Oscillator Discussion Thread

[Scorbie]

An alternative form of the good old Half-HWV from a long long time ago (top is known, bottom is new)

Code: Select all

x = 23, y = 25, rule = B3/S23
4b2o4b2o2bo$3bo2bobo5bo3bobo$b3obo8bo2b2o$o3bob2o6b3o4bo$obobo2bob4obo
bob2o2bo$b2ob2o3bobo4bo2bob2o$8b2obob2ob2obo$7bo2b2obo2bo2bob2o$7b2o5b
2o2b2ob2o7$10b2o2bo$8bo5bo3bobo$14bo2b2o$7bo6b3o4bo$5b3ob4obobob2o2bo$
4bo4bobo4bo2bob2o$5b5obob2ob2obo$11bobo2bo2bob2o$5b5obobobo2b2ob2o$5bo
2bobo3bo!

Edit: Stator reduction by iNoMed:

Code: Select all

x = 19, y = 10, rule = B3/S23
6b2o2bo$4bo5bo3bobo$10bo2b2o$3bo6b3o4bo$b3ob4obobob2o2bo$o4bobo4bo2bob
2o$6obob2ob2obo$7bobo2bo2bo$2b4obobo2bobo$2bo2bob2o4bo!

[JP21]

Better stator reduction:

Code: Select all

x = 19, y = 22, rule = B3/S23
6b2o2bo$4bo5bo3bobo$10bo2b2o$o2bo6b3o4bo$4ob4obobob2o2bo$5bobo4bo2bob
2o$2b4obob2ob2obo$2bo4bobo2bo2bo$4b2obo3bo2bo$3b2ob2o4b2o3$6b2o2bo$4bo
5bo3bobo$10bo2b2o$3bo6b3o4bo$b3ob4obobob2o2bo$o4bobo4bo2bob2o$ob4obob
2ob2obo$bo5bobo2bo2bo$2b4obo3bo2bo$4bob2o4b2o!

[calcyman]

Upon realizing that a centinal can be rephased by removing the transient pair of blocks, I tried to construct a MWSS gun at periods 46+100n. It turns out that the timing for a chain of 3 Snarks+syringe+L156 on the left is off by 4 ticks, and so cannot be fixed by moving the trombone slide. How, then, to circulate signal(s) on the left and send a glider to the right to complete the mechanism?

Oh nice! Here's a p192 oscillator based on your mechanism:

Code: Select all

x = 91, y = 53, rule = B3/S23
37bo15bo$37b3o11b3o$40bo9bo$39b2o9b2o5$42bo5bo$41b3o3b3o$40b2o2bobo2b
2o$40bo3bobo3bo$40bob2o3b2obo$40b2o7b2o4$2o87b2o$o5b2o75b2o5bo$b3obobo
75bobob3o$3bobo79bobo$4b2o79b2o$34bo21bo$32bo3bo17bo3bo$b2o5b5o18bo27b
o18b5o5b2o$b2o5bo4bo17bo4bo17bo4bo17bo4bo5b2o$8bo22b5o19b5o22bo$9bo3bo
63bo3bo$11bo67bo2$23bo43bo$21b3o43b3o$20bo49bo$20b2o47b2o5$41bo7bo$40b
4o3b4o$10b2o28bo3bobo3bo28b2o$9bobo5b2o22bo2bobo2bo22b2o5bobo$9bo7b2o
22b3o3b3o22b2o7bo$8b2o71b2o2$22bo45bo$18b2obobo43bobob2o$17bobobobo43b
obobobo$14bo2bobobobob2o12b2o9b2o12b2obobobobo2bo$14b4ob2o2bo2bo13bo9b
o13bo2bo2b2ob4o$18bo4b2o12b3o11b3o12b2o4bo$16bobo18bo15bo18bobo$16b2o
55b2o!

[MathAndCode]

I didn't see this p4 oscillator in jslife.

Code: Select all

x = 23, y = 18, rule = B3/S23
12b2o$12b2o2$10b6o$9bo3bo2bo$9bobo3b2o$10b2o2$4bo5b3o5bo$3bobob9obobo$
3bob13obo$2obobo11bobob2o$2ob2o13b2ob2o$3bo15bo$3bobo4bobo4bobo$4b2o4b
2obo3b2o$13bo$13b2o!

[hotdogPi]

Partials:

p9

Code: Select all

x = 20, y = 24, rule = B3/S23
3bob2o4b2obo$3b2o2bo2bo2b2o$b2o3bo4bo3b2o$o3b2ob4ob2o3bo$b3obobo2bobob
3o$3bobo6bobo$4b2o6b2o$5b8o$7b4o4$6b3o$4bobobo$6b3o2b2ob2o$12bobo$11bo
2bobo$11b3ob4o$12bo6bo$11b2ob2ob2o$13bobobo$11b2obo2bo$14bobo$13b2ob2o!

p15

Code: Select all

x = 23, y = 15, rule = B3/S23
18b2o2$13b3o3bo$12bo3bo2bo$2o9bo5bo$bo9bo5bo$bobo3b3obo5bo$2b2o2bo3bob
o3bo2b2o$5bo5bob3o3bobo$5bo5bo9bo$5bo5bo9b2o$3bo2bo3bo$3bo3b3o2$3b2o!

p33; probably JLSable

Code: Select all

x = 26, y = 26, rule = B3/S23
22bo$20b3o$19bo$b2o16b2o$2bo$2bobo$3b2o11b3o$15bo3bo$14bo5bo2bo$13bo3b
o3bobo$2o11bo2bobo$bo5b3o3bo3bo$bob2obo3bo3bo8bo$2bo8bo3bo3bob2obo$8bo
3bo3b3o5bo$7bobo2bo11b2o$2bobo3bo3bo$2bo2bo5bo$6bo3bo$7b3o11b2o$21bobo
$23bo$5b2o16b2o$6bo$3b3o$3bo!

p40

Code: Select all

x = 43, y = 28, rule = B3/S23
23b2o2$24b2o$14b2o7b2o7bobo6bo$15bo8bobo3b3ob3obobobo$15bobo7bo3bo7b2o
b2o$16b2o12bob4o3bo$22b2o7bo3b2ob2o$21bo2bo7b4o2bob2o$22b2o7bo3bo4bo$
22b2o7bo3bo4bo$bo6bobo21b4o2bob2o$obobob3ob3o18bo3b2ob2o$b2ob2o7bo16bo
b4o3bo$3bo3b4obo16bo7b2ob2o$3b2ob2o3bo18b3ob3obobobo$b2obo2b4o21bobo6b
o$2bo4bo3bo7b2o$2bo4bo3bo7b2o$b2obo2b4o7bo2bo$3b2ob2o3bo7b2o$3bo3b4obo
12b2o$b2ob2o7bo3bo7bobo$obobob3ob3o3bobo8bo$bo6bobo7b2o7b2o$17b2o2$18b
2o!

unrelated p40

Code: Select all

x = 35, y = 32, rule = B3/S23
32bobo$31bo2bo$31bo$34bo$29bobobo$28b4o3$18b2o10b4o$28bobobo$19b3o5bo$
18bo3bo7bo$5b2o11bo3bo4bo2bo$6bo11bo3bo4bobo$6bobo10b3o$7b2o$26b2o$13b
3o10bobo$5bobo4bo3bo11bo$4bo2bo4bo3bo11b2o$4bo7bo3bo$7bo5b3o$2bobobo$b
4o10b2o3$3b4o$bobobo$o$3bo$o2bo$obo!

p45; mind the block

Code: Select all

x = 30, y = 32, rule = B3/S23
19b2o$17bo4bo$16bo6bo$15bo8bo$15bo8bo$15bo8bo$16bo6bo$17bo4bo$19b2o$
26b3o$11b2o5bo6bo3bo$b3o7b2o3bo2b2o4bo3bo$o3bo11bo9b3o$o3bo10bobo$b3o
11b6o$16b2o$12b2o$9b6o11b3o$12bobo10bo3bo$b3o9bo11bo3bo$o3bo4b2o2bo3b
2o7b3o$o3bo6bo5b2o$b3o$9b2o$7bo4bo$6bo6bo$5bo8bo$5bo8bo$5bo8bo$6bo6bo$
7bo4bo$9b2o!

p54. 56P27 almost works.

