Oscillator Discussion Thread

[Scorbie]

Crosspost from discord: user erRoR_606 noticed that Beluchenko's p37 is completely stable without the outer block at some point:

Code: Select all

x = 40, y = 39, rule = B3/S23
$12b2o11b2o$11bobo11bobo3$7bo4b3o9b3o4bo$6bobo3bobo9bobo3bobo$5bo2bo
21bo2bo$6b2o5bo2b2o3b2o2bo5b2o$17bo3bo$13bo3bo3bo3bo$2bo11bo9bo11bo$bo
3b2o25b2o3bo$b2o2bo2bobo17bobo2bo2b2o$5b2o4bo15bo4b2o2$8bo21bo$8b3o17b
3o4$8b3o17b3o$8bo21bo2$5b2o4bo15bo4b2o$b2o2bo2bobo17bobo2bo2b2o$bo3b2o
25b2o3bo$2bo11bo9bo11bo$13bo3bo3bo3bo$17bo3bo$6b2o5bo2b2o3b2o2bo5b2o$
5bo2bo21bo2bo$6bobo3bobo9bobo3bobo$7bo4b3o9b3o4bo3$11bobo11bobo$12b2o
11b2o!

Which would possibly make phase-shift oscillators.

Here's a p5 analogue of 37p7.1 in the hope to be used in the above context, but the p5 version is very fragile and fails.

Code: Select all

#C Here's a p5 analogue of 37p7.1. I searched for it in the hope of rephasing beluchenko's p37 into a p75 but it's so fragile and it doesn't work.
x = 23, y = 14, rule = B3/S23
9bo$9b3o$b2o9bo$bo9bobo2bobo$2b3ob2o2bob4ob2o$4bobo7bo6b2o$6bobo3bobob
2o3bo$bo3b2obo3bobob2o$o7bo3bobo2bo$o3b4o2b2o2bobobobo$bo2b2ob3o4b2obo
b2o$9bo7bo$9bobo2b2obo$10b2o2bobo! 
!

It is possible that the oscillator can be reduced.

[Sokwe]

Crosspost from discord: user erRoR_606 noticed that Beluchenko's p37 is completely stable without the outer block at some point... Which would possibly make phase-shift oscillators.

Here's a p5 analogue of 37p7.1 in the hope to be used in the above context, but the p5 version is very fragile and fails.

I tried some fairly generous LLS searches, but wasn't able to find anything at p3 or p5. I think the p75 = 37+38 oscillator would need to be supported by p15 or p25 block hasslers.

Sokwe, p3 supports might work to reduce this hassler:

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x = 31, y = 28, rule = B3/S23
5bob2o$6bo$9bo$8b3o$7bo3bo$5bo7bo8b2o$5bo7bo8bo6b2o$b2o2bo3bobo5bo2bo
bo7bo$2o5bob2obo7b2o5b3o$bo6bo2b3o3bo9bo$2bob5obob3obo$11b3obo$4bo2bo
5bob2o7bo$4bo4b5o3b3o3bobo$5bobo3b3o3b5o4bo$6bo7b2obo5bo2bo$15bob3o$14b
ob3obob5obo$3bo9bo3b3o2bo6bo$b3o5b2o7bob2obo5b2o$o7bobo2bo5bobo3bo2b2o
$2o6bo8bo7bo$7b2o8bo7bo$19bo3bo$20b3o$21bo$24bo$22b2obo!

I also tried to find p3 supports for this p51 engine, but was unsuccessful. I was again fairly generous with both the interaction site and the decaying spark, so if a solution does still exist, it's probably not easy to find.

[MathAndCode]

Does this count as a p4 honey farm hassler? I think that it should count as a p4 honey farm hassler.

Code: Select all

x = 43, y = 41, rule = B3/S23
16b2o3b2o3b2o$16bobobo2bobobo$18bobo2bobo$15bo3bob2obo3bo$14bobob3o2b
3obobo$14bobobo2b2o2bobobo$13b2obobo6bobob2o$16bob2ob2ob2obo$16b2o3b2o
3b2o$13b2obob3o2b3obob2o$14bobo2bo4bo2bobo$14bobo4b2o4bobo$15bo4bo2bo
4bo$16b3o6b3o$18bobo2bobo$3b2o14b6o$3bo$2obo2b2o$o2bob5o5bo6bo$2b2obo
2bo2bo3b2o3bo2bob2o$6b2obobob3obobo3bobob3obobob2o$16b2obo2bo3b2o3bo2b
o2bob2o$20bo6bo5b5obo2bo$35b2o2bob2o$39bo$18b6o14b2o$17bobo2bobo$15b3o
6b3o$14bo4bo2bo4bo$13bobo4b2o4bobo$13bobo2bo4bo2bobo$12b2obob3o2b3obo
b2o$15b2o3b2o3b2o$15bob2ob2ob2obo$12b2obobo6bobob2o$13bobobo2b2o2bobo
bo$13bobob3o2b3obobo$14bo3bob2obo3bo$17bobo2bobo$15bobobo2bobobo$15b2o
3b2o3b2o!

This is the hassled central region that would become a honey farm on its own.

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x = 5, y = 5, rule = B3/S23
3bo$bo2bo$o3bo$o2bo$bo!

[confocaloid]

I think it shouldn't count as a HF hassler. I think considering it "HF hassler" loses the idea of hassling
There are two issues:

1. Simply removing those eight bits from generation 0 causes failure of the remainder of the pattern. The given oscillator doesn't hassle that 8-bit configuration.
   EDIT: see the next post by hotcrystal0 for a pattern that seems to resolve this item: viewtopic.php?p=206496#p206496
2. Even if it were possible to remove those 8 bits while leaving everything else unchanged, the period is too low, and I don't see here anything resembling a common pre-honeyfarm sequence.

(What will be next? Imagine a low-period oscillator hassling some early generation of a long-lasting object that evolves into a single glider and nothing else. Suppose "low-period" means below 10 ticks, and "long-lasting" means hundreds of ticks. Would you want to describe such an oscillator as "glider hassler" merely because it hassles a glider predecessor? Would that be a good helpful description? Would that be a helpful category?)

I think the situation with "HF hasslers" is comparable. Most of them don't hassle the honey farm constellation, and instead hassle some predecessor.
It would be interesting to look through known "HF hasslers" and subdivide them into some (more clearly and precisely defined) categories, depending on the specific predecessor / evolutionary sequence.

Does this count as a p4 honey farm hassler? I think that it should count as a p4 honey farm hassler.

Code: Select all

x = 43, y = 41, rule = B3/S23
16b2o3b2o3b2o$16bobobo2bobobo$18bobo2bobo$15bo3bob2obo3bo$14bobob3o2b
3obobo$14bobobo2b2o2bobobo$13b2obobo6bobob2o$16bob2ob2ob2obo$16b2o3b2o
3b2o$13b2obob3o2b3obob2o$14bobo2bo4bo2bobo$14bobo4b2o4bobo$15bo4bo2bo
4bo$16b3o6b3o$18bobo2bobo$3b2o14b6o$3bo$2obo2b2o$o2bob5o5bo6bo$2b2obo
2bo2bo3b2o3bo2bob2o$6b2obobob3obobo3bobob3obobob2o$16b2obo2bo3b2o3bo2b
o2bob2o$20bo6bo5b5obo2bo$35b2o2bob2o$39bo$18b6o14b2o$17bobo2bobo$15b3o
6b3o$14bo4bo2bo4bo$13bobo4b2o4bobo$13bobo2bo4bo2bobo$12b2obob3o2b3obo
b2o$15b2o3b2o3b2o$15bob2ob2ob2obo$12b2obobo6bobob2o$13bobobo2b2o2bobo
bo$13bobob3o2b3obobo$14bo3bob2obo3bo$17bobo2bobo$15bobobo2bobobo$15b2o
3b2o3b2o!

This is the hassled central region that would become a honey farm on its own.

Code: Select all

x = 5, y = 5, rule = B3/S23
3bo$bo2bo$o3bo$o2bo$bo!

