Sokwe wrote:It turns out to be closely related to Buckingham's p13:

Hmm! To summarize all the above, these three are closely related:

`x = 66, y = 53, rule = B3/S23`

3b2o4b2o12b2o5b2obo14b2o3b2obo$4bo5bo13bo5bob2o15bo3bob2o$3bo5bo13bo

10b2o12bo8b2o$3b2o4b2o12b2o9bo13b2o7bo$35bo22bo$3b2o4b2o12b2o9b2o12b2o

7b2o$4bo5bo13bo5b2obo15bo3b2obo$3bo5bo13bo6bob2o14bo4bob2o$3b2o4b2o12b

2o3b2o18b2o7b2o$28bo28bo$3b2o4b2o12b2o4bo18b2o8bo$4bo5bo13bo3b2o19bo7b

2o$3bo5bo13bo6b2obo14bo4b2obo$3b2o4b2o12b2o5bob2o14b2o3bob2o7$8b2o18b

2o$8bo13bob2obobo4bo$9bo12b2obobo4b3o$8b2o16b2o3bo$31b2o3$5b3o19b3o$5b

ob2o13b2o3bob2o$2obobobo14bo2bobobo$ob2obobobo14b2obobobo$6bo2b3o16bo

2b3o$7b2o3bo16b2o3bo$9b3o19b3o$9bo21bo4$45bo15bo$28b2o14bobo13bobo$22b

ob2obobo4bo9bobo13bobo$22b2obobo4b3o7b3ob2o11b2ob3o$26b2o3bo9bo23bo$

31b2o9b3ob2o11b2ob3o$44bob2o11b2obo2$27b3o20b3ob3o$22b2o3bob2o18b2obob

ob2o$22bo2bobobo20bobobobo$24b2obobobo16bobobobobobo$25bobo2b2o16b2o2b

obo2b2o$25bobo24bobo$26bo26bo!

Edit: Here's a p60 based on the period-quintupler variant:

`x = 22, y = 25, rule = B3/S23`

3bo$b3o$o3b2o$b3o2bo$3bobobob2o$4bo2bobo2bo$6b2o3b2o$8bo3$2b2o4bo$3bo

2bo3bo2bo$3o4bob5o$o$7b5o3b2o$6bo5bo2bo$7b2o2b2o3bo$5bobobo3b3obo$4bob

o2b3o5bo2bo$4bo2b2o4b2o2bobobo$3b2o4b3o5bo2bo$9bo2b4obo$12bo3bo$15bo$

15b2o!

EDIT2: And a p84:

`x = 23, y = 26, rule = B3/S23`

3bo$b3o$o3b2o$b3o2bo$3bobobob2o$4bo2bobo2bo$6b2o3b2o$8bo3$2b2o4bo$3bo

2bo3bo2bo$3o4bob5o$o$7b5o$6bo5bo$7b2o2b2o4b2o$2b2obobobo3b2o2bo$2bob2o

bob4o2bobo3b2o$8bo3bobobob2o2bo$9b3o4bobob2o$12b2obo$7b4o2bob3o$7bo2b

2o2bo6b2o$15b3obo2bo$17bob2o!

EDIT3: Bullet51's discovery means optimization for all oscillators in jslife-osc-supplement.zip that involves that bulky round-and-round p12. For instance, this one is p84.

`x = 22, y = 33, rule = B3/S23`

9b2o$9bo$2o4b2obo$o2b2o3bo$b2o2$b2o$obobo3b2o$o3b2o2b2o$b4o10b2o$15bo$

3b2o4b2obo3b3o$3bo5b2ob4o2bo$5bo10bo$4b2o3b5o2b2o$8bo5bobo2bo$4b2o3b2o

2b2o3b2o$4bo2bobo5bo$6b2o2b5o$7bo13bo$5bo2b5obo4b3o$5b3o3bo3bo2bo$8bo

4bo4b2o$7b2o2$13bo$9b2o3b2o$9bo2bob

o2bo$11b2obobobo$15bo2b3o$16b2o3bo$

18b3o$18bo!

I think this one might make a periodx10er:

`x = 13, y = 11, rule = B3/S23`

9b2o$8bobo$8bo$7b2o$4bo4b2o$2o2bob3o2bo$o7bobobo$b7o3bo$8b3o$3b2obobo$

3b2ob2o!