Oscillator Discussion Thread

[hotdogPi]

Here's are two complete (and unrelated) p16s:

Code: Select all

x = 104, y = 36, rule = B3/S23
49bo3bo$48bobobobo$49b2ob2o3$45b2o9b2o15b2o13b2o$45bob4ob4obo11b2obo2b
o3b2ob2o3bo2bob2o$46bo3bobo3bo13bob3obo2b2ob2o2bob3obo$46bo3bobo3bo10b
3o6bo9bo6b3o$47b3o3b3o11bo2b3ob2ob9ob6o2bo$62bo7bo2bobobo7bo7bo$14b2o
13b2o30bo9bo2b3o3b3o4b3o2b2o8bo$10b2obo2bo3b2ob2o3bo2bob2o25bo10bo2bo
3bo3bo5b4o6b2o3bo$11bob3obo2b2ob2o2bob3obo27bo5bo2b5o6bo11bo5bo3bo$8b
3o6bo9bo6b3o14b3o8b4o3bobobo3bo3bo11b2ob2obo3bo$8bo2b6ob9ob2ob3o2bo14b
obo8b4o3bobobo3bo3bo11b2ob2obo3bo$10bo7bo7bobobo2bo7bo9bobo7bo5bo2b5o
6bo11bo5bo3bo$bo8b2o2b3o4b3o3b3o2bo9bo17bo10bo2bo3bo3bo5b4o6b2o3bo$o3b
2o6b4o5bo3bo3bo2bo10bo17bo9bo2b3o3b3o4b3o2b2o8bo$o3bo5bo11bo6b5o2bo5bo
7bobo9bo7bo2bobobo7bo7bo$o3bob2ob2o11bo3bo3bobobo3b4o8bobo14bo2b3ob2ob
9ob6o2bo$o3bob2ob2o11bo3bo3bobobo3b4o8b3o14b3o6bo9bo6b3o$o3bo5bo11bo6b
5o2bo5bo27bob3obo2b2ob2o2bob3obo$o3b2o6b4o5bo3bo3bo2bo10bo25b2obo2bo3b
2ob2o3bo2bob2o$bo8b2o2b3o4b3o3b3o2bo9bo30b2o13b2o$10bo7bo7bobobo2bo7bo
$8bo2b6ob9ob2ob3o2bo11b3o3b3o$8b3o6bo9bo6b3o10bo3bobo3bo$11bob3obo2b2o
b2o2bob3obo13bo3bobo3bo$10b2obo2bo3b2ob2o3bo2bob2o11bob4ob4obo$14b2o
13b2o15b2o9b2o3$50b2ob2o$49bobobobo$50bo3bo!

Code: Select all

x = 51, y = 49, rule = B3/S23
28b2o$28b2o2$26b4o$22b2o2bo2bo2b2o$3b2o3b2o12bobobo2bobobo$2bo2bo2b2o
14bob3o2bo$2bo10b6o4b2obo2bo2bo$2bo2bo6bo2bo3bo7bob2obo$2b2ob2o6bo5bo
7bo2b2o$2bo2bo3b2o3b3obo9b3o$2bobo4b2o4bo11bob2o$3bo24bo$18b2o3bobo5bo
$5b2o6b2o3b2o2bob2o2bobob2o$2o3b2o6b2o7bo3bo2bob3o$2o$16bo6b3o$4bo4b2o
4bobo$bob3o3b2o3bo2bo$o5bo6b2ob2o$o3bo2bo6bo2bo5bo$b6o10bo4b2o$10b2o2b
o2bo3bo3bobo$10b2o3b2o5b2o3b2o5b2o3b2o$23bobo3bo3bo2bo2b2o$27b2o4bo10b
6o$27bo5bo2bo6bo2bo3bo$33b2ob2o6bo5bo$33bo2bo3b2o3b3obo$33bobo4b2o4bo$
25b3o6bo$49b2o$17b3obo2bo3bo7b2o6b2o3b2o$17b2obobo2b2obo2b2o3b2o6b2o$
19bo5bobo3b2o$22bo24bo$20b2obo11bo4b2o4bobo$20b3o9bob3o3b2o3bo2bo$19b
2o2bo7bo5bo6b2ob2o$18bob2obo7bo3bo2bo6bo2bo$18bo2bo2bob2o4b6o10bo$19bo
2b3obo14b2o2bo2bo$17bobobo2bobobo12b2o3b2o$17b2o2bo2bo2b2o$21b4o2$21b
2o$21b2o!

[MathAndCode]

p45; the blocks are to suppress other blocks; move the catalyst and you'll have more room, or you can try to squeeze a p5 in there.

Code: Select all

x = 22, y = 37, rule = B3/S23
7b6o$6bo6bo$5bo8bo$6bo6bo$7b6o5$8b2o$4bob2obo$6b2o$6b2obo$2o6b2o$2o8$
20b2o$12b2o6b2o$12bob2o$14b2o$12bob2obo$12b2o5$9b6o$8bo6bo$7bo8bo$8bo
6bo$9b6o!

Here are two ways to get more room:

Code: Select all

x = 44, y = 37, rule = B3/S23
17b6o$16bo6bo$15bo8bo$16bo6bo$17b6o5$18b2o$14bob2obo$16b2o$16b2obo$18b
2o3$30bo2bo4bo2bo$28b3o2b6o2b3o$o2bob2obo2bo18bo2bo4bo2bo$4ob2ob4o$o2b
ob2obo2bo3$22b2o$22bob2o$24b2o$22bob2obo$22b2o5$19b6o$18bo6bo$17bo8bo
$18bo6bo$19b6o!

[praosylen]

p45; the blocks are to suppress other blocks; move the catalyst and you'll have more room, or you can try to squeeze a p5 in there.

Code: Select all

x = 22, y = 37, rule = B3/S23
7b6o$6bo6bo$5bo8bo$6bo6bo$7b6o5$8b2o$4bob2obo$6b2o$6b2obo$2o6b2o$2o8$
20b2o$12b2o6b2o$12bob2o$14b2o$12bob2obo$12b2o5$9b6o$8bo6bo$7bo8bo$8bo
6bo$9b6o!

Here are two ways to get more room:

Code: Select all

x = 44, y = 37, rule = B3/S23
17b6o$16bo6bo$15bo8bo$16bo6bo$17b6o5$18b2o$14bob2obo$16b2o$16b2obo$18b
2o3$30bo2bo4bo2bo$28b3o2b6o2b3o$o2bob2obo2bo18bo2bo4bo2bo$4ob2ob4o$o2b
ob2obo2bo3$22b2o$22bob2o$24b2o$22bob2obo$22b2o5$19b6o$18bo6bo$17bo8bo
$18bo6bo$19b6o!

In fact, it's enough room to fit pentadecathlons there to complete the oscillator:

Code: Select all

x = 44, y = 35, rule = B3/S23
18bo4bo$16b2ob4ob2o$18bo4bo6$b2o3bo2bo3b2o4b2o$b5o4b5o3bobo$b2o3bo2bo
3b2o3bo$18bobo$19b2o2$32b2o6b2o$31bo2bo4bo2bo$2b2o6b2o18b6o2b6o$o4bo2b
o4bo17bo2bo4bo2bo$o4bo2bo4bo18b2o6b2o$o4bo2bo4bo$2b2o6b2o2$23b2o$23bo
bo$25bo3b2o3bo2bo3b2o$23bobo3b5o4b5o$23b2o4b2o3bo2bo3b2o6$20bo4bo$18b
2ob4ob2o$20bo4bo!

[JP21]

A slightly smaller version and a monomer version of the p45:

Code: Select all

x = 77, y = 35, rule = B3/S23
16bobo2bobo$12b2obo2bo2bo2bob2o$16bobo2bobo5$56b6o$bo2bob2obo2bo5b2o
35bo6bo$2o2bo4bo2b2o4b2o34bo8bo$bo2bob2obo2bo4bo37bo6bo$18b2o36b6o$18b
2o12bo$31bobo33bo6bo$31bobo32b2o6b2o$6b2o22b2ob2o18b2o10b3o6b3o$6bobob
o23bo18bobo10b2o6b2o$8bob2o18b2obo20bo12bo6bo$7bo23bobobo$7b2ob2o22b2o
$8bobo$8bobo$9bo12b2o33b2o$22b2o33b2o$24bo4bo2bob2obo2bo18bo4bo2bob2ob
o2bo$22b2o4b2o2bo4bo2b2o15b2o4b2o2bo4bo2b2o$22b2o5bo2bob2obo2bo16b2o5b
o2bob2obo2bo6$18bobo2bobo27bobo2bobo$14b2obo2bo2bo2bob2o19b2obo2bo2bo
2bob2o$18bobo2bobo27bobo2bobo!

