Oscillators in B45678/S123567

[Rhombic]

This rule cannot grow out of its initial box, and the pattern usually degrades to a number of still lives in this pattern but sometimes, oscillators also appear. For instance, this pattern will degrade into five oscillators in about 550 generations:

Code: Select all

x = 59, y = 41, rule = B45678/S123567
14b13o$14bo11bo$14bobobo3bobobo$14bo2b2o3b2o2bo$14bob2o5b2obo$13obo11b
o$o11bobo11bo$obobo3bobobobob2o5b2obo$o2b2o3b2o2bobo2b2o3b14o$ob2o5b2o
bobobobo3b3obo8bo$o11bobo8bob3o3bobobo$o11bob14o3b2o2bo$ob2o5b2obo10bo
b2o5b2obo$o2b2o3b14obo11bo$obobo3b3obo8bobo11bo$o8bob3o3bobobobob2o5b
2obo$14o3b2o2bobo2b2o3b2o2bob13o$9bob2o5b2obobobobo3bobobobo11bo$9bo
11bobo11bobobobo3bobobo$9bo11bob13obo2b2o3b2o2bo$9bob2o5b2obo15bob2o5b
2obo$9bo2b2o3b2o2bob13obo11bo$9bobobo3bobobobo11bobo11bo$9bo11bobobobo
3bobobobob2o5b2obo$9b13obo2b2o3b2o2bobo2b2o3b14o$23bob2o5b2obobobobo3b
3obo8bo$23bo11bobo8bob3o3bobobo$23bo11bob14o3b2o2bo$23bob2o5b2obo10bob
2o5b2obo$23bo2b2o3b14obo11bo$23bobobo3b3obo8bobo11bo$23bo8bob3o3bobobo
bob2o5b2obo$23b14o3b2o2bobo2b2o3b2o2bo$32bob2o5b2obobobobo3bobobo$32bo
11bobo11bo$32bo11bob13o$32bob2o5b2obo$32bo2b2o3b2o2bo$32bobobo3bobobo$
32bo11bo$32b13o!

EDIT. Quite interesting oscillator that I found, period 7 generations:

Code: Select all

x = 8, y = 5, rule = B45678/S123567
5b3o$3bo2bo$2b4o$bo2bo$3o!

Great oscillator in a 5x4 box, period 5 gen.:

Code: Select all

x = 5, y = 4, rule = B45678/S123567
2ob2o$b3o$b3o$2ob2o!

[towerator]

a P2

Code: Select all

x = 5, y = 5, rule = B45678/S123567
obobo$5o$5o$5o$obobo!

a P9

Code: Select all

x = 5, y = 3, rule = B45678/S123567
obobo$b3o$obobo!

and a p6!

Code: Select all

x = 3, y = 6, rule = B45678/S123567
bo$bo$obo$obo$bo$bo!

We now have p2, p4, p5, p6, p7, p8, 9 and p10.

a way to have very long period oscillator

Code: Select all

x = 19, y = 3, rule = B45678/S123567
b2ob5o3b4obo$o2b9o4bobo$b2ob5o3b4obo!

for an example, here's a p18

Code: Select all

x = 14, y = 3, rule = B45678/S123567
2b3ob2ob3o$2o3bo2bo3b2o$2b3ob2ob3o!

last but not least, here's a p13

Code: Select all

x = 11, y = 3, rule = B45678/S123567
b9o$11o$b9o!

[velcrorex]

p3, p11, p12, p14:

Code: Select all

x = 19, y = 40, rule = B45678/S123567
o17bo$bo15bo$bbobobob3obobobo$4boobo3boboo$bbobobob3obobobo$bo15bo$o
17bo7$bbo10bo$3bo8bo$6b4obo$4b4obbo$6b4obo$3bo8bo$bbo10bo6$11bo$10bo$
5bobbo$4boboobo$5bobbo$10bo$11bo4$6bo$5boo$5bobo$4b5o$5booboo!

[hobbyprogrammer77]

8-cell p3

Code: Select all

x = 3, y = 4, rule = B45678/S123567
3o$bo$bo$3o!

[towerator]

5-cell p4 and 6-cell p8

Code: Select all

x = 12, y = 4, rule = B45678/S123567
8b3o$bo6b3o$bo6bo$3o5bo!

a p34

Code: Select all

x = 3, y = 8, rule = B45678/S123567
bo$obo$3o$3o$3o$obo$3o$3o!

a p ~67

Code: Select all

x = 3, y = 15, rule = B45678/S123567
bo$obo$obo$obo$bo$obo$obo$obo$obo$obo$bo$obo$obo$obo$bo!

