B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78

[dani]

(Sorry if this post is shorter than the others I usually write, I'm experimenting. Plus there was so many things about this rule that it was too much to include.)

B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78 is a very interesting self-inverse rule that shows very erratic growth at some points, as well as being barely apgsearchable. To start, there is this extensible greyship that travels at c/2, and is period 4:

Code: Select all

x = 40, y = 25, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
15bob5o2$13b12o2$9bob17o2$7b24o2$3bob29o2$b36obo$37bobo$39o2$2bob32o2$
6b27o2$8bob20o2$12b15o2$14bob8o2$18b3o!

It's based off this spacefiller:

Code: Select all

x = 6, y = 3, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
b4o$ob2obo$bo2bo!

Here are two other, rarer spacefillers:

Code: Select all

x = 24, y = 23, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
11b2o2$9b6o2$7b10o2$5b14o2$2b20o2$b22o2$b22o$o22bo$2b20o2$4b16o2$7b10o
2$9b6o2$11b2o!

Code: Select all

x = 6, y = 6, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
6o$6o$6o$6o$6o$6o!

The basic spacefiller can be paired up to produce very chaotic patterns, here is one:

Code: Select all

x = 12, y = 14, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
3b4o$2bob2obo$3bo2bo5$5b2o2$2b8o$2o8b2o$12o$2o8b2o$4b4o!

The 2c/4 ships are so sparky they can flyby convert blocks into the basic c/2 ship:

Code: Select all

x = 17, y = 8, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
11b2o2b2o$11b2o2b2o4$5o$3bobo$3obo!

Here are all (natural!) known ships at speeds c/2 and c/3 orthogonal, as well as 2c/6, c/7, and c/13 diagonal:

Code: Select all

x = 57, y = 18, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
9bo14bo10bo16bo$7bobo12bobo8bobo14b3o$7bobobo10bobobo8bobo14bo$7bobobo
10bobobo4bo3bobo$9bobobo7b2obobo8bobo$3b3o3bobobo4b7obo3b6obo$8b2obobo
8bobobo9b2o$b9obobo3b7ob2o5b6o12b5o$8bo2bo12b2o27bobo$10obo7b6o25b3obo
2$2b6o2$4b2o$52b4o$50b5obo$50b5obo$52b4o!

Also this megalith of a 288c/576:

Code: Select all

x = 122, y = 96, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
90b3o2$86bob8o2$84b15o2$80bob20o2$78b27o2$74bob32o2$73bob36o2$77b37obo
$114bobo$79bob35o2$83b30o$68b8o$85bob23o$66b16o$89b18o$64b20obo$91bob
11o$62b26o$95b6o$60b30o$97bo$58b37o2$30bobobobobobobobobobobobobob44o
2$28b75o2$26b80o2$24b85o2$22b90o2$20b95o2$18b100o2$16b105o$119bobo$14b
105obo2$12b104o2$10b103o2$8b102o2$6b101o2$4b100o2$2b99o2$98o2$95o2$2b
90o2$4bob83o2$8b78o2$10bob71o2$14b66o2$16bob59o2$20b54o2$22bob47o2$26b
42o2$28bob35o2$32b30o2$34bob23o2$38b18o2$40bob11o2$44b6o2$46bo!

Other speeds are theorized.

-

Linear growth is common in the form of puffers and wickstrechers. Here is a p80 duoplet puffer:

Code: Select all

x = 62, y = 54, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
19b3o2$15bob8o2$13b15o2$9bob20o2$7b27o2$3bob32o2$b39o2$obobob37o2$8b
38o2$10b39o2$12b40o2$14b41o2$16bob40o2$20b41o$59bobo$22b37obo2$24b32o
2$26b27o2$28b22o2$30b14obo$47bob2o$32bob9o$42bo2b9o$36b5o$41bob14o2$
39b21o$60b2o$38b24o$60b2o$40b18o2$42bob11o2$46b6o2$48bo!

A c/3 diagonal wickstrecher:

Code: Select all

x = 11, y = 9, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
5b2o$8bo$3b5obo$7b2o$b4o3bobo$8bobo$4o2bobo$6bobo$b2o3bo!

and a c/9 otrhogonal wickstrecher:

Code: Select all

x = 8, y = 4, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
2obo$bobo2b2o$bobo2b2o$2obo!

And an unnatural c/3 wickstrecher:

Code: Select all

x = 5, y = 10, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
o2bo$ob2o$o2bo$obo$obobo$obobo$obo$o2bo$ob2o$o2bo!

And this...thing:

Code: Select all

x = 9, y = 4, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
b2ob4o$2b2o2bobo$ob4obo$2bo!

No guns yet, although this reaction is quite promising if it is reignitable:

Code: Select all

x = 13, y = 27, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
3bo2bo2bo$b2ob2ob2ob2o$b11o$ob9obo$b11o$b11o$ob10o$b11o$ob10o$b11o$ob
10o$b11o$b11o$ob10o$b11o$b11o$ob10o$b11o$ob10o$b11o$ob10o$b11o$b11o$ob
9obo$b11o$b2ob2ob2ob2o$3bo2bo2bo!

[KittyTac]

I think I found that the greyship is extensible.

[dani]

I think I found that the greyship is extensible.

No you did not. I had done manual testing as well as apgsearch before I even posted about it on the forums, and found the wickstrecher as well as its spaceships.

-

This is weird but probably quadratic:

Code: Select all

x = 8, y = 13, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
3bo$3b2o$2b4o$3b2o$bob2obo$bo4bo$3b2o$b2o2b2o$2bo2bo2$obo2bobo$obo2bob
o$bo4bo!

c/3 quadratic growth:

Code: Select all

x = 12, y = 18, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
12o$bo8bo$b10o2$3b6o$4bo2bo$4b4o$3bob2obo$4b4o$4b4o$4b4o$3bob2obo$5b2o
$5b2o$4bo2bo$4b4o$5b2o$4b4o!

