B3678/S245

M7a7r7k7 · Post by **M7a7r7k7** » February 3rd, 2013, 1:20 pm

When experimenting with other rules, I found this rule with a certain p168 oscillator that can hassle another p2 oscillator into a p4 and vice versa. This allows large period oscillators. Here are four, but the last one can be considered to be trivial.

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x = 68, y = 50, rule = B3678/S245
7bo2bobobo2bobobo2$7bo2bo6bo3bo8bo$29bo$7bo2bobobo2bobobo7bo$29bo$7bo
2bo3bo2bo3bo7bo$30bo$7bo2bobobo2bobobo7$3bobobo2bobobo2bobobo8bo$29bo$
7bo6bo2bo11bo10bo$29bo9b3o$3bobobo2bobobo2bobobo7bo10bo$30bo$7bo6bo2bo
3bo2$3bobobo2bobobo2bobobo5$3bobobo2bobobo2bo3bo2$3bo6bo3bo2bo3bo8bo
25bo$29bo25bo$3bobobo2bo3bo2bobobo7bo10bo14bo$29bo9b3o13bo$7bo2bo3bo6b
o7bo10bo14bo$30bo25bo$3bobobo2bobobo6bo5$o2bobobo2bobobo2bobobo2$o2bo
3bo2bo3bo2bo3bo8bo25bo$29bo25bo$o2bo3bo2bo3bo2bobobo7bo10bo14bo10bo$
29bo9b3o13bo9b3o$o2bo3bo2bo3bo2bo3bo7bo10bo14bo10bo$30bo25bo$o2bobobo
2bobobo2bobobo!

Here are some other oscillators and still lifes:

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x = 82, y = 52, rule = B3678/S245
6bo7bo13b2o5b2o5b2o7bo28b2o$bo3bobo4b3o4bobobo5bo6bo6bo6bobo4b2o6b2o4b
2o7bo$obo2bobo4bo5bob2ob3o3b3o3b4o4b3o3bo2bo4bo2bo3bo2bo2bo2bo4b3o$bo
4bo4b2o6bo5bo2b3o6bo4b3o4bobo7b2o3bo2bo2bobo5bo$18b2o10bo6b2o5bo5bo14b
2o4bo5b2o$30b2o4$2bo4bo3b2o13bo9bo$2bo4bo3b2o4bo6bobobo7bobo$2bo4bo3b
2o3b3o6b3o6bo$7bo3b2o4bo6bobobo10b2o$26bo6b2o$39bo$35bobo$8bo28bo$5b3o
$5b3o$5b3o$4bo4$2bo5b2o4b2o6b2o$2b2o4b2o3b2o6bobo$b2o5bo6bo5bobo$22b2o
5$8b4o$7bo4bo$7bo4bo$7bo4bo$7bo4bo$8b4o9$8bo$7bo$7bo$7bo$7bo$8bo!

A p20 c/2, a p2 c/2, and a p23 4c/23 spaceship:

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x = 20, y = 20, rule = B3678/S245
3bo2bo$2bobobo2bobo$bo3b3ob2o2bo3bo$2o6bobob2o4b2o$4o2b3obob2o4b2o$bo
5bob2o2bo3bo$9bobo4$bo$b3o$b2o$bobo2$3bo$2bo$b2o$b4o$2bo5$6b3o2$2b2o3b
o$bo2b4o$bo2b4o$2b2o3bo2$6b3o!

This rule is similar to Move (or Morley), with a 7 added into the born ruleset. However, the period 168 oscillator turns into the slow moving puffer, the p9 oscillator turns into a still life, and the c/7 spaceship in Move turns into a still life. Otherwise, the other patterns are the same in both rules.