ConwayLife.com

Posted: **December 22nd, 2024, 5:10 am**

This is a topic about B3acij4ce/s234-aw

Spaceships

c/4d

x = 4, y = 4, rule = B3acij4ce/S234-aw
bo$ob2o$2b2o$2b2o!

c/2o

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x = 10, y = 7, rule = B3acij4ce/S234-aw
2b2o$2b2ob3o$2b2obob2o$8b2o$bo2bo3bo$o3b4o$bo2b2o!

Code: Select all

x = 14, y = 17, rule = B3acij4ce/S234-aw
2$6b2o$6b2o$3bo$2bobo2bo$4bob3o$5bo$2b2o$3b2ob3o$2b2obobo$3bo3bo$3bob
2o$4b3o!

Oscillators

P2

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x = 3, y = 1, rule = B3acij4ce/S234-aw
3o!

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x = 6, y = 5, rule = B3acij4ce/S234-aw
ob2obo$6o2$2b2o$2b2o!

P3

Code: Select all

x = 6, y = 10, rule = B3acij4ce/S234-aw
4b2o$4b2o2$3b3o$3bobo$obo$3o2$2o$2o!

Code: Select all

x = 10, y = 3, rule = B3acij4ce/S234-aw
2ob4ob2o$2obo2bob2o$4b2o!

edit:

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x = 11, y = 11, rule = B3acij4ce/S234-aw
4b2o$4b2o2$4b3o$3bo3bob2o$2obo3bob2o$2obo3bo$4b3o2$4b2o$4b2o!

P5

Code: Select all

x = 10, y = 10, rule = B3acij4ce/S234-aw
3b2o$3b2o2$2b4o$2bo3bo$6bob2o$3o3bob2o$o2bob2o$3bo$2b2o!

P6

Code: Select all

x = 10, y = 7, rule = B3acij4ce/S234-aw
5b2o$6bo$3b2ob2o$2obo$bob2o3b2o$2obo4b2o$3b2o!

edit2: P8

Code: Select all

x = 10, y = 3, rule = B3acij4ce5y/S234-aw
2ob3o2b2o$2ob3o2b2o$3b3o!

P24

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x = 15, y = 12, rule = B3acij4ce/S234-aw
7b2o$6bo2bo$7b2o3$b2o9b2o$o2bo3b3obo2bo$b2o3bob2o2b2o$8b2o$3b2o$3b2ob
2o$6b2o!

P32 RRO

Code: Select all

x = 9, y = 11, rule = B3acij4ce/S234-aw
3bo$2b3o$bo2bo$2o$b2o$2b3o$5bo$5bo$8bo$4bo3bo$6bo!

Let me know if you found other oscillator/spaceships or a Glider synthesis

Lwss and others works:

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x = 7, y = 18, rule = B3acij4ce/S234-aw
4b2o$2b2ob2o$2b4o$3b2o4$3b2o$3ob2o$5o$b3o4$4b2o$4ob2o$6o$b4o!

Posted: **December 22nd, 2024, 5:16 am**

Jeecorner28 wrote: December 22nd, 2024, 5:10 am This is a topic about B3acij4ce/s234-aw [...]

Please read the forum rules: viewtopic.php?f=2&t=2092

In particular, please use the "pattern" tags instead of "LV". "LV" tags are discouraged, because they can cause browser lag in many situations, and also because you are essentially forcing every reader to scroll through large viewers, even if the reader already saw the patterns / if the reader would like to quickly skip to the next post.

Also, do not create new threads for non-notable CA. There is no evidence of B3acij4ce/s234-aw being noteworthy enough to make a separate thread just for this particular cellular automaton. There are way too many CA to have threads for all of them. Most such threads are unnecessary.

Instead of starting a new thread, post in an existing thread like viewtopic.php?f=11&t=1971 (Miscellaneous Discoveries in Other Cellular Automata) or viewtopic.php?f=11&t=803 (Thread For Your Unrecognised CA).

Posted: **December 22nd, 2024, 5:17 am**

Please use "pattern" tags (respective button can been found at right of "catagolue" button) instead of LV (LifeViewer) tags to encase the RLEs.
Plus, if you're not sure if a newly discovered rule is notable enough to be others' interest, pleaae post it in Thread For Your Unrecognized CA.