Code: Select all

x = 31, y = 28, rule = B3/S23
9bo$8bobo$9bo$o$3o$3bo$2b2o$16b2o$13bo3bo$3b2o7bo5bo$3b2o7bo5b2o$18b2o
3bo$11bo7b3o$9b2o8bobo$9bobo8b2o$9b3o7bo$7bo3b2o$11b2o5bo7b2o$12bo5bo
7b2o$13bo3bo$13b2o$27b2o$27bo$28b3o$30bo$21bo$20bobo$21bo!

p164

Code: Select all

x = 52, y = 29, rule = B3/S23
2o48b2o$obo46bobo$2b3o42b3o$bo3bo14b2o24bo3bo$b5o3bo32b5o2b2o$4b2o3b3o
8bo20b3ob2o$b5o3bo8bob2o20b5o2b2o$bo3bo11bo4bo13bobo7bo3bo$2b3o12bo5bo
11bo2bo8b3o$obo14bobob2o12bo2bo10bobo$2o16b3o15b2o12b2o$31b2o$31b2o4$
19b2o$19b2o$2o12b2o15b3o16b2o$obo10bo2bo12b2obobo14bobo$2b3o8bo2bo11bo
5bo12b3o$bo3bo7bobo13bo4bo11bo3bo$b2o2b5o20b2obo8bo3b5o$5b2ob3o20bo8b
3o3b2o$b2o2b5o32bo3b5o$bo3bo24b2o14bo3bo$2b3o42b3o$obo46bobo$2o48b2o!

p195; middleweight volcano is just deleting junk, and that was simply the first non-still life thing that worked

Code: Select all

x = 42, y = 63, rule = B3/S23
26b2o$22b2o2bo$21bo2bobo$17b2obobobob2o$17bob2o5bo$22b3o3bo$18b4obob3o
bo$17bo11bo$18b3o5b3o$20bo5bo$21b5o7$30b2o2$29bo$27b2ob2o$28b3obo$25bo
3bo$14bo9b2obobo3bo$13bobo7b2o3b2o2bo$12bo2bo8bo5b2o7b3o$3o10b2o16b2o
7bo$bo27b2o2bo6bo$bo27b2ob3o4b3o$3o25bo2b3obo$29b3o2b3o2b3o$3o3b2o3b2o
16b2o3b2o3b3o$3o2b3o2b3o$6bob3o2bo25b3o$3o4b3ob2o27bo$bo6bo2b2o27bo$bo
7b2o16b2o10b3o$3o7b2o5bo8bo2bo$9bo2b2o3b2o7bobo$8bo3bobob2o9bo$12bo3bo
$9bob3o$10b2ob2o$12bo2$10b2o7$16b5o$15bo5bo$13b3o5b3o$12bo11bo$12bob3o
bob4o$13bo3b3o$15bo5b2obo$14b2obobobob2o$15bobo2bo$15bo2b2o$14b2o!

[iNoMed]

Crossposting this P60 oscillator from the Discord:

Code: Select all

x = 44, y = 29, rule = B3/S23
21bo4bo$19b2ob4ob2o$7bo13bo4bo$6bobo$6bobo$4b3ob2o$3bo34b2o$4b3ob2o26b
o4bo$6bobo26bo6bo$9bo24bo8bo$34bo8bo$34bo8bo$22b3o10bo6bo$18b2o5bo10bo
4bo$4b2o15b2o15b2o$2bo4bo10bo5b2o$bo6bo10b3o$o8bo$o8bo$o8bo24bo$bo6bo
26bobo$2bo4bo26b2ob3o$4b2o34bo$34b2ob3o$35bobo$35bobo$17bo4bo13bo$15b
2ob4ob2o$17bo4bo!

The partial was originally found by HotdogPi (using a PD to delete a block), and was subsequently completed by me.

[Scorbie]

Here's a cute little p7 hassler

Code: Select all

x = 47, y = 14, rule = B3/S23
14bo17bo$8bo2bobobo15bobobo2bo$8b4obobo15bobob4o$b2o10bob2o13b2obo10b
2o$bobo6b4o8b3o8b4o6bobo$3bo5bo4b2o2b2o7b2o2b2o4bo5bo$3b2o2bo4b2o7bo3b
o7b2o4bo2b2o$b2o3bo4bo3b2o4bo3bo4b2o3bo4bo3b2o$o2b2obo3bo2bobo6bobo6bo
bo2bo3bob2o2bo$bobo2bo4bo3bo3b3o3b3o3bo3bo4bo2bobo$2o2bobob4ob2o4bo7bo
4b2ob4obobo2b2o$2bob2obo4bo21bo4bob2obo$2bo4bob2obo21bob2obo4bo$b2o4b
2ob2o23b2ob2o4b2o!

[hotdogPi]

Here's a cute little p7 hassler

Code: Select all

x = 47, y = 14, rule = B3/S23
14bo17bo$8bo2bobobo15bobobo2bo$8b4obobo15bobob4o$b2o10bob2o13b2obo10b
2o$bobo6b4o8b3o8b4o6bobo$3bo5bo4b2o2b2o7b2o2b2o4bo5bo$3b2o2bo4b2o7bo3b
o7b2o4bo2b2o$b2o3bo4bo3b2o4bo3bo4b2o3bo4bo3b2o$o2b2obo3bo2bobo6bobo6bo
bo2bo3bob2o2bo$bobo2bo4bo3bo3b3o3b3o3bo3bo4bo2bobo$2o2bobob4ob2o4bo7bo
4b2ob4obobo2b2o$2bob2obo4bo21bo4bob2obo$2bo4bob2obo21bob2obo4bo$b2o4b
2ob2o23b2ob2o4b2o!

p5 here. Maybe there's a way to combine them?

Code: Select all

x = 33, y = 23, rule = B3/S23
13b2o3b2o$12bo2bobo2bo$12bo2bobo2bo2$9b2o4bobo4b2o$9bo2bob2ob2obo2bo$
10bob2o5b2obo$11bo9bo$4b2o6b9o6b2o$4bobo7bobobo7bobo$7bo17bo$b2o2b2obo
7bo7bob2o2b2o$o5bobo7bo7bobo5bo$o4bo2b2o13b2o2bo4bo$b2ob2o2bo6b3o6bo2b
2ob2o$8b2ob2o7b2ob2o$b2ob2o2bo5bo3bo5bo2b2ob2o$o4bo2b2o4bo3bo4b2o2bo4b
o$o5bobo6bobo6bobo5bo$b2o2b2obo3b3o3b3o3bob2o2b2o$7bo4bo7bo4bo$4bobo
19bobo$4b2o21b2o!

[JP21]

Partials:
p15

Code: Select all

rle

Code: Select all

x = 37, y = 23, rule = B3/S23
31b2o$29bo4bo$28bo6bo$27bo8bo$27bo8bo$27bo8bo$28bo6bo$29bo4bo$7b2o12b
2o8b2o$8bo7b2ob2obo$8bobo4bo$9b2o4bo5bo4b2o$21bo4bobo$14bob2ob2o7bo$4b
2o8b2o12b2o$2bo4bo$bo6bo$o8bo$o8bo$o8bo$bo6bo$2bo4bo$4b2o!

Edit: It could actually be used to solve another p15 partial:

Code: Select all

x = 35, y = 32, rule = B3/S23
12b3o2$11bo3bo$11bo3bo2$12b3o3$12b3o$23bo$11bo3bo5b3o$11bo3bo4bo$7b2o
11b2o$7b2o3b3o2$18bo$2o15b3o$bo8b2o4bo3bo$bobo13b2obo$2b2o8bo5b2o$6b2o
$7bobobo9b2o10b2o$8bobo9bob2o5b3o2bo$9bo10bo3bo7b2o$21b3o4bo$22bo5bo$
10b2o20b2o$10bo18b3o2bo$11b3o5b2o12b2o$13bo6bo$17b3o$17bo!

Edit 2: Turns out the p15 partial hotdogPi provided was already solved. I reduced the second pattern in this post.

[MathAndCode]

Crossposting this P60 oscillator from the Discord:

Code: Select all

x = 44, y = 29, rule = B3/S23
21bo4bo$19b2ob4ob2o$7bo13bo4bo$6bobo$6bobo$4b3ob2o$3bo34b2o$4b3ob2o26b
o4bo$6bobo26bo6bo$9bo24bo8bo$34bo8bo$34bo8bo$22b3o10bo6bo$18b2o5bo10bo
4bo$4b2o15b2o15b2o$2bo4bo10bo5b2o$bo6bo10b3o$o8bo$o8bo$o8bo24bo$bo6bo
26bobo$2bo4bo26b2ob3o$4b2o34bo$34b2ob3o$35bobo$35bobo$17bo4bo13bo$15b
2ob4ob2o$17bo4bo!

This reduces the minimum population by six.

Code: Select all

x = 44, y = 29, rule = B3/S23
5b2o14bo4bo$5b2o12b2ob4ob2o$21bo4bo$5bo$4bobo$4bo2bo2b2o$8bob2o26b2o$
6b2o28bo4bo$35bo6bo$34bo8bo$34bo8bo$34bo8bo$22b3o10bo6bo$18b2o5bo10bo
4bo$4b2o15b2o15b2o$2bo4bo10bo5b2o$bo6bo10b3o$o8bo$o8bo$o8bo$bo6bo$2bo
4bo28b2o$4b2o26b2obo$32b2o2bo2bo$37bobo$38bo$17bo4bo$15b2ob4ob2o12b2o
$17bo4bo14b2o!

