ACL_Gunner wrote:So I decided to study B25/S24, and came up with this:

Most things are explosive, BUT NOT ALL. There are at least 2 oscillators, a few puffers, and at least 1 spaceship.

Welcome to the forum. This is a relatively unexplored rule (certainly on this forum) but also, as you note, particularly explosive. I guess that up until now you have just tried evolving random patterns and seeing what emerges. This is a good way to get a feel for the rule but not a good way to discover new patterns of the type you mentioned. The oscillators and spaceship you mentioned are well known, particularly as they all work in a large range of rules which all have B2.

The two most well explored B2 rules are

Seeds and

Live Free or Die. You can find threads for both of these rules in this forum. Unfortunately, searching the forum for patterns which work in these rules can be tricky because the search function does not support 2-char strings like B2.

I'll provide some comments specific to each of the patterns you posted:

ACL_Gunner wrote:Oscillators:

Code: Select all

```
#CXRLE Pos=-10,-11
x = 8, y = 3, rule = B25/S24
6bo$o$bo3b3o!
```

The p2 is known as the

duoplet (or checker) and is probably the most universal oscillator which works in the largest number of Life-Like rules

The p4 works in 4096 different rules which are all rules in the range B2/S2 - B25678/S2345678

(Interpret this as any rule which contains B2 and S2 in the rulestring, may contain any of B5, B6, B7, or B8 and any of S3, S4, S5, S6, S7, or S8, but does not contain B0, B1, B3, or B4, nor any of S0 or S1.)

ACL_Gunner wrote:Puffers:

Code: Select all

```
#CXRLE Pos=-3,-3
x = 3, y = 3, rule = B25/S24
2o$o$b2o!
```

Is this the pattern you intended to post? It is not a puffer because it evolves chaotically like nearly every other pattern in this rule.

ACL_Gunner wrote:And spaceships:

Code: Select all

```
#CXRLE Pos=0,-2
x = 4, y = 3, rule = B25/S24
b2o2$o2bo!
```

This is one of three small photons (spaceships travelling at the speed of light, i.e. one cell per generation) which are common to many B2 rules. I'm not sure if it has an accepted name or not. It is the only one of the three which works in this rule.

There are two other spaceships known in this rule. They are

listed in David Eppstein's database of gliders in 2D CA.

If you are interested in exploring this rule further, I suggest you have a look at search software mentioned in the

Game of Life Links thread. In particular, WLS and JLS allow you to search for many different types of patterns and gfind is a fantastic program for finding spaceships (at least those which are slower than the speed of light). Not mentioned there is

zfind, but it is limited to narrow spaceships so I'm not sure how useful it will be for this rule.

To give you an idea, here are some spaceships and related wick-stretchers which move at c. They were found with JLS (and are probably not entirely new, but here they are anyway):

Code: Select all

```
# Spaceships and related wick-stretchers in B25/S24
# Includes examples with period of p1, p2, p3, and p4.
x = 65, y = 110, rule = B25/S24
24bo29bo$22bo12bo16bo$6bo15bo10bo18bo$4bo6bo12bo8bo20bo$4bo4bo25bo27bo
$6bo2bo13b14o16b10o$2bob6o12bo12bo16bo$o4bo2bo2bo8bo12bo16bo11b2o$o3b
3o13bo12bo16bo13bo$2bo3bo15bo12bo16bo$3bo2bo$8bo15$16bo29bo$14bo29bo$
14bo29bo15bo$8bo7bo6bo14bo7bo11bob2o$4bo4b14o11bo4b20o$2bo2b2o9bo6bo8b
o2b2o9bo11b3o$2bobo5bo3bo4bo12bobo5bo3bo4bo9bo$4bo4bo3bo2b5o13bo4bo3bo
2b5o8bo$10bo6b3o20bo6b3o9bo$3bo3b2o3bobo4bo13bo3b2o3bobo4bo9bo$2b3obob
2ob2o2b2ob2o12b3obob2ob2o2b2ob2o9bo$o5bo4bo7bo10bo5bo4bo7bo9bo$o5bo4bo
7bo10bo5bo4bo7bo9bo$2b3obob2ob2o2b2ob2o12b3obob2ob2o2b2ob2o9bo$3bo3b2o
3bobo4bo13bo3b2o3bobo4bo9bo$10bo6b3o20bo6b3o9bo$4bo4bo3bo2b5o13bo4bo3b
o2b5o8bo$2bobo5bo3bo4bo12bobo5bo3bo4bo9bo$2bo2b2o9bo6bo8bo2b2o9bo11b3o
$4bo4b14o11bo4b20o$8bo7bo6bo14bo7bo11bob2o$14bo29bo15bo$14bo29bo$16bo
29bo8$14bo$12bo$12bo$14bo$3bo2bo2bo5b2o$2bo3bobo3bobo$o3b3ob2ob3obo$o
4bo2b4o$2bob4o6bo$6bo$4bo$4bo$6bo$2bob4o6bo$o4bo2b4o$o3b3ob2ob3obo$2bo
3bobo3bobo$3bo2bo2bo5b2o$14bo$12bo$12bo$14bo8$15bo$3bo8bo$2bo3bo4b2ob
3o$bob3o2bo2b2obo$ob2obobo5b3o$2o7b2ob3o$4bob2obo3bo$b2o4bo2bo$b3ob2o$
2bob3o$3b3o2bo$ob2obo$ob2obo$3b3o2bo$2bob3o$b3ob2o$b2o4bo2bo$4bob2obo
3bo$2o7b2ob3o$ob2obobo5b3o$bob3o2bo2b2obo$2bo3bo4b2ob3o$3bo8bo$15bo!
```

The p1 line stretcher works in B2/S2, so it is almost certainly known. A significant fraction of small patterns which work in B2S2 will also work in this rule. For example, the smallest still life in B25/S24 is one which also works in B2/S2:

Code: Select all

```
x = 6, y = 6, rule = B25/S24
3bo$bob2o$2o$4b2o$b2obo$2bo!
```

ACL_Gunner wrote:I will update these, so stay in touch!

I hope I haven't bombarded you with a lot of stuff you already knew, and look forward to seeing what you discover.