Oscillator Discussion Thread

[AGreason]

Blinkerspawn and I have been working on some results derived from the above in the discord, and have determined that the p6 and 8 agars are both embeddings of stripe oscillators into the form of phoenix agars. (specifically, they're a simple background pattern XORed with the specified stripe patten). So any wolfram rule 18 (which describes the behavior of those stripes) spatially periodic even-length oscillator in which all on cells have equal spatial parity (that is, the distance between any pair of on cells is even) can be converted into a cgol phoenix agar of the same period. Oscillators of this form for periods 2, 4, 6, 8, 10, 12, 14, 24, 28, 30, 62, 124, 126, 1022 have been found via brute force search.

The question now is if there exist such r18 oscillators of all even periods, and if so how to construct them.

There do exist r18 oscillators with all live cells of the same spatial parity of all even periods, and as such there exist phoenix agars of all even periods.
(On discord: https://discord.com/channels/3579222555 ... 2070934702)

I have the proof as a pdf, but I can't attach a pdf here, so attaching the LaTeX source as a txt file.

This makes the status of phoenix oscillators as far as I know:

Finite, period 2: examples known
Finite, periods other than 2: Proven impossible by apg with earlier partial results by David Silver and myself.

Infinite, even periods: all exist, by this result.
Infinite, period 3, 5, or 7: Proven impossible by me using SAT solvers
Infinite, odd period >7: Believed not to exist but not proven.

[mvr]

p56 R hassler

Code: Select all

x = 28, y = 32, rule = B3/S23
6bo$6b3o5b2o$9bo4b2o$8b2o2$2o22b2o$bo22bo$bobo8bo9bobo$2b2o7bo10b2o$10b3o$11b
o$17b2o$17b2o7$9b2o$9b2o$16bo$15b3o$4b2o10bo7b2o$3bobo9bo8bobo$3bo22bo$2b2o
22b2o2$18b2o$12b2o4bo$12b2o5b3o$21bo!

p68 HF hassler

Code: Select all

x = 33, y = 33, rule = B3/S23
12bo9bo$12b3o5b3o$15bo3bo$14b2o3b2o$9b2o$10bo$10bobo$11b2o2$4bo$4b3o8bo15b2o$
7bo6bobo14bo$2o4b2o6bobo12bobo$bo13bo13b2o$bobo$2b2o5b2o$9b2o9b2o$9b2o8bo2bo
6b2o$20b2o7bobo$2b2o4b3o20bo$bobo21b2o4b2o$bo23bo$2o11bob3o8b3o$13bob3o10bo$
13bo$20b2o$20bobo$22bo$22b2o$12b2o3b2o$13bo3bo$10b3o5b3o$10bo9bo!

p138 ??? hassler

Code: Select all

x = 36, y = 49, rule = B3/S23
27bo$25b3o$24bo$24b2o5$7b2o$2o5b2o$bo$bobo$2b2o3$19b3o$18b3obo$17bo2bob2o$16b
o2bo2bo$3b2o12b2o$4bo$b3o$bo4$34bo$32b3o$31bo$17b2o12b2o$13bo2bo2bo$12b2obo2b
o$13bob3o$14b3o3$32b2o$32bobo$34bo$27b2o5b2o$27b2o5$10b2o$11bo$8b3o$8bo!

[vilc]

I have the proof as a pdf, but I can't attach a pdf here, so attaching the LaTeX source as a txt file.

You can get around this by posting a .zip archive containing the pdf.

The proof is quite interesting. Is the result that rule 90 has agars of all periods found in earlier litterature?

[AGreason]

The proof is quite interesting. Is the result that rule 90 has agars of all periods found in earlier litterature?

Probably, but I didn't find it in a few of the obvious places, or else I would've just cited them for it.

[synperiplanar]

p68 HF hassler

Code: Select all

x = 33, y = 33, rule = B3/S23
12bo9bo$12b3o5b3o$15bo3bo$14b2o3b2o$9b2o$10bo$10bobo$11b2o2$4bo$4b3o8bo15b2o$
7bo6bobo14bo$2o4b2o6bobo12bobo$bo13bo13b2o$bobo$2b2o5b2o$9b2o9b2o$9b2o8bo2bo
6b2o$20b2o7bobo$2b2o4b3o20bo$bobo21b2o4b2o$bo23bo$2o11bob3o8b3o$13bob3o10bo$
13bo$20b2o$20bobo$22bo$22b2o$12b2o3b2o$13bo3bo$10b3o5b3o$10bo9bo!

easy reduction as pointed out by inomed

Code: Select all

x = 33, y = 33, rule = B3/S23
22bo$20b3o$19bo$19b2o$9b2o$10bo$10bobo$11b2o2$4bo$4b3o8bo15b2o$7bo6bo
bo14bo$6b2o6bobo12bobo$15bo13b2o2$9b2o$9b2o9b2o$9b2o8bo2bo$20b2o$2b2o
4b3o$bobo21b2o$bo23bo$2o11bob3o8b3o$13bob3o10bo$13bo$20b2o$20bobo$22b
o$22b2o$12b2o$13bo$10b3o$10bo!

[Sokwe]

The proof is quite interesting. Is the result that rule 90 has agars of all periods found in earlier litterature?

Probably, but I didn't find it in a few of the obvious places, or else I would've just cited them for it.

The first such proof was apparently by Mark A. Shereshevsky and Valentin S. Afraimovich in 1992. The full citation is

Code: Select all

Mark A. Shereshevsky and Valentin S. Afraimovich, Bipermutative cellular automata are topologically conjugate to the one-sided Bernoulli shift, Random & Computational Dynamics 1 (1992), 91-98.

but I wasn't able to find a copy online when I looked a few months ago.