[Rhombic]

Any pattern that starts with this shape of whatever length you want it to be is an oscillator:

Code: Select all

x = 146, y = 3, rule = B45678/S123567
b144o$146o$b144o!

Let's try to keep off that example (the one above this line) to create new oscillators.

Period 10 oscillator:

Code: Select all

x = 4, y = 4, rule = B45678/S123567
4o$4o$b2o$bo!

Period 56 oscillator:

Code: Select all

x = 5, y = 6, rule = B45678/S123567
3bo$3bo$2b3o$b3o$ob3o$5o!

[towerator]

an interesting p4:

Code: Select all

x = 10, y = 10, rule = B45678/S123567
2obo2bob2o$ob6obo$3ob2ob3o$b2o4b2o$2o6b2o$2o6b2o$b2o4b2o$3ob2ob3o$ob6o
bo$2obo2bob2o!

the center is P2, but the outer region is p4
By the way, your "super Hp oscillator" actually fails to become a PX, and becomes a P2...

[Rhombic]

Smallish P2. Quite awesome actually.

Code: Select all

x = 3, y = 4, rule = B45678/S123567
bo$obo$3o$3o!

Another P4:

Code: Select all

x = 7, y = 7, rule = B45678/S123567
2bo$b3o$2ob2o$b2ob2o$2b2ob2o$3b3o$4bo!

[TWLife]

p12

Code: Select all

x = 4, y = 4, rule = B45678/S123567
b3o$4o$bo$o!

p14

Code: Select all

x = 7, y = 5, rule = B45678/S123567
2b3o$7o$b2ob2o$2b3o$3bo!

[TWLife]

an assortment of non 'linear' oscillators. The bar on the left shows the period.

Code: Select all

x = 49, y = 255, rule = B45678/S123567
o29b2o10$2o28bo$30bo$31b2o8$3o27bob2o4bo$31b2o4b3o$32bo4bobo$37bobo$
36b2ob2o$38bo$38bo4$4o27bo$30bobo$30b3o8$5o25b5o2b4o$30b5o2b4o$30b5o2b
3o$30b5o2b2o7$6o25b2o$30bobo$32bo8$7o24bobobo$30b3ob3o$31b5o$32b3o7$8o
24bo4b3o5bo$31bo5b3o4b3o$31b4o2b2o4b5o$30b4o3bo4b7o$43b5o$44b3o$45bo4$
9o23b2o4bo$31b2o4b3o$30b4o3bobo$31b2o3bo3bo$32b2o2bo3bo$37bobo$37b3o$
38bo3$10o21bo$30b2o$30b4o$30b4o17$31b3o$30bob2o$31b2o$30b2o17$33bo$30b
7o$32b3o$32bobo$33bo56$10o23b3o$31b5o$30b2ob2o$10o21b5o$33b3o56$30b4o$
30b4o$30b2o$30bobo$31bo!

[Rhombic]

P3 Oscillator. I call it the HIO oscillator. You'll see why hahaha.

Code: Select all

x = 3, y = 4, rule = B45678/S123567
obo$3o$3o$obo!

P2 Rat Trap Oscillator:

Code: Select all

x = 6, y = 4, rule = B45678/S123567
2ob3o$ob4o$ob4o$2ob3o!

Now, the question is, why does this rule have SO many COMMON oscillators?

[towerator]

This is a very unstable rule compared to the other B4.
bon again, why should a 15-cell line fail at becoming an HP?
Is the rule omniperiodic?
Many questions; Few answers.

[TWLife]

P3 Oscillator. I call it the HIO oscillator. You'll see why hahaha.

Code: Select all

x = 3, y = 4, rule = B45678/S123567
obo$3o$3o$obo!

its already been found

[towerator]

a line-like P8 whiwh flips after 4 generations.

Code: Select all

x = 3, y = 9, rule = B45678/S123567
bo$3o$bo$obo$obo$2o$3o$b2o$bo!

