SparkLife (B36i/S234j)

[77topaz]

I decided to name this rule SparkLife because, firstly, it is a close Life variant, with only two additional transitions (B6i and S4j) compared to regular CGoL; and secondly, because those two added transitions allow any pair of length-3 induction coils from CGoL to act as spark coil-like p2 oscillators:

Code: Select all

x = 40, y = 15, rule = B36i/S234j
32bo$bo3bo5bo4bo9bo4bobo$obobobo3bobo2bobo4b2obobo3bo2bob2o$obobobo3bo
bo2bobo3bobobobo4bobobobo$b2ob2o5b2o2b2o4bobob2o6b2obo2bo$22bo14b2o5$
2o3b2o3b2o4b2o$obobobo3bobo2bobo4b2ob2o$2bobo7bo2bo7bobo$obobobo3bobo
2bobo3bobobobo$2o3b2o3b2o4b2o3b2o3b2o!

These p2 rotors can be infinitely extended, similarly to the piston family in CGoL, but with more options/variants:

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x = 38, y = 15, rule = B36i/S234j
2o3b2o5b2o4b2o5b2o5b2o$obobobo5bobo2bobo5bobobobobo$2bobo9bo2bo9bobobo
$obobobo5bobo2bobo5bobobobobo$2o3b2o5b2o4b2o5b2o5b2o6$2o5b2o4b2o6b2o4b
2o7b2o$obobobobo4bobo2bobobo4bobo2bo2bobo$2bob3o8bo2b3o8bo2b4o$obobobo
bo4bobo2bobobo4bobo2bo2bobo$2o5b2o4b2o6b2o4b2o7b2o!

The glider and *WSSes work in SparkLife, as well as several more complicated spaceships from CGoL such as the crab and the Canada goose. Additionally, SparkLife also has a small, natural c/8 diagonal spaceship:

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x = 5, y = 5, rule = B36i/S234j
5o$2o2bo$2bobo$3b2o$3b2o!

Finally, here is a collection of higher-period oscillators that work in SparkLife but not in CGoL (from left to right, top to bottom, periods 3, 4, 7, 10, 11, 12 and 16):

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x = 49, y = 22, rule = B36i/S234j
12b2ob2o$2o2bo8bobo$o2bobo4bo4bo7b2o4b2o6b3o6b3o$b2o2bo4b2o2bo7bobo4bo
bo6b2o6b2o$4bo8bo9bo6bo7b4o2b4o$b3o6b3o9bobo4bobo8b2o2b2o$bo8bo12b2o4b
2o10bo2bo7$bo13bo$obo11bobo25bo$bo2b2o5b2o2bo9b3o13b2o$2b2o9b2o9bo2b2o
12bob2o$5bo5bo11b6o13b2o$2b2o9b2o9bo2b2o9b2o$bo2b2o5b2o2bo9b3o9b2obo$o
bo11bobo22b2o$bo13bo23bo!

[77topaz]

Here's a p288 c/2 puffer with a similar structure to the *WSS-flotilla-based ones in regular CGoL, found by danny on the Discord:

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x = 14, y = 14, rule = B36i/S234j
10b4o$9bo3bo$6bo6bo$6bo2bo2bo$5bobo$6bo2bo2bo$6bo6bo$9bo3bo$10b4o$b5o$
o4bo$5bo$o3bo$2bo!

EDIT: This is the first infinite-growth pattern in this rule, as CGoL's patterns like switch engines and the Gosper glider gun don't work in SparkLife.

[BlinkerSpawn]

Here's a p288 c/2 puffer with a similar structure to the *WSS-flotilla-based ones in regular CGoL, found by danny on the Discord:

Code: Select all

x = 14, y = 14, rule = B36i/S234j
10b4o$9bo3bo$6bo6bo$6bo2bo2bo$5bobo$6bo2bo2bo$6bo6bo$9bo3bo$10b4o$b5o$
o4bo$5bo$o3bo$2bo!

