Thread for basic non-CGOL questions

[Plasmath]

When does this pattern become periodic? It hasn't stabilized for 770,000,000 generations:

Code: Select all

x = 16, y = 16, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
bobo5bob2ob2o$ob2o4bo4b2o$obobobo2bob5o$4bob2o3b5o$2b2o2b5o2b3o$4bobo
bo4b2o$o5bo2bobobo$3o4b2obo4bo$bobo5bobo3bo$3b2ob3obo3b2o$2o2b6o2bo$o
2bobo2bo2bob3o$b4o2b2o2bo$b2o2b3obo2bobo$2o4bo4b5o$3obobo3bo4bo!

Here is what it looks like after 770,072,328 generations by the way:

Code: Select all

x = 25, y = 25, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
14bo$14bo$12bobobo$12bobobo$10bobobobobo$10bobobobobo$8bobobobob3obo$
8bob3obob2o$6b6ob8obo$7b6obo2bo3bo$4b7obob9obo$4bob5obob4obo2b2o$2b10o
b2ob7obo$5b3o3b2ob2ob2o2bo$6ob2ob2obo2b2o2bobo$6b3ob2o2bobobobo$2b2obo
b6ob3obobo$5b5ob4obobo$4bob5o5bobo$6b3obobobo$6bob2ob2obobo$8bob3obo$
8bob2o2bo$10bobo$10bobo!

[confocaloid]

Here is what it looks like after 770,072,328 generations by the way:

Code: Select all

x = 25, y = 25, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
14bo$14bo$12bobobo$12bobobo$10bobobobobo$10bobobobobo$8bobobobob3obo$
8bob3obob2o$6b6ob8obo$7b6obo2bo3bo$4b7obob9obo$4bob5obob4obo2b2o$2b10o
b2ob7obo$5b3o3b2ob2ob2o2bo$6ob2ob2obo2b2o2bobo$6b3ob2o2bobobobo$2b2obo
b6ob3obobo$5b5ob4obobo$4bob5o5bobo$6b3obobobo$6bob2ob2obobo$8bob3obo$
8bob2o2bo$10bobo$10bobo!

No answer, but here is what it looks like after Edit 2: T = 1, 2, 3, 5, 10, 100 gigaticks:

Code: Select all

x = 225, y = 25, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
14bo39bo39bo39bo39bo39bo$14bo39bo39bo39bo39bo39bo$12bobobo35bobobo35bo
bobo35bobobo35bobobo35bobobo$12bobobo35bobobo35bobobo37bobo35b2o2bo36b
2obo$10bobobobobo31bob5obo31b5ob3o31b5obobo31b4ob4o31bo2b6o$10bob7o31b
ob2ob3o33b2o3bobo31bo2b2obobo31b3ob2o2bo32bo3b2o$8bob2ob8o27bobob2o2b
3obo27bobobobobobobo27b4obob2obobo27bob4o3b2obo27bobo2b3o2b3o$9b3ob6o
30b5ob4o29bo2b2obo3bo29bobobob3ob3o29b4o2b2o30b10o$6bob2o2b3ob7o23b2o
2b4o2bo2b4o23bobob4ob8o23bob11o2b2o23b3o3b3obo2b2obo23b3ob13o$8b12o32b
o3bo29bob3o4b5o26b6o2b6o27bo2b4ob3ob2o26b5obob4o$4bob2obobobo2b9o19b4o
2b15o19b4obobo2bo2b8o19b7ob2ob2ob7o19b2o2b2o3b3o4b5o19bob2ob16o$5b6obo
b3ob2o26b2o2b9o28bo2b3o5b2o25bo2bobobo3b4o25b2ob5o2b2ob4o22bobob9obo$
2b2o3b4obob2o3b6o17b6ob2obobob9o17b6ob5o5b6o17b5ob6o3bob6o17b2obo3b3o
3b2ob2ob4o17b2o2b9ob9o$4b2o2b3o4bo31bob2ob4ob2o26bo3b7ob3o26bobob5o2b
3o25b4ob2ob4ob2o23b7ob6obo$4o2bo2bo4b2o3b4o17b6obobo3bob8o17b6o2b4ob
10o17b7ob3obobob2o2b3o17b6ob3o3b2ob3obobo17b4obobob4ob2o2b5o$5b4o2b2ob
6o23bobob4obob4o27b2obo2bobobob3o22bo2bob4o3b3obobo24bob2o2bo2b7o22b2o
2b4ob4o$2b2o3bo3bob8o21b4o2b4ob3ob4o21b3o2bob3o2b7o21b4o2bob2o2b2ob2ob
o21b4o2bo2b4obobobo21b3ob3ob3obo3b3o$5bob3o2b6o29b2ob7o27bob2ob3o3b3o
30b3obob2o28bobo2b2obo4bo26b2o2b5ob2ob2o$4bo3b8o2bo25bo2b3ob3o2bobo25b
3o3b3ob3obo25bob2o2bob7o25b2o2b3o2b4obo25b2o2b5o3b3o$8bob6o32b3o2b4o
29bob2obo2b2o30b3obobobobo31bob4o2bo30bo2bo2bobo$6bobobobobobo29bobobo
bobobo29bob5obobo29bobobobobobo29b2ob3obo2bo29b5obobobo$8bobobobo33bob
obobo33bobobobo33bobobobo34b2o3bo33bobobobo$8bobobobo33bobobobo33bobob
obo33bobobobo33bobobobo33bobobobo$10bobo37bobo37bobo37bobo37bobo37bobo
$10bobo37bobo37bobo37bobo37bobo37bobo!

