Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

[praosylen]

EDIT2: Smaller form:

Code: Select all

x = 10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bobo$o5b4o$6bobo!

5 cells:

Code: Select all

x = 10, y = 1, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o3b2obobo!

[wildmyron]

This final step in the p17 oscillator seems to be too simple to not be known, but I don't see it posted in the thread:

Code: Select all

x = 9, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$3bo$3b2o$8bo$2o$bo$2o$8bo$3b2o$3bo$5bo!

I think these two p9s are new, probably not very useful though:

Code: Select all

x = 24, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o3b2o$bo2bo2bo8b2o3b2o$2o5b2o7bo2bo2bo$4bo10b2o5b2o$4bo14bo$4bo14bo$
19bo2$4bo13bo$4bo13bo$4bo13bo$2o5b2o5b2o5b2o$bo2bo2bo7bo2bo2bo$b2o3b2o
7b2o3b2o!

[2718281828]

I was playing with rakes when I found a dirty SQRT-growth puffer:

Code: Select all

x = 15, y = 16, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$2bo$3o5bo$8b2o$7b2o$11b2o$10bob2o$11b2o2$13bo$13b2o$7bo4b2o$7b2o$b
o4b2o$b2o$2o!

Nice, but I think it is still a linear growth, just two bounding boxes have a sqrt-growth.
I am not sure if there is an easy way to get a sqrt-growth puffer.

[dani]

I meant that the puffer puffs sqrt patterns, my apologies.

Interesting reaction:

Code: Select all

x = 15, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13b2o$obobo8bo$13b2o!

I found a p6 sparker (EDIT: It's on catagolue. Therefore it's a rediscovery, however I don't think anyone noticed it):

Code: Select all

x = 11, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$o$6bo$bobob3o$6bo3bo$o$9bo!

It can almost be used for a duplicator, but the dots destroy the oscs. Here's a (useless (periodic)) reflector, though:

Code: Select all

x = 13, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$o$6bo$bobob3o$6bo3bo$o$9bo2$2bo$10b2o$9b2obo$10b2o3$9bo$o$6bo3bo$b
obob3o$6bo$o$9bo!

And a shuttle:

Code: Select all

x = 23, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo3bo$o21bo$6bo4bo4bo$bobob3o7b3obobo$6bo3b3o3bo$o10bo10bo$9bo3bo2$2b
o17bo$10b2o$9b2obo$10b2o3$9bo3bo$o10bo10bo$6bo3b3o3bo$bobob3o7b3obobo$
6bo4bo4bo$o21bo$9bo3bo!

[2718281828]

I found a p6 sparker (EDIT: It's on catagolue. Therefore it's a rediscovery, however I don't think anyone noticed it):

Code: Select all

x = 11, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$o$6bo$bobob3o$6bo3bo$o$9bo!

A related but different p6 sparker:

Code: Select all

x = 12, y = 6, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$4bo3bo$3b3ob2o$o3bo3bo$11bo$bo!

[2718281828]

An interesting, quite complex p110:

Code: Select all

x = 13, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2o3b2o$3bo5bo$2b2o2bo2b2o4$6bo4$o11bo2$bo3bobo3bo$3bo5bo$2b2o5b2o4$
6bo!

It involves something like temporary guns, maybe someone finds a way to construct a proper gun out of it.

Edit1:
And this p49 creates a huge snowflake-spark:

Code: Select all

x = 13, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2o3b2o$3bo2bo2bo$2b2o5b2o3$5b3o$o5bo5bo$3o7b3o$2bo7bo!

which can act as a reflector:

Code: Select all

x = 13, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2o3b2o$3bo2bo2bo$2b2o5b2o$6bo$6bo$5b3o$o4b3o4bo$3o3bo3b3o$2bo2b3o2bo
$4bo3bo$4bo3bo$3b2obob2o$4bo3bo$4b5o$6bo2$5bo$4b3o$4bobo$5bo!

[2718281828]

A new 180° R-to-G reflector that is slightly different to the standard ones in terms of timing/shifting:

Code: Select all

x = 38, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo9bo9bo$13bo9bo9bo$13b2o8b2o8b2o3$14bo9bo9bo$12b5o5b5o5b5o$12bo3bo
5bo3bo5bo3bo$11b2obob2o3b2obob2o3b2obob2o$12bo3bo5bo3bo5bo3bo$12b5o5b
5o5b5o$8bo5bo9bo9bo$6b5o$o5bo3bo$2bo2b2obob2o$b2o3bo3bo$6b5o$8bo5bo9bo
8bo$13b3o7b3o6b3o$13bo2bo6bo2bo5bo2bo!

[dani]

Very interesting, but couldn't the rightmost reflector just be flipped to accept the other input that the leftmost reflector does? It is still cool either way.

Interesting fast catalyst:

Code: Select all

x = 5, y = 9, rule = B2ci3ai4c8S02ae3eijkq4iz5ar6i7e
4bo$o$3bo$o3$2o$o$2bo!

Note how the rightmost two dots only interact for 5 generations. It appears to be quite fragile, though.

[2718281828]

Very interesting, but couldn't the rightmost reflector just be flipped to accept the other input that the leftmost reflector does? It is still cool either way.

Yes, it could if you are just interested in the timing, but the rightmost reflector changes the lane of the R/G. The left (new) reflector keeps the lane, whereas the rightmost one shifts it by 1.

Interesting fast catalyst:

Code: Select all

x = 5, y = 9, rule = B2ci3ai4c8S02ae3eijkq4iz5ar6i7e
4bo$o$3bo$o3$2o$o$2bo!

Nice, but I think, this constellation might be slightly more useful in practice:

Code: Select all

x = 5, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$3bo$o$4bo2$2o$o$2bo!

And a p8 dot-hassler, not sure if it is known or not:

Code: Select all

x = 12, y = 5, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o6bo$2bo6b3o$o2bo2bobo2bo$3o6bo$2bo6b2o!

With this extension:

Code: Select all

x = 14, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$b3o6bo$o2bo6b3o$bo5bo4bo$b3o6bo2bo$o2bo6b3o$bo4bo5bo$b3o6bo2bo$3bo
6b3o$12bo!

EDIT1:
Related p12, p24, p12, p12:

Code: Select all

x = 77, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$47b2o$25bo21bo2bo$6bo20bo18b2ob2o$8bo17b2o20bo$7b2o2$48bo2$2b2o9bo7b
2o9bo9b2o9bo8b2o9bo$3bo9b3o6bo9b3o8bo9b3o7bo9b3o$bo2bobo3bobo2bo4bo2bo
bo3bobo2bo6bo2bobo3bobo2bo5bo2bobo3bo4bo$b3o9bo6b3o9bo8b3o9bo7b3o9bo$
3bo9b2o7bo9b2o9bo9b2o8bo9b2o2$48bo2$8b2o$8bo18b2o19bo$10bo16bo18b2ob2o
$29bo16bo2bo$48b2o!

[2718281828]

Is this p19 double R-gun known?

Code: Select all

x = 13, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$9b3o$o5bo4bo$2bo8b2o$b2o3bo2$6bo$9b2o$9bo$11bo!

EDIT1:
It is based on the first reaction:

Code: Select all

x = 55, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo16bo22bo$9bo16bo22bo$9b2o15b2o21b2o$o5bo16bo21bo$2bo$b2o3bo16bo21b
o2$6bo16bo21bo$9b2o15b2o21b2o$9bo16bo22bo$11bo16bo22bo!

[dani]

Is this p19 double R-gun known?

Code: Select all

x = 13, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bo$9b3o$o5bo4bo$2bo8b2o$b2o3bo2$6bo$9b2o$9bo$11bo!

Fantastic find! Reducing it a bit makes it the smallest R-gun known, at 16-cells compared to the tie between the one you just found and the double barreled version of AbhpzTa's 18-cell p15 R-gun. Here is my reduction:

Code: Select all

x = 13, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$9bo$9b2o$o5bo$2bo$b2o3bo4bo2$6bo$9b2o$9bo$11bo!

[AbhpzTa]

p18 G gun:

Code: Select all

x = 29, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8b2o9b2o$6bo2bo9bo2bo$6b2ob2o7b2ob2o$o19bo7bo$22b3o$2bobobobo13bobo$
22b3o$o19bo7bo$6b2ob2o7b2ob2o$7bobo9bobo$5bo5bo5bo5bo$10b2o5b2o2$10b2o
5b2o$11bo2bo2bo$9bo3b3o3bo$14bo4$12bo3bo!