EDIT: This is the first infinite-growth pattern in this rule, as CGoL's patterns like switch engines and the Gosper glider gun don't work in SparkLife.

Here's a second (unless I haven't been paying attention):

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x = 29, y = 28, rule = B36i/S234j
6b2o$3b3ob2o$3b5o$4b3o7bo$12bo3bo$17bo$12bo4bo$7bo5b5o$6b2o$5bo2bo$5bo
6bobo10b4o$3b2o2b2o2bo12bo3bo$2bo4b2o8bo3bo6bo$b3o2bobo2b3o7bo2bo2bo$
2bo4bo3bo3bo4bobo$3b2o7b2o7bo2bo2bo$5bo6bo5bo2bo6bo$5bobo3bo12bo3bo$6b
2o17b4o$7bo8b5o$15bo4bo$20bo$15bo3bo$17bo$b3o$5o$3ob2o$3b2o!

[77topaz]

Here's a second (unless I haven't been paying attention):

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RLE

Nice, it's a p24 rake! And yes, you are correct, it is the second.

[googleplex]

A cleaner puffer:

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x = 14, y = 22, rule = B36i/S234j
10b2o$9b4o$9b2ob2o$11b2o$4b3o$4bob2o$4b3o$11b2o$9b2ob2o$b3o5b4o$5o5b2o
$3ob2o$3b2o$11b2o$9b2ob2o$4b2o3b4o$3b4o3b2o$2b2o3bo$3b4o3b2o$4b2o3b4o$
9b2ob2o$11b2o!

[77topaz]

A cleaner puffer:

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RLE

That's good, though BlinkerSpawn posted an even cleaner one on the Discord:

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x = 35, y = 26, rule = B36i/S234j
11b2o$7b4ob2o$7b6o$8b4o6$4b2o25b4o$4b2o6b2o16bo3bo$11b3o5bobobo3bo6bo$
2o7bo8b2obo5bo2bo2bo$o2b3o7bo4bo2bo4bobo$5bo3bo3bo13bo2bo2bo$2b4o4b3o
11bo2bo6bo$30bo3bo$31b4o$22b5o$21bo4bo$26bo$12b6o3bo3bo$11bo5bo5bo$17b
o$11bo4bo$13b2o!

[BlinkerSpawn]

Another less novel thing:

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x = 48, y = 29, rule = B36i/S234j
14bo$12bo3bo$17bo$12bo4bo$13b5o3$4b3o$3bo3b3o$3b3o4bo$b2o3b4o9bo$bo16b
obo$19b2o$16bo2bo24b4o$8b3o4bo3bo9b3o11bo3bo$16bobo10b3o5bo2bo6bo$o16b
o10bobobo3bo3bo2bo2bo$o10b2o16b3o4bo2bobo$11b2o16b3o4bo3bo2bo2bo$37bo
2bo6bo$43bo3bo$44b4o$14b2o19b5o$34bo4bo$39bo$27b2o5bo3bo$24b3ob2o6bo$
24b5o$25b3o!

[77topaz]

There is now also a non-CGoL p6 oscillator (one shared-with-CGoL p6, unix, had already shown up on Catagolue):

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x = 9, y = 9, rule = B36i/S234j
3o4b2o$3o4b2o$3bobob2o$2b2ob2o2$2b2ob2o$2obobo$2o4b3o$2o4b3o!

[77topaz]

Something new: a p5 oscillator that is also non-CGoL (one shared-with-CGoL p5, octagon 2, had already shown up on Catagolue):

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x = 7, y = 13, rule = B36i/S234j
2o3b2o$obobobo$2b3o$3bo2$2bobo$bo3bo$2bobo2$3bo$2b3o$obobobo$2o3b2o!

