Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

[dani]

c/3 backrake:

Code: Select all

x = 22, y = 47, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$b2ob2o$bobobo8bobobo$b2ob2o$b4o$b2obob2o$b3obobo6bobobobo$2bobob2o
$15bo$5bo7b2o4bo$2bo2bo2bo10b2o$5bo6bobo4bo$12bo2bo$3bo8bo4bo$3bo2bo5b
2o3b2o$3bo9bo3bo2$14bo3b2o$11bo3bobobo$10b3o2b2ob2o$9b5o3bo$10b3o$11bo
$2b3o$2bobo$4bo2$12bobo$18bo$18bo2bo$18bo2$4bobo$3b5o7bobobo$4bobo2$4b
obobo$3b7o5bobobobo$6bobo$16bo$8b2o4b2o4bo$4bo2b3o10b2o$8b2o3bobo4bo$o
12bo2bo$o5b2o5bo4bo$b2o2b3o5b2o3b2o$b2o3b2o6bo3bo!

T-puffer:

Code: Select all

x = 37, y = 47, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bobobo10bo$16b2ob2o$16bobobo8bobobo$16b2ob2o$3bobobobo6b4o$16b2obob2o
$4bo11b3obobo6bobobobo$2b2o4bo8bobob2o$8b2o20bo$bobo4bo11bo7b2o4bo$bo
2bo12bo2bo2bo10b2o$bo4bo13bo6bobo4bo$b2o3b2o19bo2bo$2bo3bo11bo8bo4bo$
18bo2bo5b2o3b2o$3bo14bo9bo3bo$3b2o$3bo25bo3b2o$2bo23bo3bobobo$25b3o2b
2ob2o$24b5o3bo$b2o3b2o17b3o$b2o2b3o18bo$o5b2o9b3o$o16bobo$8b2o9bo$4bo
2b3o$8b2o17bobo$33bo$6bobo24bo2bo$3b7o23bo$4bobobo$19bobo$4bobo11b5o7b
obobo$3b5o11bobo$4bobo$19bobobo$18b7o5bobobobo$21bobo$31bo$23b2o4b2o4b
o$19bo2b3o10b2o$23b2o3bobo4bo$15bo12bo2bo$15bo5b2o5bo4bo$16b2o2b3o5b2o
3b2o$16b2o3b2o6bo3bo!

Some R+G reactions:

R+G=2G:

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x = 5, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$2obo$b2o2$2bo$b3o$bo2bo!

R+G=R+T:

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x = 9, y = 4, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3o3b2o$o2bob2obo$6b2o!

-

I would like to see a breeder like this, but all the p34 guns didn't have enough edginess to work. Any ideas?:

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x = 114, y = 32, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9b2o17b2o17b2o17b2o17b2o$8bob2o15bob2o15bob2o15bob2o15bob2o$9b2o17b2o
17b2o17b2o17b2o24bo$112bo$112b2o$111b2o3$111b2o$112bo$111b2o$107bo$
108bo$94b2o12b2o$95bo11b2o$94b2o2$107b2o$108b2o$108bo$107bo$111b2o$
112bo$111b2o3$111b2o$112b2o$112bo$2o17b2o17b2o17b2o17b2o33bo$bo18bo18b
o18bo18bo$2o17b2o17b2o17b2o17b2o!

[BlinkerSpawn]

p38 (not 34) breeder:

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x = 80, y = 64, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
40bo$42bo$41b2o3$41bo$39b5o$39bo3bo$38b2obob2o$39bo3bo$39bo3bo$40b3o$
35bo6bo$35bo$10b2o5bo18bo5bo8b2o$11bo15b2o21bob2o$9bo7bo8b2obo6bo14b2o
24bo$27b2o6bo42bo$35bo42b2o$77b2o3$77b2o$78bo$41bo35b2o$39b5o29bo$39bo
3bo30bo$38b2obob2o15b2o12b2o$41bo19bo11b2o$31bo9bo18b2o$33bo$32b2o39b
2o$41b2o31b2o$42bo31bo$32bo7bo32bo$30b5o42b2o$30bo3bo43bo$29b2obob2o
41b2o$30bo3bo$30b5o$77b2o$26bo51b2o$26b3o3b3o43bo$b2o39b2o33bo$2bo4b3o
8b2o23bo$o17bo23b2o$18b2o6b3o$26bo6$32bo$30b5o$30bo3bo$29b2obob2o2$32b
o2$34bo$32b2o$33bo$31bo!

EDIT: p34 one with a single row of snowflakes:

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x = 58, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo$26b5o$26bobobo$25b2o3b2o2$28bo$17bo9bobo5bo$10b
2o4b3o8b3o4b3o3b2o$11bo3b5o3b2o3bo4b5o2bo$9bo6b3o4bo10b3o5bo$17bo5b2o
10bo5$14bo6bo$14b3o3b3o6b2o$12bo3bo2b5o4bob2o$12b2o6b3o6b2o24bo$21bo
34bo$56b2o$13bo41b2o$11b5o$11bo3bo$10b2obob2o33bobo2b2o$11bo3bo40bo$
11b5o39b2o$7bo5bo37bo$7b3o42bo$b2o10b3o5b2o15b2o12b2o$2bo10bobo6bo16bo
11b2o$o20b2o15b2o$7b3o$7bo6$13bo$11b5o$11bo3bo$10b2obob2o$11bo3bo$11b
5o$13bo2$12b2o$12bo$14bo!

[dani]

Oops, I posted the wrong pattern, which you used in your post along with the one I meant to post. But it's nice that we finally have a breeder! And quite an interesting one at that, being a GMOSAOSL (gun made of spaceships and one still life) generator.

The preblock-on-Z can be replaced with a carrier, and generation 14 is the lowest population generation. Removing some sparks and changing some miscellaneous stuff, we can get the minimum quadratic growth predecessor population down to 123:

Code: Select all

x = 65, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo2$25b2obob2o$26bo3bo$26b5o$28bo2$10b2o4bo17bo5b2o
$11bo13b2o13bo$9bo6bo7bob2o6bo7bo$25b2o2$28bo$27bobo$27b3o$28bo$15b2o
5bo13b2o$13bo2bo18bob2o$13b2o7bo13b2o$62b2o$63b2o$63bo3$12b3o47b2o$63b
o$62b2o$8bo$6b3o49b2o$b2o3bo4b2o15b2o15b2o12b2o$2bo2b2o5bo16bo16bo12bo
$o5bo4b2o15b2o15b2o$6b3o5bo$8bo4bobo$13b3o$14bo5$12bobo2$12bobo5$12b2o
$12bo$14bo!

[BlinkerSpawn]

Oops, I posted the wrong pattern, which you used in your post along with the one I meant to post. But it's nice that we finally have a breeder! And quite an interesting one at that, being a GMOSAOSL (gun made of spaceships and one still life) generator.

The preblock-on-Z can be replaced with a carrier, and generation 14 is the lowest population generation. Removing some sparks and changing some miscellaneous stuff, we can get the minimum quadratic growth predecessor population down to 123:

Code: Select all

x = 65, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo2$25b2obob2o$26bo3bo$26b5o$28bo2$10b2o4bo17bo5b2o
$11bo13b2o13bo$9bo6bo7bob2o6bo7bo$25b2o2$28bo$27bobo$27b3o$28bo$15b2o
5bo13b2o$13bo2bo18bob2o$13b2o7bo13b2o$62b2o$63b2o$63bo3$12b3o47b2o$63b
o$62b2o$8bo$6b3o49b2o$b2o3bo4b2o15b2o15b2o12b2o$2bo2b2o5bo16bo16bo12bo
$o5bo4b2o15b2o15b2o$6b3o5bo$8bo4bobo$13b3o$14bo5$12bobo2$12bobo5$12b2o
$12bo$14bo!