It does not appear to settle into any period below 50 x 10^9.

Edited 2023-10-19: running from generation 10^11, there is no oscillation (yet?) with period below 14 x 10^9. Maybe it already settled into a higher period, or maybe it did not yet settle into a phase of an oscillator.

Code: Select all

#C Generation = 100,000,000,000
x = 25, y = 25, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
14bo$14bo$12bobobo$13b2obo$10bo2b6o$11bo3b2o$8bobo2b3o2b3o$8b10o$6b3ob
13o$7b5obob4o$4bob2ob16o$4bobob9obo$2b2o2b9ob9o$3b7ob6obo$4obobob4ob2o
2b5o$3b2o2b4ob4o$2b3ob3ob3obo3b3o$4b2o2b5ob2ob2o$4b2o2b5o3b3o$7bo2bo2b
obo$6b5obobobo$8bobobobo$8bobobobo$10bobo$10bobo!

Code: Select all

#C 14008975360 iterations completed, pattern:
x = 32, y = 32, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbobbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbobbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbobobobbbbbbbbbbbb$
bbbbbbbbbbbbbbbobooobbbbbbbbbbbb$
bbbbbbbbbbbbbobobboooobbbbbbbbbb$
bbbbbbbbbbbbbboboboobbbbbbbbbbbb$
bbbbbbbbbbbooobbobbooooobbbbbbbb$
bbbbbbbbbbbboboobooobbbbbbbbbbbb$
bbbbbbbbbooobboboooooooooobbbbbb$
bbbbbbbbbbbbboooooooobbbbbbbbbbb$
bbbbbbboooobbooooobboooooooobbbb$
bbbbbbbobbbooobobobbbbbbbbbbbbbb$
bbbbboboboobboboobbooooooooobbbb$
bbbbbbbobbobobbbobbobbbbbbbbbbbb$
bbboooooobboobbobooooooooobbbbbb$
bbbbbbbboooooooooobbbbbbbbbbbbbb$
bbbbboooobbbbobbbboooooobbbbbbbb$
bbbbbbbobobboooobbboobbbbbbbbbbb$
bbbbbbbobooooboboobooobbbbbbbbbb$
bbbbbbbbboboooobbboobbbbbbbbbbbb$
bbbbbbbbbooooboobooobbbbbbbbbbbb$
bbbbbbbbbbbooooobobbbbbbbbbbbbbb$
bbbbbbbbbbbobobobobbbbbbbbbbbbbb$
bbbbbbbbbbbbbobobbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbobobbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb!

