36n/S23, but there are no conduits currently known [...]

Fx77 is already a conduit that is known to work in B36n/S23. Therefore there are currently known conduits.

I'm not aware of any Herschel conduits with output orientation L, Lx, R, or Rx that would work in that CA, though.

It might be possible to find an alien modification of R64, but I did not find anything obvious, and finding something non-obvious would go beyond basic questions.
There might be a B-heptomino-to-Herschel converter with output orientation F or Fx, which could be appended to HL79B (the first part of Lx138), but I did not find any known, and finding a new alien conduit goes beyond basic questions.

Code: Select all

x = 113, y = 33, rule = B36n/S23
27b2o$27bo$25b3o4$17bo$17b3o$8bo11bo$8b3o8b2o$11bo$10b2o$28bo81b2o$27b
o82b2o$32b2o$32b2o3$9bo$9bobo20b2obo$9b3o20b2ob3o60bo$11bo11b2o13bo59b
obo$23bo8b2ob2obo59b3o$24b3o6bobobo62bo$26bo6bo$32b2o$2b2o$3bo$3o$o$
110b3o$110bo$109b2o!
#C [[ THEME LifeHistory GRID ]]

[WhiteHawk]

How rare are pulsars in HoneyLife (B38/S238), compared to life/pedestrian life?

[confocaloid]

How rare are pulsars in HoneyLife (B38/S238)?

Doesn't the combination of /census/b38s238/C1/xp3 and /census/b38s238/C1 answer the question?

[WhiteHawk]

Is there a Pedestrian Life-compatible synthesis of the Snark somewhere, or for other near-life rules (Eightlife, 4diagonal, HoneyLife, etc.)?

EDIT: So close, and probably amenable. (it works perfectly in Conway++, and B3/S236i where the snark doesn't work)

Code: Select all

x = 137, y = 134, rule = B3/S238
21bo$12bobo7bo$obo10b2o5b3o$b2o10bo$bo5$24bo$22bobo110bo$23b2o109bo$134b
3o$113bo$112bo$112b3o$24bo$25bo$23b3o$132bo$130b2o$131b2o40$63bobo$63b
2o$64bo4$51bo$52bo$50b3o$55b2o$54bobo$56bo4$64b2o$63bobo$65bo19bo$84b
2o$84bobo3$68b2o$68bobo$45bo22bo$45b2o$44bobo16$18b2o$19b2o15b3o$18bo
19bo$37bo4$8b3o$10bo$9bo$24b3o$26bo$25bo13$19b2o$18bobo$20bo$131b3o$131b
o$132bo!

[confocaloid]

For many similar questions, one can do the following:

1. Check the existing synthesis from Catagolue. It might work as is:

   Code: Select all

   x = 336, y = 49, rule = Life_delta_S4c_v1
   126.A$124.2A$125.2A11$174.A$174.A.A$174.2A$170.2A$169.A2.A62.A$170.2A
   62.A$118.A115.3A$116.A.A110.A$117.2A4.A103.A.A$121.2A105.2A$27.A94.2A
   110.2A$27.A.A54.A148.2A$27.2A54.A96.2A40.2A11.A36.2A51.2A$83.3A94.A.A
   39.A.A47.A.A50.A.A$78.A.A101.A41.A49.A4.2A46.A4.2A$79.2A48.A7.2A39.4A
   .2A3.2A30.4A.2A3.2A38.4A.2A2.A2.A40.4A.2A2.A2.A$72.3A4.A49.A6.A.A39.A
   2.A.A.A.A.A30.A2.A.A.A.A.A38.A2.A.A.A.A.2A40.A2.A.A.A.A.2A$129.A6.A
   44.A.A.A.A35.A.A.A.A43.A.A.A.A46.A.A.A.A$26.A33.2A54.2A17.2A45.2A.A.A
   36.2A.A.A44.2A.A.A47.2A.A.A$24.2A34.2A54.2A68.A41.A8.3A38.A52.A$25.2A
   205.2A3.A$231.A.A4.A$74.2A54.2A49.2A40.2A8.A39.2A51.2A$74.2A54.2A49.
   2A40.2A48.2A51.2A$25.A$25.2A$24.A.A295.A$.2A310.2A5.A.A$A.A271.A39.2A
   5.2A2.2A$2.A269.A.A38.A12.2A$273.2A50.A$329.2A$329.A$275.2A53.3A$276.
   2A54.A$275.A!
   

