ConwayLife.com • Grounded life variant: B34e5-a/S234qtw

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Grounded life variant: B34e5-a/S234qtw

Posted: February 8th, 2024, 11:10 am

by iddi01

Catagolue census page

This is a rule 5 transitions away from grounded life (B35/S23), and behaves similarly to it.

However, it's much more chaotic, and includes 4 highly notable patterns:
A failed replicator, an RRO, a "tub bomb", and a surprisingly common P10 oscillator.

Code: Select all

x = 57, y = 11, rule = B34e5-a/S234qtw
4$2bo14bo14bo$3b2o13b2o11bobo16b6o$3b2o13b2o12bo$17b3o!

The failed replicator: becomes a puffer (or two puffers) after many generations. Major source of growth.
Usage: There's so many! They are listed in Update #1.

The RRO: very organic rotation, quite a sight.
Usage: Not much, but provides potentially useful sparks.

The "tub bomb": Yes, the tub (without B4, would be an extremely common object) becomes a large familiar four.
Usage: You can make powerful methuselahs with tubs alone! Also a good conduit object.

The P10: Similar to the pentadecathlon in CGoL, surprisingly common.
Usage: Like the pentadecathlon, it can be combined in various ways to create larger and/or higher period oscillators:

Code: Select all

x = 25, y = 11, rule = B34e5-a/S234qtw
$4o2$21b4o5$4o17b4o!

And now for some basic information on this rule:

Most growth coming from the failed replicator and the "tub bomb".

It is more unpredictable than CGoL for being more reliant on certain evolutionary sequences.

Strong methuselahs are possible, with the very long barge being the most powerful at time of writing (scroll down a few posts to see 5132M):

Code: Select all

x = 6, y = 6, rule = B34e5-a/S234qtw
4bo$3bobo$2bobo$bobo$obo$bo!

This is the most common object, excluding stuff produced by the failed replicator, due to being the object of the familiar four generated by the tub:

Code: Select all

x = 3, y = 3, rule = B34e5-a/S234qtw
3o$3o$2o!

Spaceships are very rare, with only this one discovered currently (even with apgsearch):

Code: Select all

x = 4, y = 5, rule = B34e5-a/S234qtw
3o$b2o$3bo$2b2o$2bo!

Misc. objects:
8P8 from B35/S23 becomes P6 instead, and is extensible. Also a related P4 works that does not work in B35/S23.

Code: Select all

x = 13, y = 8, rule = B34e5-a/S234qtw
bo9bo$3o7b3o4$3o$bo8b3o$11bo!

A predecessor for the RRO:

Code: Select all

x = 6, y = 18, rule = B34e5-a/S234qtw
4o5$4o$4o$4o5$5bo$5bo$5bo$5bo$5bo$5bo!

(one of the) Synthesis for the tub:

Code: Select all

x = 19, y = 8, rule = B34e5-a/S234qtw
$14b3o$b3o10b2o$2b2o9bo$4bo8b2o$3b2o9bo$3bo!

Census page at only 170000 soups:

Re: Replicators, Methuselahs, RROs, and more in B34e5-a/S234qtw

Posted: February 9th, 2024, 2:26 pm

by eRroR_6o6

breeder

Code: Select all

x = 169, y = 172, rule = B34e5-a/S234qtw
10$15bo$14b3o$15b2o3$21b2o$21b2o$19b2o$19b2o$25b2o$25b2o$23b2o$23b2o2$
30b2o$30b2o$28b2o$28b2o$32b3o$32bo2bo$32bo2bo$33b3o19$54b3o$54bo2bo$
54bo2bo$55b3o$60b2o$60b2o$58b2o$58b2o2$65b2o$65b2o$63b2o$63b2o4$70b3o$
70bo2bo$70bo2bo$71b3o29$104b2o$104b2o$102b2o$102b2o15$120b2o$109b3o8b
2o3bo$108b2obo13bo$108bo3b2o11bo$108b2o3bo$110bob2o7b3o3b3o$110b3o$
125bo$125bo$125bo6$134bo$133bobo$133bob2o2$133bo$133b2ob2o$135b2obo$
133b2o2bo$128bo5bo$128bo6bo4b2o8bo$128bo11b2o8bo$138b2o10bo$138b2o14$
156b3o$155bob3o$155b4o$154bobob2o$153b7o$152b2o2bo$152bob2o$153b2o!

Update #1

Posted: February 22nd, 2024, 7:53 am

by iddi01

The most useful thing in this rule is definitely the failed replicator.

Even though there doesn't seem to be another replicator or failed replicator, but the existing one can be combined in various different ways to create many different puffers or breeders. For example, here's a period-4320 puffer based on it discovered by apgsearch:

Code: Select all

x = 51, y = 50, rule = B34e5-a/S234qtw
5$37bobo$37bo$37b3o9$26b3o9bo$28bo8b3o$26bobo7bo2b2o$35b2o2bo$36b3o$
37bo$32bo$31b3o$30bo2b2o$29b2o2bo$30b3o$15bobo13bo$15bo$15b3o9$4b3o$6b
o$4bobo6$47b2o$47b2o!

And the post above has a breeder based on it.
And this soup creates something based on it that is so unpredictable that it is classified as explosive:

Code: Select all

x = 16, y = 16, rule = B34e5-a/S234qtw
obbooobobbbbbbob$
ooobbbbbobbobboo$
booobobobbbooboo$
bbobobbobboobboo$
ooboboobobbbbboo$
bbobbobbobobobbb$
bboooobboboobobb$
bbbobbobbooboooo$
bbobobbooboobboo$
obobbbbbbobobobo$
obobobbooobobobo$
bbbbooobbobooobb$
boboooobooboobob$
bobobboobbobbooo$
boobobobobboooob$
bbooooooobbbbobb!

This methuselah creates 4 spaceships in the end, based on a reaction of the failed replicator:

Code: Select all

x = 24, y = 26, rule = B34e5-a/S234qtw
$5bo$4bobo$3bobo$2bobo$bobo$2bo12$20bo$19bobo$18bobo$17bobo$16bobo$17b
o!

And finally, some misc stuff unrelated to the failed replicator.

Predecessor for RRO:

Code: Select all

x = 6, y = 18, rule = B34e5-a/S234qtw
4o5$4o$4o$4o5$5bo$5bo$5bo$5bo$5bo$5bo!

Synthesis for the tub (and thus for 4 of those oscillators):

Code: Select all

x = 19, y = 8, rule = B34e5-a/S234qtw
$14b3o$b3o10b2o$2b2o9bo$4bo8b2o$3b2o9bo$3bo!

Re: Replicators, Methuselahs, RROs, and more in B34e5-a/S234qtw

Posted: February 22nd, 2024, 3:18 pm

by eRroR_6o6

new best methuselah (5132M)

Code: Select all

x = 9, y = 9, rule = B34e5-a/S234qtw
6bo$7b2o$7b2o4$2o$2o$2bo!