[2718281828]

p18 G gun:

Code: Select all

x = 29, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8b2o9b2o$6bo2bo9bo2bo$6b2ob2o7b2ob2o$o19bo7bo$22b3o$2bobobobo13bobo$
22b3o$o19bo7bo$6b2ob2o7b2ob2o$7bobo9bobo$5bo5bo5bo5bo$10b2o5b2o2$10b2o
5b2o$11bo2bo2bo$9bo3b3o3bo$14bo4$12bo3bo!

great!
And a p18 R-gun, nothing special, but it works:

Code: Select all

x = 65, y = 54, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$29bo3bo$31bo$30b3o$31bo2$26bo9bo$28bo2bo2bo$27b2o5b2o$31bo$27b2o5b2o$
22bo5bo2bo2bo5bo$24bobo9bobo$23b2ob2o7b2ob2o$17bo7bo19bo$19b2o3bobo6b
6o4bo$18bobo2b5o6bo2bo2bo2bo$19b2o3bobo6b6o4bo$17bo7bo19bo$23b2ob2o7b
2ob2o$24bo2bo2bobo3bo2bo$20bo3b2o4b3o3b2o$42bo3bo2$43b3o$22bo$17bo3b3o
$19bo2bo2b2o17bo4bo$18b2o5bo14b2o5bo$27bo2bobo8bobobob2o$12bo5b2o5b3o
2b3o6bo3b3o3bo$14bobo2bo5bo13b3obobob2o2bo2bo$13b2ob2o23bobobobo2bobo$
7bo35b3o3b2ob2o$9bobo2b2o2bo3bo6b2o12bobo2bo2bo2bo4bo$8b5o2b4o11bo7b2o
15b2o$9bobo2b2o2bo10b2o6b2obo7bo2bo3b3o$7bo14bo15b2o15b2o$13b2ob2o3b3o
20bo3bo2bo2bo4bo$14bobo2bo5bo17b3o3b2ob2o$12bo5b2o5b3o13bo5bo2bobo$21b
obo3bo11b3o5b2o2bo2bo$18b2obobobo13bo3bobo3bo$19bo5b2o14bobobob2o$17bo
3b3o16b2o5bo$21bobo19b3o3bo$20bobobo18bobo$21bobo18bobobo$22bo20bobo$
20bo3bo19bo$42bo3bo!

Does anyone has a list of all small G/R guns, for all known periods up to a certain period, say p36?

[dani]

Does anyone has a list of all small G/R guns, for all known periods up to a certain period, say p36?

I spent a bit compiling a list.

I made the p16, p21, p32 and p33 R-guns from the 3G syntheses and the p25+2n G->R, although that task was pretty trivial.

The missing guns from p15-p34 are p22(G+R), p23(G+R), p24(G+R), p25(G+R), p26(G+R), ]p28(G+R), p29(G+R), p31 (G+R)

EDIT (04/06/2018): Added p31 to the list and crossed off now known p24 and p28 guns. discoverer: 2718281828
EDIT (04/09/2018): Removed the p25 from the list, discoverer: me!
EDIT (04/18/2018): Removed a bunch of guns that have been discovered in the past week and a half. discoverer: 2718281828 and AbhpzTa. Now the list is complete, except for lower periods.

p34+ guns are trivial due to glider loops.

Here is the small collection, with guns by 2718281828, AbhpzTa, wildmyron, and BlinkerSpawn. If I missed anybody, please notify me and I will edit the post accordingly:

Code: Select all

x = 151, y = 897, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
16bo5bo2bo2bo24bo$50b2o$51bo$16bo5bo26bo$54bo2$16bo5bo2bo2bo25bo2$54bo
4bo$16bo11bo13bo7b2o5b3o$40bo7bo2bo5bo$40b2o6b2o$16bo5bo2bo2bo$39bo4bo
$44bo2bo$44bo2$48b2o$48bo2bo5bo$50b2o5b3o$54bo4bo2$54bo2$54bo$49bo$51b
o$50b2o$53bo4$47bo3bo$41bo9b3o$53bo2$46bobobo5$42bobobo2$39bo$39b3o$
41bo3bo3$40bo$42bo3bo$41b2o3$43bobobo2$39bo$41b2o$42bo$40bo3bo2bo$43b
2o$47bo$51bo$45bo3bo$42b2o$42bo4bo$44bo5b2o$43b2o2bo2bo$52bo$45bo3$16b
o5bo2bo2bo23bo$54bo2$16bo5bo$49bo6bo$49b2obobo$16bo5bo2bo2bo22b2ob2o2$
40b2o$16bo5bo5bo12bo$39bo2bo3bobobo$39b3o$16bo5bo2bo2bo12bo2$51b2ob2o$
49b2obobo$49bo6bo3$54bo$52bo3$65b2o$65bo2bo$64b2ob2o7$65b3o$59bo6bo6bo
$58b3o11b3o$58b4o9b4o$52bo3bob3o5bo5b3obo$54bo4bo5bobo5bo$50b3o4bo3b2o
2b3o2b2o3bo$49b5o8bo3bo3bo$50b3o3bo3bo11bo$51bo2bo$54b2o2$40b2o24bo$
41bo6bo4b2o6b2o2bobo$39bo8b2o2bob2o4bob2ob3o$39b3o6bo4b2o6b2o3bo$41bo
2$54b2o$51bo2bo11b3o$50b3o3bo9bobo$49b5o$50b3o$54bo6bo11bo$52bo10bo7bo
$58bo3b2o7b2o3bo2$57bo4b2o2b3o2b2o4bo$63bo2bobo2bo$62bo3b3o3bo$61b2o9b
2o$65bo3bo2$66b3o$66bobo$65bobobo$66b3o2$65b2ob2o$66bo2bo$66b2o3$16bo
5bo2bo2bo26bo2$53bo$16bo11bo$48b2o3bo$49bo$16bo11bo18bo5bo$42bo15bo$
44bo4b2o5bo$16bo11bo14b2o2bo2bo5b2o$47b2o2$16bo11bo14bo$42b2o3b2o$43bo
$39bo$47b2o$47bo2bo5b2o$49b2o5bo$58bo$47bo5bo$49bo$48b2o3bo2$53bo2$55b
o3$53bo2$51bo$46b2o$47bo$45bo4b3o2$43bo2bo9bo$41bo6bo5bo$41b2o4b2o5b2o
$39bo9bo$44bo3bo$43b2o3b2obo$44bo3bob3o$39bo11bo$41b2o$41bo$43bo3b2o5b
2o$48bo5bo$46bo9bo2$45bo4b3o$47bo$46b2o$51bo2$53bo3$16bo5bo2bo2bo23bo
3bo2$54bo$16bo5bo5bo$54bo$49bo$16bo5bo2bo2bo22bo2bo2b2o$50b2o5bo$54bo
4bo$16bo5bo5bo15bo5b2o5b3o$46bobo2bo5bo$45b2ob2o$16bo5bo2bo2bo10bo$44b
o$43b3o$44bo$39bo$45b2ob2o$46bobo2bo5bo$44bo5b2o5b3o$52bo3bo2bo$50b2o
5bo$51bob3ob2o$49bo3bobo$53b3o4$52bo3bo3$72bo3bo$74bo$73b3o$74bo$73b3o
$69bo4bo4bo$71bo5bo$70b2obobob2o$73b3o$70b2o2bo2b2o$53bo3bo7bo5bo2bo2b
o5bo$55bo11bobo3b3o3bobo$54bobo9b2ob2o7b2ob2o$54b3o3bo24bo2bo$65bo11bo
2b2ob2obo$50bo13b3o6bo2b2o5bobobo$52bo2bo2bo6bo11bo2b2ob2obo$51b2ob3ob
3o24bo2bo$53bobobo2bo5b2ob2o7b2ob2o$45bo5b2ob3obo7bo2bo9bo2bo$47bobo2b
o2bo2b2o8b2o9b2o$46b2ob2o$40bo32bobo$42bo16b2o7b2o3b3o$41b3o2bobobo9bo
8bo$42bo16b2o7b2o$40bo13bobo$46b2ob2o3b3o$47bobo2bobobobo$45bo5b2obobo
b3o$54b3o3bo14bo$51b2obobobo15b3o$52bo5b2o9b2o3bobo3b2o$50bo4bo11bo2bo
4bo4bo2bo$67b2ob2o7b2ob2o$61bo24bo2bo$54b3o6bo4b6o4bo2b2ob2obo$63bo2bo
2bo2bo4b2o5bobobo$53bo3bo5bo4b6o4bo2b2ob2obo$61bo24bo2bo$67b2ob2o7b2ob
2o$68bobo2bobobo2bobo$66bo2bo2bo5bo2bo2bo$71b2o5b2o$70bo2bobobo2bo$71b
2o5b2o$72bo5bo$70bo2bo3bo2bo$74b3o$74b3o$75bo2$73bo3bo3$16bo5bo2bo2bo
18bo$44bo2$16bo5bo5bo16bo2$45bo$16bo5bo2bo2bo$41bo3bo2$16bo11bo2$41bo
3bo$16bo11bo$45bo2$45bo2$44bo$47bo4$45b2o$45bo2bo$47b2o3$40bobobo2$39b
o2$46bo3$48bo$46bo$46b2o$39bo3$44bobobo3$42b2o5b2o$43bo5bo$41bo4bo4bo
3$10bo2bo2bo5bo2bo2bo22bo3bo3$16bo5bo5bo$49b2o2bo2b2o$42bo3bo3bo2bo2bo
$10bo2bo2bo5bo5bo19bo4bo4bo$48b2o2bobo$49bo$10bo11bo5bo11b2o5bo$41bobo
bob2o$39bo$10bo2bo2bo5bo2bo2bo$44bo$40bo$42bo$41b2o5b2o$49bo2bobo$47bo
5bo4bo$49b2o2bo2bo$50bo2bo2b2o$48bo3$51bo3bo3$48bo3bo4$39bo3$44bobobo
3bobobo3$42b2o13b2o$43bo13bo$41bo17bo2$48bo3bo3$16bo2bo2bo5bo19b2o3b2o
$48bo5bo$44bo2b2o5b2o$22bo5bo13bo7b3o$44b3o4bo2$16bo2bo2bo5bo2$44b3o$
16bo11bo10bo5bo3$16bo2bo2bo5bo$39bo5bo$44b3o4$44b3o4bo$42bo7b3o$44bo2b
2o5b2o$48bo5bo$48b2o3b2o3$65bo3bo3$59bo15bo2$58bobo3bo5bo3bobo$60bo3b
2o3b2o3bo$60bo3bo5bo3bo$58bo17bo$56b3o17b3o$56bo21bo$59bo15bo$59b2o13b
2o$59bo15bo$56bo21bo$48b2o3b2ob3o7bobo7b3o$48bo2bo2bo3bo7b3o7bo$44bo2b
2obobob2o$42bo$45bo2$49bo3bo$44b3o2b5o2$39bo8b2o17bo$52b2o8b2o2bobo$
53bo7bob2ob3o$52b2o8b2o3bo$39bo8b2o2$44b3o2b5o$49bo3bo13b3o$67bobo$45b
o11bo$42bo16bo17bo$44bo2b2obobob2ob3o17b3o$48bo2bo2bo2bo21bo$48b2o3b2o
5bo15bo$59b3o13b3o$60bo15bo$57bo21bo$57b3o8bo8b3o$59bo3bo3b3o3bo3bo$
61b2o5bo5b2o$61bobo3bobo3bobo$59bob2o5bo5b2obo$63bo3b3o3bo$60bo7bo7bo
3$66bo3bo3$10bo2bo2bo5bo2bo2bo34b2o$63bo$62b2o$16bo11bo37bo$40bo24b3o$
42bo18b2o3bo$10bo2bo2bo11bo12b2o19bo$53bo8b2o$48bo2b5o$10bo17bo19bo2bo
3bo$39bo8bo2bobobo2bo$51bo3bo2bo$10bo2bo2bo11bo12b2o8b5o2bo$42bo10bo$
40bo$62b2o$62bo$61b2o3bo$65b3o$66bo$62b2o$63bo$63b2o3$51b2o$49bo2bo$
49b2ob2o$51bo$44bo$44b3o$46bo3$49b3o$49bobo3$43bo13bo$42b3o11b3o$43bo