2. If it fails, check which stages fail (if multistage incremental), and try to fix them.
3. Check the history of improvements (old syntheses). Some of them might work where newer syntheses fail.
4. Check Niemiec's glider synthesis database (lifesrch). Check octo3g/octohash/octo3obj databases for active objects. Some of that might remain functional.
5. Tutorials/Glider syntheses

[vilc]

Is there a Pedestrian Life-compatible synthesis of the Snark somewhere, or for other near-life rules (Eightlife, 4diagonal, HoneyLife, etc.)?

If the recipe that you have is very close to working, all you are need is some replacement reactions. Here you only needed to replace a group of three gliders, so spark_search.py was particularly well suited.

Code: Select all

x = 336, y = 72, rule = B3/S238
126bo$124b2o$125b2o9$206bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2$
174bo$174bobo29bo38bo$174b2o$170b2o$169bo2bo33bo28bo9bo$170b2o62bo$
118bo115b3o$116bobo87bo22bo15bo$117b2o4bo103bobo$121b2o105b2o$27bo94b
2o82bo27b2o9bo$27bobo54bo148b2o$27b2o54bo96b2o40b2o11bo36b2o51b2o$83b
3o94bobo23bo15bobo20bo26bobo50bobo$78bobo101bo41bo49bo4b2o46bo4b2o$79b
2o48bo7b2o39b4ob2o3b2o30b4ob2o3b2o38b4ob2o2bo2bo40b4ob2o2bo2bo$72b3o4b
o49bo6bobo39bo2bobobobobo16bo13bo2bobobobobo13bo24bo2bobobobob2o40bo2b
obobobob2o$129bo6bo44bobobobo35bobobobo43bobobobo46bobobobo$26bo33b2o
54b2o17b2o45b2obobo36b2obobo44b2obobo47b2obobo$24b2o34b2o54b2o68bo19bo
21bo8b3o5bo32bo52bo$25b2o205b2o3bo$231bobo4bo$74b2o54b2o49b2o23bo16b2o
8bo11bo27b2o51b2o$74b2o54b2o49b2o40b2o48b2o51b2o$25bo$25b2o179bo38bo$
24bobo295bo$b2o310b2o5bobo$obo203bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo28bo39b2o5b2o2b2o$2bo269bobo38bo12b2o$273b2o50bo$329b2o$329bo$275b
2o53b3o$276b2o54bo$275bo2$210bo$208b2o$209b2o2$249bo$247b2o$207bobo2bo
bo33b2o$208b2o2b2o30b2o$208bo4bo29bo2bo$202b2o28b2o10b2o$202bobo27bobo
$204bo29bo4b2o$200b4ob2o3b2o18b4ob2o2bo2bo$200bo2bobobobobo18bo2bobobo
bob2o$203bobobobo23bobobobo$204b2obobo24b2obobo$208bo29bo$219b2o$219bo
bo$203b2o5b3o6bo13b2o$203b2o7bo20b2o$211bo!

spark_search.py input pattern :

Code: Select all

x = 55, y = 10, rule = B3/S238History
2.C$C2.2C45.4B$C.3C6.2A36.2B2AB$.3C6.A.A28.6B2.BABAB$10.A30.3B2A4BA3B
$3.2A3.2A.4A26.BA2BA2B2A.4A$3.A.A.A.A.A2.A26.B2ABABA.A.A2.A$.A3.A.A.A
.A29.4BABA.A.A$5.A.A.2A34.ABA.2A$6.A39.A!

Parameters for finding the reaction :
Direction "S" [SE might also turn out interesting results here] ; Delay : 2 [increase this if you want cleaner partials] ; Cell increase : 1 ; Offset 40 ; Final pop : 0 [set this to 31 if you only want clean results]; Filename : "3g" [always check "2g" first] ; Symmetries : default

[WhiteHawk]

If the recipe that you have is very close to working, all you are need is some replacement reactions. Here you only needed to replace a group of three gliders, so spark_search.py was particularly well suited.

Code: Select all

Fixed some small technical problems with the synthesis above and Eightlife Snark synthesis is ready to go (24 gliders).

