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B2-ac3i4a/S12

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B2-ac3i4a/S12

Postby drc » July 9th, 2017, 3:41 am

Hot off the heels of B2-ac3i/S12, here's a rule that's way more interesting than it.

It has 7 natural gliders. A 2c/4, 4c/8, 2c/8, c/6, 2c/12, c/14 orthogonal, as well as a c/7 diagonal:
x = 10, y = 66, rule = B2-ac3i4a/S12
3bo$obobo2$obobo$3bo4$2bo$ob2ob2o$obobo3bo$obobobo2bo$obobobo2bo$2bobo
3bo$obo2b2o4$bo$o$o$bo3$2obobo$bo3bo$bo3bo$2obobo5$2bo$2bo$bo$o$bo$2bo
$2bo7$2bo$2o6$2o$2bo8$3b2o$bo2bo2$o$2o!

Where as B2-ac3i/S12's soups were very stable and stabilized in very few generations, B2-ac3i4a/S12's soups seem to last longer, but always stabilize eventually.

Alongside the natural spaceships, there exist artificial spaceships of speeds c/2, 2c/4, c/3, 2c/6, and 2c/8 orthogonal, as well as puffers for xc/2x and c/3:
x = 335, y = 59, rule = B2-ac3i4a/S12
2b2o9b2o14bo11b2o7b2o11b2o16b2o11b2o7b2o11b2o26bo57b2o7b2o9b4o2b2o13b
2o13b2o17b2o14bobo27bo6bo$bo3b2o5bo3b2o10bobo9bo2bo5bo2bo4b4obo2bob4o
4b4obo2bob4o4bo2bo5bo2bo4b4obo2bob4o18bo3bo54bo2bo5bo2bo8bo2bobo2bo11b
o2bo11bo2bo15bo2bo12bo3bo24b2obo4bob2o$7bo10bo5b2o7b2o11bo10bo2bo6bo2b
o4bo2bo6bo2bo10bo10bo2bo6bo2bo17b2o3b2o59bo13bobobo67bobo25bobo6bobo$o
bo8bobo9bo2bobobobo2bo3bobobobobobobobo2bobobobo2bobobobo2bobobobo2bob
obobo2bobobobobobobobo2bobobobo2bobobobo16b2o3b2o52bobobobobobobobo6bo
bobobobobo9bob2obo9bob2obo13bob2obo42b3o2b3o$2bo3bobo4bo3bobo8bobo10bo
bo5bobo6bobo6bobo6bobo6bobo8bo5bo8bobo6bobo79bobo5bobo7bo2bobobobobo9b
o4bo46bobo24bob10obo$2b2o9b2o7bobobobobobobobo4bobobobobobo6bobo6bobo
6bobo6bobo4bobobobobobobobo4bobo6bobo21bo78bobobobob2o7b8o5b3o6b3o9bo
6bo37b2o12b2o$3bo2bobo5bo2bobo4bo3bobo3bo5b2obo5bob2o4bo2b2o4b2o2bo4bo
2b2o4b2o2bo7bo5bo7bo2b2o4b2o2bo19b3o73bo3bo3bo4b2o5b2o6b2o3bob3o4b3obo
4b6o4b6o34bobo8bobo$28bobo9bobo2bobo2bobo8bo4bo12bo4bo7bobobobobobobob
o7bo4bo24bo82bo14b4o5bo3bo6bo3bo3bo3bo6bo3bo36bo8bo$6bobo8bobo3bobob2o
b2obobo9bobo9bo13bo3bobo8bobo7bo5bo7bobo8bobo20bo82bo14bo2bo24b3o10b3o
36bo8bo$6bo10bo7bobo3bobo8bob2ob2obo26bo8bo5bobobobobobobobo5bo8bo21bo
bo95bo4bo24bobo8bobo7b6o$5b2o9b2o7bo7bo10bo3bo47bo5bo36b2o7b2o91bob2ob
o6b5o2b5o7bo10bo8bo4bo$4b2o10bo7b2o7b2o41bobo6bobo4bobobobobobobobo4bo
bo6bobo15bo2bobobobo2bo89bo6bo9bo2bo11bo10bo8b2o2b2o$24bo9b2o42bo6bo
10bo5bo10bo6bo22bobo97b2o12bo2bo10bo12bo8bo2bo$14bo2bo60b2o4b2o6bobobo
bobobobobo6b2o4b2o16bobobobobobobobo87bo8bo21bobo2bo4bo2bobo4bob2o2b2o
bo$14bo64bo3b2o11bo5bo11bo4bo19bo3bobo3bo120b2o2bo2b2o2bo2b2o3bo3b4o3b
o$13bobobo74bobobobobobobobo36bobo$13bo3bo76bobobobobobo7bo2bo2bo2bo
16bobob2ob2obobo$12bo4b2o75bobobobobobo7bo8bo18bobo3bobo145b2o$18b2o
73b2obobobobob2o9bo2bo21bo7bo$12bo80bobo2bobo2bobo5bobo6bobo16b2o7b2o
144b2o$98bobo10bo3bo2bo3bo16bo9b2o$95bob2ob2obo6b2obo6bob2o$97bo3bo8bo
2bo6bo2bo$113b2o4b2o$114bo4bo3$6bo25bo$3b7o19b7o$bo4bo4bo15bo4bo4bo$bo
9bo15bo9bo$o4bobo4bo13bo4bobo4bo$2bo2b3o2bo17bo2b3o2bo$2bobo3bobo17bob
o3bobo$bo2bo3bo2bo15bo2bo3bo2bo$b2obo3bob2o15b2obo3bob2o$3bo5bo19b3ob
3o$b3o5b3o$2bo7bo19bobobo$b2o7b2o18bo3b2o$2bobo3bobo23bo$4bo3bo$4bo3bo
$6bo$3b3ob3o5$b2o6b2o$o2bo4bo2bo2$4o4b4o4$2b3o2b3o$o10bo$3b2o2b2o!