EDIT: 929c/1858 (c/2) spaceship:

Code: Select all

x = 45, y = 33, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
23b3o2$19bob8o2$17b15o2$13bob20o$42b2o$11b15obo2b8obo4bo$34bo4b2ob2o$
7bob17obobo4b3obo$28b2o4b3obo$2b3o2b19o8bo4b2ob2o$ob4o17bo6b8obo4bo$ob
ob16o2bob2o2bo13b2o$obob2o13b6o2b8o$obobob13o7bo$obob2o13b6o2b8o$obob
16o2bob2o2bo13b2o$ob4o17bo6b8obo4bo$2b3o2b19o8bo4b2ob2o$28b2o4b3obo$7b
ob17obobo4b3obo$34bo4b2ob2o$11b15obo2b8obo4bo$42b2o$13bob20o2$17b15o2$
19bob8o2$23b3o!

EDIT: Probably variable period p36 oscillator:

Code: Select all

x = 42, y = 66, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
21bobobo$21bobobo$19bobobobobo$19bobobobobo$17bobobobobobobo$17bobobob
obobobo$15bobobobobobobobobo$15bobobobobobobobobo$13bobobobobobobobobo
bobo$13bobobobobobobobobobobo$11bobobobobobobobobobobobobo$11bobobobob
obobobobobobobobo$2b4o3bobobobobobobobobobobobobobobo$9bobobobobobobob
obobobobobobobo$2b4obobobobobobobobobobobobobobobobobo$7bobobobobobobo
bobobobobobobobobobo$5bobobobobobobobobobobobobobobobobobobo$5bobobobo
bobobobobobobobobobobobobobobo$7bobobobobobobobobobobobobobobobobo$2b
4obobobobobobobobobobobobobobobobobo$9bobobobobobobobobobobobobobobo$
2b4o3bobobobobobobobobobobobobobobo$11bobobobobobobobobobobobobo$11bob
obobobobobobobobobobobo$13bobobobobobobobobobobo$13bobobobobobobobobob
obo$15bobobobobobobobobo$15bobobobobobobobobo$17bobobobobobobo$17bobob
obobobobo$19bobobobobo$17bobobobobobo$16bobo2bobobo$16bobobo2bobo$14bo
bobobobobo$14bobobobobo$12bobobobobobobo$12bobobobobobobo$10bobobobobo
bobobobo$10bobobobobobobobobo$8bobobobobobobobobobobo$8bobobobobobobob
obobobo$6bobobobobobobobobobobobobo$6bobobobobobobobobobobobobo$4bobob
obobobobobobobobobobobobo3b4o$4bobobobobobobobobobobobobobobo$2bobobob
obobobobobobobobobobobobobob4o$2bobobobobobobobobobobobobobobobobo$obo
bobobobobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobo
bo$2bobobobobobobobobobobobobobobobobo$2bobobobobobobobobobobobobobobo
bobob4o$4bobobobobobobobobobobobobobobo$4bobobobobobobobobobobobobobob
o3b4o$6bobobobobobobobobobobobobo$6bobobobobobobobobobobobobo$8bobobob
obobobobobobobo$8bobobobobobobobobobobo$10bobobobobobobobobo$10bobobob
obobobobobo$12bobobobobobobo$12bobobobobobobo$14bobobobobo$14bobobobob
o$16bobobo$16bobobo!

It features a very strong extensible p2 catalyst:

Code: Select all

x = 41, y = 41, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
20bo$20bo$19b3o5$20bo$18bobobo$18bobobo$16bobobobobo$16bobobobobo$14bo
bobobobobobo$14bobobobobobobo$12bobobobobobobobobo$12bobobobobobobobob
o$10bobobobobobobobobobobo$10bobobobobobobobobobobo$b2o5bobobobobobobo
bobobobobobo5b2o$8bobobobobobobobobobobobobo$4o2bobobobobobobobobobobo
bobobobo2b4o$6bobobobobobobobobobobobobobobo$b2obobobobobobobobobobobo
bobobobobobob2o$4bobobobobobobobobobobobobobobobobo$4bobobobobobobobob
obobobobobobobobo$b2obobobobobobobobobobobobobobobobobob2o$6bobobobobo
bobobobobobobobobobo$4o2bobobobobobobobobobobobobobobo2b4o$8bobobobobo
bobobobobobobobo$b2o5bobobobobobobobobobobobobo5b2o$10bobobobobobobobo
bobobo$10bobobobobobobobobobobo$12bobobobobobobobobo$12bobobobobobobob
obo$14bobobobobobobo$14bobobobobobobo$16bobobobobo$16bobobobobo$18bobo
bo$18bobobo$20bo!

Maybe gunnable?