[TWLife]

updated version

Code: Select all

x = 80, y = 260, rule = B45678/S123567
30b2o10$2o28bo$30bo$31b2o8$3o27b4o5b2o2b2o5bo$33bo5b2o3b2o2b5o$32bo4b
4o9bo$37b2o5b2o4bo$35b3o7b2o$35b3o5$4o27bo4bo6bo4bo2bo6b2o4b2o5b2o$30b
obo2b3o4bobo3b5o3b3o3bob4o3b4o$30b3o2bobo3bob3o3b4o3b4o3b4obo3b3o$35bo
bo3b2o12bobo7b2o5b3o$34b2ob2o2bo13b2o$36bo$36bo4$5o25b5o2b4o2b4o7b3o4b
2o$30b5o2b4o3bob2o4b3o2bo2bob2o$30b5o2b3o4b4o3bo2b3o4b3o$30b5o2b2o5b2o
bo4b3o8b3o$45b4o14b2o$65bo5$6o26bo3bob2o2b2ob2ob2o3bobo9b2o$30b3o2b4o
4b6o2b5obo6b3o$31b2o2b3o5b6o3bob5o5b2o$35bobo6b4o6bobo6b3o$35bo25b4o$
60b4o$60b2o4$7o24bobobo6bo$30b3ob3o3b2o$31b5o4b3o$32b3o4b4o$39b4o$39bo
bo5$8o24bo4b3o5bo5bobobo7bo2bob3o$31bo5b3o4b3o3b7o3b3o3b2obo$31b4o2b2o
4b5o3b5o4b4o2b2ob2o$30b4o3bo4b7o9b2obo5b2o$43b5o10b3o5b2o$44b3o11b3o$
45bo4$9o23b2o4bo$31b3o3b3o$30b4o3b3o$31b3o2bo3bo$32b2o2bo3bo$37b3o$37b
3o$38bo3$10o21bo$30b2o$30b4o$30b4o17$10o23bo2bobobo$30b4o2b2ob2o$30b3o
4bobo$2o28bo5b5o$37b3o16$10o23bo6b3o5bo$30b7o3b3o5b2o$32b3o5b5o2b4o$4o
28bobo6b2o4bobo$33bo6b2o5bobo$48b2o$48bo54$10o23b3o$31b5o$30b2ob2o$10o
21b5o$33b3o56$10o20b4o$30b4o$30b2o$10o20bobo$31bo2$6o!

[Lewis]

Here's a set of still life numbers to use for the pattern collection to make it easier to read the periods of each row:

Code: Select all

x = 48, y = 32, rule = 123567/45678
6bo4bob2obo4bob2obo3bo6bo3bob2ob2o$7bo2bo6bo2bo6bo2bo6bo2bo2$
7bo9bo9bo2bo6bo2bo$7bo9bo9bo2bo6bo2bo2$7bo9bo9bo2bo6bo2bo$7bo
3bob2obo5b3obo4bob2obo4bob2obo$7bo2bo16bo9bo9bo2$7bo2bo16bo9b
o9bo$7bo2bo16bo9bo9bo2$7bo2bo9bo6bo9bo2bo6bo$7bo3bob2ob2o3bob
2obo10bo3bob2obo3$bob2obo4bob2obo4bob2obo4bob2obo4bob2obo$o6b
o2bo6bo2bo6bo2bo6bo2bo6bo2$o16bo2bo6bo2bo6bo2bo6bo$o16bo2bo6b
o2bo6bo2bo6bo2$o16bo2bo6bo2bo6bo2bo6bo$bob2obo10bo3bob2obo4bo
b2obo3bo6bo$o6bo9bo2bo6bo9bo2bo6bo2$o6bo9bo2bo6bo9bo2bo6bo$o6b
o9bo2bo6bo9bo2bo6bo2$o6bo9bo2bo6bo2bo6bo2bo6bo$bob2obo10bo3bo
b2obo4bob2obo4bob2obo!

[wildmyron]

I've been lurking for a while but these oscillators looked interesting. So here is my first contribution.

P21 (unless I'm mistaken!)

Code: Select all

x = 5, y = 6, rule = B45678/S123567
2ob2o$obo$2bo$2bo$o$o!

I would think the common oscillator periods in this rule would be readily found with one of the automated search programs used by people on this forum. Has someone tried that already or is the manual searching more fun?