13bo$39bo21bo$39b3o4bo7bo4b3o$41bo2b3o7b3o2bo$44bo11bo3$49b3o3$49b5o$
49bo3bo$48b2obob2o$49bo3bo$49b5o3$51b3o6$48b2o5b2o$49bo5bo$47bo9bo$51b
o3$10bo2bo2bo5bo2bo2bo40bo$67bo$67b2o$16bo5bo5bo3$10bo2bo2bo5bo5bo38bo
$66b3o$67bo$16bo5bo5bo$55bo$53bo3bo4bo9bo$10bo2bo2bo5bo2bo2bo22bo4b2o
3b3o7b3o3b2o$51b2o9bo9bo4bo$79bo2$51bo15bo$49b5o12b3o$49bo3bo13bo$48b
2o3b2o$47bo7bo$39bo5b3o7b3o$41bo3bo11bo7b2o$40b2o2b2o11b2o5bob2o$45bo
11bo7b2o$45b3o7b3o$47bo7bo$48b2o3b2o$49bo3bo8bo$49b5o7b3o$51bo9bobo2bo
bo$62bo3b3o$80bo$50b2o26bo$51bo26b2o$49bo30bo2$78bo2$75b2obob2o$76bo3b
o$73bo2b5o2bo$73b3o2bo2b3o$62bo12bo5bo$61b3o5bobobob2o3b2obobo2b2o$61b
obo11bo5bo6bo$58bo3bo10b3o2bo2b3o3bo2bo$73bo2b5o2bo$76bo3bo$75b2obob2o
$62bo$62bo15bo$62bo$50bo25bo$52bo24b2o$51b2o4b3o5b3o4b2o4bo$72bo3bo$
74bo$62bo$62bo$62bo5$61b2o$62bo$60bo3$78bo$80bo$79b2o5$58b2o17b2o3b2o$
59bo11bo6bo3bo$55bo3b2o14bo2b5o2bo$53b3o19b3o2bo2b3o6bo$53bo17b2o4bo5b
o6bo$57bo13bo5b2o3b2o6b2o$54bobo14b2o4bo5bo$57bo3bobo11b3o2bo2b3o$53bo
7b3o11bo2b5o2bo$53b3o22bo3bo$55bo21b2o3b2o4$49bo$51bo17bo10b2o$50b2o
16b3o9bo$68bobo11bo$69bo$51bo$49b2ob2o$49bobobo22bo$48b2o3b2o6bobo12b
3o$47bo7bo5b3o14bo$45b3o7b3o16bo$45bo11bo8b2o4bo2bobo$40b2o2bobo9bobo
6bob2o5bo$41bo3bo11bo8b2o10bo$39bo5b3o7b3o18b3o$47bo7bo15b2o3bo$48b2o
3b2o17bo$49bobobo18b2o$49b2ob2o$51bo2$58bo3bo$51b2o3b3o2b3o$51bo4bo5bo
$53bo2$62bobo$63bo$59b2o5b2o$60bo2bo2bo$60b2o3b2o3$69bo$67bo$67b2o5$
66bobo$64b2o3b2o$63bo7bo$55bo7bo7bo$53bo3bo4bo9bo$51bo4b2o19b2o25b2o3b
2o$51b2o9bo9bo4bo26bo2bo2bo$63bo7bo7bo23b2o5b2o$63bo7bo35bo$64b2o3b2o
35bobo$50b3o13bobo$49b2ob2o53bo$49bo3bo$49b2ob2o$39bo6b3ob3ob3o$41bo3b
2ob2o3b2ob2o6b2o13b2o13b2o$40b2o3bo3bo3bo3bo7bo14bo14bo$45b2ob2o3b2ob
2o6b2o13b2o13b2o9b3o$46b3ob3ob3o48bobo$49b2ob2o$49bo3bo13bo$49b2ob2o
12bobo$50b3o13b3o60bo$61b3o3bo59bo$61bobo63b2o$80bo45bo$50b2o26bo48bo$
51bo26b2o45b5o$49bo27bo47bo3bo$78bo45b2obob2o$76b5o44bo3bo$76bo3bo41bo
2b5o2bo$75b2obob2o23b3o7bo4b5o2bo2b5o$76bo3bo16bo7bobo9bo2bo3bo5bo3bob
o$73bo2b5o2bo11bo20b2ob2obob2o3b2obob2ob2o$67bo3b5o2bo2b5o9b2o21bobo3b
o5bo3bo2bo$66bobo2bo3bo5bo3bobo32b5o2bo2b5o4bo$66b3ob2obob2o3b2obob2ob
2o32bo2b5o2bo$61b3o3bobobo3bo5bo3bo2bo36bo3bo10bo$58bo2bobo7b5o2bo2b5o
4bo33b2obob2o7bo$73bo2b5o2bo10bobo28bo3bo8b2o$76bo3bo11b2o3b2o26b5o$
75b2obob2o9bo7bo27bo$59b2o3b2o10bo3bo2bo7bo7bo28bo$60bobobo11b5o4bo4bo
9bo10b2o13b2o$57bo2b2ob2o2bo10bo5b2o24bob2o11bob2o6b2o3b2o$50bo6b3o2bo
2b3o11bo10bo9bo10b2o13b2o8bobobo$52bo6bo5bo11b2o12bo7bo5b3o25bo2b2ob2o
2bo$51b2o5bobo3bobo5b2o4bo12bo7bo5bobo25b3o2bo2b3o$59bo5bo6bo3bo15b2o
3b2o14b2o13b2o5bo5bo$57b3o2bo2b3o6bo19bobo16bo14bo5bobo3bobo5b2o$57bo
2b2ob2o2bo45b2o13b2o5bo5bo6bo$60bobobo68b3o2bo2b3o6bo$59b2o3b2o67bo2b
2ob2o2bo$129bo6bobobo$94b2o9b3o27b2o3b2o$95bo8b2ob2o$93bo10bo3bo$61b2o
41b2ob2o$62bo31bo6b3ob3ob3o$60bo35bo3b2ob2o3b2ob2o24b2o$95b2o3bo3bo3bo
3bo3b2o20bo$100b2ob2o3b2ob2o3bo19bo$101b3ob3ob3o6bo$104b2ob2o$104bo3bo
$104b2ob2o$105b3o4$105b2o$106bo$104bo3$o2bo2bo5bo2bo2bo19b2o$39bo$37bo
9b2o$6bo11bo29bo$36bo11b2o$40bobobo$o2bo2bo5bo2bo2bo$30bo$32bo$6bo5bo
18b2o11bo2$29bo4b2o$o2bo2bo5bo2bo2bo16bo$34b2o2$31b2o11bo$32bo$30bo2$
40bobobo$36bo11b2o$48bo$37bo9b2o$39bo$38b2o3$60bo$56bo9bo$58bo5bo$57b
2o5b2o3$61bo$53bo6bobo6bo$51bo8b3o8bo$49bo4bo6bo6bo4bo$49b2o21b2o2$38b
2o13b3o11b3o$39bo13b3o11b3o$37bo9b2o4b3o11b3o$48bo9bo5bo$36bo5bo3bob2o
$42b2o3bo6bo13bo$42bo8bo19bo$30bo20b3o15b3o$32bo11b2o7bo15bo$31b2o7bo
3b2o$39bo21bo$40b2o14b2o2bobo$39bob2o12bob2ob3o$29bo10b2o14b2o3bo$39bo
$31b2o7bo3b2o$32bo11b2o$30bo30b3o$42bo18bobo$42b2o3bo$36bo5bo3bob2o$
48bo5bo15bo$37bo9b2o3b3o15b3o$39bo12bo19bo$38b2o$54b3o11b3o$54b3o2bo5b
o2b3o$55bo13bo2$55bo13bo$54b3o11b3o$50b2o2b3o11b3o2b2o$50bo23bo$52bo8b
3o8bo$54bo6bobo6bo4$58b2o5b2o$59bo5bo$57bo9bo$61bo3$o2bo2bo5bo2bo2bo
29b2o$48bo2bo$47b2ob2o$6bo11bo30bo3$o2bo2bo5bo2bo2bo$45b2o3b2o$46bo3bo
$6bo11bo27b5o$48bo$30b2o$o2bo2bo5bo2bo2bo12bo$29bo6bo6b2o$29b3o12bo$
31bo4bo6b2o4$47bobo$47b3o2$60bo$53b3o4b3o$43bo18bo$42b3o15bo$42bobo15b
2o$43bo2$40b2o3b2o$41bobobo$41b5o$43bo2$42bo$40b2ob2o$40bo2bo$42b2o3$
52b2o$52bo2bo$51b2ob2o5$51bobo4$30b2o5bo$31bo3b3o$29bo2bo2bo4b2o$29b3o
2b3o2bob2o8bobo$31bo3bo4b2o9b3o$35b3o21bo$37bo19b3o$46b2o9bo6bo$46bo9b
2o6b3o$46b2o9bo5bo2bo$57b3o4bo$59bo4b2o2$43bo$43bo$43bo5$40b2ob2o2b2o$
40bo2bo4bo$42b2o2bo$53bo$51b2ob2o$51bo2bo$53b2o!