Posted: **December 22nd, 2024, 5:56 am**

b-engine wrote: December 22nd, 2024, 5:17 am Please use "pattern" tags (respective button can been found at right of "catagolue" button) instead of LV (LifeViewer) tags to encase the RLEs.
Plus, if you're not sure if a newly discovered rule is notable enough to be others' interest, pleaae post it in Thread For Your Unrecognized CA.

edited

Posted: **December 22nd, 2024, 6:17 am**

Code: Select all

x = 16, y = 12, rule = B3acij4ce/S234-aw
10b2o$10b2o2$11b2o$5b2o4b2o$6b2o$2o6bo$2o4b2o2$b2o$b2o!

p36 oscillator, known?

Edit: reflector

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x = 22, y = 19, rule = B3acij4ce/S234-aw
b2o$3bo$b2o$2o7$11b2o$13bo$11b2o$10b2o$20b2o$17b2ob2o$13b2o2b2o$12bo2b
o$13b2o!

Known periods: 2, 3, 5, 6, 24, 32, 36, and all integers above and including 40

Edit 2: p26 Oscilator

Code: Select all

x = 14, y = 12, rule = B3acij4ce/S234-aw
5b2o$4bobo$4b2o$7b2o$2o4b2o$2o5b2o$12b2o$12b2o2$8b2o$7bobo$7b2o!

Known periods, 2, 3, 5, 6, 24, 26, 32, 36, 40+

Posted: **December 22nd, 2024, 8:39 am**

A reflector? Looks like a sign that this rule is omniperiodic

What about a reflector for the orthogonal ship?

Posted: **December 22nd, 2024, 8:46 am**

I think i wanted to try that, but decided to go for a reflector for the c/4 diagonal spaceship instead.
In other news, potential B-to-G

Code: Select all

x = 27, y = 25, rule = B3acij4ce/S234-aw
9$7b2o$7b2o2$16b2o$16b2o2$8b2o$8b2o2$12b3o$12bo2bo$12bob2o!

Also, how would I go about searching for missing oscillators like p4 or p7?

Posted: **December 22nd, 2024, 8:49 am**

Harfordson Parker-Cole found various puffers using apgsearch, including the following.

(14,13)c/114:

Code: Select all

x = 14, y = 13, rule = B3acij4ce/S234-aw
3b2o$3bo7b2o$2ob2o4b2o2bo$2obo6b3o$3b2o6bo2$3b2o$3b2o2$10bo$9bobo$9bob
o$10bo!

16c/127 orthogonal:

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x = 15, y = 10, rule = B3acij4ce/S234-aw
5bo$bo2b3o$3o4bo$bo3b2o4b2o$bo2bo7bo$2b3o5b2o$3bo9bo$12bobo$12bobo$13b
o!

Various c/2o puffers, mostly at period 24 but including an unusually dirty p36:

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x = 13, y = 14, rule = B3acij4ce/S234-aw
7bo$3bo2b2ob2o$7bobob2o$11b2o$5b2obo3bo$4bo3b4o$5b2o2bo2$4b4o$2bobo3bo
$2bo2bo2b2o$3obo2b2o$8o$2o2bo!

This p12 XWSS-like block puffer, the most common:

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x = 9, y = 5, rule = B3acij4ce/S234-aw
5b4o$2o2bo3bo$2obo4bo$4bo2bo$5bo!

Patterns tend to evolve into dense clusters of still lifes, since these are hard to destroy due to limited birth transitions. Another consequence is that this can produce very large asymmetric still lifes, such as this soup that contains an xs172:

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x = 16, y = 16, rule = B3acij4ce/S234-aw
6o2b8o$2o3bob4o2bo$5o2b2o3b2obo$bob3o4b2ob2o$2obo2b4ob3o$b3obo2bo2bobo
$4bo2b2ob2ob3o$o4b2o3bo4bo$b2o2bo4bo2bo$ob2ob2ob2o4b2o$2o3bo2b5ob2o$2b
3obobob2o3bo$ob3o7b2obo$bo3b3obob2o$2obob2o3bo3bo$obobo2bobo2bo!

Also present is a p40, here simplified from the original finding:

Code: Select all

x = 8, y = 8, rule = B3acij4ce/S234-aw
2o4b2o$2o4b2o$3bo$2b2o$2bo2$2o4b2o$2o4b2o!

And a 10-cell c/4d; the two haves can be attched in four different ways, and one half can be attached as a sidecar to the ant in six different ways:

Code: Select all

x = 56, y = 17, rule = B3acij4ce/S234-aw
2o8b2o8b2o8b2o$3o7b3o7b3o7b3o$4bo9b2o8b2o8bo$4b2o7b2o8bo9bo$4b2o8b2o7b
3o7b2o$34bo5$o9bo9bo9bo9bo9bo$2obo6b2obo6b2obo6b2obo6b2obo6b2obo$bobo
7bobo7bobo7bobo7bobo7bobo$2bo2bo6bo2b2o5bo2b2o5bo2bo6bo9bo$5b2o7b2o8bo
9bo9bo9b2o$5b2o8b2o7b3o7b2o8b2o7b2o$35bo8b2o8b2o!