Code: Select all

x = 394, y = 288, rule = B3/S238
126bo$124b2o$125b2o52bo$177b2o$178b2o4$173b2o$173b2o$330b2o51b2o$330b
obo50bobo$332bo4b2o46bo4b2o$328b4ob2o2bo2bo40b4ob2o2bo2bo$182bo145bo2b
obobobob2o40bo2bobobobob2o$180b2o149bobobobo46bobobobo$164bo16b2o51bo
97b2obobo47b2obobo$162bobo67b2o102bo52bo$163b2o68b2o$118bo48b2o$116bo
bo47bo2bo124bo36b2o51b2o$117b2o4bo43b2o123b2o37b2o51b2o$121b2o51b3o54b
obo2bobo54b2o$27bo94b2o108b2o2b2o51b2o$27bobo54bo147bo4bo50bo2bo88bo$
27b2o54bo96b2o44b2o49b2o10b2o80b2o5bobo$83b3o94bobo43bobo48bobo52bo39b
2o5b2o2b2o$78bobo101bo45bo50bo4b2o44bobo38bo12b2o$79b2o48bo7b2o39b4ob
2o3b2o34b4ob2o3b2o39b4ob2o2bo2bo43b2o50bo$72b3o4bo49bo6bobo39bo2bobob
obobo34bo2bobobobobo39bo2bobobobob2o99b2o$129bo6bo44bobobobo39bobobob
o44bobobobo102bo$26bo33b2o54b2o17b2o45b2obobo40b2obobo45b2obobo48b2o53b
3o$24b2o34b2o54b2o68bo45bo50bo50b2o54bo$25b2o216b2o88bo$243bobo$74b2o
54b2o49b2o44b2o5b3o6bo34b2o$74b2o54b2o49b2o44b2o7bo41b2o$25bo209bo$25b
2o$24bobo$b2o$obo$2bo11$139b2o$139bobo$139bo49$296bo$294b2o$295b2o2$286b
o$284b2o$285b2o4$167bobo86bo31bobo$168b2o85bo32b2o$168bo86b3o31bo6$150b
o113bo$148bobo111b2o$149b2o112b2o$163bo$161bobo$162b2o75bo$239bobo$160b
o78b2o$158bobo$159b2o15$184bobo$185b2o$185bo50bo$236bobo$236b2o9$246b
o$245bo$245b3o$210bobo$211b2o$211bo9$224bo$224bobo$224b2o6$223bo$221b
2o$222b2o4$222bo$222b2o$221bobo$198b2o$197bobo$199bo30$253bo$252b2o$252b
obo17$295b2o$295bobo$170b3o122bo$172bo$171bo12$141b2o$142b2o9b2o6b2o$
141bo12b2o6b2o$153bo7bo25$125b2o$126b2o$125bo!

Now what to do about the fact that the main life synthesis for 31.4 doesn't even produce 31.4 in Pedestrian Life?


EDIT: Pedestrian Life synth based on vilc's synthesis completion costing 29 gliders (probably reducible).

Code: Select all

x = 426, y = 31, rule = B38/S23
271bo$269b2o$270b2o2$bo12bo316bo$2bo10bo315b2o$3o10b3o131bo120bobo2bo
bo54b2o$146bo4bobo72b2o41b2o2b2o51b2o34b2o51b2o$53b2o38b2o38b2o11b3o2b
2o30b2o41bobo40bo4bo50bo2bo33bobo50bobo$18b2o33bobo2b2o33bobo37bobo16b
o30bobo42bo34b2o49b2o10b2o36bo4b2o46bo4b2o$2o16bobo34bo3bo35bo39bo49b
o38b4ob2o3b2o27bobo48bobo43b4ob2o2bo2bo40b4ob2o2bo2bo$b2o15bo32b4ob3o
3b2o27b4ob2o33b4ob2o43b4ob2o36bo2bobobobobo29bo50bo4b2o37bo2bobobobob
2o40bo2bobobobob2o$o50bo2bobo5bobo26bo2bobo34bo2bobobo6b2o34bo2bobobo
b2o35bobobobo27b4ob2o3b2o39b4ob2o2bo2bo38bobobobo46bobobobo$6b2o4b2o40b
obo5bo31bobo37bobobo5b2o38bobobobo37b2obobo27bo2bobobobobo39bo2bobobo
bob2o39b2obobo47b2obobo$7b2o2b2o42bo39bo3bo4b2o29b2ob2o6bo38b2obobo41b
o31bobobobo44bobobobo46bo52bo$6bo6bo85b2o2b2o84bo5bo69b2obobo45b2obob
o$98bobo4bo89bobo71bo50bo$148b2o45b2o83b2o81b2o51b2o$147b2o131bobo80b
2o51b2o$149bo75b2o37b2o5b3o6bo34b2o$192b3o3b3o23bobo37b2o7bo41b2o$194b
o3bo27bo45bo139bo$193bo5bo31b2o170b2o5bobo$231bobo130bo39b2o5b2o2b2o$
231bo130bobo38bo12b2o$363b2o50bo$419b2o$419bo$365b2o53b3o$366b2o54bo$
365bo!

[vilc]

Now what to do about the fact that the main life synthesis for 31.4 doesn't even produce 31.4 in Pedestrian Life?

