SlowLifeB0 - A very interesting B0 rule

[iddi01]

Catagolue census page
Old Catagolue census page (does not work)

Important links:
The full tabulation of elementary wickstrecher reactions
The 3x3 block search

Important note for apgsearchers (skip this if you don't use apgsearch) Don't apgsearch using the rulestring, that way your hauls will never get committed! Instead, after configuring apgluxe with the rulestring once, go to lifelib/rules under your apgmera folder, copy/paste xb0123456aeis5-ky.h in the same folder, rename the copy x8x4xslowlifeb0.h, and open the file and change the string after "namespace" to x8x4xslowlifeb0 as well. Then, you can search x8x4xslowlifeb0.

SlowLifeB0 (B0123456aei/S5-ky) is a semi-stable rule designed to support many patterns from B3/S23, while having vastly different dynamics from it and other rules. The name is due to patterns evolves noticeably slowly.
(The additional "B0" is due to the name "SlowLife" is already taken. Some people prefer other names, such as "Sl0wLife" or "New SlowLife".)

It is extremely versatile in oscillators and useful reactions, of which can be used to construct many different things and even to prove it Turing-complete.

Its earlier version is the life-like rule B0123456/S5, which in some ways has similar dynamics, but is explosive. It is now obsolete and can be ignored.

To start off, here's a small and slightly messy pattern collection:

Code: Select all

x = 154, y = 21, rule = B0123456aei/S5-ky
$81b2ob2o7b2o$49bo2bo29b3o8b2o$42bo7b2o5b3o4b3o16bo8bobo$5b2o3b2o7b2o
5bo6b3o5b3o6b2o7bo6bo7b2ob2o4bo8b3o$5bo5b2o6b2o4b3o4b4o6bo6bo2bo5bo7bo
8b3o5bo7b2obo$4b2o5bo5b2o6b3o4b3o39b2ob2o3b3o$17b2o7bo4b4o47bobo$31b3o
2$4bobo3b2obo$4b3o3b4o22b7o46bo23bobo17b2o$11b2o8b2obob2o8b7o11b2o9bo
4b3o5b3o6bobo5b2o7b2o8bo18b2o$4b3o3b4o8b5o9b3ob3o11bo9b2o5b2obobob2o8b
obo4bo8bo8bobo29b2obo$4bobo3b2obo7b2obob2o8b2o3b2o11b2o7b2o5b5ob5o7bo
16bobo9b2o13b2o12b4o$36b3ob3o20bo7b3o3b3o18bo7b2o8b3o13b3o12bob2o$36b
7o7b3o17b5ob5o16b2o17b3o13bo$36b7o7bobo18b2obobob2o39b3o$70b3o5b3o38b
3o$119b3o!

That infinite growth is the key pattern, for it is the basis of most useful reactions. It is a wickstrecher for this reburnable fuse:

Code: Select all

x = 9, y = 52, rule = B0123456aei/S5-ky:T9,52
4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b
3o$4bo$3b3o$4bo$3b3o$3b3o$b7o$2b5o$b7o$b7o$2b5o$4bo$3b3o$4bo$3b3o$4bo$
3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4bo$3b3o$4b
o$3b3o$4bo$3b3o$4bo$3b3o!

Here are some example reactions based on it (here's the full tabulation):

Code: Select all

x = 92, y = 52, rule = B0123456aei/S5-ky
22b2ob2o17bo3bo$23b3o17b3ob3o$22b2ob2o17bo3bo3$23bobo$23b3o$24bo$23b3o
$23bobo5$24bo$23b3o$24bo10$79b2ob2ob2ob2o$68bo11b3o3b3o$68bo10b2ob2ob
2ob2o$68bo$4b3o14$3b2ob2o36b2ob2o17b2ob2o$4b3o15b2ob2o18b3o19b3o12b2ob
2o$5bo17b3o20bo21bo14b3o$5bo18bo21bo21bo15bo$4b3o16b3o19b3o19b3o14bo$
4bobo16bobo19bobo19bobo13b3o$83bobo!

Here's an example construction (doesn't do anything useful though):

Code: Select all

x = 25, y = 120, rule = B0123456aei/S5-ky
$12bo$11b3o$11b3o$11b3o$12bo2$3b19o$3b19o$3b19o$3b19o$3b8o3b8o$3b19o$
3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b
19o$3b19o$3b7o2bo2b7o$3b8o3b8o$3b9ob9o$3b9ob9o$3b9ob9o$3b19o$3b19o$3b
19o79$10b2ob2o$11b3o$3bo8bo10bo$3b2o6b3o2b2o4b2o$4b5o2b3o3b6o$3b2o7bo
3b2o4b2o$3bo7b3o9bo$11bobo!