[hotcrystal0]

Does this count as a p4 honey farm hassler? I think that it should count as a p4 honey farm hassler.

Code: Select all

x = 43, y = 41, rule = B3/S23
16b2o3b2o3b2o$16bobobo2bobobo$18bobo2bobo$15bo3bob2obo3bo$14bobob3o2b
3obobo$14bobobo2b2o2bobobo$13b2obobo6bobob2o$16bob2ob2ob2obo$16b2o3b2o
3b2o$13b2obob3o2b3obob2o$14bobo2bo4bo2bobo$14bobo4b2o4bobo$15bo4bo2bo
4bo$16b3o6b3o$18bobo2bobo$3b2o14b6o$3bo$2obo2b2o$o2bob5o5bo6bo$2b2obo
2bo2bo3b2o3bo2bob2o$6b2obobob3obobo3bobob3obobob2o$16b2obo2bo3b2o3bo2b
o2bob2o$20bo6bo5b5obo2bo$35b2o2bob2o$39bo$18b6o14b2o$17bobo2bobo$15b3o
6b3o$14bo4bo2bo4bo$13bobo4b2o4bobo$13bobo2bo4bo2bobo$12b2obob3o2b3obo
b2o$15b2o3b2o3b2o$15bob2ob2ob2obo$12b2obobo6bobob2o$13bobobo2b2o2bobo
bo$13bobob3o2b3obobo$14bo3bob2obo3bo$17bobo2bobo$15bobobo2bobobo$15b2o
3b2o3b2o!

Now it’s a “true” hassler, because it uses parts that are stable by themselves:

Code: Select all

x = 39, y = 41, rule = B3/S23
13b2o10b2o$13bo12bo$15bo8bo$11b5o2bo2bo2b5o$10bo5b8o5bo$10bob5o6b5obo
$13bo4b4o4bo$11b2o2bo2bo2bo2bo2b2o$14b2o8b2o$13b2o10b2o$4bo8b2o10b2o$
3bob2obo5bo4b2o4bo$o2bobo2bo6b2o6b2o9bo$3ob2obobo20bob2obo$3bobo3bo6b
o6bo6bo2bobo2bo$2b2o2bo3bo6b6o6bobob2ob3o$3bo2bo4bob2o14bo3bobo$bo3bo
3b2o2b2o13bo3bo2b2o$b9o3bo6bo3b2obo4bo2bo$13bo4bo2bo2b2o2b2o3bo3bo$b9o
3bo3bo3bo3bo3b9o$bo3bo3b2o2b2o2bo2bo4bo$3bo2bo4bob2o3bo6bo3b9o$2b2o2b
o3bo13b2o2b2o3bo3bo$3bobo3bo14b2obo4bo2bo$3ob2obobo6b6o6bo3bo2b2o$o2b
obo2bo6bo6bo6bo3bobo$3bob2obo20bobob2ob3o$4bo9b2o6b2o6bo2bobo2bo$13bo
4b2o4bo5bob2obo$12b2o10b2o8bo$12b2o10b2o$13b2o8b2o$10b2o2bo2bo2bo2bo2b
2o$12bo4b4o4bo$9bob5o6b5obo$9bo5b8o5bo$10b5o2bo2bo2b5o$14bo8bo$12bo12b
o$12b2o10b2o!

[confocaloid]

[...] There are two issues: [...]

[...] Now it’s a “true” hassler, [...]

The oscillator posted by hotcrystal0 resolves the first of two issues I mentioned above, but not the second.
See also my reply in another thread: viewtopic.php?p=206497#p206497

[iNoMed]

Here's a new variant of a period-15 traffic-light hassler originally found by JP21, originally posted by EV2 as this 128-cell p3-supported variant to the Discord server:

Code: Select all

x = 31, y = 28, rule = B3/S23
11b2o5b2o$12bo5bo$9bobo7bobo2$8bobo9bobo$8bo2bo7bo2bo$5b2obo13bob2o$6b
o3b2o7b2o3bo$2o4bob2o11b2obo4b2o$bo5bo15bo5bo$bobo11bo11bobo$2b2o8bo5b
o8b2o$6bo3bo9bo3bo$6bo3bo3b3o3bo3bo$6bo3bobo5bobo3bo4$3b4o17b4o$bo4b3o
13b3o4bo$o3bo4bo11bo4bo3bo$bobob2ob2o11b2ob2obobo$4bo21bo$4bo21bo$2b2o
bo19bob2o$bob2o21b2obo$bo27bo$2o27b2o!

Here's a 108-cell variant with period-5 supports and an Elkies' p5 catalysis:

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x = 31, y = 23, rule = B3/S23
8bo2bo7bo2bo$7bob2obo5bob2obo$8bo2bo7bo2bo$8bo2bo7bo2bo$7bob2obo5bob2o
bo$8bo2bo7bo2bo2$15bo$12bo5bo$6bo3bo9bo3bo$6bo3bo3b3o3bo3bo$6bo3bobo5b
obo3bo$2b2o23b2o$bobo23bobo$bo27bo$2o6bo13bo6b2o$5bob2o13b2obo$5b2obo
13bob2o$3b2o3b2o11b2o3b2o$2bo2b3o15b3o2bo$2b2obo19bob2o$5bo19bo$5b2o
17b2o!

And here's a 102-cell pentadecathlon-supported variant:

Code: Select all

x = 31, y = 28, rule = B3/S23
8bo2bo7bo2bo$7bob2obo5bob2obo$8bo2bo7bo2bo$8bo2bo7bo2bo$7bob2obo5bob2o
bo$8bo2bo7bo2bo2$15bo$12bo5bo$6bo3bo9bo3bo$6bo3bo3b3o3bo3bo$6bo3bobo5b
obo3bo$2b2o23b2o$bobo23bobo$bo27bo$2o27b2o$8bo13bo$7b3o11b3o$6b5o9b5o
7$6b5o9b5o$7b3o11b3o$8bo13bo!

[Sokwe]

Here's a new variant of a period-15 traffic-light hassler originally found by JP21

Note that this is a period-15 wick from the osc-supported section of jslife. Here is a slightly smaller p3 solution, although it's larger than the p5 and p15 solutions:

Code: Select all

x = 61, y = 26, rule = B3/S23
11b2o35b2o$10bobo35bobo2$9b2o39b2o$9bo41bo$8bo43bo$5b2o2b3o37b3o2b2o$
6bobobo39bobobo$2o4bob3o11b2o13b2o11b3obo4b2o$bo5b2o13b2o13b2o13b2o5bo
$bobo53bobo$2b2o3b4o9b6o9b6o9b4o3b2o$6bo4bo3bo3bo6bo3bo3bo6bo3bo3bo4bo
$5bo6bo2bo2bo8bo2bo2bo8bo2bo2bo6bo$6bo4bo3bo3bo6bo3bo3bo6bo3bo3bo4bo$
7b4o9b6o9b6o9b4o3$2bo3b3o43b3o3bo$bob2obo47bob2obo$bobo53bobo$2obo53bo
b2o$3bobo49bobo$3bobo49bobo$4bobo47bobo$5bob3o41b3obo!

Edit: octagon 2 / fire-spitting can be replaced with caterer for a slightly smaller version:

Code: Select all

x = 31, y = 22, rule = B3/S23
8bo13bo$6bo3b4o3b4o3bo$6bo3bo9bo3bo$6bo17bo$9bo11bo$7b2o13b2o3$10bo4bo
4bo$5b5ob2o2bo2b2ob5o$10bo4bo4bo$2b2o23b2o$bobo23bobo$bo27bo$2o6bo13bo
6b2o$5bob2o13b2obo$5b2obo13bob2o$3b2o3b2o11b2o3b2o$2bo2b3o15b3o2bo$2b
2obo19bob2o$5bo19bo$5b2o17b2o!

