What oscillator periods are known:

•All periods under 43, except for 19, 23, 34, 38, and 41

•All periods above 43, using snark loops

What oscillator types are known:

•Billiard table configurations, oscillators in which the rotor is encased in the stator. The definition of "encased" is not always clear.

Examples of billiard table oscillators:

`x = 58, y = 13, rule = B3/S23`

4bob2o42b2o$4b2obo26b2o14b2o$34b2o$4b3o12b2ob2o26b4o$2obobobo10bobobob

o9b4o11bo4bob2o$2obo3bo10bo3bobo6bobo4bo10bobo2bob2o$3bo3bob2o4b2obo3b

ob2o5b2obo3bo7b2obobo2bo$3bo3bob2o5bobo3bo11bo3bob2o4b2obo2bobo$4b3o9b

obobobo11bo4bobo8b4o$17b2ob2o13b4o$3bob2o45b2o$3b2obo30b2o13b2o$37b2o!

•Hassler oscillators, oscillators in which an unstable object is perturbed by other oscillator(s) (or still life[s]). The perturbed object need not necessarily be unstable, but the perturbers have to affect it in some way.

Examples of hassler oscillators:

`x = 69, y = 15, rule = B3/S23`

38b2o$2o12b2o23bo21bo4bo$bo12bo24bobo9b2o8b6o$bobo8bobo5b3o10b3o4bobo

8bo9bo4bo$2b2o8b2o7b3o8b3o14bobo$49b2o$5b6o14b6o12b2o$43b2ob2o13b6o$2b

2o8b2o7b3o8b3o11b2o12bo6bo$bobo8bobo5b3o10b3o4b2o17bo8bo$bo12bo24bobo

18bo6bo$2o12b2o23bo8bobo10b6o$38b2o9bobo$51bo$51b2o!

•Shuttle oscillators, oscillators usually of an even period in which an active object goes back and forth, typically reflecting off some sort of stabilization at the ends. Some oscillators are a trivial type of shuttle without stabilizations, like the Tumbler.

Examples of shuttle oscillators:

`x = 180, y = 39, rule = B3/S23`

79b2o2bo38bo2b2o$79bo2bobo36bobo2bo$80bobobo36bobobo$79b2obob2o34b2obo

b2o$78bo3bo2bo11bo22bo2bo3bo$77bob2o2b3o10bobo21b3o2b2obo$77bo4b4o10bo

bo14b2o5b4o4bo$78b3o2b3o11bo2b2o2b2o4b2obo6b3o2b3o$52b2o28bo2bo14bo3b

2o3bo10bo2bo$22bo28bobo22b5obob2o14b2o7bo10b2obob5o$20bobo28bo24bo2bo

2bobo24b3o9bobo2bo2bo$2o3bo7b2o4bobo23bo5b3o13bo13bo2bo36bo2bo$2ob2o8b

2o3bo2bo21b3o21b3o12b2o38b2o$4bobo12bobo20bo27bo$5bo14bobo9b2o9b3o21b

3o12b2o$5b3o2b2o10bo9bobo10bo5b3o13bo13bo2bo62bo4bo$10b2o22bo16bo24bo

2bo2bobo24b3o33b2ob4ob2o$34b2o15bobo22b5obob2o14b2o7bo11bo25bo4bo$52b

2o28bo2bo14bo3b2o3bo9b3o39bo$78b3o2b3o11bo2b2o2b2o4b2obo4bo43b2o8bo4bo

$77bo4b4o10bobo14b2o2bobo41b2o7b2ob4ob2o$77bob2o2b3o10bobo19bo53bo4bo$

78bo3bo2bo11bo$79b2obob2o34bo$80bobobo32bobobo$79bo2bobo32b2o2bo$79b2o

2bo37b2o$111b3o$110b5o$109bob3obo$107b3o5b3o$106bo3bo3bo3bo$107b4obob

3obo$111b3o3bo$106bob2obobobo$106b2obo2bo2b2o$110bo2bobo$111b2o2bo$

115b2o!

•Other oscillators, any kind of oscillator that does not meet any of the above definitions.

What do you think the missing oscillator periods could be?

Examples:

I think that a p19 oscillator could be....

•A pre-pulsar shuttle with pulsars bouncing back and forth

•A loop of gliders reflecting between p19 dependent reflectors of some sort

•An extensible pattern based on a stabilization of the several known p19 wicks

•An unstable object being perturbed at p19 by a group of still lifes

•A billiard table configuration

I think that a p34 oscillator could be....

•Two p17s interacting to hassle something like a toad

•A pre-pulsar shuttle based on (for example) clocks or killer toads

What to post in this thread:

•Challening the definitions posted above

•Ideas for how to make an oscillator of period n

•Oscillators that break a record of being the smallest of that period

•Solutions to the problem