Smallest known oscillators/spaceships of a given period/speed:

Oscillators:

p2: 3-cell bounding box, 3 cells: found by John Conway in March 1970

`x = 1, y = 3, rule = B3-y5cr/S234w6n`

o$o$o!

p3: 40-cell bounding box, 16 cells: found by Moosey on 13/8/2019:

`x = 10, y = 4, rule = B3-y5cr/S234w6n`

3b4o$b3o2b3o$o8bo$2o6b2o!

p4: 49-cell bounding box, 12 cells: found by David Buckingham in December 1973

`x = 7, y = 7, rule = B3-y5cr/S234w6n`

4bo$3bobo2$bo3b2o$o5bo$bobo$3b2o!

p5: 36-cell bounding box, 16 cells: found by Sol Goodman and Arthur Taber in 1971

`x = 6, y = 6, rule = B3-y5cr/S234w6n`

bo2bo$ob2obo$bo2bo$bo2bo$ob2obo$bo2bo!

p6: 9-cell bounding box, 5 cells:

`x = 3, y = 3, rule = B3-y5cr/S234w6n`

o$2o$b2o!

p8: 36-cell bounding box, 12 cells: found by Simon Norton in 1970

`x = 6, y = 6, rule = B3-y5cr/S234w6n`

2o$2obo$4bo$bo$2bob2o$4b2o!

p9: 25-cell bounding box, 8 cells: found by muzik on 13/8/2019

`x = 5, y = 5, rule = B3-y5cr/S234w6n`

2bo$bobo$o3bo$bobo$2bo!

p10: 44-cell bounding box: 17 cells: found by muzik on 13/8/2019

`x = 11, y = 4, rule = B3-y5cr/S234w6n`

5b2o$2o3b2ob3o$2o5b4o$6b2o!

p12: 33-cell bounding box, 14 cells: found by muzik on 13/8/2019

`x = 11, y = 3, rule = B3-y5cr/S234w6n`

5b2o$2o2bo2bob2o$2o3b2o2b2o!

p16: 121-cell bounding box, 22 cells: found by FWKnightship on 13/8/2019

`x = 11, y = 11, rule = B3-y5cr/S234w6n`

4b2o$4b2o3$2o2bobo$2obo5b2o$4bobo2b2o$5bo2$5b2o$5b2o!

p18: 105-cell bounding box, 21 cells: found by Hdjensofjfnen on 13/8/2019

`x = 21, y = 5, rule = B3-y5cr/S234w6n`

2bo8b2o5bo$bobo6b3o4bobo$o3bo4bo6bo3bo$bobo6b3o4bobo$2bo8b2o5bo!

p36: 143-cell bounding box, 21 cells: found by Moosey on 14/8/2019

`x = 11, y = 13, rule = B3-y5cr/S234w6n`

7bo$6bobo$5bo3bo$6bobo$7bo4$3bo$bo3bo2$o4b2o2b2o$2o3bo3b2o!

p45: 128-cell bounding box, 26 cells: found by Moosey on 14/8/2019

`x = 16, y = 8, rule = B3-y5cr/S234w6n`

14b2o$11b2o2bo$11bob2o$2bo7bo$bobo6bo$o3bo6bob2o$bobo7b2o2bo$2bo11b2o!

Spaceships:

c/4 orthogonal: 28-cell bounding box, 16 cells: found by Ian07 on 13/8/2019

`x = 4, y = 7, rule = B3-y5cr/S234w6n`

2b2o$o2bo$4o2$4o$o2bo$2b2o!

c3/19 orthogonal: 24-cell bounding box, 14 cells: found by Moosey on 13/8/2019

`x = 4, y = 6, rule = B3-y5cr/S234w6n`

bo$obo$ob2o$b3o$b3o$b2o!

c/4 diagonal: 9-cell bounding box, 5 cells: found by Richard Guy in 1969

`x = 3, y = 3, rule = B3-y5cr/S234w6n`

b2o$obo$2bo!

c/9 diagonal: 9-cell bounding box, 6 cells: found by muzik on 13/8/2019

`x = 3, y = 3, rule = B3-y5cr/S234w6n`

3o$obo$o!