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Smallest Oscillators Supporting Specific Periods

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Smallest Oscillators Supporting Specific Periods

Postby 77topaz » January 26th, 2018, 10:29 pm

The oscillator counterpart of the 5s Project. Non-trivial oscillators only.

Here's a few periods to start off with:

Period 2, 2 cells
x = 2, y = 2, rule = B2/S
o$bo!


Period 4, 2 cells
x = 3, y = 1, rule = B2-a/S1
obo!


Period 6, 4 cells
x = 7, y = 1, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
obobobo!


Period 14, 4 cells
x = 4, y = 3, rule = B2-a/S12
2o$3bo$3bo!


Period 16, 3 cells
x = 7, y = 1, rule = B026/S1
o2bo2bo!


Period 18, 10 cells
x = 13, y = 6, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$2bo$o4bobo$12bo$10bo$10b2o!


Period 26, 6 cells
x = 4, y = 3, rule=B36/S125
2o$b2o$2b2o!


Period 100, 4 cells
x = 3, y = 2, rule = B2e3-a/S23
b2o$o$bo!


Period 106, 8 cells
x = 4, y = 5, rule = B2e3aceij5-ijr/S23-a4
3o$bo$3bo$2b2o$3bo!
Last edited by 77topaz on January 28th, 2018, 12:32 am, edited 1 time in total.
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Re: Smallest Oscillators Supporting Specific Periods

Postby Majestas32 » January 26th, 2018, 10:51 pm

p11, 12 cells:
x = 11, y = 3, rule = B367/S2-i35ek6ek
b2o5b2o$obo5bobo$b2o5b2o!


p17, 18 cells:
x = 9, y = 5, rule = B367/S2-i35ek6ek
b2obob2o$2o5b2o2$2o5b2o$b2obob2o!


p20, 8 cells:
x = 10, y = 7, rule = B2-a/S12-i3ij
7bo$2o7bo2$6bobo2$9bo$7bo!


p24, 4 cells:
x = 4, y = 3, rule = B3-en4t6-c/S123i4i5
2o$3bo$3bo!


p30, 9 cells:
x = 4, y = 6, rule = B36/S2-i36-ac
o$obo$o2bo$3bo$b2o$bo!


p34, 4 cells:
x = 2, y = 4, rule = B2-a/S12-i3ij
2o2$o$bo!


p49, 8 cells:
x = 17, y = 5, rule = B2-a/S12-i3ij
3bo$o3bo$3bo9bo$12bo3bo$13bo!


p92, 9 cells:
x = 7, y = 10, rule = B2-a/S12-i
4bo$3bobo2$2bo3bo2$4bo2$2o2$o!


p108, 3 cells:
x = 2, y = 3, rule = B2-a/S12-i3i
bo$o$bo!


p119, 14 cells:
x = 3, y = 8, rule = B36/S2-i36-ac
bo$3o$obo$bo$bo$obo$3o$bo!
Last edited by Majestas32 on January 26th, 2018, 11:02 pm, edited 1 time in total.
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Re: Smallest Oscillators Supporting Specific Periods

Postby BlinkerSpawn » January 26th, 2018, 10:52 pm

3-cell p3:
x = 3, y = 3, rule = B3jy/S012c
obo2$bo!

3-cell p5:
x = 3, y = 3, rule = B2e3jy7e/S012-in3r4i5i
obo2$bo!

3-cell p6:
x = 3, y = 3, rule = B3ajy5y7e/S012-in3ijr4i5i
obo2$bo!

LLS might be able to do better.
All even periods take at most 13:
x = 12, y = 32, rule = B2a3ry/S1c2c3y
2bobo$3bo5bo$8bo$2bobo$4bo$bo$o5bo$5bobo5$3bobo$4bo5bo$9bo$2bobo$4bo$b
o$o5bo$5bobo5$4bobo$5bo5bo$10bo$2bobo$4bo$bo$o5bo$5bobo!
Last edited by BlinkerSpawn on January 27th, 2018, 11:12 am, edited 2 times in total.
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Re: Smallest Oscillators Supporting Specific Periods

Postby 77topaz » January 26th, 2018, 10:55 pm

Period 15, 8 cells:
x = 5, y = 5, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
3o$bo2$3bo$2b3o!


Period 28, 14 cells:
x = 11, y = 3, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
2bobobobo$obobobobobo$2bobobobo!