The 2c/8 can be eaten like so, however only in one parity. Perhaps a bi-parity eater will be desirable:
x = 19, y = 27, rule = B2-ac3i4a/S12
4bo11bo$3bo12bo$2bo$obo5bo6b3o$bo5bo$7bo8bo$8bo7bo14$o3bo12bo$bobo13bo
$2bo$bobo4bo7b3o$o3bo2bo$7bo9bo$8bo8bo!

It also has natural infinite growth. This 5-cell pattern, much like the switch engine, evolves into an unstable puffer engine, breaking down at around 635 gens, and stabilizing completely at 1624, making this the rule's equivalent of the R-pentomino:
x = 4, y = 3, rule = B2-ac3i4a/S12
o2bo$2bo$obo!

You can crash that pattern into debris to produce several puffers, natural ones are shown below:
x = 16, y = 16, rule = B2-ac3i4a/S12
bobobbbooobboooo$
oobbobbbbbooobbo$
bboooooooooobobo$
oooobbbboobboooo$
bbbboooobbbooobb$
oboboooobbobbbbb$
obboobobbboobooo$
oobooooboooboobb$
booobbbboooboooo$
oboobbboobbboobo$
obooooobbbbbbbbo$
oobbobooobobbooo$
ooobbbooooobboob$
bobobbooooobooob$
bobobbboboobboob$
bbboboooboobbbbb!

x = 16, y = 16, rule = B2-ac3i4a/S12
boobbbbbbooooobo$
obooboboobooobob$
booooobbbboobooo$
bbbobbbbbbobooob$
obboooobboobbbbo$
bobooobbobbbobbb$
obbooooobbbobbbo$
oobooobooboooobb$
oobbbooobobooobb$
bbbbbbbboboobbob$
boobooooobbbbbob$
obobobooboobbobb$
obbooobobboobboo$
bbooboobboobbbob$
bobobooobbobbbbb$
oobbbobboooobobb!