[Haycat2009]

Hi, just curious:
1. What are the most common evolutionary sequences in Grounded Life? (T spark, Line of 6 spark, Fleet, Chopin. But in which order? And what others did I miss out?)
2. What are the longest-lived Methaesulae and diehards per population in Grounded Life (Excluding spaceship collisions)

[Haycat2009]

Here is what it looks like after 770,072,328 generations by the way:

Code: Select all

x = 25, y = 25, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
14bo$14bo$12bobobo$12bobobo$10bobobobobo$10bobobobobo$8bobobobob3obo$
8bob3obob2o$6b6ob8obo$7b6obo2bo3bo$4b7obob9obo$4bob5obob4obo2b2o$2b10o
b2ob7obo$5b3o3b2ob2ob2o2bo$6ob2ob2obo2b2o2bobo$6b3ob2o2bobobobo$2b2obo
b6ob3obobo$5b5ob4obobo$4bob5o5bobo$6b3obobobo$6bob2ob2obobo$8bob3obo$
8bob2o2bo$10bobo$10bobo!

No answer, but here is what it looks like after Edit 2: T = 1, 2, 3, 5, 10, 100 gigaticks:

Code: Select all

x = 225, y = 25, rule = B2-a3-ai4inrtwyz5-jky6-cn78/S3k4-jqt5-aer6-ac7
14bo39bo39bo39bo39bo39bo$14bo39bo39bo39bo39bo39bo$12bobobo35bobobo35bo
bobo35bobobo35bobobo35bobobo$12bobobo35bobobo35bobobo37bobo35b2o2bo36b
2obo$10bobobobobo31bob5obo31b5ob3o31b5obobo31b4ob4o31bo2b6o$10bob7o31b
ob2ob3o33b2o3bobo31bo2b2obobo31b3ob2o2bo32bo3b2o$8bob2ob8o27bobob2o2b
3obo27bobobobobobobo27b4obob2obobo27bob4o3b2obo27bobo2b3o2b3o$9b3ob6o
30b5ob4o29bo2b2obo3bo29bobobob3ob3o29b4o2b2o30b10o$6bob2o2b3ob7o23b2o
2b4o2bo2b4o23bobob4ob8o23bob11o2b2o23b3o3b3obo2b2obo23b3ob13o$8b12o32b
o3bo29bob3o4b5o26b6o2b6o27bo2b4ob3ob2o26b5obob4o$4bob2obobobo2b9o19b4o
2b15o19b4obobo2bo2b8o19b7ob2ob2ob7o19b2o2b2o3b3o4b5o19bob2ob16o$5b6obo
b3ob2o26b2o2b9o28bo2b3o5b2o25bo2bobobo3b4o25b2ob5o2b2ob4o22bobob9obo$
2b2o3b4obob2o3b6o17b6ob2obobob9o17b6ob5o5b6o17b5ob6o3bob6o17b2obo3b3o
3b2ob2ob4o17b2o2b9ob9o$4b2o2b3o4bo31bob2ob4ob2o26bo3b7ob3o26bobob5o2b
3o25b4ob2ob4ob2o23b7ob6obo$4o2bo2bo4b2o3b4o17b6obobo3bob8o17b6o2b4ob
10o17b7ob3obobob2o2b3o17b6ob3o3b2ob3obobo17b4obobob4ob2o2b5o$5b4o2b2ob
6o23bobob4obob4o27b2obo2bobobob3o22bo2bob4o3b3obobo24bob2o2bo2b7o22b2o
2b4ob4o$2b2o3bo3bob8o21b4o2b4ob3ob4o21b3o2bob3o2b7o21b4o2bob2o2b2ob2ob
o21b4o2bo2b4obobobo21b3ob3ob3obo3b3o$5bob3o2b6o29b2ob7o27bob2ob3o3b3o
30b3obob2o28bobo2b2obo4bo26b2o2b5ob2ob2o$4bo3b8o2bo25bo2b3ob3o2bobo25b
3o3b3ob3obo25bob2o2bob7o25b2o2b3o2b4obo25b2o2b5o3b3o$8bob6o32b3o2b4o
29bob2obo2b2o30b3obobobobo31bob4o2bo30bo2bo2bobo$6bobobobobobo29bobobo
bobobo29bob5obobo29bobobobobobo29b2ob3obo2bo29b5obobobo$8bobobobo33bob
obobo33bobobobo33bobobobo34b2o3bo33bobobobo$8bobobobo33bobobobo33bobob
obo33bobobobo33bobobobo33bobobobo$10bobo37bobo37bobo37bobo37bobo37bobo
$10bobo37bobo37bobo37bobo37bobo37bobo!