Oh, and it doesn't include all of the known guns, by the way, although some significant obsoleted guns are shown here.

[2718281828]

I spent a bit compiling a list.

Thanks.
I updated the list:

Code: Select all

x = 99, y = 982, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8$16bo5bo2bo2bo24bo$50b2o$51bo$16bo5bo26bo$54bo2$16bo5bo2bo2bo25bo2$
54bo4bo$16bo11bo13bo7b2o5b3o$40bo7bo2bo5bo$40b2o6b2o$16bo5bo2bo2bo$39b
o4bo$44bo2bo$44bo2$48b2o$48bo2bo5bo$50b2o5b3o$54bo4bo2$54bo2$54bo$49bo
$51bo$50b2o$53bo4$47bo3bo$41bo9b3o$53bo2$46bobobo5$42bobobo2$39bo$39b
3o$41bo3bo3$40bo$42bo3bo$41b2o3$43bobobo2$39bo$41b2o$42bo$40bo3bo2bo$
43b2o$47bo$51bo$45bo3bo$42b2o$42bo4bo$44bo5b2o$43b2o2bo2bo$52bo$45bo3$
16bo5bo2bo2bo23bo$54bo2$16bo5bo$49bo6bo$49b2obobo$16bo5bo2bo2bo22b2ob
2o2$40b2o$16bo5bo5bo12bo$39bo2bo3bobobo$39b3o$16bo5bo2bo2bo12bo2$51b2o
b2o$49b2obobo$49bo6bo3$54bo$52bo3$65b2o$65bo2bo$64b2ob2o7$65b3o$59bo6b
o6bo$58b3o11b3o$58b4o9b4o$52bo3bob3o5bo5b3obo$54bo4bo5bobo5bo$50b3o4bo
3b2o2b3o2b2o3bo$49b5o8bo3bo3bo$50b3o3bo3bo11bo$51bo2bo$54b2o2$40b2o24b
o$41bo6bo4b2o6b2o2bobo$39bo8b2o2bob2o4bob2ob3o$39b3o6bo4b2o6b2o3bo$41b
o2$54b2o$51bo2bo11b3o$50b3o3bo9bobo$49b5o$50b3o$54bo6bo11bo$52bo10bo7b
o$58bo3b2o7b2o3bo2$57bo4b2o2b3o2b2o4bo$63bo2bobo2bo$62bo3b3o3bo$61b2o
9b2o$65bo3bo2$66b3o$66bobo$65bobobo$66b3o2$65b2ob2o$66bo2bo$66b2o3$16b
o5bo2bo2bo26bo2$53bo$16bo11bo$48b2o3bo$49bo$16bo11bo18bo5bo$42bo15bo$
44bo4b2o5bo$16bo11bo14b2o2bo2bo5b2o$47b2o2$16bo11bo14bo$42b2o3b2o$43bo
$39bo$47b2o$47bo2bo5b2o$49b2o5bo$58bo$47bo5bo$49bo$48b2o3bo2$53bo2$55b
o3$53bo2$51bo$46b2o$47bo$45bo4b3o2$43bo2bo9bo$41bo6bo5bo$41b2o4b2o5b2o
$39bo9bo$44bo3bo$43b2o3b2obo$44bo3bob3o$39bo11bo$41b2o$41bo$43bo3b2o5b
2o$48bo5bo$46bo9bo2$45bo4b3o$47bo$46b2o$51bo2$53bo3$16bo5bo2bo2bo23bo
3bo2$54bo$16bo5bo5bo$54bo$49bo$16bo5bo2bo2bo22bo2bo2b2o$50b2o5bo$54bo
4bo$16bo5bo5bo15bo5b2o5b3o$46bobo2bo5bo$45b2ob2o$16bo5bo2bo2bo10bo$44b
o$43b3o$44bo$39bo$45b2ob2o$46bobo2bo5bo$44bo5b2o5b3o$52bo3bo2bo$50b2o
5bo$51bob3ob2o$49bo3bobo$53b3o4$52bo3bo3$72bo3bo$74bo$73b3o$74bo$73b3o
$69bo4bo4bo$71bo5bo$70b2obobob2o$73b3o$70b2o2bo2b2o$53bo3bo7bo5bo2bo2b
o5bo$55bo11bobo3b3o3bobo$54bobo9b2ob2o7b2ob2o$54b3o3bo24bo2bo$65bo11bo
2b2ob2obo$50bo13b3o6bo2b2o5bobobo$52bo2bo2bo6bo11bo2b2ob2obo$51b2ob3ob
3o24bo2bo$53bobobo2bo5b2ob2o7b2ob2o$45bo5b2ob3obo7bo2bo9bo2bo$47bobo2b
o2bo2b2o8b2o9b2o$46b2ob2o$40bo32bobo$42bo16b2o7b2o3b3o$41b3o2bobobo9bo
8bo$42bo16b2o7b2o$40bo13bobo$46b2ob2o3b3o$47bobo2bobobobo$45bo5b2obobo
b3o$54b3o3bo14bo$51b2obobobo15b3o$52bo5b2o9b2o3bobo3b2o$50bo4bo11bo2bo
4bo4bo2bo$67b2ob2o7b2ob2o$61bo24bo2bo$54b3o6bo4b6o4bo2b2ob2obo$63bo2bo
2bo2bo4b2o5bobobo$53bo3bo5bo4b6o4bo2b2ob2obo$61bo24bo2bo$67b2ob2o7b2ob
2o$68bobo2bobobo2bobo$66bo2bo2bo5bo2bo2bo$71b2o5b2o$70bo2bobobo2bo$71b
2o5b2o$72bo5bo$70bo2bo3bo2bo$74b3o$74b3o$75bo2$73bo3bo3$16bo5bo2bo2bo
18bo$44bo2$16bo5bo5bo16bo2$45bo$16bo5bo2bo2bo$41bo3bo2$16bo11bo2$41bo
3bo$16bo11bo$45bo2$45bo2$44bo$47bo4$45b2o$45bo2bo$47b2o3$40bobobo2$39b
o2$46bo3$48bo$46bo$46b2o$39bo3$44bobobo3$42b2o5b2o$43bo5bo$41bo4bo4bo
3$10bo2bo2bo5bo2bo2bo22bo3bo3$16bo5bo5bo$49b2o2bo2b2o$42bo3bo3bo2bo2bo
$10bo2bo2bo5bo5bo19bo4bo4bo$48b2o2bobo$49bo$10bo11bo5bo11b2o5bo$41bobo
bob2o$39bo$10bo2bo2bo5bo2bo2bo$44bo$40bo$42bo$41b2o5b2o$49bo2bobo$47bo
5bo4bo$49b2o2bo2bo$50bo2bo2b2o$48bo3$51bo3bo3$48bo3bo4$39bo3$44bobobo
3bobobo3$42b2o13b2o$43bo13bo$41bo17bo2$48bo3bo3$16bo2bo2bo5bo19b2o3b2o
$48bo5bo$44bo2b2o5b2o$22bo5bo13bo7b3o$44b3o4bo2$16bo2bo2bo5bo2$44b3o$
16bo11bo10bo5bo3$16bo2bo2bo5bo$39bo5bo$44b3o4$44b3o4bo$42bo7b3o$44bo2b
2o5b2o$48bo5bo$48b2o3b2o16$48b2o3b2o$48bo2bo2bo$47b2ob3ob2o4$44bo6bo$
46bo$45b2o5$41bo17bo$39b3o17b3o$39bo21bo$42bo15bo$42b2o13b2o$42bo15bo$
39bo21bo$39b3o17b3o$41bo17bo$43bo3bo5bo3bo$43bo3b2o3b2o3bo$41bobo3bo5b
o3bobo2$42bo15bo3$48bo3bo16$10bo2bo2bo5bo5bo$48bo13b2o$50b2o5bo5bo$16b
o5bo5bo20bobo4b2o3bob2o$50b2o5bo3b2o$47b2o$10bo2bo2bo5bo2bo2bo19bo$48b
2o2$10bo17bo17bobo2bo$48bo$48bo2bo$10bo2bo2bo11bo$48b2o$48bo$47b2o$50b
2o5bo3b2o$49bobo4b2o3bob2o$50b2o5bo5bo$48bo13b2o9$54b2o3b2o$54bo2bo2bo
$53b2ob3ob2o$55bobobo3$50bo6bo$52bo$51b2o5$49bo13bo$47b3o13b3o$47bo2bo
11bo2bo$49b2o11b2o4$48b3o11b3o$49bo13bo5$48b3o4bobo4b3o$48bobo11bobo$
49bo3bo5bo3bo$47bo3b3ob3ob3o3bo$51bo9bo$55bo16$10bo2bo2bo5bo2bo2bo34b
2o$63bo$62b2o$16bo11bo37bo$40bo24b3o$42bo18b2o3bo$10bo2bo2bo11bo12b2o
19bo$53bo8b2o$48bo2b5o$10bo17bo19bo2bo3bo$39bo8bo2bobobo2bo$51bo3bo2bo
$10bo2bo2bo11bo12b2o8b5o2bo$42bo10bo$40bo$62b2o$62bo$61b2o3bo$65b3o$
66bo$62b2o$63bo$63b2o3$51b2o$49bo2bo$49b2ob2o$51bo$44bo$44b3o$46bo3$
49b3o$49bobo3$43bo13bo$42b3o11b3o$43bo13bo$39bo21bo$39b3o4bo7bo4b3o$
41bo2b3o7b3o2bo$44bo11bo3$49b3o3$49b5o$49bo3bo$48b2obob2o$49bo3bo$49b
5o3$51b3o6$48b2o5b2o$49bo5bo$47bo9bo$51bo16$60bo2$10bo2bo2bo5bo2bo2bo
21b2o9bo$44bo6bo2bobobo$46bo4b2o$16bo5bo5bo16b2o2$43bo7b2o$10bo2bo2bo
5bo2bo2bo21bob2o$51b2o2$10bo11bo5bo16b2o$46bo4b2o$44bo6bo2bobobo$10bo
2bo2bo5bo2bo2bo21b2o9bo2$60bo12$64bo$58bo9bo$60bo5bo$59b2o5b2o4$57bo4b
obo4bo$57b3o2b3o2b3o$59bo7bo3$58bo9bo2$51bo6bo9bo$57b3o7b3o$41b2o2bo3b
o2bo4b3o7b3o$35bo6bo2bo3b2o4bo15bo$37bo4b2obo3bo7bo11bo$36b2o6bo2$34bo
9b2o12b2o2bobo$45bo13bo2b3o$44b2o12b2o2$36b2o6bo$37bo4b2obo3bo$35bo6bo
2bo3b2o13bo$41b2o2bo3bo2bo10b3o$63bobo$51bo12bo$58bo11bo$56bo15bo$59bo
9bo$58b3o7b3o4$58b3o7b3o$61bo5bo$60bo7bo$58b3o3bo3b3o$58bo4b3o4bo$63bo
bo$64bo2$60b2o5b2o$61bo5bo$59bo9bo$63bo28$10bo2bo2bo5bo2bo2bo3$16bo5bo
5bo25bo$55bo4bo$50b2o6bob3o$10bo2bo2bo5bo5bo21b3o4b2o3bo$42bo7b2o6bobo
$44bo3bo6bo4b2o$16bo5bo5bo14b2obo7bo$44bo$42bo10b2o$10bo2bo2bo5bo2bo2b
o13b3o8bo$44bo8b2o$44b2o$54bo$47b2o4bo6bo$48bobo6b2o$46bo3b2o4b3o$46b
3obo6b2o$48bo4bo$54bo9$48b2o3b2o$48bo2bo2bo$47b2ob3ob2o$49bobobo3$51bo
$44bo$44b3o$46bo3$43b2o$43bo2bo$42b2ob2o7bo2$43b3o9b3o$44bo10b3o$56bo$
42bo3bo$41bo5bobobobo5bo$49b3o2bo3bo$44bo$43b3o10bo$43b3o9b3o2$46bo7b
2ob2o$54bo2bo$47bo8b2o$52bo$46b3ob3o$47bo2bo$45bo3b2o16$10bo2bo2bo5bo
2bo2bo19b2o$49bo$47bo9b2o$16bo11bo29bo$46bo11b2o$50bobobo$10bo2bo2bo5b
o2bo2bo$40bo$42bo$16bo5bo18b2o11bo2$39bo4b2o$10bo2bo2bo5bo2bo2bo16bo$
44b2o2$41b2o11bo$42bo$40bo2$50bobobo$46bo11b2o$58bo$47bo9b2o$49bo$48b
2o3$70bo$66bo9bo$68bo5bo$67b2o5b2o3$71bo$63bo6bobo6bo$61bo8b3o8bo$59bo
4bo6bo6bo4bo$59b2o21b2o2$48b2o13b3o11b3o$49bo13b3o11b3o$47bo9b2o4b3o
11b3o$58bo9bo5bo$46bo5bo3bob2o$52b2o3bo6bo13bo$52bo8bo19bo$40bo20b3o
15b3o$42bo11b2o7bo15bo$41b2o7bo3b2o$49bo21bo$50b2o14b2o2bobo$49bob2o
12bob2ob3o$39bo10b2o14b2o3bo$49bo$41b2o7bo3b2o$42bo11b2o$40bo30b3o$52b
o18bobo$52b2o3bo$46bo5bo3bob2o$58bo5bo15bo$47bo9b2o3b3o15b3o$49bo12bo
19bo$48b2o$64b3o11b3o$64b3o2bo5bo2b3o$65bo13bo2$65bo13bo$64b3o11b3o$
60b2o2b3o11b3o2b2o$60bo23bo$62bo8b3o8bo$64bo6bobo6bo4$68b2o5b2o$69bo5b
o$67bo9bo$71bo3$10bo2bo2bo5bo2bo2bo29b2o$58bo2bo$57b2ob2o$16bo11bo30bo
3$10bo2bo2bo5bo2bo2bo$55b2o3b2o$56bo3bo$16bo11bo27b5o$58bo$40b2o$10bo
2bo2bo5bo2bo2bo12bo$39bo6bo6b2o$39b3o12bo$41bo4bo6b2o4$57bobo$57b3o2$
70bo$63b3o4b3o$53bo18bo$52b3o15bo$52bobo15b2o$53bo2$50b2o3b2o$51bobobo
$51b5o$53bo2$52bo$50b2ob2o$50bo2bo$52b2o3$62b2o$62bo2bo$61b2ob2o5$61bo
bo4$40b2o5bo$41bo3b3o$39bo2bo2bo4b2o$39b3o2b3o2bob2o8bobo$41bo3bo4b2o
9b3o$45b3o21bo$47bo19b3o$56b2o9bo6bo$56bo9b2o6b3o$56b2o9bo5bo2bo$67b3o
4bo$69bo4b2o2$53bo$53bo$53bo5$50b2ob2o2b2o$50bo2bo4bo$52b2o2bo$63bo$
61b2ob2o$61bo2bo$63b2o!