[towerator]

A collection of P2s
P.S. actually forgot the collection

[hobbyprogrammer77]

periods 4 and 26

Code: Select all

x = 31, y = 13, rule = B45678/S123567
24bo$24bo$23b3o$22b5o$2bo18b2obob2o$bobo16b2ob3ob2o$o3bo13b13o$bobo16b
2ob3ob2o$2bo18b2obob2o$22b5o$23b3o$24bo$24bo!

Edit:
Another p4

Code: Select all

x = 6, y = 5, rule = B45678/S123567
b2o$b4o$6o$b4o$b2o!

Edit:
Another p26

Code: Select all

x = 14, y = 11, rule = B45678/S123567
4$7b2o$5bobo$4bob2o$5bob2o!

[Lewis]

A bunch of higher period oscillators (20, 26, 32, 41, 47, 49, 53, 55, 64 and 97) (some may have been posted before by others, I didn't check all of them):

Code: Select all

x = 90, y = 88, rule = 123567/45678
bob2obo4bob2obo$o6bo2bo6bo30bo6bo3bob2obo12b5o$48bo6bo2bo6bo10b
obobobo$7bo2bo6bo56b3o5b3o$7bo2bo6bo30bo6bo2bo6bo8bobo5bobo$26b
o7b2o2b2o8bo6bo2bo6bo7b5o3b5o$7bo2bo6bo7b3o8b2o34bo3b2o3b2o3b
o$bob2obo3bo6bo5b7o6b2o10bo6bo2bo6bo6b2o11b2o$o9bo6bo7bobo8b2o
11bob2obo4bob2obo7bo13bo$26bo7b2o2b2o15bo9bo6b2o11b2o$o9bo6bo
54bo3b2o3b2o3bo$o9bo6bo37bo9bo7b5o3b5o$55bo9bo8bobo5bobo$o9bo
6bo56b3o5b3o$bob2ob2o3bob2obo38bo2bo6bo10bobobobo$55bo3bob2ob
o12b5o3$bob2obo4bob2obo$o6bo2bo6bo10bo20bob2ob2o3bob2obo$27bo
bo18bo9bo6bo$7bo2bo17bo$7bo2bo17bo19bo16bo$26b2ob2o17bo16bo$7b
o2bo12bo2b2ob2o2bo$bob2obo4bob2obo5bob2o5b2obo13bo16bo5bob2o3b
2o3b2obo$o9bo6bo5bo2b2ob2o2bo15bob2obo5b3obo5bobo2b3o2b3o2bob
o$26b2ob2o24bo9bo5bob2o3b2o3b2obo$o9bo6bo10bo$o9bo6bo10bo26bo
9bo$27bobo25bo9bo$o9bo6bo10bo$bob2ob2o3bob2obo31bo6bo2bo6bo$49b
ob2obo4bob2obo2$bob2obo4bob2obo$o6bo2bo6bo31bob2ob2o3bob2ob2o
$48bo9bo$7bo9bo$7bo9bo30bo9bo$23bob5o3b5obo8bo9bo$7bo9bo5b2o5b
3o5b2o30b2ob6ob2o$2b3obo4bob2obo6b2o5b3o5b2o8bo9bo12bobo4bobo
$7bo2bo12bob5o3b5obo9bob2obo4bob2obo5bobo6bobo$55bo9bo5bobo4b
obo$7bo2bo59b2ob6ob2o$7bo2bo44bo9bo$55bo9bo$o6bo2bo$bob2obo4b
ob2ob2o30bo6bo2bo6bo$49bob2obo4bob2obo3$o6bo8bo$o6bo9bo$50bob
2obo$o6bo9bo31bo6bo2bo6bo$o6bo9bo41bo6bo$23b3ob5ob3o13bo$o6bo
9bo6b3o5b3o14bo9bo6bo$bob2obo10bo5bo11bo23bo6bo6b2o$7bo9bo6b3o
5b3o14bo23b2o$23b3ob5ob3o14bob2obo3bo6bo6b2ob2o$7bo9bo31bo6bo
3bob2obo8b2o2b2o$7bo9bo48bo6b2ob2o$49bo6bo16b2o$7bo9bo31bo6bo
9bo6b2o$7bo9bo48bo$49bo6bo$50bob2obo10bo$66bo$o6bo3bob2obo$o6b
o2bo6bo$50bob2obo4bob2obo$o6bo9bo10b3o18bo6bo2bo6bo$o6bo9bo8b
obobobo$24bobo5bobo14bo6bo9bo$o6bo9bo6bo9bo14bo6bo9bo$bob2obo
10bo5bo11bo35bo2b4obobob4o2bo$7bo9bo6bo9bo14bo6bo9bo5b2o4b5o4b
2o$24bobo5bobo15bob2obo10bo4b3o13b3o$7bo9bo8bobobobo23bo9bo5b
2o4b5o4b2o$7bo9bo10b3o40bo2b4obobob4o2bo$56bo9bo$7bo9bo38bo9b
o$7bo9bo$49bo6bo9bo$50bob2obo10bo!