In this case, the reaction is very specific and lucky. If you watched it carefully, you may have noticed that the lom sequence (the core of the reaction) breaks in Pedestrian Life and makes the main reaction unusable. It is even worse than this : if you stop the synthesis a few ticks before the still-life forms and try to run it in Pedestrian Life, it will still fail because of an unwanted birth in a critical region. If a modification of this component can be made to work, it will be highly nontrivial.
But this is not an unsolvable problem because 31.4 is a "nicely looking" still-life from the synthesis perspective : it has many hooks, tails or easily identifiable parts, which makes it easy to reduce into objects for which we know a synthesis.
Working backwards and trying obvious ways to simplify the still-life quickly leads to a synthesis :

Code: Select all

x = 201, y = 19, rule = B38/S23
bo12bo$2bo10bo$3o10b3o131bo$146bo4bobo$53b2o38b2o38b2o11b3o2b2o30b2o$
18b2o33bobo2b2o33bobo37bobo16bo30bobo$2o16bobo34bo3bo35bo39bo49bo$b2o
15bo32b4ob3o3b2o27b4ob2o33b4ob2o43b4ob2o$o50bo2bobo5bobo26bo2bobo34bo
2bobobo6b2o34bo2bobobob2o$6b2o4b2o40bobo5bo31bobo37bobobo5b2o38bobobob
o$7b2o2b2o42bo39bo3bo4b2o29b2ob2o6bo38b2obobo$6bo6bo85b2o2b2o84bo5bo$
98bobo4bo89bobo$148b2o45b2o$147b2o$149bo$192b3o3b3o$194bo3bo$193bo5bo!

If you want to find known components, you can look in Extrementhusiast's collection components_v4 (a little outdated ; see also the sorted version by Inferno a few posts below), in Marc Niemiec's database (there are many variants of each synthesis, and sometimes old, complicated syntheses that decompose reactions in a lot of small pieces are easier to modify), in Catagolue (by looking for known syntheses of similar objects) or directly in Shinjuku, using transfer.py (it is the most difficult source to use, but it often gives the best results).
Of course there is always the additionnal difficulty that many known syntheses won't work the same way in other rules.

[NimbleRogue]

Is there a known adjustable spaceship in a no B0 INT rule without any survival conditions?

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

I made several attempts to find a "well-behaved enough for soup searching" cellular automaton supporting this p661 oscillator (discovered by FWKnightship in b356s23/D8_1_spaceinvaders_stdin):

Code: Select all

x = 63, y = 63, rule = B356/S23
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

This oscillator is endemic to B356/S23 within the space of all two-state isotropic cellular automata with range-1 Moore neighbourhood. Hence I tried to increase the range and use a weighted neighbourhood.
I think this oscillator remains endemic to this CA within several other spaces:

• "range-1 Moore, range-2 cross" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 Moore, range-2 saltire" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 Moore, range-3 cross" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 Moore, range-3 saltire" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 orthogonal, range-1 diagonal, range-2 cross" (2 x 5 x 5 x 5 = 250 distinguishable fully-specified conditions)
• "range-1 orthogonal, range-1 diagonal, range-2 saltire" (2 x 5 x 5 x 5 = 250 distinguishable fully-specified conditions)
• "range-1 orthogonal, range-1 diagonal, range-3 cross" (2 x 5 x 5 x 5 = 250 distinguishable fully-specified conditions)

[...]

Can this p661 oscillator be found in some "well-behaved" two-state isotropic CA definable using a weighted neighbourhood, within some higher-range space containing B356/S23?

What is the largest subrulespace in the rulespace of CA definable using the below weighted neighbourhood (NW01010101010111551101015500550101115511010101010101) that has the property that every rule in that subrulespace supports the above p661 oscillator?

Code: Select all

x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-203,255-271,323-339,391-424,B51-67,102,119-135,187-203,255-271,408-424,NW01010101010111551101015500550101115511010101010101
3o$obo$obo!

Code: Select all

x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-203,255-271,323-339,391-424,B51-67,119-135,187-203,255-271,408-424,NW01010101010111551101015500550101115511010101010101
3o$obo$obo!

Code: Select all

x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-203,255-271,323-339,391-424,B51-67,119-135,162,187-203,255-271,408-424,NW01010101010111551101015500550101115511010101010101
3o$obo$obo!

Code: Select all

x = 3, y = 3, rule = R2,C0,S8,34-67,102-135,170-203,255-271,323-339,391-424,B51-67,119-135,187-203,255-271,408-424,NW01010101010111551101015500550101115511010101010101
3o$obo$obo!