[dani]

This rule might be (even-)omniperiodic, here is a p58 oscillator that can be extended to result in pseudorandom periods:

Code: Select all

x = 72, y = 72, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
34b4o2$32b8o2$30b12o2$28b16o2$26b20o2$24b24o2$22b28o2$20b32o2$16bo2b
34o2bo$17bo36bo$20b32o$16bo38bo$14bobobo2b30o2bobobo$14bobobob2o28b2ob
obobo$12bobobobobo3b24o3bobobobobo$12bobobobobo30bobobobobo$10bobobobo
bobobob24obobobobobobobo$10bobobobobobobob2o20b2obobobobobobobo$8bobob
obobobobobobo2b18o2bobobobobobobobobo$8bobobobobobobobobobo18bobobobob
obobobobobo$6bobobobobobobobobobobo2b14o2bobobobobobobobobobobo$6bobob
obobobobobobobobob3o10b3obobobobobobobobobobobo$4bobobobobobobobobobob
obob16obobobobobobobobobobobobo$4bobobobobobobobobobobobobob2o8b2obobo
bobobobobobobobobobobo$2bobobobobobobobobobobobobobobo3b4o3bobobobobob
obobobobobobobobobo$2bobobobobobobobobobobobobobobo3bo2bo3bobobobobobo
bobobobobobobobobo$obobobobobobobobobobobobobobobob8obobobobobobobobob
obobobobobobobo$obobobobobobobobobobobobobobobobob4obobobobobobobobobo
bobobobobobobobo$obobobobobobobobobobobobobobobobob4obobobobobobobobob
obobobobobobobobo$obobobobobobobobobobobobobobobob8obobobobobobobobobo
bobobobobobobo$2bobobobobobobobobobobobobobobo3bo2bo3bobobobobobobobob
obobobobobobo$2bobobobobobobobobobobobobobobo3b4o3bobobobobobobobobobo
bobobobobo$4bobobobobobobobobobobobobob2o8b2obobobobobobobobobobobobob
o$4bobobobobobobobobobobobob16obobobobobobobobobobobobo$6bobobobobobob
obobobobob3o10b3obobobobobobobobobobobo$6bobobobobobobobobobobo2b14o2b
obobobobobobobobobobo$8bobobobobobobobobobo18bobobobobobobobobobo$8bob
obobobobobobobo2b18o2bobobobobobobobobo$10bobobobobobobob2o20b2obobobo
bobobobo$10bobobobobobobob24obobobobobobobo$12bobobobobo30bobobobobo$
12bobobobobo3b24o3bobobobobo$14bobobob2o28b2obobobo$14bobobo2b30o2bobo
bo$16bo38bo$20b32o$17bo36bo$16bo2b34o2bo2$20b32o2$22b28o2$24b24o2$26b
20o2$28b16o2$30b12o2$32b8o2$34b4o!

I don't really know how it works.

[dani]

Here's a 1692c/3384 spaceship. Again it's c/2:

Code: Select all

x = 869, y = 722, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
11b2o843b2o2$9b6o839b6o2$7b10o835b10o2$5b14o831b14o2$3b18o827b18o2$2b
21o823b21o2$2b23o819b23o2$2b25o815b25o2$2b27o811b27o2$2b29o807b29o2$2b
31o803b31o2$2b33o799b33o2$2b35o795b35o2$2b37o791b37o2$2b39o787b39o2$b
42o783b42o2$b44o779b44o2$b46o775b46o2$b48o771b48o2$b50o767b50o2$b52o
763b52o2$b54o759b54o2$b56o755b56o2$b58o751b58o2$b60o747b60o2$b62o743b
62o2$b64o739b64o2$b66o735b66o2$b68o731b68o2$b70o727b70o2$b72o723b72o2$
b74o719b74o2$b76o715b76o2$79o711b79o2$81o707b81o2$83o703b83o2$85o699b
85o2$87o695b87o2$89o691b89o2$91o687b91o2$b92o683b92o2$2b93o679b93o2$3b
94o675b94o2$4b95o671b95o2$5b96o667b96o2$7b96o663b96o2$8b97o659b97o2$8b
99o655b99o2$7bob100o651b100obo2$7bob102o647b102obo$7bo853bo$7bob104o
643b104obo$7bob2o847b2obo$7bobo3b102o639b102o3bobo$9bo849bo$9bobo2b
103o635b103o2bobo$9bobob3o837b3obobo$11bobob104o631b104obobo$11bobo
841bobo$11bobobob104o627b104obobobo$13bobob2o831b2obobo$13bobobo2b103o
623b103o2bobobo$13bobobo833bobobo$15bobob2ob103o619b103ob2obobo$15bobo
bobo825bobobobo$15bobobo3b104o615b104o3bobobo$17bobobobo821bobobobo$
17bobob108o611b108obobo$17bobobob2o819b2obobobo$19bobob108o607b108obob
o$19bobobo821bobobo$19bobob2ob107o603b107ob2obobo$21bobo821bobo$21bobo
bob108o599b108obobobo$21bobobobo813bobobobo$23bobob110o595b110obobo$
23bobobo813bobobo$23bobob112o591b112obobo$25bobobo809bobobo$25bobob
112o587b112obobo$25bobobo809bobobo$27bobob112o583b112obobo$27bobo809bo
bo$27bobobob112o579b112obobobo$29bobo805bobo$29bobob114o575b114obobo$
29bobo805bobo$31bob116o571b116obo$31bob2o799b2obo$31bobo3b114o567b114o
3bobo$33bo801bo$33bobo2b115o563b115o2bobo$33bobob3o789b3obobo$35bobob
116o559b116obobo$35bobo793bobo$35bobobob116o555b116obobobo$37bobob2o
783b2obobo$37bobobo2b115o551b115o2bobobo$37bobobo785bobobo$39bobob2ob
115o547b115ob2obobo$39bobobobo777bobobobo$39bobobo3b116o543b116o3bobob
o$41bobobobo773bobobobo$41bobob120o539b120obobo$41bobobob2o771b2obobob
o$43bobob120o535b120obobo$43bobobo773bobobo$43bobob2ob119o531b119ob2ob
obo$45bobo773bobo$45bobobob120o527b120obobobo$45bobobobo765bobobobo$
47bobob122o523b122obobo$47bobobo765bobobo$47bobob124o519b124obobo$49bo
bobo761bobobo$49bobob124o515b124obobo$49bobobo761bobobo$51bobob124o
511b124obobo$51bobo761bobo$51bobobob124o507b124obobobo$53bobo757bobo$
53bobob126o503b126obobo$53bobo757bobo$55bob128o499b128obo$55bob2o751b
2obo$55bobo3b126o495b126o3bobo$57bo753bo$57bobo2b127o491b127o2bobo$57b
obob3o741b3obobo$59bobob128o487b128obobo$59bobo745bobo$59bobobob128o
483b128obobobo$61bobob2o735b2obobo$61bobobo2b127o479b127o2bobobo$61bob
obo737bobobo$63bobob2ob127o475b127ob2obobo$63bobobobo729bobobobo$63bob
obo3b128o471b128o3bobobo$65bobobobo725bobobobo$65bobob132o467b132obobo
$65bobobob2o723b2obobobo$67bobob132o463b132obobo$67bobobo725bobobo$67b
obob2ob131o459b131ob2obobo$69bobo725bobo$69bobobob132o455b132obobobo$
69bobobobo717bobobobo$71bobob134o451b134obobo$71bobobo136bo443bo136bob
obo$71bobob135o4bo439bo4b135obobo$73bobobo134bobo439bobo134bobobo$73bo
bob139obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobob139obobo$73bobobo713bobobo$75bobob711obobo$75b
obo713bobo$75bobobob707obobobo$77bobo709bobo$77bobob707obobo$77bobo
709bobo$79bob707obo$79bob2o703b2obo$79bobo3b699o3bobo$81bo705bo$81bobo
2b697o2bobo$81bobob3o693b3obobo$83bobob695obobo$83bobo697bobo$83bobobo
b691obobobo$85bobob2o687b2obobo$85bobobo2b685o2bobobo$85bobobo689bobob
o$87bobob2ob681ob2obobo$87bobobobo681bobobobo$87bobobo3b679o3bobobo$
89bobobobo677bobobobo$89bobob683obobo$89bobobob2o675b2obobobo$91bobob
679obobo$91bobobo677bobobo$91bobob2ob673ob2obobo$93bobo677bobo$93bobob
ob671obobobo$93bobobobo669bobobobo$95bobob671obobo$95bobobo669bobobo$
95bobob671obobo$97bobobo665bobobo$97bobob667obobo$97bobobo665bobobo$
99bobob663obobo$99bobo665bobo$99bobobob659obobobo$101bobo661bobo$101bo
bob659obobo$101bobo661bobo$103bob659obo$103bob2o655b2obo$103bobo3b651o
3bobo$105bo657bo$105bobo2b649o2bobo$105bobob3o645b3obobo$107bobob647ob
obo$107bobo649bobo$107bobobob643obobobo$109bobob2o639b2obobo$109bobobo
2b637o2bobobo$109bobobo641bobobo$111bobob2ob633ob2obobo$111bobobobo
633bobobobo$111bobobo3b631o3bobobo$113bobobobo629bobobobo$113bobob635o
bobo$113bobobob2o627b2obobobo$115bobob631obobo$115bobobo629bobobo$115b
obob2ob625ob2obobo$117bobo629bobo$117bobobob623obobobo$117bobobobo621b
obobobo$119bobob623obobo$119bobobo621bobobo$119bobob623obobo$121bobobo
