Thread for basic questions

[plurb]

This question isnt related to Conways game of life but highlife (I dont think its advanced enough for the other thread)

if a cell with 6 neighbours becomes alive, but a cell cant survive with 6 neighbours, what happens? does it become alive or dead?

[MDA]

Welcome to the forums!

This question isnt related to Conways game of life but highlife (I dont think its advanced enough for the other thread)

if a cell with 6 neighbours becomes alive, but a cell cant survive with 6 neighbours, what happens? does it become alive or dead?

In this case, since HighLife's rulestring is B36/S23 (where the numbers after B are the birth conditions and the numbers after S are the survival conditions), any living cell with 6 neighbors will die in the next generation, since 6 is not in HighLife's survival conditions.

However, since 6 is in HighLife's birth conditions, any dead cell with 6 neighbors will become alive in the next generation.

[dvgrn]

This question isnt related to Conways game of life but highlife (I dont think its advanced enough for the other thread)

if a cell with 6 neighbours becomes alive, but a cell cant survive with 6 neighbours, what happens? does it become alive or dead?

A more extreme example is the OCA:Seeds rule, B2/S, where cells turn ON if they have two parent-neighbors -- but they never stay on.

(EDIT: this paragraph is mostly a duplicate of MDA's response.) The numbers after "B" in any rule give the conditions under which a cell turns ON if it's OFF -- whereas the numbers after "S" give the conditions under which a cell stays ON if it's already ON. So in HighLife a cell with six neighbors turns ON if it's OFF, but turns OFF if it's ON.

Try predicting what exactly a ship in a HighLife universe will do, step by step, and then verify it in LifeViewer:

Code: Select all

x = 3, y = 3, rule = HighLife
b2o$obo$2o!

[plurb]

What do letters mean in rule strings?

[PK22]

What do letters mean in rule strings?

'B' stands for birth, and lists the birth conditions. 'S' stands for survival, and lists the survival conditions.
For isotropic non-totalistic rulestrings, the lowercase letters are part of Hensel notation.

[B468S02357]

In addition, some rules have G as a 3rd metric, being how many gens it takes for a cell to die.

[MDA]

The LifeWiki "did you know" page states that

if a glider collides with a U-turner in a certain way, the ash will contain a 15-bit still life with apgcode xs15_6t1egoz11?

Could anyone post the specific collision between the two objects which produces the aforementioned still-life? I can't seem to find it anywhere.

[PK22]

The LifeWiki "did you know" page states that

if a glider collides with a U-turner in a certain way, the ash will contain a 15-bit still life with apgcode xs15_6t1egoz11?

Could anyone post the specific collision between the two objects which produces the aforementioned still-life? I can't seem to find it anywhere.

Here:

Code: Select all

x = 38, y = 32, rule = B3/S23
bo$2bo$3o26$35b3o$35b3o$34bobo$34b2o!

[WhiteHawk]

Several oscillators discovered recently:

I do not mean to implore you to compile one, but will there be a 2026 Oscillator Stamp Collection available soon?

[NNlk05]

Where can I find nbsearch?

[aengmore]

Is this true?
For each rational number, there is a spaceship with this slope

[dvgrn]

Is this true?
For each rational number, there is a spaceship with this slope

Yes, that's true. As long as we can take as much time as we need to build a new copy of a self-constructing spaceship, we can build it at any sufficiently large (X,Y) offset.

We can choose X and Y to hit the target slope far enough away from the parent copy of the spaceship that there's no overlap. That's not a requirement -- we could hit literally any (X,Y) offset with a multi-stage construction -- but it makes the design a lot simpler if there's no overlap.

[NNlk05]

Heck. There’s a 75 cell spaceship of every slope and displacement because of RCT.

[dvgrn]

Heck. There’s a 75 cell spaceship of every slope and displacement because of RCT.

A 61-cell spaceship, technically (see the last few paragraphs) -- but yeah, if we're optimizing for population rather than for complexity or period, RCT15 is currently the way to go.

[Naszvadi]

According to LifeWiki:OCADYK/15, there is a polyglot ship that works in B3/S23 and in B3/S235 too. Can someone show me that ship?

[hotdogPi]

According to LifeWiki:OCADYK/15, there is a polyglot ship that works in B3/S23 and in B3/S235 too. Can someone show me that ship?

Code: Select all

x = 51, y = 10, rule = B3/S23
7b2o6bo19bo6b2o$4b2ob2o2b3ob3o15b3ob3o2b2ob2o$b4o2bo2bo6b2o13b2o6bo2bo
2b4o$o4bo4b2o4bo2bo11bo2bo4b2o4bo4bo$b2o7b2o27b2o7b2o$20b3ob3ob3o$19bo
2bobobobo2bo$20b3o5b3o$19b2o4bo4b2o$24bobo!

[Naszvadi]

According to LifeWiki:OCADYK/15, there is a polyglot ship that works in B3/S23 and in B3/S235 too. Can someone show me that ship?

