ConwayLife.com

Posted: **June 30th, 2025, 8:06 am**

PK22,

Thanks for the suggestions and link. I added the [catagolue] tag to my original post. I also thought I had another notable find last night with xs26_06996z0bq1d96z321. There seems to be only 5 other C1 discoveries and a C2_4.

Code: Select all

x = 7, y = 12, rule = B3/S23
5b2o$4bobo$4bo$b2ob2o$obo$o3b2o$b3obo2$3b2o$2bo2bo$2bo2bo$3b2o!

Code: Select all

x = 16, y = 16, rule = B3/S23
boobbbbboooobbbo$
obobobbbbbbobbbo$
oboobooobbbboooo$
ooobbbbobboobooo$
obbooobooboooobb$
oobboooobbbobboo$
obobobboobobooob$
bbbooooboboooobo$
obbbbbboobbbbbob$
oooooobbbbbbboob$
oobooobboboobbbo$
obooobbobooobobo$
obbobboobboobboo$
bboobbbbbooobooo$
bbobbobbboobobob$
bboobobbobobbbbo!

Posted: **July 1st, 2025, 8:38 am**

just some random p96 oscillator:

Code: Select all

x = 32, y = 45, rule = LifeHistory
2.2B6.2A5.2A6.2B$2.BAB5.A7.A5.BAB$5B6.3A.3A6.5B$BAB3A7.A.A7.3ABAB$.2B
2A.A6.BAB6.A.2A2B$3.A.2A2B2.2B3A2B2.2B2A.A$4.3ABAB.BA3BAB.BAB3A$5.5BA
BA3BABA5B$5.BAB2.BA5BAB2.BAB$6.2B.A4BA4BA.2B$8.A4BABA4BA$9.5BA5B$7.A
2B.A5BA.2BA$6.A.2A.BA3BAB.2A.A$6.A4.BA3BAB4.A$5.2A4.2B3A2B4.2A$11.7B$
12.5B$11.2A3B2A5.2A$11.3BA3B4.B2AB$11.A5BA5.2B$13.3B6.2B$13.ABA4.5B$
13.BA.B2.7B$15.11B$12.2A13B$12.2A14B$14.15B$15.14B$17.12B$18.10B$19.
9B$19.9B$19.9B$19.2B2A3B.B2A$17.3BA2BA2B.BA.A$16.2A3BABAB5.A$15.A.AB.
2BA4B3.2A$15.A.2B6.2A$13.A.2AB7.A$12.A.A2.B8.3A$12.A2.2A11.A$13.A.A$
12.2A2.A$15.2A!

Posted: **July 1st, 2025, 11:15 am**

Waveguides can be combined to create interacting waveguides:

Code: Select all

x = 109, y = 48, rule = B3/S23
b2o$o2bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo$4bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$o2bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
$b3o$2b2o$2b2o$3bo$3bo$3bo$3bo$3bo$3bo$3bo$2b2o$2b2o$b3o$o2bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o$4bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobo$o2bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$b2o3$bo$b6o$bo
3b3o$bo4bobo3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o$o6b2o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo$o2bo3b2o3b
o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo$8bo$8bo$8b
o$5bo2bo$7b2o$6b3o$6b3o$6b3o$7b2o$5bo2bo$8bo$8bo$8bo$o2bo3b2o3bo4bo4b
o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo$o6b2o2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo$bo4bobo3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$bo3b3o$b6o$bo!

Posted: **July 4th, 2025, 11:11 pm**

I don't know if this goes in accidental discoveries, since I discovered it by accident, or unsure discoveries, but I think it goes here, because I'm not sure about whether it's new or not.

P7 dependent beacon hassler/beacon-supported P7:

Code: Select all

x = 16, y = 16, rule = B3/S23
13b2o$12bobo$12bo$5b2o3b3o$6bo2bo3b2o$3bo5bob2o2bo$3b2o8b2o$9b4o$12bo$
4b2obo2b2o$3bo3bobo$3bobobobo$b3obob2o$o3bobo$2o2bobo$5bo!