617bobobo$121bobob619obobo$121bobobo617bobobo$123bobob615obobo$123bobo
617bobo$123bobobob611obobobo$125bobo613bobo$125bobob611obobo$125bobo
613bobo$127bob611obo$127bob2o607b2obo$127bobo3b603o3bobo$129bo609bo$
129bobo2b601o2bobo$129bobob3o597b3obobo$131bobob599obobo$131bobo601bob
o$131bobobob595obobobo$133bobob2o591b2obobo$133bobobo2b589o2bobobo$
133bobobo593bobobo$135bobob2ob585ob2obobo$135bobobobo585bobobobo$135bo
bobo3b583o3bobobo$137bobobobo581bobobobo$137bobob587obobo$137bobobob2o
579b2obobobo$139bobob583obobo$139bobobo581bobobo$139bobob2ob577ob2obob
o$141bobo581bobo$141bobobob575obobobo$141bobobobo573bobobobo$143bobob
575obobo$143bobobo573bobobo$143bobob575obobo$145bobobo569bobobo$145bob
ob571obobo$145bobobo569bobobo$147bobob567obobo$147bobo569bobo$147bobob
ob563obobobo$149bobo565bobo$149bobob563obobo$149bobo565bobo$151bob563o
bo$151bob2o559b2obo$151bobo3b555o3bobo$153bo561bo$153bobo2b553o2bobo$
153bobob3o549b3obobo$155bobob551obobo$155bobo553bobo$155bobobob547obob
obo$157bobob2o543b2obobo$157bobobo2b541o2bobobo$157bobobo545bobobo$
159bobob2ob537ob2obobo$159bobobobo537bobobobo$159bobobo3b535o3bobobo$
161bobobobo533bobobobo$161bobob539obobo$161bobobob2o531b2obobobo$163bo
bob535obobo$163bobobo533bobobo$163bobob2ob529ob2obobo$165bobo533bobo$
165bobobob527obobobo$165bobobobo525bobobobo$167bobob527obobo$167bobobo
525bobobo$167bobob527obobo$169bobobo521bobobo$169bobob523obobo$169bobo
bo521bobobo$171bobob519obobo$171bobo521bobo$171bobobob515obobobo$173bo
bo517bobo$173bobob515obobo$173bobo517bobo$175bob515obo$175bob2o511b2ob
o$175bobo3b507o3bobo$177bo513bo$177bobo2b505o2bobo$177bobob3o501b3obob
o$179bobob503obobo$179bobo505bobo$179bobobob499obobobo$181bobob2o495b
2obobo$181bobobo2b493o2bobobo$181bobobo497bobobo$183bobob2ob489ob2obob
o$183bobobobo489bobobobo$183bobobo3b487o3bobobo$185bobobobo485bobobobo
$185bobob491obobo$185bobobob2o483b2obobobo$187bobob487obobo$187bobobo
485bobobo$187bobob2ob481ob2obobo$189bobo485bobo$189bobobob479obobobo$
189bobobobo477bobobobo$191bobob479obobo$191bobobo477bobobo$191bobob
479obobo$193bobobo473bobobo$193bobob475obobo$193bobobo473bobobo$195bob
ob471obobo$195bobo473bobo$195bobobob467obobobo$197bobo469bobo$197bobob
467obobo$197bobo469bobo$199bob467obo$199bob2o463b2obo$199bobo3b459o3bo
bo$201bo465bo$201bobo2b457o2bobo$201bobob3o453b3obobo$203bobob455obobo
$203bobo457bobo$203bobobob451obobobo$205bobob2o447b2obobo$205bobobo2b
445o2bobobo$205bobobo449bobobo$207bobob2ob441ob2obobo$207bobobobo441bo
bobobo$207bobobo3b439o3bobobo$209bobobobo437bobobobo$209bobob443obobo$
209bobobob2o435b2obobobo$211bobob439obobo$211bobobo437bobobo$211bobob
2ob433ob2obobo$213bobo437bobo$213bobobob431obobobo$213bobobobo429bobob
obo$215bobob431obobo$215bobobo429bobobo$215bobob431obobo$217bobobo425b
obobo$217bobob427obobo$217bobobo425bobobo$219bobob423obobo$219bobo425b
obo$219bobobob419obobobo$221bobo421bobo$221bobob419obobo$221bobo421bob
o$223bob419obo$223bob2o415b2obo$223bobo3b411o3bobo$225bo417bo$225bobo
2b409o2bobo$225bobob3o405b3obobo$227bobob407obobo$227bobo409bobo$227bo
bobob403obobobo$229bobob2o399b2obobo$229bobobo2b397o2bobobo$229bobobo
401bobobo$231bobob2ob393ob2obobo$231bobobobo393bobobobo$231bobobo3b
391o3bobobo$233bobobobo389bobobobo$233bobob395obobo$233bobobob2o387b2o
bobobo$235bobob391obobo$235bobobo389bobobo$235bobob2ob385ob2obobo$237b
obo389bobo$237bobobob383obobobo$237bobobobo381bobobobo$239bobob383obob
o$239bobobo381bobobo$239bobob383obobo$241bobobo377bobobo$241bobob379ob
obo$241bobobo377bobobo$243bobob375obobo$243bobo377bobo$243bobobob371ob
obobo$245bobo373bobo$245bobob371obobo$245bobo373bobo$247bob371obo$247b
ob2o367b2obo$247bobo3b363o3bobo$249bo369bo$249bobo2b361o2bobo$249bobob
3o357b3obobo$251bobob359obobo$251bobo361bobo$251bobobob355obobobo$253b
obob2o351b2obobo$253bobobo2b349o2bobobo$253bobobo353bobobo$255bobob2ob
345ob2obobo$255bobobobo345bobobobo$255bobobo3b343o3bobobo$257bobobobo
341bobobobo$257bobob347obobo$257bobobob2o339b2obobobo$259bobob343obobo
$259bobobo341bobobo$259bobob2ob337ob2obobo$261bobo341bobo$261bobobob
335obobobo$261bobobobo333bobobobo$263bobob335obobo$263bobobo333bobobo$
263bobob335obobo$265bobobo329bobobo$265bobob331obobo$265bobobo329bobob
o$267bobob327obobo$267bobo329bobo$267bobobob323obobobo$269bobo325bobo$
269bobob323obobo$269bobo325bobo$271bob323obo$271bob2o319b2obo$271bobo
3b315o3bobo$273bo321bo$273bobo2b313o2bobo$273bobob3o309b3obobo$275bobo