It does not appear to settle into any period below 50 x 10^9.

I remember seeing a post on the max period in MxN box. This could challenge it!

[confocaloid]

Is there a spaceship that changes its speed back and forth whenever a certain Hensel condition is toggled back and forth, but otherwise is guaranteed to survive under every possible finite sequence of toggles of that condition?

The following non-example comes close to being an example. This is a (13,7)c/45 oblique spaceship from the 5S collection:

Code: Select all

x = 3, y = 3, rule = B3aeijr5er6cin7/S23-acy4einrtz5jkn6ci78
b2o$2o$bo!

If the condition S4y is toggled (added) at an arbitrary time, it becomes a 19c/116 diagonal spaceship. The following are two phases of that spaceship triggering S4y:

Code: Select all

#C If S4y is toggled back (removed) in this phase, the spaceship again becomes (13,7)c/45:
x = 5, y = 5, rule = B3aeijr5er6cin7/S23-acy4einrtyz5jkn6ci78
2b2o$2ob2o$ob3o$o2b2o$bo!

Code: Select all

#C If S4y is toggled back (removed) in this phase, the spaceship dies:
x = 7, y = 5, rule = B3aeijr5er6cin7/S23-acy4einrtyz5jkn6ci78
o$ob3o$2o3b2o$2bo3bo$3b3o!

Edit: I found an example by looking through the 5S collection, and posted it here: viewtopic.php?p=169352#p169352

[NimbleRogue]

Whats the rule with the most transitions that is non explosive?

[yujh]

Whats the rule with the most transitions that is non explosive?

B2-a3-i45678/S012345678 And B2-a3-a45678/S012345678 are pretty close to optimal, if they are not already.

[TYCF]

Does anyone know what the pattern created is called?

Code: Select all

x = 1, y = 2, rule = /1/256V
$A!
#C [[ AUTOFIT GPS 150 AUTOSTART LOOP 500 PAUSE 2 ]]

[EvinZL]

Does anyone know what the pattern created is called?

Code: Select all

x = 1, y = 2, rule = /1/256V
$A!
#C [[ AUTOFIT GPS 150 AUTOSTART LOOP 500 PAUSE 2 ]]

It appears to be a rotated T-square

[C28]

is there a rule that is like B2i3-ek4ci/S2-i3-ak4ciy5ce6c but with a tendency to make large still lifes before settling?

[silversmith]

is there a rule that is like B2i3-ek4ci/S2-i3-ak4ciy5ce6c but with a tendency to make large still lifes before settling?

Here is one. You can adjust B678/S678 to your taste without affecting the dynamics too much.