[hotdogPi]

p48

Code: Select all

x = 106, y = 50, rule = B3/S23
58bo5bo$57b3o3b3o$56bobobobobobo$55b2obobobobob2o$55bob4ob4obo$55b5o3b
5o3$59b2ob2o$58bobobobo$59bo3bo13b2o13b2o$73b2obo2bo3b2ob2o3bo2bob2o$
74bob3obo2b2ob2o2bob3obo$71b3o6bo9bo6b3o$71bo2b6ob9obob4o2bo$73bo5bo3b
o5bobo4bo$64b2o8bo2b2obo3b3o3b2o2bo8b3o$64b4o6bo2bo7bobo4bo2bo5b5o$55b
3o6b2obobo6bo9b3o3b3o4b7o$55bobo6b2obo2bob2o12b3o6bob3o$12b2o13b2o25bo
2bo6b2obo2bob2o12b3o6bob3o$8b2obo2bo3b2ob2o3bo2bob2o21bobo7b2obobo6bo
9b3o3b3o4b7o$9bob3obo2b2ob2o2bob3obo22b3o7b4o6bo2bo7bobo4bo2bo5b5o$6b
3o6bo9bo6b3o29b2o8bo2b2obo3b3o3b2o2bo8b3o$6bo2b4obob9ob6o2bo38bo5bo3bo
5bobo4bo$9bo4bobo5bo3bo5bo38bo2b6ob9obob4o2bo$3o8bo2b2o3b3o3bob2o2bo8b
2o29b3o6bo9bo6b3o$5o5bo2bo4bobo7bo2bo6b4o7b3o22bob3obo2b2ob2o2bob3obo$
7o4b3o3b3o9bo6bobob2o7bobo21b2obo2bo3b2ob2o3bo2bob2o$6b3obo6b3o12b2obo
2bob2o6bo2bo25b2o13b2o$6b3obo6b3o12b2obo2bob2o6bobo$7o4b3o3b3o9bo6bobo
b2o6b3o$5o5bo2bo4bobo7bo2bo6b4o$3o8bo2b2o3b3o3bob2o2bo8b2o$9bo4bobo5bo
3bo5bo$6bo2b4obob9ob6o2bo$6b3o6bo9bo6b3o$9bob3obo2b2ob2o2bob3obo$8b2ob
o2bo3b2ob2o3bo2bob2o$12b2o13b2o13bo3bo$41bobobobo$42b2ob2o3$38b5o3b5o$
38bob4ob4obo$38b2obobobobob2o$39bobobobobobo$40b3o3b3o$41bo5bo!

Partials:
p18

Code: Select all

x = 62, y = 22, rule = B3/S23
3bo$2bobo$2bobo10bo3b2o$2o2b2o8bobobobo$bobo6b2o2bobobo39bo$o2b4o3bobo
bobob2o6b2o29bobo$obo4bo3b2obo2bo3bo19b2o3bo10bobo$bob3obo6bo3bo7bo14b
obobobo8b2o2b2o$3bob2o6bo4bo3bo2b4o14bobobo2b2o6bobo$3bob2o6bo4bo3bobo
3b2o3bo8b2obobobobo3b4o2bo$bob3obo6bo3bo6b2o3bob4o4bo3bo2bob2o3bo4bobo
$obo4bo3b2obo2bo3bo4b4obo3b2o6bo3bo6bob3obo$o2b4o3bobobobob2o8bo3b2o3b
obo3bo4bo6b2obo$bobo6b2o2bobobo14b4o2bo3bo4bo6b2obo$2o2b2o8bobobobo14b
o7bo3bo6bob3obo$2bobo10bo3b2o19bo3bo2bob2o3bo4bobo$2bobo29b2o6b2obobob
obo3b4o2bo$3bo39bobobo2b2o6bobo$41bobobobo8b2o2b2o$41b2o3bo10bobo$57bo
bo$58bo!

p22

Code: Select all

x = 46, y = 40, rule = B3/S23
9bo$7b3o$6bo$6b2o2$4bo$3bobo$2bo3bo$2bo2bo$2bo2bo$3b2o3$45bo$43b3o$42b
o$5b2o35b2o$4bo2bo19bo$4bo2bo10bo7b2o12bo$3bo3bo10b3o4b3o11bobo$4bobo
11b3o4b3o10bo3bo$5bo12b2o7bo10bo2bo$18bo19bo2bo$2b2o35b2o$3bo$3o$o3$
41b2o$40bo2bo$40bo2bo$39bo3bo$40bobo$41bo2$38b2o$39bo$36b3o$36bo!

p70 — looks very similar to the existing p50

Code: Select all

x = 35, y = 46, rule = B3/S23
25b2o$20b2o3bobo6bo$20b2o3bo2bo4b2o$26bo3bo$28bobo2$28bobo$26bo3bo$20b
2o3bo2bo4b2o$20b2o3bobo6bo$25b2o5$31bo$20bo10bo$18b4o8b3o$16bobobo2b2o
5b2o$14b2o4b2o2bobo3b3o$16bobo2b2o4b2o2bo$18b2o2bobobo4bo$12bo8b4o$10b
4o8bo$3bo4bobobo2b2o$3bo2b2o4b2o2bobo$2b3o3bobo2b2o4b2o$3b2o5b2o2bobob
o$2b3o8b4o$3bo10bo$3bo5$8b2o$o6bobo3b2o$2o4bo2bo3b2o$4bo3bo$4bobo2$4bo
bo$4bo3bo$2o4bo2bo3b2o$o6bobo3b2o$8b2o!

p77; two ways of sparking it shown; any object with a two-cell leading edge works sacrificially

Code: Select all

x = 54, y = 14, rule = B3/S23
20b2o20b2o5b2o$42b2o5b2o$21bobo$4b2o3b2o9bo2bo4bo$2b3obobob3o3bob2o4bo
3bobo11b3o3b3o$bo2bobobobo2bo2bo3bob2o4bob3o7bo4bobo4bo$o3bobobobo3bob
ob3obo22bobo$6bobo22bob3obobo3bobobobo3bo$bo4bobo4bo7b3obo4b2obo3bo2bo
2bobobobo2bo$3b3o3b3o11bobo3bo4b2obo3b3obobob3o$25bo4bo2bo9b2o3b2o$30b
obo$3b2o5b2o$3b2o5b2o19bobo!

[GUYTU6J]

I found this when writing for the p124 lumps of muck hassler.

This variant can be made into a p124 LOM hassler if some catalyst, stable or otherwise, can clean up the excess junk while staying away from the blue area:

Code: Select all

x = 20, y = 35, rule = LifeHistory
6.2A$5.B2AB$6.3B$7.B$5.5B3.B$4.7B.B2A$.AB.9B2A$A.A9B.B$2A.9B$4.2B3D4B
$4.2BDBD3B$4.2BD2BD2B$4.3BDBD2B$3.4B3D2B2.2B$3.14B$3.14B$2.15B$2.16B$
3.15B$3.14B$3.14B$4.2B2.2B3C4B$8.2BCBC3B$8.2BC2BC2B$8.3BCBC2B$7.4B3C
2B$8.9B.2A$6.B.9BA.A$5.2A9B.BA$5.2AB.7B$6.B3.5B$12.B$11.3B$11.B2AB$
12.2A!

It can be completed with Merzenich's p31, improving the minpop to 132 from 146 at the cost of larger bounding box:

Code: Select all

x = 35, y = 52, rule = B3/S23
12b2obo2bob2o$5b2o4bo2bo4bo2bo4b2o$5b2o5bobo4bobo5b2o$13bo6bo6$13bo6bo
$5b2o5bobo4bobo5b2o$5b2o4bo2bo4bo2bo4b2o$12b2obo2bob2o4$26b2o$26bobo$
20bo6bo3$5b2o$5b2o16b2o8b2o$22bobo8b2o$21b3o$22b2o3$2o$2o26b2o$28b2o3$
7bo$6bobo$7b2o4$13b2obo2bob2o$6b2o4bo2bo4bo2bo4b2o$6b2o5bobo4bobo5b2o$
14bo6bo6$14bo6bo$6b2o5bobo4bobo5b2o$6b2o4bo2bo4bo2bo4b2o$13b2obo2bob2o!

Ellison p4 HW emulator is not compatible with either the boat or the active region, and blocked p4-3 does not work either. Oddly enough, there are no known stable method to suppress that extra spark from dove, apart from a Snark-assisted version from calcyman.

[hotdogPi]

but if we really want a specific p7, we can almost always find it.

Partials of periods 28, 35, 49 (must also remove blocks), and 77 (the obo spark possibility I mentioned earlier interferes in generation 35, so domino spark it is). The first three of these are sparkers if completed.