b311obobo$275bobo313bobo$275bobobob307obobobo$277bobob2o303b2obobo$
277bobobo2b301o2bobobo$277bobobo305bobobo$279bobob2ob297ob2obobo$279bo
bobobo297bobobobo$279bobobo3b295o3bobobo$281bobobobo293bobobobo$281bob
ob299obobo$281bobobob2o291b2obobobo$283bobob295obobo$283bobobo293bobob
o$283bobob2ob289ob2obobo$285bobo293bobo$285bobobob287obobobo$285bobobo
bo285bobobobo$287bobob287obobo$287bobobo285bobobo$287bobob287obobo$
289bobobo281bobobo$289bobob283obobo$289bobobo281bobobo$291bobob279obob
o$291bobo281bobo$291bobobob275obobobo$293bobo277bobo$293bobob275obobo$
293bobo277bobo$295bob275obo$295bob2o271b2obo$295bobo3b267o3bobo$297bo
273bo$297bobo2b265o2bobo$297bobob3o261b3obobo$299bobob263obobo$299bobo
265bobo$299bobobob259obobobo$301bobob2o255b2obobo$301bobobo2b253o2bobo
bo$301bobobo257bobobo$303bobob2ob249ob2obobo$303bobobobo249bobobobo$
303bobobo3b247o3bobobo$305bobobobo245bobobobo$305bobob251obobo$305bobo
bob2o243b2obobobo$307bobob247obobo$307bobobo245bobobo$307bobob2ob241ob
2obobo$309bobo245bobo$309bobobob239obobobo$309bobobobo237bobobobo$311b
obob239obobo$311bobobo237bobobo$311bobob239obobo$313bobobo233bobobo$
313bobob235obobo$313bobobo233bobobo$315bobob231obobo$315bobo233bobo$
315bobobob227obobobo$317bobo229bobo$317bobob227obobo$317bobo229bobo$
319bob227obo$319bob2o223b2obo$319bobo3b219o3bobo$321bo225bo$321bobo2b
217o2bobo$321bobob3o213b3obobo$323bobob215obobo$323bobo217bobo$323bobo
bob211obobobo$325bobob2o207b2obobo$325bobobo2b205o2bobobo$325bobobo
209bobobo$327bobob2ob201ob2obobo$327bobobobo201bobobobo$327bobobo3b
199o3bobobo$329bobobobo197bobobobo$329bobob203obobo$329bobobob2o195b2o
bobobo$331bobob199obobo$331bobobo197bobobo$331bobob2ob193ob2obobo$333b
obo197bobo$333bobobob191obobobo$333bobobobo189bobobobo$335bobob191obob
o$335bobobo189bobobo$335bobob191obobo$337bobobo185bobobo$337bobob187ob
obo$337bobobo185bobobo$339bobob183obobo$339bobo185bobo$339bobobob179ob
obobo$341bobo181bobo$341bobob179obobo$341bobo181bobo$343bob179obo$343b
ob2o175b2obo$343bobo3b171o3bobo$345bo177bo$345bobo2b169o2bobo$345bobob
3o165b3obobo$347bobob167obobo$347bobo169bobo$347bobobob163obobobo$349b
obob2o159b2obobo$349bobobo2b157o2bobobo$349bobobo161bobobo$351bobob2ob
153ob2obobo$351bobobobo153bobobobo$351bobobo3b151o3bobobo$353bobobobo
149bobobobo$353bobob155obobo$353bobobob2o147b2obobobo$355bobob151obobo
$355bobobo149bobobo$355bobob2ob145ob2obobo$357bobo149bobo$357bobobob
143obobobo$357bobobobo141bobobobo$359bobob143obobo$359bobobo141bobobo$
359bobob143obobo$361bobobo137bobobo$361bobob139obobo$361bobobo137bobob
o$363bobob135obobo$363bobo137bobo$363bobobob131obobobo$365bobo133bobo$
365bobob131obobo$365bobo133bobo$367bob131obo$367bob2o127b2obo$367bobo
3b123o3bobo$369bo129bo$369bobo2b121o2bobo$369bobob3o117b3obobo$371bobo
b119obobo$371bobo121bobo$371bobobob115obobobo$373bobob2o111b2obobo$
373bobobo2b109o2bobobo$373bobobo113bobobo$375bobob2ob105ob2obobo$375bo
bobobo105bobobobo$375bobobo3b103o3bobobo$377bobobobo101bobobobo$377bob
ob107obobo$377bobobob2o99b2obobobo$379bobob103obobo$379bobobo101bobobo
$379bobob2ob97ob2obobo$381bobo101bobo$381bobobob95obobobo$381bobobobo
93bobobobo$383bobob95obobo$383bobobo93bobobo$383bobob95obobo$385bobobo
89bobobo$385bobob91obobo$385bobobo89bobobo$387bobob87obobo$387bobo89bo
bo$387bobobob83obobobo$389bobo85bobo$389bobob83obobo$389bobo85bobo$
391bob83obo$391bob2o79b2obo$391bobo3b75o3bobo$393bo81bo$393bobo2b73o2b
obo$393bobob3o34bo34b3obobo$395bobob71obobo$395bobo35b3o35bobo$395bobo
bob67obobobo$397bobob2o30b3o30b2obobo$397bobobo2b61o2bobobo$397bobobo
32bo32bobobo$399bobob2ob27obob27ob2obobo$399bobobobo28bo28bobobobo$
399bobobo3b24obobobob24o3bobobo$401bobobobo24bobobo24bobobobo$401bobob
26obobobob26obobo$401bobobob2o23bobobo23b2obobobo$403bobob24obobobob
24obobo$403bobobo21b2obo3bob2o21bobobo$403bobob2ob17o3bobo3bobo3b17ob
2obobo$405bobo22bo7bo22bobo$405bobobob15o2bobo7bobo2b15obobobo$405bobo
b3o12b3obobo7bobob3o12b3obobo$407bobob14obobo11bobob14obobo$407bobo16b
obo11bobo16bobo$407bobobob10obobobo11bobobob10obobobo$409bobobo8bobobo
15bobobo8bobobo$409bobob10obobo15bobob10obobo$409bobobo8bobobo15bobobo
8bobobo$411bobob6obobo19bobob6obobo$411bobo8bobo19bobo8bobo$411bobo3b
2o3bobo19bobo3b2o3bobo$413bo8bo23bo8bo$413bob6obo23bob6obo$413bob6obo
23bob6obo$415bob2obo27bob2obo$415bob2obo27bob2obo$415bo4bo27bo4bo$417b
2o31b2o$415b2o2b2o27b2o2b2o$416bo2bo29bo2bo2$414bobo2bobo25bobo2bobo$
414bobo2bobo25bobo2bobo$415bo4bo27bo4bo!