Edit: Slightly better:

Code: Select all

x = 28, y = 27, rule = B3/S23
6bo4bo$4b2ob4ob2o$6bo4bo2$20b2o$18bo4bo$17bo6bo$3b2o11bo8bo$3bobo10bo
8bo$4bo11bo8bo$17bo6bo$18bo4bo$20b2o3$6b3o$9bo4bo2bo4bo2bo$6b3o3b3o2b
6o2b3o$14bo2bo4bo2bo6$2o3bo2bo3b2o$5o4b5o$2o3bo2bo3b2o!

[hotdogPi]

A whole bunch more partials:
p64, and probably one of the easier ones. Rich's p16 doesn't get destroyed by the active region, but it does interfere with 68P16.

Code: Select all

x = 71, y = 40, rule = B3/S23
3b2o3b2o$3b2o3b2o$3b2o8b2o$3b3o6bo2b5o$3bobo7bo2b4o$2bo2bo3b2o3b3o$2bo
bo4b2o$3bo$18b2o5bo$5b2o6b2o3b2o$2o3b2o6b2o9b3o$2o22b4o$16bo8b4o$9b2o
4bobo10b2o$3b3o3b2o3bo2bo9b2o$4o2bo7bobo7b4o$5o2bo6b3o7b3o22b2o$5b2o8b
2o8bo23b2o$10b2o3b2o$10b2o3b2o$54b2o3b2o$54b2o3b2o$20b2o23bo8b2o8b2o$
20b2o22b3o7b3o6bo2b5o$43b4o7bobo7bo2b4o$42b2o9bo2bo3b2o3b3o$41b2o10bob
o4b2o$42b4o8bo$43b4o22b2o$44b3o9b2o6b2o3b2o$51b2o3b2o6b2o$45bo5b2o$67b
o$60b2o4bobo$54b3o3b2o3bo2bo$51b4o2bo7bobo$51b5o2bo6b3o$56b2o8b2o$61b
2o3b2o$61b2o3b2o!

Managed to complete this one myself:

Code: Select all

x = 71, y = 60, rule = B3/S23
29b2o$29b2o2$27b4o$23b2o2bo2bo2b2o$23bobobo2bobobo$25bobob2obo$24b2obo
2bob2o$26b3o$28bo$3b2o3b2o17b3o$2bo2bo2b2o18bo2bo$2bo10b6o10bo$2bo2bo
6bo2bo3bo4bob2o4b2o$2b2ob2o6bo5bo3bo3bobo4bo$2bo2bo3b2o3b3obo4bo6bobob
o$2bobo4b2o4bo8bobo4b3o$3bo$18b2o$5b2o6b2o3b2o$2o3b2o6b2o$2o$16bo$4bo
4b2o4bobo$bob3o3b2o3bo2bo$o5bo6b2ob2o10b2ob2o$o3bo2bo6bo2bo10bo3bo16b
2o$b6o10bo11b3o17b2o$10b2o2bo2bo$10b2o3b2o$54b2o3b2o$53bo2bo2b2o$20b2o
17b3o11bo10b6o$20b2o16bo3bo10bo2bo6bo2bo3bo$38b2ob2o10b2ob2o6bo5bo$53b
o2bo3b2o3b3obo$53bobo4b2o4bo$54bo$69b2o$56b2o6b2o3b2o$51b2o3b2o6b2o$
51b2o$67bo$37b3o4bobo8bo4b2o4bobo$36bobobo6bo4bob3o3b2o3bo2bo$36bo4bob
o3bo3bo5bo6b2ob2o$37b2o4b2obo4bo3bo2bo6bo2bo$41bo10b6o10bo$39bo2bo18b
2o2bo2bo$41b3o17b2o3b2o$42bo$42b3o$37b2obo2bob2o$38bob2obobo$36bobobo
2bobobo$36b2o2bo2bo2b2o$40b4o2$40b2o$40b2o!

[wwei47]

Cross-posted from the Discord, by HotdogPi (Blinker rephaser):

Code: Select all

x = 76, y = 121, rule = B3/S23
10b3o20b3o28b3o3$2b2o2b6o2b2o13b6o25b6o$2bo2bo6bo2bo12bo6bo23bo6bo$3b
3o6b3o42b2o8b2o$27bo8bo20b2o8b2o$3b4o4b4o14b6o19bob2o4b2o4b2obo$2bo12b
o9b3o8b3o14bob2obob2o2b2obob2obo$3b12o9bo3bobo2bobo3bo13bo5b2o4b2o5bo$
7bo2bo13b2o5b2o5b2o11b2o2b3obob4obob3o2b2o$5b2o4b2o13bo10bo12bo2b2o2bo
bob4obobo2b2o2bo$4bo8bo8b5o10b5o9b2o2b3o3b4o3b3o2b2o$4b2o6b2o8bo4bo2bo
2bo2bo4bo11bobob3o6b3obobo$23b2obo2b2o2b2o2bob2o12bobo14bobo$7bo2bo9b
3o18b3o10bob4o6b4obo$7bo2bo9bo2b3o4b4o4b3o2bo12bo3bo4bo3bo$6bo4bo10bo
2bo3b2o2b2o3bo2bo14bo2bob4obo2bo$3bobobo2bobobo8bo16bo11bobobobo3b2o3b
obobobo$b3obobo2bobob3o3b3o5b2ob2ob2o5b3o8b2obob2o8b2obob2o$o3b2ob4ob
2o3bo2bo6bo8bo6bo11bob2o2bo2bo2b2obo$b2o3bo4bo3b2o8bob4o2b4obo13b4o5b
4o5b4o$3b2o2bo2bo2b2o9bo4bo4bo4bo11bo4bo3b2o2b2o3bo4bo$3bob2o4b2obo9bo
b4ob2ob4obo12b3o2bo10bo2b3o$22b3obo4b2o4bob3o12bobobo8bobobo$21bo5bobo
b2obobo5bo12b5o6b5o$22bob2obobob2obobob2obo14b2o3bo2bo3b2o$23b2o2bo3b
2o3bo2b2o10b2o2bo4b6o4bo2b2o$26bob2ob2ob2obo13bo2bo4bo6bo4bo2bo$23b2ob
o2bo4bo2bob2o11bobob2o2b6o2b2obobo$22bo2bob3o4b3obo2bo11bo2bob2o6b2obo
2bo$22b2obobobo4bobobob2o12b2o3bob4obo3b2o$25bobo2b4o2bobo17b4obo2bob
4o$25bob2o2b2o2b2obo17bo3bo4bo3bo$23b2o2b2obo2bob2o2b2o18bo6bo$24bob3o
2b2o2b3obo19b2o4b2o$24bo2bo2b4o2bo2bo$21b2obo4bo4bo4bob2o$22bobobob2o
4b2obobobo$22bobo14bobo$23bobobo2bo2bo2bobobo$25bobo2bo2bo2bobo$25bo3b
ob2obo3bo$24b2ob3o4b3ob2o$23bo2bobobo2bobobo2bo$23b4ob3o2b3ob4o$26bo
10bo$23b2o3b3o2b3o3b2o$23bo3bo8bo3bo$21bobo16bobo$21b2o4b2o6b2o4b2o$
29bo4bo$29b6o$24b2o3bob2obo3b2o$24bo2bo8bo2bo$25b3obo4bob3o$22b3o14b3o
$21bo2bob4ob2ob4obo2bo$21b2obobo2b2o2b2o2bobob2o$24bo4bo4bo4bo$24bo5bo
2bo5bo$21b2obob2obo4bob2obob2o$21b2obobo4b2o4bobob2o$24bobo10bobo$24bo
14bo$25bo2b8o2bo$22b3o2bo8bo2b3o$22bo2b4o6b4o2bo$23b2o4bob2obo4b2o$25b
3o8b3o$25bo3b6o3bo$26bob2ob2ob2obo$23b3o2bo6bo2b3o$23bo2b2o2b4o2b2o2bo
$26bo3bo2bo3bo$27b2ob4ob2o$30bo2bo$25b4o2b2o2b4o$24bo3bo6bo3bo$24b2ob
2o6b2ob2o3$27b2o6b2o$28bobo2bobo$29bo4bo$29bo4bo$27b3o4b3o$26bobo6bobo
$26bo10bo$24bobobobo2bobobobo$23bobobob6obobobo$24bo2bo8bo2bo$25b2obob
o2bobob2o$26bobo6bobo$25bo12bo$25b4o6b4o$28b8o$23b4o3bo2bo3b4o$23bo2bo
b2o4b2obo2bo$27b2o6b2o$30bo2bo$29b6o2$29b6o$30bo2bo$27b2o6b2o$23bo2bob
2o4b2obo2bo$23b4o3bo2bo3b4o$28b8o$25b4o6b4o$25bo12bo$26bobo6bobo$25b2o
bobo2bobob2o$27bo8bo$27bob6obo$28bo6bo$30bo2bo$28bob4obo$27bobo4bobo$
27bo2bo2bo2bo$28b2o4b2o!