The top reaction with spaceships is probably this reflector (and both the spaceship and the reflector is common):

Code: Select all

x = 12, y = 12, rule = B0123456aei/S5-ky
9b3o$9b3o$9b3o4$3b3o$5bo$5bo$bo$3o$bo!

Some other reactions with spaceships, with each of them being potentially useful:

Code: Select all

x = 197, y = 70, rule = B0123456aei/S5-ky
6$130bobo42b2o$131bo42b4o$95b2o33bobo42b2o$78b2o15b2o8b2o27b2o44bo$78b
o15bobo8b2o26b3o43b2o$53bo24b2o14b3o36b3o42b2o$54bo38b2obo$13b2o21b2o
14b3o19b3o$12b2o23b2o35bobo$12bo25bo41b2o$80b2o$57b2o$57b2o$33b2o$15b
2o16b2o$15b2o2$96b2o$96b2o7b2ob2o$95bobo8b3o$95b3o7b2ob2o$94b2obo2$
146b2o42b2o$146b2o42b2o$145bobo41bobo$145b3o41b3o$144b2obo40b2obo4$96b
2o$96b2o$95bobo$95b3o7b2o$94b2obo7b2o14$93b3o$13b3o77b3o3b3o$13b3o77b
3o3bo$13b3o84bo3$18b3o$18bo$18bo!

According to Catagolue data, here's the top 5 most common objects, from left to right:

Code: Select all

x = 29, y = 7, rule = B0123456aei/S5-ky
2$2o2b2ob2o2b3o3b3o7bo$2o3b3o5bo5bo6b3o$4b2ob2o3bo6bo7bo!

Below are important patterns that are highly possible in SlowLifeB0 but are not yet discovered:

Very high period oscillators (above 100)
Stable (not periodic) reflectors
"Corderships" based on the infinite growth pattern
Something to prove the rule Turing-complete
Oblique spaceships
Useful syntheses

As you can see, constructing things and discovering oscillators are both much easier than in most other rules.
And this rule is not even intended to have so many nice stuff when it's been discovered.

[b-engine]

Well, explosions are still noticeable, especially when you run it at high speed:

Code: Select all

x = 16, y = 16, rule = B0123456/S5
bobob3o2b6o$obob2ob3obo2b2o$9bob3o$2b2o2bo5b3o$5obo2bo2b3o$o2bobobob2o
3bo$3b2obobob2obobo$2bobo5bobob2o$bo3b2o3bob3o$8b2obo2b2o$ob2o4bobo2b
obo$b3ob4o3b3o$o3bo2bo2b5o$ob2obo3b5o$3o3bobob3ob2o$3bobob2o2b4o!
[[ STEP 64 ]]

(Un)fortunately, there's already some research on B0 (strobing) rules.

EDIT:
The L-pentomino moves at c/6 diagonal.

And this p12:

Code: Select all

x = 5, y = 7, rule = B0123456/S5
3o$b2obo$5o$b3o$5o$b2obo$3o!

[iddi01]

EDIT:
The L-pentomino moves at c/6 diagonal.

I found that, and that's the 6th intresting point of this rule.

Although in the first post i didn't tell you what exactly what it is because i'd like people to discover it themselves.

Why is it the 6th intresting point? Because every other (edit: outer-totalistic) rule i know in which the glider works has all other spaceships quite rare.

[b-engine]

Why is it the 6th interesting point? Because every other rule i know in which the glider works has all other spaceships quite rare.