Code: Select all

x = 3, y = 3, rule = R2,C0,S34-67,102-135,170-194,196-203,255-271,323-339,391-424,B51-67,119-135,187-203,255-271,408-424,NW01010101010111551101015500550101115511010101010101
3o$obo$obo!

[confocaloid]

[...] NW01010101010111551101015500550101115511010101010101[...]

I think the Life-like CA B356/S23 is defined as follows using that weighted neighbourhood:

Code: Select all

x = 63, y = 63, rule = R2,C0,S34-67,102-135,170-203,255-271,B51-67,119-135,153-169,187-203,221-271,289-322,357-390,NW01010101010111551101015500550101115511010101010101
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

To find the p661 oscillator within this space, I think the required living conditions (i.e. the representative CA that is closest to "no births and no survivals") and the optional living conditions are as follows:

Code: Select all

x = 63, y = 63, rule = R2,C0,S34-49,52-64,102-115,119-133,135,170-181,183,185,187-200,255-267,271,B51-65,119-133,154-166,168,187-200,221-233,235,238-253,255-271,289-303,306-320,357-367,369,374-388,NW01010101010111551101015500550101115511010101010101
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

optional birth conditions (57): 16, 31-33, 50, 66-67, 69, 82-83, 101, 117-118, 134-135, 151-153, 167, 169, 185-186, 201-203, 219-220, 234, 236-237, 254, 286-288, 304-305, 321-322, 338-339, 351-355, 368, 370-373, 389-390, 405-406, 419, 423-424
optional survival conditions (69): 12, 14-16, 31-33, 50-51, 65-67, 69, 81-84, 99, 101, 116-118, 134, 150-152, 169, 182, 184, 186, 201-203, 219-220, 235, 237-238, 253-254, 268-270, 286, 288, 304-305, 321-322, 338-339, 353-357, 370-373, 388-390, 405-407, 409, 423-424

[get_Snacked]

do the edges of this ever become periodic? or is it already periodic, and i'm just blind?

Code: Select all

x = 3, y = 3, rule = B2in3-e4-kr5678/S123-i4-r5-c678
2bo$2o$2o!

what is the growth rate of this pattern?

Code: Select all

x = 3, y = 2, rule = B2in3-e4-kr5678/S123-i4-r5-c678
2o$b2o!

(this rule is the maxrule of this linestretcher:

Code: Select all

x = 3, y = 3, rule = B2in3-e4-kr5678/S123-i4-r5-c678
b2o$2o$obo!

)
EDIT: what is the growth rate of this pattern?

Woah
I found this when messing around with the minrules of some of the space fillers reminds me of the whitespace spirals

Code: Select all

x = 131, y = 145, rule = B3ai4a/S2e3ij4aciw5-cjn6ae7e8
51$38b3o$38bob2o$39bob2o$39b3o$40bo!

[PiSpaceships]

I try to make a rule with 3 states (air, ice, water) and following rules:
-If air is adjacent to 3 ice cells except the a3 configurations, then it will be an ice in next generation.
-If ice is adjacent to 2 or 3 ice cells, then it stays being ice.
-If water has at least 1 ice neighbor on west, south or east, it will be an ice.
-If non-ice has water on north and non-ice in both upper corners, it will be a water.
-Ice turn into a water which turns into an air by default.

Rule table:

Code: Select all

@RULE Ice

@TABLE
n_states:3
neighborhood:Moore
symmetries:reflect

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,2}
var j=i
var k=i
var l=i
var m=i
var n=i
var o={0,1}

#B3-a & S3-a
o,1,1,i,1,j,k,l,m,1
o,1,1,i,j,1,k,l,m,1
o,1,1,i,j,k,1,l,m,1
o,1,1,i,j,k,l,1,m,1
o,1,1,i,j,k,l,m,1,1
o,1,i,1,1,j,k,l,m,1
o,1,i,1,j,1,k,l,m,1
o,1,i,1,j,k,1,l,m,1
o,1,i,1,j,k,l,1,m,1
o,1,i,j,1,1,k,l,m,1
o,1,i,j,1,k,1,l,m,1
o,i,1,1,1,j,k,l,m,1
o,i,1,1,j,1,k,l,m,1
o,i,1,1,j,k,1,l,m,1
o,i,1,1,j,k,l,1,m,1
o,i,1,1,j,k,l,m,1,1
o,i,1,j,1,1,k,l,m,1
o,i,1,j,1,k,1,l,m,1
o,i,1,j,1,k,l,1,m,1
o,i,1,j,1,k,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,1,j,k,1,l,1,m,1
o,i,1,j,k,1,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,j,1,1,k,1,l,m,1
o,i,j,1,1,k,l,1,m,1
o,i,j,1,k,1,1,l,m,1
o,i,j,1,k,1,l,1,m,1
o,i,j,k,1,1,1,l,m,1