Code: Select all

x = 46, y = 32, rule = B2i3-eky4ci6i/S2-i3-ak4ciy5cje6c
2o2b2ob2ob2o2b2o4b3obo2b2o4b2o6b4o$b2o2bo3b2o4b2o2b4o3b2o4bob4o2bo2bo$
2ob2o3bob2obo2bo3b2o2bo2b3o2b2o2b2ob5o$3ob3o5bo2b2ob7obobobo3bo2b2ob2o
2b2o$o5bo5b2ob3obobobo6b2ob2ob2obo2b2o$b2ob4ob3ob2o5b2ob2ob2o2bo4b2o2b
obo3bo$obob3o2bobob2obobo2b9o3b3o7b3o$2ob2ob3ob3obo4bob2obob2ob2o2b4o
2bo$bob2o4bo2b2ob3obobob2o2bo2b6o2bo2bobo$8bobob3o2bo2b2o2bo3bo5b5obo$
3bo2bo2b2obo9bobob2o2bobob4o2b3ob2o$obo2bobo2bo2bo2bobobo5bobobobo2b3o
b2ob2obo$b4o2b5o2bob2ob2o8bo2b2obo2bob2ob2o$b3ob3o5b2o3bobo4b3o2bo2b2o
b2obobob2o$bob2o2bo5b3obob5ob3ob4o3b5ob2obo$b3obob4o2bo3b3obo3b2obob2o
2b2obo6b2o$b4o3b3ob7obo6bo2bobob3o5b3o$bo2b2ob2o5bo3bobo2b2o2b3o2bob7o
3b2o$bobobob4ob8obob2obob3o2b2o2bobo5bo$bo2b2ob2o2b4obob3ob2obob3o5bob
obo5bo$b2obo2b3o3b2obobo2bo4bo3bob3ob2obo2bo2bo$o3bo2bo3b6obob4obobob
2obobo3b2o2b2obo$2bo2b2ob5o6b2ob5o4bobo6b2obo$b3o3bobobo2b3o4b2o6bobob
2o3b2o$b2obobob2ob2ob3obo3b5o2b2obo2b4o2b5o$b4o5b2o3bobob2o2b2ob2ob4ob
obob2o3bo$2bo2b3ob2o3bobob2ob3o2b6obo3b5ob2o$2bo7b2o4b3ob2obobo4b3o2bo
bob2ob2o$2ob4o6bo2bobo2bo2b14o2b2o$o4bo2bo4bobobo2b2o2bo2b3ob2obob2ob
5obo$3obobobob2o4b6obo2b3obob4obobob2obo$2bobobo3b2o5b2obobo3bo2b2obob
5o2b3o!

[confocaloid]

How many are there well-defined CA rulestring notations in existence?
(a) implemented in at least one software tool (not necessarily widely used)
(b) not (yet) implemented, but a well-defined proposal

Edit: e.g. "B3/S23", "23/3", "R1,C0,M0,S2..3,B3..3,NM" are examples of use of three different notations.
Obligatory XKCD: https://xkcd.com/927/

[MEisSCAMMER]

How many are there well-defined CA rulestring notations in existence?
(a) implemented in at least one software tool (not necessarily widely used)
(b) not (yet) implemented, but a well-defined proposal

You forgot MAP notation, Generations (23/3/2, B3/S23/G2) and ruletables (RULE, TREE). Those are all I can think of at the moment, but I'm sure there are others.

Obligatory XKCD

heh, I remember that one. Surprising how there always seems to be an xkcd (or failing that, SMBC) for every occasion.

[NimbleRogue]

What rule has the most periods 1-n/ or 2-n from a consecutive line of cells? with cells that are not nesciscerrially in a line but all 1d, max 1d spaceships in a rule?

[confocaloid]

What rule has the most periods 1-n/ or 2-n from a consecutive line of cells? with cells that are not nesciscerrially in a line but all 1d, max 1d spaceships in a rule?

B3/S023 has at least three periods (1, 2, 15) evolving from a consecutive line of cells, but the periods are not consecutive (i.e. not 1-n or 2-n):

Code: Select all

x = 26, y = 1, rule = B3/S023
o4b3o8b10o!

Periods 1 through 3 with a phase that is an one-cell-thick rectangle:

Code: Select all

x = 12, y = 1, rule = B35y/S02-k3
o2b3o2b4o!

a rule with 5 separate one dimensional ships

Code: Select all

x = 9, y = 51, rule = B2-ai3ekn4a5eqy7e/S01c2ei3ceiqr4cjk5iy6n
o2$o2bo$bo8$ob2o7$o2bob2o11$obo3bo10$o2bobob2o11$obo2bo!