[77topaz]

All the ships in Golly's c/3 orthogonal collection that also work in SparkLife:

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x = 89, y = 20, rule = B36i/S234j
8bo$7bobo$7bo37b2o39bo$7bo2bo31bob3o38bobo$9bo31bo3bo38b2o$3bobo2bo31b
2o2b2o40bo$3bo3bo2bo29bo2b3o2bo35b2o$2bo2b3o31b2o3b2obo2b2o32b3o$2b6ob
o30bo2b3o2bob2o$o4bo3bo31b2o2bo3b4o28bo2bo2bo$3o2bo2bo33bo7b2o28bo3bob
o$b3o4bobo31bo2bo3bo29b2o2b2o$3bobo2bobo34bo2bo3bo27bobobo$4bo4bo33b3o
bo32b2o2b2ob2o$3b2o38b3obobo28b2o4bob2o$4bobo41bo29b2obo6bo$5bo77b2o$
77b2obo2b2o$77b2o$79b2o!

All the ships in Golly's c/4 orthogonal collection that also work in SparkLife:

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x = 54, y = 20, rule = B36i/S234j
53bo$15b2obobo24b2obob2obo$13bo4bob2obo19bo4bobo$12bo10bo18bo$11bo4b2o
23bo4b2o$11bob3o25bob3o$9b2o28b2o$9b3o27b3o$8bo2bo26bo2bo$8b4o26b4o$8b
2o28b2o2$2o5bo22b2o5bo$ob3o3bo21bob3o3bo$bob2o3bo22bob2o3bo$bobobo25bo
bobo$5bo29bo$bo2bobo24bo2bobo$2o28b2o$bo29bo!

All the ships in Golly's c/4 diagonal collection (up to and including 64 cells) that also work in SparkLife:

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x = 279, y = 27, rule = B36i/S234j
274b2o$241b2o31bobo$241bobo30bo$141b2o32b2o31b2o31bo35bo$141bobo31bobo
30bobo33bo31bobo$141bo33bo32bo34bobo23b2o5bobo$107b2o35bo33bo32bo24b2o
5bobo23bobo4bo$80b3o24bobo33bobo31bobo30bobo23bobo4bo25bo6bo$80bo26bo
28b2o5bobo31bobo23b2o5bobo23bo6bo28bo3bo$81bo28bo25bobo4bo27b2o4bo25bo
bo4bo28bo3bo22b2o3bo4bo$44b2o37b2o24bobo24bo6bo26bo2bo3bo25bo6bo22b2o
3bo4bo22bobo2bo3bo$44bobo35b2o18b2o5bobo27bo3bo25bo3bo3bo28bo3bo22bobo
2bo3bo23bo4b3o$26bo17bo8b3o19b2o25bobo4bo22b3o3bo4bo25bo7bo2b2o17b3o3b
o4bo22bo4b3o28bo$25b2o20bo3b2ob2o19bobo3bo20bo6bo22bo5bo3bo26bob2o3bo
3bobo16bo5bo3bo26bo31bobo$25bobo19b2obo24bo5bo23bo3bo23bo4b3o31bobo5bo
19bo4b3o27bobo23b2o5bobo$50b3o25bo2bo17b2o3bo4bo2b2o21b2o26b2o37b2o31b
obo23bobo4bo$2o26b2o48b2o2bobo14bobo2bo3bo3bobo21b2o25bobo3b3o31b2o22b
3o5bo25bo6bo$obo25b2o17bo3bobo45bo4b3o5bo24bo25bo3bo4bo31bo22bo7bo28bo
3bo$o45b2obob3o15b3o30bo25b2o36b2o27b2o31bo6bo22b2o3bo4bo$19bo6b2o18bo
3bo18bo9bo21bobo24bobo3b3o29bo28bobo3b3o26b2o3bo22bobo2bo3bo$18b2o5bo
2bo16b2o5bo17bo2b6o22bobo24bo3bo4bo33bobo21bo3bo4bo26bo2bo23bo4b3o$18b
obo3b2obo17bo6bo19bo27bo30b2o39bobo23b2o22b2o37bo$22bo23bo26b2o25b2o
29bo5bo34bo25bo23bobo3b3o29bobo$21bo56b3o19b2o101bobo16bo3bo4bo28bobo$
21bo2bo53bo125bobo18b2o32bo$79bo124bo20bo5bo27b2o$259b2o!