(minpop 54, volatility 0.53)

I personally think that this is related to 44P7.2 in some way, because they share multiple things in common, but I could be wrong.

Posted: **July 13th, 2025, 8:41 am**

the 3-glider mwss recipe actually allows a toggle switch operation by negating one of the 3 gliders:

Code: Select all

x = 185, y = 134, rule = LifeHistory
14$100.2A$98.2B2AB$20.2A72.2A2.4B11.2B$18.2B2AB40.A2.2A25.3B2.6B5.2B
2.3B3.A$14.2B2.4B11.2B28.4A.A24.A3BA.5B5.8B.A.A$13.3A2.6B5.2B2.3B3.A
28.A23.A4BA7B2.11B.A$13.3BAB.5B5.8B.A.A20.7A.2A20.A.ABAB2.3A3B2.7BA3B
$12.A3BA3BA2B2A2.11B.A20.A2.B3.A.A2.A16.BABA.A4.2BA3B2.7BA3B$11.A.A2B
A2.B5A2.11B22.2A2.BA.2B2.2A15.A4BA5.2B.B2.9BA2B5.A2BA4B$9.A2BA.A4.2B
3AB2.7B2A2B25.2B2A2B19.A3BA5.BA2B2.15B2.A4BA4B$8.BA3BA5.2B.B2.9B2AB5.
2BA5B14.2BABA21.3B5.A.A4.4BAB2A3B3AB.A5BA3B$8.BA3B5.BA2B2.15B2.B2ABA
5B14.BAB22.2A7.A7.BA2BA6BA.4B2AB2A3B$10.3A5.A.A4.4BA10B.BA3BA4B6.2A5.
2BABA37.2BA5BA2B2.2BA7BA3B$10.2B7.A7.BABA8B.A5BA5B4.A2.A3.2BA3B37.8BA
2B3.BA.AB3AB.AB$26.2BABA6B2.BA5BA2BA3B.2B.A.A3.3B3A2B32.2B.8BA2B5.2AB
AB3A$26.2BABA6B3.AB.5BA.AB2.B2A.A3.9B31.BAB2.8B$23.2B.2B3A6B5.4A2B2A
4.B3A5.7B32.ABA7B.2B7.2ABAB3A$22.3B2.8B20.2AB3.10B30.A3BAB2.4B7.BA.AB
3AB.AB$22.B2A7B.2B7.4A2B2A8.3BA10B28.A.2BAB4.4B5.2BA7BA3B$21.AB2A2B2.
4B7.AB.5BA.AB6.2BABA10B25.BA2B.A7.4B5.4B2AB2A3B$20.A.4B4.4B5.BA5BA2BA
3B6.BABA10BA23.BA3BA9.4B5.A5BA3B$18.4B.A7.4B5.A5BA5B9.A7B2.3BA22.2BAB
A11.3BD4.A4BA4B$17.2B2ABA9.4B5.BA3BA4B9.7B5.3AB23.BAB12.3BD4.A2BA4B$
17.2B2AB11.4B4.B2ABA5B9.9B4.4B22.2B14.3DB$19.3B12.4B4.2BA5B9.4B4.2A5.
4B38.4B$19.2B14.4B19.4B5.A7.4B38.3BA7.2A$36.4B10.A6.4B7.3A5.4B38.ABAB
7.A$37.4B7.3A5.4B10.A6.4B38.2A2B6.A.AB$38.4B5.A7.4B19.4B38.4B6.A.AB.B
$39.4B4.2A5.4B21.4B38.4B6.A3B2A$40.3BA5B4.4B23.4B38.4B4.3B.B2A$40.4BA
2B5.4B25.4B38.4B3.2B3.B$41.B3A4B2.4B27.4B38.4B.4B$39.15B29.4B38.4B.4B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B$38.15B31.4B38.4B.
54B$38.14B33.4B38.18B5A27B5A3B$35.2AB3.10B35.4B37.17BA4BA26BA4BA3B$