Two collections of one-dimensional ships in B026/S1 (including ships that have been posted previously.)
[...]

[wildmyron]

What rule has the most periods 1-n/ or 2-n from a consecutive line of cells? with cells that are not nesciscerrially in a line but all 1d, max 1d spaceships in a rule?

Perhaps this isn't strictly required by the question, but I thought it would be interesting to see how many consecutive 1D oscillators could be found in one INT rule.

p1 - p7:

Code: Select all

x = 67, y = 1, rule = B2ce3cer4ceikrt5iqy6ci8/S1e3eij4aey5y6c
2o8bobo7bob3obo3b2obo6b3obobo3b3obo5b3ob3o!

[Period1GliderGun]

What rule has the most periods 1-n/ or 2-n from a consecutive line of cells? with cells that are not nesciscerrially in a line but all 1d, max 1d spaceships in a rule?

B2i36i/S02-i3 has all periods 2n:

Code: Select all

x = 15, y = 1, rule = B2i36i/S02-i3
15o!

I'm sure you could rulegolf something with odd periods so that, in typical OCA fashion, you could prove omniperiodicity by undimensionality.

[TYCF]

What rule has the most periods 1-n/ or 2-n from a consecutive line of cells? with cells that are not nesciscerrially in a line but all 1d, max 1d spaceships in a rule?

B2i36i/S02-i3 has all periods 2n:

Code: Select all

x = 15, y = 1, rule = B2i36i/S02-i3
15o!

I'm sure you could rulegolf something with odd periods so that, in typical OCA fashion, you could prove omniperiodicity by undimensionality.

This rule has a strange reaction which involves a dot moving a large spark.

Code: Select all

x = 33, y = 12, rule = B2i36i/S02-i3
32bo$28bo$24bo$20bo$16bo$3bo8bo$2bobo3bo$bobobo$obobobo$bobobo$2bobo$
3bo!

Code: Select all

x = 41, y = 7, rule = B2i36i/S02-i3
3bo$2bobo3bo7bo7bo7bo7bo$bobobo$obobobo$bobobo6bo7bo7bo7bo$2bobo$3bo!

[NimbleRogue]

Perhaps this isn't strictly required by the question, but I thought it would be interesting to see how many consecutive 1D oscillators could be found in one INT rule.

p1 - p7:

Code: Select all

x = 67, y = 1, rule = B2ce3cer4ceikrt5iqy6ci8/S1e3eij4aey5y6c
2o8bobo7bob3obo3b2obo6b3obobo3b3obo5b3ob3o!

That was one of the questions because there are many rules with an infinite family of 1D oscillators, but I wanted them to be novel, and I thought requiring the rule to have consecutive oscillators would fix that

[Haycat2009]

Other then B/S012345678, are there any other reversable INT CA?

[toroidalet]

In addition to B/S012345678, I know that the following rules are reversible: B1357/S1357, B1357/S2468, B1e2ak3einqy4jnry5einqy6ak7e/S1e2ak3einqy4jnry5einqy6ak7e (B13/S13V), B1e2ak3einqy4jnry5einqy6ak7e/S01c2-ak3-einqy4-jnry5-einqy6-ak7c8 (B13/S024V), B1c2ak3-einqy4jnry5-einqy6ak7c/S1c2ak3-einqy4jnry5-einqy6ak7c (B13/S13V with corner cells) and B1c2ak3-einqy4jnry5-einqy6ak7c/S01e2-ak3einqy4-jnry5einqy6-ak7e8 (B13/S024V with corner cells).
Additionally, the B0 versions of those rules are also reversible: B012345678/S, B02468/S02468, B02468/S1357, B01c2-ak3-einqy4-jnry5-einqy6-ak7c8/S01c2-ak3-einqy4-jnry5-einqy6-ak7c8, B1e2ak3einqy4jnry5einqy6ak7e/S01c2-ak3-einqy4-jnry5-einqy6-ak7c8, B01e2-ak3einqy4-jnry5einqy6-ak7e8/S01e2-ak3einqy4-jnry5einqy6-ak7e8 and B01e2-ak3einqy4-jnry5einqy6-ak7e8/S1c2ak3-einqy4jnry5-einqy6ak7c.
Note that for all the replicator rules, a predecessor is guaranteed (even if the pattern is infinite) but it may not necessarily be unique. While for finite patterns the existence of two different patterns with the same descendant guarantees the existence of a garden of Eden, this is not the case for infinite patterns. See this post for more information.