It appears that none of the ships in Golly's 2c/5 orthogonal collection also work in SparkLife.

[77topaz]

The default stabilisation of worker bee does not work in SparkLife, but this one (involving eater 2 variants) does:

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x = 17, y = 22, rule = B36i/S234j
5b2o3b2o$5bo5bo$2b2obo5bob2o$2b2ob2o3b2ob2o2$4ob2o3b2ob4o$o2bob2o3b2ob
o2bo3$7b3o$7b3o$7b3o$7b3o3$o2bob2o3b2obo2bo$4ob2o3b2ob4o2$2b2ob2o3b2ob
2o$2b2obo5bob2o$5bo5bo$5b2o3b2o!

The other p9 oscillators listed for CGoL in the LifeWiki cannot be made to work in SparkLife, making this the first and so far only p9 oscillator in SparkLife.

EDIT: Currently, the smallest period without known oscillators in SparkLife is 11.

[FlameandFury]

Code: Select all

x = 28, y = 29, rule = B3/S23
3$13b2o$13b2o$8bo10bo$7bobo8bobo$6bobo3bo2bo3bobo$5bobo4bo2bo4bobo$6bo
5bo2bo5bo3$7b3o8b3o$3b2o18b2o$3b2o18b2o$7b3o8b3o3$6bo5bo2bo5bo$5bobo4b
o2bo4bobo$6bobo3bo2bo3bobo$7bobo8bobo$8bo10bo$13b2o$13b2o!

Achim's P11 works in SparkLife.

[BlinkerSpawn]

Code: Select all

x = 28, y = 29, rule = B3/S23
3$13b2o$13b2o$8bo10bo$7bobo8bobo$6bobo3bo2bo3bobo$5bobo4bo2bo4bobo$6bo
5bo2bo5bo3$7b3o8b3o$3b2o18b2o$3b2o18b2o$7b3o8b3o3$6bo5bo2bo5bo$5bobo4b
o2bo4bobo$6bobo3bo2bo3bobo$7bobo8bobo$8bo10bo$13b2o$13b2o!

Achim's P11 works in SparkLife.

No it doesn't:

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x = 22, y = 22, rule = B36i/S234j
10b2o$10b2o$5bo10bo$4bobo8bobo$3bobo3bo2bo3bobo$2bobo4bo2bo4bobo$3bo5b
o2bo5bo3$4b3o8b3o$2o18b2o$2o18b2o$4b3o8b3o3$3bo5bo2bo5bo$2bobo4bo2bo4b
obo$3bobo3bo2bo3bobo$4bobo8bobo$5bo10bo$10b2o$10b2o!

[FlameandFury]

[77topaz]

Yeah, none of the p11 oscillator listed on the LifeWiki work in SparkLife. However, as FlameandFury pointed out on the Discord, one of them (38P11.1) becomes p13:

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x = 14, y = 15, rule = B36i/S234j
$3b2ob2o$4bobobo$4bo4bo$b2obo5bo$b2obo6bo$4bobo5bo$4bob2o3b2o$5bo$6b7o
$12bo$8b2o$8b2o!

EDIT: My bad, I overlooked a p11 I had myself posted earlier.

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x = 17, y = 9, rule = B36i/S234j
bo13bo$obo11bobo$bo2b2o5b2o2bo$2b2o9b2o$5bo5bo$2b2o9b2o$bo2b2o5b2o2bo$
obo11bobo$bo13bo!

[FlameandFury]

New P5

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x = 23, y = 21, rule = B36iS234j
2$5b2o10b2o$6bo2bob2obo2bo$3bo5b6o5bo$3b2o3bo6bo3b2o$8b2o4b2o$6b2o8b2o
$4b2obo8bob2o$5bo12bo$4b2o12b2o$4b2o12b2o$5bo12bo$4b2obo8bob2o$6b2o8b
2o$8b2o4b2o$3b2o3bo6bo3b2o$3bo5b6o5bo$6bo2bob2obo2bo$5b2o10b2o!