34.B3A5.4BA2B37.4B38.20BA31BA3B$34.B2A.A3.4BABA2B37.4B36.16BA3BA27BA
3BA4B$34.2B.A.A3.3BABA2B38.4B34.4B3.B.5B.B.B.A.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.A.B.B.B$36.A2.A3.4BAB41.4B32.4B7.4B$37.2A5.5B42.4B30.4B9.4B$
45.3B44.4B28.4B11.4B$44.5B44.4B26.4B13.B3D14.AB$43.B2AB2A45.4B24.2A2B
3.8B4.D2BA12.B2A$40.2A2.2A.AB2.2A42.4B22.ABAB3.5B2A3B4.D2AB11.2ABAB$
40.A2.B3.A.A2.A43.4B20.3BA4.4BA2BA2B5.ABAB9.A2B3A$41.7A.2A46.4B18.4B
4.8B2A2B5.4B7.A.ABAB$48.A49.4B16.4B4.3BA5B3A2B5.4B4.BABA.A$43.4A.A50.
4B14.4B6.BA.A3BAB.AB7.4B2.3A2BA$43.A2.2A52.4B12.4B9.2A3B3A7.2B.6BAB2A
$101.4B10.4B25.8B2.2AB$102.4B8.4B11.2A3B3A5.11B.BA$103.4B6.4B10.BA.A
3BAB.AB3.11B$104.4B4.4B10.3BA5B3A2B2.7B2A2B$105.10B12.8B2A2B.9B2AB7.A
7.2B$105.9B14.4BA2BA2B.15B4.A.A5.3B$104.9B15.5B2A3B2.5BA9B2.2BAB5.3A
2B$105.7B17.8B5.B2A9B2.B.2B5.B3A2B$107.6B28.2B2A7B2.2BA3B4.B.3AB$106.
2A6B27.2B2A7B2.BABA2B2.B3A.B$105.ABAB2.4B24.A.3B2A6B2.BA2BA4B3AB$104.
3BA4.4B22.A.A.8B5.2AB2A.2B3A$103.4B6.4B22.A3.3B2.2B5.BA2BAB2.3B$102.
4B8.4B26.2B11.2BAB2.2B$101.4B10.4B37.A2BAB$100.4B12.4B37.2A$99.4B14.
4B$98.4B16.4B$97.4B18.4B$96.4B20.4B$95.4B22.4B$94.4B24.4B$93.4B26.4B$
92.4B28.4B$91.4B30.4B$90.2A2B32.4B$89.ABAB34.4B$88.3BA36.4B$87.4B38.
4B$86.4B40.4B$85.4B42.4B$84.4B44.4B$83.4B46.4B$82.4B48.4B$81.4B50.4B$
80.4B52.4B$63.2A14.3DB54.4B$63.3B12.3BD4.8B44.4B$61.A3BA11.3BD4.3B2A
5B44.4B$61.A4BA9.4B5.B2ABA5B45.4B$62.BABA.A7.4B5.BA2BA7B45.4B$64.A.AB
AB4.2A2B5.2BA2BA4BA3B45.4B$65.A4BA2.ABAB7.BA.BA3BA.AB47.4B$66.A3BA4BA
.2B7.3A3B2A50.4B$66.3B2.8B66.4B$67.2A.11B5.3A3B2A52.4B$70.11B3.BA.BA
3BA.AB51.4B$70.11B2.2BA2BA4BA3B51.4B$54.2B7.A7.2BA9B.BA2BA7B53.4B$54.
BAB5.A.A4.3B3A9B.B2ABA5B55.4B$52.2BABA5.BA2B2.3B2AB2A7B2.3B2A5B56.4B$
52.BA3BA5.2B.B2.3B3A3B2AB5.8B58.4B$53.BA2B.A4.3BA2B2.2BA4B2A2B71.4B$
55.A.2BAB2.2BABAB2.11B72.4B$56.A3BA2B2A2B2A2.11B.A71.4B$57.ABA2B.2AB
2A5.8B.A.A71.4B$57.BAB2.2AB3A5.2B2.3B3.A73.4B$58.2B2.3AB11.2B79.4B$
62.BABAB92.4B$64.2A94.4B$161.4B$162.4B$163.4B$164.4B$165.4B$166.4B$
167.4B$168.4B$169.4B!