x = 16, y = 16, rule = B2-ac3i4a/S12
obbbbbbobbobobbb$
obbbobobbbooboob$
bboboobbobbboooo$
ooobbbbbobbboooo$
ooboboobobbbbobb$
bbobbbooobbbbooo$
bbobobbbobbobooo$
bobobbboobobbobb$
oobbboboooooobbb$
obobbbobooobbbob$
obooboobobbbobbo$
bboooobobobobbbb$
boboboobbobooboo$
oboooobbboboooob$
obobooobboooooob$
boobbbbooobbbooo!

x = 16, y = 32, rule = B2-ac3i4a/S12
bobbobbbbbbboboo$
bbbbbbbbbbbbbbob$
obboboobbobbobbo$
oboobooobooboboo$
ooboooobboobboob$
obobbbooobbobbbb$
bobobbboobooooob$
oobooooboooboooo$
bbobbbbbooobbobo$
oooobboobobbbobb$
bbooobobbboobbbo$
bbbobooobobbobob$
oobboobooboobbbo$
oobobobbobbbbboo$
bbbobooobobboboo$
obboobobbbbobbob$
obboobobbbbobbob$
bbbobooobobboboo$
oobobobbobbbbboo$
oobboobooboobbbo$
bbbobooobobbobob$
bbooobobbboobbbo$
oooobboobobbbobb$
bbobbbbbooobbobo$
oobooooboooboooo$
bobobbboobooooob$
obobbbooobbobbbb$
ooboooobboobboob$
oboobooobooboboo$
obboboobbobbobbo$
bbbbbbbbbbbbbbob$
bobbobbbbbbboboo!

--
There's also a reflection reaction with the 2c/8. Here it is at p38:
x = 10, y = 6, rule = B2-ac3i4a/S12
o8bo$o3bo4bo$3bo$3bo$o3bo4bo$o8bo!

And p54:
x = 12, y = 6, rule = B2-ac3i4a/S12
o10bo$o3bo6bo$3bo$3bo$o3bo6bo$o10bo!

It can be carried on to generate infinite oscillators. The infinite p8+4n works too. (The p134 reflector isomer is the most common naturally)
--
Glider storage oscillator, p20:
x = 24, y = 12, rule = B2-ac3i4a/S12
21bo$21bo2$20b4o$bo$o20bo$o20bo$bo$20b4o2$21bo$21bo!

Pull reaction:
x = 12, y = 4, rule = B2-ac3i4a/S12
bo$o9b2o$o$bo!

14c/40 dirty fuse:
x = 49, y = 49, rule = B2-ac3i4a/S12
b2o$obo$bo4$5b2o7$12bo$12bo6$19b2o7$26bo$26bo6$33b2o7$40bo$40bo6$47b2o
!

--
The second to last c/2 puffer is like Life's slow puffer, it creates debris, then lights a fuse. Here it is stabilized into a wickstretcher, and modified to produce even-spaced dominoes:
x = 36, y = 20, rule = B2-ac3i4a/S12
7b2o18b2o$6bo2bo16bo2bo2$5bob2obo14bob2obo2$4bo6bo12bo6bo$6o4b6o4b6o4b
6o$o3bo6bo3bo4bo3bo6bo3bo$3o10b3o4b3o10b3o$bobo8bobo6bobo8bobo$2bo10bo
8bo10bo$2bo10bo8bo10bo$bo12bo6bo12bo$obo2bo4bo2bobo4bobo2bo4bo2bobo$2o
2bo2b2o2bo2b2o4b2o2bobo2bobo2b2o3$7b2o2$7b2o!