[hotcrystal0]

Edit: octagon 2 / fire-spitting can be replaced with caterer for a slightly smaller version:

Code: Select all

x = 31, y = 22, rule = B3/S23
8bo13bo$6bo3b4o3b4o3bo$6bo3bo9bo3bo$6bo17bo$9bo11bo$7b2o13b2o3$10bo4bo
4bo$5b5ob2o2bo2b2ob5o$10bo4bo4bo$2b2o23b2o$bobo23bobo$bo27bo$2o6bo13bo
6b2o$5bob2o13b2obo$5b2obo13bob2o$3b2o3b2o11b2o3b2o$2bo2b3o15b3o2bo$2b
2obo19bob2o$5bo19bo$5b2o17b2o!

Flipping the Elkie’s P5s makes the catalysis interaction a bit less weird (same minpop):

Code: Select all

x = 31, y = 22, rule = B3/S23
8bo13bo$6bo3b4o3b4o3bo$6bo3bo9bo3bo$6bo17bo$9bo11bo$7b2o13b2o3$10bo4b
o4bo$5b5ob2o2bo2b2ob5o$10bo4bo4bo$2b2o23b2o$bobo23bobo$bo27bo$2o6bo13b
o6b2o$8b2obo7bob2o$8bob2o7b2obo$7b2o3b2o3b2o3b2o$9b3o2bobo2b3o$11bob2o
b2obo$11bo7bo$10b2o7b2o!

[hotdogPi]

Existing p23 doubled to p46 via a twin bees shuttle block reaction

Code: Select all

x = 42, y = 37, rule = B3/S23
28bo$26b3o$16b2o7bo$17bo7b2o$17bobo$12b2o4b2o$12bobo16b2o$14bo16bo$14b
2obo11bobo$12b2o4b2o4bo4b2o$11bo2b6o4bo$11b2obo3bob4o$14bob2o7bobo$14b
obo7bo$13b2obobo15b2o$17b2o15bobob2o$28bo7bobo$25bobo7b2obo$29b4obo3bo
b2o$28bo4b6o2bo$22b2o4bo4b2o4b2o$21bobo11bob2o$21bo16bo$20b2o16bobo$
33b2o4b2o$26b2o5bobo$26b2o7bo$35b2o$6o5b4o$4o7b2obo$3b2obo7bo$5b2o5b2o
2$5b2o5b2o$3b2obo7bo$4o7b2obo12b2o$6o5b4o12b2o!

[C_R_116]

P48 HF:

Code: Select all

x = 39, y = 36, rule = B3/S23
8bo2bobo9b2o3b2o$6b2obob3o8b2obobob2o$7bo6bo6b3obobob3o$6b2o5bo6bo3b2o
b2o3bo$20bo11bo$7bo5b2o6bo9bo$6bo6bo$7b3obob2o9b2ob2o$2bo4bobo2bo10bob
obobo$b3o20bo3bo$3obo$bo3bo$2bo3bo$3bob3o$4b3o14b3o$5bo9b3o6bo$14bo4bo
5bo$13bo11bo$13bo11bo$13bo5bo4bo$14bo6b3o9bo$15b3o14b3o$31b3obo$32bo3b
o$33bo3bo$34bob3o$10bo3bo20b3o$9bobobobo10bo2bobo4bo$10b2ob2o9b2obob3o
$25bo6bo$7bo9bo6b2o5bo$6bo11bo$6bo3b2ob2o3bo6bo5b2o$7b3obobob3o6bo6bo$
8b2obobob2o8b3obob2o$9b2o3b2o9bobo2bo!

[hotcrystal0]

P48 HF:

Code: Select all

x = 39, y = 36, rule = B3/S23
8bo2bobo9b2o3b2o$6b2obob3o8b2obobob2o$7bo6bo6b3obobob3o$6b2o5bo6bo3b2o
b2o3bo$20bo11bo$7bo5b2o6bo9bo$6bo6bo$7b3obob2o9b2ob2o$2bo4bobo2bo10bob
obobo$b3o20bo3bo$3obo$bo3bo$2bo3bo$3bob3o$4b3o14b3o$5bo9b3o6bo$14bo4bo
5bo$13bo11bo$13bo11bo$13bo5bo4bo$14bo6b3o9bo$15b3o14b3o$31b3obo$32bo3b
o$33bo3bo$34bob3o$10bo3bo20b3o$9bobobobo10bo2bobo4bo$10b2ob2o9b2obob3o
$25bo6bo$7bo9bo6b2o5bo$6bo11bo$6bo3b2ob2o3bo6bo5b2o$7b3obobob3o6bo6bo$
8b2obobob2o8b3obob2o$9b2o3b2o9bobo2bo!

Reduced:

Code: Select all

x = 39, y = 36, rule = B3/S23
23b2o3b2o$22b2obobob2o$21b3obobob3o$20bo3b2ob2o3bo$20bo11bo$7b2o12bo9b
o$6b3o$5bobo2bo2b2o9b2ob2o$5b2o2b2o2b2o8bobobobo$9b2o13bo3bo5$21b3o$4b
2o9b3o6bo12b2o$2bob2o8bo4bo5bo9bob2o$bo11bo11bo8bo$4bo8bo11bo11bo$2ob
o9bo5bo4bo8b2obo$2o12bo6b3o9b2o$15b3o5$10bo3bo13b2o$9bobobobo8b2o2b2o
2b2o$10b2ob2o9b2o2bo2bobo$30b3o$7bo9bo12b2o$6bo11bo$6bo3b2ob2o3bo$7b3o
bobob3o$8b2obobob2o$9b2o3b2o!

[C_R_116]

P96 HF/R:

Code: Select all

x = 51, y = 42, rule = B3/S23
30b2o$29bo2bo$28bo2bo$28bo6bo$27bo2bo3bobo$11b2o15b3o3b2o$7b2o2b2o$7b
2o2bob2o13b3o3b2o$12b3o12bo2bo3bobo$28bo6bo$28bo2bo$12b2o15bo2bo7b3o3b
3o$12b2o16b2o7bo3bobo3bo$39bo3bobo3bo$38bob4ob4obo$38b2o9b2o3$27b3o12b
2ob2o$21b3o3b2obo10bobobobo$21b3o2bo3bo11bo3bo$4bo3bo11bo3bo2b3o$3bobo
bobo10bob2o3b3o$4b2ob2o12b3o3$2o9b2o$ob4ob4obo$bo3bobo3bo$bo3bobo3bo7b
2o16b2o$2b3o3b3o7bo2bo15b2o$19bo2bo$15bo6bo$14bobo3bo2bo12b3o$15b2o3b
3o13b2obo2b2o$38b2o2b2o$15b2o3b3o15b2o$14bobo3bo2bo$15bo6bo$19bo2bo$
18bo2bo$19b2o!

[Period1GliderGun]

Stable (3,18) dual TL push:

Code: Select all

x = 30, y = 16, rule = B3/S23
4b2o$4bo$2bobo$2b2ob2o$5bo$5bo12b3o$ob2ob2o2b3o5bo3bo3b2o$2obo4bo3bo4b
o3bo4bo$3bo4bo3bo4bo3bo4bob2o$3b2o3bo3bo5b3o2b2ob2obo$9b3o12bo$24bo$23b
2ob2o$25bobo$25bo$24b2o!

Connection to a 4-tick push:

Code: Select all

x = 21, y = 11, rule = B3/S23
9b3o$8bo3bo3b2o$4bo3bo3bo4bo$4bo3bo3bo4bob2o$4bo4b3o2b2ob2obo$15bo$3o
12bo$14b2ob2o$16bobo$16bo$15b2o!