I reduced the size of the p21 R-gun, removed a p30 R-gun which was obviously larger than an other one. And I added p24 and p28 G/R-guns. Now it contains G/R-guns of all known periods up to 33.

EDIT1:
Replaced p30 G/R-gun by smaller versions:

Code: Select all

x = 60, y = 68, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$3bo2bo2bo5bo2bo2bo3$9bo5bo5bo25bo$48bo4bo$43b2o6bob3o$3bo2bo2bo5bo5bo
21b3o4b2o3bo$35bo7b2o6bobo$37bo3bo6bo4b2o$9bo5bo5bo14b2obo7bo$37bo$35b
o10b2o$3bo2bo2bo5bo2bo2bo13b3o8bo$37bo8b2o$37b2o$47bo$40b2o4bo6bo$41bo
bo6b2o$39bo3b2o4b3o$39b3obo6b2o$41bo4bo$47bo9$41b2o3b2o$41bo2bo2bo$40b
2ob3ob2o$42bobobo3$44bo$37bo$37b3o$39bo3$36b2o$36bo2bo$35b2ob2o7bo2$
36b3o9b3o$37bo10b3o$49bo$35bo3bo$34bo5bobobobo5bo$42b3o2bo3bo$37bo$36b
3o10bo$36b3o9b3o2$39bo7b2ob2o$47bo2bo$40bo8b2o$45bo$39b3ob3o$40bo2bo$
38bo3b2o!

[2718281828]

Something different, a 2-dot catalyst which emits 4G:

Code: Select all

x = 51, y = 139, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$22bo3bo2$24bo3$23bobo3$24bo2$22bo3bo6$22bo3bo2$24bo2$29b2o$23bo2bo2b
o$29b2o2$24bo2$22bo3bo9$29bo$29bobo$29b3o2$22bo3bo2$24bo3$23bo2bo3$24b
o2$22bo3bo47$21bo3bo3bo3bo$20bobo9bobo$20b3o4bo4b3o$21bo11bo5$27bo$19b
3o11b3o$19bobo3bo3bo3bobo$21bo11bo4$18b3o13b3o$18bobo13bobo$18bo17bo4$
19b3o11b3o$19bobo11bobo$19bo15bo4$20b3o9b3o$20bobo9bobo$20bo13bo!

Not sure if it is of any use.

[2718281828]

A p3 G/R to 2R:

Code: Select all

x = 116, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
59b2o3b2o30b2o3b2o$59bo2bo2bo30bo2bo2bo$55bo2b2o5b2o25bo2b2o5b2o$53bo
36bo$61b3o34b3o$61bobo34bobo$56bo4b3o29bo4b3o4bo$7bo27bo40bo36bo$7b3o
25b3o18bo19b3o14bo19b3o$9bo27bo12bo27bo8bo27bo$7bo12b2o13bo20bo3b2o12b
o18bo3b2o12bo$bobo3b2o12bo6bo2bo3b2o16bo5bob2o6bo2bo2bobo12bo5bob2o6bo
2bo2bobo$7bo12b2o13bo20bo3b2o12bo18bo3b2o12bo$9bo27bo12bo27bo8bo27bo$
7b3o25b3o18bo19b3o14bo19b3o$7bo27bo40bo36bo$56bo4b3o29bo4b3o$61bobo34b
obo$61b3o34b3o$53bo36bo$55bo2b2o5b2o25bo2b2o5b2o$59bo2bo2bo30bo2bo2bo$
59b2o3b2o30b2o3b2o!

which gives p3-splitter with minimal repeat time 21. It also allows double R guns, for all periods 21+3N. And obviously it can act as a 90° p3 G-to-R-reflector.

Edit1:
It seems that there are various applications p3 R to 3R:

Code: Select all

x = 15, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$obo$3o9$12bo$2bo9b3o$obo8bo2bo$3o9bo$5bo2bo2b3o$12bo$11bo2bo$12b3o
$12bo!