Not quite. Here's a rule that glider exists while having other common spaceships:

Code: Select all

x = 50, y = 50, rule = B3/S23|B2ei3aejr6a/S23-c4intz
b4o2bobobo2b3ob7ob2o5b3o3b2o3b2o2bo$b4o2b2o2bob2o4bobo4b4ob2obo3b3o2b
3o3bo$2b6ob2o3bo3b7o2b4obob2o2bo2b5ob3o$b5o4bo2b3ob2ob4obo2b12obo2b5o
$ob3ob5o6bobob4obobobo3b2ob6ob3o2bo$bo2bob2obo4bob2o2bo3b2ob6o2b2obo4b
ob3o$obob2o2b2ob2ob4obo2bo2bo5b2o8bob2ob2o$2b2o2bo3b4obobo2bo2b2ob2ob
ob3o2b2o5b3o2bo$ob3o2bo4bobobo2bo4bob2ob2o3b2o5bob2o2bo$obo2bo2b4ob2o
3b3obob3o3b2o2bob2o2bob2obo2b2o$2bo3bob4obo2b5o2b2ob2obob3ob2o2bo3bob
ob2o$2ob7ob4obo2b2o2bob5o3b3o4bobo$ob5obobo2bo3b5o4b2obo2bobo2bo3b3o4b
o$4o3b3obob4o3bobobo2b4ob2ob2ob2o2bo2b2ob2o$2b3ob4o3bob3obobo3bo4bob3o
4b6obobo$b3o3b2o2bobob2o2bo3bo2b3ob2ob2obob2obo2b5o$bo3bo2bobo2b2o4b3o
2b5o2bo2bo2bobo7bobo$o2b2o4bob5ob2obo2bobo2b6ob4ob6o2bo$2bob3obo2b2o8b
2obo2b3obob4ob3o4bo2bo$2o4b2obobobo2bo2b2ob2o2bob2o2bo2b2ob2ob3ob4o$b
3obo4b2o3bo6bobob3obob3o3bob2o3b2o$b2obo3b6o3b5o2b2o4b2ob5o2b2o2bob2o
$o2b2o2bo2bo2bob4obo4b13ob3o3bob3o$b4o3bo2b2o5b3ob2obob2ob2o5b2o5b3o2b
o$ob4o4b5ob5o2bo2bo3b3ob3ob3o4bo3bo$obobob3o3bob2obob2obob3obo3b2o2b2o
bobo3bob2o$2ob8obob2o4bo4b3o4bobobo3b3o2b4o$3o3bobo3bobob3o3bo2bobobo
2b6ob2o2bobob2o$obo3bobo2b3ob4ob2o4bob3ob2o3b3ob4o3b2o$bobo2b3ob2o5bo
7b4o2bobob2o2b2o2b2ob2o$b3ob5o2b2o4b2ob2o2bob2o2b2obo2bobobobo$o2b2ob
ob3o5b3o3bobo4b2ob2o3b2obobo3bob2o$o2bo4b2ob2obo2bo4b2obob3o2b2o4b2o2b
3obob2o$3b3obobo3bo2bob4obobob3o3bobob2o4b4obo$o2b2o2bob2ob2o2b10ob3o
4bo2b5ob3obobo$o3bobobob3obo4bo3b2obo3bob3obo2bo4bo2b3o$2o3b2o2b2ob4o
b3o3b2ob5o2b2o2b4o2bo4bo$2ob2ob3ob4o2bob2ob4ob5o3b2obobobob2o2b3o$ob2o
3bob3o5bo2b2ob2obo2b2o2bobob3obobobo2b2o$2obobob3o2b3obo3b3ob2o2b2obo
2bo5bo2bo$o2b3o2bo2bo3bo7bobob3o4bo2bob2o2b2ob3o$ob2obo6bo2b4o2b2ob2o
bob3o2b5o5b3obo$b2ob2o14bo2bo4b2o5b2o2b3ob4o$b3o2b7obobobobo5bo3bo3b2o
b3ob5o2b2o$2bo2b2obob2ob2o2bo3b2o3b6o2b3o3b3o3b2o$5obo2bo2bob2ob7obo3b
2ob2o3bobo4b3ob2o$3obob4ob4o4bo3b2o4bob8obobo5b2o$b2o2bob4o4b3ob3o2b4o
2b2ob2ob2o3b3o3b2o$b2obob2o3b2o2bob2o2b2ob2o2bo2b2o2bo4bo2b2ob2obo$o2b
o3b2o2bo2b3o3bobobo2b2ob2o2bobo4bo6bo!

I recorded the appearance of up to 7 common spaceships:

Code: Select all

x = 57, y = 6, rule = B3/S23|B2ei3aejr6a/S23-c4intz
7b3o4b3o4b3o4b3o4b3o15bobo$3o4bobo4bo2bo3bo2bo4bo7bo15bob2o$obo4bobo4b
o6bo14bo16b3o$14bo6bo25b2o$22bo24b2o$14bobo!