EDIT: a p29 traffic light hassler based on this, found by hotcrystal0:

Code: Select all

x = 30, y = 56, rule = B3/S23
14b2o$14b2o3$15b2obo$14bob3o$13b2obo$13b3o$11b3o$10bobo$10bo15bo$9b2o
8b3o3bobo$19bobo4bo$19b3o$12b2o$11bobo$11bo$10b2o9b3o$8bo2bobo7bobo4b
o$8b2o2bobo6b3o3bobo$4b2o7bo14bo$4bo$2bobo$2b2ob2o$5bo$5bo$ob2ob2o11b
3o4b2o$2obo5b3o6bobo5bo$3bo5bobo6b3o5bob2o$3b2o4b3o11b2ob2obo$24bo$24b
o$23b2ob2o$25bobo$25bo$bo14bo7b2o$obo3b3o6bobo2b2o$bo4bobo7bobo2bo$6b
3o9b2o$18bo$16bobo$16b2o$8b3o$3bo4bobo$2bobo3b3o8b2o$3bo15bo$17bobo$16b
3o$14b3o$13bob2o$11b3obo$11bob2o3$14b2o$14b2o!

[Sokwe]

a p29 traffic light hassler based on this, found by hotcrystal0:

This can be simplified by replacing the blinker-to-spark mechanism with a block and eater:

Code: Select all

x = 30, y = 46, rule = B3/S23
12bo$12b3o$15bo$14b2o2$26bo$20bo4bobo$11b2o6b2o5bo$11b2o7bo4$22bo$13bo
7b2o5bo$12bobo7bo4bobo$4b2o7bo14bo$4bo$2bobo$2b2ob2o$5bo$5bo$ob2ob2o
12bo5b2o$2obo14b3o5bo$3bo5b3o14bob2o$3b2o5bo12b2ob2obo$24bo$24bo$23b2o
b2o$25bobo$25bo$bo14bo7b2o$obo4bo7bobo$bo5b2o7bo$7bo4$9bo7b2o$3bo5b2o
6b2o$2bobo4bo$3bo2$14b2o$14bo$15b3o$17bo!

[C_R_116]

P135 HF/C:

Code: Select all

x = 55, y = 64, rule = B3/S23
7bobo2bobo$3b2obo2bo2bo2bob2o$7bobo2bobo4$7bo6bo19b2o$5bo2bo4bo2bo16bo
2bo$5bo2bo4bo2bo16bobo2bo2bo$5bo2bo4bo2bo15b2obob5o$7bo6bo17bo2bo$21b
2o3b2o5bo2b4o$20bobo3bo5bo2b2o3bo$20bo8bo3bo2b3obo$20bo3bo3bo3bo2bo3bo
$21bo5bo4b2obob2o$22bo3bo6bobobo$23b3o7bobo2bo$34bo2b2o2$4b2o$2bo4bo$b
o6bo$o8bo35bo$o8bo35bo$o8bo10b2o22bobo$bo6bo11b2o23bo$2bo4bo11bo2bo14b
3o5bo$4b2o13b2o24bo$45bo$44bobo$9bo35bo$9bo35bo$8bobo$9bo$9bo24b2o13b
2o$9bo5b3o14bo2bo11bo4bo$9bo23b2o11bo6bo$8bobo22b2o10bo8bo$9bo35bo8bo$
9bo35bo8bo$46bo6bo$47bo4bo$49b2o2$16b2o2bo$16bo2bobo7b3o$17bobobo6bo3b
o$16b2obob2o4bo5bo$15bo3bo2bo3bo3bo3bo$14bob3o2bo3bo8bo$14bo3b2o2bo5bo
3bobo$15b4o2bo5b2o3b2o$19bo2bo17bo6bo$13b5obob2o15bo2bo4bo2bo$13bo2bo
2bobo16bo2bo4bo2bo$18bo2bo16bo2bo4bo2bo$19b2o19bo6bo4$40bobo2bobo$36b
2obo2bo2bo2bob2o$40bobo2bobo!

[Bullet51]

p8:

Code: Select all

x = 13, y = 17, rule = B3/S23
4bo$4b3o$7bo$2b5o4b2o$bo5b3o2bo$2b4o3b2o$6b2o$4bo3b3o$2b4obo3bo$bo4bob
3o$o2bobo2bo$3obobo$4bob2o$2ob2obo$bobo2bobo$bo2bo2b2o$2b2o!

[Timelord Missionary]

p8:

Code: Select all

x = 13, y = 17, rule = B3/S23
4bo$4b3o$7bo$2b5o4b2o$bo5b3o2bo$2b4o3b2o$6b2o$4bo3b3o$2b4obo3bo$bo4bob
3o$o2bobo2bo$3obobo$4bob2o$2ob2obo$bobo2bobo$bo2bo2b2o$2b2o!

Reduction, tho this pattern isn't actually that notable:

Code: Select all

x = 11, y = 12, rule = B3/S23
bo2bo$b4o3b2o$5b2o2bo$3bo3b2o$b4obo$o4bob4o$obobo2bo2bo$bobobo$3bob2o
$2b2obo$o2bobobo$2o4b2o!

[KtT]

P128 fleet hassler:

Code: Select all

x = 82, y = 56, rule = B3/S23
28b3o$29bob3o$28b2o2bo2bo$28b5o3bo$29bo4b3o$34bo$29bo$28bobo30b3o$29b
o32bob3o$47b2o12b2o2bo2bo$43b2o2bo13b5o3bo$31bo10bo2bobo14bo4b3o$30bo
10bob2obo20bo$30b5o3b4o2bo17bo$37b5obo17bobo$35bo2b3o3bo17bo$31bo11b3o
34b2o$30bo2bo9b3o30b2o2bo$31b2o42bo2bobo$20b2o52bob2obo$20b2o42bo6b4o
2bo$15b3o47bo4b5obo$58bo4bobo5b3o3bo$57bobo3b2o11b3o$15bobo13bobo5b2o
16b2o2b2o13b3o$39bobo15b2ob2o$40b2o18bobo$31b3o8b2o14b3ob3o$27b2o6b2o
5bobo17bo2bo$27b2o6bobo5b2o18b2o$16b2o18b2o$3b3o9bo2bo19b2o$3b3o11bo20b
obo$4bo3b3o2bo25b2o9b2o$5bob5o37bo2bo11b3o$4bo2b4o3b5o31b3ob3o$2bob2o
bo10bo33bobo$bobo2bo10bo35b2ob2o$bo2b2o30b3o13b2o2b2o$2o34b3o11b2o3bo
bo$19bo17bo3b3o5bobo4bo$18bobo17bob5o4bo$19bo17bo2b4o6bo$14bo20bob2ob
o$12b3o4bo14bobo2bo$12bo3b5o13bo2b2o$13bo2bo2b2o12b2o$15b3obo32bo$18b
3o30bobo$52bo$47bo$45b3o4bo$45bo3b5o$46bo2bo2b2o$48b3obo$51b3o!

Edit:

Here's a true p14 gun that uses a p7 to release a glider from a p14 banana sparker by James Pascua:

Code: Select all

x = 72, y = 64, rule = B3/S23
39b2o$38bo2bob2o$37bo2b2obobo$37b2obo4bo$38bo2b2o2bob2o$36bo2bobo2b2o
2bo$35bob3obobo2bo$26bo9bo5bob2o$26b3o8b3o$4b2o23bo10b6o$4bobo4b2o3b2o
6b4o2bo4b3ob2o4bo$7bo3b2o2bobo6bo3b2o4bo3bobob2o$2o3b2obo6bobob2ob2o3b
o4bo2b4obobo$bo2bobob7obobobobo5b6obobo2bo3bo$o3bo2bo8bo3bo2bo4bo6bo2b
o2b4o$4obo2b6o2b2ob6o5b5o3b2o$5b3o4bo2b3obo4bo8bo5bob2o$2o3bobobo4bo5b
ob2o10b2obobobobo$o4bobobob10obo4bo6bo3bobo2bo$b3ob2o2bo12bo3bobo5bo3b
obobo$4bo4b4o2b2o2b2obob3obo4b5o3bo$b2obo7bo2bo4bo2bo4b2o2b5o$bobo7bo
4bo3bo3b4o2bo5bo$10bob4o2b2ob3o4b2o5bo$11bo4b2obobo3b2obobo3b2o3b2o$
12b3obo9bobo2b2obo3bo2bo$14bo2b4o4bo2bo4bo4b3o$15b2o4bo4b3ob3obo$17b5o
7bob2o3b3o$17bob4o3b2obo4b2o3bo$4b2o8b2obo5bobobob2o4bo3bo$5bo8bo2bo2b
o2bobo3bo2b2o3bob2o$5bobo7b2o2bobobo2bo2bo6b2o3bo$6b3ob2o5b5ob3o2b2obo
6b3o3b2o$8b2obo5bo4bo7b2obo4bo5bo2b2o$8b3o7b3obob6o2b2o11bobo$4b2o3bo
10bobobo9b2o8b2obo2b2o10b2o$4bo2bobo17b2obo2bobo7bo3bobobo10bobob2o$6b
2obo2bo8b3o3bo4bo2bo6b3ob2obo14bobobob2o$10b2o16bo3bo2b2ob2o23b2o3bobo
$29b2ob2o6bo5b2o4b2ob2o7bo3bo2bo$22bo9b2o3bo2bo4b3o3b6o2b2o2bo5b2o$21b
3o13bo2bo3bo13bo5b5o$11b2o7b5o12b2obo3b2o4bobo2bobo3bo6bo$11b2o6b2o3b
2o4bo7bobo3bo3bobob2obob11o$10bo8b2ob3o3bobo7bobobobobobobo14bo$9b3o8b
4o5b2o8bobob2ob2o2bobob9o$19bo2bo10bo7bo3bo4bob2o5bo2bo$34bo5b2o3bob3o
5b2o$14b3o7bo7b3o11b2o8bo$15bo7bobo28bo$13b2o9bo12bo16b2o$13b2o20bobo$
36b2o$40bo$41bo$14b2o23b3o$14bobo$15b2o27bo$42bobo$12b2o29b2o$13bo33bo
$10b3o35bo$10bo35b3o!

Now we can assembly this p14 dependent glider loop:

Code: Select all

x = 90, y = 111, rule = B3/S23
57b2o$56bo2bob2o$55bo2b2obobo$55b2obo4bo$56bo2b2o2bob2o$54bo2bobo2b2o
2bo$53bob3obobo2bo$44bo9bo5bob2o$44b3o8b3o$22b2o23bo10b6o$22bobo4b2o3b
2o6b4o2bo4b3ob2o4bo$25bo3b2o2bobo6bo3b2o4bo3bobob2o$18b2o3b2obo6bobob
2ob2o3bo4bo2b4obobo$19bo2bobob7obobobobo5b6obobo2bo3bo$18bo3bo2bo8bo3b
o2bo4bo6bo2bo2b4o$18b4obo2b6o2b2ob6o5b5o3b2o$23b3o4bo2b3obo4bo8bo5bob
2o$18b2o3bobobo4bo5bob2o10b2obobobobo$18bo4bobobob10obo4bo6bo3bobo2bo
$19b3ob2o2bo12bo3bobo5bo3bobobo$22bo4b4o2b2o2b2obob3obo4b5o3bo$19b2ob
o7bo2bo4bo2bo4b2o2b5o$19bobo7bo4bo3bo3b4o2bo5bo$28bob4o2b2ob3o4b2o5bo
$29bo4b2obobo3b2obobo3b2o3b2o$30b3obo9bobo2b2obo3bo2bo$32bo2b4o4bo2bo
4bo4b3o$33b2o4bo4b3ob3obo$35b5o7bob2o3b3o$35bob4o3b2obo4b2o3bo$22b2o8b
2obo5bobobob2o4bo3bo$23bo8bo2bo2bo2bobo3bo2b2o3bob2o$23bobo7b2o2bobob
o2bo2bo6b2o3bo$24b3ob2o5b5ob3o2b2obo6b3o3b2o$26b2obo5bo4bo7b2obo4bo5b
o2b2o$26b3o7b3obob6o2b2o11bobo$22b2o3bo10bobobo9b2o8b2obo2b2o10b2o$22b
o2bobo17b2obo2bobo7bo3bobobo10bobob2o$24b2obo2bo8b3o3bo4bo2bo6b3ob2ob
o14bobobob2o$28b2o16bo3bo2b2ob2o23b2o3bobo$47b2ob2o6bo5b2o4b2ob2o7bo3b
o2bo$40bo9b2o3bo2bo4b3o3b6o2b2o2bo5b2o$39b3o13bo2bo3bo13bo5b5o$29b2o7b
5o12b2obo3b2o4bobo2bobo3bo6bo$29b2o6b2o3b2o4bo7bobo3bo3bobob2obob11o$
28bo8b2ob3o3bobo7bobobobobobobo14bo$27b3o8b4o5b2o8bobob2ob2o2bobob9o$
37bo2bo10bo7bo3bo4bob2o5bo2bo$52bo5b2o3bob3o5b2o$32b3o7bo7b3o11b2o8bo
$33bo7bobo28bo$31b2o9bo12bo16b2o$31b2o20bobo$54b2o4$34b2o$34bobo20b2o
$16b2o16bo12bo9b2o$17bo28bobo7bo$15bo8b2o11b3o7bo7b3o$15b2o5b3obo3b2o
5bo$9bo2bo5b2obo4bo3bo7bo10bo2bo$9b9obobo2b2ob2obobo8b2o5b4o8b3o$6bo14b
obobobobobobo7bobo3b3ob2o8bo$4b11obob2obobo3bo3bobo7bo4b2o3b2o6b2o$3b
o6bo3bobo2bobo4b2o3bob2o12b5o7b2o$3b5o5bo13bo3bo2bo13b3o$b2o5bo2b2o2b
6o3b3o4bo2bo3b2o9bo$o2bo3bo7b2ob2o4b2o5bo6b2ob2o$bobo3b2o23b2ob2o2bo3b
o16b2o$2obobobo14bob2ob3o6bo2bo4bo3b3o8bo2bob2o$4b2obobo10bobobo3bo7b
obo2bob2o17bobo2bo$8b2o10b2o2bob2o8b2o9bobobo10bo3b2o$24bobo11b2o2b6o
bob3o7b3o$23b2o2bo5bo4bob2o7bo4bo5bob2o$26b2o3b3o6bob2o2b3ob5o5b2ob3o
$30bo3b2o6bo2bo2bobobo2b2o7bobo$31b2obo3b2o2bo3bobo2bo2bo2bo8bo$32bo3b
o4b2obobobo5bob2o8b2o$32bo3b2o4bob2o3b4obo$33b3o3b2obo7b5o$37bob3ob3o
4bo4b2o$31b3o4bo4bo2bo4b4o2bo$30bo2bo3bob2o2bobo9bob3o$31b2o3b2o3bobo
b2o3bobob2o4bo$36bo5b2o4b3ob2o2b4obo$35bo5bo2b4o3bo3bo4bo7bobo$35b5o2b
2o4bo2bo4bo2bo7bob2o$30bo3b5o4bob3obob2o2b2o2b4o4bo$29bobobo3bo5bobo3b
o12bo2b2ob3o$28bo2bobo3bo6bo4bob10obobobo4bo$28bobobobob2o10b2obo5bo4b
obobo3b2o$29b2obo5bo8bo4bob3o2bo4b3o$32b2o3b5o5b6ob2o2b6o2bob4o$27b4o
2bo2bo6bo4bo2bo3bo8bo2bo3bo$27bo3bo2bobob6o5bobobobob7obobo2bo$29bobo
b4o2bo4bo3b2ob2obobo6bob2o3b2o$28b2obobo3bo4b2o3bo6bobo2b2o3bo$26bo4b
2ob3o4bo2b4o6b2o3b2o4bobo$26b6o10bo23b2o$32b3o8b3o$26b2obo5bo9bo$25bo
2bobob3obo$23bo2b2o2bobo2bo$23b2obo2b2o2bo$26bo4bob2o$26bobob2o2bo$27b
2obo2bo$31b2o!

[JP21]

The B-heptomino based dependent reflectors are nice, but I'm still very curious to see a method for sub-p17 independent reflection.

