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Smallest oscillators supporting specific periods
Posted: August 5th, 2017, 10:06 am
by wwei23
P1:
P2:
(On the other hand, these two have a smaller average population, while the one above has infinite average population, due to B0.)
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:
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$4bo!
Re: Smallest oscillators supporting specific periods
Posted: August 5th, 2017, 10:36 am
by muzik
Shouldn't this be in Other Cellular Automata?
Re: Smallest oscillators supporting specific periods
Posted: August 5th, 2017, 10:38 am
by wwei23
muzik wrote:Shouldn't this be in Other Cellular Automata?
I tend to "test out" new topics in the sandbox.
Re: Smallest oscillators supporting specific periods
Posted: August 5th, 2017, 10:44 am
by toroidalet
smaller p3:
Code: Select all
x = 4, y = 1, rule = B2c3j/S012c3iy5y
ob2o!
p4:
Code: Select all
x = 1, y = 3, rule = B2i3i/S0
o2$o!
Re: Smallest oscillators supporting specific periods
Posted: August 6th, 2017, 1:40 pm
by muzik
p8:
Code: Select all
x = 3, y = 2, rule = B2-a3-i/S1e3a5i8
obo$o!
Re: Smallest oscillators supporting specific periods
Posted: August 6th, 2017, 3:38 pm
by 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!
Re: Smallest oscillators supporting specific periods
Posted: August 7th, 2017, 7:19 am
by 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$5bo!
Re: Smallest oscillators supporting specific periods
Posted: August 7th, 2017, 7:21 am
by muzik
Re: Smallest oscillators supporting specific periods
Posted: August 7th, 2017, 6:33 pm
by muzik
Smaller p4:
Code: Select all
x = 1, y = 1, rule = B02346/S023
o!
alt p8:
Code: Select all
x = 7, y = 7, rule = B02346/S023
o5$bo$6bo!
Re: Smallest oscillators supporting specific periods
Posted: August 13th, 2017, 1:17 pm
by muzik
You forgot to put the alt p4 in the thread.
Re: Smallest oscillators supporting specific periods
Posted: August 13th, 2017, 7:51 pm
by wwei23
Witch one?
Re: Smallest oscillators supporting specific periods
Posted: August 13th, 2017, 8:42 pm
by muzik
The one-cell I posted.
Re: Smallest oscillators supporting specific periods
Posted: August 13th, 2017, 8:51 pm
by wwei23
muzik wrote:The one-cell I posted.
I'll post it. Either I forgot to post it, or I didn't because of infinite average population...
Re: Smallest oscillators supporting specific periods
Posted: August 20th, 2017, 6:50 am
by muzik
p6:
Code: Select all
x = 1, y = 1, rule = B02348/S0123
o!
Re: Smallest oscillators supporting specific periods
Posted: August 21st, 2017, 3:46 pm
by muzik
Re: Smallest oscillators supporting specific periods
Posted: September 15th, 2017, 9:04 am
by muzik
alt p8:
Code: Select all
x = 2, y = 3, rule = B2-a3-i/S1
o$o$bo!
Re: Smallest oscillators supporting specific periods
Posted: November 21st, 2017, 1:03 am
by Majestas32
p16:
Code: Select all
x = 2,y = 3, rule = B3678/S34678
o$2o$2o!
Re: Smallest oscillators supporting specific periods
Posted: November 21st, 2017, 3:22 am
by Naszvadi
muzik wrote:alt p8:
Code: Select all
x = 2, y = 3, rule = B2-a3-i/S1
o$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!
Re: Smallest oscillators supporting specific periods
Posted: November 27th, 2017, 10:04 am
by 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
Re: Smallest oscillators supporting specific periods
Posted: November 27th, 2017, 12:33 pm
by 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!
Re: Smallest oscillators supporting specific periods
Posted: April 2nd, 2018, 1:56 pm
by wwei23
Please move all discussion here:
viewtopic.php?f=11&t=3248