[Entity Valkyrie 2]

Cross-posting from Gun Discussion Thread, 5blink can reduce the population of this P45 glider shuttle:

Code: Select all

x = 64, y = 71, rule = B3/S23
52bobo2bobo$48b2obo2bo2bo2bob2o$52bobo2bobo6$37bo2bob2obo2bo5b2o$36b2o
2bo4bo2b2o4b2o$37bo2bob2obo2bo4bo$54b2o$54b2o4$61bo$60bobo$61bo$56bobo
$59bo$58bob2o$47bo7bo2b2o2bo$47bobo5bob3obo$37b3o7b2o7bo$39bo19bobo$
38bo23bo$59bobobo$57b3o2b2o5$37bo$35b2o$26b2o8b2o$27b2o$26bo5$2o2b3o$o
bobo$bo23bo$2bobo19bo$7bo7b2o7b3o$2bob3obo5bobo$bo2b2o2bo7bo$2b2obo$4b
o$5bobo$2bo$bobo$2bo4$8b2o$8b2o$10bo4bo2bob2obo2bo$8b2o4b2o2bo4bo2b2o$
8b2o5bo2bob2obo2bo6$4bobo2bobo$2obo2bo2bo2bob2o$4bobo2bobo!

[mniemiec]

Cross-posting from Gun Discussion Thread, 5blink can reduce the population of this P45 glider shuttle: ...

Not directly related, but given the large number of amazing syntheses that people have recently been creating for small period 3 oscillators, 5blink looks like it might be within the realm of current synthesis technology.

[Kazyan]

A few 22-bit p3s that don't seem to be documented:

Code: Select all

x = 15, y = 26, rule = B3/S23
b2o$o3bo3bo$bo2bobo3b4o$2bobobo3bo$3bo2bo$6bobo$7b2o4$9b2o$8b3o$2o3bo
5bo$o2bobobo2bo$bo3bobo$3b2o4b3o5$2o8b2o$bo10bo$bobo3b2obobo$2bobo2bo
3bo$5bo6b3o$5bo8bo!

The first two are from wwei; the third is from me.

[Scorbie]

Update for the p3 domino almost-fountain by JP21
https://www.conwaylife.com/forums/viewt ... 86#p135186

Edit: @EV2 yes, I must have been out of my mind, I was trying to say dot almost-fountain

[Entity Valkyrie 2]

Update for the p3 domino almost-fountain by JP21
https://www.conwaylife.com/forums/viewt ... 86#p135186

Did you mean "dot fountain"?

Code: Select all

x = 65, y = 23, rule = B3/S23
27bo2$14bob2o5b3o3b2obo5bo3b2ob2o12bo2bo$4b2o8b2o2bo2bobo2b3o3bobo2bo
bo3bobobo4b2o3b6o$2obo2bo5b2o3bo3bo3b3o2bo6bob4o2bobo3bo2bobo$bobobo2b
2obo3b2ob4o4b2obob4o3bo6bobob3o2bobob3o$bo2bob2obob4obo9bo3b2obobob2o
2bo3bo4bobobob3o2bob2o$2bobo2bo7bobo2bob4o8bo4b2o2bo3b2obo4bo2b4obo$b
2ob2o3b3obo2bo3bo3b2ob4o2bobo3b2o5bo7b2obo6bo$o2bo4bo4bob2ob2o6bobob2o
2bobo6b2ob5o4bo2b2ob3o$2o2b2o3bo6bobo2b2o4bo3b2obobobo2b3obo2bo2bob5o
bo$bobo2b3o2b4obobobob5o4b2o2b3obo5bobob2o2bob2o2bo2b2o$bo2bo4b2o3bob
ob2obo13bo4bob2o4bobobo6bobo2bo$2b2o4bo2bo4bo2bob4o5bobo2bob2obobo4bo
bo2b6o4b2o$9b2o5b5o3bo5b2o4b2obo3b3o4bo7b4o$21b3o9bo5bob2o2b4ob2ob2ob
2obobo$18b2obo8b2obob4obo2bo4bobo3bobo3bo$18bobo10bobo2bobobo2bobobo2b
o3bobo4b3o$31bo2bobobob2obob2o3b2o3bo7bo$32bobob4o2bo$33bobo5bo$35bob
4o$35b2obo!

[bibunsekibun]

P22+ Partial

Code: Select all

x = 28, y = 10, rule = B3/S23
5b2o$20bo$2o4bo$5bobo13b2o$bo3bobo12b3o$obo3bo18b3o$obo22b2o$bo4b2o$
27bo$b2o!

[Sokwe]

unrelated p126; both sparkers already work, but it leaves four beehives that need to be deleted

Solved two of the beehives using an uncommon catalyst, but the other two I'm not very optimistic about (they would most likely require flipping the p21s, which doesn't seem easy to do and would get in the way of the catalyst anyway)

It's a very tight fit, but it's possible to delete the other two beehives with the p7 double thumb:

Code: Select all

x = 63, y = 66, rule = B3/S23
32b2o$28b2obobo$29bobo$29bo2bo$28b2obobob2ob2o$27bo3b2o3bobo$28b3o5bob
o$31b5obo8b2o$28b2obo2bo11bo$27bobob2o2b5o7bo$27bo3bo3bo4bo3b3obo$28b
3ob2obob3o4bo3bo$30bo6bo6b4ob2o$21b2o21bo2bobo$15b2o4bo9bo4bo9bo2bo$
15bo2b2obo11b2o11bobo$16bobobo25bobobo$15b2o29bo2bobo$2b2o9bo2bo27bo2b
obobo$2bobo8b2o29b4obob2o$4bo39bo4bo$4b2o38b5ob3o$49bo2bo3bo$2b4o40b2o
2bo4bobo$2bo2bo3bo36bob2o4bo3bo$3bo4bobo43bo3bo$3o4bo3bo42bo3bo$o6bo3b
o43bobo$7bo3bo44bo$8bobo$9bo25bo25bo$34bobo11bo11bobo$14bo10bo2bo4bo2b
o10bobo11bo$bo11bobo10bo2bo4bo2bo10bo$obo11bo11bobo$bo25bo25bo$52bobo$
6bo44bo3bo$5bobo43bo3bo6bo$4bo3bo42bo3bo4b3o$4bo3bo43bobo4bo$4bo3bo4b
2obo36bo3bo2bo$5bobo4bo2b2o40b4o$6bo3bo2bo$10b3ob5o38b2o$13bo4bo39bo$
10b2obob4o29b2o8bobo$11bobobo2bo27bo2bo9b2o$11bobo2bo29b2o$12bobobo25b
obobo$14bobo11b2o11bob2o2bo$13bo2bo9bo4bo9bo4b2o$13bobo2bo21b2o$12b2ob
4o6bo6bo$14bo3bo4b3obob2ob3o$14bob3o3bo4bo3bo3bo$15bo7b5o2b2obobo$16bo
11bo2bob2o$15b2o8bob5o$24bobo5b3o$24bobo3b2o3bo$23b2ob2obobob2o$30bo2b
o$31bobo$29bobob2o$29b2o!

