ConwayLife.com

snowman

on B34knq/S23

p20 backrake:
x = 19, y = 14, rule = B34knq/S23
12b4o$12bo2b2o$13b2ob2o$bo11bo2bo$2o12b2o$obo4$16b2o$15bo2bo$15bo2bo$
14b2ob2o$15b2o!

Bigger p40 ship:
x = 91, y = 29, rule = B34knq/S23
41b2o28b2o$35b2o3bo2bo11b2o14b2o$35b2o3bo14b2o14b2o$41bob2o33b3o$37b3o
b2ob2o5bo25bo3bo ...

snowman

A rule seemingly heretofore undocumented, B34knq/S23 has very strong B-heptomino engines:
x = 3, y = 4, rule = B34knq/S23
2o$b2o$2o$o!

Removing the beehive that forms at generation 69 (done here with a carefully positioned block) makes it revolve over thousands of generations, similarly to the B ...

snowman

p220 oscillator:
x = 4, y = 6, rule = B3-q5i7/S2456
4o$b2o$b2o$b2o$b2o$4o!

8c/41 puffer and p41*2 spaceship:
x = 10, y = 12, rule = B3-q5i7/S2456
5bo$3b3o$b2o3b2o$2b2o2b2o$ob3ob4o$3obo2b2o$3obo2b2o$ob3ob4o$2b2o2b2o$b
2o3b2o$3b3o$5bo!

x = 42, y = 39, rule = B3-q5i7/S2456
26bo$27bo$6bo17bobo ...

snowman

Here's B2in34-rz5er6ei/S2-cn3-a4ik, one of those longlived OWSS rules, but that doesn't seem to have that spacefiller or any single-engine puffers like some of the others.

5c/30 spaceship:
x = 4, y = 5, rule = B2in34-rz5er6ei/S2-cn3-a4ik
3bo$o2bo$o2bo$o2bo$3bo!

A less common 6c/12:
x = 8, y ...

snowman

I think this huge XWSS rule always either stabilizes into a puffer, or the spacefiller if nothing's around:

Code: Select all

x = 6, y = 6, rule = B34cintz5er6i/S23-a
o2$6o$5bo$5bo$4bo!

Code: Select all

x = 5, y = 4, rule = B34cintz5er6i/S23-a
5o$o3bo$o3bo$bobo!

snowman

413781-generation methuselah in a rule with S4i engines, but ones that seem to turn into pairs of c/2 spaceships or a low period puffer:
x = 3, y = 8, rule = B3/S23-n4-ajrwy
b2o$2bo$b2o2$b2o$2bo$3o$o!

It also has two unique spaceships at the same speed, c/6 and 2c/12 diagonal:
x = 15, y = 4 ...

snowman

A glider can flip a still life in B3-r/S234n (explosive, 2TLV):

Code: Select all

x = 8, y = 8, rule = B3-r/S234n
bo$2bo3b2o$3o4bo$4b3o$3bo$4b3o$7bo$6b2o!

7c/54 diagonal LWSS rake in B34w6c/S2-n34n:

Code: Select all

x = 3, y = 4, rule = B34w6c/S2-n34n
2o$b2o$2o$o!

snowman

Galaxy S10 here, LifeViewer works fine for me.

snowman

I want to make some rules with creative definitions. Here is B345678/S2456, but all live cells involved have to form a polyomino: B3ai4a5ai6a78/S2aei4-cknqy5-ejk6-e. It sort of reminds me of a deader version of Move.

There is a failed replicator that travels at 7c/25, but it can be made into a true ...

snowman

Rule with two common guns and a 3c/9:
x = 103, y = 5, rule = B3aijq5i6k/S23-ac4-w
b2o48bo49b2o$obo47b3o48bo$3bo46b2o3bo44b3o$3o49b4o45bo$b2o50bo47b2o!

Sadly, it is explosive at large enough soup sizes.

EDIT: Also two common guns and 3c/9 but explosive at large soup sizes as well:
x = 103, y ...

snowman

Evolves into aesthetically pleasing oscillator in B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei:
x = 154, y = 117, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
9bob2o$9b2obo19$2o$bo$o20bo$2o19b2o$21bobo$22b2o$23bo64$130bo$130b2o$
130bobo$131b2o19b2o$132bo20bo$152bo$152b2o19$141bob2o ...

snowman

Would this 5-cell pattern count? Around 160000 generations it spawns a puffer to the right, but I don't know if it stabilizes.