All results can be found at https://catagolue.hatsya.com/census/b3acij4ces234-aw/C1.

Speeds other than those already known seem to be scarce; c/6o is the most likely candidate but even that is weak. Odd period multiples of c/2o also seem to be absent.

Code: Select all

x = 14, y = 11, rule = B3acij4ce/S234-aw
6b2o$5bo2bo$4bo4bo3$5bo2bo3$b12o$ob3o4b3obo$o12bo!

Posted: **December 22nd, 2024, 8:55 am**

Nice!
Known periods: 2, 3, 4, 5, 6, 7, 8, 10, 12, 20, 24, 26, 32, 36, 40+

That's great but I'd obviously still love to be able to find new oscillators myself. Any search programs which can be used in Golly to find new periods?
[P.S. sorry if I sound dumb]

Posted: **December 22nd, 2024, 9:07 am**

poolperson87 wrote: December 22nd, 2024, 8:55 am Nice!
Known periods: 2, 3, 4, 5, 6, 7, 8, 10, 12, 20, 24, 26, 32, 36, 40+

That's great but I'd obviously still love to be able to find new oscillators myself. Any search programs which can be used in Golly to find new periods?
[P.S. sorry if I sound dumb]

No, but you can install apgsearch from its git repository, run it, and look for new periods in results on the Catagolue page.

Posted: **December 22nd, 2024, 9:19 am**

Some possibilities besides getting apgsearch are mentioned in viewtopic.php?f=9&t=45&start=275#p150204

poolperson87 wrote: December 22nd, 2024, 8:55 am [...] Any search programs which can be used in Golly to find new periods? [...]

Posted: **December 22nd, 2024, 9:35 am**

Already some new oscillators!
p17

Code: Select all

x = 12, y = 14, rule = B3acij4ce/S234-aw
3$3bobo$5bo$bo2b2o$3bo$b3o$8b3o$8bo$6b2o2bo$6bo$6bobo!

p19

Code: Select all

x = 15, y = 23, rule = B3acij4ce/S234-aw
7bo$6bobo$6bobo$4bo2bo$4b2o$6b2o$3b2ob2o$3b2o$7bo$5bobo2b2o$5bo5bob2o$
3b2obo2bobob2o$2obo2b5o$2obo$3bob2o2bo$2b2o2bobobo$4bobobobo$4bobo2bo$
3b2obo$6b2o!

p22

Code: Select all

x = 56, y = 41, rule = B3acij4ce/S234-aw
15$13b2o3b2o$13b2o2bo2bo$18b2o$12b4o$12bo2bob2o$14b2obo$13bobobo$14bo
2b2o$12b2o2bo3b2o$12b2o3bo2bo$5b2o3b2obo3b4o$2b2obo2bob3o$2b2obobobo8b
2o$5b4o9b2o$10bo$3bo2b4ob2o4b2o$2bobobo2bo2bob2ob2o$2bobo7bob2o$3bo6b
3o$10bo!

Known periods: 2-8, 10, 11 (in Catagolue census), 12, 13 (in Catagolue census) 17, 19-20, 21 (in Catagolue census), 22, 24, 26, 28 (in Catagolue census), 32, 36, 40+

Edit 15:30 GMT: 3 remaining periods, p23, p31, and p37. And that's assuming the p38 and p39 are real! But I'm not going to pause my nbsearch2a just to get what is new, so...

Posted: **December 22nd, 2024, 11:45 am**

Glider synthesis for the still life on the left:

Code: Select all

x = 48, y = 34, rule = B3acij4ce/S234-aw
6$24b2o15bo$6b2o16b2o14b2o$6bobo13bob2o13b2o$4bo2b2o14bo16b2o$4b2obo$
6b2o$6bo$8b2o$8b2o13$30bo$29b3o$28b2obo!

edit: P84, another P84, P168 (using poolperson's reflector):