Code: Select all

x = 169, y = 27, rule = B3/S23
78b2o3b2o2$76b3o5b3o$75bo3bo3bo3bo$74bo5bobo5bo$73bo3bo7bo3bo$44bo28bo
2bobo5bobo2bo$43bo29bo3bo7bo3bo45b2o20b2o5b2o$o37b3o2bo30bo5bobo5bo68b
2o5b2o$bo35bo3bo33bo3bo3bo3bo48bobo$bo3bo30b6o34b3o5b3o32b2o3b2o9bo2bo
4bo$3b2obo30b2o78b3obobob3o3bob2o4bo3bobo11b3o3b3o$3bo2bo109bo2bobobob
o2bo2bo3bob2o4bob3o7bo4bobo4bo$3b3o109bo3bobobobo3bobob3obo22bobo$121b
obo22bob3obobo3bobobobo3bo$36b2o78bo4bobo4bo7b3obo4b2obo3bo2bo2bobobob
o2bo$33b6o37b3o5b3o31b3o3b3o11bobo3bo4b2obo3b3obobob3o$33bo3bo37bo3bo
3bo3bo52bo4bo2bo9b2o3b2o$31bo2b3o37bo5bobo5bo56bobo$31bo41bo3bo7bo3bo
28b2o5b2o$30bo42bo2bobo5bobo2bo28b2o5b2o20b2o$73bo3bo7bo3bo$74bo5bobo
5bo$75bo3bo3bo3bo$76b3o5b3o2$78b2o3b2o!

[Sokwe]

but if we really want a specific p7, we can almost always find it.

Partials of periods 28, 35, 49 (must also remove blocks), and 77

The first two don't work at p7, at least not without a complex secondary interaction. Here is a proof of concept for the p49:

Code: Select all

x = 114, y = 53, rule = B3/S23
2obo15bob2o$ob6o3bo3b6obo$6b3o5b3o$4bo5b3o5bo$3bobo2b2obob2o2bobo$3bo
15bo$b3ob3obobobob3ob3o$o3b2o2bob3obo2b2o3bo$3o4bobo3bobo4b3o$3b3obo7b
ob3o$2bo2bobo2bobo2bobo2bo$2b2o5b5o5b2o$6b11o$8b2o3b2o55b3o21b3o$69b2o
bo21bob2o$6b3o5b3o42b2o7b4o23b4o7b2o$5bo3bo3bo3bo41b2o45b2o$4bo5bobo5b
o59bo9bo$3bo3bo7bo3bo37b4o17b2o7b2o17b4o$3bo2bobo5bobo2bo36bo3bo12b2o
3b2o7b2o3b2o12bo3bo$3bo3bo7bo3bo36bob2o18b2o7b2o18b2obo$4bo5bobo5bo37b
o2b2o5bo33bo5b2o2bo$5bo3bo3bo3bo38bo3b2obobo35bobob2o3bo$6b3o5b3o40b2o
4bo3bo5b2o17b2o5bo3bo4b2o$57bobo3b2ob4o3b2o17b2o3b4ob2o3bobo$55b2obo2b
2o3bo4bo23bo4bo3b2o2bob2o$35bobobo13bo3bo8b2obobo23bobob2o8bo3bo$55b2o
bo2b2o3bo4bo23bo4bo3b2o2bob2o$57bobo3b2ob4o3b2o17b2o3b4ob2o3bobo$6b3o
5b3o40b2o4bo3bo5b2o17b2o5bo3bo4b2o$5bo3bo3bo3bo38bo3b2obobo35bobob2o3b
o$4bo5bobo5bo37bo2b2o5bo33bo5b2o2bo$3bo3bo7bo3bo36bob2o18b2o7b2o18b2ob
o$3bo2bobo5bobo2bo36bo3bo12b2o3b2o7b2o3b2o12bo3bo$3bo3bo7bo3bo37b4o17b
2o7b2o17b4o$4bo5bobo5bo59bo9bo$5bo3bo3bo3bo41b2o45b2o$6b3o5b3o42b2o7b
4o23b4o7b2o$69b2obo21bob2o$8b2o3b2o55b3o21b3o$6b11o$2b2o5b5o5b2o$2bo2b
obo2bobo2bobo2bo$3b3obo7bob3o$3o4bobo3bobo4b3o$o3b2o2bob3obo2b2o3bo$b
3ob3obobobob3ob3o$3bo15bo$3bobo2b2obob2o2bobo$4bo5b3o5bo$6b3o5b3o$ob6o
3bo3b6obo$2obo15bob2o!

and the p77:

Code: Select all

x = 54, y = 40, rule = B3/S23
14b4o6b4o$14bo3bo4bo3bo$18bo4bo$16bob6obo$15b2o2bo2bo2b2o$15b3o6b3o2$
20b2o$16bobob2obobo$17bo6bo$16bo8bo2$18bo4bo$20b2o20b2o5b2o$42b2o5b2o$
21bobo$4b2o3b2o9bo2bo4bo$2b3obobob3o3bob2o4bo3bobo11b3o3b3o$bo2bobobob
o2bo2bo3bob2o4bob3o7bo4bobo4bo$o3bobobobo3bobob3obo22bobo$6bobo22bob3o
bobo3bobobobo3bo$bo4bobo4bo7b3obo4b2obo3bo2bo2bobobobo2bo$3b3o3b3o11bo
bo3bo4b2obo3b3obobob3o$25bo4bo2bo9b2o3b2o$30bobo$3b2o5b2o$3b2o5b2o20b
2o$30bo4bo2$28bo8bo$29bo6bo$28bobob2obobo$32b2o2$27b3o6b3o$27b2o2bo2bo
2b2o$28bob6obo$30bo4bo$26bo3bo4bo3bo$26b4o6b4o!

The rest is left as an exercise to any reader who really wants these. They look solvable to me, but it might take as much work as the p28 gun.

[83bismuth38]

I was messing about with alternate bushing cells for stillater, and found a few alternate stabilizations that don't all have the same rulespace:

Code: Select all

x = 40, y = 9, rule = LifeHistory
14.A20.2A$5.2A6.A.A4.2A3.2A9.A$2.2A2.A6.A2.A3.A.A.A2.A8.A.2A$.A.E.A4.
2A.2E.A5.E.EA2.A2.2A2.2E2.A$A2.B.EA4.A.B2.2A3.A.B2.2A3.A2.B2.2A$A.2EB
2.A3.A.EBE5.A.EBE6.A2EBE$.A3.EA5.E2.E6.E2.E10.E$2.3A8.2A8.2A7.2A.A$4.
A27.2A.2A!

there are almost definitely more, but that second one popped out at me...

Code: Select all

x = 8, y = 8, rule = B3/S23
4bo$3bobo$3bo2bo$2ob2obo$bo4b2o$bobobo$2bo2bo$3b2o!

reason being, it's only got 20 cells, and since pentadecathlon.com is down (for me, at least), I'm not sure if it's known or not.

[Hdjensofjfnen]

there are almost definitely more, but that second one popped out at me...

Code: Select all

x = 8, y = 8, rule = B3/S23
4bo$3bobo$3bo2bo$2ob2obo$bo4b2o$bobobo$2bo2bo$3b2o!

reason being, it's only got 20 cells, and since pentadecathlon.com is down (for me, at least), I'm not sure if it's known or not.

It is indeed listed on the pentadecathlon.com website, as 20P3.217.

[mniemiec]

I was messing about with alternate bushing cells for stillater, and found a few alternate stabilizations that don't all have the same rulespace: ... there are almost definitely more, but that second one popped out at me... reason being, it's only got 20 cells, and since pentadecathlon.com is down (for me, at least), I'm not sure if it's known or not.

All still-lifes (and pseudo-still-lifes) have been exhaustively searched by computer up to a population of 34, and all period 2 and 3 oscillators (and pseudo-oscillators) have been exhaustively searched by computer up to a population of 21, so if you find one up to those populations, it's definitely known. (As far as I know, nobody has attempted systematic and exhaustive searches for oscillators of higher periods above 12 bits).

I had enumerated the period 3s up to 20 bits by hand, and the subsequent computer search (that I think was done by Gabriel Nivasch?) found around 10 more that I had missed. Similar with the 21 bit ones; I had most of them, and the subsequent computer search found a similar number of additional ones.

[hotdogPi]

I found this p24. I thought it was new, but it turns out just to be the block-phase-shifted p18 that was found earlier.

Code: Select all

x = 41, y = 47, rule = B3/S23
20b2o$19bobo$19bo$17b2ob4o$13b2obobobo2bo$13b2obob2o4b2o$16bobob4o2bo$
16bob2obo2b2obo$17bo4bo4bo$18b3o3b3o$20bobobo$21b3o6b2o3bo$29bo2bobobo
2bo$29bob2obob4o$28b2o4bo$27bo2bob2obob3o$19b3o4b3o2bobobo4bo$19bobo4b
3o4bob2o2b2o$19bo2bo3b3o4b3o$20bobo3b3ob2o4bo$20b3o4bo3bobob2o$28b2obo
bo$10bo18bobo2b3o$4bo4bobo17bobo4bo$4b3o2bobo18bo$7bobob2o$4b2obobo3bo
4b3o$4bo4b2ob3o3bobo$5b3o4b3o3bo2bo$2o2b2obo4b3o4bobo$o4bobobo2b3o4b3o
$b3obob2obo2bo$6bo4b2o$b4obob2obo$bo2bobobo2bo$5bo3b2o6b3o$16bobobo$
14b3o3b3o$13bo4bo4bo$13bob2o2bob2obo$14bo2b4obobo$15b2o4b2obob2o$17bo
2bobobob2o$17b4ob2o$21bo$19bobo$19b2o!