[hotdogPi]

I've modified my program again despite not being done with the previous search. Here's a complete p18 sparker (!).

Code: Select all

x = 28, y = 25, rule = B3/S23
19b2o$19bobo$21bo$17b4ob2o2b2o$17bo2bobobo2bo$15b2o4b2ob2o$14bo2b4obob
o$13bob2o2bob2obo$13bo4bo4bo$14b3o3b3o$16bobobo$5bo3b2o6b3o$bo2bobobo
2bo$b4obob2obo$6bo4b2o$b3obob2obo2bo$o4bobobo2b3o4b3o$2o2b2obo4b3o4bob
o$5b3o4b3o3bo2bo$4bo4b2ob3o3bobo$4b2obobo3bo4b3o$7bobob2o$4b3o2bo2bobo
$4bo4b2o2b2o$18b2o!

[praosylen]

I've modified my program again despite not being done with the previous search. Here's a complete p18 sparker (!).

Code: Select all

x = 28, y = 25, rule = B3/S23
19b2o$19bobo$21bo$17b4ob2o2b2o$17bo2bobobo2bo$15b2o4b2ob2o$14bo2b4obob
o$13bob2o2bob2obo$13bo4bo4bo$14b3o3b3o$16bobobo$5bo3b2o6b3o$bo2bobobo
2bo$b4obob2obo$6bo4b2o$b3obob2obo2bo$o4bobobo2b3o4b3o$2o2b2obo4b3o4bob
o$5b3o4b3o3bo2bo$4bo4b2ob3o3bobo$4b2obobo3bo4b3o$7bobob2o$4b3o2bo2bobo
$4bo4b2o2b2o$18b2o!

P24 using a rephasing reaction Ampere found on Discord:

Code: Select all

x = 28, y = 27, rule = B3/S23
19b2o$19bobo$21bo$17b4ob2o2b2o$17bo2bo3bo2bo$15b2o5bob2o$14bo2b3o4bo$
13bob2o4b2obo$13bo3bobo3bo$14b3o3b3o$16bobobo$5bo3b2o6b3o$bo2bobobo2b
o6bo$b4obob2obo$6bo4b2o$b2ob2ob4o3bo$o2bobobobobo8bo$2o2bo2bo3bo3bo3b
obo$7b2o6bo$4bo2bob3o6bobo$4b3o2bo4bo4bo$7bobob2o$4b3o2bo2bobo$4bo4b2o
2b2o2$18b2o$18b2o!

Also, the spark is complex enough that trying to find a gun using two copies of this, or possibly other known sparkers of compatible periods, might actually be worthwhile. A single dot spark can transform the spark into a glider but not at p18 since there's no room to fit it behind the previous glider. Some cursory manual testing didn't find anything but I barely scratched the surface of the possibilities available...

[hotdogPi]

p20

Code: Select all

x = 17, y = 23, rule = B3/S23
5b2o4b2o$5bobo2bobo$7bo2bo$6bo4bo$6b6o$7b4o$2o$bo$bobo$2b2o4b2o$7bobo$
6b2o$7b2o$13b2o$13bobo$15bo$15b2o$6b4o$5b6o$5bo4bo$6bo2bo$4bobo2bobo$
4b2o4b2o!

[MathAndCode]

A single dot spark can transform the spark into a glider

This works in at least two ways (or is that what you meant?).

Code: Select all

x = 75, y = 32, rule = B3/S23
19b2o45b2o$19bobo44bobo$21bo46bo$17b4ob2o2b2o36b4ob2o2b2o$17bo4bobo2b
o36bo2bobobo2bo$15b2o2bo2bob2o36b2o4b2ob2o$14bo2b2o3bobo36bo2b4obobo$
13bob2o2bob2obo35bob2o2bob2obo$13bo4bo4bo36bo4bo4bo$14b3obob3o38b3o3b
3o$16b5o42bobobo$5bo3b2o41bo3b2o6b3o$bo2bobobo2bo36bo2bobobo2bo$b4obo
b2obo5bo30b4obob2obo$6bo2bob2o3bo2bo33bo4b2o4b2o$b5ob2obo2bo4bo29b3ob
ob2obo2bo$o2bobobo2bo2bo7b2o24bo4bobobo2b3o5b3o$2o2bo2bo5bo6b2obo23b2o
2b2obo4b3o8bo$6b2obo3bo5bob2o29b3o4b3o4bo$4bo2bobo3bo5b3o29bo4b2ob3o4b
o$4b4obo3bo6b2o29b2obobo3bo4bo$7bobob2o5b3o33bobob2o5bo$4b3o2bo2bobo2b
o2bo30b3o2bo2bobo2bo2b2o$4bo4b2o2b2o3bobo30bo4b2o2b2o3bobo$19bo46bo6$
11bob9obo36bob9obo$11bo11bo36bo11bo!

[Sokwe]

Here's a complete p18 sparker

It can reflect a glider 180 degrees, giving a period 18 + 72n glider shuttle:

Code: Select all

x = 55, y = 33, rule = B3/S23
37b2o$37bobob2o$39bobo$38b2obo$31b2ob2obobob2o$32bobo3b2o3bo$32bobobo
3b3o$33b7o$41b2o$7b2o7b2o13b6ob2obobo6b2o$6bo2bo9b2o9bo4bobo5bo7bo$5bo
bobo4b2obo13b3o2bobob3o6bo$5bobob2o8bob2o10b2o4b2o6b4o$3b2obo3bo3b2o2b
o2b2o23bo4bo$3bo2bob3o4bobo3b2o22bob2ob2o$2obobobo2bo5b3obo6b2o16bo2bo
3b2o$o2bo5b2o17b2o14b2obo2b2o2bo$b2o4bobo17bo3bo10bo4bobobob2o$3b5obo
21bo3bo6bob2o2bo2bo$3bo4bo6b6o9bo4b2o5bo3bobob2o$4b4o6bo6bo8bo3bob2o6b
2obobo$5bo6b3o6b3o7b2o3bo2bo5bobobo$3bo7bo3b2o7bo12bobo5bo2bo$3b2o6bob
2o3b6o22b2o$12b2obo$15b7o$12b3o3bobobo$11bo3b2o3bobo$12b2obobob2ob2o$
13bob2o$13bobo$12b2obobo$16b2o!

It can also reflect a glider 90 degrees, but not fast enough to work at period 18:

Code: Select all

x = 81, y = 24, rule = B3/S23
13b2o48b2o$13bobob2o44bobob2o$15bobo47bobo$14bo2bo46bo2bo$7b2ob2obobob
2o38b2ob2obobob2o$8bobo3b2o3bo38bobo3b2o3bo$8bobo5b3o39bobo5b3o$9bob5o
43bob5o$12bo2bob2o43bo2bob2o$7b5o2b2obobo6b2o29b5o2b2obobo6b2o$6bo4bo
3bo3bo7bo28bo4bo3bo3bo7bo$7b3obob2ob3o6bo31b3obob2ob3o6bo$9bo6bo6b4o
32bo6bo6b4o$22bo4bo44bo4bo$bo8bo4bo5bobobobo32bo4bo5bobobobo$2bo9b2o7b
obo4b2o32b2o7bobo4b2o$3o17b2o4b2o2bo39b2o4b2o2bo$11bo7bo2bobo2bob2o30b
o7bo2bobo2bob2o$10b4o4b3o3bo2bo32b4o4b3o3bo2bo$9bo3b2o4bo2bobob2o31bo
3b2o4bo2bobob2o$10b2o3bo4b2obobo34b2o3bo4b2obobo$11b4o6bobobo22b3o10b
4o6bobobo$13bo7bo2bo25bo12bo7bo2bo$22b2o25bo22b2o!