Code: Select all

x = 104, y = 33, rule = B3acij4ce/S234-aw
15b2o$14bo2bo34b2o$11b2o2b2o34bo2bo$8b2ob2o35b2o2b2o35b2o$8b2o35b2ob2o
38bo2bo$18b2o25b2o38b2o2b2o$17b2o36b2o25b2ob2o$16bo37b2o26b2o$17b2o34b
o$5bo19b2o27b2o$5b2obo16b2o35b2o$bo4bobo53b2o$obo4bo18b2o10bo60b2o$ob
o23b2o9bobo23b2o34b2o$bo35bobo23b2o10bo$28bo9bo35bobo23b2o$2b2o23bobo
35bo8bobo23b2o$2b2o18bo4bobo9b2o23bobo8bo$21bobo4bo10b2o23bobo35bo$3b
2o16bob2o40bo10b2o23bobo$3b2o19bo15b2o34b2o23bobo$11b2o27b2o60bo$13bo
34b2o27b2o$11b2o37bo26b2o$10b2o36b2o35b2o$20b2o25b2o38bo$17b2ob2o35b2o
26b2o$13b2o2b2o35b2ob2o25b2o$12bo2bo34b2o2b2o38b2o$13b2o34bo2bo38b2ob
2o$50b2o35b2o2b2o$86bo2bo$87b2o!

Posted: **December 22nd, 2024, 12:05 pm**

Jeecorner28 wrote: December 22nd, 2024, 11:45 am Glider synthesis for the still life on the left:
Code: Select all
x = 48, y = 34, rule = B3acij4ce/S234-aw
6$24b2o15bo$6b2o16b2o14b2o$6bobo13bob2o13b2o$4bo2b2o14bo16b2o$4b2obo$
6b2o$6bo$8b2o$8b2o13$30bo$29b3o$28b2obo!

As it stands, it doesn't yet count as a synthesis. One reason is missing cleanup of the leftover junk that isn't part of the target. Looks like cleanup might be difficult.

Further, it is usually desirable to use only one kind of spaceship in a synthesis (and construct any other needed spaceships by collisions).

Posted: **December 22nd, 2024, 12:10 pm**

confocaloid wrote: December 22nd, 2024, 12:05 pm
Jeecorner28 wrote: December 22nd, 2024, 11:45 am Glider synthesis for the still life on the left:
Code: Select all
x = 48, y = 34, rule = B3acij4ce/S234-aw
6$24b2o15bo$6b2o16b2o14b2o$6bobo13bob2o13b2o$4bo2b2o14bo16b2o$4b2obo$
6b2o$6bo$8b2o$8b2o13$30bo$29b3o$28b2obo!
As it stands, it doesn't yet count as a synthesis. One reason is missing cleanup of the leftover junk that isn't part of the target. Looks like cleanup might be difficult.

Further, it is usually desirable to use only one kind of spaceship in a synthesis (and construct any other needed spaceships by collisions).

well, then help me discover how to delete a beehive (with gliders) and synthesis other gliders

Posted: **December 22nd, 2024, 12:14 pm**

Jeecorner28 wrote: December 22nd, 2024, 12:10 pm
confocaloid wrote: December 22nd, 2024, 12:05 pm
Jeecorner28 wrote: December 22nd, 2024, 11:45 am Glider synthesis for the still life on the left: [...]
As it stands, it doesn't yet count as a synthesis. [...]
well, then help me discover how to delete a beehive (with gliders) and synthesis other gliders

I unsuccessfully tried to find either of those in Golly before posting, and a relevant clarification post to correct errors/misconceptions (e.g. what counts or doesn't count as a valid glider synthesis) can be useful regardless of whether it provides any other relevant information in addition to that.

Posted: **December 22nd, 2024, 12:37 pm**

Component found by accident when attempting to fix the synthesis above

Code: Select all

x = 41, y = 46, rule = B3acij4ce/S234-aw
2b2o15bo$2b2o14b2o$ob2o13b2o$bo16b2o18$8bo$7b3o$6b2obo19$38b3o$38b3o$
37bo$38bo!

EDIT: well, that's unhelpful

Code: Select all

x = 32, y = 46, rule = B3acij4ce/S234-aw
2b2o15bo$2b2o14b2o$ob2o13b2o$bo16b2o18$8bo$7b3o$6b2obo19$29b3o$29b3o$
28bo$29bo!

Posted: **December 22nd, 2024, 2:23 pm**

These are my results. I don't have much time.

Posted: **December 22nd, 2024, 11:18 pm**

WhiteHawk wrote: December 22nd, 2024, 12:37 pm
EDIT: well, that's unhelpful
Code: Select all
x = 32, y = 46, rule = B3acij4ce/S234-aw
2b2o15bo$2b2o14b2o$ob2o13b2o$bo16b2o18$8bo$7b3o$6b2obo19$29b3o$29b3o$
28bo$29bo!

try pushing the beehive up

Posted: **December 22nd, 2024, 11:42 pm**

Jeecorner28 wrote: December 22nd, 2024, 11:18 pm
WhiteHawk wrote: December 22nd, 2024, 12:37 pm EDIT: well, that's unhelpful
Code: Select all
try pushing the beehive up

The ant ends up missing the beehive then.