Semi-trivially pulled the puffer inwards for 113:

Code: Select all

x = 48, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo2$25b2obob2o$26bo3bo$26b5o$28bo2$10b2o4bo17bo5b2o
$11bo13b2o13bo2bo$9bo6bo7bob2o6bo7b2o$25b2o2$28bo$27bobo$27b3o$28bo$
15b2o5bo$13bo2bo$13b2o7bo$45b2o$46b2o$46bo3$12b3o30b2o$46bo$45b2o$8bo$
6b3o32b2o$b2o3bo4b2o15b2o12b2o$2bo2b2o5bo16bo12bo$o5bo4b2o15b2o$6b3o5b
o$8bo4bobo$13b3o$14bo5$12bobo2$12bobo5$12b2o$12bo$14bo!

[2718281828]

Semi-trivially pulled the puffer inwards for 113:

Code: Select all

x = 48, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo2$25b2obob2o$26bo3bo$26b5o$28bo2$10b2o4bo17bo5b2o
$11bo13b2o13bo2bo$9bo6bo7bob2o6bo7b2o$25b2o2$28bo$27bobo$27b3o$28bo$
15b2o5bo$13bo2bo$13b2o7bo$45b2o$46b2o$46bo3$12b3o30b2o$46bo$45b2o$8bo$
6b3o32b2o$b2o3bo4b2o15b2o12b2o$2bo2b2o5bo16bo12bo$o5bo4b2o15b2o$6b3o5b
o$8bo4bobo$13b3o$14bo5$12bobo2$12bobo5$12b2o$12bo$14bo!

down to 110:

Code: Select all

x = 48, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo2$25b2obob2o$26bo3bo$26b5o$28bo$42bo$10b2o4bo17bo
5bo$11bo13b2o13b2o$9bo6bo7bob2o6bo$25b2o2$28bo$27bobo$27b3o$28bo$15b2o
5bo$13bo2bo$13b2o7bo$46bo$46b2o$45b2o3$12b3o30b2o$46bo$45b2o$8bo$6b3o$
b2o3bo4b2o15b2o9bo$2bo2b2o5bo16bo12bobo$o5bo4b2o15b2o$6b3o5bo$8bo4bobo
28bo$13b3o$14bo5$12bobo2$12bobo5$12b2o$12bo$14bo!

EDIT1:
trivially down to 105:

Code: Select all

x = 48, y = 55, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
27bo$29bo$28b2o3$28bo2$25b2obob2o$26bo3bo$26b5o$28bo$42bo$10b2o4bo17bo
5bo$11bo14bo13b2o$9bo6bo7b4o6bo$26bo2$30bo2$29bo2$15b2o5bo6bo2bo$13bo
2bo$13b2o7bo$46bo$46b2o$45b2o3$12b3o30b2o$46bo$45b2o$8bo$6b3o$b2o3bo4b
2o15b2o9bo$2bo2b2o5bo16bo12bobo$o5bo4b2o15b2o$6b3o5bo$8bo5bo29bo$13b3o
$14bo5$12bobo2$12bobo5$12b2o$12bo$14bo!

[BlinkerSpawn]

Semi-trivially pulled the puffer inwards for 113:

Code: Select all

rle

down to 110:

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sneaky reduc

EDIT1:
trivially down to 106:

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more trivial reduc

92

Code: Select all

x = 47, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
32bo$34bo$33b2o5$32bobo8$32bo$31bobo5bo$31b3o3b3o$27b2o3bo4bo8bo$26b2o
bo6b2obobo2bo$27b2o8bo6b2o$bo35b3o3bo$2o37bo$b2o2$32bobo$b2o$bo$b2o$
38bo$38b3o$8bo9b2o20bo3b2o$3bobo12bo15bobobob2o2bo$18b2o12bo7bo5bo$31b
obo4b3o$3bo27b3o4bo$32bo7$32bobo6$33b2o$34bo$32bo!

EDIT: Another pull-in for 80:

Code: Select all

x = 30, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo$17bo$16b2o6$15bobo7$15bo$3bo10b3o4bo$14bobo4b3o$15bo7bo5bo$3bobo
11bobobob2o2bo$8bo14bo3b2o$21b3o$21bo$b2o$bo$b2o$15bobo2$b2o$2o20bo$bo
18b3o3bo$20bo6b2o$19b2obobo2bo$15bo4bo8bo$14b3o3b3o$14bobo5bo$15bo8$
15bobo5$16b2o$17bo$15bo!

[dani]

You forgot one of the sparks. 79:

Code: Select all

x = 30, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo$17bo$16b2o6$15bobo7$15bo$3bo10b3o4bo$14bobo4b3o$15bo7bo5bo$3bobo
11bobobob2o2bo$8bo14bo3b2o$21b3o$21bo$b2o$bo$b2o$15bobo2$b2o$2o20bo$bo
18b3o$20bo6b2o$19b2obobo2bo$15bo4bo8bo$14b3o3b3o$14bobo5bo$15bo8$15bob
o5$16b2o$17bo$15bo!

EDIT: Changed orientation for clarity

[2718281828]

You forgot one of the sparks. 79:

Code: Select all

x = 30, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo$17bo$16b2o6$15bobo7$15bo$3bo10b3o4bo$14bobo4b3o$15bo7bo5bo$3bobo
11bobobob2o2bo$8bo14bo3b2o$21b3o$21bo$b2o$bo$b2o$15bobo2$b2o$2o20bo$bo
18b3o$20bo6b2o$19b2obobo2bo$15bo4bo8bo$14b3o3b3o$14bobo5bo$15bo8$15bob
o5$16b2o$17bo$15bo!

EDIT: Changed orientation for clarity

75:

Code: Select all

x = 30, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15bo$17bo$16b2o6$15bobo7$15bo$3bo10b3o4bo$15bo5b3o$15bo7bo5bo$3bobo11b
obobob2o2bo$8bo14bo3b2o$21b3o$21bo$b2o$bo$b2o$15bobo2$b2o$2o20bo$bo18b
3o$20bo6b2o$11bo2bo4b2obobo2bo$20bo8bo$14bo5b3o$22bo$13bo8$15bobo5$16b
2o$17bo$15bo!

EDIT1:
And down to 61:

Code: Select all

x = 30, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13bo$15bo$14b2o3$20bobo3$13bobo4bobo7$15bo$3bo10b3o$15bo$15bo2bo2bo7bo
$3bobo16bo4bo$8bo9bo2bobo3b2o3$b2o$bo$b2o$15bobo$23bo$b2o$2o20bo$bo$
22bo2bo$11bo2bo12b2o$27bo$14bo5bo8bo2$13bo8$15bobo5$16b2o$17bo$15bo!

EDIT2:
For completeness, minimal linear growth with a population of 10 (based on dannys 2R+G linear growth - which seems to be the only linear growth with R/G-spaceships):

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x = 14, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo3$obo5$10bo2bo2$10bo2bo5$obo3$2bo!

EDIT3:
A 9 cell linear growth pattern:

Code: Select all

x = 5, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo3$bobo6$obobo6$bobo3$3bo!

[wildmyron]

Oops, I posted the wrong pattern, which you used in your post along with the one I meant to post. But it's nice that we finally have a breeder! And quite an interesting one at that, being a GMOSAOSL (gun made of spaceships and one still life) generator.

Seems to be a re-discovery (Search for "quadratic" on the first page of this thread).