The result was also proved independently by Masakazu Nasu in 1995, and I have attached a .zip archive containing a DjVu file of the book with the proof (specifically, Proposition 3.14 on page 51). If you read it, you might wonder how it relates to Rule 90. It turns out that Rule 90 is a bipermutive block map of (1,1) type on a full shift space over an alphabet of two symbols, say {0,1}. Thus by Proposition 3.14, Rule 90 is conjugate to the one sided double-shift (ordinary shift applied twice) on an alphabet on two symbols. We can then make a sequence of 0s and 1s such that it is periodic with the desired period under the double-shift map, and these correspond to infinite patterns that are periodic with the desired period in Rule 90. This is explained more clearly in Jeremias Epperlein's dissertation, but the link is unfortunately not working at the moment.

The above proof actually essentially boils down to this much more readable proof of omniperidicity in rule 150 (which works just as well for rule 90) that I independently discovered a few months ago. This same idea was also implicitly used by pzq_alex about 4 years ago to construct oscillators and spaceships in certain rules that emulate Rule 90. So the fact that Rule 90 is omniperiodic has been independently proven several times.

[C_R_116]

P64 B-heptomino hassler:

Code: Select all

x = 45, y = 47, rule = B3/S23
9bo3bo12bobo2bo$8bobobobo11b3obob2o$9b2ob2o11bo6bo$26bo5b2o$6bo9bo$5bo
bo7bobo7b2o5bo$5bo3b2ob2o3bo8bo6bo$6bo3bobo3bo8b2obob3o$7b2obobob2o11b
o2bobo$9bo3bo4$36bo3bo$15b2o18bobobobo$36b2ob2o2$24b3o6bo9bo$23bo2bo5b
obo7bobo$23bo3bo4bo3b2ob2o3bo$22b2obobo5bo3bobo3bo$22b2ob2o7b2obobob2o
$23b3o10bo3bo2$4bo3bo10b3o$2b2obobob2o7b2ob2o$bo3bobo3bo5bobob2o$o3b2o
b2o3bo4bo3bo$obo7bobo5bo2bo$bo9bo6b3o2$4b2ob2o$3bobobobo18b2o$4bo3bo4$
31bo3bo$12bobo2bo11b2obobob2o$12b3obob2o8bo3bobo3bo$11bo6bo8bo3b2ob2o
3bo$12bo5b2o7bobo7bobo$28bo9bo$11b2o5bo$12bo6bo11b2ob2o$11b2obob3o11bo
bobobo$13bo2bobo12bo3bo!

[KtT]

P60 pulsar hassler, a completion of one of cvojan's partial that comes from the Period1GliderGun's partials collection:

Code: Select all

x = 27, y = 57, rule = B3/S23
5b2o$5b2o6$5b3o9b3o$16bo3bo$5bobo8bo3bo$4b5o8b3o$3b2o3b2o$3b2o3b2o3$6b
o10b3o$7b2o7bo3bo$16bo3bo3b3o$9bo7b3o4b3o$25bo$5bo2bo16bo$5b2o3bo14bo
$10bo2bo2bo7bobo$10b4o2b4o$12bob2ob2obo$6b2o3b2o11bobo$3o4b2o3b2o11bo
$3o6b2obobobo8bo$bo8b2o3b2o8bo$bo8bobobob2o6b3o$bo11b2o3b2o4b3o$obo11b
2o3b2o$6bob2ob2obo$7b4o2b4o$obo7bo2bo2bo$bo14bo3b2o$bo16bo2bo$bo$3o4b
3o7bo$3o3bo3bo$6bo3bo7b2o$7b3o10bo3$17b2o3b2o$17b2o3b2o$7b3o8b5o$6bo3b
o8bobo$6bo3bo$7b3o9b3o6$20b2o$20b2o!

[mvr]

p77 I-heptomino hassler

Code: Select all

x = 56, y = 29, rule = B3/S23
27b2o$27b2o$20b2o$21bo$6b2o13bobo24b2o$6bobo13b2o16b2o5bobo$4bobobo31b
o6bobobo$3bobo2bob2o26bobo3b2obo2bobo$2bo2bobobo2bo14bo10b2o3bo2bobobo
2bo$2b2obo2bo2bobo12b3o13bobo2bo2bob2o$5b2o5bo16bo13bo5b2o$2b2obo21bob
o20bob2o$o2bo24bo23bo2bo$2o2bo4b2o4b2o22b2o4b2o4bo2b2o$9b2o3bo2bo20bo
2bo3b2o$2o2bo4b2o4b2o22b2o4b2o4bo2b2o$o2bo23bo24bo2bo$2b2obo20bobo21bo
b2o$5b2o5bo13bo16bo5b2o$2b2obo2bo2bobo13b3o12bobo2bo2bob2o$2bo2bobobo
2bo3b2o10bo14bo2bobobo2bo$3bobo2bob2o3bobo26b2obo2bobo$4bobobo6bo31bob
obo$6bobo5b2o16b2o13bobo$6b2o24bobo13b2o$34bo$34b2o$27b2o$27b2o!

[KtT]

p50 pi hassler: leftover blinker seems like it'll be hard to delete. You can use a p5 dot spark in place of the fishhook, if that helps.