[Rhombic]

Another P21:

Code: Select all

x = 5, y = 6, rule = B45678/S123567
5o$b3o$5o$5o$o3bo$5o!

P2 "necklace":

Code: Select all

x = 7, y = 8, rule = B45678/S123567
2b3o$3bo$bo3bo$o5bo$o5bo$bo3bo$3bo$2b3o!

[hobbyprogrammer77]

Two other p21:

Code: Select all

x = 16, y = 12, rule = B45678/S123567
3bo$2b3o$3bo$b2ob2o$2bobo$3ob3o$3ob3o$2bobo5bo$b2ob2o4b2o$3bo7b2o$2b3o
6b4o$3bo6b2obobo!

[knightlife]

Oscillators from p42 to p594:

Code: Select all

x = 84, y = 333, rule = B45678/S123567
11bo6bo6bobobo$12bo6bo4bobobobo$11bo6bo12bo$12bo6bo10bo$11bo6bo12bo$
12bo6bo10bo11b6o$13b4obo6b5o11bo2b3obo$19bo4bo17b6o$18bo4bo$19bo4bo$
18bo4bo$19bo4bobobobo$18bo6bobobo8$13bobobo7bobobo$12bobobobo5bobobobo
$11bo19bo$12bo17bo$11bo19bo$12bo17bo11b6ob3o$11bo2b4o7b5o11b8o3b2o$12b
o5bo5bo17b6ob3o$11bo7bo3bo$12bo5bo5bo$11bo7bo3bo$12bobobobo5bobobobo$
13bobobo7bobobo8$13bobobo7bobobo$12bobobobo5bobobobo$11bo7bo3bo$12bo5b
o5bo$11bo7bo3bo$12bo5bo5bo17bob7ob2o$13b5o5bo2b4o11b15o$12bo5bo5bo5bo
11bob7ob2o$11bo7bo3bo7bo$12bo5bo5bo5bo$11bo7bo3bo7bo$12bobobobo5bobobo
bo$13bobobo7bobobo8$13bobobo7bobobo$12bobobobo5bobobobo$11bo7bo3bo7bo$
12bo5bo5bo5bo$11bo7bo3bo7bo$12bo5bo5bo5bo11bob6o3b4ob5obo$13b4o2bo3bo
7bo9b2ob14o5bobo$18bo5bo5bo11bob6o3b4ob5obo$19bo3bo7bo$18bo5bo5bo$19bo
3bo7bo$12bobobobo5bobobobo$13bobobo7bobobo8$5bo8bobobo7bobobo$4bobo6bo
bobobo5bobobobo$7bo12bo3bo$6bo12bo5bo$7bo12bo3bo$6bo12bo5bo16b19ob2obo
bo$7bo6b5o5bo2b4o10b10o2b6o2b3obob2o$6bo6bo11bo5bo10b19ob2obobo$7bo4bo
11bo7bo$6bo6bo11bo5bo$7bo4bo11bo7bo$6bo6bobobobo5bobobobo$7bo6bobobo7b
obobo8$5bo8bobobo7bobobo$4bobo6bobobobo5bobobobo$7bo12bo11bo$6bo12bo
11bo$7bo12bo11bo$6bo12bo11bo11b7o3b5obob5o$7bo6b5o7b5o10b18ob5obo$6bo
12bo11bo11b7o3b5obob5o$7bo12bo11bo$6bo12bo11bo$7bo12bo11bo$6bo6bobobob
o5bobobobo$7bo6bobobo7bobobo8$5bo6bo6bo6bobobo$4bobo6bo6bo4bobobobo$7b
o4bo6bo4bo7bo$6bo6bo6bo4bo5bo$7bo4bo6bo4bo7bo$6bo6bo6bo4bo5bo10bo2b2ob
9ob2ob3obobo$7bo6b4obo4bo7bo8b6ob10o2b5ob3o$6bo13bo4bo5bo10bo2b2ob9ob
2ob3obobo$7bo11bo4bo7bo$6bo13bo4bo5bo$7bo11bo4bo7bo$6bo13bo4bobobobo$
7bo11bo6bobobo8$5bo8bobobo7bobobo$4bobo6bobobobo5bobobobo$7bo4bo11bo7b
o$6bo6bo11bo5bo$7bo4bo11bo7bo$6bo6bo11bo5bo11b13obo$7bo4bo2b4o7b5o10b
18o$6bo6bo5bo5bo5bo11b13obo$7bo4bo7bo3bo7bo$6bo6bo5bo5bo5bo$7bo4bo7bo
3bo7bo$6bo6bobobobo5bobobobo$7bo6bobobo7bobobo8$5bo8bobobo9bo$4bobo6bo