I had to post it facing down because it's stripey and huge( is 116,276 cells and fits in a 869 x 722 bounding box.)

[wildmyron]

Here's a 1692c/3384 spaceship. Again it's c/2:

Code: Select all

<snip rle of giant ship>

Amazing! I thought there would be a clear pattern to these, but playing around with them seems to result in many more 4c/8 ships than I expected. Have you found any pattern in the examples you've found?

12c/24 orthogonal spaceship based on the emerging c/2 pattern

Code: Select all

x = 77, y = 59, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
42bo2$40b6o2$36bob11o2$34b18o2$30bob23o2$28b30o2$24bob35o2$22b34ob7o$
57bo$18bob39o2b6o$54b3obob2o12b2o$16b43obo3b6obo4bo$53b4obobobob2o5b2o
b2o$12bob45obobobob3obo$52b5obobobobob3obo$10b47obobobob2o5b2ob2o$51b
4obobobo3b6obo4bo$6bob47obobo15b2o$50b3obobobo3b5o$4b49obobob2o$49b6ob
ob8o$ob51o$48b17o$ob51o$48b17o$4b49o$49b6obob8o$6bob45obobob2o$50b3obo
bobo3b5o$10b45obobo15b2o$51b4obobobo3b6obo4bo$12bob43obobobob2o5b2ob2o
$52b5obobobobob3obo$16b43obobobob3obo$53b4obobobob2o5b2ob2o$18bob39obo
3b6obo4bo$54b3obob2o12b2o$22b37o2b6o$57bo$24bob30ob7o2$28b33o2$30bob
26o2$34b21o2$36bob14o2$40b9o2$42bob2o!

[KittyTac]

Here's a 1692c/3384 spaceship. Again it's c/2:

Code: Select all

<snip rle of giant ship>

Amazing! I thought there would be a clear pattern to these, but playing around with them seems to result in many more 4c/8 ships than I expected. Have you found any pattern in the examples you've found?

12c/24 orthogonal spaceship based on the emerging c/2 pattern

Code: Select all

nice ship

Isn't that a tagalong for four of those little orthogonal gliders?

[wildmyron]

Isn't that a tagalong for four of those little orthogonal gliders?

Well, yes, it can be described in that way, as can the 929c/1858 and 1692c/3384. But most of us are a little bit loose in using terminology in the descriptions of patterns we post, and in this case in particular it's the ship as a whole which is the interesting part - I feel that the fact that it technically is a tagalong is just incidental to the rest of the ship.

P.S. Apologies for not reducing the 12c/24 posted above, it's obviously larger than it needs to be.

Edited to add:
174c/348 orthogonal (reduced somewhat from initial find, but could be reduced further)

Code: Select all

x = 99, y = 73, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
51bob5o2$49b12o2$45bob17o2$43b24o$55bo4bo$39bob15o4b10o$54bobobobobo$
37b18obobobobobob7o$53bo2bobobobobo$33bob20obobobobobobobob6o$54bobobo
bobobobobob2o$31b26obobobobobobobo2b6o$53b2obobobobobobobobobo$27bob
26obobobobobobobobobo2b7o$52bobobobobobobobobobobob3o$25b30obobobobobo
bobobobobobob7o$51b2obobobobobobobobobobobob2o$21bob30obobobobobobobob
obobobobob10o$50bobobobobobobobobobobobobobobobo$19b34obobobobobobobob
obobobobobobobob7o7bo$49b2obobobobobobobobobobobobobobobobo4bo5b2ob3o$
15bob36obobobobobobobobobobobobobobobobobob7o3bo$48b3obobobobobobobobo
bobobobobobobobobobob4o$13b40obobobobobobobobobobobobobobobobobob4o$
47b4obobobobobobobobobobobobobobobobobobob7o3bo$9bob42obobobobobobobob
obobobobobobobobo2bo5b2ob3o$46b5obobobobobobobobobobobobobobobobo2b6o
7bo$7b46obobobobobobobobobobobobobob3o$45b6obobobobobobobobobobobobobo
bo2b7o$3bob48obobobobobobobobobobobobobo$44b7obobobobobobobobobobo2b2o
bo2b6o$b52obobobobobobobobobo3b4o$43b8obobobobobobobobobob2ob9o$53obob
obobobobobob4o$43b8obobobobobobobobobob2ob9o$b52obobobobobobobobobo3b
4o$44b7obobobobobobobobobobo2b2obo2b6o$3bob48obobobobobobobobobobobobo
bo$45b6obobobobobobobobobobobobobobo2b7o$7b46obobobobobobobobobobobobo
bob3o$46b5obobobobobobobobobobobobobobobobo2b6o7bo$9bob42obobobobobobo
bobobobobobobobobobo2bo5b2ob3o$47b4obobobobobobobobobobobobobobobobobo
bob7o3bo$13b40obobobobobobobobobobobobobobobobobob4o$48b3obobobobobobo
bobobobobobobobobobobobob4o$15bob36obobobobobobobobobobobobobobobobobo
b7o3bo$49b2obobobobobobobobobobobobobobobobo4bo5b2ob3o$19b34obobobobob
obobobobobobobobobobob7o7bo$50bobobobobobobobobobobobobobobobo$21bob
30obobobobobobobobobobobobob10o$51b2obobobobobobobobobobobob2o$25b30ob
obobobobobobobobobobob7o$52bobobobobobobobobobobob3o$27bob26obobobobob
obobobobo2b7o$53b2obobobobobobobobobo$31b26obobobobobobobo2b6o$54bobob
obobobobobob2o$33bob20obobobobobobobob6o$53bo2bobobobobo$37b18obobobob
obob7o$54bobobobobo$39bob15o4b10o$55bo4bo$43b24o2$45bob17o2$49b12o2$
51bob5o!