Code: Select all

x = 33, y = 37, rule = B3/S23
27b2o$27bo$24b2obo$23bobob2o$23bobo4b2o$24bo2bob2obo$32bo$27b5o$24b4ob
o$23b2o$b2o19bo$2bo17b2obo$2bobo18bo$3b2o$20bo2bo$2o20b2o$bo$bobo$2b2o
$10b2ob2o$10bo3bo14bo$11b3o13b3o$26bo$4b2o20b2o$5bo$2b3o13b3o$2bo14bo
3bo$17b2ob2o$28b2o$28bobo$30bo$30b2o2$10b2o15b2o$9bobo15bobo$9bo19bo$
8b2o19b2o!

Completed:

Code: Select all

x = 42, y = 73, rule = B3/S23
29bo$28bobo$29bo$38bo$25b2o10bobo$25b2o2b2o6bobo$29b2o5b2ob2o$40bo$38b
2o$26b2o5bo2b2obobo$22b2o2bobo3bo7b2o$21bo2bo2b3ob2o$22bo6b3o3b2o$23b
3o4bo4b2o$25bo9bo$27bo5bo2$22b2o5b3o3b2o$23bo6bo4b2o$23bobo4bo$24b2o$
28bo$28b2o$6b2o20b3o$7bo22b2o$7bobo$8b2o$27b2o$5b2o20b2o$6bo$6bobo$7b
2o$15b2ob2o$15bo3bo14bo$16b3o13b3o$31bo$9b2o20b2o$10bo$7b3o13b3o$7bo14b
o3bo$22b2ob2o$33b2o$33bobo$35bo$13b2o20b2o$13b2o$32b2o$32bobo$10b2o22b
o$11b3o20b2o$12b2o$13bo$16b2o$11bo4bobo$5b2o4bo6bo$5b2o3b3o5b2o2$8bo5b
o$6bo9bo$5b2o4bo4b3o$5b2o3b3o6bo$9b2ob3o2bo2bo$2o7bo3bobo2b2o$obob2o2b
o5b2o$2b2o$bo$b2ob2o5b2o$2bobo6b2o2b2o$2bobo10b2o$3bo$12bo$11bobo$12b
o!

This is also a population reduction for a p50 pi-heptomino hassler from this post.

[Timelord Missionary]

Some sorta p12 shuttle partial:

Code: Select all

x = 30, y = 65, rule = LifeHistory
6$12.A$11.A.A7.A$11.A.A5.3A$9.2A2.2A3.A$8.A2.2A3.A.BA$8.3A2.3A2B.A$11.
A2B.B.2A$10.A.B.AB$10.B4A$11.BAB$11.3B2$4.2A3.2AB.B2A3.2A$5.A2.A.AB.B
A.A2.A$3.A4.2A2B.2B2A4.A$2.A.4A2.2B.2B2.4A.A$2.A4.A.2AB.B2A.A4.A$3.3A
.A.2A3.2A.A.3A$5.2A2BA5.A2B2A$7.B2A5.2AB$7.B3A.A.3AB$8.A7BA$8.B2A3B2A
B$9.B5AB$11.3B$12.B$11.3A$11.3A$11.3A$8.C2.BAB2.C$9.BA3BAB$8.2BABABA2B
$7.B2AB3AB2AB$7.2B2A3B2A2B$8.9B$9.7B$8.D2.3B2.D$11.3B$10.5B$11.3A$12.
B$11.3B$9.2A3B2A$8.B7AB$8.2B.3B.2B$9.A5.A$7.BA.AB.BA.AB$4.2B2A.B2A.2A
B.2A2B$4.2A.4BA.A4B.2A$3.3BA3B.A.A.3BA3B$4.A.B.2A.A.A.2A.B.A$3.B4A2B2A
.2A2B4AB$3.A2.A2.B.A.A.B2.A2.A$4.2A.3A.A.A.3A.2A$6.A.A2.A.A2.A.A$6.A3.
2A.2A3.A$5.2A11.2A!

It desperately needs p6 or p12 corner sparks. I bet you anything that there is a better way to support it, but this is the best way I could think of.

Also, this p11 pi hassler from P1GG's extroduction collection is too cool not to repost and let y'all see it again, if you haven't already. I'll just let his words speak for themselves:

Complete pi hassler, me, 3/14/26

Code: Select all

x = 36, y = 31, rule = B3/S23
25b2o$25b2o2$23b4o$18b2o2bo3bo$18bo2bobob2o$19bobobo$18b2obobob2o2b2o
$21bo3b2o3bo2bo$15bo5bob2o5bobobo$15b3o4b2o3b2obo2bo$10bo7bo8bo2bo$10b
3o4b2o9b2o$13bo$12b2o7b3o8bo$20bo3bo6bobo$20b2ob2o7bo$14bo14b3o$13bob
o12b3o$bo12bob2o10bo$obo6bo5bobo3bo7bo2bo$bo3bobo5bo6bobo7bob3o$5b2ob
o12bo6bobo4bo$7bobo17bob2o3b2o$8bo18bo$2b2o22b2o$bobo$bo7b2o$2o7bo$10b
3o$12bo!

[8than888]

Hi! I'm new to the forums, although I've been experimenting with Conway's Game of Life for years. Lately I tried to make a period 19 oscillator so I started experimenting with traffic light hasslers and I think I've come close to finding a p19 traffic-light hassler.

Code: Select all

x = 19, y = 22, rule = B3/S23
5b2o5b2o$4bo2bo3bo2bo$4bobo5bobo$5bo7bo2$2b2o11b2o$bobo4b3o4bobo$bo15b
o$2o15b2o2$9bo$8bobo$7bo3bo$8bo2bo$8bobo3$9bo$3b2o3b3o3b2o$3b2o2b5o2b
2o$7b5o$9bo!

