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pzq_alex

I've been looking at c/2 spaceships in this rule recently. First of all, there are no period 2 spaceships with a width less than or equal to 18.

Glide symmetric searches seem to be more fruitful. For example here is a thinner mod 2 c/2 glide-symmetric spaceship than any p2 c/2 spaceship, from ...

pzq_alex

Bump
edgeshooting G -> C featuring a transparent block

x = 8, y = 27, rule = SymbiosisEV2
4.2H$5.2H$3.H.H$3.2H13$5.G.G$5.2G$6.G3$2A$2A$4.2A$3.A2.B$.A2.B$.B!

Edit in the dead of night: p72 pi shuttle

x = 24, y = 24, rule = Symbiosis
6.2A3.B$5.B2A3.A5.B$7.4A6.2A$8.3A6.2A$7.A.3A$11.2A$11.3A$.B9 ...

pzq_alex

From what I've gathered from this thread, the known oscillator periods in Brian's Brain are 3, 4, and 6. [...]

Here are oscillators for all periods of form 9n+6:

x = 38, y = 18, rule = /2/3
B8.B4.B8.B4.B8.B$A.A4.A.A4.A.A4.A.A4.A.A4.A.A$.2BA2.A2B6.2BA2.A2B6.2B
A2.A2B$.A.B2.B.A6.A.B2.B.A6.A.B2 ...

pzq_alex

easily the uselessest search result

x = 18, y = 49, rule = B2/S
5b2o4b2o$4bo8bo$7bo2bo2$3b2o8b2o$5bo2b2o2bo$2bo12bo$3bobobo2bobobo$bo
2bo8bo2bo$8b2o$bo2bo3b2o3bo2bo$2b4o2b2o2b4o$5bobo2bobo2$5bo6bo$6bo4bo
2$2b2obo6bob2o2$5bo6bo$5bo6bo$b2o12b2o2$4bo8bo$3bo10bo$2bo4bo2bo4bo$2b
o3bo4bo3bo$2bo12bo ...

pzq_alex

I performed a bit of analysis on W90 oscilllators with constant-dead borders. Define the length of such an oscillator to be the distance between the two border cells. Let n be any positive integer, f(n) be the smallest length for a period-2n oscillator (note that I'm always talking about period ...

pzq_alex

Actually, the proof method above is implicit in this post (about 3 years ago) of mine; said post also contains a custom rule to help implement this strategy, and also an extension to replicator-based spaceships. What is missing in this theory is an investigation of the smallest oscillator/spaceship ...

pzq_alex

rlifesrc finds this fencepost at width 15, odd symmetry.

x = 15, y = 39, rule = /2/3
7.A$6.B.B$3.AB.B.B.BA$.AB2.A.A.A2.BA$2.B9.B$2.2B2.A.A2.2B$.AB.2A3B2A.
BA$5.B.B.B$4.AB3.BA$4.3A.3A$5.B3.B$.B2.2A3.2A2.B$3.AB2.B2.BA$4.BA3.AB
$.B.3A3.3A.B$.A2.B5.B2.A$.AB.AB3.BA.BA$.ABA.2A.2A.ABA$.A3.B3.B3.A$2.B
3 ...

pzq_alex

G -> Π with fairly good clearance:

Code: Select all

x = 10, y = 8, rule = Symbiosis
7.A.A$7.2A$8.A$2.2A$BA2.A.2A$3.2A.A$2.B.A.AB$3.B.A!

pzq_alex

Isn't "coverleaf" a sufficiently established name for this pattern by this point?

No -- a forum search for this word (and its plural form ) shows that only my original post containing the emulated rule and your posts on this thread used that misspelling. The LifeWiki rule page uses "cloverleaf ...

pzq_alex

Period1GliderGun wrote: March 6th, 2024, 12:46 pm p8 sparker:
Code: Select all
x = 5, y = 7, rule = symbiosis
B.A.B$.A.A$.3A3$.2A$.2A!

p10 variant

Code: Select all

x = 6, y = 9, rule = symbiosis
3.B$.BA$BA2.AB$2.A.A$2.A.A$3.A2$2.2A$2.2A!

another p10

Code: Select all

x = 4, y = 9, rule = symbiosis
B$A.AB$2.A$.A.A$.A.A$2.A2$.2A$.2A!

pzq_alex

Can somebody remind me what we have in the way of conduits with a U-turner output?

To begin with, there's a periodic H -> U in this gun by C28:

x = 65, y = 62, rule = B3/S23
18bo$18b3o$21bo5b2o$20b2o4bob3o16bo$26bo4bo5b2o6b3o$23b2obob3o6b2o5bo
$23bo2bobo15b2o$24b2o5$59bo$13bob2o42bo3b2o ...

pzq_alex

<credit=GUYTU6J>
A p280 loong (the (6,5)c/25, because it's long and skinny) gun, showing off a rt65 reflector and a G -> loong:

x = 75, y = 38, rule = B3-jknr4ity5ijk7c8/S23-a4city6c
67b2o$24bo2b2o38bo$23bob2o2bo38bo$24bo2b2o38b2o2$13bo12bo$12bobo10b3o
44bo$13bo11b3o43bob2o$72bobo$2bo68b2o ...

pzq_alex

qqd wrote: January 19th, 2024, 8:12 am For those who can't recognize the p2 and p5 parts:
Code: Select all
rle

(alternatively, use Pattern -> Identify, then click Map on the right)

pzq_alex

b-engine wrote: December 21st, 2023, 3:49 am B+boat+beehive:
Code: Select all
x = 32, y = 17, rule = B3/S23
7bo$7bo3bo18b2o$2b2o3bo3bobo16bo$2ob2o2bo3b2o15bobo$4o3bo20b2o$b2o4bo
$7bo$7bo6$13b2o$14bo$11b3o$11bo!