#S23a
1,1,1,1,i,j,k,l,m,1
1,i,j,1,1,1,k,l,m,1
1,1,1,i,j,k,l,m,n,1
1,1,i,1,j,k,l,m,n,1
1,1,i,j,1,k,l,m,n,1
1,1,i,j,k,1,l,m,n,1
1,i,1,1,j,k,l,m,n,1
1,i,1,j,1,k,l,m,n,1
1,i,1,j,k,1,l,m,n,1
1,i,1,j,k,l,1,m,n,1
1,i,1,j,k,l,m,1,n,1
1,i,1,j,k,l,m,n,1,1
1,i,j,1,1,k,l,m,n,1
1,i,j,1,k,1,l,m,n,1
1,i,j,1,k,l,1,m,n,1
1,i,j,1,k,l,m,1,n,1
1,i,j,k,1,1,l,m,n,1
1,i,j,k,1,l,1,m,n,1

#Water->Ice
2,a,b,1,c,d,e,f,g,1
2,a,b,c,d,1,e,f,g,1
2,a,b,c,d,e,f,1,g,1

#gravity
i,2,j,a,b,c,d,e,k,2

#defaults
i,a,b,c,d,e,f,g,h,0
1,a,b,c,d,e,f,g,h,2

I tried to insert it to Golly 4.3, but it doesn't work properly. I tried to rename it (both file name and 1st line), but then an error occur. Is my rule table incorrect? Or maybe Golly is broken?

[hibiscus]

Code: Select all

rule table

I tried to insert it to Golly 4.3, but it doesn't work properly. I tried to rename it (both file name and 1st line), but then an error occur. Is my rule table incorrect? Or maybe Golly is broken?

There's no "reflect" symmetry, but there is a "rotate4reflect" symmetry. The rule is pretty explosive though, and as a side effect "If water has at least 1 ice neighbor on west, south or east, it will be an ice" is turned to "If water has at least 1 ice neighbor in any orthogonal direction, it will be an ice".

[WhiteHawk]

Unrelated, but out of curiosity, what rule is your profile animation from? Referring to the glider-block to b-heptomino spaceship loop.

[hibiscus]

Unrelated, but out of curiosity, what rule is your profile animation from? Referring to the glider-block to b-heptomino spaceship loop.

The rule it's from is B35ay/S2-i3-e4ey5j. It's the same spaceship as my signature.

[PiSpaceships]

There's no "reflect" symmetry, but there is a "rotate4reflect" symmetry. The rule is pretty explosive though, and as a side effect "If water has at least 1 ice neighbor on west, south or east, it will be an ice" is turned to "If water has at least 1 ice neighbor in any orthogonal direction, it will be an ice".

"reflect" symmetry exists, because it works in LifeViewer. I saw one post with a rule that used it and it worked. What should I do to implement this rule (other than changing it) in Golly 4.3 if "reflect" symmetry doesn't work in it?

[confocaloid]

[...] What should I do to implement this rule (other than changing it) in Golly 4.3 if "reflect" symmetry doesn't work in it?

Surprisingly, it seems like I managed to fix it by making it more explicit and changing "reflect" to "reflect_horizontal". Does this work as intended?

Code: Select all

x = 20, y = 20, rule = Ice
B2A.3ABA.B3.B2A2.B$.B.AB2.AB2.2B2.A.2A$.ABA.A2.ABA.B3.A2.A$2.A.A4.AB.
A3.B.AB$B.AB4.2B2.AB4A$A.AB4.B.B2A2B.B.A$A.ABA2.B.A.BAB4.A$.B.A3B4.AB
.2A3.B$2B.B3A3.ABAB2A.2A$2B3.AB.AB.2B3.2B.A$2.A4.2BAB4.B$A3.4A4BA2B.A
2.A$.A2BA2.B.A2B7.B$2A.A2.3AB5.B.B$A2.A2.B4.A2B3.B.B$AB4.A.2B.B.A2B2.
BA$4.2B.A3.B.B.AB2A$.B2A3B2.B2A.3A.A$A.AB5.2B3.2BA.B$3.4B2.ABA6.A!