It doesn't quite work yet, but I'm trying to find a catalyst or two that will make the reaction work. Any suggestions would be appreciated.

[NNlk05]

Hi! I'm new to the forums, although I've been experimenting with Conway's Game of Life for years. Lately I tried to make a period 19 oscillator so I started experimenting with traffic light hasslers and I think I've come close to finding a p19 traffic-light hassler.

Code: Select all

x = 19, y = 22, rule = B3/S23
5b2o5b2o$4bo2bo3bo2bo$4bobo5bobo$5bo7bo2$2b2o11b2o$bobo4b3o4bobo$bo15b
o$2o15b2o2$9bo$8bobo$7bo3bo$8bo2bo$8bobo3$9bo$3b2o3b3o3b2o$3b2o2b5o2b
2o$7b5o$9bo!

It doesn't quite work yet, but I'm trying to find a catalyst or two that will make the reaction work. Any suggestions would be appreciated.

Had you tried Barrister and/or CatForce?

[8than888]

Hi! I'm new to the forums, although I've been experimenting with Conway's Game of Life for years. Lately I tried to make a period 19 oscillator so I started experimenting with traffic light hasslers and I think I've come close to finding a p19 traffic-light hassler.

Code: Select all

x = 19, y = 22, rule = B3/S23
5b2o5b2o$4bo2bo3bo2bo$4bobo5bobo$5bo7bo2$2b2o11b2o$bobo4b3o4bobo$bo15b
o$2o15b2o2$9bo$8bobo$7bo3bo$8bo2bo$8bobo3$9bo$3b2o3b3o3b2o$3b2o2b5o2b
2o$7b5o$9bo!

It doesn't quite work yet, but I'm trying to find a catalyst or two that will make the reaction work. Any suggestions would be appreciated.

Had you tried Barrister and/or CatForce?

Not yet, I also don't know how to use them because I'm using a phone for all this

[NNlk05]

Not yet, I also don't know how to use them because I'm using a phone for all this

I highly suggest using a PC (or at least a laptop) if you have one for GoL.
As for "I don't know how to use them", please reach out to my PM's and I'll teach you. (or Discord if you have it)

[Chris857]

Crosspost from Discord. All posted by hotdogPi / David Raucci on June 10, 2026.

p14 century hassler

Code: Select all

x = 37, y = 29, rule = B3/S23
16b3o$15bo3bo$14b2o3bo5b2o$2o10bob2o3b2o3bobo$bo9b2obo2bo5b3o$bobo6b2o
9b2o5b2o2b2o$2b2o5b2o9b2o6bobo2bo$6b3o5bo2bob2o9bobo$5bobo3b2o3b2obo
10bob2o$5b2o5bo3b2o10b2o$12bo3bo9b3o6b2o$13b3o9bo4bo5bo$25b5obob3o$26b
o4bobo$25b3o2bobo$19bo4bob3o$18b3o6b2o5bo$17bo2bo2bo3b2o4bobo$17b2o4bo
3b2o4bobo$7bo19b2o5bo$6bob2obob3o8bob3o$5bo2bobob4o9b3o2bobo$5b7obo12b
o4bobo$9bobo13b5obob3o$4bob2obo3bo11bo4bo5bo$4b2obobob2obo11b3o6b2o$8b
obo3bo13b2o$10bo3b2o$10b2o!

p29 century hassler

Code: Select all

x = 69, y = 54, rule = B3/S23
49b2o$50bo$46bobo$42bo2bob6o$42b4o6bo$10b2o34b4o$10b2o5bo24b3obo2b2o$
16bobo22bo2b2o2b3o$17bo23b2o5b2o$10bo37b2o$9b3o35b3o3b3o3b2o$8b2ob2o3b
o25b2o5bobobo5b2o$9b3o3b3o25bo7bo$3b2o5bo3b2ob2o24bobo$3bo11b3o26b2o3b
o$2obo12bo32bobo$o2bob2o17bo26b3o4bo$2b2obo17bo17b2o14bobo$3bobo16bob
o2b2o13bo6bo8bo$2bo2b2o15b3o2b2o13bobo4bo$3b2o2bo5b2o28b2o3bo$4bob2o6b
o4b2o27bo$4bobo4b3o6bo26bobo$3b2obobo2bo5b3o11b2o15bobo$7b2o8bo12bobo
16b2o$21b2o6b2o$21b2o7b2o$37b2o7b2o$38b2o6b2o$18b2o16bobo12bo8b2o$18b
obo15b2o11b3o5bo2bobob2o$19bobo26bo6b3o4bobo$20bo27b2o4bo6b2obo$20bo3b
2o28b2o5bo2b2o$19bo4bobo13b2o2b3o15b2o2bo$10bo8bo6bo13b2o2bobo16bobo$
9bobo14b2o17bo17bob2o$10bo4b3o26bo17b2obo2bo$17bobo32bo12bob2o$19bo3b
2o26b3o11bo$23bobo24b2ob2o3bo5b2o$17bo7bo25b3o3b3o$8b2o5bobobo5b2o25b
o3b2ob2o$8b2o3b3o3b3o35b3o$19b2o37bo$19b2o5b2o23bo$18b3o2b2o2bo22bobo
$18b2o2bob3o24bo5b2o$19b4o34b2o$16bo6b4o$16b6obo2bo$20bobo$18bo$18b2o
!