Partials:

p30 B factory (Bs are being suppressed by blocks)

Code: Select all

x = 28, y = 29, rule = B3/S23
11b8o$11bob4obo$11b8o6$16b3o$16b3o$14bo5bo5b2o$14bobobobo5b2o$8b3o$8b
3o4bobobobo$4bobo5bo2bo5bobo$6bobobobo4b3o$17b3o$2o5bobobobo$2o5bo5bo$
9b3o$9b3o6$9b8o$9bob4obo$9b8o!

p50

Code: Select all

x = 28, y = 56, rule = B3/S23
12b2o4b2o$11bobo4bobo$11bo8bo$8b2ob2o6b2ob2o$9bobo2b4o2bobo$8bo2bobo4b
obo2bo$8bobo2bob2obo2bobo$6b3ob2obo4bob2ob3o$5bo7bo4bo7bo$5bo2b5obo2bo
b5o2bo$4b2obo6bo2bo6bob2o$5bob2ob2ob2o2b2ob2ob2obo$5bo5bo8bo5bo$6b3o3b
2ob2ob2o3b3o$8bo3b8o3bo$14b4o7$16bo$14b2ob2o$14b2ob2o2$15b2ob2o$6bo3bo
4b2ob2o$8b2ob2o4bo3bo$8b2ob2o2$9b2ob2o$9b2ob2o$11bo7$10b4o$4bo3b8o3bo$
2b3o3b2ob2ob2o3b3o$bo5bo8bo5bo$bob2ob2ob2o2b2ob2ob2obo$2obo6bo2bo6bob
2o$bo2b5obo2bob5o2bo$bo7bo4bo7bo$2b3ob2obo4bob2ob3o$4bobo2bob2obo2bobo
$4bo2bobo4bobo2bo$5bobo2b4o2bobo$4b2ob2o6b2ob2o$7bo8bo$7bobo4bobo$8b2o
4b2o!

p75

Code: Select all

x = 33, y = 44, rule = B3/S23
25b3o$25b3o$26bo$26bo$26bo$25bobo3$25bobo$26bo$26bo$26bo$25b3o$25b3o4$
18bo$5bobo10bo2b3o$3b2o13bo8b2o$2bo24bobo$obobo22bo2bo$2bo2bo22bobobo$
3bobo24bo$4b2o8bo13b2o$9b3o2bo10bobo$14bo4$5b3o$5b3o$6bo$6bo$6bo$5bobo
3$5bobo$6bo$6bo$6bo$5b3o$5b3o!

p103 (Kazyan already tried Bellman on it and found nothing)

Code: Select all

x = 40, y = 38, rule = LifeHistory
13.A$12.A.A$12.A.A$10.3A.2A$9.A$10.3A.2A$12.A.2A4$10.2A$12.A12.2A$10.
3A12.2A5.C$10.A2.2A18.C$2A8.3A.2A2.2A9.A3.C$2A7.A4.4A2.A6.2A.2A$17.A.
A7.2A$8.A5.A3.A$8.A17.A.A$11.A.A17.A$21.A3.A5.A$11.2A7.A.A$8.2A.2A6.A
2.4A4.A7.2A$6.C3.A9.2A2.2A.3A8.2A$6.C18.2A2.A$7.C5.2A12.3A$13.2A12.A$
28.2A4$24.2A.A$24.2A.3A$30.A$24.2A.3A$25.A.A$25.A.A$26.A!

p104

Code: Select all

x = 117, y = 28, rule = B3/S23
14b2o13b2o42b2o$10b2obo2bo3b2ob2o3bo2bob2o25bo12bo$11bob3obo2b2ob2o2bo
b3obo37bobo$8b3o6bo9bo6b3o23b3o8b2o$8bo2b6ob9ob2ob3o2bo23b3o$10bo7bo7b
obobo2bo7bo17bobo$bo8b2o2b3o4b3o3b3o2bo9bo15b4o3b2o$o3b2o6b4o5bo3bo3bo
2bo10bo12b3o2b2ob2o$o3bo5bo11bo6b5o2bo5bo17bo3b2o20b2o13b2o$o3bob2ob2o
11bo3bo3bobobo3b4o9b3obo3b5o18b2obo2bo3b2ob2o3bo2bob2o$o3bob2ob2o11bo
3bo3bobobo3b4o8b2obo2bo26bob3obo2b2ob2o2bob3obo$o3bo5bo11bo6b5o2bo5bo
7b2obo3bo8b2o12b3o6bo9bo6b3o$o3b2o6b4o5bo3bo3bo2bo10bo6b3o6bo2bo4b2o
11bo2b3ob2ob9ob6o2bo$bo8b2o2b3o4b3o3b3o2bo9bo7b2o2bo4bo2bo2bo9bo7bo2bo
bobo7bo7bo$10bo7bo7bobobo2bo7bo9bo2bo2bo4bo2b2o7bo9bo2b3o3b3o4b3o2b2o
8bo$8bo2b6ob9ob2ob3o2bo11b2o4bo2bo6b3o6bo10bo2bo3bo3bo5b4o6b2o3bo$8b3o
6bo9bo6b3o12b2o8bo3bob2o7bo5bo2b5o6bo11bo5bo3bo$11bob3obo2b2ob2o2bob3o
bo26bo2bob2o8b4o3bobobo3bo3bo11b2ob2obo3bo$10b2obo2bo3b2ob2o3bo2bob2o
18b5o3bob3o9b4o3bobobo3bo3bo11b2ob2obo3bo$14b2o13b2o20b2o3bo17bo5bo2b
5o6bo11bo5bo3bo$51b2ob2o2b3o12bo10bo2bo3bo3bo5b4o6b2o3bo$50b2o3b4o15bo
9bo2b3o3b3o4b3o2b2o8bo$55bobo17bo7bo2bobobo7bo7bo$54b3o23bo2b3ob2ob9ob
6o2bo$44b2o8b3o23b3o6bo9bo6b3o$43bobo37bob3obo2b2ob2o2bob3obo$43bo12bo
25b2obo2bo3b2ob2o3bo2bob2o$42b2o42b2o13b2o!

p124, and not the one already known

Code: Select all

x = 66, y = 40, rule = B3/S23
50b2o7b2o$50b2o7b2o3$27b2o2$29b3o$29bo2bo14bobo11bobo$29bo16bo2b2o9b2o
2bo$30b3o16b3o7b3o$48bo2b2o5b2o2bo$45bo2bob3o5b3obo2bo$45bo2bob3o5b3ob
o2bo$31bo16bo2b2o5b2o2bo$30b2o17b3o7b3o$25b2o3b2o8bo5bo2b2o9b2o2bo$5b
2o7b2o9b2o12bobo5bobo11bobo$5b2o7b2o13b3o8bo5$25bo8b3o13b2o7b2o$2bobo
11bobo5bobo12b2o9b2o7b2o$bo2b2o9b2o2bo5bo8b2o3b2o$4b3o7b3o17b2o$3bo2b
2o5b2o2bo16bo$o2bob3o5b3obo2bo$o2bob3o5b3obo2bo$3bo2b2o5b2o2bo$4b3o7b
3o16b3o$bo2b2o9b2o2bo16bo$2bobo11bobo14bo2bo$34b3o2$37b2o3$5b2o7b2o$5b
2o7b2o!

Another interesting p124, this time a flipper (mod 62). The left/right sparks simply need a double domino sparker that sparks each half in opposite phase. The top/bottom is more tricky; a p4 is needed that suppresses the junk in exactly the correct way. Luckily, p4 is very searchable.

Code: Select all

x = 47, y = 19, rule = B3/S23
36b2o$2bobo$2bo3b3o29bo$o8bo26b3o$o3b2o4bo$6bo3bo33bo$10bo27bo4bo$7b3o
26b2o6bo$38bo$7b3o$6bo37bo$6bo3bo27bo6b2o$6bo4b2o3bo22bo4bo$7bo8bo21bo
$8b3o3bo$12bobo29b3o$44bo2$45b2o!

[ihatecorderships]

p30 B factory (Bs are being suppressed by blocks)

Code: Select all

x = 28, y = 29, rule = B3/S23
11b8o$11bob4obo$11b8o6$16b3o$16b3o$14bo5bo5b2o$14bobobobo5b2o$8b3o$8b
3o4bobobobo$4bobo5bo2bo5bobo$6bobobobo4b3o$17b3o$2o5bobobobo$2o5bo5bo$
9b3o$9b3o6$9b8o$9bob4obo$9b8o!