You must eat the active region or convert it cleanly into some signal (current definition is some signal in the ECC I think).

pzq_alex

This may be a long-lived methuselah, but it didn't stabilize even after 100000 generations.
x = 7, y = 10, rule = Symbiosis
.6A$A5.A$6.A$A4.A3$B4.B$6.B$B5.B$.6B!

Congratulations, you just found orthogonal trench warfare.

Trenches can also be orthogonal.

x = 5, y = 10, rule ...

pzq_alex

b-engine wrote: December 3rd, 2023, 2:30 am
pzq_alex wrote: December 3rd, 2023, 2:14 am Nope either:
Code: Select all
x = 4, y = 5, rule = Symbiosis
2A$2A2$.A.B$.B.A!
It's reduction of jam.

I don't get what you're trying to say -- by any standard your p3 isn't the smallest. Here another smaller p3:

Code: Select all

x = 4, y = 6, rule = Symbiosis
.B$A$2.AB2$2A$.B!

pzq_alex

b-engine wrote: December 3rd, 2023, 2:30 am
pzq_alex wrote: December 3rd, 2023, 2:14 am Nope either:
Code: Select all
x = 4, y = 5, rule = Symbiosis
2A$2A2$.A.B$.B.A!
It's reduction of jam.

It isn't because the rotors are different.

pzq_alex

b-engine wrote: December 3rd, 2023, 12:31 am I mean smallest p3 that's not torch-based.

Nope either:

Code: Select all

x = 4, y = 5, rule = Symbiosis
2A$2A2$.A.B$.B.A!

pzq_alex

b-engine wrote: November 21st, 2023, 5:27 am G-to-unnamed converter:
Code: Select all
x = 14, y = 14, rule = Symbiosis
12.A$11.A$11.3A7$2.A$.A.A$.A.A$B.A.B$2B.2B!

quite silly reflector

Code: Select all

x = 16, y = 18, rule = Symbiosis
4.B$.B.4AB$B2A2.A$2.2A2$14.A$13.A$13.3A5$BA2$4.A$3.A.A$3.A.A$2.B.A.B!

pzq_alex

Placeholder for the details of how the CA check works and in particular the table-makery and PEXT nonsense that speeds it up.

I assume these are least interesting of anything I'm going to write, but I'll come back and fill them in if someone wants to know.

I'd love to hear the pext bit ...

pzq_alex

Features some photon (moving) conduits

x = 17, y = 91, rule = 345/2/4
2A13.2A$2B13.2B$2C2.2A5.2A2.2C$3.A2B2A.2A2BA$3.B2C.3A.2CB$3.C2.2A.2A2.
C$.2A2.A.ACA.A2.2A$.3A2.2A.2A2.3A$ABA2.A.A.A.A2.ABA$.3AC.2A.2A.C3A$C6.
A.A6.C$B2CB4A.4AB2CB$4.A2.A.A2.A$.C2.B.2A.2A.B2.C$BC.BC2.A.A2.CB.CB$A
BCB2.2A.2A2.BCBA ...

pzq_alex

Randomized lightspeed RLS searches are returning interesting results: many ships are made from a wickstretcher-wickeater pair, and many (very!) sparky ships. Here are some raw ships:

x = 209, y = 97, rule = 345/2/4
88.2A13.2A19.2A5.2A$88.2B2.2A5.2A2.2B18.4A3.4A$2A13.2A33.2A9.2A25.2CA
.2A5.2A ...

pzq_alex

Left-turn Pi-to-B and glider reflector:

x = 37, y = 16, rule = Symbiosis
19.B15.B$19.A15.A$18.2A14.2A$19.AB14.AB$17.A.A13.A.A$17.2A14.2A$12.3A
3.AB14.AB$2A10.A.A3.B15.B$2A10.A.A13.2A$27.A.A$29.A4$3.2A$3.B!

It can, through the same recovery mechanism as the reflector, convert many things to ...

pzq_alex

For continuing here's a random 8x8 region for you to catalyze:

Code: Select all

x = 8, y = 8, rule = Life
2o3bobo$2obo3bo$o4bobo$obo2bo$b2o$2b2o2bo$4b3o$3o2b3o!

pzq_alex

Eaten: x = 25, y = 31, rule = B3/S23
15bob2o$13b3obo$12bo6bo$13b7o$16bo$5bo7b2o3b2o$5b3o5bob4obo$8bo12bo$7b
2o5b2ob4obo$14b2obo2bo2bo$20bo3bo$21b4o2$9b3obo7b2o$3b2o2b2obo10b2o$3b
2o6bo$8b2o2bo$7bo5bo$7bob4o3$2b2o$bobo$bo$2o10b2obo2bo$13bob4o$11bobo
$11b2o2b2o$16bo$15bo$15b2o!

A normal eater 2 ...

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Search found 801 matches

Re: B3/S234

Re: Symbiosis

Re: Brian's Brain

Re: RLE copy/paste thread - everyone else

Re: Replicator-based technology

Re: Omniperiodicity based on XOR replicators

Re: Brian's Brain

Re: Symbiosis

Re: Golly 4.3b1

Re: Symbiosis

Re: Thread For Your Accidental Discoveries

Re: Loong (B3-jknr4ity5ijk7c8/S23-a4city6c)

Re: Oscillator Discussion Thread

Re: Catalyses (Game)

Re: Symbiosis

Re: Symbiosis

Re: Symbiosis

Re: Symbiosis

Re: Symbiosis

Re: amling search program principles discussion / brain dump

Re: Star Wars Rule

Re: Star Wars Rule

Re: Symbiosis

Re: Catalyses (Game)

Re: Catalyses (Game)