p32 century hassler

Code: Select all

x = 53, y = 20, rule = B3/S23
10b4o25b2ob2o3b2ob2o$9bo7b2o19bo5bobo5bo$9bo3b2o2b2o24b2ob2o$10bo2b2o
26bo7bo$38bo2bob2ob2obo2bo$39bo3bo3bo3bo$21b2o17b2ob2ob2ob2o$20bobo18b
o2bobo2bo$19b2o21bobobobo$20b2o21bo3bo$5bo3bo21b2o$4bobobobo21b2o$3bo
2bobo2bo18bobo$2b2ob2ob2ob2o17b2o$bo3bo3bo3bo$o2bob2ob2obo2bo$3bo7bo
26b2o2bo$5b2ob2o24b2o2b2o3bo$o5bobo5bo19b2o7bo$b2ob2o3b2ob2o25b4o!

[NNlk05]

p14 century hassler

Code: Select all

x = 37, y = 29, rule = B3/S23
16b3o$15bo3bo$14b2o3bo5b2o$2o10bob2o3b2o3bobo$bo9b2obo2bo5b3o$bobo6b2o
9b2o5b2o2b2o$2b2o5b2o9b2o6bobo2bo$6b3o5bo2bob2o9bobo$5bobo3b2o3b2obo
10bob2o$5b2o5bo3b2o10b2o$12bo3bo9b3o6b2o$13b3o9bo4bo5bo$25b5obob3o$26b
o4bobo$25b3o2bobo$19bo4bob3o$18b3o6b2o5bo$17bo2bo2bo3b2o4bobo$17b2o4bo
3b2o4bobo$7bo19b2o5bo$6bob2obob3o8bob3o$5bo2bobob4o9b3o2bobo$5b7obo12b
o4bobo$9bobo13b5obob3o$4bob2obo3bo11bo4bo5bo$4b2obobob2obo11b3o6b2o$8b
obo3bo13b2o$10bo3b2o$10b2o!

-2 Cells

Code: Select all

x = 37, y = 31, rule = B3/S23
37b1$37b1$16b3o18b1$15b1o3b1o17b1$14b2o3b1o5b2o10b1$2o10b1o1b2o3b2o3b1o1b1o10b1$1b1o9b2o1b1o2b1o5b3o5b2o4b1$1b1o1b1o6b2o9b2o5b2o2b1o4b1$2b2o5b2o9b2o6b1o1b2o5b1$6b3o5b1o2b1o1b2o9b1o6b1$5b1o1b1o3b2o3b2o1b1o10b1o6b1$5b2o5b1o3b2o10b2o7b1$12b1o3b1o9b3o6b2o1$13b3o9b1o4b1o5b1o1$25b5o1b1o1b3o1b1$26b1o4b1o1b1o3b1$25b3o2b1o1b1o4b1$19b1o4b1o1b3o8b1$18b3o6b2o5b1o2b1$17b1o2b1o2b1o3b2o4b1o1b1o1b1$17b2o4b1o3b2o4b1o1b1o1b1$7b1o19b2o5b1o2b1$6b1o1b2o1b1o1b3o8b1o1b3o8b1$5b1o2b1o1b1o1b4o9b3o2b1o1b1o4b1$5b7o1b1o12b1o4b1o1b1o3b1$9b1o1b1o13b5o1b1o1b3o1b1$4b1o1b2o1b1o3b1o11b1o4b1o5b1o1$4b2o1b1o1b1o1b2o1b1o11b3o6b2o1$8b1o1b1o3b1o13b2o7b1$10b1o3b2o21b1$10b2o25b!

[Period1GliderGun]

p14 century hassler

Code: Select all

snip

-2 Cells

Code: Select all

snip

-25

Code: Select all

x = 36, y = 23, rule = B3/S23
b2o3bobo$o2bo2bo2bo$o9bo$o2bo4b4o15b2o$2o3b4o3b2o11b3o6b2o$2b4o4bo2bo
10bo4bo5bo$3bo9bo11b4obob3o$4bo2bo2bo2bo16bobo$5bobo3b2o12b3o2b2o$25b
3o2b2o$25b3o3bobo$17b3o5b3ob2obobo$17bo2bo4b3ob2obobo$6bo10bobo5b3o3b
obo$5bobob2o2b2o10b3o2b2o$4bo2bob2o2b2o10b3o2b2o$4b4o22bobo$8b2o15b4o
bob3o$3bob2o3bobo11bo4bo5bo$3b2obobob2obo11b3o6b2o$7bobo3bo13b2o$9bo3b
2o$9b2o!

[WhiteHawk]

Also, this p11 pi hassler from P1GG's extroduction collection is too cool not to repost and let y'all see it again, if you haven't already. I'll just let his words speak for themselves:

Complete pi hassler, me, 3/14/26

Code: Select all

Remember, the p11 thumb has a minimized stator which can fit when the standard version can't (2-cell reduction below)

Code: Select all

x = 36, y = 31, rule = B3/S23
23b2o$24bo$23bo$23b4o$21b2o3bo$20bo2bob2o$18bo2bobo$18b2obobob2o2b2o$
21bo3b2o3bo2bo$15bo5bob2o5bobobo$15b3o4b2o3b2obo2bo$10bo7bo8bo2bo$10b
3o4b2o9b2o$13bo$12b2o7b3o8bo$20bo3bo6bobo$20b2ob2o7bo$14bo14b3o$13bob
o12b3o$bo12bob2o10bo$obo6bo5bobo3bo7bo2bo$bo3bobo5bo6bobo7bob3o$5b2ob
o12bo6bobo4bo$7bobo17bob2o3b2o$8bo18bo$2b2o22b2o$bobo$bo7b2o$2o7bo$10b
3o$12bo!