Posted: **July 16th, 2025, 1:32 am**

Smaller diagonal waveguide?

Code: Select all

x = 38, y = 46, rule = B3/S23
36b2o$35bobo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$26bo$25bo9b2o$24b
o9bobo$23bo9bo$22bo9bo$21bo9bo$20bo9bo$19bo9bo$18bo9bo$17bo9bo$16bo9b
o$15bo9bo$14bo9bo$13bo9bo$12bo9bo$11bo9bo$10bo9bo$9bo9bo$8bo9bo$7bo9b
o$6bo9bo$5bo9bo$4bo9bo$3bo9bo$2bo9bo$bo9bo$o9bo$o8bo$o7bo$o6bo$o5bo$o
4bo$o3bo$o2bo$obo$bo!

Posted: **July 17th, 2025, 4:21 am**

wick(fuse) working on double stream of blinkers

Code: Select all

x = 129, y = 7, rule = B3/S23
2ob2o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo$3b2o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$o2b2o3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo$2o$4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$4bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo$4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 30 WIDTH 1400 HEIGHT 320 ZOOM 3 AUTOSTART LOOP 200 ]]

Posted: **July 18th, 2025, 11:08 am**

barberpole catalyses a toad (at least a pentapole):

Code: Select all

#C [[ COLOR DEAD 0 0 0 COLOR BACKGROUND 0 0 0 GPS 2.5 WIDTH 937 HEIGHT 600 ]]
x = 18, y = 18, rule = LifeHistory
16.2C$15.ADC$14.B.B$13.A.A$12.B.B$5.DC2A2.A.A$5.2CA3B.2B$8.BA.A2B$8.B
.B.2BA$7.A.A3.2A$6.B.B4.2A$5.A.AB4.A$4.B.3BA$3.A.A2.2A$2.B.B3.2C$.A.A
4.CD$CDB$2C!

different orientation yields the same result, while different position might yield a completely different result.

Posted: **July 23rd, 2025, 5:19 am**

I came upon a small D2_x symmetric Coolout Conjecture counterexample while attempting a weld:

Code: Select all

x = 66, y = 10, rule = LifeHistory
7.A19.C11.C11.C11.C$6.A.A17.C.C9.C.C9.C.C9.C.C$6.A.A17.C.C9.C.C9.C.C
9.C.C$5.2A.2A15.2C.2C7.2C.2C7.2C.2C7.2C.2C$4.A19.C.2D8.C.2D8.C11.C$3.
A2.A16.C2.C8.C2.C8.C2.C3A5.C2.C3A$.3A.2A14.3CD2C6.3C.2C6.3CD2C2.A3.3C
.CE2.A$A19.C3.D7.C4.A6.C3.D7.C4.A$.3A17.3C9.3C.A7.3C9.3C.A$3.A19.C11.
C.2A8.C11.C.2A!

I know there are several counterexamples known already, but I feel like this particular one behaves in a very nice and simple way.

Posted: **July 23rd, 2025, 3:15 pm**

Resu wrote: July 23rd, 2025, 10:09 am
Zhako wrote: July 23rd, 2025, 7:50 am Mango appears on generation 4585 and dissapears on generation 8391
I also caught the predecessor of the mango on generation 4584
Also 2 toads.

See Mango.

"Mango is the twelfth most common still life on Adam P. Goucher's Catagolue, being less common than half-bakery but more common than eater 1. Among all still lifes with 8 cells, it is the second most common, being less common than pond but more common than long barge.[8] It is also the sixteenth most common object overall on Catagolue."