The even-spaced domino puffer can be paired up to bounce a 2c/8 between them, causing slow movement:
x = 16, y = 40, rule = B2-ac3i4a/S12
7b2o$6bo2bo2$5bob2obo2$4bo6bo$6o4b6o$o3bo6bo3bo$3o10b3o$bobo8bobo$2bo
10bo$2bo10bo$bo12bo$obo2bo4bo2bobo$2o2bobo2bobo2b2o5$6bo2bo$7b2o5$2o2b
obo2bobo2b2o$obo2bo4bo2bobo$bo12bo$2bo10bo$2bo10bo$bobo8bobo$3o10b3o$o
3bo6bo3bo$6o4b6o$4bo6bo2$5bob2obo2$6bo2bo$7b2o!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

B2-ac3i4a/S12
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Re: B2-ac3i4a/S12

Postby 83bismuth38 » July 9th, 2017, 5:22 pm

i like the c/14 (:
ANYWAYS! oscillators:
x = 47, y = 31, rule = B2-ac3i4a/S12
4$8b3o11bo$7b2obo11bo16b3o$4bobobobo28bobo$b2obo3bo11b4o14b2obo$4bobob
o29bo2bo$3bo3bo11b5o14bo2bo$3bo15bo3bo15bo$19b2ob2o$20b3o11$21bo$21bo$
20bo$20b4o2$22bo$22bo!
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

also, why does it say 'bo' so much?
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Re: B2-ac3i4a/S12

Postby PHPBB12345 » July 16th, 2017, 9:52 pm

x = 137, y = 9, rule = B2-ac3i4a/S12
3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$3bobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$bobo3bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobo$bo5bobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobo$o2bo3bobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo2bo$bo5bobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobo$bobo3bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobo$3bobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo$3bobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo!
Last edited by PHPBB12345 on July 20th, 2017, 10:47 pm, edited 2 times in total.
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Re: B2-ac3i4a/S12

Postby PHPBB12345 » July 17th, 2017, 10:05 am

drc wrote:Glider storage oscillator, p20:
x = 24, y = 12, rule = B2-ac3i4a/S12
21bo$21bo2$20b4o$bo$o20bo$o20bo$bo$20b4o2$21bo$21bo!

x = 106, y = 772, rule = B2-ac3i4a/S12
103bo$103bo2$102b4o$3bo79bo$2bo79bo20bo$2bo79bo20bo$3bo79bo$102b4o2$
103bo$103bo29$103bo$103bo2$102b4o$2b2o79bo$2bo79bo20bo$2bo79bo20bo$2b
2o79bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$2b2o79bo$bobo78bo20bo
$bobo78bo20bo$2b2o79bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$bobo
79bo$bo2bo77bo20bo$bo2bo77bo20bo$bobo79bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$bob2o78bo$2o2bo77bo20bo$2o2bo77bo20bo$bob2o78bo$102b4o2$
103bo$103bo29$103bo$103bo2$102b4o$bob2o78bo$3bobo76bo20bo$3bobo76bo20b
o$bob2o78bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$3bobo77bo$5bo76b
o20bo$5bo76bo20bo$3bobo77bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$
5bo77bo$5b2o75bo20bo$5b2o75bo20bo$5bo77bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$5bo77bo$4bo77bo20bo$4bo77bo20bo$5bo77bo$102b4o2$103bo$
103bo29$103bo$103bo2$102b4o$4b2o77bo$4bo77bo20bo$4bo77bo20bo$4b2o77bo$
102b4o2$103bo$103bo29$103bo$103bo2$102b4o$4b2o77bo$3bobo76bo20bo$3bobo
76bo20bo$4b2o77bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$3bobo77bo$
3bo2bo75bo20bo$3bo2bo75bo20bo$3bobo77bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$3bob2o76bo$2b2o2bo75bo20bo$2b2o2bo75bo20bo$3bob2o76bo$
102b4o2$103bo$103bo29$103bo$103bo2$102b4o$3bob2o76bo$5bobo74bo20bo$5bo
bo74bo20bo$3bob2o76bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$5bobo
75bo$7bo74bo20bo$7bo74bo20bo$5bobo75bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$7bo75bo$7b2o73bo20bo$7b2o73bo20bo$7bo75bo$102b4o2$103bo$
103bo29$103bo$103bo2$102b4o$7bo75bo$6bo75bo20bo$6bo75bo20bo$7bo75bo$
102b4o2$103bo$103bo29$103bo$103bo2$102b4o$6b2o75bo$6bo75bo20bo$6bo75bo
20bo$6b2o75bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$6b2o75bo$5bobo
74bo20bo$5bobo74bo20bo$6b2o75bo$102b4o2$103bo$103bo29$103bo$103bo2$
102b4o$5bobo75bo$5bo2bo73bo20bo$5bo2bo73bo20bo$5bobo75bo$102b4o2$103bo
$103bo!
Last edited by PHPBB12345 on July 20th, 2017, 10:47 pm, edited 2 times in total.
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Re: B2-ac3i4a/S12