Here is an idea that could maybe get us periods 15 and 16 if we are extremely lucky. Start with a particular honey farm predecessor and hit it with an eater and dot spark (some other sparks work as well). This produces a banana spark potentially capable of reflecting a glider stream at p15 or p16 (but not p14). Then use additional sparkers and/or glider streams to turn the excess junk from the reaction back into a honey farm predecessor in the right location and time.

For example, here is something that ends up putting a traffic light predecessor where the honey farm predecessor should go, giving a pattern that is "4 cells off" (although in an unsolvable way) from a p15 reflector:

Code: Select all

x = 24, y = 29, rule = B3/S23
21bo$21bobo$7bo13b2o$7b3o$b2o7bo6bobo$bobo5b2o6b2o$bo16bo$11b3o$5b2o3b
o3bo$4b2o3bo5bo$6bo3bo3bo$11b3o2$4b2o11b2o$5b2o9b2o$4bo6bo6bo$10b3o$3o
6bobobo6b3o$2bo6bobobo6bo$bo8b3o8bo$11bo3$11bo$10b3o$9bobobo$9bobobo$
10b3o$11bo!

p16n glider reflector:

Code: Select all

rle

Oh well, p15n almost works, but reflected gliders cannot escape:

Code: Select all

x = 75, y = 84, rule = B3/S23
13bo9bo$9bo3b3o5b3o$4b2o3bo6bo3bo$4bo4bo5b2o3b2o$5b2o$18bo$7b2ob2o5b3o
$7b2obobo3bo2b2o$9b3o4bo3bo30bo9bo$6b2obo7b2obo6bo23b3o5b3o$6b2ob2o8b
2o5bobo25bo3bo5b3o2b2o$7b3o17bo25b2o3b2o8bobo$6bo17b3o42bo$5bobo5b2o8b
2ob2o39b2o$6bo6bob2o7bob2o35b2ob2o$13bo3bo4b3o31bo5bo4bo$13b2o2bo3bobo
b2o28b3o5bo4bo$14b3o5b2ob2o20bo6b3o6bo3b2o$3b2o4b2o4bo30bobo15bo$2bo8b
o15b2o18bo16b2o$bo2bo4bo2bo11bo4bo20b2o16bo$2bo8bo12bo3b2o21bo15bobo$
3b2o4b2o13bo22b2o3bo6b3o6bo$47bo4bo5b3o$48bo4bo5bo$48b2ob2o$2o3bo2bo3b
2o33b2o15b2o4b2o$5o4b5o32bo16bo2bo2bo2bo$2o3bo2bo3b2o31bobo9bobo3bo2bo
2bo2bo$45b2o2b3o5b2o5bob4obo$58bo7bo2bo$54bo$38b2o4b2o7bo$38bobo2bobo
7b3o7b2o6b2o$40b4o17bo4bo2bo4bo$38bo2b2o2bo5bo9bo4bo2bo4bo$38bo2b2o2bo
3b2o10bo4bo2bo4bo$40bo2bo6b2o11b2o6b2o3$53b2ob2ob2o$53b2o4b2o$42bo10b
2ob2ob2o$41b2o4b2o$41bobo3b2o7b2o$42bo11bo4bo$53bo6bo$52bo8bo$52bo8bo$
36b3o2b2o9bo8bo$38bo14bo6bo$12bo2b2o4b2o2bo11bo7b2o7bo4bo$11bo3b3o2b3o
3bo6bo11bobo8b2o7b2o$12bo2b2o4b2o2bo7b2o10bo17bo4bo$32bobo27bo6bo$49b
2o10bo8bo$29b2o17b2o11bo8bo$15bo6bo5bobo19bo10bo8bo$14bobo4bobo6bo4b3o
2b2o20bo6bo$13b3o6b3o14bobo10b3o8bo4bo$14bobo4bobo16bo11bo12b2o$15bo6b
o3b3o9b2o8bo4bo$25bo2bo5b2ob2o4b2o3bo8bo4b2ob2ob2o$25bo3bo3bo4bo4bobo
2bo7b2o4b2o4b2o$24b2obobo4bo4bo4bobo9bobo3b2ob2ob2o$18bo5b2ob2o5bo3b2o
5b3o$17bobo5b3o7bo11bo2bo$18bo16b2o8b3obobo$21b2o16bo5bo4b2o3b2o$22bo
7b3o5bobo4b2o2b2o4b3obo6bo$18b2o3bo5b2ob2o5bo8b3o5bo2bo5bobo$18bo4bo4b
obob2o14b2o6b2o8bo$19bo4bo3bo3bo12bo8b2o6b2o$19b2ob2o5bo2bo11bobo5bo2b
o5b3o$18b2o9b3o13bo6bob3o4b2o2b2o$17bo37b2o3b2o4bo$16bobo8b2o3b2o26bob
ob3o$16b2o2b3o5bo3bo28bo2bo$25b3o5b3o28b3o$25bo9bo29bobo$51b2o3b2o5bo
2bobo$52bo3bo6bo3b2o$49b3o5b3o3bo$49bo9bo!

[iNoMed]

Here's a rather-peculiar p51 Pi hassler - partial originally found by CR116, originally completed by Sokwe using the JLS-LLS script (with a further reduction to 226 cells also by him) and reduced slightly by me to 208 cells using rlifesrc:

Code: Select all

x = 35, y = 46, rule = B3/S23
9b2o$8bo2bo2$11bo$9bobo4b2o8b2o$8bobo2b2o2bo8bobo2bo$8bo3bob2o12b4o$6b
obo9bo7bo$5bobo2b9o7bo3b4o$5bo2b2o4bo13b3o2bo$6bobo6b2o7b3obo2bo$5b2ob
o6b2o6bo2b2o3b2o$4bo3bob2o11b2o2b2o$5bobo2b2o$4b2ob2o2$33b2o$33bo$31bo
bo$19b2o10b2o$17bob2o$17bo2bo3$14bo2bo$14b2obo$2b2o10b2o$bobo$bo$2o2$
26b2ob2o$23b2o2bobo$6b2o2b2o11b2obo3bo$2b2o3b2o2bo6b2o6bob2o$3bo2bob3o
7b2o6bobo$bo2b3o13bo4b2o2bo$b4o3bo7b9o2bobo$8bo7bo9bobo$3b4o12b2obo3bo
$3bo2bobo8bo2b2o2bobo$7b2o8b2o4bobo$23bo2$23bo2bo$24b2o!

Of note is that one of the custom p3s is actually a surprisingly-versatile catalyst - Here it is as an eater 3 catalyst and as a period-3 Pi to glider:

Code: Select all

x = 32, y = 18, rule = B3/S23
11b2o$9bo2bo$8bo$2o6bo$2o6bo$9bo2bo6bo$11b2o5bobo$17bo$18bo3bo$22bob3o
$20bo8b2o$22b3obo2bo$24bobo4bo$25bo2b4o$25bo$26b4o$24bobo2bo$24b2o!

Code: Select all

x = 34, y = 30, rule = B3/S23
12b2o$12bobo$13bo$17bo$16b3o6b2o3bo$15bo2b2o4bo3b4o$15bo3bo4bobo5bo$4b
2o3bo7bobo3b2o5bo2bo$3bo3b4o10bo3b2obo$3bobo5bo2b2ob2o5b2o3b2o$2b2o5bo
2bo3bo9bob2o3bo$o3b2obo9bo3bo2bo5b2o$3b2o3b2o5b2ob2o2bo5bobo$5bob2o3bo
10b4o3bo$o2bo5b2o3bobo7bo3b2o$bo5bobo4bo3bo$2b4o3bo4b2o2bo$3bo3b2o6b3o
$16bo3$8b2o2b2o$4b2o3b2o2bo6bo$5bo2bob3o8bo$3bo2b3o10b3o$3b4o3bo$10bo
12b2o$5b4o14bobo$5bo2bobo14bo$9b2o14b2o!