QB shuttles almost work, but the B's interfere:

Code: Select all

x = 32, y = 37, rule = B3/S23
2b2o$2b2o3$13b8o$13bob4obo$13b8o$2b3o2$2bobo$b5o$2o3b2o$2o3b2o11b3o$
18b3o$16bo5bo$3bo12bobobobo5b2o$4b2o4b3o13bo2bo$10b3o4bobobobo$6bobo5b
o2bo5bobo$8bobobobo4b3o$2bo2bo13b3o4b2o$2b2o5bobobobo12bo$9bo5bo$11b3o
$11b3o11b2o3b2o$25b2o3b2o$26b5o$27bobo2$27b3o$11b8o$11bob4obo$11b8o3$
28b2o$28b2o!

[Bullet51]

Not related, but a dimerization of a previously known p6:

Code: Select all

x = 44, y = 27, rule = LifeHistory
23.2A$24.A$23.A$23.2A8.2A$25.A7.A$23.2A2.2A.2A.A$17.A.2A.A2.2A.A.A.A$
17.2A.A.A.A2.2B.BA$2.2A6.A10.A.A.ABA5B$3.A4.3A12.A.B.A2.B2C7.A$2.A4.A
14.A.B2A4.2C5.3A$2.2A3.2A13.2A2B7.2CB.A$5.4B16.B7.2CBA.A$2.2A3B7.2A6.
2A3B7.3B2A$2.A.AB2C6.A7.A.AB2C7.B$3.A.B2C3.BA.A8.A.B2C7.2B2A$3A5.2C.B
2A6.3A5.2C4.2AB.A$A7.2C2B8.A7.2CB2.A.B.A$8.4B16.5BABA.A.A$9.AB18.AB.
2B2.A.A.A.2A$8.A.A.A.2A12.A.A.A.2A2.A.2A.A$7.A.2A.2A.A11.A.2A.2A2.2A$
7.A19.A7.A$6.2A18.2A8.2A$37.A$36.A$36.2A!

And a p10:

Code: Select all

x = 25, y = 25, rule = B3/S23
11b2o4b2o$12bo4bo$11bo6bo$11b2o4b2o$14b2o$7bo3b2obob3o$6bobobobobobo2b
ob2obo$5bo2bobo3bo4bobob2o$6b3obo7b2o$10b2obo6bo$6b4o3bo3b4o$ob2obo3bo
4b2o$2obob2o11b2obob2o$9b2o4bo3bob2obo$4b4o3bo3b4o$4bo6bob2o$5b2o7bob
3o$2obobo4bo3bobo2bo$ob2obo2bobobobobobo$6b3obob2o3bo$9b2o$6b2o4b2o$6b
o6bo$7bo4bo$6b2o4b2o!

[Gustone]

never seen this one before

Code: Select all

x = 48, y = 70, rule = B3/S23
23b2o$22bo2bo$23b2o$20b3o2b3o$20bo3bo2bo5b2o$21b2o3bo5bo2bo$13b2o10bo
5bob2obo$3b2o7bo2bo7bo8bo2bo$2bo2bo7b2o8bo9bo$3b2o5b3o2b3o7bo9bo$3o2b
3o2bo2bo3bo3b2o8b2o10b2o$o2bo3bo3bo3b2o8b2o8b2o5bo2bo$bo3b2o5bo9bo9bo
8bob2obo$2bo11bo9bo9bo7bo2bo$4bo9bo9bo9bo9bo$2bo9bo9bo9bo9bo$bo3b2o4bo
3b2o4bo3b2o4bo3b2o4bo3b2o$o2bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bo$
3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o$3b2o8b2o8b2o8b2o8b2o$2bo2bo6bo
2bo6bo2bo6bo2bo6bo2bo$3b2o8b2o8b2o8b2o8b2o3$13b2o8b2o8b2o$12bo2bo6bo2b
o6bo2bo$13b2o8b2o6bob2obo$10b3o2b3o2b3o2b3o4bo2bo$10bo2bo3bo2bo3bo2bo
6bo$11bo3b2o4b2o3bo5bo$12bo12bo9b2o$14bo8bo7b2o$13bo10bo10bo$15bo6bo
10bo$11b2o3bo8b2o7bo$10bo3bo2bo3b2o9bo$10b3o2b3o7bo5bo3b2o$13b2o8bo6bo
2bo3bo$12bo2bo7bo6b3o2b3o$13b2o10bo7b2o$21b2o3bo5bo2bo$20bo3bo2bo5b2o$
20b3o2b3o$23b2o$22bo2bo$23b2o3$23b2o$22bo2bo$23b2o$20b3o2b3o$20bo2bo3b
o$21bo3b2o$22bo$24bo$23bo$25bo$21b2o$25b2o$22bo$24bo$23bo$25bo$21b2o3b
o$20bo3bo2bo$20b3o2b3o$23b2o$22bo2bo$23b2o!

[hotdogPi]

Here's a p10. As it's a pentadecathlon hassler, it should be possible for 10+15n given the right sparkers, but I can't get it to work with Beluchenko's p40.

Code: Select all

x = 19, y = 26, rule = B3/S23
4b2o4b2o$4bobo2bobo$6bo2bo$5bo4bo$5b2o2b2o$7b2o4$2o6b3o6b2o$o2b3o2bobo
2b3o2bo$b2o5b3o5b2o$6bob3obo$6bob3obo$b2o5b3o5b2o$o2b3o2bobo2b3o2bo$2o
6b3o6b2o4$10b2o$8b2o2b2o$8bo4bo$9bo2bo$7bobo2bobo$7b2o4b2o!

p16 phi spark hassler

Code: Select all

x = 33, y = 37, rule = B3/S23
13b2o3b2o$12b2obobob2o$11b3obobob3o$10bo3b2ob2o3bo$10bo11bo$11bo9bo2$
14b2ob2o$13bobobobo$14bo3bo2$5b2o$4bo2bo$5bo2bo5b2o10b2o$bo6bo4bo11bo
2bo$obo3bo2bo4b3o7bo2bo$b2o3b3o6bo8bo6bo$23bo2bo3bobo$b2o3b3o15b3o3b2o
$obo3bo2bo$bo6bo8bo6b3o3b2o$5bo2bo7b3o4bo2bo3bobo$4bo2bo11bo4bo6bo$5b
2o10b2o5bo2bo$25bo2bo$26b2o2$14bo3bo$13bobobobo$14b2ob2o2$11bo9bo$10bo
11bo$10bo3b2ob2o3bo$11b3obobob3o$12b2obobob2o$13b2o3b2o!

The two most likely to be completed partials:
A p120 Z-hexomino flipper. Banana sparks are shown; a few other configurations work. Works at any compatible period 6+ except 15 (it interferes at generations 45 and 52, preventing 5 and 4 respectively).

Code: Select all

x = 17, y = 10, rule = B3/S23
o15bo$o15bo$bo2b2ob2o6bo$3bo3b2o$3bo3bo3b2o$4b2o3bo3bo$8b2o3bo$bo6b2ob
2o2bo$o15bo$o15bo!

p5 (or p7) obo sparker needed. That's it. (p35)

Code: Select all

x = 53, y = 19, rule = B3/S23
38bo$37bobob2o$37bobob2o$24bobo9b2obo8b2o$36bo2b4o5bo$b2o4b2ob2o13b2o
3b2o5b2o3bo6bo$2bo4bob2obo11b3o3bobo3bo2b3o6b2o$2bob2obo4bo11bo11b2obo
2bo2b2o3b2o$2o2bobob4ob2o10b4o3bo4bobo2bo5b2o2bo$bobo2bobo4bobo5b4o3b
4o5bobo4bobo2bobo$o2b2o5bo2bobo4bo3b4o10b2ob4obobo2b2o$b2o3b2o2bo2bob
2o11bo11bo4bob2obo$3b2o6b3o2bo3bobo3b3o11bob2obo4bo$3bo6bo3b2o5b2o3b2o
13b2ob2o4b2o$4bo5b4o2bo$3b2o8bob2o9bobo$10b2obobo$10b2obobo$14bo!