Edit: an alternate 180-degree reflection by EvinZL on Discord:

Code: Select all

x = 38, y = 30, rule = B3/S23
20b2o$20bobob2o$22bobo$21bo2bo$14b2ob2obobob2o$15bobo3b2o3bo$15bobo5b
3o$16bob5o$19bo2bob2o$14b5o2b2obobo$13bo4bo3bo3bo$14b3obob2ob3o$16bo6b
o$29b2o$17bo4bo5bo2bo$19b2o7bobobo$7bo19b2obobo$5bobo10bo7bo2bobob2o$
6b2o9b4o4b3o3bo2bo$16bo3b2o4bo2bobo2bob2o$17b2o3bo4b2o4b2o2bo$18b4o6bo
bo4b2o$5b2o13bo7bobobobo$5b2o22bo4bo$30b4o$6bo25bo$5bobo26bo$2o2bo2bo
25b2o$2obo$4b2o!

[hotdogPi]

p28 R-pentomino shuttle

Code: Select all

x = 249, y = 49, rule = B3/S23
123bobo$118b2o2bob2o2bo$118bo3bo3b3o$119b3ob2o$121bo3b2o$123bo2bo$122b
4o$126b3o$116b2o6b2o2bo$117bo2b4obobo$117bobob3obob2o$100b2o2b2o10b2ob
o3b3o2bo$58b2o2b2o6b2o11bo11bo5bo3bo13bobo4b2o$53b2o3b2o2bobo5bo10b3o
5b2o3bobo4bobobob2o7b4obobobo$13b2o7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2b
obobo2bo5bobobobo6bo4bo4bo17b2o2b2o$13bo9bo5bobo9b2o5bo3bobob9ob2o5bob
obo3b6o4bob2ob3o5bo3bob2o4b3o3b3o18bo3bo5bo11bo11b2o6b2o2b2o$8bob2obo
9bob2obobo10bobo4bob2obobo9bobo9b4o6b4o3bo8b2o3bobobo5bobobo17b2obobob
o4bobo3b2o5b3o10bo5bobo2b2o3b2o$8b2obob2o7b2obob2o2b3o9bo2b2obobobo4b
2o2b2obo8b2o5bo2b2o5b2o3b2ob2o7b2o2bo6b3o18bobobobo5bo2bobobo2bo5bo3b
2ob3o6bo9bobo3b2o16bo6b2o7b2o$b2o3b2o3bo3bo5bo3bo3b2o3bo2b2o2bobobobob
o3bo5bo3bob2o4bobo3b2o2bob2o3b3o2b3obob2o6b2o2b3o23b2obo3bo5b3ob2obo4b
6o3bobobo5b2ob9obobo3bo5b2o9bobo5bo9bo$o2bobo2bob3ob3o3b3ob3obo2bobo2b
3o2bobo2bob2obobobo4bo2bobob2ob4obo3bob2o9bo4bo3b2o9b2o22bobobo3b2o8bo
3b4o6b4o9bobo9bobob2obo4bobo10bobob2obo9bob2obo$obo3bob2o4bo2bobo2bo4b
2obob5obo3b2o3bo2b2o3b2o3b2ob2o2b3o2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o18b
o2b2o7b2ob2o3b2o5b2o2bo5b2o8bob2o2b2o4bobobob2o2bo9b3o2b2obob2o7b2obob
2o$bob2obo4b2o3b2ob2o3b2o4b2o3b2o7b2obo6b3o2b2o3bobo8b2o2bo4bobobobo8b
o3b2ob2o5b2ob3o16b3o2b2o6b2obob3o2b3o3b2obo2b2o3bobo4b2obo3bo5bo3bobob
obobo2b2o2bo3b2o3bo3bo5bo3bo3b2o3b2o$3bo2bo4b2o4bobo4b2o4bo12bo3bo6b3o
2bo2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o3b2o11b2o9b2o3bo4bo9b2obo3b
ob4ob2obobo2bo4bobobob2obo2bobo2b3o2bobo2bob3ob3o3b3ob3obo2bobo2bo$3bo
2bo4b2o4bobo4b2o4bo12bo3bo6b3o2bo2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2o
b3o3bobo6b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b2o3bob
5obob2o4bo2bobo2bo4b2obo3bobo$bob2obo4b2o3b2ob2o3b2o4b2o3b2o7b2obo6b3o
2b2o3bobo8b2o2bo4bobobobo8bo3b2ob2o5b2ob3o2bo2bo5b3ob2o5b2ob2o3bo8bobo
bobo4bo2b2o8bobo3b2o2b3o6bob2o7b2o3b2o4b2o3b2ob2o3b2o4bob2obo$obo3bob
2o4bo2bobo2bo4b2obob5obo3b2o3bo2b2o3b2o3b2ob2o2b3o2b2o4b2ob4o3b3ob2o2b
2obo3b5o8b2o4b2o6b3ob2ob2o5bobobob2o4bo2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo
12bo4b2o4bobo4b2o4bo2bo$o2bobo2bob3ob3o3b3ob3obo2bobo2b3o2bobo2bob2obo
bobo4bo2bobob2ob4obo3bob2o9bo4bo3b2o9b2o8bo7b3ob2ob2o5bobobob2o4bo2bo
5bo4b2o7bo5b2o2bo2b3o6bo3bo12bo4b2o4bobo4b2o4bo2bo$b2o3b2o3bo3bo5bo3bo
3b2o3bo2b2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o3b3o2b3obob2o6b2o2b3o
16b3ob2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o7b2o3b2o4b2o3b2ob
2o3b2o4bob2obo$8b2obob2o7b2obob2o2b3o9bo2b2obobobo4b2o2b2obo8b2o5bo2b
2o5b2o3b2ob2o7b2o2bo18b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b
2o2bo3b2o3bob5obob2o4bo2bobo2bo4b2obo3bobo$8bob2obo9bob2obobo10bobo4bo
b2obobo9bobo9b4o6b4o3bo8b2o3bobobo22b2o9b2o3bo4bo9b2obo3bob4ob2obobo2b
o4bobobob2obo2bobo2b3o2bobo2bob3ob3o3b3ob3obo2bobo2bo$13bo9bo5bobo9b2o
5bo3bobob9ob2o5bobobo3b6o4bob2ob3o5bo3bob2o23b3o2b2o6b2obob3o2b3o3b2ob
o2b2o3bobo4b2obo3bo5bo3bobobobobo2b2o2bo3b2o3bo3bo5bo3bo3b2o3b2o$13b2o
7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo18b3o6bo2b2o7b2ob
2o3b2o5b2o2bo5b2o8bob2o2b2o4bobobob2o2bo9b3o2b2obob2o7b2obob2o$53b2o3b
2o2bobo5bo10b3o5b2o3bobo4bobobob2o17bobobo5bobobo3b2o8bo3b4o6b4o9bobo
9bobob2obo4bobo10bobob2obo9bob2obo$58b2o2b2o6b2o11bo11bo5bo3bo18b3o3b
3o4b2obo3bo5b3ob2obo4b6o3bobobo5b2ob9obobo3bo5b2o9bobo5bo9bo$100b2o2b
2o17bo4bo4bo6bobobobo5bo2bobobo2bo5bo3b2ob3o6bo9bobo3b2o16bo6b2o7b2o$
123bobobob4o7b2obobobo4bobo3b2o5b3o10bo5bobo2b2o3b2o$121b2o4bobo13bo3b
o5bo11bo11b2o6b2o2b2o$120bo2b3o3bob2o10b2o2b2o$120b2obob3obobo$121bobo
b4o2bo$120bo2b2o6b2o$120b3o$123b4o$122bo2bo$122b2o3bo$124b2ob3o$120b3o
3bo3bo$120bo2b2obo2b2o$123bobo!

[Sokwe]

Here's a p18 independent 90-degree reflector based on David Raucci's new sparker:

Code: Select all

x = 47, y = 52, rule = B3/S23
bo$2bo$3o3$6bo$4bobo$5b2o7$15bo$13bobo$14b2o2$19bo$20bo$18b3o3$24bo$
17b2o3bobo$16bo2bo3b2o$15bobobo6b2o$15bobob2o7bo7bo$13b2obobo3bo12bobo
4bo$13bo2bo2b2obo12bobo2b3o$10b2obobobo4bo4bo6b2obobo$10bo2b2o2bob2o5b
obo3bo4bo2b3o$11b2o3bo2bo5b2ob2o5b3obo2bo$13b2ob2obo5bo2bo2bo6b2o$13bo
4bo5b2ob2o2bo3bo3bo2bo2b2o$14b4o7bobo7bobobobobo2bo$15bo10bo5bo3b4ob2o
b2o$13bo20b2o4bo$13b2o20bob2obob4o$28bo6bo2bobobo2bo$27b3o6b2o3bo$26bo
bobo$24b3o3b3o$23bo3bobo3bo$23bob2o4b2obo$24bo2b3o4bo$25b2o5bob2o$27bo
2bo3bo2bo$27b4ob2o2b2o$31bo$29bobo$29b2o!