[hotdogPi]

p100 pi-heptomino hassler using Charity's p25 as a sparker

Code: Select all

x = 77, y = 96, rule = B3/S23
13b3o5b3o2$9b2o15b2o2$10bob2o9b2obo$14bo7bo$11bo13bo$10bo15bo$16bo3bo$
2bo7b2o4b2ob2o4b2o7bo$2bobo2bobo3b2o2bobo2b2o3bobo2bobo$6bo2bo4b2obobo
b2o4bo2bo$4bo10bobobobo10bo$o3bo5bo5bo3bo5bo5bo3bo$o4bo4b2o13b2o4bo4bo
$o10b2o11b2o10bo$8b2o3bo9bo3b2o$9b4o11b4o2$9b4o11b4o$8b2o3bo9bo3b2o$o
10b2o11b2o10bo$o4bo4b2o13b2o4bo4bo$o3bo5bo5bo3bo5bo5bo3bo$4bo10bobobob
o10bo$6bo2bo4b2obobob2o4bo2bo$2bobo2bobo3b2o2bobo2b2o3bobo2bobo$2bo7b
2o4b2ob2o4b2o7bo$16bo3bo$10bo15bo$11bo13bo$14bo7bo$10bob2o9b2obo2$9b2o
15b2o$29b3o$13b3o5b3o4bo2bo$18bo9b2o2bo$17bobo6b2o3b2o25bo$17bobo5bo2b
o28bobo$12bob2obob2o4bo2bo28bobo$12b2obobo3bo3bo2bo27b2obob2obo$17bob
2o5b2o3b2o22bo3bobob2o$16bo3bo7b2o2bo23b2obo$16b4o8bo2bo24bo3bo$19bo9b
3o25b4o$16b4o37bo$15bo41b4o$16b4o41bo$19bo37b4o$16b4o25b3o9bo$16bo3bo
24bo2bo8b4o$17bob2o23bo2b2o7bo3bo$12b2obobo3bo22b2o3b2o5b2obo$12bob2ob
ob2o27bo2bo3bo3bobob2o$17bobo28bo2bo4b2obob2obo$17bobo28bo2bo5bobo$18b
o25b2o3b2o6bobo$44bo2b2o9bo$45bo2bo4b3o5b3o$45b3o$49b2o15b2o2$50bob2o
9b2obo$54bo7bo$51bo13bo$50bo15bo$56bo3bo$42bo7b2o4b2ob2o4b2o7bo$42bobo
2bobo3b2o2bobo2b2o3bobo2bobo$46bo2bo4b2obobob2o4bo2bo$44bo10bobobobo
10bo$40bo3bo5bo5bo3bo5bo5bo3bo$40bo4bo4b2o13b2o4bo4bo$40bo10b2o11b2o
10bo$48b2o3bo9bo3b2o$49b4o11b4o2$49b4o11b4o$48b2o3bo9bo3b2o$40bo10b2o
11b2o10bo$40bo4bo4b2o13b2o4bo4bo$40bo3bo5bo5bo3bo5bo5bo3bo$44bo10bobob
obo10bo$46bo2bo4b2obobob2o4bo2bo$42bobo2bobo3b2o2bobo2b2o3bobo2bobo$
42bo7b2o4b2ob2o4b2o7bo$56bo3bo$50bo15bo$51bo13bo$54bo7bo$50bob2o9b2obo
2$49b2o15b2o2$53b3o5b3o!

based on this partial (also mine) that doesn't work because 100 is not a multiple of 3

Code: Select all

x = 53, y = 48, rule = B3/S23
11b2o$11bo2bo$8b2obob2o$9bo2bo$9bo2bo$8b2ob2obo$7bo2b2o3b2o$7b2o2b3o$
13bo$13bobo$14b2o3$6bo$5bobo38bo$5bobo10b3o24bobo$ob2obob2o9bo26bobo$
2obobo2bo9b3o23b2obob2obo$5bob2o35bo2bobob2o$4bo39b2obo$4b3o18bo22bo$
7bo15b2o21b3o$4b4o37bo$3bo41b4o$4b4o41bo$7bo37b4o$4b3o21b2o15bo$4bo22b
o18b3o$5bob2o39bo$2obobo2bo35b2obo$ob2obob2o23b3o9bo2bobob2o$5bobo26bo
9b2obob2obo$5bobo24b3o10bobo$6bo38bobo$46bo3$37b2o$37bobo$39bo$39b3o2b
2o$36b2o3b2o2bo$38bob2ob2o$40bo2bo$40bo2bo$38b2obob2o$38bo2bo$40b2o!

[Period1GliderGun]

Alternative 42P14 stabilization using 37P7.1:

Code: Select all

x = 11, y = 36, rule = B3/S23
9bo$7b3o$6bo$6b2o2$3b2o$3bobo$4b2o4$5b2o$5b2o$4bo$3b3o3$8b3o$9bo$7b2o
$7b2o4$bo5b2o$b3o3b2o$4bo$3bo$o2b2o3bo$3o3b2obo$3b2o$2bo3b2obo$3b2obo
2bo$4bobobo$3bo2b2o$3b2o!

EDIT:

p100 pi-heptomino hassler using Charity's p25 as a sparker

Code: Select all

snip

Reduction (402 -> 256) using a variant of 36P25:

Code: Select all

x = 53, y = 66, rule = B3/S23
19b2o$18b2obo4b2o$25bobo$20bo4b2o$29b2o$21b2o6bobo$12bo3b2o2b3o8bo$11b
ob2o16b2o$12b4o2bo$15b3o$16b3o$15bo2b4o$b2o16b2obo$2bo8b3o2b2o3bo$2bo
bo6b2o$3b2o$7b2o4bo$6bobo$6b2o4bob2o$13b2o3$6bo10b3o$5bobo8bo2bo26bo$
5bobo7bo3bo25bobo$ob2obob2o6bo29bobo$2obobo4bo4bo3bo24b2obob2obo$5b3o
8bo2bo22bo4bobob2o$4bo2bo3bo5b3o25b3o$4b2o35bo3bo2bo$10bo36b2o$4b5o33b
o$3bo40b5o$4b5o40bo$10bo33b5o$4b2o36bo$4bo2bo3bo35b2o$5b3o25b3o5bo3bo
2bo$2obobo4bo22bo2bo8b3o$ob2obob2o24bo3bo4bo4bobob2o$5bobo29bo6b2obob
2obo$5bobo25bo3bo7bobo$6bo26bo2bo8bobo$33b3o10bo3$38b2o$37b2obo4b2o$44b
obo$39bo4b2o$48b2o$40b2o6bobo$31bo3b2o2b3o8bo$30bob2o16b2o$31b4o2bo$34b
3o$35b3o$34bo2b4o$20b2o16b2obo$21bo8b3o2b2o3bo$21bobo6b2o$22b2o$26b2o
4bo$25bobo$25b2o4bob2o$32b2o!

[WhiteHawk]

P45 block hassler found by accident

Code: Select all

x = 63, y = 53, rule = B3/S23
22b2o32b2o$21bo2bo19b2o9bo2bo$21b2obo20bo9bob2o$22bob2o10bo6bobob2o5b
2obo$17bo2bobo12bobo4b3obobo8bobo2bo$17b5o2b3o8bobo2bo5bo6b3o2b5o$22b
2o2bo7b2ob2o2b4obo6bo2b2o$19b3o2bo2bo6bo10bo6bo2bo2b3o$19bo2bo4bo7b3o
4b3o7bo4bo2bo$20b2o3bo2bob3o4bo4bo4b3obo2bo3b2o$29b4o5b4o5b4o$27b2o22b
2o2$35b2o6b2o$35b3o4b3o$32b2o3b2o2b2o3b2o$31bobo3b6o3bobo$28bo3b3o2b2o
2b2o2b3o3bo$27bobo20bobo$28b2o20b2o5$21bo2bo$19b3o2b3o4b2o2b2o6b2o$18b
o8bo3b2o2bo8bo$18b2o6b2o8b3o2b3o$38bo2bo3$15b3o10b3o$14bo3bo8bo3bo$13b
o5bo6bo5bo$13bo5bo6bo5bo$13bo5bo6bo5bo$14bo3bo8bo3bo$15b3o10b3o4$11b4o
7b2o7b4o$10bo4bo5b4o5bo4bo$3b2o6bo3bo4bob2obo4bo3bo6b2o$2bo2bo3b3o2bo
3b3o4b3o3bo2b3o3bo2bo$2b3o4b2o6bo3bo2bo3bo6b2o4b3o$5b2o2b2o5bob4o2b2o
b2o6b2o2b2o$4o3b3o6bo8bobo8b3o3b4o$o2bobo3bo4bobob3o4bobo8bo3bobo2bo$
5bob2o5b2obob2o5bo10b2obo$4b2obo9bo20bob2o$4bo2bo9b2o19bo2bo$5b2o32b2o
!