EDIT:
There's 1 OT rule that glider works along with a common 2c/8 orthogonal spaceship (even though it's rarer than glider):

Code: Select all

x = 16, y = 16, rule = B367/S23
3bo5b7o$b2o2bo3bobo2bo$b2o3b2o3b3o$3b8o3b2o$3o2b3ob3obo$b2ob3obobo2b2o
$o2b6o2bob2o$2bob2obob4obo$obob2o4b2ob3o$obobobobob2obo$6o2b2o2b3o$7b
o4b2obo$6bo4bo2b2o$2o9b4o$obobo2b2ob2o$ob3ob2o2b2obo!
[[ STEP 64 ]]

[FWKnightship]

C/6, also works in B0124567/S01:

Code: Select all

x = 19, y = 38, rule = B01245678/S01
9bo$3b4obobob4o$2bobo2bobobo2bobo$3b2o2bo3bo2b2o$2bo6bo6bo$4b3o2bo2b3o
$4b3o2bo2b3o$5bo2b3o2bo$4b3o5b3o$2bo2b4ob4o2bo$bobo2b3ob3o2bobo$2b2obo
2b3o2bob2o$2b4o2b3o2b4o$6obo3bob6o$3obo2bo3bo2bob3o$bo4bo5bo4bo$bo2bo
9bo2bo$6b2obob2o$3b2obo2bo2bob2o$2b3o2bobobo2b3o$2b2o3bobobo3b2o$4b3o
2bo2b3o$4b5ob5o$2b4o2b3o2b4o$2b4o2bobo2b4o$4b2o7b2o$3bob3o3b3obo$2bobo
b7obobo$2bo2b9o2bo$b2o3b7o3b2o$3bo2bob3obo2bo$2b2o4b3o4b2o$b2o5b3o5b2o
$b2o3b7o3b2o$8b3o$8b3o$9bo$8bobo!

[b-engine]

C/6, also works in B0124567/S01:

Code: Select all

x = 19, y = 38, rule = B01245678/S01
9bo$3b4obobob4o$2bobo2bobobo2bobo$3b2o2bo3bo2b2o$2bo6bo6bo$4b3o2bo2b3o
$4b3o2bo2b3o$5bo2b3o2bo$4b3o5b3o$2bo2b4ob4o2bo$bobo2b3ob3o2bobo$2b2obo
2b3o2bob2o$2b4o2b3o2b4o$6obo3bob6o$3obo2bo3bo2bob3o$bo4bo5bo4bo$bo2bo
9bo2bo$6b2obob2o$3b2obo2bo2bob2o$2b3o2bobobo2b3o$2b2o3bobobo3b2o$4b3o
2bo2b3o$4b5ob5o$2b4o2b3o2b4o$2b4o2bobo2b4o$4b2o7b2o$3bob3o3b3obo$2bobo
b7obobo$2bo2b9o2bo$b2o3b7o3b2o$3bo2bob3obo2bo$2b2o4b3o4b2o$b2o5b3o5b2o
$b2o3b7o3b2o$8b3o$8b3o$9bo$8bobo!

Wait. It doesn't work in B0123456/S5:

Code: Select all

x = 19, y = 38, rule = B0123456/S5
9bo$3b4obobob4o$2bobo2bobobo2bobo$3b2o2bo3bo2b2o$2bo6bo6bo$4b3o2bo2b3o
$4b3o2bo2b3o$5bo2b3o2bo$4b3o5b3o$2bo2b4ob4o2bo$bobo2b3ob3o2bobo$2b2obo
2b3o2bob2o$2b4o2b3o2b4o$6obo3bob6o$3obo2bo3bo2bob3o$bo4bo5bo4bo$bo2bo
9bo2bo$6b2obob2o$3b2obo2bo2bob2o$2b3o2bobobo2b3o$2b2o3bobobo3b2o$4b3o
2bo2b3o$4b5ob5o$2b4o2b3o2b4o$2b4o2bobo2b4o$4b2o7b2o$3bob3o3b3obo$2bobo
b7obobo$2bo2b9o2bo$b2o3b7o3b2o$3bo2bob3obo2bo$2b2o4b3o4b2o$b2o5b3o5b2o
$b2o3b7o3b2o$8b3o$8b3o$9bo$8bobo!

Perhaps you should've posted in other place?