This is now the 90-degree reflector with the fastest known repeat time.

[hotdogPi]

Another p20

Code: Select all

x = 37, y = 32, rule = B3/S23
10bo$10b3o$13bo$12bobobobo$11bob3o3bo$11bobobo2bo$12bo2b2o$13bo2bo2$
13bo3bo$35b2o$14b3o14b2o2bo$4bo25bo2bobo$3bobo15bo8b2o2bo$9bo9b5o2bo2b
obo$3bo2b2o3bo6b2o6b2ob3o$4b3o4bo5bo3b3o2bo$3b2o6bo6b4o7b2ob2o$2bob2ob
obo9b2o11b2o$bobo2bo$bo2b2o$2o18b3o$21bo2$19bob2o$19bobob2o$21b3obo$
18b2o5bo$18b2o4bo$23bo$24b3o$26bo!

Partials

p20

Code: Select all

x = 26, y = 32, rule = B3/S23
3b2o11b2o$4bo11bo$3bo13bo$3b2o5bo5b2o$6b2obobob2o$b5obobobobob5o$o4bo
3bobo3bo4bo$b3o3bobobobo3b3o$3bobo3bobo3bobo$4b3obo3bob3o$7bo5bo4$14bo
3bo$12b2ob2obo$12b2ob2o$11bo2bo$12b2o3$12bo5bo$9b3obo3bob3o$8bobo3bobo
3bobo$6b3o3bobobobo3b3o$5bo4bo3bobo3bo4bo$6b5obobobobob5o$11b2obobob2o
$8b2o5bo5b2o$8bo13bo$9bo11bo$8b2o11b2o!

(p32 partial removed because it was actually p33)

p42

Code: Select all

x = 17, y = 42, rule = B3/S23
9b2o$5b2obobo$6bobo$6bob2o$5b2obobob2ob2o$4bo3b2o3bobo$5b3o3bobobo$8b
7o$5b2obo$4bob2o3b6o$4bo3b2o6bo$5b3o6bo$7bo6b2o$8b6o2bo$15b2o3$4b3o$bo
2b4o$bob2o2b2o$4b2obo$4b3o$5bo5$2o$o$b3o4b2o$2bo2bobob3o$o3bobo5bo$6ob
2obobo$10b2o$2b7o$bobobo3b3o$bobo3b2o3bo$2ob2obobob2o$7b2obo$8bobo$6bo
bob2o$6b2o!

p50

Code: Select all

x = 22, y = 36, rule = B3/S23
4b2o3b2o$4b2o3b2o2$5bo3bo$2o2b2o3b2o2b2o$o2bobo3bobo2bo$bobo7bobo$2bo
9bo$3b3o3b3o$5bobobo$6b3o$7bo4$8b3o$7bo3bo$6bo5bo$6bo$6bo3b2o$4bo3b2o$
4bo3$14bo$13b3o$12bobobo$10b3o3b3o$9bo9bo$8bobo7bobo$7bo2bobo3bobo2bo$
7b2o2b2o3b2o2b2o$12bo3bo2$11b2o3b2o$11b2o3b2o!

p56

Code: Select all

x = 40, y = 42, rule = B3/S23
17b2o$17b2o3$11b2o2$13bo13b2o$11b2ob2o11bo$b2o8b2ob2o9bobo$obo12bo9b2o
$obob2o9bob2o$bobobo5bo3b2ob2o$3bo7bo8bo$3b2o6b3o3bo2bo$3b3o13bo$3b3o
10bobo$3b3o10bob2o6b2o$3b3o11b2o6bo2bo$3b2o12bo2bo5b3o8b2o$3bo6b3o6bo
6b2o9bobo$bobobo4b3o13b3o5b2obobo$obob2o5b3o13b3o4bobobo$obo9b2o6bo6b
3o6bo$b2o8b3o5bo2bo12b2o$11bo2bo6b2o11b3o$12b2o6b2obo10b3o$21bobo10b3o
$20bo13b3o$19bo2bo3b3o6b2o$19bo8bo7bo$20b2ob2o3bo5bobobo$21b2obo9b2obo
bo$13b2o9bo12bobo$12bobo9b2ob2o8b2o$12bo11b2ob2o$11b2o13bo2$27b2o3$21b
2o$21b2o!

(p98 partial removed because it was actually p100 and 55P10 doesn't work)

p120

Code: Select all

x = 50, y = 41, rule = B3/S23
32b2o$32b2o9$31b3o$30bo3bo$29bo5bo$29bo5bo$23b3o6bo$22bo3bo3bo3bo$12b
2o8bo3bo4b3o$11bo3bo6bo3bo5bo$2o8bo5bo6b3o10b2o$2o8bo3bob2o9bo6bo3bo$
10bo5bo9bobo4bo5bo$11bo3bo9bo2bo3b2obo3bo8b2o$12b2o12b2o5bo5bo8b2o$17b
o16bo3bo$16b3o8b2o7b2o$15bo3bo$17bo$14bo5bo$14bo5bo$15bo3bo$16b3o9$16b
2o$16b2o!

[hotdogPi]

p128 wing hassler

Code: Select all

x = 38, y = 47, rule = B3/S23
6bo3bo3bo3bo$6bo2bobobobo2bo$10b2ob2o2$7bo2b2ob2o2bo$6bobo7bobo$7b2ob
2ob2ob2o$7b2o2bobo2b2o$9bobobobo$10bo3bo5$31b2o$30bo2bo$29bo2bo$29bo6b
o$28bo2bo3bobo$29b3o3b2o$5b2o$4bo2bo21b3o3b2o$5bo2bo12bo6bo2bo3bobo$bo
6bo11bobo6bo6bo$obo3bo2bo9bo2bo6bo2bo$b2o3b3o10bobo8bo2bo$19b3o9b2o$b
2o3b3o$obo3bo2bo$bo6bo$5bo2bo$4bo2bo$5b2o5$23bo3bo$22bobobobo$20b2o2bo
bo2b2o$20b2ob2ob2ob2o$19bobo7bobo$20bo2b2ob2o2bo2$23b2ob2o$19bo2bobobo
bo2bo$19bo3bo3bo3bo!

[MathAndCode]

p128 wing hassler

There are p8 replacements for half of the copies of Rich's p16.

Code: Select all

x = 38, y = 40, rule = B3/S23
13b2o$10bo$9bobo2b2o$7bobob3o2bo$7bo2b6o$10b2ob2o$9b6o2bo$8bo2b3obobo
$9b2o2bobo$14bo$10b2o4$31b2o$30bo2bo$29bo2bo$29bo6bo$28bo2bo3bobo$29b
3o3b2o$5b2o$4bo2bo21b3o3b2o$5bo2bo12bo6bo2bo3bobo$bo6bo11bobo6bo6bo$o
bo3bo2bo9bo2bo6bo2bo$b2o3b3o10bobo8bo2bo$19b3o9b2o$b2o3b3o$obo3bo2bo$
bo6bo$5bo2bo$4bo2bo$5b2o4$25b2o2bo$21b2o2b2o3bo$21b2o7bo$26b4o!