The fact that a mango appears during the evolution of a long-lasting methusaleh (not sure what the one you mention is, though) is not particularly unusual and likely doesn't deserve it's own thread unless it truly produced something unusual, like a very rare still-life or oscillator or pointed the way to a simpler synthesis of either the SL/Oscillator itself or a spaceship/larger oscillator/larger still life (both Toad and Mango are synthesizable in 3g, and since all 71 distinct 2g syntheses are tabulated these are minimal)

EDIT:

Resu wrote: July 23rd, 2025, 3:33 pm I knew that, I was just pointing out other 'rare' objects.

My bad, thought both messages were by the same person

EDIT 2:

hotdogPi wrote: July 23rd, 2025, 3:36 pm Toads are not rare.

Could you please merge that thread with this one?

Posted: **July 23rd, 2025, 3:33 pm**

WhiteHawk wrote: July 23rd, 2025, 3:15 pm The fact that a mango and multiple toads appear (& seemingly get destroyed) during the evolution of a long-lasting methusaleh (not sure what the one you mention is, though) is not particularly unusual and likely doesn't deserve it's own thread unless it truly produced something unusual, like a very rare still-life or oscillator or pointed the way to a simpler synthesis of either the SL/Oscillator itself or a spaceship/larger oscillator/larger still life (both Toad and Mango are synthesizable in 3g, and since all 71 distinct 2g syntheses are tabulated these are minimal)

I knew that, I was just pointing out other 'rare' objects.
Also, there's a actieve region in it which creates a glider and rapidly destroys it:

Code: Select all

x = 7, y = 9, rule = LifeHistory
5B2A$5B2A$3A4B$ABA4B$ABA4B$7B$2BA4B$2ABA3B$3BA3B!

Posted: **July 23rd, 2025, 3:36 pm**

Toads are not rare.

Posted: **July 23rd, 2025, 10:18 pm**

EvinZL wrote: May 13th, 2025, 5:31 pm Anyways, we can show that any glider-constructible pattern has a polyomino predecessor. Proof sketch: Note the following polyominoes lead to a block and glider:
Code: Select all
x = 45, y = 19, rule = B3/S23
o$o2bo$4o$2b2o$2b4o$4b2o$5b2o$5b4o$7b2o$8b2o31b3o$8b2o29b5o$9b2o28b2o
2b2o$9b2o27b2o3b2o$10b2o2b2o20b4o$10b6o14bo3b4o$12b3o14b3o2b2o$13b2o
14bob4o$13b4o11b2o3b2o$15b2o11b2o!
By using the dense overpopulation connectors shown, we can connect a block-predecessor with many glider-predecessors as long as they are sufficiently well-separated. Thus we can produce any monophase slow salvo, which are known to be universal.

As a corollary, we can make a polyomino predecessor for e.g. Patterns/HashLife/Eventful/ruler.mc (with the p24 glider guns replaced by the century hassler version), which provably does not stabilize according to the proposed definition in A383874.