[FWKnightship]

Wait. It doesn't work in B0123456/S5:
Perhaps you should've posted in other place?

Sorry, I accidentally posted a wrong RLE, this spaceship is correct:

Code: Select all

x = 38, y = 19, rule = B0123456/S5
13b2o$10b2ob3o13b5o$2b2o5bob4o3b3o2b3ob3ob3o$bobobo3b5obob4o2b2obo2b3o
$4ob2obo3b3o2b3ob5obo$2o3b5ob3ob2o2bob6obo$bo2b3ob3o5b4ob2obob5o$b2o3b
2ob2ob3ob2ob2obo2b5o3bo$bo2b2obob4o4bo4b3o2b9o$obo2b3o3b3o4b4obo2b12o$
bo2b2obob4o4bo4b3o2b9o$b2o3b2ob2ob3ob2ob2obo2b5o3bo$bo2b3ob3o5b4ob2obo
b5o$2o3b5ob3ob2o2bob6obo$4ob2obo3b3o2b3ob5obo$bobobo3b5obob4o2b2obo2b
3o$2b2o5bob4o3b3o2b3ob3ob3o$10b2ob3o13b5o$13b2o!

(I just ran the previous spaceship for 1 steps, then change the generation to 0, and change the rule to B0123456/S5)

[iddi01]

I think we should explore the basic objects first...
Here are the bunch of small oscillators and spaceships (although some are predecessors) i've discovered so far:

Code: Select all

x = 113, y = 10, rule = B0123456/S5
65b4o$65bo2bo$7bo4b2o6b2o15bo7b2o18bo2bo14b3o11b3o$3o3b3o4b2o4b4o3b7o
4b2o5bobo5b8o5b4o14bobo10bob2o6b4o$7bo5bo6b2o16b2o6bo38bo11bobo6b4o$
98bo7b4o$106b4o$111bo$110b2o!

edit: This rule is really full of oscillators! discovered another one accidentally right after:

Code: Select all

x = 5, y = 5, rule = B0123456/S5
2o$obo2$b2obo$bobo!

[b-engine]

Don't forget to include this:

Code: Select all

x = 4, y = 4, rule = B0123456/S5
o2bo$4o$4o$o2bo!

Why do you think that an explosive rule is interesting?

EDIT:
2c/4 fuse (equals to 2c/2 in non-strobing rule)

Code: Select all

x = 95, y = 4, rule = B0123456/S5
2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobob2o$b94o$b93o$2obobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o!

[iddi01]

Why do you think that an explosive rule is interesting?

First, small patterns are unlikely to explode, instead likely stabilizing in a surprising way;
Second, the way things explode is interesting by itself: slow and uncertain, while forming maze-like patterns in some places, and black/white spots in others.
I've tried alternatives, but they cause many Life patterns to not work, and small patterns tend to disappear which IMHO is just not as fun...

[b-engine]

First, small patterns are unlikely to explode, instead likely stabilizing in a surprising way;
Second, the way things explode is interesting by itself: slow and uncertain, while forming maze-like patterns in some places, and black/white spots in others.
I've tried alternatives, but they cause many Life patterns to not work, and small patterns tend to disappear which IMHO is just not as fun...

I didn't think that explosions are interesting; I'm not a person that likes to watch explosions.
Some small patterns do stabilize, but there're more small patterns that explodes. Take this 4x4 soup for example:

Code: Select all

x = 4, y = 4, rule = B0123456/S5
4o$obo$o2bo$b2o!

Even 4x4 soups are already explosive; not to mention larger soups.

[iddi01]

First, small patterns are unlikely to explode, instead likely stabilizing in a surprising way;
Second, the way things explode is interesting by itself: slow and uncertain, while forming maze-like patterns in some places, and black/white spots in others.
I've tried alternatives, but they cause many Life patterns to not work, and small patterns tend to disappear which IMHO is just not as fun...

Well, I didn't think that explosions are interesting; I'm not a person that likes to watch explosions.
Some small patterns do stabilize, but there're more small patterns that explodes. Take this 5x5 soup for example:

Code: Select all

x = 5, y = 5, rule = B0123456/S5
5o$2ob2o$bo2bo$ob2o$3b2o!

Well, you can try out B012345/S45, but it's a totally different rule, and the two spaceships does not work.

[b-engine]

Well, you can try out B012345/S45, but it's a totally different rule, and the two spaceships does not work.