Edit 2:
600c/1200 orthogonal

Code: Select all

x = 131, y = 95, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78
68bob5o2$66b12o2$62bob17o2$60b24o2$56bob29o2$54b36o2$50bob41o2$48b48o
2$44bob53o2$42b53ob6o$89bobobo3bo$38bob44ob8obo2bob6o$78bobob2ob9o2bo$
36b55obobobobo2b7o$76b12ob2obobobobob3o$32bob55obobobobobobobob7o$74b
15obobobobobobob2o$30b57obobobobobobobobob10o$72b15obobobobobobobobob
2o$26bob57obobobobobobobobobobo2b2ob7o$70b15obobobobobobobobobobo3bo$
24b59obobobobobobobobobobobobobobobob6o$68b15obobobobobobobobobobobobo
bobobob2o$20bob59obobobobobobobobobobobobobobobobobo2b6o7bo$66b15obobo
bobobobobobobobobobobobobobobobo2bo5b2ob3o$18b61obobobobobobobobobobob
obobobobobobobobobob7o3bo$46bobobob3ob23obobobobobobobobobobobobobobob
obobobobobob4o$14bob61obobobobobobobobobobobobobobobobobobobobobob4o$
44b33obobobobobobobobobobobobobobobobobobobobobob7o3bo$12b32o2b31obobo
bobobobobobobobobobobobobobobobobobo2bo5b2ob3o$44b2ob30obobobobobobobo
bobobobobobobobobobobobo2b6o7bo$8bob35obob27obobobobobobobobobobobobob
obobobobobob3o$49b26obobobobobobobobobobobobobobobobobobo2b7o$6b38o3b
26obobobobobobobobobobobobobobobobobobobo$47bob24obobobobobobobobobobo
bobobobobobobobo2b6o$2bob38o5b24obobobobobobobobobobobobobobobobobobob
2o$49b22obobobobobobobobobobobobobobobobobobob6o$41o6b24obobobobobobob
obobobobobobobobobo$47bob22obobobobobobobobobobobobobobobobo2b7o$41o6b
24obobobobobobobobobobobobobobobobo$49b22obobobobobobobobobobobobobobo
bobobobob6o$2bob38o5b24obobobobobobobobobobobobobobobobobobob2o$47bob
24obobobobobobobobobobobobobobobobobobo2b6o$6b38o3b26obobobobobobobobo
bobobobobobobobobobobo$49b26obobobobobobobobobobobobobobobobobobo2b7o$
8bob35obob27obobobobobobobobobobobobobobobobobobob3o$44b2ob30obobobobo
bobobobobobobobobobobobobobobo2b6o7bo$12b32o2b31obobobobobobobobobobob
obobobobobobobobobo2bo5b2ob3o$44b33obobobobobobobobobobobobobobobobobo
bobobobob7o3bo$14bob61obobobobobobobobobobobobobobobobobobobobobob4o$
46bobobob3ob23obobobobobobobobobobobobobobobobobobobobob4o$18b61obobob
obobobobobobobobobobobobobobobobobob7o3bo$66b15obobobobobobobobobobobo
bobobobobobobo2bo5b2ob3o$20bob59obobobobobobobobobobobobobobobobobo2b
6o7bo$68b15obobobobobobobobobobobobobobobob2o$24b59obobobobobobobobobo
bobobobobobob6o$70b15obobobobobobobobobobo3bo$26bob57obobobobobobobobo
bobo2b2ob7o$72b15obobobobobobobobob2o$30b57obobobobobobobobob10o$74b
15obobobobobobob2o$32bob55obobobobobobobob7o$76b12ob2obobobobob3o$36b
55obobobobo2b7o$78bobob2ob9o2bo$38bob44ob8obo2bob6o$89bobobo3bo$42b53o
b6o2$44bob53o2$48b48o2$50bob41o2$54b36o2$56bob29o2$60b24o2$62bob17o2$
66b12o2$68bob5o!

[LaundryPizza03]

What MAP rule emulates this one on horizontal stripes, and what is its non-strobing equivalent? Preliminary tests suggest that it cannot expand horizontally and can never escape its bounding diamond.

[KittyTac]

And if you run it at a 1000x1000 50% filled torus, you get interesting dynamics.

[Mandelbrot]

Firstly, has nobody found out yet that this rule is invertible?

Code: Select all

#CXRLE Pos=-126,-105
x = 253, y = 211, rule = B2e3ain4-cjqtw5ceiry6-ac78/S2ac3ajknq4eiqwy5-ain6-e78:T253,211
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$121o3b129o$253o$117obo8b
126o$253o$115o15b123o$253o$111obo20b120o$140o2b111o$109o15bob2o8bob4ob
110o$132ob4o2bo2b111o$105obo17bobob4o3bob116o$126o2b4o3bob116o$100o3b
2o19b8ob4o2bo2b111o$98obo4b17ob6o8bob4ob110o$98obobo16b2obo2b2ob13o2b
111o$98obobo2b13o6b2o8b120o$98obobobo13b7ob128o$98obobo2b13o6b2o8b120o
$98obobo16b2obo2b2ob13o2b111o$98obo4b17ob6o8bob4ob110o$100o3b2o19b8ob
4o2bo2b111o$126o2b4o3bob116o$105obo17bobob4o3bob116o$132ob4o2bo2b111o$
109o15bob2o8bob4ob110o$140o2b111o$111obo20b120o$253o$115o15b123o$253o$
117obo8b126o$253o$121o3b129o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$253o$
253o$253o$253o$253o$253o$253o$253o!

Secondly, is this rule going to get a name?

[Majestas32]

It's known to be invertible. The rule name I suggest to be "Danny's invertible grayship rule'

[BlinkerSpawn]

Firstly, has nobody found out yet that this rule is invertible?

Code: Select all

rle

Secondly, is this rule going to get a name?

All rules are invertible, some in multiple ways.

[77topaz]

Firstly, has nobody found out yet that this rule is invertible?

Code: Select all

rle

Secondly, is this rule going to get a name?

All rules are invertible, some in multiple ways.

I think he meant that it is its own inverse, like Day and Night.

[KittyTac]

It's invertible, yeah, that is known.