Posted: **December 23rd, 2024, 4:30 am**

WhiteHawk wrote: December 22nd, 2024, 11:42 pm
Jeecorner28 wrote: December 22nd, 2024, 11:18 pm
WhiteHawk wrote: December 22nd, 2024, 12:37 pm EDIT: well, that's unhelpful
Code: Select all
try pushing the beehive up
how about adding another glider?

The ant ends up missing the beehive then.

Posted: **December 23rd, 2024, 4:31 am**

how about adding another glider?

Posted: **December 23rd, 2024, 4:35 am**

Jeecorner28 wrote: December 22nd, 2024, 11:18 pmtry pushing the beehive up

Jeecorner28 wrote: December 23rd, 2024, 4:31 amhow about adding another glider?

I guess "Try it yourself and see if it works, and share the results if you find something you believe to be of interest to others"?

confocaloid wrote: December 22nd, 2024, 5:16 am Please read the forum rules: viewtopic.php?f=2&t=2092

forum rules wrote: [...]
This is an academic forum, not a chat or microblogging platform. Please spend some time doing some research to familiarize yourself with what is and isn't already known about the Game of Life before posting your discoveries. [...]

Posted: **December 23rd, 2024, 7:25 am**

anyway, new synthesis (I still seem can't figure out how to synthesis the orthogonal ship)

Code: Select all

x = 19, y = 27, rule = B3acij4ce/S234-aw
5bob2o$5b3o$6bo20$17b2o$bo14b2o$ob2o11bo$2b2o12b2o$2b2o!

edit: new P2

Code: Select all

x = 8, y = 5, rule = B3acij4ce/S234-aw
2o4b2o$2o4b2o$2b4o$2ob2ob2o$2o4b2o!

edit2: p9

Code: Select all

x = 13, y = 13, rule = B3acij4ce/S234-aw
5b2o$4bo2bo$5b2obo2bo$6bobobobo$3b2obobobobo$3bo3bobobo$2obobo3bo$2o2b
4obob2o$7b3ob2o$5b2ob2o$6bo$6bobo$7b2o!

edit3: P3 and symmetric P8

Code: Select all

x = 8, y = 11, rule = B3acij4ce/S234-aw
5b2o$b2o2b2o$bobo$3b2o$2o3bobo$2obob3o2$2b2o2b2o$bo2bob2o$bo2bo$2b2o!

Code: Select all

x = 11, y = 11, rule = B3acij4ce/S234-aw
3b2ob2o$4bobo$3b2ob2o$obo5bobo$3o2bo2b3o$3bo3bo$3o2bo2b3o$obo5bobo$3b
2ob2o$4bobo$3b2ob2o!

edit4: P13

Code: Select all

x = 13, y = 11, rule = B3acij4ce/S234-aw
bo2bo$b4o2$2b4o4b2o$2bo2bo4b2o$obo3bo$2o2b2o2b5o$4bo3bobobo$b2ob2o3bo
$2bo$b2o!

Posted: **December 23rd, 2024, 12:58 pm**

This took a rather long time for me to find, but here's a B-to-B+G:

Code: Select all

x = 12, y = 17, rule = B3acij4ce/S234-aw
7b2o$3b2o2b2o$3b2o5b2o$10b2o$2o$2o2$7bo$6b3o$5bo2b2o$5bo3bo$4b2o2b2o$
4b3o$8b3o$8b3o$4bobo$5bo!

Yes that means a gun exists

Code: Select all

x = 14, y = 23, rule = B3acij4ce/S234-aw
9b2o$5b2o2b2o$5b2o5b2o$12b2o$2b2o$2b2o2$9bo$8b3o$7bo2b2o$7bo3bo$6b2o2b
2o$6b3o$2o8b3o$2o8b3o$6bobo$7bo$12b2o$12b2o$2b2o$2b2o5b2o$5b2o2b2o$5b
2o!

Edit: Direct B-to-G

Code: Select all

x = 12, y = 17, rule = B3acij4ce/S234-aw
7b2o$3b2o2b2o$3b2o5b2o$10b2o2$2o$2o$7bo$b2o3b3o$b2o2bo2b2o$5bo3bo$4b2o
2b2o$4b3o$8b3o$8b3o$4bobo$5bo!

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