Smallest oscillators supporting specific periods

[wwei23]

P1:

Code: Select all

x = 1, y = 1, rule = B/S0
o!

P2:

Code: Select all

x = 1, y = 1, rule = B0/S
o!

(On the other hand, these two have a smaller average population, while the one above has infinite average population, due to B0.)

Code: Select all

x = 2, y = 2, rule = B2e/S
bo$o!

Code: Select all

x = 3, y = 1, rule = B2c/S
obo!

P3:

Code: Select all

x = 4, y = 1, rule = B2c3j/S012c3iy5y
ob2o!

P4:

Code: Select all

x = 1, y = 3, rule = B2i3i/S0
o2$o!

Alternative P4:

Code: Select all

x = 1, y = 3, rule = B2ci/S1e
o$o$o!

Smaller but with infinite average population:

Code: Select all

x = 1, y = 1, rule = B02346/S023
o!

P5:

Code: Select all

x = 5, y = 5, rule = B2kn3a/S2aen3an
2o$o2$4bo$3b2o!

P6:

Code: Select all

x = 4, y = 4, rule = B2en3jq4jknrtw5cjqry6ai7c8/S01e2ai3iky4iqrtz5ijry6-en
2bo$3bo2$o!

Alternatively, this one is smaller but has an infinite average population:

Code: Select all

x = 1, y = 1, rule = B02348/S0123
o!

P7:

Code: Select all

x = 6, y = 7, rule = B2cei3ei4a6c/S01e2c3i4t
bo3bo$3bo$3bo2$3bo$o$2bo!

P8:

Code: Select all

x = 3, y = 2, rule = B2-a3-i/S1e3a5i8
obo$o!

Alternate P8 but infinite average population:

Code: Select all

x = 7, y = 7, rule = B02346/S023
o5$bo$6bo!

P9:

Code: Select all

x = 6, y = 5, rule = B2cei3ei4a6c/S01e2c3i4t
5bo2$2bobo2$o4bo!

P10:

Code: Select all

x = 5, y = 5, rule = B2en3c/S06n
o2$2bo2$4bo!

1-cell with infinite average population:

Code: Select all

x = 1, y = 1, rule = B02346/S3
o!

P17:

Code: Select all

x = 5, y = 5, rule = B2en3jq4jknrtw5cjqry6ai7c8/S01e2ai3iky4iqrtz5ijry6-en
o2$2bo2$4bo!

P19:

Code: Select all

x = 5, y = 5, rule = B2ein3aijq4ceiky5-cn6ikn8/S02ce5e6ce8
o2$2bo2$4bo!

P79:

Code: Select all

x = 5, y = 5, rule = B2-a3a4acj5eiry6e7c/S01c3aijqy4aceijw5y6n8
o2$2bo2$4bo!

[muzik]

Shouldn't this be in Other Cellular Automata?

[wwei23]

Shouldn't this be in Other Cellular Automata?

I tend to "test out" new topics in the sandbox.

[toroidalet]

smaller p3:

Code: Select all

x = 4, y = 1, rule = B2c3j/S012c3iy5y
ob2o!

p4:

Code: Select all

x = 1, y = 3, rule = B2i3i/S0
o2$o!

[muzik]

p8:

Code: Select all

x = 3, y = 2, rule = B2-a3-i/S1e3a5i8
obo$o!

[AforAmpere]

p6:

Code: Select all

x = 4, y = 4, rule = B2en3jq4jknrtw5cjqry6ai7c8/S01e2ai3iky4iqrtz5ijry6-en
2bo$3bo2$o!

Random p7:

Code: Select all

x = 6, y = 7, rule = B2cei3ei4a6c/S01e2c3i4t
bo3bo$3bo$3bo2$3bo$o$2bo!

p9:

Code: Select all

x = 6, y = 5, rule = B2cei3ei4a6c/S01e2c3i4t
5bo2$2bobo2$o4bo!

p17:

Code: Select all

x = 5, y = 5, rule = B2en3jq4jknrtw5cjqry6ai7c8/S01e2ai3iky4iqrtz5ijry6-en
o2$2bo2$4bo!

p19:

Code: Select all

x = 5, y = 5, rule = B2ein3aijq4ceiky5-cn6ikn8/S02ce5e6ce8
o2$2bo2$4bo!

p79:

Code: Select all

x = 5, y = 5, rule = B2-a3a4acj5eiry6e7c/S01c3aijqy4aceijw5y6n8
o2$2bo2$4bo!

[Rhombic]

p10:

Code: Select all

x = 5, y = 5, rule = B2en3c/S06n
o2$2bo2$4bo!

Edit: tiny 3c/50 in rule where the p10 aso works:

Code: Select all

x = 6, y = 4, rule = B2en3-ej4ctwyz7c/S02-cn3-cr6n
3o$3o2$5bo!

[muzik]

Smaller p2:

Code: Select all

x = 1, y = 1, rule = B0/S
o!

[muzik]

Smaller p4:

Code: Select all

x = 1, y = 1, rule = B02346/S023
o!

alt p8:

Code: Select all

x = 7, y = 7, rule = B02346/S023
o5$bo$6bo!

[muzik]

You forgot to put the alt p4 in the thread.

[wwei23]

Witch one?

[muzik]

The one-cell I posted.

[wwei23]

The one-cell I posted.

I'll post it. Either I forgot to post it, or I didn't because of infinite average population...

[muzik]

p6:

Code: Select all

x = 1, y = 1, rule = B02348/S0123
o!

[muzik]

10:

Code: Select all

x = 1, y = 1, rule = B02346/S3
o!

[muzik]

alt p8:

Code: Select all

x = 2, y = 3, rule = B2-a3-i/S1
o$o$bo!

[Majestas32]

p16:

Code: Select all

x = 2,y = 3, rule = B3678/S34678
o$2o$2o!

[Naszvadi]

alt p8:

Code: Select all

x = 2, y = 3, rule = B2-a3-i/S1
o$o$bo!

2bit, in outer-totalistic rule and on and edge-node transitive tesselation:

Code: Select all

#C Moore neighbourhood still violates symmetry
x = 2, y = 4, rule = B02/S1V
o3$bo!

[lifeisawesome]

p6?

Code: Select all

x = 3, y = 3, rule = B3-i5/S23
bo$obo$2o!

it's my profile pic
Edit: nvm, there's a single-cell one

[AbhpzTa]

p5:

Code: Select all

x = 3, y = 1, rule = B2aei3e/S01e2ci3e4e
obo!

non-B0 p6:

Code: Select all

x = 3, y = 1, rule = B2aci4c5y6c/S1e2k3q4c
obo!

p7:

Code: Select all

x = 3, y = 1, rule = B2aci4c5y6c/S1e2k3iq4c6i
obo!

p21:

Code: Select all

x = 3, y = 1, rule = B2aci3cq4c5y6c/S1e2k3iqy4ce5y6ain8
obo!

[wwei23]

Please move all discussion here:
viewtopic.php?f=11&t=3248