[2718281828]

Seems to be a re-discovery (Search for "quadratic" on the first page of this thread).

Yes, it is. But the population count (with 61) is drastically reduced now. We likely need another technique to get (clearly) below 60.

EDIT1:
I think something better might be possible if we use back-rakes instead of guns. E.g. as this failed one:

Code: Select all

x = 36, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$13bo$12b3o2b3o$14bo2bobo2$22bo$21b3o$23bo8$6bo$5b3o$6bo4bo2$4bo4bo$
2b3o2bobo2bobo$3bo3b3o2b3o2$29bo2$24bo4bo$22bo10bo$22bo3bo4bobo$21b3o
2b3o2b3o$22bo4bo!

We 'just' need to find a suitable p34-back-rake...

[2718281828]

A 13G synthesis for xs6_1c6g:

Code: Select all

x = 130, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$24bobo7bo57bobo28bobo$24b3o6bobo53bo2b3o28b3o$4bo28b3o52bobo$3bobo
28bo53b3o30bo$3b3o56bo19b2o5bo4bo$4bo76bob2o11bo17bo$26bo27bo9bo17b2o
2bo29b2o$25b3o2bo27bo31bo24b2o$25bobo7b3o54bo25bo$26bo5bo2bobo22bo$5b
3o73b3o$5bobo55b3o15bobo$63bobo4$59b3o$59bobo!

It is likely not optimal but at least it is possible.
Now, we have synthesis for all still life up to a population of 6 (https://catagolue.appspot.com/census/b2 ... i7e/C1/xs6), they are in total 5 still lifes:
1: the dot, 4: half-carrier, 5: Z, 6: carrier and xs6_1c6g

By the way, is there any known still life, which can not eat either a G or an R?

[BlinkerSpawn]

p25+2N G-to-R that feels like it was known already:

Code: Select all

x = 27, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
21b2o$21bo$20b2o3$b2o11b2o8b2o$ob2o11bo8bo$b2o11b2o7bo2bo$24b3o$24bo!

[2718281828]

p25+2N G-to-R that feels like it was known already:

Code: Select all

x = 27, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
21b2o$21bo$20b2o3$b2o11b2o8b2o$ob2o11bo8bo$b2o11b2o7bo2bo$24b3o$24bo!

I think it remained undiscovered. We has the p3 reflectors for R to G, but not this one. However, we have a stable 90° reflector R to G reflector, but with greater repeat time. So it is really useful.

I did some work on still life synthesis. Now we have synthesis for all still lifes with population up to 7 (also the tricky ones, the blocked/captured G and T). I am still working on the 8. So far I have only the most common 6 out of 15.

Code: Select all

x = 332, y = 347, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$50bo24bobo$49bobo23b3o$49b3o$50bo$75b2o$13bo52b2o8bo$48b2o9b2o4b2obo
6b2o$49bo10bo5b2o$48b2o9b2o12$48bo$47bobo$47b3o$13bo2bo2bo2bo25bo2$51b
2o$47b2ob2obo$48bo2b2o$47b2o13$51bo$46bo3bobo$45bobo2b3o$13bo2bo2bo2bo
2bo19b3o3bo$46bo2$50b2o$51bo$50b2o9$46bobo19bobo$46b3o19b3o2$68bo4bo$
12bo2bo2bo2bo2bo21b2o19b3obobo$47bo5b2o12bobob3o$46b2o4b2obo12bo$12bo
40b2o12$67bobo7bo57bobo28bobo$67b3o6bobo53bo2b3o28b3o$47bo28b3o52bobo$
46bobo28bo53b3o30bo$46b3o56bo19b2o5bo4bo$47bo76bob2o11bo17bo$69bo27bo
9bo17b2o2bo29b2o$68b3o2bo27bo31bo24b2o$68bobo7b3o54bo25bo$69bo5bo2bobo
22bo$48b3o73b3o$48bobo55b3o15bobo$106bobo4$102b3o$63bobo36bobo$63b3o$
208b2o$45bobo2bo156bob2o$10bo2bo2bo2bo2bo22b3ob3o9bo109bo2bo2bo2bo2bo
24b2o$49bobo169bo19bo14bo$44b2o4bo170b3o17b3o12b3o$10bo2bo31bo20b2o
103bo2bo2bo29b2o3bobo8bo2b2o4b2o9bo14bo$44b2o20bo139bob2o2b3o11bo5bo
12bo14bo$64b3o140b2o17b2o4b2o$64bo198b2o$260bob2obo$244b2o17b2o$245bo
2b3o$244b2o2bobo6$302bobo$302b3o3$306bo$229bo20bo63b2o$68bobo15bobo
123b2o65bo34bo$68b3o15b3o123bo12bo20bo55bo11b2o$205b2o5b2o61bo28bo$
206bo23b2o21b2o27b2o6b2o11b2obo3bo$44bobo37bo120b2o22b2obo15bo4bo28bo
6b2obo11bo$44b3o18bo157b2o5b2o14bo6b2o22bo4b2o6b2o10bo$64bobo14b2o141b
o50bo$64b3o14bo141b2o$65bo17bo168bo26bo26bo$85bo165b3o$46bo19bo17b2o
165bobo$45b3o204bo55b3o$45bobo34bo225bobo$46bo$224b3o$60b3o15b3o143bob
o$60bobo15bobo16$220bo15bo14bo19bo$204b2o12b3o13b3o12b3o17b3o$45b2o11b
2o13bobo2b2o12b2o11b2o12b2o11b2o69bob2o2b3o6bo15bo14bo17bobo$41b2o2bo
12bo14b3o2bo13bo12bo13bo12bo71b2o3bobo57b2o$40bob2ob2o13bo19bo7bo5bo6b
o5bo7bo5bo8bo3bo112bo$41b2o56bo13bo4bo11b2o98b3o25b2o$77bo8bo4bo12bo
100b2o23bobo3bo14bo5b2obo6bo$45bo158bob2o11b2o37b2o$44b3o9b3o13bo132b
2o13bo2b3o19b3o23bo$44bobo9bobo12b3o51bo93b2o2bobo19bobo$45bo25bobo11b
3o15b3o7b3o11b3o$72bo12bobo15bobo7bobo11bobo$263b3o7b3o$263bobo7bobo
15$84bo$83bobo$73b2o8b3o$72bob2o8bo120bo$73b2o21bobo105bobo3bo$96b3o
105b3o2bobo56bobo$205bo3b3o5b2o13b2o25bob2o5b3o$73b2o6b2o127bo6bo14bo
6bo21bo$72bob2o5bo20bo113b2o13b2o5bobo19b2o$44bo28b2o6b2o21bo100b2o31b
3o22bo5bo$43bobo6bobo45bo2b2o100bo27bo5bo22b2o7bo$43b3o6b3o48bo101b2o
63b2o$44bo29bo27b2o$217b3o$74b3o3bo2bo2bo11bo2bo115bobo$74bobo161b3o$
238bobo$44b3o5b3o215bo$44bobo5bobo45b3o$100bobo$217b3o46b3o$217bobo46b
obo2$85b3o$85bobo11$274bobo$274b3o4$45bo235bobo$44bobo234b3o$44b3o197b
o$45bo197bobo$233b2o8b3o$48b2o59bobo120bob2o8bo$44b2ob2obo5bo14bo28bo
8b3o121b2o21bobo12b2o9bobo$45bo2b2o8bo14bo6bo21bo153b3o13bo9b3o$44b2o
11b2o13b2o5bobo19b2o168b2o$79b3o22bo5bo122b2o6b2o$74bo5bo22b2o7bo119bo
b2o5bo20bo17bo$111b2o91bo28b2o6b2o21bo17bo$203bobo6bobo45bo2b2o16b2o$
58b3o142b3o6b3o48bo17bo$58bobo143bo29bo27b2o16b2o$79b3o$79bobo152b3o3b
o2bo2bo11bo2bo$111bo122bobo2$204b3o5b3o$58b3o46b3o94bobo5bobo45b3o$58b
obo46bobo150bobo4$245b3o$245bobo15$101bo143bobo3bobo$100bobo142b3o3b3o
11b2o$100b3o162bo$101bo163b2o$147b2o$68b2o76b2obo4b2o$48b2o19bo77b2o5b
o121b2o$49bo18b2o13bobo5bo62b2o120bo$48b2ob2o30b3o140bo49b2o$51bo43bo
2bobo124bobo29bo11b2o$51b2o17bo12b2o13b3o108b2o14b3o28bobo9b2obo$69b3o
12bo17b3o97b2o5bo10bo5bo20bo5bo2b3o3b2o5b2o$69bobo11b2o17bobo42b2o54bo
5b2o5bo26bo13bo3b2obo$70bo75b2obo52b2o58b2o$83b2o62b2o$82b2obo$83b2o
141b3o$226bobo$205b2o48b3o$204bob2o4b2o5bo26bo8bobo$89b3o113b2o5bo$89b
obo120b2o8$101b3o$101bobo23$73b3o$73bobo67bobo$143b3o6$141bo$148b2o$
148bo$66bo20bo49bo10b2o$49b2o65bo22bo$49bo12bo20bo54b2obo3bo$42b2o5b2o
61bo26bo$43bo23b2o21b2o27b2o6b2o8bo$42b2o22b2obo15bo4bo28bo6b2obo$60b
2o5b2o14bo6b2o22bo4b2o6b2o$61bo50bo28bo$60b2o$89bo26bo$88b3o52b3o$88bo
bo52bobo$89bo3$61b3o$61bobo!