Postby 83bismuth38 » July 17th, 2017, 12:50 pm

PHPBB12345 wrote:
drc wrote:Glider storage oscillator, p20:
x = 24, y = 12, rule = B2-ac3i4a/S12
21bo$21bo2$20b4o$bo$o20bo$o20bo$bo$20b4o2$21bo$21bo!

x = 106, y = 772, rule = B2-ac3i4a/S12
103bo$103bo2$102b4o$3bo79bo$2bo79bo20bo$2bo79bo20bo$3bo79bo$102b4o2$
103bo$103bo29$103bo$103bo2$102b4o$2b2o79bo$2bo79bo20bo$2bo79bo20bo$2b
2o79bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$2b2o79bo$bobo78bo20bo
$bobo78bo20bo$2b2o79bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$bobo
79bo$bo2bo77bo20bo$bo2bo77bo20bo$bobo79bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$bob2o78bo$2o2bo77bo20bo$2o2bo77bo20bo$bob2o78bo$102b4o2$
103bo$103bo29$103bo$103bo2$102b4o$bob2o78bo$3bobo76bo20bo$3bobo76bo20b
o$bob2o78bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$3bobo77bo$5bo76b
o20bo$5bo76bo20bo$3bobo77bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$
5bo77bo$5b2o75bo20bo$5b2o75bo20bo$5bo77bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$5bo77bo$4bo77bo20bo$4bo77bo20bo$5bo77bo$102b4o2$103bo$
103bo29$103bo$103bo2$102b4o$4b2o77bo$4bo77bo20bo$4bo77bo20bo$4b2o77bo$
102b4o2$103bo$103bo29$103bo$103bo2$102b4o$4b2o77bo$3bobo76bo20bo$3bobo
76bo20bo$4b2o77bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$3bobo77bo$
3bo2bo75bo20bo$3bo2bo75bo20bo$3bobo77bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$3bob2o76bo$2b2o2bo75bo20bo$2b2o2bo75bo20bo$3bob2o76bo$
102b4o2$103bo$103bo29$103bo$103bo2$102b4o$3bob2o76bo$5bobo74bo20bo$5bo
bo74bo20bo$3bob2o76bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$5bobo
75bo$7bo74bo20bo$7bo74bo20bo$5bobo75bo$102b4o2$103bo$103bo29$103bo$
103bo2$102b4o$7bo75bo$7b2o73bo20bo$7b2o73bo20bo$7bo75bo$102b4o2$103bo$
103bo29$103bo$103bo2$102b4o$7bo75bo$6bo75bo20bo$6bo75bo20bo$7bo75bo$
102b4o2$103bo$103bo29$103bo$103bo2$102b4o$6b2o75bo$6bo75bo20bo$6bo75bo
20bo$6b2o75bo$102b4o2$103bo$103bo29$103bo$103bo2$102b4o$6b2o75bo$5bobo
74bo20bo$5bobo74bo20bo$6b2o75bo$102b4o2$103bo$103bo29$103bo$103bo2$
102b4o$5bobo75bo$5bo2bo73bo20bo$5bo2bo73bo20bo$5bobo75bo$102b4o2$103bo
$103bo!
4th to last can be made into osc probably.
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

also, why does it say 'bo' so much?
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Re: B2-ac3i4a/S12

Postby toroidalet » July 17th, 2017, 3:51 pm

83bismuth38 wrote:4th to last can be made into osc probably.