Code: Select all

x = 51, y = 10, rule = B3/S23
7b2o6bo19bo6b2o$4b2ob2o2b3ob3o15b3ob3o2b2ob2o$b4o2bo2bo6b2o13b2o6bo2bo
2b4o$o4bo4b2o4bo2bo11bo2bo4b2o4bo4bo$b2o7b2o27b2o7b2o$20b3ob3ob3o$19bo
2bobobobo2bo$20b3o5b3o$19b2o4bo4b2o$24bobo!

Thanks! I don't always quote a pattern, but when I do - OT rules supported from Life to B38/S0235678:

Code: Select all

x = 51, y = 10, rule = B38/S0235678
7b2o6bo19bo6b2o$4b2ob2o2b3ob3o15b3ob3o2b2ob2o$b4o2bo2bo6b2o13b2o6bo2b
o2b4o$o4bo4b2o4bo2bo11bo2bo4b2o4bo4bo$b2o7b2o27b2o7b2o$20b3ob3ob3o$19b
o2bobobobo2bo$20b3o5b3o$19b2o4bo4b2o$24bobo!

[Empty Emptiness]

Is there a name for patterns in which the pattern's population is upper bounded but not all cells eventually become periodic?

[NNlk05]

Is there a name for patterns in which the pattern's population is upper bounded but not all cells eventually become periodic?

I am not sure what you mean by "pattern's population is upper bounded" but "not all cells eventually become periodic" is total aperiodic.

[Empty Emptiness]

Is there a name for patterns in which the pattern's population is upper bounded but not all cells eventually become periodic?

I am not sure what you mean by "pattern's population is upper bounded" but "not all cells eventually become periodic" is total aperiodic.

The former means that the pattern's population does not "grow without bound", as in the way is meant in the Sawtooth article. It still should not "tend to infinity".
For the latter, I wasn't going to require it to be total aperiodic, I just wanted there to exist cells that didn't become periodic.

[NNlk05]

The former means that the pattern's population does not "grow without bound", as in the way is meant in the Sawtooth article. It still should not "tend to infinity".
For the latter, I wasn't going to require it to be total aperiodic, I just wanted there to exist cells that didn't become periodic.

I think the cells in the path of the spaceships in normal sawteeth is aperiodic.

[hotdogPi]

Normal sawteeth tend to infinity at their maximum.

What Empty Emptiness is asking about is e.g. a glider bouncing between two corderships moving away from each other.

[WhiteHawk]

Somewhat silly and trivial question, but what is the most serendipetous oscillator known in life? By which I mean, an oscillator that (either/or) (1) only just barely works do to timing, (2) relies on such a specific catalysis that only 1 known standard sparker is able to complete it, or (3) just has such a wild and unusual evolution that it is only an oscillator seemingly as a coincidence

Some examples for conditions 2 & 3

(2) If Rich's p16 didn't exist and either only a p16 pipsquirter or only the delayed domino was known, this oscillator would not work.

Code: Select all

x = 26, y = 32, rule = B3/S23
21bo$4bo3bo11bobo$3bobobobo9bo3bo$4b2ob2o9bo3bo$17bo3bo$16bo3bo$5o3b5o
4bobo$ob4ob4obo5bo$2obobobobob2o$bobobobobobo$2b3o3b3o$3bo5bo$15b3o$14b
o3bo$13bo5bo$8b3o3bo3bo$7bo3bo3b3o$6bo5bo$7bo3bo$8b3o$16bo5bo$15b3o3b
3o$14bobobobobobo$13b2obobobobob2o$7bo5bob4ob4obo$6bobo4b5o3b5o$5bo3b
o$4bo3bo$3bo3bo9b2ob2o$2bo3bo9bobobobo$3bobo11bo3bo$4bo!

(3) the fact that, with the help of an eater 2 (only deleting a B-heptomino), the seemingly random ash below is spontaneously able to restore into a HF hassler given the right spark and THEN, reacting with another HF, restores into the same seemingly random ash as before seems really unlikely to me (it also can be overclocked at p110, which I think is cool)

Code: Select all

x = 69, y = 38, rule = B3/S23
32bo$31bobo$31bobo$29b3ob2o$28bo$29b3ob2o$31bob2o$61b2o$60bobo$36b2o5b
o$35bo2bo3bobo$36b2o3bo2bo3bo$42b2o3bobo8b2o3b2o$2b2o6b2o35bobo7b2o5b
2o$bo2bo4bo2bo35bo9b2o3b2o$6o2b6o45bo3bo$bo2bo4bo2bo28b2o9bo$2b2o6b2o
29bobo7bobo$42bo8b2o$16b2o8bo$15bobo7bobo29b2o6b2o$16bo9b2o28bo2bo4bo
2bo$5bo3bo45b6o2b6o$4b2o3b2o9bo35bo2bo4bo2bo$3b2o5b2o7bobo35b2o6b2o$4b
2o3b2o8bobo3b2o$20bo3bo2bo3b2o$24bobo3bo2bo$25bo5b2o$6bobo$6b2o$34b2o
bo$34b2ob3o$40bo$34b2ob3o$35bobo$35bobo$36bo!

[muzik]

Are there any finite stabilizations of squaredance which are centered on the D4_+4 symmetric regions, rather than the C4_4 symmetric regions?

[I6_I6]

Who controls the built-in object names in catagolue?