bobobo7bobo$7bo12bo9bo$6bo12bo9bo$7bo12bo9bo$6bo12bo9bo12b3ob6o3bobo$
7bo12bo9bo10bob2ob11ob2o$6bo12bo9bo12b3ob6o3bobo$7bo12bo9bo$6bo12bo9bo
$7bo12bo9bo$6bo12bo9bo$7bo12bo9bo8$5bo8bobobo7bobobo$4bobo6bobobobo5bo
bobobo$7bo4bo7bo11bo$6bo6bo5bo11bo$7bo4bo7bo11bo$6bo6bo5bo11bo10bo4b2o
b3ob3obobo$7bo6b5o7b5o10b9o3b5ob3o$6bo6bo5bo5bo16bo4b2ob3ob3obobo$7bo
4bo7bo3bo$6bo6bo5bo5bo$7bo4bo7bo3bo$6bo6bobobobo5bobobobo$7bo6bobobo7b
obobo8$5bo8bobobo7bobobo$4bobo6bobobobo5bobobobo$7bo4bo7bo3bo7bo$6bo6b
o5bo5bo5bo$7bo4bo7bo3bo7bo$6bo6bo5bo5bo5bo10bob7ob6o3b3o$7bo6b4o2bo5b
5o10bobob18obo$6bo12bo5bo5bo10bob7ob6o3b3o$7bo12bo3bo7bo$6bo12bo5bo5bo
$7bo12bo3bo7bo$6bo6bobobobo5bobobobo$7bo6bobobo7bobobo8$5bo8bobobo7bob
obo$4bobo6bobobobo5bobobobo$7bo4bo7bo3bo7bo$6bo6bo5bo5bo5bo$7bo4bo7bo
3bo7bo$6bo6bo5bo5bo5bo11b5ob6ob4ob6ob5o$7bo6b4o2bo5b4o2bo8b2o5b8o4b8o
5b2o$6bo12bo11bo11b5ob6ob4ob6ob5o$7bo12bo11bo$6bo12bo11bo$7bo12bo11bo$
6bo6bobobobo5bobobobo$7bo6bobobo7bobobo8$2bobobo7bobobo8bo$bobobobo5bo
bobobo6bobo$8bo11bo8bo$7bo11bo8bo$8bo11bo8bo$7bo11bo8bo14b2o2b3o2bobob
7o$2b5o7b5o10bo11b11obobo4b4o$7bo5bo14bo14b2o2b3o2bobob7o$8bo3bo16bo$
7bo5bo14bo$8bo3bo16bo$bobobobo5bobobobo8bo$2bobobo7bobobo10bo8$3bobobo
4bo6bo6bobobo$2bobobobo4bo6bo4bobobobo$9bo2bo6bo12bo$8bo4bo6bo10bo$9bo
2bo6bo12bo$8bo4bo6bo10bo10b5ob3ob4ob2ob5ob3o3b3o$3b5o6b4obo6b5o10b11o
4b4o5b12o$8bo11bo4bo16b5ob3ob4ob2ob5ob3o3b3o$9bo9bo4bo$8bo11bo4bo$9bo
9bo4bo$2bobobobo11bo4bobobobo$3bobobo11bo6bobobo8$3bobobo6bobobo7bobob
o$2bobobobo4bobobobo5bobobobo$9bo10bo3bo7bo$8bo10bo5bo5bo$9bo10bo3bo7b
o$8bo10bo5bo5bo10b7ob2ob3ob2ob2ob2o2bo$3b5o12bo5b4o2bo8bob7o2b5o2b3ob
6o$8bo10bo11bo10b7ob2ob3ob2ob2ob2o2bo$9bo10bo11bo$8bo10bo11bo$9bo10bo
11bo$2bobobobo10bo5bobobobo$3bobobo12bo5bobobo8$o6bo6bobobobo5bobobo$b
o6bo4bobobobo5bobobobo$o6bo4bo11bo$bo6bo4bo11bo$o6bo4bo11bo$bo6bo4bo
11bo17b2ob3ob4obob5ob3o3b2obo$2b4obo6b5o5bo2b4o10b5o3b6ob7o3b3o2bobo$
8bo10bo5bo5bo11b2ob3ob4obob5ob3o3b2obo$7bo12bo3bo7bo$8bo10bo5bo5bo$7bo
12bo3bo7bo$8bo4bobobobo5bobobobo$7bo6bobobo7bobobo8$2bobobobo5bobobo5b
o6bo$bobobobo5bobobobo5bo6bo$o11bo7bo3bo6bo$bo11bo5bo5bo6bo$o11bo7bo3b
o6bo$bo11bo5bo5bo6bo10b3obob4obob4obob4ob6ob3o2b2o$2b5o7b4o2bo5b4obo9b
6ob6ob6ob6o6b10o$7bo11bo12bo10b3obob4obob4obob4ob6ob3o2b2o$8bo11bo10bo
$7bo11bo12bo$8bo11bo10bo$bobobobo5bobobobo12bo$2bobobo7bobobo12bo!