[Sokwe]

p100 pi-heptomino hassler... based on this partial (also mine) that doesn't work because 100 is not a multiple of 3

Code: Select all

x = 53, y = 48, rule = B3/S23
11b2o$11bo2bo$8b2obob2o$9bo2bo$9bo2bo$8b2ob2obo$7bo2b2o3b2o$7b2o2b3o$
13bo$13bobo$14b2o3$6bo$5bobo38bo$5bobo10b3o24bobo$ob2obob2o9bo26bobo$
2obobo2bo9b3o23b2obob2obo$5bob2o35bo2bobob2o$4bo39b2obo$4b3o18bo22bo$
7bo15b2o21b3o$4b4o37bo$3bo41b4o$4b4o41bo$7bo37b4o$4b3o21b2o15bo$4bo22b
o18b3o$5bob2o39bo$2obobo2bo35b2obo$ob2obob2o23b3o9bo2bobob2o$5bobo26bo
9b2obob2obo$5bobo24b3o10bobo$6bo38bobo$46bo3$37b2o$37bobo$39bo$39b3o2b
2o$36b2o3b2o2bo$38bob2ob2o$40bo2bo$40bo2bo$38b2obob2o$38bo2bo$40b2o!

There's a p4 catalyst that I found a few years ago for a p20 gun that works here:

Code: Select all

x = 53, y = 56, rule = B3/S23
16b2o$15bobo$15bo$13b2ob4o$12bobo4bo$11bo2bo2bo$11bobo$12b2ob2o$14bo$
10b3o$7bobo2bo$7b2ob2o3b2o$10bo2bob2o$5b4obo2bobo$5bo2bob2ob3o2$9b3o$
6bo$5bobo38bo$5bobo10b3o24bobo$ob2obob2o9bo26bobo$2obobo2bo9b3o23b2obo
b2obo$5bob2o35bo2bobob2o$4bo39b2obo$4b3o18bo22bo$7bo15b2o21b3o$4b4o37b
o$3bo41b4o$4b4o41bo$7bo37b4o$4b3o21b2o15bo$4bo22bo18b3o$5bob2o39bo$2ob
obo2bo35b2obo$ob2obob2o23b3o9bo2bobob2o$5bobo26bo9b2obob2obo$5bobo24b
3o10bobo$6bo38bobo$46bo$41b3o2$37b3ob2obo2bo$37bobo2bob4o$36b2obo2bo$
36b2o3b2ob2o$40bo2bobo$40b3o$38bo$36b2ob2o$39bobo$35bo2bo2bo$33bo4bobo
$33b4ob2o$37bo$35bobo$35b2o!

There may be smaller solutions.

Alternative 42P14 stabilization using 37P7.1:

Code: Select all

x = 11, y = 36, rule = B3/S23
9bo$7b3o$6bo$6b2o2$3b2o$3bobo$4b2o4$5b2o$5b2o$4bo$3b3o3$8b3o$9bo$7b2o
$7b2o4$bo5b2o$b3o3b2o$4bo$3bo$o2b2o3bo$3o3b2obo$3b2o$2bo3b2obo$3b2obo
2bo$4bobobo$3bo2b2o$3b2o!

Here's an alternate stabilization that may be known:

Code: Select all

x = 35, y = 15, rule = B3/S23
7b2o$3b2o2bo$3bobobo$5bob2o$5bo8b3o$2obobob2o4bo2bo14bo$ob2obob2o3bo2b
2o13bobo$4bo7b3o5bo9bobo$b2o10bo5b3o7b2o2b2o$bo15b2o2bo3b2obo2bobo$2bo
14bo2bo4b2obob2o2bo$b2o14b3o8bo3bobo$25b2o2bobobo$24bo2b2o3bo$24b2o!

I found them with LLS while working on a reduction to the p14 gun. The catalysts themselves were originally found by Dean Hickerson in 1998.

Now we can assembly this p14 dependent glider loop:

There's a 90-degree version. However, I'm not sure if it should really count as a proper dependent reflector.

Code: Select all

x = 72, y = 73, rule = B3/S23
39b2o$38bo2bob2o$37bo2b2obobo$37b2obo4bo$38bo2b2o2bob2o$36bo2bobo2b2o
2bo$35bob3obo4bo$26bo9bo4bob3o$26b3o8b3o$4b2o23bo10b6o$4bobo4b2o3b2o6b
4o2bo4b3o2bo4bo$7bo3b2o2bobo6bo3b2o4bo3bo2b3o$2o3b2obo6bobob2ob2o3bo4b
o2bob2obobo$bo2bo3b7obobobobo5b6obo3b2o3bo$o3bobo9bo3bo2bo11bo2bo2b4o$
4obo2b7ob2o2b4o5b6o3b2o$3bo2b2obo2bo3bo2bo4bo8bo5bob2o$5o2bob2o9bob2o
7bo3bo3bobobo$o2bobobobob10obo4bo7b4obo2bo$b3ob2o2bo12bo3bobo5bobobobo
bo$4bo4b4o2b2o2b2obob3obo6bo5bo$b2obo7bo2bo4bo2bo4bobob2o2bo$bobo7bo4b
o3bo3b4o5bo2bo$12b4o2b2ob3o4b2ob5o$16b2obobo3b2obob3obo5b2o$14b2o3bo6b
obo9bo2bo$13bo2b5o4bo2bo4b2o3b3o$14bobo9b3obobo$13b2o2b5o7bobobo2b3o$
12bo2bobo4bo3b2obo5bo3bo$12bob2obo5bobobobo5bobobo$11b2o4bobobobobo3bo
3b3o3b2o$8b2o3b4o2bo3bo2bo2bobob2ob2o3bo$8bob2o5b2ob2ob3o2b2obobo4b3o
3b2o$10bob4obo3b2o7bob2o4bo5bo2b2o$8bo3bo2bo2b3o3b6o3bobo9bobo$7bob3o
4b2o2bobobo9bo9b2obo2b2o10b2o$7bo9bo3b3o3b2obobobo8bo3bobobo10bobob2o$
8bob2o4bo5bo4bob3o4bo6bo3bobo14bobobob2o$6bobob2o4b2o10b4o4bo2bo3bo3bo
b2o12bo2bobobo$6b2o24bo3bob2o9b2o4bo4bobo2b4o2bo$12bo19b2o4b2o5b2ob2ob
6o2bo5b2o2b2o$11bobo7b2o5bo10bo5bo2b2o2bo6bo3b2o2b2o$14bo5bo5bobo8b2ob
o4b4obob2obobo10bo$9b2o3bo8bo3b2o9bobo4bo2bobo2b3ob11o$8b2o5bo15bo6bob
obobobobobo14bo$7b2o2bo9b2o9bo6bobob2ob2o2bobob7obo$8b2ob3ob2o6bo6b3o
8bo3bo4bob2o5bob2o$9b2ob3ob2o22b2o3bob3o5b2o$14bo2b2o5bo10bo10b2o8bo$
10bo5b2o5bobo7bobo18bo$11bo3b2o7bo9b2o18b2o$11bo26bo$12bobo24bo$13bo
23b3o2$14b2o26bo$15b2o23bobo$14bo26b2o$11bo33bo$11b2o33bo$10bobo31b3o
2$7b2o40bo$8b2o37bobo$7bo40b2o$4bo47bo$4b2o47bo$3bobo45b3o2$2o$b2o$o!