Moreover, I noticed that my spaceship collision script returned this 3G to R collision:

Code: Select all

x = 77, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6$53bo$55bo2$12bobo40bo$12b3o$55bo$59b2o$51bo8bo$58bo$58b2o2b2o$60bo2b
o$12bobo35bo9b2o$12b3o$43bo21bo$47b2o16bo2bo$46bobo16bo$3b2o6b2o31bo2b
2o20bo$4bo7bo7b2o6b2o$3b2o6b2o6b2obo4b2obo20b2o9bo$20b2o6b2o19bo2bo$
49b2o!

It has a repeat time of only 16. I also showed an example with out p19 G-gun. I also might be useful for constructing R-rakes.

[BlinkerSpawn]

Reduced a synthesis:

Code: Select all

EDIT: Obsoleted by the component used in the first 8-cell synth that wasn't carried over to the others

Also works for similar other SLs but doesn't appear to reduce them.
EDIT: Two more reductions and an extra related synthesis:

Code: Select all

x = 68, y = 83, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
43bo$42bobo$32b2o8b3o$31bob2o8bo$32b2o21bobo$55b3o8b2o$66bo$32b2o6b2o
24b2o$31bob2o5bo20bo$3bo28b2o6b2o21bo$2bobo6bobo45bo2b2o$2b3o6b3o48bo$
3bo29bo27b2o2$33b3o3bo2bo2bo11bo2bo$33bobo2$3b3o5b3o$3bobo5bobo45b3o$
59bobo4$44b3o$44bobo13$4bo30bobo$3bobo29b3o$3b3o$4bo28bo$32bobo$32b3o$
25b2o6bo23b2o$26bo26bo3bo2b2o$5b3o17b2o32b2o$5bobo26bo27bo$36bo19bo3$
29b3o$5b3o21bobo$5bobo3$52b3o$52bobo11$bo$obo50bobo$3o24bobo3bobo17b3o
$bo25b3o3b3o$57bo$31bo$30bobo27bo$30b3o21bo3bo$2b3o18b2o6bo26b2o$2bobo
19bo36b2o$23b2o35b2o$32bo30bo$34bo2$2b3o$2bobo!

EDIT further:

Code: Select all

x = 61, y = 50, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
21bobo$21b3o34bobo$bo56b3o$obo$3o53bo$bo53bobo$23bo31b3o$22b3o2bo21b2o
5bo$22bobo23bob2o$23bo5bo19b2o2bo$2b3o52bo$2bobo54bo2$48b3o$48bobo4$
28b3o$28bobo12$43bo$42bobo$42b3o$43bo2$18bobo$18b3o18bo$38bobo$38b3o$
39bo2$20bo19bo$19b3o$19bobo$20bo$35bo$34b3o$34bobo$35bo!

Updated table:

Code: Select all

x = 306, y = 322, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
40bo24bobo$39bobo23b3o$39b3o$40bo$65b2o$3bo52b2o8bo$38b2o9b2o4b2obo6b
2o$39bo10bo5b2o$38b2o9b2o12$38bo$37bobo$37b3o$3bo2bo2bo2bo25bo2$41b2o$
37b2ob2obo$38bo2b2o$37b2o13$41bo$36bo3bobo$35bobo2b3o$3bo2bo2bo2bo2bo
19b3o3bo$36bo2$40b2o$41bo$40b2o9$36bobo19bobo$36b3o19b3o2$58bo4bo$2bo
2bo2bo2bo2bo21b2o19b3obobo$37bo5b2o12bobob3o$36b2o4b2obo12bo$2bo40b2o
6$57bo$56bobo34bobo$36bo19b3o34b3o$35bobo19bo$35b3o53bo$36bo20b3o30bob
o$57bobo30b3o$62bo21b2o5bo$83bob2o$64bo19b2o2bo$37b3o52bo$37bobo54bo2$
83b3o$83bobo2$64bo$63b3o$63bobo$64bo4$53bobo$53b3o$198b2o$35bobo2bo
156bob2o$o2bo2bo2bo2bo22b3ob3o9bo109bo2bo2bo2bo2bo24b2o$39bobo169bo19b
o14bo$34b2o4bo170b3o17b3o12b3o$o2bo31bo20b2o103bo2bo2bo29b2o3bobo8bo2b
2o4b2o9bo14bo$34b2o20bo139bob2o2b3o11bo5bo12bo14bo$54b3o140b2o17b2o4b
2o$54bo198b2o$250bob2obo$234b2o17b2o$235bo2b3o$234b2o2bobo6$292bobo$
292b3o3$296bo$219bo20bo63b2o$55bo146b2o65bo34bo$54bobo145bo12bo20bo55b
o11b2o$54b3o138b2o5b2o61bo28bo$55bo140bo23b2o21b2o27b2o6b2o11b2obo3bo$
195b2o22b2obo15bo4bo28bo6b2obo11bo$30bobo180b2o5b2o14bo6b2o22bo4b2o6b
2o10bo$30b3o18bo162bo50bo$50bobo160b2o$50b3o189bo26bo26bo$51bo189b3o$
241bobo$32bo19bo189bo55b3o$31b3o264bobo$31bobo$32bo181b3o$47bo166bobo$
46b3o$46bobo$47bo14$210bo15bo14bo19bo$194b2o12b3o13b3o12b3o17b3o$27b2o
18b2o18b2o13b2o109bob2o2b3o6bo15bo14bo17bobo$28bo2b2o15bo2b2o4b2o9bo
14bo110b2o3bobo57b2o$27b2ob2obo12bo4bo5bo8bo3bo10bo3bo151bo$31b2o18b2o
4b2o161b3o25b2o$88b2o105b2o23bobo3bo14bo5b2obo6bo$28bo56bob2obo103bob
2o11b2o37b2o$27b3o39b2o17b2o105b2o13bo2b3o19b3o23bo$27bobo40bo2b3o133b
2o2bobo19bobo$28bo40b2o2bobo2$253b3o7b3o$253bobo7bobo18$195bo$194bobo
3bo$50bobo141b3o2bobo$50b3o34bobo105bo3b3o$30bo56b3o110bo10b2o18b2o13b
2o$29bobo179bo19bo14bo$29b3o53bo109b2o13b2o2b2o4b2o8b2o13b2o$30bo53bob
o21bobo84bo18bo5bo12bo14bo$52bo31b3o21b3o84b2o17b2o4b2o$51b3o2bo21b2o
5bo165b2o$51bobo23bob2o22bo144bob2obo$52bo5bo19b2o2bo22b2o125b2o17b2o$
31b3o52bo17b2o127bo2b3o$31bobo54bo18bo124b2o2bobo2$77b3o$77bobo4$57b3o
$57bobo16$35bo$34bobo$34b3o180bobo$35bo181b3o34bobo$197bo56b3o$38b2o
156bobo$34b2ob2obo15bo19bo14bo104b3o53bo$35bo2b2o18bo19bo14bo103bo53bo
bo21bobo$34b2o21b2o2b2o4b2o8b2o13b2o125bo31b3o21b3o$61bo5bo12bo14bo
122b3o2bo21b2o5bo$61b2o4b2o149bobo23bob2o22bo$98b2o119bo5bo19b2o2bo22b
2o$95bob2obo97b3o52bo17b2o$79b2o17b2o98bobo54bo18bo$80bo2b3o$79b2o2bob
o158b3o20b3o$244bobo20bobo4$224b3o$224bobo15$49b2o$32bobo13bob2o$32b3o
14b2o3bobo$54b3o3b2o20bo$60bo$54bo5b2o19bobo2bo$81b3o2$33b3o19bo26bo
111bo30bobo$33bobo157bobo29b3o$193b3o$194bo28bo$55bo32b3o131bobo$54b3o
31bobo131b3o$54bobo158b2o6bo23b2o$33b3o19bo160bo26bo3bo2b2o$33bobo159b
3o17b2o32b2o$195bobo26bo27bo$226bo19bo3$219b3o$195b3o21bobo$195bobo3$
242b3o$242bobo11$63b3o$63bobo67bobo$133b3o6$131bo$138b2o$138bo$56bo20b
o49bo10b2o$39b2o65bo22bo$39bo12bo20bo54b2obo3bo$32b2o5b2o61bo26bo$33bo
23b2o21b2o27b2o6b2o8bo$32b2o22b2obo15bo4bo28bo6b2obo$50b2o5b2o14bo6b2o
22bo4b2o6b2o$51bo50bo28bo$50b2o$79bo26bo$78b3o52b3o$78bobo52bobo$79bo
3$51b3o$51bobo!

[2718281828]

Updated table:

Code: Select all

RLE

Thanks a lot!

I continued with the 8 bit still life. Now we have a synthesis for 14/15, only xs8_146og4 (https://catagolue.appspot.com/object/xs ... 4iz5ar6i7e) is missing.
The new table