[hotdogPi]

p30 "honey whirlpool"

Code: Select all

x = 49, y = 40, rule = B3/S23
16b2o$16bo2bo2$20bo2$18b2o$17bo3$14b2o3b2o$14b2o3b2o8bo$15b5o7b3o$16bo
bo7bo$26b2o$16b3o$36b2o$36b3o$31b2o5b2obo5b2o$3bo5b2o18bo8bo2bo5b2o$bo
3bo3b3o20bo5b2obo$5bo5b2obo9b2o2bo7b3o$o5bo4bo2bo7b2o2bobo7b2o$2o9b2ob
o7b2ob2o$9b3o10b2ob2o2b2o$9b2o13bo6bo2$21b2o$22bo5b2o3b2o$19b3o6b2o3b
2o$19bo9b5o$30bobo2$30b3o6$31b2o$31b2o!

p60

Code: Select all

x = 44, y = 26, rule = B3/S23
28bobo$27bo2bo$18b2o6b2o10b2o$18b2o4b2o3bo8b2o$26b2o5b2o$27bo2bo4bo$
28bobo3$19bo$18bobo$4bobo2bobo5bo3bo$2obo2bo2bo2bob2obo3bo10bobo2bobo$
4bobo2bobo5bo3bo6b2obo2bo2bo2bob2o$18bobo11bobo2bobo$19bo4$13bobo$8bo
4bo2bo$9b2o5b2o$4b2o8bo3b2o4b2o$4b2o10b2o6b2o$13bo2bo$13bobo!

Partials:

p14; seems to have a lot of potential if completed. Unfortunately, it's going to be really hard to get the right spark in.

Code: Select all

x = 26, y = 14, rule = B3/S23
14bo$8bo2bobobo7b2o$8b4obobo$b2o10bob2o6bo$bobo6b4o3bo5bo$3bo5bo4bob3o
5b2o$3b2o3bo2bob2o2bo5bo$b2o3bobo4bob2o6bo$o2b4obo2b2o2bo$bobo2bobo4bo
bo$2o2bobob4ob2o$2bob2obo4bo$2bo4bob2obo$b2o4b2ob2o!

p28 with a banana spark

Code: Select all

x = 7, y = 6, rule = B3/S23
o$bo$bo3bo$3b2obo$3bo2bo$3b3o!

p32 (the one I took out of the previous one because it was the wrong period actually was right to begin with). In addition to the spark, the beehive must be removed, which I can't find a way to do. However, there is decent potential for a gun here if the beehive can get converted to a glider.

Code: Select all

x = 57, y = 20, rule = B3/S23
13b2o13b2o$9b2obo2bo3b2ob2o3bo2bob2o$10bob3obo2b2ob2o2bob3obo$7b3o6bo
9bo6b3o$7bo2b6ob9ob6o2bo$9bo5bo3bo5bobobo4bo$2o8b4o2b2o3b2o3bo3b2o18b
2o$o2bo7b3o6bo2bo4b2o8b5obo$3b3o17bo5b2o3bob2o14bo$2obo2bob2o13bo8bo2b
o9bo4bob4o$2obo2bob2o13bo8bo2bo9bo3bob2o$3b3o17bo5b2o3bob2o10bo7bo$o2b
o7b3o6bo2bo4b2o8b5obo3bo6bo$2o8b4o2b2o3b2o3bo3b2o$9bo5bo3bo5bobobo4bo
12bobo3bo$7bo2b6ob9ob6o2bo10bo4bo$7b3o6bo9bo6b3o11b4o$10bob3obo2b2ob2o
2bob3obo15bo$9b2obo2bo3b2ob2o3bo2bob2o$13b2o13b2o!

p38 (no, my program doesn't look for 5-cell sparks that aren't even sparks)

Code: Select all

x = 9, y = 9, rule = B3/S23
2o$bo2$o3bo$o2b4o$2bo3b2o$3b2o3bo$4b4o$6bo!

p54

Code: Select all

x = 19, y = 61, rule = B3/S23
4bob2o4b2obo$4b2o2bo2bo2b2o$2b2o3bo4bo3b2o$bo3b2ob4ob2o3bo$2b3obobo2bo
bob3o$4bobobo2bobobo$7bo4bo$8bo2bo$8bo2bo2$5b2o6b2o$5bo8bo$6b2o4b2o$8b
o2bo$4b12o$3bo12bo$4b4o4b4o2$4b3o6b3o$3bo2bo6bo2bo$3b2o2b6o2b2o5$9bo$
8b3o$7bo2b2o$5bobo3bo$8b2obo$10b2o10$2b2o2b6o2b2o$2bo2bo6bo2bo$3b3o6b
3o2$3b4o4b4o$2bo12bo$3b12o$7bo2bo$5b2o4b2o$4bo8bo$4b2o6b2o2$7bo2bo$7bo
2bo$6bo4bo$3bobobo2bobobo$b3obobo2bobob3o$o3b2ob4ob2o3bo$b2o3bo4bo3b2o
$3b2o2bo2bo2b2o$3bob2o4b2obo!

p62

Code: Select all

x = 32, y = 49, rule = B3/S23
16b2o4b2o$15b3o4b3o$13bo12bo$12bobo10bobo$8b2ob2o14b2ob2o$8b2o2bobo10b
obo2b2o$13b2o10b2o$14bo10bo4$14bo10bo$13b2o10b2o$8b2o2bobo10bobo2b2o$
8b2ob2o14b2ob2o$12bobo10bobo$13bo12bo$15b3o4b3o$16b2o4b2o3$12b2o$9b2ob
2o$9b2o3bo$6bobo3b2o$6bo2b2ob2o$9b2o4$8b2o4b2o$7b3o4b3o$5bo12bo$4bobo
10bobo$2ob2o14b2ob2o$2o2bobo10bobo2b2o$5b2o10b2o$6bo10bo4$6bo10bo$5b2o
10b2o$2o2bobo10bobo2b2o$2ob2o14b2ob2o$4bobo10bobo$5bo12bo$7b3o4b3o$8b
2o4b2o!

p84

Code: Select all

x = 20, y = 55, rule = B3/S23
6b2o$6bobob2o$8bobo$7bo2bo$2ob2obobob2o$bobo3b2o3bo$bobo5b3o$2bob5o$
10b2o$7o2b2obo$o11bo$2bob4ob3o$b9o$o$2o9$7b3o$7bobo$6bo2bo$6bobo$6b3o$
4bo$4bo11$18b2o$19bo$10b9o$8b3ob4obo$7bo11bo$7bob2o2b7o$8b2o$11b5obo$
8b3o5bobo$7bo3b2o3bobo$8b2obobob2ob2o$9bo2bo$9bobo$8b2obobo$12b2o!

p98, the other one I removed before that was right all along. Only half is shown due to the 754P7.

Code: Select all

x = 130, y = 24, rule = B3/S23
100b2o2b2o$58b2o2b2o6b2o11bo11bo5bo3bo$53b2o3b2o2bobo5bo10b3o5b2o3bobo
4bobobob2o$13b2o7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo$
13bo9bo5bobo9b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob2o6bo3bob2o$8bob2obo9b
ob2obobo10bobo4bob2obobo4bo4bobo7bob4o2bo3b4o3bo3bo4b2o2b2obo$8b2obob
2o7b2obob2o2b3o9bo2b2obobobo3b2o3b2obo7bo2bo4b2o2bobo3b2o3b2ob2o2bob2o
4bobo$b2o3b2o3bo13bo3b2o2bo4bo3b2obobobo3bo2b2obo3bobobo5bobo2b2o3b4ob
3o2b3obo7b3o4bo2bo$o2bobo2b2o2b5o3b5o2b2o2b3o3bobobo3bobobob2o10bo6b4o
5bo12bo4bo2bo3bo4bo5bo9bo$obo3bobo5bo7bo5bobo2bo2bo2b2o4bo5b2o4bo3b3ob
o2bob2o2b2obob3ob7o3b4o4bo3b2obob2o3bo$bob3o2bo2bo4b2ob2o4bo2bo2b3o3b
2ob2o2b2obo8b2obo5b2obob2o3bob2o5b5o4bo2bo3bo2b2ob2o7bo9b2obo$3bo3b2o
2bo5bobo5bo2b2o2bo7b2o7bob2o2bo3bo5bobob2o4b2o2bo14b2o3b2o3bo5bo4bo8bo
3bo$3bo3b2o2bo5bobo5bo2b2o2bo7b2o7bob2o2bo3bo5bobob2o4b2o2bo14b2o3b2o
3bo5bo4bo7b4ob2o$bob3o2bo2bo4b2ob2o4bo2bo2b3o3b2ob2o2b2obo8b2obo5b2obo
b2o3bob2o5b5o4bo2bo3bo2b2ob2o7bo6b2o$obo3bobo5bo7bo5bobo2bo2bo2b2o4bo
5b2o4bo3b3obo2bob2o2b2obob3ob7o3b4o4bo3b2obob2o3bo$o2bobo2b2o2b5o3b5o
2b2o2b3o3bobobo3bobobob2o10bo6b4o5bo12bo4bo2bo3bo4bo5bo6bo$b2o3b2o3bo
13bo3b2o2bo4bo3b2obobobo3bo2b2obo3bobobo5bobo2b2o3b4ob3o2b3obo7b3o4bo
2bo$8b2obob2o7b2obob2o2b3o9bo2b2obobobo3b2o3b2obo7bo2bo4b2o2bobo3b2o3b
2ob2o2bob2o4bobo6bo$8bob2obo9bob2obobo10bobo4bob2obobo4bo4bobo7bob4o2b
o3b4o3bo3bo4b2o2b2obo10b4o$13bo9bo5bobo9b2o5bo3bobob9ob2o5bobobo3b6o4b
ob2ob2o6bo3bob2o9b2o$13b2o7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo
5bobobobo$53b2o3b2o2bobo5bo10b3o5b2o3bobo4bobobob2o$58b2o2b2o6b2o11bo
11bo5bo3bo$100b2o2b2o!