Some of these have been posted earlier but I have been searching for the highest period possible of this symmetrical 3-wide style and have not found any with extendable period. They tend to turn into wicks. p594 is the highest period so far.

p18 wick:

Code: Select all

x = 141, y = 35, rule = B45678/S123567
b3ob2ob5o3b10ob2obob5obobobob5obobobob5obobobob5obobobob5obob2ob10o3b
5ob2ob3o$ob2ob3o5b3o3b7ob3ob7ob3ob7ob3ob7ob3ob7ob3ob7ob3ob7o3b3o5b3ob
2obo$b3ob2ob5o3b10ob2obob5obobobob5obobobob5obobobob5obobobob5obob2ob
10o3b5ob2ob3o14$b3ob2ob5o3b10ob2obob5obobobob5obobobob5obobobob5obobob
ob5obobobob5obob2ob10o3b5ob2ob3o$ob2ob3o5b3o3b7ob3ob7ob3ob7ob3ob7ob3ob
7ob3ob7ob3ob7ob3ob7o3b3o5b3ob2obo$b3ob2ob5o3b10ob2obob5obobobob5obobob
ob5obobobob5obobobob5obobobob5obob2ob10o3b5ob2ob3o14$b3ob2ob5o3b10ob2o
bob5obobobob5obobobob5obobobob5obobobob5obobobob5obobobob5obob2ob10o3b
5ob2ob3o$ob2ob3o5b3o3b7ob3ob7ob3ob7ob3ob7ob3ob7ob3ob7ob3ob7ob3ob7ob3ob
7o3b3o5b3ob2obo$b3ob2ob5o3b10ob2obob5obobobob5obobobob5obobobob5obobob
ob5obobobob5obobobob5obob2ob10o3b5ob2ob3o!

[wildmyron]

I'm also interested in these channel style patterns and have so far tried out a range of channel widths and casing styles, not so much in search of oscillators but trying to find a way to propagate a signal along such a channel. I don't know if that's even theoretically possible in this rule. So far most of what I've tried acts like a fuse, leaving behind a variety of different SLs or low period oscillators. Some have chaotic behaviour for a seemingly large number of generations whilst others decay rapidly to stable patterns. Other outcomes are: channel completely extinguished, or an empty channel with different structure. I don't think most of these are particularly interesting though because a lot of the results are dependent on channel length as well as the seed.

One amusing example though might be called the ohio generator (with slight modification at the end to clean up).

Code: Select all

x = 34, y = 4, rule = B45678/S123567
33o$bo31bo$bo$33o!

[Rhombic]

P12 oscillator:

Code: Select all

x = 5, y = 5, rule = B45678/S123567
2bo$2ob2o$2ob2o$b3o$5o!

P2 oscillator.

Code: Select all

x = 3, y = 5, rule = B45678/S123567
o$o$3o$2bo$2bo!