No patterns can escape their bounding diamond, means that no spaceships or infinite growth exists.
You can try to rulegolfing an isotropic non-totalistic rule.

[iddi01]

You can try to rulegolfing an isotropic non-totalistic rule.

Got a good one: B0123456aei/S5-ky

Code: Select all

x = 13, y = 12, rule = B0123456aei/S5-ky
10bo$10bo$10b3o$5b2o$6b2o$7bo3$b2o$obo5b3o$2bo5bo$8bo!

[b-engine]

Got a good one: B0123456aei/S5-ky

Code: Select all

Useless synthesis

Great. Any ideas to prove it Turing complete?

EDIT:
Natural 2c/20, also the first known orthogonal spaceship:

Code: Select all

x = 5, y = 4, rule = B0123456aei/S5-ky
2ob2o$b4o$3o$b2o!

P8:

Code: Select all

x = 5, y = 4, rule = B0123456aei/S5-ky
2o$o$4bo$3b2o!

P16:

Code: Select all

x = 4, y = 3, rule = B0123456aei/S5-ky
2b2o$b2o$2o!

Interesting reaction:

Code: Select all

x = 13, y = 7, rule = B0123456aei/S5-ky
10b3o$10b3o$10b3o2$bo$b2o$obo!

SlowLife is truly having many oscillators, but is it omniperiodic? We'll need to find stable reflectors for proving the rule omniperiodic.

[FWKnightship]

Some oscillators in B0123456/S5:

Code: Select all

x = 109, y = 254, rule = B0123456/S5
12b2obo$12bob2o11bobo$10b2o16bo$10bo15b5o$11bo13bob3obo$10b2o11bob7obo
$12b2obo8b9o$12bob2o7bob7obo$10b2o4b2o7bob3obo$10bo5bo9b5o$11bo5bo10bo
$10b2o4b2o9bobo$12b2obo$12bob2o6$12b2obo$12bob2o$10b2o4b2o5b2o2b2o2b2o
$10bo5bo6b2ob4ob2o$11bo5bo8b4o$10b2o4b2o6b2ob2ob2o$12b2obo7b10o$12bob
2o7b10o$10b2o4b2o6b2ob2ob2o$10bo5bo9b4o$11bo5bo5b2ob4ob2o$10b2o4b2o5b
2o2b2o2b2o$12b2obo$12bob2o5$5b2o5b2obo$6bo5bob2o$5bo4b2o4b2o7b2o$5b2o
3bo5bo7bo2bo$11bo5bo6bobo$5b2o3b2o4b2o5b2o2bobo$6bo3bo5bo6bo2bobobo$5b
o5bo5bo6b2o4bo$5b2o3b2o4b2o7bob3o$10bo5bo8b3o$5b2o4bo5bo$6bo3b2o4b2o7b
3o$5bo6b2obo9bobo$5b2o5bob2o7$5b2o5b2obo$6bo5bob2o$5bo10b2o$5b2o9bo$
17bo7bo11bo$5b2o9b2o6b2o7bobobobobo$6bo5b2obo7bo9b3obob3o$5bo6bob2o7b
2o2b2o7b2o$5b2o3b2o13bobo7bo3b3o$10bo14b2o8b5obo$5b2o4bo25bo$6bo3b2o$
5bo6b2obo$5b2o5bob2o8$5b2o3b2o3b2o$6bo3b2o3b2o24bo3bo$5bo20bo2bo11b5o$
5b2o3b2o3b2o9b4o10bo2bo2bo$10bobobobo9b4o9bo7bo$5b2o5bobo8b3o4b3o4b2o
9b2o$6bo4b2obo9b2o4b2o6bo9bo$5bo9b2o7b2o4b2o6b2o7b2o$5b2o9bo6b3o4b3o5b
o9bo$15bo10b4o7b2o9b2o$5b2o8b2o9b4o9bo7bo$6bo9bo9bo2bo10bo2bo2bo$5bo9b
o25b5o$5b2o8b2o24bo3bo8$28b2ob2o66b2ob2o$5b2o5b2obo13bobo35b2o15bo15bo
bo$6bo5bob2o12b2ob2o29b3o2b4o12bobob2o10b2ob2o$5bo4b2o4b2o11bobo31b2ob
5o14bobo12bobo$5b2o3bo5bo12bobo29b8o16bob2o11bobo$11bo5bo5bobo2b5o2bob
o12b2o7bob8o12b4o3bo5bobo2b5o2bobo$5b2o3b2o4b2o5b15o5b2obo3b4o5b8o13bo
4b3o6b15o$6bo5b2obo12b5o10b11o5b8o13bo2b2o14b5o$5bo6bob2o7b15o6b8o9b4o
12bo2bobob2o8b15o$5b2o3b2o4b2o5bobo2b5o2bobo6b8o8b5o11bo3bob2o10bobo2b
5o2bobo$10bo5bo12bobo14bo2bo8b5o14b3obobo16bobo$5b2o4bo5bo11bobo26b5o
18bo18bobo$6bo3b2o4b2o10b2ob2o26b2o16b3obo17b2ob2o$5bo6b2obo13bobo27b
2o16bob2o19bobo$5b2o5bob2o12b2ob2o66b2ob2o12$2b2obo6b2obo$2bob2o6bob2o
$6b2o2b2o4b2o$6bo3bo5bo8b2o18b2o$7bo3bo5bo7bo9b2o9bo$6b2o2b2o4b2o5b3ob
ob3o3b2o3b3obob3o$2b2obo4bo5bo6bo2b6ob6ob6o2bo$2bob2o5bo5bo7b22o$2o8b
2o4b2o8b20o$o9bo5bo9b20o$bo9bo5bo10bo2bo2bo2bo2bo2bo$2o8b2o4b2o$2b2obo
6b2obo$2bob2o6bob2o9$38b2o6bo$38bobob2obobo$2b2obo6b2obo24bob2obo2bo$
2bob2o6bob2o23bobo2bob5o$6b2o8b2o21bobob2ob5o$6bo9bo23bobobo2b5o$7bo9b
o6b2obo14bo2bob4o$6b2o8b2o6b7o10b4o2b4o$2b2obo6b2obo9b7o11bo2b6o$2bob
2o6bob2o8b7o12bo2b6o$2o8b2o13b6o10b4o2b4o$o9bo14b4o13bo2bob4o$bo9bo13b
4o11bobobo2b5o$2o8b2o14bo12bobob2ob5o$2b2obo6b2obo23bobo2bob5o$2bob2o
6bob2o24bob2obo2bo$38bobob2obobo$38b2o6bo16$46bo2bo2bo2bo$46b4o2b4o$
50b2o$2b2obo6b2obo25bobo2b3o4b3o2bobo$2bob2o6bob2o18b2o5b6obob2obob6o$
6b2o2b2o21b3o11bob4obo$6bo3bo16bo3bob2o6b5obo2b2o2bob5o$7bo3bo15b9o5bo
4bobo4bobo4bo$6b2o2b2o13b2ob7o7bobobo2bo2bo2bobobo$2b2obo6b2obo10b9o8b
3o10b3o$2bob2o6bob2o10b7o$2o8b2o4b2o8b7o10b3o10b3o$o9bo5bo8b6o11bobobo
2bo2bo2bobobo$bo9bo5bo8b5o10bo4bobo4bobo4bo$2o8b2o4b2o6b5o12b5obo2b2o
2bob5o$2b2obo6b2obo7b6o18bob4obo$2bob2o6bob2o7b2obo14b6obob2obob6o$41b
obo2b3o4b3o2bobo$50b2o$46b4o2b4o$46bo2bo2bo2bo8$61b2o$61b2o$27bob2o4b
2obo21b4o$27b3obo2bob3o15bo3b8o3bo$25b2o3bo4bo3b2o12bob14obo$2b2obo6b
2obo9b2obo3b2o3bob2o13b16o$2bob2o6bob2o7b2o2b12o2b2o11b16o$6b2o2b2o4b
2o6bob14obo12b16o$6bo3bo5bo6b2o2b12o2b2o10b18o$7bo3bo5bo5bobob12obobo
10b18o$6b2o2b2o4b2o6bo2b12o2bo10b20o$2b2obo4bo5bo9b14o10b24o$2bob2o5bo
5bo8b14o10b24o$6b2o2b2o4b2o6bo2b12o2bo10b20o$6bo3bo5bo6bobob12obobo10b
18o$7bo3bo5bo5b2o2b12o2b2o10b18o$6b2o2b2o4b2o6bob14obo12b16o$2b2obo6b
2obo7b2o2b12o2b2o11b16o$2bob2o6bob2o9b2obo3b2o3bob2o13b16o$25b2o3bo4bo
3b2o12bob14obo$27b3obo2bob3o15bo3b8o3bo$27bob2o4b2obo21b4o$61b2o$61b2o
9$2b2obo6b2obo$2bob2o6bob2o$6b2o8b2o$6bo9bo9b2o$7bo9bo6b3obo$6b2o8b2o
5bo3bo$2b2obo6b2obo8b2o3b2o$2bob2o6bob2o10b4o$6b2o2b2o12b2o3b2o$6bo3bo
12bo3bo$7bo3bo12b3obo$6b2o2b2o14b2o$2b2obo6b2obo$2bob2o6bob2o!