[77topaz]

New P5

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x = 23, y = 21, rule = B36iS234j
2$5b2o10b2o$6bo2bob2obo2bo$3bo5b6o5bo$3b2o3bo6bo3b2o$8b2o4b2o$6b2o8b2o
$4b2obo8bob2o$5bo12bo$4b2o12b2o$4b2o12b2o$5bo12bo$4b2obo8bob2o$6b2o8b
2o$8b2o4b2o$3b2o3bo6bo3b2o$3bo5b6o5bo$6bo2bob2obo2bo$5b2o10b2o!

Nice! There's also a similar beacon-eating/hassling reaction at p4:

Code: Select all

x = 7, y = 7, rule = B36i/S234j
2b2ob2o$3bobo$o4bo$2o2bo$3bo$3o$o!

[77topaz]

A new oscillator period emerged from D8_4: here's a p14 oscillator!

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x = 12, y = 12, rule = B36i/S234j
8b2o$8b2o$10bo$11bo$11bo$6b2o$5bobo$5b2o$2o$2o$2bo$3b2o!

It can be monomerised using the usual eater 2 variant:

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x = 11, y = 12, rule = B36i/S234j
7b2o$7b2o$9bo$10bo$10bo$o2bob2o$4ob2o2$2b2ob2o$2b2obo$5bo$5b2o!

Also, a new p6 from D4_+1:

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x = 11, y = 10, rule = B36i/S234j
b2o5b2o$bobo3bobo$2bobobobo$4bobo2$4b3o$2bobobobo$bobo3bobo$obo5bobo$bo7bo!

And a p32 from D4_+1 (not an entirely new period, as gourmet works in SparkLife, but the first non-CGoL oscillator of this period):

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x = 15, y = 5, rule = B36i/S234j
3o9b3o$2ob2o5b2ob2o$2ob2o5b2ob2o$bo11bo$2b2o7b2o!

EDIT: A new p7 from D8_4:

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x = 16, y = 16, rule = B36i/S234j
b5o4b5o$ob2ob2o2b2ob2obo$2obo2bo2bo2bob2o$3ob2o4b2ob3o$o2bo8bo2bo$2obo8bob2o$
b2o10b2o3$b2o10b2o$2obo8bob2o$o2bo8bo2bo$3ob2o4b2ob3o$2obo2bo2bo2bob2o$ob2ob
2o2b2ob2obo$b5o4b5o!

[77topaz]

A p56 oscillator in an infinite agar:

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x = 20, y = 20, rule = B36i/S234j:T20,20
3$3b3o7b3o$3bobo7bobo$3bobo7bobo8$3b3o7b3o$3bobo7bobo$3bobo7bobo!

Can a finite stabilisation of it exist?

EDIT: Also, here's are two new non-CGoL p4s from D8_4:

Code: Select all

x = 18, y = 18, rule = B36i/S234j
6b2o2b2o$5bobo2bobo$5bobo2bobo$3b4o4b4o$3b2o8b2o$b3o10b3o$o2bo10bo2bo$3o12b3o
3$3o12b3o$o2bo10bo2bo$b3o10b3o$3b2o8b2o$3b4o4b4o$5bobo2bobo$5bobo2bobo$6b2o2b
2o!

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x = 24, y = 24, rule = B36i/S234j
3bo16bo$2bobo14bobo$bo2bo14bo2bo$o3b3o10b3o3bo$b3obobo8bobob3o$3b2o2bo8bo2b2o
$3bo3b3o4b3o3bo$4b3obobo2bobob3o$6b2o2bo2bo2b2o$6bo3bo2bo3bo$7b3o4b3o3$7b3o4b
3o$6bo3bo2bo3bo$6b2o2bo2bo2b2o$4b3obobo2bobob3o$3bo3b3o4b3o3bo$3b2o2bo8bo2b2o
$b3obobo8bobob3o$o3b3o10b3o3bo$bo2bo14bo2bo$2bobo14bobo$3bo16bo!