Code: Select all

x = 336, y = 457, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6$211b2o$210bob2o$43bo24bobo103bo2bo2bo2bo2bo24b2o$42bobo23b3o153bo19b
o14bo$42b3o179b3o17b3o12b3o$43bo130bo2bo2bo29b2o3bobo8bo2b2o4b2o9bo14b
o$68b2o139bob2o2b3o11bo5bo12bo14bo$6bo52b2o8bo140b2o17b2o4b2o$41b2o9b
2o4b2obo6b2o196b2o$42bo10bo5b2o202bob2obo$41b2o9b2o193b2o17b2o$248bo2b
3o$247b2o2bobo6$305bobo$305b3o3$41bo267bo$40bobo189bo20bo63b2o$40b3o
172b2o65bo34bo$6bo2bo2bo2bo25bo173bo12bo20bo55bo11b2o$208b2o5b2o61bo
28bo$44b2o163bo23b2o21b2o27b2o6b2o11b2obo3bo$40b2ob2obo161b2o22b2obo
15bo4bo28bo6b2obo11bo$41bo2b2o180b2o5b2o14bo6b2o22bo4b2o6b2o10bo$40b2o
185bo50bo$226b2o$255bo26bo26bo$254b3o$254bobo$255bo55b3o$311bobo2$227b
3o$227bobo4$44bo$39bo3bobo$38bobo2b3o$6bo2bo2bo2bo2bo19b3o3bo$39bo2$
43b2o$44bo$43b2o5$223bo15bo14bo19bo$207b2o12b3o13b3o12b3o17b3o$206bob
2o2b3o6bo15bo14bo17bobo$207b2o3bobo57b2o$39bobo19bobo186bo$39b3o19b3o
169b3o25b2o$208b2o23bobo3bo14bo5b2obo6bo$61bo4bo140bob2o11b2o37b2o$5bo
2bo2bo2bo2bo21b2o19b3obobo141b2o13bo2b3o19b3o23bo$40bo5b2o12bobob3o
155b2o2bobo19bobo$39b2o4b2obo12bo$5bo40b2o$266b3o7b3o$266bobo7bobo4$
60bo$59bobo34bobo$39bo19b3o34b3o$38bobo19bo$38b3o53bo$39bo20b3o30bobo$
60bobo30b3o$65bo21b2o5bo$86bob2o$67bo19b2o2bo$40b3o52bo$40bobo54bo$
215bo$86b3o125bobo3bo$86bobo125b3o2bobo$215bo3b3o$67bo152bo10b2o18b2o
13b2o$66b3o162bo19bo14bo$66bobo146b2o13b2o2b2o4b2o8b2o13b2o$67bo147bo
18bo5bo12bo14bo$215b2o17b2o4b2o$271b2o$268bob2obo$56bobo193b2o17b2o$
56b3o194bo2b3o$252b2o2bobo$38bobo2bo$3bo2bo2bo2bo2bo22b3ob3o9bo$42bobo
$37b2o4bo$3bo2bo31bo20b2o$37b2o20bo$57b3o$57bo16$58bo$57bobo$57b3o177b
obo$58bo178b3o34bobo$217bo56b3o$33bobo180bobo$33b3o18bo161b3o53bo$53bo
bo161bo53bobo21bobo$53b3o183bo31b3o21b3o$54bo183b3o2bo21b2o5bo$238bobo
23bob2o22bo$35bo19bo183bo5bo19b2o2bo22b2o$34b3o181b3o52bo17b2o$34bobo
181bobo54bo18bo$35bo$50bo213b3o20b3o$49b3o212bobo20bobo$49bobo$50bo2$
244b3o$244bobo13$30b2o18b2o18b2o13b2o$31bo2b2o15bo2b2o4b2o9bo14bo$30b
2ob2obo12bo4bo5bo8bo3bo10bo3bo$34b2o18b2o4b2o$91b2o$31bo56bob2obo$30b
3o39b2o17b2o$30bobo40bo2b3o$31bo40b2o2bobo2$214bo30bobo$213bobo29b3o$
213b3o$214bo28bo$242bobo$242b3o$235b2o6bo23b2o$236bo26bo3bo2b2o$215b3o
17b2o32b2o$215bobo26bo27bo$246bo19bo3$239b3o$215b3o21bobo$215bobo3$
262b3o$262bobo2$53bobo$53b3o34bobo$33bo56b3o$32bobo$32b3o53bo$33bo53bo
bo21bobo$55bo31b3o21b3o$54b3o2bo21b2o5bo$54bobo23bob2o22bo$55bo5bo19b
2o2bo22b2o$34b3o52bo17b2o182bobo$34bobo54bo18bo180b3o2$80b3o$80bobo
222bo$304bobo$239bo64b3o3b2o$238bobo34bobo27bo3b2obo$60b3o155bo19b3o
34b3o32b2o$60bobo154bobo19bo$217b3o53bo$218bo20b3o30bobo$239bobo30b3o$
244bo21b2o5bo29b3o$265bob2o26bo7bobo$246bo19b2o2bo26b2o$219b3o52bo21b
2o$219bobo54bo22bo2$265b3o$265bobo2$246bo$245b3o$245bobo$38bo207bo$37b
obo$37b3o$38bo2$41b2o$37b2ob2obo15bo19bo14bo$38bo2b2o18bo19bo14bo$37b
2o21b2o2b2o4b2o8b2o13b2o$64bo5bo12bo14bo146bo$64b2o4b2o172bobo$101b2o
141b3o$98bob2obo141bo$82b2o17b2o$83bo2b3o$82b2o2bobo138bobo$227b3o$
232bo11b2o$204b2o25bobo10bo$205bo25b3o3bo2bo3b2o$204b2o3bobo16b2o2bo$
209b3o17bo$228b2o13b3o$209b2o21b2o3b2o4bobo$210bo20bob2o2bo$209b2o21b
2o3b2o3$230b3o$230bobo11$244bobo$94bo126bobo2b2o16b3o$93bobo110bo14b3o
2bo$93b3o109bobo18b2o$94bo110b3o31bobo3bo$140b2o64bo32b3o$61b2o76b2obo
4b2o$41b2o19bo77b2o5bo72bo9b2o7bo3b2o$42bo18b2o13bobo5bo62b2o81bo12bo$
41b2ob2o30b3o143bo7b2o9bob2o$44bo43bo2bobo113b3o$44b2o17bo12b2o13b3o
113bobo30bo$62b3o12bo17b3o123b2o23bo$62bobo11b2o17bobo42b2o74b3o2bo6b
3o$63bo75b2obo73bobo2b2o5bobo8b3o$76b2o62b2o97bobo3b3o$75b2obo166bobo$
76b2o4$82b3o$82bobo8$94b3o$94bobo123bobo$206bobo11b3o26bobo$206b3o26bo
bo11b3o$226bo8b3o9bo3$205b2o22b2o3b2o11b2o$206bo10b2o11bo2b2obo10bo2bo
2bo$205b2o11bo10b2o3b2o9bob2o$217b2o4b2o31b2o$224bo21bo9bo$223b2o5b2o
24b2o$230bo$230b2o$248bo$250b3o$250bobo4$225bo$224bobo$224b3o$66b3o
156bo$66bobo67bobo$136b3o2$229bo$228bobo$218bo9b3o$217bobo9bo$134bo71b
2o9b3o4bobo$141b2o62bob2o9bo5b3o$141bo64b2o$59bo20bo49bo10b2o$42b2o65b
o22bo80bobo$42bo12bo20bo54b2obo3bo74b3ob3o11b2o$35b2o5b2o61bo26bo84bob
o10b2obo$36bo23b2o21b2o27b2o6b2o8bo100b2o$35b2o22b2obo15bo4bo28bo6b2ob
o$53b2o5b2o14bo6b2o22bo4b2o6b2o$54bo50bo28bo$53b2o169b3o$82bo26bo106bo
7bobo$81b3o52b3o76b3o$81bobo52bobo76bobo$82bo133bo3$54b3o$54bobo4$205b
o$204bobo$204b3o$205bo31b2o$222bo13b2obo$224bo12b2o$206b3o$206bobo$
226b2o2b2o$225bob2obo$226b2o2b2o$237b2o$206b3o14bo12b2obo$206bobo13b3o
12b2o4b2o$222bobo17b2obo$223bo19b2o6$212bo2bo$210bo$217bo3$216bo$213bo
$211bo$229bo$231bo$210bo6bo12b2o2bo$232bo$212bo2bo16b2o3$213b2o$213bo$
215bo6$248bobo$248b3o2$241b2o$242bo$220b2o19b2o$220bo8b2o13bo$220b2o6b
ob2o11bobo$214b2o13b2o12b3o5bo$213bob2o22b3o2bo$214b2ob3o19bobo7bo$
217bobo23b3o$243bobo5bo8$241bobo$241b3o3$218b2o$217bob2o$218b2o3$237b
2o3b2o$238bo2b2obo$237b2o3b2o4$237b2o4b2o12b2o$238bo3b2obo11bo$237b2o
4b2o12b2o2$233bo$213b2o$208b3o2bo$208bobo2b2o6$233bo$232b3o$232bobo$
233bo$245b3o$245bobo!

[BlinkerSpawn]

Updated table:

Code: Select all

RLE

Thanks a lot!

I continued with the 8 bit still life. Now we have a synthesis for 14/15, only xs8_146og4 (https://catagolue.appspot.com/object/xs ... 4iz5ar6i7e) is missing.
The new table

Code: Select all

rle

Replaced a component and subbed in more 8-cell reductions I made while you were posting this:

Code: Select all

x = 274, y = 398, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
208b2o$207bob2o$40bo24bobo103bo2bo2bo2bo2bo24b2o$39bobo23b3o153bo19bo
14bo$39b3o179b3o17b3o12b3o$40bo130bo2bo2bo29b2o3bobo8bo2b2o4b2o9bo14bo
$65b2o139bob2o2b3o11bo5bo12bo14bo$3bo52b2o8bo140b2o17b2o4b2o$38b2o9b2o
4b2obo6b2o196b2o$39bo10bo5b2o202bob2obo$38b2o9b2o193b2o17b2o$245bo2b3o
$244b2o2bobo9$206bo$38bo166bobo$37bobo165b3o$37b3o166bo20b2o$3bo2bo2bo
2bo25bo189bo3bo$227b2o$41b2o191bo$37b2ob2obo$38bo2b2o164b3o17b2o5b3o$
37b2o168bobo18bo5bobo$227b2o$239b2o$238b2obo$232bo6b2o$231b3o$231bobo$
232bo6$41bo$36bo3bobo$35bobo2b3o$3bo2bo2bo2bo2bo19b3o3bo$36bo2$40b2o
182bo$41bo181bobo$40b2o181b3o$224bo5$204b2o14b2o3b2o$40bo162bob2o2b3o
9bo2b2obo$39bobo162b2o3bobo8b2o3b2o$39b3o16bobo180b2o$40bo17b3o181bobo
$205b2o16bo3b2o11b3o$58bo4bo140bob2o13b3o2b2obo10bo$2bo2bo2bo2bo2bo42b
3obobo141b2o14bo5b2o$34b2o21bobob3o178bo$35bo2b3o17bo$2bo31b2o2bobo
185bo12b2o$225b3o12bo$225bobo11b2o$226bo6$37bo$36bobo$31b2o3b3o$32bo4b
o7b2o165bo$31b2o12bo165bobo3bo$45b2o164b3o2bobo$35b3o174bo3b3o$35bobo
179bo10b2o18b2o13b2o$228bo19bo14bo$212b2o13b2o2b2o4b2o8b2o13b2o$42bo
169bo18bo5bo12bo14bo$41b3o168b2o17b2o4b2o$41bobo224b2o$42bo222bob2obo$
249b2o17b2o$250bo2b3o$249b2o2bobo4$53bobo$53b3o2$35bobo2bo$o2bo2bo2bo
2bo22b3ob3o9bo$39bobo$34b2o4bo$o2bo31bo20b2o$34b2o20bo$54b3o$54bo3$
219bo$218bobo31bobo$213b2o3b3o31b3o$214bo4bo7b2o$213b2o12bo19bo$227b2o
20b2o$217b3o28b2o$217bobo31bo2$244b3o$224bo19bobo$223b3o$223bobo$55bo
168bo$54bobo$54b3o$55bo2$30bobo$30b3o18bo$50bobo$50b3o$51bo2$32bo19bo$
31b3o$31bobo$32bo182bo30bobo$47bo166bobo29b3o$46b3o165b3o$46bobo166bo
28bo$47bo195bobo$243b3o$236b2o6bo23b2o$237bo26bo3bo2b2o$216b3o17b2o32b
2o$216bobo26bo27bo$247bo19bo3$240b3o$216b3o21bobo$216bobo3$263b3o$263b
obo$27b2o18b2o18b2o13b2o$28bo2b2o15bo2b2o4b2o9bo14bo$27b2ob2obo12bo4bo
5bo8bo3bo10bo3bo$31b2o18b2o4b2o$88b2o$28bo56bob2obo$27b3o39b2o17b2o$
27bobo40bo2b3o$28bo40b2o2bobo3$210bo$209bobo$204b2o3b3o18bo19bo$205bo
4bo7b2o12b2o18b2o$204b2o12bo12b2o18b2o$218b2o14bo19bo$208b3o$208bobo
46b2o$254bob2obo$233b2o22b2o$215bo18bo2b3o$214b3o16b2o2bobo$214bobo$
215bo13$38bo$37bobo193bo$32b2o3b3o192bobo$33bo4bo7b2o184b3o$32b2o12bo
186bo$46b2o14bobo$36b3o23b3o$36bobo195bobo$57bo176b3o3b2o17bo$59b2o
142b2o21b2o12bo$43bo14b2o144bo20bob2o2bo2bo5b2o16bobo2bo$42b3o16bo141b
2o3bobo15b2o28bob3o$42bobo163b3o27b2o18bo7b2o$43bo193b2obo25bo$208b2o
28b2o26b2o$209bo$208b2o$234bo$233b3o$233bobo$234bo9$35bo200bobo$34bobo
199b3o$34b3o$35bo$205bobo$38b2o165b3o30b2o$34b2ob2obo15bo19bo14bo135b
2o8b2obo$35bo2b2o18bo19bo14bo132bob2o8b2o$34b2o21b2o2b2o4b2o8b2o13b2o
133b2o$61bo5bo12bo14bo137b2o$61b2o4b2o138bo25bo7b2o$98b2o106b3o22bob2o
6bo$95bob2obo105bobo32b2o$79b2o17b2o107bo15b2o$80bo2b3o138bo4bo$79b2o
2bobo137b2o3b3o$228bobo5b3o$229bo6bobo10$243bo$242bobo$242b3o$243bo2$
215bobo2b2o$215b3o2bo19b2o20bo$220b2o13b2o4bo$206bobo27bo3b2obo14bo2bo
bo$48b2o156b3o26b2o24b3o$31bobo13bob2o170bo22bo8b2o10bo$31b3o14b2o3bob
o198bo8bo$53b3o3b2o20bo137bo22bo10b2o$59bo$53bo5b2o19bobo2bo119bo$80b
3o121b3o$204bobo34b3o$32b3o19bo26bo123bo35bobo$32bobo3$54bo32b3o$53b3o
31bobo$53bobo$32b3o19bo$32bobo$224bo$223bobo$223b3o$224bo4$228bo$227bo
bo$217bo9b3o$216bobo9bo$205b2o9b3o4bobo$204bob2o9bo5b3o$205b2o2$212bob
o$212b3ob3o11b2o$216bobo10b2obo$230b2o3$38bo$37bobo183b3o$37b3o175bo7b
obo$38bo175b3o$68bobo143bobo$68b3o144bo3$42b2o47bo3bo$34b2o6bo16b2o8bo
23bo$35bo6b2o16bo3bo27b3o115bo$34b2o23b2o148bobo$66bo26bo115b3o$210bo$
59b2o5b3o5b2o$60bo5bobo5bo138b2o$59b2o13b2o19bo113b2ob2obo$210bo2b2o$
101b2o106b2o$64bo4bo31bo115b2o$63b3o2b3o30b2o110b2o2bo$63bobo2bobo141b
ob2ob2o$64bo4bo143b2o2$217bo$216b3o$216bobo$217bo4$232bo$205bobo22bobo
11b2o$205b3o22b3o12bo$244b2o$224b2o$225bo21bo2bo$215b2o7b2o26bo$215bo
19bo15b2o2bo$215b2o36bo$231bo2bo18b2o5$209b3o$209bobo18b3o$230bobo10$
247bobo$247b3o2$240b2o$241bo$219b2o19b2o$219bo8b2o13bo$219b2o6bob2o11b
obo$213b2o13b2o12b3o5bo$212bob2o22b3o2bo$213b2ob3o19bobo7bo$216bobo23b
3o$242bobo5bo15$244bo$243bobo$243b3o$244bo$253b2o$252b2obo$253b2o$247b
obo$222b2o23b3o$208b2o5b2o5bo$209bo6bo5b2o23bo$208b2o5b2o27bo12b2o$
252bo4bo$251b3o3b2o$251bobo$252bo$243b3o$243bobo!

Adapting the new trapped-G mechanism to the 8-cell variants is an exercise for the reader
EDIT: Did one of the two, along with some other assorted reductions.
EDIT 2: More updates, and this nice reaction:

Code: Select all

This could be done with the standard 1G converter, what was I thinking?

EDIT 3: More small stuff/substitutions that should've been done earlier, and the realization that the other trapped G is actually cheaper the natural way due to slightly different geometry.
Also, the 7-cell trapped-T is actually the costliest recipe in this list now.
EDIT 4: Added AbhpzTa's three-glider reduction to the 6-cell SL and most derived syntheses.
5: and a slightly compactified recipe for the last 8-cell

[2718281828]

While doing 1x256 apgsearch (and hoping for a recipe for xs8_146og4) a new natural gun popped up, a double p20 R-gun. As far as I know the first natural R-gun.
It looks like this (left):

Code: Select all

x = 79, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$74bo$13bo31bo26bo$13b3o29b3o24b2o$10bo4bo26bo4bo21bo$15b2o$10bo31bo
26bo2$3bo6bo6bo17bo6bo6bo12bo6bo6bo4$3bo6bo6bo17bo6bo6bo12bo6bo6bo2$
10bo31bo26bo$15b2o$10bo4bo26bo4bo21bo$13b3o29b3o24b2o$13bo23bo7bo26bo$
37b3o34bo$39bo$66bo!

The middle shows a bounding area reduction, and the right hand side a population reduction for a one-sided gun.

[2718281828]

This 9c/21 snowflake fuse

Code: Select all

x = 16, y = 52, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo5$8bo4$8bo5$8bo4$8bo5$8bo4$8bo5$8bo4$8bo5$8bo2$8bo$6b5o$6bo3bo$5b2o
bob2o$6bo3bo$6b5o$8bo!

might support a spaceship. But ./ntzfind B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e w6 p21 k9 u s200 l5000 > Snowflakes_p21k9u_w6l5000.txt was negative after 1200sec.

