User:H. H. P. M. P. Cole/Maximum number of 4-cell oscillators: HROT edition

Forum thread

RULES

- No infinite series of only 4-cell objects

- No rules where the only 4-cell stable objects are still-lifes (so no B/S012345678)

- No objects (SLs, oscs, spaceships, and growing patterns that never stop) with minpop lower than 4 in the rule

- No explosive rules

- No 4-cell predecessors of other non-minpop-4 oscillators

- Rule HAS to be HROT

- Rule must not be B0 (due to a loophole toroidalet found)

- The number of points you have is governed by the number of minpop 4-cell oscillators you have in your rule (due to a loophole Haycat found)

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Number of cells in neighbourhood	Number of objects	Periods/Speeds	Points (number of objects/cells in neighbourhood)	Discoverer	Rulestring	RLE
4	Unsatisfiable
8	9	p1, p2	1.125	H. H. P. M. P. Cole	(too long to put here)	x=36, y = 10, rule = R3,C2,S2,B3,NW0001000000000000010001010101000100000000000001000 bobo6bobo5b4o5b2o5bo2bo$o3bo4bobo15b2o5bo2bo5$bobo6bobo5b2ob2o11bo2bo 3$o3bo4bobo22bo2bo!
12	40	p1, p2, c/1o	3.333	H. H. P. M. P. Cole	R3,C2,S2,B3,N+	x=149, y = 80, rule = R3,C2,S2,B3,N+ 2o13bobo13bo2bo$2o13bobo13bo2bo9$15bobo13bo2bo2$15bobo13bo2bo9$31bo2b o3$31bo2bo17$2b2o11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo $bo2bo9bo3bo10bo4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o9$2b2o 11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo2$bo2bo9bo3bo10bo 4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o9$2b2o11b2o14b2o12bobo 15bobo15b2o15b2o10bobo9b2o12b2o8bobo3$bo2bo9bo3bo10bo4bo9bo3bo13bobo14b 2o16bobo9bo2bo7bo2bo11b2o8b2o14$bo2b3o!