Edit2: Using 3 p3-splitters gives a simple and nice G/R to 4R

Code: Select all

x = 76, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18bo$17bobo36bo2bo$17b3o36b3o$18bo38bo2$3bo29bo8bo29bo$b3o29b3o4b3o29b
3o$bo33bo4bo33bo$3bo14bo14bo8bo14bo14bo$2b2o3bo2bo15bo2bo3b2o6b2o3bo2b
o15bo2bo3b2o$3bo29bo8bo29bo$bo16bo16bo4bo16bo16bo$b3o29b3o4b3o29b3o$3b
o29bo8bo29bo2$14b2ob3ob2o30b2ob3ob2o$15bo2bo2bo32bo2bo2bo$15b2o3b2o32b
2o3b2o!

and p60 (1x4x60)-cycle R-gun and p30 (2x2x30)-cycle R-gun :

Code: Select all

x = 67, y = 59, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14b2o3b2o$14bo2bo2bo$13b2ob3ob2o2$2bo$3o$o16bo$2bo$b2o2bo3bo$2bo14bo$o
$3o$2bo4bo2bo$7b3o13bo$8bo14b3o$25bo$8bo14bo$16bo2bo3b2o$23bo$8bo16bo$
23b3o$23bo2$4b2ob3ob2o$5bo2bo2bo$5b2o3b2o8$53b2o3b2o$53bo2bo2bo$52b2ob
3ob2o2$41bo$39b3o$39bo16bo$41bo$40b2o2bo3bo$41bo14bo$39bo$39b3o14bo$
41bo4bo2bo5b3o$46b3o5bo2bo4bo$47bo14b3o$64bo$47bo14bo$55bo2bo3b2o$62bo
$47bo16bo$62b3o$62bo2$43b2ob3ob2o$44bo2bo2bo$44b2o3b2o!

Edit3:
A p30 and p27 double 2R-flotilla gun:

Code: Select all

x = 19, y = 47, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7b2o3b2o$7bo2bo2bo$6b2ob3ob2o4$10bo$5b2o$4b2o$5bo4bo$6bo2$6bo3$6bo4$2b
2ob3ob2o$3bo2bo2bo$3b2o3b2o4$11b2o3b2o$11bo2bo2bo$10b2ob3ob2o4$14bo$3b
2o$2b2o$3bo10bo$4bo$14bo$4bo10bo$15b2o$14b2o$4bo4$2ob3ob2o$bo2bo2bo$b
2o3b2o!

And a R to an R-flotilla wave:

Code: Select all

x = 50, y = 32, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$b2o$bo$o2$6bo3$6bo2$19bo2$2b2ob3ob2o$3bo2bo2bo3bo5bo$3b2o3b2o$32bo
2$15b2ob3ob2o$16bo2bo2bo3bo5bo$16b2o3b2o$45bo2$28b2ob3ob2o$29bo2bo2bo
3bo5bo$29b2o3b2o3$41b2ob3ob2o$42bo2bo2bo$42b2o3b2o!

with a corresponding p27-gun:

Code: Select all

x = 70, y = 37, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o3b2o$4bo2bo2bo$3b2ob3ob2o4$o6bo$17b2o$18b2o$7bo10bo$17bo$7bo$6bo
10bo$5b2o$6b2o$o16bo2$30bo2$13b2ob3ob2o$14bo2bo2bo3bo5bo$14b2o3b2o$43b
o2$26b2ob3ob2o$27bo2bo2bo3bo5bo$27b2o3b2o$56bo2$39b2ob3ob2o$40bo2bo2bo
3bo5bo$40b2o3b2o3$52b2ob3ob2o$53bo2bo2bo$53b2o3b2o!

[BlinkerSpawn]

Smaller p30 G gun:

Code: Select all

x = 19, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo7bo2$2b3o9b3o$2b3o9b3o$3bo11bo2$o5bobobobo5bo$bo3bo2b3o2bo3bo2$3bo
11bo$2b3o9b3o2$b2ob2o7b2ob2o$bo2bo9bo2bo$3b2obo7b2o$11bo$6b2obo$7bob2o
$5bo!

[2718281828]

I am still looking forward for the first log-growth (and afterwards sawtooth) pattern using the 2c/19 ship R-to-R reflector.
But I am struggling again with the timing. My idea is this:

Code: Select all

x = 75, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
33b2o3b2o$33bo2bo2bo$32b2ob3ob2o2$4bo47bo$2b3o45b5o$2bo33bo5bo6bo2bo2b
o$6bo$3bobo2bo2bo36bo3bo$6bo29bo10b5o$2bo45bo3bo$2b3o$4bo24bo19bo2bo2b
o$29b3o18b5o$31bo20bo2$38bo$10bo28bo$39b2o$38b2o$10bo34bo2$45bo$44b3o$
6b2ob3ob2o25b2obo$7bo2bo2bo26bo5bo$7b2o3b2o26b2obo$44b3o$45bo2$45bo!

An R gets reflected by the ships, travels back and 3 p3-splitters send an R back (and shoot something to get a growth pattern).
This pattern works for 3 cycles and fails afterwards (viewer fails for me, you have to use golly):

Code: Select all

x = 2544, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2521b2o3b2o$2521bo2bo2bo$2520b2ob3ob2o2$2bo2537bo$3o2535b5o$o2523bo5bo
6bo2bo2bo$4bo$bobo2bo2bo2526bo3bo$4bo2519bo10b5o$o2535bo3bo$3o$2bo
2514bo19bo2bo2bo$2517b3o18b5o$2519bo20bo2$2526bo$8bo2518bo$2527b2o$
2526b2o$8bo2524bo2$2533bo$2532b3o$4b2ob3ob2o2515b2obo$5bo2bo2bo2516bo
5bo$5b2o3b2o2516b2obo$2532b3o$2533bo2$2533bo!

and I don't understand why. Does someone have any idea if this is possible, or is it impossible? If it helps it might be possible to construct a stable reflector.
Edit1:
The stable reflector does not work as well.

Code: Select all

x = 46, y = 44, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
16bo$18bo$17b2o3$18bo$16b5o20bo$16bo3bo$15b2obob2o19bo$16bo3bo19b3o$
16b5o15b2obo$12bo5bo17bo5bo$4bo5b5o21b2obo$6bo3bo3bo25b3o$5b2o2b2obob
2o25bo$10bo3bo$10b5o26bo$12bo3$24bo$22bo$22b2o$25bo$23bo$13b2o8b2o$14b
o$12bo4bo11bo$30bo$30b2o$13b2o14b2o$14bo21bo$12bo$17b2o17bo$17bo17b3o$
19bo11b2obo$31bo5bo$31b2obo$35b3o$36bo2$36bo!

This one seems to fail as well:

Code: Select all

x = 76, y = 42, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
29bo$31bo$30b2o3$31bo$29b5o36bo$29bo3bo$28b2obob2o35bo$29bo3bo35b3o$
29b5o31b2obo$25bo5bo33bo5bo$17bo5b5o37b2obo$19bo3bo3bo41b3o$18b2o2b2ob
ob2o41bo$23bo3bo$23b5o42bo$25bo6$36bo$38bo$37b2o$25bo$23b5o30bo$23bo3b
o31bo$18b2o2b2obob2o30b2o$19bo3bo3bo11bo18b2o$17bo5b5o37bo$25bo15b2o$
33b2o7bo22bo$33bo2b2o2bo23b3o$35b2o23b2obo$38bo21bo5bo$60b2obo$64b3o$
65bo2$65bo!

Edit2:
This stable reflector works, somehow, at least for one, and two cycles:

Code: Select all

x = 407, y = 190, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9$24bo$26bo$25b2o3$26bo65b3o$24b5o63bobo$24bo3bo63b2o$23b2obob2o58bo6b
o$24bo3bo57b5o$24b5o57bo3bo$20bo5bo58b2obob2obo2bo$12bo5b5o63bo3bo$14b
o3bo3bo63b5o$13b2o2b2obob2o64bo6bo$18bo3bo69b2o$18b5o69bobo$20bo71b3o
6$63bo$61bo$61b2o$56bo$58bo$57b2o25b3o$86bo$85b2o$56bo4bo33bo$58bo$57b
2o8b2o26bo$67bo26b3o$69bo20b2obo$66b2o22bo5bo$50bo15bo23b2obo$48bo19bo
25b3o$48b2o45bo$43bo$45bo22bo26bo$44b2o20b5o$66bo3bo$65b2obob2o2b2o$
43bo4bo17bo3bo3bo$45bo20b5o5bo$44b2o8b2o6bo5bo$54bo5b5o$56bo3bo3bo$53b
2o4b2obob2o$37bo15bo6bo3bo$35bo19bo4b5o$35b2o25bo$30bo$32bo22bo$31b2o
20b5o4b2o$53bo3bo5bobo$52b2obob2o2b3o$30bo4bo17bo3bo3bo$32bo20b5o$31b
2o8b2o6bo5bo$41bo5b5o$43bo3bo3bo$20bo19b2o4b2obob2o$18b5o17bo6bo3bo$
18bo3bo19bo4b5o$13b2o2b2obob2o25bo$14bo3bo3bo$12bo5b5o$20bo15bo12b2o$
34b5o10bo$34bo3bo12bo$33b2obob2o$34bo3bo$34b5o$36bo3$36b2o$36bo$38bo
10$23bo$25bo$24b2o3$25bo365b3o$23b5o363bobo$23bo3bo363b2o$22b2obob2o
358bo6bo$23bo3bo357b5o$23b5o357bo3bo$19bo5bo358b2obob2obo2bo$11bo5b5o
363bo3bo$13bo3bo3bo363b5o$12b2o2b2obob2o364bo6bo$17bo3bo369b2o$17b5o
369bobo$19bo371b3o6$62bo$60bo$60b2o$55bo$57bo$56b2o325b3o$385bo$384b2o
$55bo4bo333bo$57bo$56b2o8b2o326bo$66bo326b3o$68bo320b2obo$65b2o322bo5b
o$49bo15bo323b2obo$47bo19bo325b3o$47b2o345bo$42bo$44bo22bo326bo$43b2o
20b5o$65bo3bo$64b2obob2o2b2o$42bo4bo17bo3bo3bo$44bo20b5o5bo$43b2o8b2o
6bo5bo$53bo5b5o$55bo3bo3bo$52b2o4b2obob2o$36bo15bo6bo3bo$34bo19bo4b5o$
34b2o25bo$29bo$31bo22bo$30b2o20b5o4b2o$52bo3bo5bobo$51b2obob2o2b3o$29b
o4bo17bo3bo3bo$31bo20b5o$30b2o8b2o6bo5bo$40bo5b5o$42bo3bo3bo$19bo19b2o
4b2obob2o$17b5o17bo6bo3bo$17bo3bo19bo4b5o$12b2o2b2obob2o25bo$13bo3bo3b
o$11bo5b5o$19bo15bo12b2o$33b5o10bo$33bo3bo12bo$32b2obob2o$33bo3bo$33b
5o$35bo3$35b2o$35bo$37bo!

[dani]

Woah, awesome discoveries everybody! I think the splitters are especially cool.
As for why the sawtooth partial fails, I honestly don't know. If it helps, I have calculated the generations in which the R is in the position it's shown in the second pattern:

Code: Select all

0
10125
25650
49455
85956

Entering just the first four numbers into Wolfram alpha gives all whole numbers (even after hitting more), as well as a different 5th number. But inputting all of them followed by a ... gives the two numbers after 85956 as decimals, as well as some negative numbers and fractions after you hit 'More'. I don't know if that helps in anyway, although I am not an expert in equations like this. Maybe (84420-49455=)34965 is the magic number and you just need to put the 2c/19s far away that the R reappears at that generation, although it would most likely be troubling to rephase it all. I tried to do it myself to no avail.

-

EDIT: Reduced my 'funky G->2R' from a while ago, removing one half-carrier (this version suppresses the backwards R):

Code: Select all

x = 16, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$o4bo$2bob2o$b2o3$4b2o9bo$5bo7bo$4b2obo5b2o3$5b2o$5bo$7bo!

If we find a R->G, then this could lead to the reflector.

[dani]

New p2:

Code: Select all

x = 9, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo2bo$o7bo$4bo$bob3obo$4bo$o7bo$2bo2bo!

It would be cool to see something like an OTCA metapixel or replicator in this rule, although how to go about that is a mystery.

[dani]

I don't know if we have a p16 rake yet (checked catagolue), but here's one:

Code: Select all

x = 30, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
17b2o$6bo4b3o4b2o2b2o$7bo5bo4bo4b2o$b2o4b2o3b2o3bo5bo$2bo3b2o14bo$3o7b
3o6bo$11bo16b2o$21bo4bo2bo$o2bo4bo8bo2b3o2b5o$21bo4bo2$2o25b3o$bo27bo$
2o26b2o!

Also, I spotted in BlinkerSpawn's p30 gun a smaller version of the p2 'stack' reflector (10 cells instead of 13):

Code: Select all

x = 49, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o$o2bo$2o$5b2o4b2o4b2o10b2o4b2o10b2o$2o3bo5bo5bo11bo5bo11bo$o4b2o4b
2o4b2o10b2o4b2o10b2o$2bo!

Nice job! I reduced it bounding-box-wise in the box above, but it is still 10 cells.

[Saka]

Probably obvious, but a glider traveling in a stack is faster than one traveling out of a stack

Code: Select all

x = 76, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
74b2o$74bo$74b2o3$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o18b2o$bo5bo5bo
5bo5bo5bo5bo5bo5bo5bo18bo$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o18b2o!

In fact, each collision is a 2-cell advancer

Code: Select all

x = 76, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
74b2o$74bo$74b2o3$2o72b2o$bo72bo$2o72b2o!

Also is this reaction known? (Probably is)

Code: Select all

x = 16, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo11b2o$o13bo$2o12b2o!

[AbhpzTa]

I am still looking forward for the first log-growth (and afterwards sawtooth) pattern using the 2c/19 ship R-to-R reflector.
But I am struggling again with the timing. My idea is this ...

... This pattern works for 3 cycles and fails afterwards ...

... and I don't understand why. Does someone have any idea if this is possible, or is it impossible? If it helps it might be possible to construct a stable reflector. ...

... As for why the sawtooth partial fails, I honestly don't know. If it helps, I have calculated the generations in which the R is in the position it's shown in the second pattern:

Code: Select all

0
10125
25650
49455
85956

...

Because 23/15 is not an integer. [a(n)=151875/8*((23/15)^n-1), n>=0]
(R,G=c/2, the reciprocal of 1/2 is 2, the reciprocal of 2/19 is 19/2, (19/2 + 2)/(19/2 - 2) = 23/15)


This works:

Code: Select all

x = 24, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
12bo$10b2ob2o$10bobobo$10b2ob2o$10b4o$10b2obob2o$10b3obobo$11bobob2o2$
14bo$11bo2bo2bo$14bo2$2bo9bo$3o9bo2bo$o11bo$4bo$bobo2bo2bo$4bo$o$3o$2b
o2$3bo4bo$5b7o$5bo2bo2bo6bobo$5b2o3b2o5b5o$18bobo$8bo$7b3o8bobobo$17b
7o$4b2ob3ob2o7bobo$5bo2bo2bo$5b2o3b2o10b2o$18bo2b3o$22b2o$14bo$14bo5b
2o$15b2o2b3o$15b2o3b2o!

Generations of the (pre-)R in this position: 0, 54, 324, 1674, 8424, 42174, ...
a(n) = 27*(5^n-1)/2 , n >= 0
a(n) is always a nonnegative integer since 5^n is a positive odd number.

[2718281828]

Because 23/15 is not an integer. [a(n)=151875/8*((23/15)^n-1), n>=0]
(R,G=c/2, the reciprocal of 1/2 is 2, the reciprocal of 2/19 is 19/2, (19/2 + 2)/(19/2 - 2) = 23/15)


This works:

Code: Select all

x = 24, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
12bo$10b2ob2o$10bobobo$10b2ob2o$10b4o$10b2obob2o$10b3obobo$11bobob2o2$
14bo$11bo2bo2bo$14bo2$2bo9bo$3o9bo2bo$o11bo$4bo$bobo2bo2bo$4bo$o$3o$2b
o2$3bo4bo$5b7o$5bo2bo2bo6bobo$5b2o3b2o5b5o$18bobo$8bo$7b3o8bobobo$17b
7o$4b2ob3ob2o7bobo$5bo2bo2bo$5b2o3b2o10b2o$18bo2b3o$22b2o$14bo$14bo5b
2o$15b2o2b3o$15b2o3b2o!

Generations of the (pre-)R in this position: 0, 54, 324, 1674, 8424, 42174, ...
a(n) = 27*(5^n-1)/2 , n >= 0
a(n) is always a nonnegative integer since 5^n is a positive odd number.

Thanks and great job! So we have the first log-growth.

I just found this weird p72 oscillator, a kind of glider shuttle:

Code: Select all

x = 36, y = 35, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$19bo$21bo$20b2o5$19bobo5$2bo$4bo5bo$3b2o4b3o7bobo$10bo8b3o2$16bo9bo$
15b3o14b2o$15bobo8bo5bo$16bo17bo4$16bo$16bo$16bo4$16b2o$16bo$18bo!