However we can create this expanding spaceship, where the tail is 9c/21:

Code: Select all

x = 25, y = 85, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo7bo$3b3o2bo2b3o$3bo3b3o3bo$7bobo$6bobobo$8bo$7b3o$6bobobo$7b3o$8bo
2$2b3o7b3o$2bobo7bobo$4bo7bo$8bo2$6b5o$7bobo2$5b2o3b2o3$8bo3$14bo7bo$
8bo4b3o2bo2b3o$13bo3b3o3bo$17bobo$16bobobo5$18bo2$12b3o7b3o$12bobo3bo
3bobo$14bo7bo2$8bo$17b3o$17bobo$3b3o11b3o$3bobo2bo$5bo4$4b3o11bo$4bobo
$6bo2$18bo$21b3o$5b3o13bobo$5bobo13bo$7bo$11bo2$20b3o$6b3o11bobo$6bobo
2bo8bo$8bo3$19b3o$7b3o6bo2bobo$7bobo9bo$9bo2$15bo$18b3o$8b3o7bobo$8bob
o7bo$10bo$14bo2$14bo$12b5o$12bo3bo$11b2obob2o$12bo3bo$12b5o$14bo!

EDIT1:
This (0,9) snowflake pull reaction is quite fun, especially as the maximal speed of 9c/21 is quite fast.
But it can be used for other speeds as well, i.e. 9c/(21+N). The second reaction shown below supports 9c/22:

Code: Select all

x = 152, y = 74, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9$23b2o$7b2o14bo$8bo14b3o117bo$6b3o132bobo$141b3o$17b2o$13b2o2bo$14bo
2b3o$12b3o123bo$85b3o48bobo$46b3o36bo50b3o$15bo32bo36b2o$13b5o29b2o$
13bo3bo$12b2obob2o60b3o$13bo3bo34b3o24bo$13b5o36bo24b2o$15bo37b2o$74b
2o61b2o$58b2o14bo46b2o14bo$59bo14b3o45bo14b3o$57b3o60b3o2$68b2o61b2o$
64b2o2bo58b2o2bo$65bo2b3o57bo2b3o$63b3o60b3o3$66bo62bo$64b5o58b5o$64bo
3bo58bo3bo$63b2obob2o56b2obob2o$23b2o39bo3bo58bo3bo$7b2o14bo40b5o58b5o
$8bo14b3o40bo62bo5b3o$6b3o126bobo$137bo$17b2o$13b2o2bo$14bo2b3o$12b3o
125b3o$140bobo$142bo2$15bo$13b5o$13bo3bo$12b2obob2o$13bo3bo$13b5o$15bo
8$14b3o$14bobo!

Also diagonal and knight-ships might be possible.

[AbhpzTa]

Reduced a synthesis for xs6_1c6g to 5G:

Code: Select all

x = 28, y = 30, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bobo$9b3o10$20b2o$b2o17bo$ob2o16b2o$b2o3$25b2o$24b2obo$25b2o9$10b3o$
10bobo!

[BlinkerSpawn]

Reduced a synthesis for xs6_1c6g to 5G:

Code: Select all

x = 28, y = 30, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bobo$9b3o10$20b2o$b2o17bo$ob2o16b2o$b2o3$25b2o$24b2obo$25b2o9$10b3o$
10bobo!

Neat! I'll get around to adding that in.
On a related note, the least impossible-looking predecessor for the last 8-cell:

Code: Select all

x = 9, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3bo$2b2o2bo2$7bo$5o2bo$bobo3b2o!

[AbhpzTa]

Reduced a synthesis for xs6_1c6g to 5G:

Code: Select all

x = 28, y = 30, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9bobo$9b3o10$20b2o$b2o17bo$ob2o16b2o$b2o3$25b2o$24b2obo$25b2o9$10b3o$
10bobo!

Neat! I'll get around to adding that in.
On a related note, the least impossible-looking predecessor for the last 8-cell:

Code: Select all

x = 9, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3bo$2b2o2bo2$7bo$5o2bo$bobo3b2o!

6G+1R:

Code: Select all

x = 99, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo27bobo32bo$3o27b3o30bobo$63b3o3$10b2o81bo$10bo50bo33bo$10b2o26bo29b
o25b2o2bo$96bo$34bo2bo26bo2bo28b2o4$4b3o$4bobo$30bo32b3o$29b3o31bobo$
29bobo$30bo!

[BlinkerSpawn]

On a related note, the least impossible-looking predecessor for the last 8-cell:

Code: Select all

x = 9, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3bo$2b2o2bo2$7bo$5o2bo$bobo3b2o!

6G+1R:

Code: Select all

x = 99, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo27bobo32bo$3o27b3o30bobo$63b3o3$10b2o81bo$10bo50bo33bo$10b2o26bo29b
o25b2o2bo$96bo$34bo2bo26bo2bo28b2o4$4b3o$4bobo$30bo32b3o$29b3o31bobo$
29bobo$30bo!

Related synthesis:

Code: Select all

x = 49, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
35b2o8bo$obo33bo6bobo$3o32b2o6b3o4$10b2o14b2o$10bo16bo20bo$10b2o14b2o
12bo$39b3o2bo2bo$39bobo$40bo3$4b3o$4bobo36b3o$43bobo!

[2718281828]

Great job with the synthesis improvement, especially the relatively simple xs8_146og4.

I think it would be quite a lot work to get the 39 9-bit ones done (https://catagolue.appspot.com/object/xs ... 4iz5ar6i7e) even though we have recipes for creating/extending them from smaller still lifes.

Moreover, I think it will be really hard to get a synthesis for xs9_2g7d04(https://catagolue.appspot.com/object/xs ... 4iz5ar6i7e). In the soups I checked so far it always appears in the second generation. Moreover it does not show up in any 1x256, 2x128 or 4x64 soup which is not a good sign for synthesis. It might be possible that there exists no synthesis for it.

[BlinkerSpawn]

Moreover, I think it will be really hard to get a synthesis for xs9_2g7d04(https://catagolue.appspot.com/object/xs ... 4iz5ar6i7e). In the soups I checked so far it always appears in the second generation. Moreover it does not show up in any 1x256, 2x128 or 4x64 soup which is not a good sign for synthesis. It might be possible that there exists no synthesis for it.

At most 12G:

Code: Select all

x = 24, y = 20, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$6bobo$6b3o$7bo4$7bo2$4bo$14b2o$5bob2o4b2obo$7bo6b2o$2o5b2o$bo19b2o
$2o18b2obo$10bo10b2o$9b3o$4b3o2bobo$4bobo3bo!

The other variant (the second-least common xs9) might actually be harder since this one's dot placement coincided with the snowflake decay.
I wonder what a minimal GoE looks like in this rule.

[2718281828]

At most 12G:

Code: Select all

RLE

The other variant (the second-least common xs9) might actually be harder since this one's dot placement coincided with the snowflake decay.
I wonder what a minimal GoE looks like in this rule.

Great. It makes me more confident that we can synthesise the majority of all still lifes.

The synthesis in 11G (4G for the 3 dots as there is no 3G option).

Code: Select all

x = 49, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$30bo$29bobo$29b3o$30bo3$7b2o$2b2o3bo22bo$3bo3b2o$2b2o23bo$6b2o4b2o
23b2o$6bo5bo15bob2o4b2obo$6b2o4b2o16bo6b2o$23b2o5b2o$24bo19b2o$23b2o
18b2obo$33bo10b2o$32b3o$27b3o2bobo$27bobo3bo!

EDIT1:
Something on the accidental:

Code: Select all

x = 16, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$2bo$4b3o$3b2obo2$4bo$7b2o$3bo3bo$2b3o2b2o3b2o$2bobo7bo$3bo8b2o!