Other partials:
p15; the tricky part is the generation before the spark

Code: Select all

x = 19, y = 16, rule = B3/S23
3o3bo$bo$bo5b3o$3o7b2o$10b2o4b3o$3o7b2o5bo$3o4b3o7bo$9bo6b3o$3o6bo$bo
7b3o4b3o$bo5b2o7b3o$3o4b2o$7b2o7b3o$9b3o5bo$17bo$12bo3b3o!

p21

Code: Select all

x = 47, y = 18, rule = B3/S23
14bo$10b2obobo$10b2obobo8b2o$3b2o8bob2o$4bo5b4o4bo4bo11b2ob2o4b2o$3bo
5bo4b3obo4b2o9bob2obo4bo$3b2o2b3o2b2o4bo5bo9bo4bob2obo$b2o3bob2obobob
2o5b2o8b2ob4obobo2b2o$o2b2obob2o2b2obo6b3o6bobo4bobo2bobo$bobo2bobo4bo
bo6b3o6bob2o2b2obob2o2bo$2o2bobob4ob2o8b2o5b2obobob2obo3b2o$2bob2obo4b
o9bo5bo4b2o2b3o2b2o$2bo4bob2obo9b2o4bob3o4bo5bo$b2o4b2ob2o11bo4bo4b4o
5bo$30b2obo8b2o$21b2o8bobob2o$31bobob2o$32bo!

p24

Code: Select all

x = 16, y = 40, rule = B3/S23
7b2o$3b2obobo$4bobo$4bobo$3b2o3bob2ob2o$2bo3b4obobo$3b3o3bo3bo$6b4ob2o
$3b2obo$2bobo2bo2b5o$2bo3bo3bo4bo$3b3o6b3o$5bob4obo$6b6o$7b4o3$7b2o$6b
o2bo$6bo2bo$4bobo2bo$4bo2b2o4$5b4o$4b6o$3bob4obo$b3o6b3o$o4bo3bo3bo$b
5o2bo2bobo$9bob2o$3b2ob4o$2bo3bo3b3o$2bobob4o3bo$b2ob2obo3b2o$9bobo$9b
obo$7bobob2o$7b2o!

p26

Code: Select all

x = 39, y = 32, rule = B3/S23
5bo$3b5o$2bo5bo$2bo2b3o13b2o$b2obo16bo$o3b2o13bobo$bobo2b2o7b2ob3o$2ob
5o6bo2b2o$8bo4b6o$2ob5o6bo2bo$bobo2b2o7b2o$o3b2o$b2obo13bobo$2bo2b3o8b
2o$2bo5bo6bob2ob3o$3b5o7bo5b3obo7bo$5bo7bob3o5bo7b5o$16b3ob2obo6bo5bo$
21b2o8b3o2bo$18bobo13bob2o$33b2o3bo$22b2o7b2o2bobo$21bo2bo6b5ob2o$20b
6o4bo$20b2o2bo6b5ob2o$18b3ob2o7b2o2bobo$17bobo13b2o3bo$17bo16bob2o$16b
2o13b3o2bo$30bo5bo$31b5o$33bo!

p45

Code: Select all

x = 21, y = 37, rule = B3/S23
4b6o$3bo6bo$2bo8bo$3bo6bo$4b6o3$19b2o$19bo$6bob3o6bobo$8bobo6b2o$8bo2b
o$9bobo$9b3o10$9b3o$9bobo$9bo2bo$2b2o6bobo$bobo6b3obo$bo$2o3$11b6o$10b
o6bo$9bo8bo$10bo6bo$11b6o!

p48 flipper

Code: Select all

x = 21, y = 22, rule = B3/S23
o19bo$3o15b3o$3bo13bo$2b2o13b2o$9bo$7bo2bo$6b2ob2o$5bo3bo$5b2obo$3bo2b
ob2o$3bo3b2o$12b2o3bo$11b2obo2bo$12bob2o$11bo3bo$10b2ob2o$10bo2bo$11bo
$2b2o13b2o$3bo13bo$3o15b3o$o19bo!

p120 flipper

Code: Select all

x = 45, y = 38, rule = LifeHistory
2A3.A2.A3.2A17.2A3.A2.A3.2A$5A4.5A17.5A4.5A$2A3.A2.A3.2A17.2A3.A2.A3.
2A$19.2C.C.2C2$21.A2.2A$3.2A4.2A9.A13.2A4.2A$2.A8.A8.2A4.A6.A8.A$.A2.
A4.A2.A9.3A.A5.A2.A4.A2.A$2.A8.A7.3A.2A8.A8.A$3.2A4.2A9.2A12.2A4.2A2$
18.A$19.A$23.A$23.A7$21.A$21.A$25.A$26.A2$3.2A4.2A12.2A9.2A4.2A$2.A8.
A8.2A.3A7.A8.A$.A2.A4.A2.A5.A.3A9.A2.A4.A2.A$2.A8.A6.A4.2A8.A8.A$3.2A
4.2A13.A9.2A4.2A$19.2A2.A2$19.2C.C.2C$2A3.A2.A3.2A17.2A3.A2.A3.2A$5A
4.5A17.5A4.5A$2A3.A2.A3.2A17.2A3.A2.A3.2A!

p139 which is prime but emits six gliders that could be reflected

Code: Select all

x = 39, y = 48, rule = B3/S23
9bo$8bobo$8bobo$9bo12$14bo$13b3o$12bo3bo20b2o$12bo3bo6bo13bo$12b2o3bo
4b3o10bobo$12b3o6bo3bo9b2o$9bob2o2b2ob3o4bo$11b5o2b3obo3bo$13b2o6b3ob
2o$12b2ob3o6b2o$12bo3bob3o2b5o$13bo4b3ob2o2b2obo$2b2o9bo3bo6b3o$bobo
10b3o4bo3b2o$bo13bo6bo3bo$2o20bo3bo$23b3o$24bo12$29bo$28bobo$28bobo$
29bo!

This was originally a p187 gun, but it doesn't work at p11. However, the junk shown simply needs to become a specific pi cousin in 5 generations; once we have something that does that plus a working sparker at the top and bottom (it's going to need to be high-period because the loaf stays there for a while), we can have a glider gun of whatever period was found.

Code: Select all

x = 24, y = 37, rule = B3/S23
7bo2$8b2o$7bo2bo$8bobo$9bo3b2o$13bobo$14bo$7b2o$6bo2bo$5b3ob2o$6b2ob2o
$7b2obo$8b2o$7b2o$6b2o$6b2o14bo$21bobo2$obo$bo14b2o$16b2o$15b2o$14b2o$
13bob2o$13b2ob2o$13b2ob3o$14bo2bo$15b2o$9bo$8bobo$9b2o3bo$13bobo$13bo
2bo$14b2o2$16bo!

[iNoMed]

And here's a modification of one of hotdogPi's P10 traffic-light hasslers into a blinker hassler, found while attempting to create a monomer:

Code: Select all

x = 16, y = 23, rule = B3/S23
9b2o$9b2o$2o$o2b3o$b2o$6bo2b3o2b2o$6bo7b2o$b2o6bobo$o2b3o4bo$2o2$10b3o
2$2o$o2b3o3b3o$b2o5bo4b2o$6bobo6bo$6bobo6bo$b2o6b3o2bo$o2b3o$2o$9b2o$
9b2o!

[Bullet51]

And here's a modification of one of hotdogPi's P10 traffic-light hasslers into a blinker hassler, found while attempting to create a monomer:

Code: Select all

x = 16, y = 23, rule = B3/S23
9b2o$9b2o$2o$o2b3o$b2o$6bo2b3o2b2o$6bo7b2o$b2o6bobo$o2b3o4bo$2o2$10b3o
2$2o$o2b3o3b3o$b2o5bo4b2o$6bobo6bo$6bobo6bo$b2o6b3o2bo$o2b3o$2o$9b2o$
9b2o!

It is half of a p10 traffic light hassler:

Code: Select all

x = 17, y = 23, rule = B3/S23
5b2o3b2o$5b2o3b2o4$2o2b3o3b3o2b2o$2o13b2o$4bobo3bobo$5bo5bo3$3b3o5b3o
3$4b3o3b3o$b2o4bobo4b2o$o6bobo6bo$o6bobo6bo$bo2b3o3b3o2bo3$5b2o3b2o$5b
2o3b2o!

[hotdogPi]

p16 traffic light hassler

Code: Select all

x = 100, y = 55, rule = B3/S23
45bo2bob2obo2bo$45b4ob2ob4o$43b2o12b2o$42bo3b2ob4ob2o3bo$43b3obobo2bob
ob3o$45bobobo2bobobo$45b3o2b2o2b3o$46bo8bo$46b10o$42b2o14b2o$42bo2bobo
b4obobo2bo$43b2o3b2o2b2o3b2o$46b2o6b2o$43b2o3b6o3b2o$42bo2bob8obo2bo$
42b2o14b2o$47bo6bo$13b2o13b2o17b8o$9b2obo2bo3b2ob2o3bo2bob2o15b4o4b2o
11b2o13b2o$10bob3obo2b2ob2o2bob3obo24bo8b2obo2bo3b2ob2o3bo2bob2o$7b3o
6bo9bo6b3o19bobo9bob3obo2b2ob2o2bob3obo$7bo2b6ob9ob6o2bo19b2o7b3o6bo9b
o6b3o$10bo2bo3bo7bo7b2o15b3o11bo2b6ob9ob6o2bo$bo8b4o2b2o3b2o4bo3b3o16b
obo12b2o7bo7bo3bo2bo$2o18bobo4bo2b2obo4b2o2b2o6b3o13b3o3bo4b2o3b2o2b4o
8bo$b4o9bo6b2o6b2ob3o2bob2ob3o11b2o2b2o4bob2o2bo4bobo18b2o$bo3b2ob2o
10b3o9bo3b2ob2ob3o10b3ob2obo2b3ob2o6b2o6bo9b4o$bo3b2ob2o10b3o9bo3b2ob
2ob3o10b3ob2ob2o3bo9b3o10b2ob2o3bo$b4o9bo6b2o6b2ob3o2bob2ob3o10b3ob2ob
2o3bo9b3o10b2ob2o3bo$2o18bobo4bo2b2obo4b2o2b2o11b3ob2obo2b3ob2o6b2o6bo
9b4o$bo8b4o2b2o3b2o4bo3b3o13b3o6b2o2b2o4bob2o2bo4bobo18b2o$10bo2bo3bo
7bo7b2o12bobo16b3o3bo4b2o3b2o2b4o8bo$7bo2b6ob9ob6o2bo11b3o15b2o7bo7bo
3bo2bo$7b3o6bo9bo6b3o7b2o19bo2b6ob9ob6o2bo$10bob3obo2b2ob2o2bob3obo9bo
bo19b3o6bo9bo6b3o$9b2obo2bo3b2ob2o3bo2bob2o8bo24bob3obo2b2ob2o2bob3obo
$13b2o13b2o11b2o4b4o15b2obo2bo3b2ob2o3bo2bob2o$45b8o17b2o13b2o$45bo6bo
$40b2o14b2o$40bo2bob8obo2bo$41b2o3b6o3b2o$44b2o6b2o$41b2o3b2o2b2o3b2o$
40bo2bobob4obobo2bo$40b2o14b2o$44b10o$44bo8bo$43b3o2b2o2b3o$43bobobo2b
obobo$41b3obobo2bobob3o$40bo3b2ob4ob2o3bo$41b2o12b2o$43b4ob2ob4o$43bo
2bob2obo2bo!