[C_R_116]

P140 C hassler (also has gun variant):

Code: Select all

x = 59, y = 49, rule = B3/S23
26bo$25bobo$26bobobo2b2o$28bobo3bo$29bob3o$16b2o4b2o4bo$16bobo2bobo5bo
b3o9b2ob2o4b2o$18b4o8b2o2bo7bob2obo4bo$16bo2b2o2bo8b2obo6bo4bob2obo$
16bo2b2o2bo5b3obo2bo3b2ob4obobo2b2o$18bo2bo6bo6b2o2bobobo2bo4bobo$29bo
2bo6bob2o2bo2b4o2bo$30bo7b2obo2bo4bo2b2o$38bo2b4o5b2o$38b3o3bo6bo$38bo
2b4o4bo$2bo35b2obo7b2o$2b3o16b2o16bobob2o$5bo14bo2b2o14bobob2o$4b2o14b
o4bo14bo$21bo3bo$22b3o4$3b2o$2bobo$2bo27b3o$b2o26bo3bo$14bo14bo4bo$10b
2obobo14b2o2bo$10b2obobo16b2o$4b2o7bob2o28b2o$5bo4b4o2bo26b2o2b2o$3bo
6bo3b3o26bo4bo6b2o$3b2o5b4o2bo27bo2bo7bo$b2o2bo4bo2bob2o7bo17bobo2bobo
6b3o$o2b4o2bo2b2obo6bo2bo16b2o4b2o8bo$bobo4bo2bobobo2b2o6bo6bo2bo$2o2b
obob4ob2o3bo2bob3o5bo2b2o2bo$2bob2obo4bo6bob2o8bo2b2o2bo$2bo4bob2obo7b
o2b2o8b4o$b2o4b2ob2o9b3obo5bobo2bobo$26bo4b2o4b2o$21b3obo$20bo3bobo$
20b2o2bobobo$27bobo$28bo!

[Entity Valkyrie 2]

Not something "new", but it is worth noting this variant of Tanner's P46 which as a different clearance profile (the eater shown here would not fit in the usual one):

Code: Select all

x = 60, y = 26, rule = LifeHistory
5.2A34.2A$6.A35.A$6.A.AB32.A.AB$7.2AB.2A30.2AB.2A$9.2B2AB20.A10.2B2AB
$9.4B20.A.A9.4B$9.6B18.A.A9.6B$6.9B16.3A.2A5.9B$5.11B14.A4.B5.11B$5.
12B14.3AB2A4.12B$5.13B15.A.2A4.13B$.A4.15B14.B6.15B$.3A3.4B2A10B12.B
3AB3.4B2A10B$4.A.5BABA10B11.5AB.5BABA10B$3.A.A7BA9B11.ABA2B.A8BA9B$3.
2A6BABA7B13.2AB.2BA6BABA7B$6.2B.2B2A4B.B16.B3.A4B.2B2A4B.B$3.2A4.7B
26.A2.7B$D2.A5.6B21.C4.BAB2.5B$3D2.A4.6B20.3C3.A4.4B$3.D2A4.5B24.C7.
3B$2.2D7.2B25.2C5.2A3.2A$10.2A33.2BA.A2B$10.A33.A2B3.2BA$12.A32.2A3.
2A$11.2A!

This actually appeared in my lobster gun.

[8than888]

I've been trying to build a p11 pipsquirter based on the catalyst used in several Lifewiki pipsquirters.

I first tried adapting the known p10 and p14 pipsquirters, but I wasn't able to find a compatible p11 signal source. After searching several routes, the most promising lead seems to be activating the catalyst with this traffic-light-predecessor reaction instead of a 2c/3 signal.

Code: Select all

x = 18, y = 14, rule = B3/S23
b2o7b2o2b2o$bo2b2o5bo2bo$2b2o2bo3bo4bo$3bobobo2b2o2b2o$bobobob3o2bo3b
2o$ob2ob2o4bob2o2bo$o3bo3b2obobob2o$b2obob2o2bo$3bobo3bo$3bobob2o2b3o$
4b2obo3b3o$7bo4bo$4b3o$4bo!

Some reactions I've already investigated:
- p11 signal injectors
- p11 billiard-table configurations
- period multipliers
- phase-shifting reactions
- Diamondback phases
- pipsquirter catalyst activations (traffic light, phi spark, beehive)
- traffic-light-predecessor reactions

I haven't been able to turn any of them into a p11 pipsquirter yet. Is this a known obstacle?

[KtT]

P46 R-pentomino hassler, a completion of one of HotdogPi's partial:

Code: Select all

x = 43, y = 64, rule = B3/S23
28b2o5b2o$28b2o5b2o$28b2o5b2o$28b3o3b3o$28bobo3bobo$28bo2bobo2bo$30b2o
b2o5$28b2o5b2o$28b2obobob2o$28bo2bobo2bo$22bo5b3o3b3o$20b3o$19bo$19b2o
5$42bo$40b3o$39bo$27bo3b2o7bo$39b2o$9bo5bobo4bo7bobo$8bobo4bo4b4o5b3o
7b2o$9bo9bo10bo9bo$21b3obo3bo9bo$15b2o2bo2bobob2o11b2o$2b2o11b2obobo2b
o2b2o$3bo9bo3bob3o$2bo9bo10bo9bo$2b2o7b3o5b4o4bo4bobo$10bobo7bo4bobo5b
o$2b2o$2bo7b2o3bo$3bo$3o$o5$22b2o$23bo$20b3o$6b3o3b3o5bo$6bo2bobo2bo$
6b2obobob2o$6b2o5b2o5$8b2ob2o$6bo2bobo2bo$6bobo3bobo$6b3o3b3o$6b2o5b2o
$6b2o5b2o$6b2o5b2o!