[Haycat2009]

[ CENSORED ]

[wildmyron]

- In odd-numbered generations, it's B3/S2345678;
- In even-numbered generations, it's B78/S01234678.

It is not - running it as an alternating rule (B3/S2345678|B78/S01234678) does not work.

No, it is. i.e. iddi01 is correct.

The first generation is gen 0, which is even, so the corresponding alternating rule is B78/S01234678|B3/S2345678

[b-engine]

This is the engine of the c/12 wickstretcher; How to corderize it?

Code: Select all

x = 5, y = 4, rule = B0123456aei/S5-ky
2ob2o$b3o$2bo$b3o!

[iddi01]

A really nice reaction, with the best at the very end:

Code: Select all

x = 25, y = 120, rule = B0123456aei/S5-ky
$12bo$11b3o$11b3o$11b3o$12bo2$3b19o$3b19o$3b19o$3b19o$3b8o3b8o$3b19o$
3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b19o$3b
19o$3b19o$3b7o2bo2b7o$3b8o3b8o$3b9ob9o$3b9ob9o$3b9ob9o$3b19o$3b19o$3b
19o79$10b2ob2o$11b3o$3bo8bo10bo$3b2o6b3o2b2o4b2o$4b5o2b3o3b6o$3b2o7bo
3b2o4b2o$3bo7b3o9bo$11bobo!

[b-engine]

Accidental p24:

Code: Select all

x = 17, y = 5, rule = B0123456aei/S5-ky
2ob2o3bo3b2ob2o$5ob5ob5o$b15o$17o$2o2bo2bobo2bo2b2o!

EDIT:
Signals can have thickness, so we can use them instead of just 0 and 1. Also 18096M:

Code: Select all

x = 11, y = 552, rule = B0123456aei/S5-ky
3b2ob2o$2bob3obo$3bobobo$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o
$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo
$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$
5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b3o$5bo$4b
3o$5bo$4b3o$5bo$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o
$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o
$4b3o$3b5o$4b3o$2b7o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o
$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b
7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o
$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$
b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b
7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o
$2b7o$11o$b9o$11o$b9o$ob7obo$2b7o$b9o$2b7o$b9o$2b7o$b9o$3b5o$3b5o$4b3o
$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o
$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o
$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$3b5o$4b3o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b
7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b9o
$2b7o$b9o$2b7o$b9o$2b7o$b9o$2b7o$b2obobob2o!

[hotcrystal0]

Sorry, but there already exists another rule named SlowLife: viewtopic.php?t=5231

[iddi01]

After fixing several technical difficulties, i hauled the very first bunch of soups of B0123456aei/S5-ky anonymously to Catagolue.

You can view them through this link: https://catagolue.hatsya.com/haul/b0123456aeis5-ky/C1

According to the data, here's the top 5 most common objects, from left to right:

Code: Select all

x = 29, y = 6, rule = B0123456aei/S5-ky
2$2o2b2ob2o2b3o3b3o7bo$2o3b3o5bo5bo6b3o$4b2ob2o3bo6bo7bo!

Also, from now on this rule will be called either "SlowLifeB0" or "New SlowLife". (see above post for reason)

[b-engine]

Some kick-back like thing:

Code: Select all

x = 37, y = 5, rule = B0123456aei/S5-ky
3bo32bo$ob2o29bob2o$3o30b3o$ob2o29bob2o$3bo32bo!

[iddi01]

SlowLifeB0 is truly having many oscillators, but is it omniperiodic? We'll need to find stable reflectors for proving the rule omniperiodic.

Stable reflector found! P45 based on it:

Code: Select all

x = 12, y = 12, rule = B0123456aei/S5-ky
9b3o$9b3o$9b3o4$3b3o$5bo$5bo$bo$3o$bo!