p204

Code: Select all

x = 30, y = 13, rule = B3/S23
4bo4b2o2b2o$4b3o2bo2bobo$7bobob2o$4b3o2bo4bo5b2o$4bo2bob3o$7b2o6bo6b2o
$2o2bo2bo3bo3bo3b2o2bo$o2bobobobobo5bob2o3b4o$b2ob2ob4o3bo2b2o3bo3b2ob
o$6bo4b2o4bob2o3bo3b2o$b4obob2obo7b4o3b2obo$bo2bobobo2bo11bo2b2o$5bo3b
2o12b2o!

[MathAndCode]

In addition to the spark, the beehive must be removed, which I can't find a way to do.

An R49 catalyst works.

Code: Select all

x = 67, y = 20, rule = B3/S23
13b2o13b2o$9b2obo2bo3b2ob2o3bo2bob2o$10bob3obo2b2ob2o2bob3obo$7b3o6bo
9bo6b3o$7bo2b6ob9ob6o2bo$9bo5bo3bo5bobobo4bo27bo$2o8b4o2b2o3b2o3bo3b2o
18b2o9bobo$o2bo7b3o6bo2bo4b2o8b5obo16bobo$3b3o17bo5b2o3bob2o14bo7b2ob
2o$2obo2bob2o13bo8bo2bo9bo4bob4o8bo$2obo2bob2o13bo8bo2bo9bo3bob2o7b4o
$3b3o17bo5b2o3bob2o10bo7bo2bo$o2bo7b3o6bo2bo4b2o8b5obo3bo6bo3bobo$2o8b
4o2b2o3b2o3bo3b2o28b2o$9bo5bo3bo5bobobo4bo12bobo3bo$7bo2b6ob9ob6o2bo10b
o4bo11b2o$7b3o6bo9bo6b3o11b4o12bobo$10bob3obo2b2ob2o2bob3obo15bo16bo$
9b2obo2bo3b2ob2o3bo2bob2o31b2o$13b2o13b2o!

Edit: A figure eight provides more clearance for inserting the spark at the top.

Code: Select all

x = 68, y = 20, rule = B3/S23
13b2o13b2o$9b2obo2bo3b2ob2o3bo2bob2o$10bob3obo2b2ob2o2bob3obo$7b3o6bo
9bo6b3o$7bo2b6ob9ob6o2bo$9bo5bo3bo5bobobo4bo$2o8b4o2b2o3b2o3bo3b2o18b
2o$o2bo7b3o6bo2bo4b2o8b5obo$3b3o17bo5b2o3bob2o14bo$2obo2bob2o13bo8bo2b
o9bo4bob4o$2obo2bob2o13bo8bo2bo9bo3bob2o9bo$3b3o17bo5b2o3bob2o10bo7bo
$o2bo7b3o6bo2bo4b2o8b5obo3bo6bo4bob3o$2o8b4o2b2o3b2o3bo3b2o30b2obo$9b
o5bo3bo5bobobo4bo12bobo3bo8bob2o$7bo2b6ob9ob6o2bo10bo4bo11b3obo$7b3o6b
o9bo6b3o11b4o$10bob3obo2b2ob2o2bob3obo15bo16bo$9b2obo2bo3b2ob2o3bo2bo
b2o$13b2o13b2o!

Another edit: Here is another way to suppress the beehive, which has about as much clearance as a figure eight:

Code: Select all

x = 65, y = 23, rule = B3/S23
13b2o13b2o$9b2obo2bo3b2ob2o3bo2bob2o$10bob3obo2b2ob2o2bob3obo$7b3o6bo
9bo6b3o$7bo2b6ob9ob6o2bo$9bo5bo3bo5bobobo4bo$2o8b4o2b2o3b2o3bo3b2o18b
2o$o2bo7b3o6bo2bo4b2o8b5obo$3b3o17bo5b2o3bob2o14bo$2obo2bob2o13bo8bo2b
o9bo4bob4o3bo$2obo2bob2o13bo8bo2bo9bo3bob2o6b2o$3b3o17bo5b2o3bob2o10b
o7bo2bo$o2bo7b3o6bo2bo4b2o8b5obo3bo6bo4bob2o$2o8b4o2b2o3b2o3bo3b2o27b
o4bo$9bo5bo3bo5bobobo4bo12bobo3bo6bo$7bo2b6ob9ob6o2bo10bo4bo11b2o$7b3o
6bo9bo6b3o11b4o8b2o$10bob3obo2b2ob2o2bob3obo15bo14bo$9b2obo2bo3b2ob2o
3bo2bob2o25bo4bo$13b2o13b2o30b2obo$64bo$63b2o$64bo!

Yet another edit: Dimerization also works.

Code: Select all

x = 112, y = 26, rule = B3/S23
13b2o13b2o$9b2obo2bo3b2ob2o3bo2bob2o$10bob3obo2b2ob2o2bob3obo$7b3o6bo
9bo6b3o$7bo2b6ob9ob6o2bo$9bo5bo3bo5bobobo4bo$2o8b4o2b2o3b2o3bo3b2o18b
2o30b2o13b2o$o2bo7b3o6bo2bo4b2o8b5obo33b2obo2bo3b2ob2o3bo2bob2o$3b3o17b
o5b2o3bob2o14bo10bo15bob3obo2b2ob2o2bob3obo$2obo2bob2o13bo8bo2bo9bo4b
ob4o5b4o11b3o6bo9bo6b3o$2obo2bob2o13bo8bo2bo9bo3bob2o7bo4bo10bo2b6ob9o
b6o2bo$3b3o17bo5b2o3bob2o10bo7bobo3bobo12bo4bobobo5bo3bo5bo$o2bo7b3o6b
o2bo4b2o8b5obo3bo31b2o3bo3b2o3b2o2b4o8b2o$2o8b4o2b2o3b2o3bo3b2o31bo3b
ob5o8b2o4bo2bo6b3o7bo2bo$9bo5bo3bo5bobobo4bo12bobo3bobo7bo10b2obo3b2o
5bo17b3o$7bo2b6ob9ob6o2bo10bo4bo7b2obo3bo9bo2bo8bo13b2obo2bob2o$7b3o6b
o9bo6b3o11b4o5b4obo4bo9bo2bo8bo13b2obo2bob2o$10bob3obo2b2ob2o2bob3obo
15bo10bo14b2obo3b2o5bo17b3o$9b2obo2bo3b2ob2o3bo2bob2o33bob5o8b2o4bo2b
o6b3o7bo2bo$13b2o13b2o30b2o18b2o3bo3b2o3b2o2b4o8b2o$77bo4bobobo5bo3bo
5bo$76bo2b6ob9ob6o2bo$76b3o6bo9bo6b3o$79bob3obo2b2ob2o2bob3obo$78b2ob
o2bo3b2ob2o3bo2bob2o$82b2o13b2o!