EDIT: Reduced by replacing two eater 1s into two blocks:

Code: Select all

x = 43, y = 64, rule = B3/S23
28b2o5b2o$28b2o5b2o$28b2o5b2o$28b3o3b3o$28bobo3bobo$28bo2bobo2bo$30b2o
b2o5$28b2o5b2o$28b2obobob2o$28bo2bobo2bo$28b3o3b3o2$16b2o$16b2o5$42bo
$40b3o$39bo$27bo3b2o7bo$39b2o$9bo5bobo4bo7bobo$8bobo4bo4b4o5b3o7b2o$9b
o9bo10bo9bo$21b3obo3bo9bo$15b2o2bo2bobob2o11b2o$2b2o11b2obobo2bo2b2o$
3bo9bo3bob3o$2bo9bo10bo9bo$2b2o7b3o5b4o4bo4bobo$10bobo7bo4bobo5bo$2b2o
$2bo7b2o3bo$3bo$3o$o5$25b2o$25b2o2$6b3o3b3o$6bo2bobo2bo$6b2obobob2o$6b
2o5b2o5$8b2ob2o$6bo2bobo2bo$6bobo3bobo$6b3o3b3o$6b2o5b2o$6b2o5b2o$6b2o
5b2o!

[hotcrystal0]

P27 dependent reflector loop:

Code: Select all

x = 93, y = 87, rule = B3/S23
24bo31bo$23bobo29bobo$23bobo29bobo$22b2ob2o4bo17bo4b2ob2o$22bo8b3o13b
3o8bo$23bob2o7bo11bo7b2obo$21bobob2o6b2o11b2o6b2obobo$21b2o35b2o$29bo
21bo$28bobo19bobo$24b2o2bo2bo4b2o5b2o4bo2bo2b2o$24b2o3b2o4bo2bo3bo2bo
4b2o3b2o$35b2obo3bob2o$35b2ob2ob2ob2o$35b2obo3bob2o$21b2o4b2o5b2ob2o3b
2ob2o$21bobo2bo2bo6bo7bo23bo$23bo5bo37bobo2b2o7b2o$23bobo3bo37bobo3bo
7bo2b2o$21b2o4bobo14bo20b2obob3o9b2ob3o$20bo2b3o3bo13bo20bobobobo6b2o
9bo$21b2o3b4o13b3o17bo6bo6b2o3b2ob3o$23b2obo5bo31b4obo12b2obo$23bo2bo
b5o34bo4b2o$24bobobo35b2obobo3bo4b2o$25bo4bo22b2o7bo2bobo9bo2bo$29b2o
7bo14bobo6b2obobo4bo4bobo$36b2o15bo11bo3b2o7bo5b2o$11b2o24b2o26b2o17b
o$8b2o2bo69bobo$6b3ob2o64bo5b2o$5bo9b2o55b2o2b2o$6b3ob2o3b2o43b2o9b3o
3b2o$8bob2o18bo28b2o11b2o2bobo$30bobo28bo12b4o$14b2o14b2o42b2o$13bo2b
o$14bobo57b2o$8b2o5bo58b4o$9bo56b3o3b2o2bobo$9bobo54bo4b3o3b2o$10b2o5b
o49bo4b2o2b2o$16b2o2b2o4bo49bo5b2o$15b2o3b3o4bo54bobo$15bobo2b2o3b3o56b
o$16b4o58bo5b2o$18b2o57bobo$77bo2bo$18b2o42b2o14b2o$16b4o12bo28bobo$15b
obo2b2o11b2o28bo18b2obo$15b2o3b3o9b2o43b2o3b2ob3o$16b2o2b2o55b2o9bo$10b
2o5bo64b2ob3o$9bobo69bo2b2o$9bo17b2o26b2o24b2o$8b2o5bo7b2o3bo11bo15b2o
$14bobo4bo4bobob2o6bobo14bo7b2o$13bo2bo9bobo2bo7b2o22bo4bo$14b2o4bo3b
obob2o35bobobo$20b2o4bo34b5obo2bo$8bob2o12bob4o31bo5bob2o$6b3ob2o3b2o
6bo6bo17b3o13b4o3b2o$5bo9b2o6bobobobo20bo13bo3b3o2bo$6b3ob2o9b3obob2o
20bo14bobo4b2o$8b2o2bo7bo3bobo37bo3bobo$11b2o7b2o2bobo37bo5bo$25bo23b
o7bo6bo2bo2bobo$47b2ob2o3b2ob2o5b2o4b2o$48b2obo3bob2o$48b2ob2ob2ob2o$
48b2obo3bob2o$37b2o3b2o4bo2bo3bo2bo4b2o3b2o$37b2o2bo2bo4b2o5b2o4bo2bo
2b2o$41bobo19bobo$42bo21bo$34b2o35b2o$34bobob2o6b2o11b2o6b2obobo$36bo
b2o7bo11bo7b2obo$35bo8b3o13b3o8bo$35b2ob2o4bo17bo4b2ob2o$36bobo29bobo
$36bobo29bobo$37bo31bo!