✩i made a standardized version✩

Code: Select all

x = 110, y = 81, rule = LifeHistory
35.2A5.A.A.A.A.A.A.A.A.A$35.2A3.22A$36.A.23A$36.3A2.A.A.A.A.A.A.A.A.A
.3A$37.A20.3A$34.D24.3A$33.D24.3A$33.3D23.3A$58.3A$59.3A$58.3A$59.3A$
58.3A$59.3A$58.3A$59.3A$58.3A$59.3A$58.3A$59.3A$58.3A$59.3A$58.3A$36.
3D20.3A$36.D21.3A$37.D21.3A$40.A17.3A$39.3A2.2A.A.A.A.A.A.A.3A$39.A.20A
$38.2A3.19A$38.2A6.A.A.A.A.A.A.A19$48.3A16.3A$49.3A14.3A$48.3A16.3A$3D
46.3A14.3A$D47.3A16.3A$.D37.A.A.A.A.A.3A4.A.A.A.A.A.3A$4.A34.12A5.14A
15.3A11.3A$3.3A2.2A.A.A.A23.13A4.13A17.3A9.3A$3.A.12A23.A.A.A.A.A8.A.
A.A.A.A19.3A11.3A$2.2A3.10A69.3A9.3A$2.2A6.A.A.A.A68.3A11.3A$76.A.A.A
.A.A.3A.A.A.A.A.4A.A.A.A.A$76.34A$76.34A$77.A.A.A.A.3A.A.A.A.A.4A.A.A
.A.A$86.3A10.3A$3D44.3A16.3A16.3A10.3A$D47.3A14.3A18.3A10.3A$.D45.3A16.
3A16.3A10.3A$4.A43.3A14.3A18.3A10.3A$3.3A2.A.A.A.A.A30.3A16.3A16.3A10.
3A$3.A.13A20.A.A.A.A.A.3A4.A.A.A.A.A.3A18.3A10.3A$2.2A3.11A20.12A5.14A
$2.2A5.A.A.A.A.A20.13A4.13A$39.A.A.A.A.3A6.A.A.A.A.4A$48.3A15.3A$47.3A
15.3A$48.3A15.3A$47.3A15.3A$48.3A15.3A$47.3A15.3A$48.3A15.3A!

✩210-cell polyomino that makes beehive✩

Code: Select all

x = 27, y = 31, rule = B3/S23
2o5bobobobobobobobobo$2o3b22o$bob23o$b3o2bobobobobobobobobob3o$2bo20b
3o$24b3o$23b3o$24b3o$23b3o$24b3o$23b3o$24b3o$23b3o$24b3o$23b3o$24b3o$
23b3o$24b3o$23b3o$24b3o$23b3o$24b3o$23b3o$24b3o$23b3o$24b3o$5bo17b3o$
4b3o2b2obobobobobobob3o$4bob20o$3b2o3b19o$3b2o6bobobobobobobo!

✎yes, i know that there is a 6-cell version that is much easier, but this is standardized✎

Posted: **August 2nd, 2025, 2:47 pm**

Beehive shift using blocks, surely known:

Code: Select all

x = 3, y = 10, rule = B3/S23
b2o$b2o2$bo$obo$obo$bo2$b2o$b2o!

Posted: **August 2nd, 2025, 4:27 pm**

Resu wrote: August 2nd, 2025, 2:47 pm Beehive shift using blocks, surely known:
Code: Select all
x = 3, y = 10, rule = B3/S23
b2o$b2o2$bo$obo$obo$bo2$b2o$b2o!

If we have methods to remove the old blocks and insert new ones that can be repeated every 3 cells, we might be able to make a spaceship that pulls this along.
It will probably be easiest with slower rakes - are any p30 fireship-based rakes known?

Posted: **August 3rd, 2025, 5:17 am**

Sparking 2 Pi-heptomino creates 2 Pi-heptomino but shifted, along with 2 beehives:

Code: Select all

x = 13, y = 9, rule = LifeHistory
A11.A2$.2A.2A.2A.2A$2.A.A3.A.A$3.A5.A2$.2D.2D.2D.2D$2.D.D3.D.D$3.D5.D
!

Posted: **August 3rd, 2025, 8:44 am**

Resu wrote: August 3rd, 2025, 5:17 am Sparking 2 Pi-heptomino creates 2 Pi-heptomino but shifted, along with 2 beehives:
Code: Select all
x = 13, y = 9, rule = LifeHistory
A11.A2$.2A.2A.2A.2A$2.A.A3.A.A$3.A5.A2$.2D.2D.2D.2D$2.D.D3.D.D$3.D5.D
!