[NimbleRogue]

Is there any Failedrep/Rep where it replicates and flips staying in the same position, and creates a copy of itself every flip that is 90 degrees to the main replicator?
I'm trying to find more stuff like the Failedloop rep

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

To do the same kind of replication here is what you would need in order
The object must have all the previous properties before the current, property, (not really)(But it allows for keeping on refining a rulespace)
1. A base flipper (Mirrored flipping) reaction that does not move
2. When the reaction flips it creates copies of itself 90% rotated
3. 2 copies shot at each other from the perpendicular frontends kill each other(somewhat trivial)
4. There is some way that frontends or ash from the frontends can combine into a new frontend elsewhere
5. There is a reaction between a new copy elsewhere and its evolved version that messes with it(trivial)

[confocaloid]

How many MAP rules can be written in a more concise way, by a rulestring that uses weighted neighbourhood (NW)?

[...]
Compare:

Code: Select all

x = 3, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oaIDogGiA6ICABIAAaIDogIAAgACAAIAAAAAAAA
3o$obo$obo!

Code: Select all

x = 3, y = 3, rule = R1,C2,S6-11,13,B9,11,13,18,NW030503030003030503
3o$obo$obo!

[b-engine]

Can any replicators, puffers or breeders made into spaceship?

I did know some spaceships made of puffers or breeders:

Code: Select all

x = 46, y = 18, rule = B34j/S23
2o19b2o$2o2b3o13b2ob2o$4bo2bo6bo5b2o2bo17b2o$4bo2bo6bo5bo3bo16b2ob2o$
5bobo12bob2o5bo11b2o2bo$21bo7bo11bo3bo$41bob2o$33bo8bo$17b2o6b2o7bo$17b
2o6b2o7bo$33bo8bo$41bob2o$21bo7bo11bo3bo$5bobo12bob2o5bo11b2o2bo$4bo2b
o6bo5bo3bo16b2ob2o$4bo2bo6bo5b2o2bo17b2o$2o2b3o13b2ob2o$2o19b2o!

Code: Select all

x = 48, y = 29, rule = B34tw/S23
2o$2o$4b2o$6bo$3bo2bo34b2o$6bo34b2o$4b2o39b2o$2o45bo$2o42bo2bo$47bo$45b
2o$41b2o$41b2o4$41b2o$41b2o$45b2o$47bo$2o42bo2bo$2o45bo$4b2o39b2o$6bo
34b2o$3bo2bo34b2o$6bo$4b2o$2o$2o!

And a puffer that has potential into making spaceship:

Code: Select all

x = 14, y = 11, rule = B37e/S23
13bo$12bo$11bo$11bo$10bo$11b2o2$4bo$2b2obo$bo3bo$o!

[Period1GliderGun]

And a puffer that has potential into making spaceship:

Code: Select all

x = 14, y = 11, rule = B37e/S23
13bo$12bo$11bo$11bo$10bo$11b2o2$4bo$2b2obo$bo3bo$o!

Code: Select all

x = 18, y = 12, rule = B37e/S23
12bo$12bo$2b3o7bo$bo2bo$o13b2o$bobo9b2obo$2bo8bo2b3o$7b2o2bobo$7b2o2b
o2$17bo$17bo!

In response to your question, many replicators in rules with small spaceships (such as the glider) can be corderized.