@RULE Ice

@TABLE
n_states:3
neighborhood:Moore
symmetries:reflect_horizontal

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,2}
var j=i
var k=i
var l=i
var m=i
var n=i
var o={0,1}

#B3-a & S3-a
o,1,1,i,1,j,k,l,m,1
o,1,1,i,j,1,k,l,m,1
o,1,1,i,j,k,1,l,m,1
o,1,1,i,j,k,l,1,m,1
o,1,1,i,j,k,l,m,1,1
o,1,i,1,1,j,k,l,m,1
o,1,i,1,j,1,k,l,m,1
o,1,i,1,j,k,1,l,m,1
o,1,i,1,j,k,l,1,m,1
o,1,i,j,1,1,k,l,m,1
o,1,i,j,1,k,1,l,m,1
o,i,1,1,1,j,k,l,m,1
o,i,1,1,j,1,k,l,m,1
o,i,1,1,j,k,1,l,m,1
o,i,1,1,j,k,l,1,m,1
o,i,1,1,j,k,l,m,1,1
o,i,1,j,1,1,k,l,m,1
o,i,1,j,1,k,1,l,m,1
o,i,1,j,1,k,l,1,m,1
o,i,1,j,1,k,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,1,j,k,1,l,1,m,1
o,i,1,j,k,1,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,j,1,1,k,1,l,m,1
o,i,j,1,1,k,l,1,m,1
o,i,j,1,k,1,1,l,m,1
o,i,j,1,k,1,l,1,m,1
o,i,j,k,1,1,1,l,m,1

#S23a
1,1,1,1,i,j,k,l,m,1
1,i,j,1,1,1,k,l,m,1
1,1,1,i,j,k,l,m,n,1
1,1,i,1,j,k,l,m,n,1
1,1,i,j,1,k,l,m,n,1
1,1,i,j,k,1,l,m,n,1
1,i,1,1,j,k,l,m,n,1
1,i,1,j,1,k,l,m,n,1
1,i,1,j,k,1,l,m,n,1
1,i,1,j,k,l,1,m,n,1
1,i,1,j,k,l,m,1,n,1
1,i,1,j,k,l,m,n,1,1
1,i,j,1,1,k,l,m,n,1
1,i,j,1,k,1,l,m,n,1
1,i,j,1,k,l,1,m,n,1
1,i,j,1,k,l,m,1,n,1
1,i,j,k,1,1,l,m,n,1
1,i,j,k,1,l,1,m,n,1

#Water->Ice
2,a,b,1,c,d,e,f,g,1
2,a,b,c,d,1,e,f,g,1
2,a,b,c,d,e,f,1,g,1

#gravity
i,2,j,a,b,c,d,e,k,2

#defaults
i,a,b,c,d,e,f,g,h,0
1,a,b,c,d,e,f,g,h,2

[WhiteHawk]

Is there a otalistic or Isotropic Non-totalistic rule where life's glider is turned 90 degrees by an simple STABLE alien reflector (not alien snarks or snark64)? If so, how many different alien reflector rules are known?

What is the simplest 90 degree glider turner in any Totalistic or Isotropic Non-totalistic rule?

EDIT:

Well, I don't know what you mean by "standard neighborhood rule", there are many different neighbourhoods (von Neumann, Moore, higher-range generalisations, other shapes, 1D, 3D, ...) that were investigated.

Meant totalistic and isotropic non-totalistic.

Note also that neither that question nor your question requires that the reflector be stable, and it's often easier to find a periodic spaceship reflector (of some period) as long as there's a small common spaceship and a sparky oscillator.

Sorry, I forgot to mention I am looking at Stable reflectors.

[confocaloid]

Well, I don't know what you mean by "standard neighborhood rule", there are many different neighbourhoods (von Neumann neighbourhood, Moore neighbourhood and their higher-range generalisations, other shapes, 1D, 3D, ...) that were investigated.

However, there was a recent question that appears to be similar, see the quote below.

Note also that neither that question nor your question requires that the reflector be stable, and it's often easier to find a periodic spaceship reflector (of some period) as long as there's a small common spaceship and a sparky oscillator.

Are there any isotropic range-1 two-state rules with small glider reflectors/duplicators with short repeat time? [...]

• https://github.com/yujh-yujh/gliderduplicatordb
• viewtopic.php?f=11&t=4759
• viewtopic.php?f=11&t=5158
• viewtopic.php?f=11&t=5162
• viewtopic.php?f=11&t=5606

Is there a standard neighborhood rule where life's glider is turned 90 degrees by an simple alien reflector (not alien snarks or snark64)? If so, how many different alien reflector rules are known?

What is the simplest 90 degree glider turner in any Totalistic or Isotropic Non-totalistic rule?

[PiSpaceships]

[...] What should I do to implement this rule (other than changing it) in Golly 4.3 if "reflect" symmetry doesn't work in it?