No, it can't. The ship enters the same phase as it is at generation 0 at generations 13, 21, 8n+5. 2 of these would rephase the ship by 16n+10, or 2 mod 8. The oscillator's period is 20=4 mod 8, so it's not possible. (note that there's another collision which also reflects the ship and rephases it for a phase change of 5 as well.)
But wait,
There's another 2c/8 reflector, this:
x = 7, y = 6, rule = B2-ac3i4a/S12
6bo$bo4bo$o$o$bo4bo$6bo!

It phase-shifts the ship by 8n+3, so maybe we can(n't) make an oscillator out of it.
The combination of the reflections shift the ship by 2n+1, so it can't be completed.
This is probably the closest you can get using those particular reactions.
x = 46, y = 26, rule = B2-ac3i4a/S12
43bo$43bo2$o41b4o$o10bo25bo$10bo25bo6bo$10bo25bo6bo$o10bo25bo$o41b4o2$
43bo$43bo3$43bo$43bo$39bo$o39bo2b3o$o10bo$10bo25bobobo2bo$10bo25bobobo
2bo$o10bo$o39bo2b3o$39bo$43bo$43bo!

However,
There's this other 8n+3 reaction:
x = 15, y = 12, rule = B2-ac3i4a/S12
12bo$12bo2$11b4o$bo4bo$o4bo6bo$o4bo6bo$bo4bo$11b4o2$12bo$12bo!
"Opposites attract" works great in physics and chemistry, but fails miserably in sociology and psychology.
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Re: B2-ac3i4a/S12

Postby drc » July 19th, 2017, 7:07 am

I've decided to revisit this rule and found a seemingly impressive reaction, but it's utterly useless because the reaction is created in the wrong alignment:
x = 11, y = 26, rule = B2-ac3i4a/S12
10bo$bo8bo$o$o$bo16$10bo$bo8bo$o$o$bo8bo$10bo!

Trying to reflect the moon back results in it just being eaten instead of reflected.

Here's an edgy eater:
x = 13, y = 8, rule = B2-ac3i4a/S12
7bobo$4b2obobo$7bobob2o$9bo$bo$o$o$bo!

An even edgier eater may be lurking in the distance, here's one in the other parity that almost works:
x = 11, y = 8, rule = B2-ac3i4a/S12
6bobobo$3b2obobobo$8bo2$bo$o$o$bo!


See one of the small c/2's sparks in action here:
x = 19, y = 17, rule = B2-ac3i4a/S12
4b2o$3bo2bo2$2bob2obo$2bo4bo$b8o$2o6b2o$3b4o$3bo2bo$2bo4bo$2bob2obo$bo
6bo$4b2o9bobo$o8bo4bo3bo$15bobo2$15bobo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

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Re: B2-ac3i4a/S12

Postby drc » July 19th, 2017, 11:12 pm

Holy crow, there was a p58 gun hiding in D2_+2!:
x = 5, y = 16, rule = B2-ac3i4a/S12
bo$bo2$b2o2$2o$4bo$bobo$bobo$4bo$2o2$b2o2$bo$bo!

And a mere 18 cells, too. I don't know when or if I'll do a full oscillator collection for this rule but this yields a small p58, too.