p27 traffic light hassler

Code: Select all

x = 70, y = 47, rule = B3/S23
53b2o$53b2o4$55bo$54bobo$53b2obo$23bob2o4b2obo20bo$23b2o2bo2bo2b2o14b
2o7b3o$21b2o3bo4bo3b2o12b2o7b3o$20bo3b2ob4ob2o3bo11b2o$21b3obobo2bobob
3o$23bobobo2bobobo11b2o14bo5b2o$26bo4bo13bo2bo13b2o4b2o$27bo2bo9b2o4b
2o13bo2bo$27bo2bo9b2o5bo14b2o$13b2o$13b2o8b2o34b2o$24bo24b3o7b2o$24bob
o22b3o7b2o$25b2o27bo$15bo14bo8bo13bob2o$14bobo13bobo4bobo13bobo$13b2ob
o13bo8bo14bo$15bo27b2o$9b2o7b3o22bobo$9b2o7b3o24bo$9b2o34b2o8b2o$55b2o
$6b2o14bo5b2o9bo2bo$5bo2bo13b2o4b2o9bo2bo$2o4b2o13bo2bo13bo4bo$2o5bo
14b2o11bobobo2bobobo$33b3obobo2bobob3o$19b2o11bo3b2ob4ob2o3bo$9b3o7b2o
12b2o3bo4bo3b2o$9b3o7b2o14b2o2bo2bo2b2o$14bo20bob2o4b2obo$13bob2o$13bo
bo$14bo4$15b2o$15b2o!

Partials:

p11 domino sparker; the traffic light generated needs to be turned into the two dot sparks

Code: Select all

x = 14, y = 7, rule = B3/S23
5b4o$o3b6o3bo$2bo8bo$2bo8bo$2bo8bo$o3b6o3bo$5b4o!

p15

Code: Select all

x = 21, y = 9, rule = B3/S23
2o17b2o$bo17bo$bobo13bobo$2b2o13b2o$7bo5bo$7b2o3b2o$7bo5bo2$7b2o3b2o!

p17 (and very simple)

Code: Select all

x = 11, y = 22, rule = B3/S23
o$3o$3bo$2b2o2$5bo$4bobo$3bo3bobo$4bobo2bo$5bo3$5bo$bo2bobo$bobo3bo$4b
obo$5bo2$7b2o$7bo$8b3o$10bo!

p18

Code: Select all

x = 18, y = 37, rule = B3/S23
9bo$7b3o$6bo$6b6o$4b2o5bo$3bo3b2o$4b3obo$o$3o3b3o$3bo3bo$2bo2bo3bo$2b
7o$14b2o$4b5o$3bo5bo6bo$2bobo3b3o4bobo$3bo5bo4b2obo$4b5o7bo2$4b5o7bo$
3bo5bo4b2obo$2bobo3b3o4bobo$3bo5bo6bo$4b5o$14b2o$2b7o$2bo2bo3bo$3bo3bo
$3o3b3o$o$4b3obo$3bo3b2o$4b2o5bo$6b6o$6bo$7b3o$9bo!

unrelated p18

Code: Select all

x = 17, y = 25, rule = B3/S23
13bo$11b3o$10bo5bo$9bob6o$9bobo$o7b2o4b3o$3o7b3o3bo$3bo6bo4bo$2b2o7bo$
12bo2$2bob3o3b3o$4bobo3bobo$4b3o3b3obo2$4bo$5bo7b2o$bo4bo6bo$o3b3o7b3o
$3o4b2o7bo$5bobo$6obo$o5bo$3b3o$3bo!

p20

Code: Select all

x = 30, y = 46, rule = B3/S23
23bo$22bobo$22bobo$21b2obob2obo$20bo3bobob2o$20b2ob2o$20bo4bo$19bo2bob
2o$20bo$21b5o$26bo$9bo11b5o$9b3o8bo$12bo6bo2bob2o$11b2o7bo4bo$20b2ob2o
$20bo3bobob2o$8bo12b2obob2obo$10b3o3b3o3bobo$8bo13bobo$14bo8bo$13bobo$
16bo$13bo$14bobo$6bo8bo$5bobo13bo$5bobo3b3o3b3o$ob2obob2o12bo$2obobo3b
o$5b2ob2o$4bo4bo7b2o$4b2obo2bo6bo$9bo8b3o$4b5o11bo$3bo$4b5o$9bo$4b2obo
2bo$4bo4bo$5b2ob2o$2obobo3bo$ob2obob2o$5bobo$5bobo$6bo!

p24, probably already known

Code: Select all

x = 16, y = 9, rule = B3/S23
2o12b2o$bo12bo$bobo8bobo$2b2o8b2o$8bo$7b2o$8bo2$7b2o!

p25

Code: Select all

x = 15, y = 17, rule = B3/S23
2o$bo$bobo6bo$2b2o6bo$6b3o$6bobo$6b3o4$6b3o$6bobo$6b3o$4bo6b2o$4bo6bob
o$13bo$13b2o!

p28

Code: Select all

x = 26, y = 44, rule = B3/S23
20bo$18bo2bo$17bo5b2o$11b2o3bo8bo$11b2o3bo8bo$17b3ob2obo$19b2o2$19b2o$
17b3ob2obo$11b2o3bo8bo$6bo4b2o3bo8bo$6b3o8bo5b2o$9bo8bo2bo$8b2o10bo3$
8bo4b2o$8bo5b2o$8b3obobo$6bo3bobob2o$6bo2bo3b3o$10b3o3bo2bo$10b2obobo
3bo$11bobob3o$10b2o5bo$11b2o4bo3$5bo10b2o$4bo2bo8bo$b2o5bo8b3o$o8bo3b
2o4bo$o8bo3b2o$bob2ob3o$5b2o2$5b2o$bob2ob3o$o8bo3b2o$o8bo3b2o$b2o5bo$
4bo2bo$5bo!

unrelated p28

Code: Select all

x = 27, y = 44, rule = B3/S23
obo16bobo$2obo14bob2o$3bo2b2o6b2o2bo$2obobobo6bobobob2o$o2bobo10bobo2b
o$2b2o14b2o$3bo14bo$bobo14bobo$2bo4bob4obo4bo$6bo8bo$6bo8bo$7bob4obo3$
3b2o$4bo$4bobo2b3o$5b2o$13bo$13b3o$14bo$7bo8b2obo$7bob2o8bo$12bo$11b3o
$13bo$20b2o$15b3o2bobo$22bo$22b2o3$12bob4obo$11bo8bo$11bo8bo$7bo4bob4o
bo4bo$6bobo14bobo$8bo14bo$7b2o14b2o$5bo2bobo10bobo2bo$5b2obobobo6bobob
ob2o$8bo2b2o6b2o2bo$5b2obo14bob2o$5bobo16bobo!

Is there any way to get these dot sparks into position? It's a phase shifter; normally a pentadecathlon (actually a p45 LCM), but the phase shift advances it by 27 generations.

Code: Select all

x = 29, y = 26, rule = B3/S23
3bo$2bobo$2bobo$2o2b2o$bobo$o2b4o$obo4bo$bob3obo8bo$3bob2o18bo$3bob2o
6b3o8bobo$bob3obo5bobo8bobo$obo4bo5b3o7b2o2b2o$o2b4o6b3o9bobo$bobo9b3o
6b4o2bo$2o2b2o7b3o5bo4bobo$2bobo8bobo5bob3obo$2bobo8b3o6b2obo$3bo18b2o
bo$12bo8bob3obo$21bo4bobo$22b4o2bo$25bobo$23b2o2b2o$24bobo$24bobo$25bo
!