This could be repeated, leading a new Pi-forward dot sparking (+4 cells/9 ticks):

Code: Select all

x = 13, y = 29, rule = LifeHistory
A11.A2$.2A.2A.2A.2A$2.A.A3.A.A$D2.A5.A2.D4$D11.D4$D11.D4$D11.D4$D11.D
4$D11.D4$D11.D!
#C [[ Z 6 PASTET EVERY 9 PASTEDELTA 0 4 PASTE o11bo! 0 0 ]]

Edit: I forgot to post my unsure discovery

H + LWSS = FNG + H 90° turned

Code: Select all

x = 42, y = 21, rule = LifeHistory
21.17BEB.E$20.17BE2B$13.4B3.17BE3BE$12.7B.17B4E$12.8B2.19B$13.12B$12.
13B$10.15B$8.18B$8.2BE15B$7.3BEBE4B.8B$8.2B3E4B2.6B$7.5BE4B3.6B$6.10B
4.5B$5.4B10.6B$4.4B11.6B$3.4B13.5B$2.4B14.3D2B$.BD2B16.BDB$2D2B17.3D$
.2D19.B!

May be interesting for rakes or helix …

Posted: **August 4th, 2025, 7:57 pm**

This octomino? I use in c/10 often:

Code: Select all

x = 37, y = 24, rule = B3/S23
31b2o$30b4o2$10b2o17b6o$8b2o2b2o16b4o$10b2o$7bo6bo14b2o2b2o$8bo4bo13b
2obo2bob2o$10b2o18bo2bo$7b3o2b3o$7b2o4b2o$31b2o$31b2o$10b2o$9bo2bo15bo
bo2bobo$27bo2bo2bo2bo$8bo4bo13bo8bo$7b2o4b2o12bo8bo$6bo2bo2bo2bo11b2o
6b2o$6b2ob4ob2o13b6o$b3o4bo4bo8b3o$o20bo$o2bo17bo2bo$b2o19b2o!

Is this pattern familiar? At the end you get a Spark Coil with a little debris.

Code: Select all

x = 9, y = 10, rule = B3/S23
6b2o$5bo2bo$8bo$5b3o3$b3o$o$o2bo$b2o!

Edit!

Mr. T, you should keep your eyes skinned! There is a double Pi reaction in this pattern!

Posted: **August 5th, 2025, 8:28 am**

Regenerative loop glider eater?

Code: Select all

x = 15, y = 14, rule = B3/S23
obo$b2o6b2o$bo7bobob2o$11bob2o$11bo$8b2obo$9bobobo$9bo2b2o$7bobo$7b2o
3$7b2o$7b2o!

Eating 3 gliders:

Code: Select all

x = 20, y = 19, rule = B3/S23
4bo$5bo$3b3o3$obo$b2o6b2o$bo7bobob2o$11bob2o$11bo$8b2obo$9bobobo$9bo2b
2o$7bobo$7b2o2$17b3o$7b2o8bo$7b2o9bo!

Posted: **August 5th, 2025, 10:33 am**

Resu wrote: August 5th, 2025, 8:28 am Regenerative loop glider eater?
Code: Select all
snip
Eating 3 gliders:
Code: Select all
x = 20, y = 19, rule = B3/S23
4bo$5bo$3b3o3$obo$b2o6b2o$bo7bobob2o$11bob2o$11bo$8b2obo$9bobobo$9bo2b
2o$7bobo$7b2o2$17b3o$7b2o8bo$7b2o9bo!

Four with a SW incoming and timed Glider hitting the dot spark :

Code: Select all

x = 25, y = 27, rule = LifeHistory
9.A$10.A$8.3A3$5.A.A$6.2A6.2A$6.A7.A.A.2A$16.A.2A$16.A$13.2A.A$14.A.A
.A$14.A2.2A$12.A.A$12.2A2$22.3A$10.D.2A8.A$12.2A9.A6$.A$.2A$A.A!
#C [[ STOP 25 ]]

Surely some other lane/orientation/timing will work, I didn't check.

Posted: **August 5th, 2025, 1:16 pm**

Resu wrote: August 5th, 2025, 8:28 am Regenerative loop glider eater?
Code: Select all
x = 15, y = 14, rule = B3/S23
obo$b2o6b2o$bo7bobob2o$11bob2o$11bo$8b2obo$9bobobo$9bo2b2o$7bobo$7b2o
3$7b2o$7b2o!