There's also a technique I discovered while playing around with catalysts that can double the period of a sufficiently sparky oscillator. It gives us the first (non-stripeshuttle) p34, p50, and p104 in this rule, among some possible others:
x = 9, y = 7, rule = B2-ac3i4a/S12
2o2$3o$8bo$o$o5bo$6bo!

x = 45, y = 100, rule = B2-ac3i4a/S12
3obobo14bob2o$2bobobo13bo3bo$3ob3o$2bo3bo13bo3bo8b2o$3o3bo13b2obo$32b
3o2$34bo$34bo2$26bo$20bo5bo$20bo6bo2$20b3o$31bob2o$20b2o8bo3bo2$30bo3b
o$30b2obo11$3obobo23bo$o3bobo23bo$3ob3o25b2o$obo3bo22b3o$3o3bo$29bo$
29bo$28b2o$20b2o2$20b3o2$20bo$20bo5bo$26bo2$34bo$34bo2$32b3o2$33b2o$
25b2o$25bo$25bo2$23b3o$21b2o$24bo$24bo11$ob3obobo32bo$obobobobo29b2obo
$obobob3o$obobo3bo34b2o$ob3o3bo$34bo8bo$34bo8bo2$25b2o6b2o2$25b3o8bob
2o$36bo$25bo$25bo5bo$31bo2$39bo$39bo$28bo$25b2obo8b3o2$30b2o6b2o2$21bo
8bo$21bo8bo2$20b2o2$23bob2o$23bo!

It can certainly be overclocked for infinitely many oscillators of period but that's a less interesting side-note.

I found a 7-cell linear growth predecessor, which is nice:
x = 3, y = 9, rule = B2-ac3i4a/S12
obo2$b2o$o4$bo$bo!

I expect a natural breeder to occur soon.

There's also now c/14 orthogonal infinite growth:
x = 6, y = 26, rule = B2-ac3i4a/S12
5bo$3b2o6$3b2o$5bo4$o$o4$5bo$3b2o6$3b2o$5bo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

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Re: B2-ac3i4a/S12

Postby drc » July 22nd, 2017, 5:17 am

Two p32s interact at two dominoes:
x = 6, y = 30, rule = B2-ac3i4a/S12
2bo$2bo$4b2o$b3o2$bo$bo$2o5$4bo$4bo3$4bo$4bo5$2o$bo$bo2$b3o$4b2o$2bo$
2bo!

I have a strong suspicion that all even periods above a specific limit are possible in the form of glider loops. Here's a p146 based on this concept:
x = 28, y = 6, rule = B2-ac3i4a/S12
o26bo$o4b2o4bo7bo7bo$6bo3bo7b2o$6bo3bo7b2o$o4b2o4bo7bo7bo$o26bo!

Moving the right dominoes to the right two cells adds 16 to the period. Adding more gliders should yield different periods, too. Here's a p162:
x = 30, y = 6, rule = B2-ac3i4a/S12
o28bo$o4b2o4bo7bo9bo$6bo3bo7b2o$6bo3bo7b2o$o4b2o4bo7bo9bo$o28bo!

-
Accidental 3G synth of a moon+c/14:
x = 10, y = 17, rule = B2-ac3i4a/S12
6bo2bo2$6b4o9$bo$o$o$bo$7b2o$6bo2bo!

It should be simple to get a 2G synth of the spark cleanly, though:
x = 6, y = 10, rule = B2-ac3i4a/S12
2bo2bo2$2b4o5$bo$o$bo!

Therefore it would only take a 6G synth to make a MMS breeder:
x = 22, y = 10, rule = B2-ac3i4a/S12
2bo2bo10bo2bo2$2b4o10b4o5$bo18bo$o20bo$bo18bo!

However, there are no clean rakes yet.
-
A surprising sparky 16-cell p126 showed up in a symmetric soup:
x = 15, y = 6, rule = B2-ac3i4a/S12
6bobo$6bobo$2o11b2o$3bo7bo$2bo3bobo3bo$3bo7bo!

I seriously hope a 90-degree reflection and duplication reaction can be found with the sparks this oscillator gives off, so a second gun can be created.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

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