Code: Select all

x = 6, y = 1, rule = B2in3-q4w/S23
4obo!

snowman

That's actually a growing breeder! This is nice

This failed replicator copies itself in really strange ways, producing puffers:
x = 3, y = 3, rule = B3/S2cen34aiknrwz5acein
2o$3o$2o!

There was a rule I saw a few years ago that had something that propagated like this but the ends would die off ...

snowman

Is "betweening" B4 or S4 off the table, since they have an odd number of transitions? (13)

EDIT: I'm making this post constructive. Spaces involving B3/S345 seem interesting. A rule between B3/S(3)4578 has a (16, 5)c/82 and p34:
x = 4, y = 5, rule = B3/S3aeijn4578
bo$3o$obo$ob2o$2b2o!

x = 8, y ...

snowman

B3aikq4en5ack6n/S2-a3-e45i6n
Linear growth is very common, but it still searches quickly. There is a small c/10 diagonal spaceship and two small c/2 spaceships.

(3, 2)c/8 spaceship and wickstretchers:
x = 14, y = 38, rule = B3aikq4en5ack6n/S2-a3-e45i6n
7bob2o$6b2obob3o$6b2obob3o$8bo4bo$7bo6$9b2o ...

snowman

Sierpinski wickstretcher:

Code: Select all

x = 4, y = 4, rule = B3ai4q5aky6a/S2-a34
3o$o2bo$o$bo!

Oblique wickstretcher that might be able to be turned into adjustable spaceships with a 4-cell pull reaction:

Code: Select all

x = 11, y = 20, rule = B3aiqy4eqw5ack/S2-an3-e45i6c
o$b3o$3bo$2bo$3bo$b3o$o12$9b2o$9b2o!

snowman

On switch engine ping-pong, it currently states:

and it shows that quadratic growth can be synthesized with no more than 7 gliders.

In 2022*, quadratic growth was synthesized using 6 gliders*, so it should be phrased in a way that acknowledges that 7 is no longer the minimum

snowman

That ship was actually found by qqd, I just found an eater for it.

snowman

Ships galore (known c/2o, c/4o, glider, c/8o and c/9o):

Interestingly, A boat can eat all except the c/9:
x = 35, y = 10, rule = B3/S23-a4-aeikn5y6cn7e8
bo$2bo$3o2$18b2o12b2o$17b3o4b5o2bo2bo$18b2o3bo7b3o$5bo18b2o7bo$4bobo
17b2o$4b2o!

The slower two can also be eaten by a tub.

EDIT: Puffers ...

snowman

The battleship is a large example of an elementary 1xN spaceship:

Code: Select all

x = 21, y = 1, rule = B2ce4-cint67e8/S14567
2o3bob2obob2obob2obo!

Many other examples are possible. Here's a 1xN c/4

Code: Select all

x = 4, y = 1, rule = B2c3/S1e34i
ob2o!

snowman

A new p12 and 4c/14 spaceship in B2i35y/S23:
x = 9, y = 10, rule = B2i35y/S23
2o$2o$4bo$4bo$4bo$4bo$4bo$4bo$7b2o$7b2o!

x = 7, y = 8, rule = B2i35y/S23
b3o$o2bo$o$3o2b2o$6bo$3bo$3bobo$4bo!

Some new puffers based on the same 8c/29 failed replicator as the spaceship mentioned in previous posts ...

snowman

why exactly are many people (it's not just dbell) reluctant to set up an account on Discord, just to be able to follow links such as these and get access to the details of the discussion?

Well, one thing about putting things on the wiki instead of Discord is that as time goes on, it will be ...

snowman

plife is a cool rule, so I looked at 1 transition variants.

2-barreled p252* gun, p46 oscillator, 8c/16 spaceship in B2n35j/S2-i3:
x = 3, y = 3, rule = B2n35j/S2-i3
2bo$3o$bo!

x = 5, y = 5, rule = B2n35j/S2-i3
3o$o2bo$obobo$bo2bo$2b3o!

x = 3, y = 9, rule = B2n35j/S2-i3
3o$o$obo$b2o2$b2o$obo ...

snowman

Could the proof of p3-p25 phoenix nonexistence be crossposted or summarized on the forums or wiki? It seems kind of important and I do not use discord. I'm curious how they were ruled out.

snowman

It kind of surprises me that triple pseudo still life and quad pseudo still life don't seem to have syntheses in sjk. It looks a little difficult, but I bet a converter-based synthesis is possible.

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