Reduced a bit, but now it can only eat 2 gliders.

Code: Select all

x = 15, y = 14, rule = B3/S23
obo$b2o6b2o$bo7bobo$11bo$11bob2o$8b2obobo$9bobobo$9bo2bo$7bobo$7b2o3$
7b2o$7b2o!

Edit: Opps, it was just the sparking eater (it can still eat more gliders form different directions, though):

Code: Select all

x = 45, y = 16, rule = B3/S23
2bo28bo$obo29b2o$b2o28b2o5$39b2o2b2o$10b2o2b2o20bo3bo2b2o$7bo3bo2b2o16b
2o2b4o$3b2o2b4o12b2o7bo$3bo19bobo7b5o$4b5o14bo14bo$9bo23b2o2b2o$6b3o24b
2o$6bo!

Posted: **August 10th, 2025, 4:50 pm**

HF + 2 blocks leads to land of lakes (as well as seven ship ties):

Code: Select all

x = 46, y = 64, rule = LifeHistory
44.2A$44.2A4$25.3A$24.A3.A$23.A5.A$24.A3.A$25.3A6$28.2A$28.2A34$8.2D$
7.D2.D$7.D2.D$8.2D.2D$10.D2.D$10.D2.D$11.2D$.2D$D2.D$D2.D$.2D.2D$3.D
2.D$3.D2.D$4.2D!

This might be the most common way for land of lakes to form naturally, although I do not have any data on how common the less familiar fours are.

Posted: **August 11th, 2025, 9:21 pm**

PK22 wrote: August 10th, 2025, 4:50 pm HF + 2 blocks leads to land of lakes (as well as seven ship ties):
Code: Select all
x = 46, y = 64, rule = LifeHistory
44.2A$44.2A4$25.3A$24.A3.A$23.A5.A$24.A3.A$25.3A6$28.2A$28.2A34$8.2D$
7.D2.D$7.D2.D$8.2D.2D$10.D2.D$10.D2.D$11.2D$.2D$D2.D$D2.D$.2D.2D$3.D
2.D$3.D2.D$4.2D!
This might be the most common way for land of lakes to form naturally, although I do not have any data on how common the less familiar fours are.

Well if true, this would mean that land of lakes is an index fossil....
Note that at generation 9504 the posted pattern converges to a small, symmetric land of lakes predecessor. Now then there are two reasonable ways to form a land of lakes:

Through this predecessor forming randomly without going through your posted pattern
Your posted pattern producing the predecessor

Now the problem with the second option is that your posted pattern takes over 9000 generations an a ridiculous amount of space until forming it. Together with the pattern of activity this means that in a random soup the HF+2 blocks collision will not form a land of lakes unless it is the only pattern around. Meanwhile, a small predecessor arising randomly is likely to form a complete land of lakes regardless of its surroundings. I couldn't find precise data on the frequency but I would guess that very few land of lakes form this way compared to the total.

Posted: **August 12th, 2025, 1:46 pm**

H-to-B with terrible clearance. I'm not entirely sure whether this is known or useful.

Code: Select all

x = 15, y = 17, rule = LifeSuper
3.B$.5B8.A$6B6.3A$2B3C2B4.A$2BC4B4.2A$B3C4B.4B$11B$12B.B$13B2A$.10B.B
2A$4.7B2.B$3.7B$2.8B$3.D2B2D2B2A$4.3D3BA.A$4.BD2B4.A$12.2A!

Posted: **August 13th, 2025, 1:35 am**

Traffic light push?

Code: Select all

x = 27, y = 95, rule = LifeHistory
22.A$21.A$21.3A10$16.A$15.A$15.3A10$10.A$9.A$9.3A10$4.A$3.A$3.3A4$2.C
$.3C$2C.2C$.3C$2.C10$6.3A$6.A$7.A10$12.3A$12.A$13.A10$18.3A$18.A$19.A
10$24.3A$24.A$25.A!

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