[KtT]

Gun-supported p300 lumps of muck hassler:

Code: Select all

x = 116, y = 116, rule = B3/S23
20b2o2b2ob2o20bo$18b3obo2bobobo8bo3b2o3b3o$17bo4b2obo3bo2bo3b3o2bobo2b
o$17bob3o3bo3bobob2o3bo3bo3b2o$18bo2b2obo4bobo2bo2bo$22b2o3b3o4bo2bo16b
2o$24bo4bo2bo18b2o2bo$21bobo9b2o15b2ob2o$19b3ob5obo2bobo10bo4b2o$18bo
3bo6bobo3bo5b2o3bo3b2o$18b2o2bobob2obobob2o9b2o4b2ob2o$23b2obobo3bobo
bo4b2ob2o5b2o2bo$35b2o4b3o10b2o3$28b2o$27b3o57b2o2bo$26bob2o56bob4o20b
2o$25bobo58bo18b2o4bo2bo$25bo2bo55b2ob7o11bobo4bobo$26b2o23bo30bo2bob
o6bo12bo4bob2o$20b2o22bo5b3o29b2o3bob2o2b2o12b2o2b2o2bo$19bobo21bobo3b
5o32b2ob2o14b2o3b2ob2o$19bo23bobo58bo2b2obo2bo$16b2obo23bob2o57b2obob
obo3bo$17bobob2o73b2o9bo4b4o$17bobob2o64bo7bo2bo5b2obo$16b2obo7b2o14b
ob2o39bobo6bobobo5bobo2bo3b2o$16bo2b4o3bo2bo7b2o4bobo40bobo7bo2bo4bo5b
o4bo$17b2o3bo4b2o8bobo3bobo3b5o33bo12bo4b3ob6o$19b2o18bo4bo5b3o44bobo
$19bo19b2o10bo53b2o4b2o$21bo82bo2bobo3bo$20b2o83bo2bo3bo$91b2o11b2ob2o
b3o$62b2o26b2o11bo2bo$51b2o8bo2bo27bo10b2o8bo$51bo2b6o2b3o21b2o22b2ob
o$52b2o6b2o25bo24b3o$49b3o10bo21b3o$42bo6bo2bobo4bob2o21bo$43bo6b2o4b
2o45b2obo6bo$41b3o59b2obo5bobo$86b3o2b3o9bo9b2o$85bo8bo9b2o$86b3o2b3o
10b2obo$88bo2bo14bo5b2o$112bobo$114bo$75b2o9bo6bo20b2o$74bobo8b2o6b2o
10b4o$36b2o36bobob2o4b3o6b3o8b6o$35bobo37bobobo5b2o6b2o9bo4bo$35bobob
2o36bo8bo6bo11bo2bo$36bobobo35b2o25bobo2bobo$38bo36b3o25b2o4b2o$37b2o
36b3o$36b3o36b3o$36b3o36b3o$36b3o37b2o$5b2o4b2o23b3o38bo$5bobo2bobo24b
2o36bobobo$7bo2bo11bo6bo8bo36b2obobo$6bo4bo9b2o6b2o5bobobo37bobo$6b6o
8b3o6b3o4b2obobo36b2o$7b4o10b2o6b2o8bobo$2o20bo6bo9b2o$bo54b3o$bobo52b
obo$2b2o5bo14bo2bo28bo2bo$8bob2o10b3o2b3o27bobo$10b2o9bo8bo26b3o$b2o9b
o9b3o2b3o$bobo5bob2o$2bo6bob2o51b2o$31bo21b2o8bo2bo$29b3o21bo2b6o2b3o
$b3o24bo25b2o6b2o$2bob2o22b2o21b3o10bo$2bo8b2o10bo27bo2bobo4bob2o$9bo
2bo11b2o26b2o4b2o$3b3ob2ob2o11b2o$3bo3bo2bo83b2o$2bo3bobo2bo82bo$3b2o
4b2o53bo10b2o19bo$16bo46b3o5bo4bo18b2o$b6ob3o4bob2o6b2o35b5o3bobo3bob
o14bo3b2o$o4bo5bo7bo5b2o43bobo4b2o14b4o2bo$2o3bo2bobo4bo2bobo48b2obo15b
2o6bob2o$8bob2o5bo2bo67b2o3b2obobo$4o4bo9b2o60bo12b2obobo$o3bobobob2o
57b2obo7b2o14bob2o$2bo2bob2o2bo58bobo6bobo14bo$b2ob2o3b2o14b2ob2o32b5o
3bobo21bobo$o2b2o2b2o12b2o2b2obo3b2o29b3o5bo22b2o$2obo4bo12bo6bobo2bo
30bo23b2o$bobo4bobo11b7ob2o55bo2bo$bo2bo4b2o18bo56bobobo$2b2o20b4obo55b
3obo$24bo2b2o56b3o4$60b2o10b3o4b2o$60bo2b2o5b2ob2o4bobobo3bobob2o$61b
2ob2o4b2o9b2obobob2obobo2b2o$64b2o3bo3b2o5bo3bobo6bo3bo$64b2o4bo10bob
o2bob5ob3o$61b2ob2o15b2o9bobo$60bo2b2o18bo2bo4bo$60b2o16bo2bo4b3o3b2o
$78bo2bo2bobo4bob2o2bo$68b2o3bo3bo3b2obobo3bo3b3obo$69bo2bobo2b3o3bo2b
o3bob2o4bo$66b3o3b2o3bo8bobobo2bob3o$66bo20b2ob2o2b2o!