Surprisingly, it seems like I managed to fix it by making it more explicit and changing "reflect" to "reflect_horizontal". Does this work as intended?

Code: Select all

x = 20, y = 20, rule = Ice
B2A.3ABA.B3.B2A2.B$.B.AB2.AB2.2B2.A.2A$.ABA.A2.ABA.B3.A2.A$2.A.A4.AB.
A3.B.AB$B.AB4.2B2.AB4A$A.AB4.B.B2A2B.B.A$A.ABA2.B.A.BAB4.A$.B.A3B4.AB
.2A3.B$2B.B3A3.ABAB2A.2A$2B3.AB.AB.2B3.2B.A$2.A4.2BAB4.B$A3.4A4BA2B.A
2.A$.A2BA2.B.A2B7.B$2A.A2.3AB5.B.B$A2.A2.B4.A2B3.B.B$AB4.A.2B.B.A2B2.
BA$4.2B.A3.B.B.AB2A$.B2A3B2.B2A.3A.A$A.AB5.2B3.2BA.B$3.4B2.ABA6.A!

@RULE Ice

@TABLE
n_states:3
neighborhood:Moore
symmetries:reflect_horizontal

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,2}
var j=i
var k=i
var l=i
var m=i
var n=i
var o={0,1}

#B3-a & S3-a
o,1,1,i,1,j,k,l,m,1
o,1,1,i,j,1,k,l,m,1
o,1,1,i,j,k,1,l,m,1
o,1,1,i,j,k,l,1,m,1
o,1,1,i,j,k,l,m,1,1
o,1,i,1,1,j,k,l,m,1
o,1,i,1,j,1,k,l,m,1
o,1,i,1,j,k,1,l,m,1
o,1,i,1,j,k,l,1,m,1
o,1,i,j,1,1,k,l,m,1
o,1,i,j,1,k,1,l,m,1
o,i,1,1,1,j,k,l,m,1
o,i,1,1,j,1,k,l,m,1
o,i,1,1,j,k,1,l,m,1
o,i,1,1,j,k,l,1,m,1
o,i,1,1,j,k,l,m,1,1
o,i,1,j,1,1,k,l,m,1
o,i,1,j,1,k,1,l,m,1
o,i,1,j,1,k,l,1,m,1
o,i,1,j,1,k,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,1,j,k,1,l,1,m,1
o,i,1,j,k,1,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,j,1,1,k,1,l,m,1
o,i,j,1,1,k,l,1,m,1
o,i,j,1,k,1,1,l,m,1
o,i,j,1,k,1,l,1,m,1
o,i,j,k,1,1,1,l,m,1

#S23a
1,1,1,1,i,j,k,l,m,1
1,i,j,1,1,1,k,l,m,1
1,1,1,i,j,k,l,m,n,1
1,1,i,1,j,k,l,m,n,1
1,1,i,j,1,k,l,m,n,1
1,1,i,j,k,1,l,m,n,1
1,i,1,1,j,k,l,m,n,1
1,i,1,j,1,k,l,m,n,1
1,i,1,j,k,1,l,m,n,1
1,i,1,j,k,l,1,m,n,1
1,i,1,j,k,l,m,1,n,1
1,i,1,j,k,l,m,n,1,1
1,i,j,1,1,k,l,m,n,1
1,i,j,1,k,1,l,m,n,1
1,i,j,1,k,l,1,m,n,1
1,i,j,1,k,l,m,1,n,1
1,i,j,k,1,1,l,m,n,1
1,i,j,k,1,l,1,m,n,1

#Water->Ice
2,a,b,1,c,d,e,f,g,1
2,a,b,c,d,1,e,f,g,1
2,a,b,c,d,e,f,1,g,1

#gravity
i,2,j,a,b,c,d,e,k,2

#defaults
i,a,b,c,d,e,f,g,h,0
1,a,b,c,d,e,f,g,h,2

Yes, it works! Thank you so much!

[WhiteHawk]

Attempting to finish this p35 partial in B34c8/S23 based on the p34 dependent TL loop in life. Can anyone help fix the glider timing?

Code: Select all

x = 35, y = 36, rule = B34c8/S23
11bo$11b3o$14bo$13b2o2$19bo$19bo$8bo11bo4b3o$7bobo8bo$6bo3bo7b2o5bobo
$7bobo16bo$2b2o4bo$bobo$bo26b2o$2o6bo19bo$8b2o13bobo3b3o$10bo13b2o5bo
$8bobo13bo$8b2o3$3b2o$2bobo$2bo30bo$b2o15b2o14bo$18bobo11b3o$18bo7$27b
2o$26b2o$28bo!