[AbhpzTa]

p28:

Code: Select all

x = 18, y = 18, rule = B36i/S234j
10b2o$10b2o5$2o$2o2$8b3o$5b2o3bo5b2o$5bo4bo5b2o$9bo$6b3o3$6b2o$6b2o!

[Gamedziner]

p28:

Code: Select all

x = 18, y = 18, rule = B36i/S234j
10b2o$10b2o5$2o$2o2$8b3o$5b2o3bo5b2o$5bo4bo5b2o$9bo$6b3o3$6b2o$6b2o!

Nice! This also happens to work in B3/S234j, which is only one transition away from Life!

[77topaz]

p28:

Code: Select all

RLE

Nice! This also happens to work in B3/S234j, which is only one transition away from Life!

Indeed. That is also true for some other SparkLife patterns, like the c/8 diagonal spaceship:

Code: Select all

x = 5, y = 5, rule = B3/S234j
5o$2o2bo$2bobo$3b2o$3b2o!

[77topaz]

A new, non-CGoL p4 oscillator:

Code: Select all

x = 9, y = 5, rule = B36i/S234j
3o2bo$b2o2b2o$bo5bo$2b2o2b2o$3bo2b3o!

[AforAmpere]

Small C/5, with potentially useful sparks:

Code: Select all

x = 15, y = 26, rule = B36i/S234j
4bo5bo$4b2o3b2o$6bobo$6bobo$2b3obobob3o$b2o3bobo3b2o$b2o9b2o2$4b3ob3o$
5b2ob2o2$7bo$6b3o$5bobobo$4b2o3b2o$4bo5bo$3bo2bobo2bo$3bo2bobo2bo$2bo
9bo$5bo3bo$2b4o3b4o$ob2obo3bob2obo$5bo3bo$o13bo$bo2bo5bo2bo$3bo7bo!

Not so small 2c/5:

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x = 19, y = 63, rule = B36i/S234j
9bo$7b5o$6b2o3b2o2$4b5ob5o$3bo11bo$2b2obo7bob2o$bo15bo$b3o2bo5bo2b3o$
4bo2b2ob2o2bo$4bob2obob2obo$4bo9bo$3b2o2bo3bo2b2o$4b3o5b3o2$7b2ob2o$6b
o5bo$5b3o3b3o$4b2o7b2o$6b7o$5bo3bo3bo$6b2o3b2o$2b4o2bobo2b4o$8bobo$2b
2o4b3o4b2o$7bo3bo$4bo2bo3bo2bo$6bo5bo$2b2ob2o5b2ob2o$6b2obob2o$5b2obob
ob2o$5b2obobob2o$6bo5bo$7b5o2$7bo3bo$7bo3bo$7bo3bo2$7bobobo$7b5o$7bobo
bo$9bo$8bobo$6b2o3b2o$6b3ob3o$8bobo$7b2ob2o$8bobo$6b2o3b2o$4b2o7b2o$4b
o9bo$4b3o5b3o$6b2o3b2o$6b2o3b2o2$5b3o3b3o$4b2ob2ob2ob2o$3bo4bobo4bo$3b
4obobob4o$7bo3bo$2bobobo5bobobo$3bo11bo!

Miniscule C/6:

Code: Select all

x = 14, y = 9, rule = B36i/S234j
2bo8bo$2bo8bo$2b3o4b3o$4b2o2b2o$bo2bo4bo2bo$obo8bobo$obob2o2b2obobo$b
4o4b4o$2b2o6b2o!

[77topaz]

Small C/5, with potentially useful sparks:

Code: Select all

RLE

Not so small 2c/5:

Code: Select all

RLE

Miniscule C/6:

Code: Select all

RLE

Great work! We now have ships for c/2 (2c/4 and some higher periods) orthogonal, c/3 orthogonal, c/4 orthogonal, c/5 orthogonal, 2c/5 orthogonal, c/6 orthogonal, c/4 diagonal and c/8 diagonal