Period 42, 10 cells:
x = 11, y = 7, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
5bo$obobobobobo$5bo2$5bo2$5bo!
Last edited by 77topaz on January 26th, 2018, 11:38 pm, edited 3 times in total.
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Re: Smallest Oscillators Supporting Specific Periods

Postby Majestas32 » January 26th, 2018, 10:55 pm

There's this too: https://goo.gl/buUqjQ

There's a 1 cell p1, p2, p4, p6, and p10.
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Re: Smallest Oscillators Supporting Specific Periods

Postby Majestas32 » January 26th, 2018, 10:56 pm

77topaz wrote:Period 15, 8 cells:
x = 5, y = 5, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
3o$bo2$3bo$2b30!


This is a 5 cell spark.
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Re: Smallest Oscillators Supporting Specific Periods

Postby 77topaz » January 26th, 2018, 10:58 pm

Majestas32 wrote:
77topaz wrote:Period 15, 8 cells:
x = 5, y = 5, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i
3o$bo2$3bo$2b30!


This is a 5 cell spark.


I made a typo in the RLE, that "0" should have been an "o".

Majestas32 wrote:There's this too: https://goo.gl/buUqjQ

There's a 1 cell p1, p2, p4, p6, and p10.


Oh, I didn't realise such a thread existed already. Is it possible to combine threads with this forum's software?
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Re: Smallest Oscillators Supporting Specific Periods

Postby Majestas32 » January 26th, 2018, 11:04 pm

No but there's a 3 cell p17, p19, and p79 there, and 2 cell p5, p7, p8, and p21.
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Re: Smallest Oscillators Supporting Specific Periods

Postby Gamedziner » January 27th, 2018, 8:08 am

77topaz wrote:
Period 4, 2 cells
x = 3, y = 1, rule = B2-i/S1
obo!




That's p2.

EDIT: Original post has been fixed.
Last edited by Gamedziner on January 28th, 2018, 7:18 am, edited 1 time in total.
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » January 27th, 2018, 8:22 am

All 2 cell populations:

p3
x = 3, y = 3, rule = B2ein3ekq4567/S012cn34-a5-i6-n7
2bo2$o!

p8
x = 3, y = 3, rule = B2en3cejq4cjkt5jkny6i8/S01c2in3-knr4acknqry5qry6aik
2bo2$o!

p9
x = 1, y = 3, rule = B2ain3-eijr4ijkry5-jkq6aik8/S01e2ein3-y4cjkty5-ejk6aei7e8
o2$o!

p10
x = 1, y = 3, rule = B2ain3aejkn4acentw5ain6-ci78/S01e2-ae3-air4aciktwz5-jkr6a7c8
o2$o!

p11
x = 3, y = 1, rule = B2-ce3ekn4ntwy5-cek6cei7e8/S01e2in3-q4-cinw5-eqry6aik7e
obo!

p12
x = 1, y = 3, rule = B2ain3cejkq4cknry5aceir6ckn8/S01e2cei3-ikq4eijnrt5ijny6ak78
o2$o!

p13
x = 1, y = 3, rule = B2-ck3-aikr4aknrwyz5aeinq6-a7e8/S01e2-a3-ir4cikntwz5-acen78
o2$o!

p14
x = 3, y = 1, rule = B2ai3ae4intyz5-ajr6eik7e/S01e2-ak3aekqr4-cekwz5aikqr6aek7e
obo!

p15
x = 3, y = 1, rule = B2ain3-ainr4cjknrt5-enq6cek7/S01e2-an3ejnqy4-cjrwy5-ceny67e
obo!

p16
x = 3, y = 1, rule = B2ain3cky4-acjqt56ikn78/S01e2in3aeiq4ijny5aijn6i7
obo!

p17
x = 1, y = 3, rule = B2ai3ajkqy4ijkqrwz5-q6cek7c/S01e2ci3-cir4inqrz5acekn6cei8
o2$o!

p18
x = 1, y = 3, rule = B2-cn3ejkqy4cjkntyz5-eqr6-ik7e8/S01e2-a3-cikr4acinrt5-ajr6e7e8
o2$o!

p19
x = 3, y = 1, rule = B2ain3-einr4-acewy56-i78/S01e2cin3-aij4-cejtw5-cjkq6ein7c
obo!

p20
x = 1, y = 3, rule = B2ain3-aiy4jnqyz5-cjy6ack78/S01e2-ak3-iny4-cz5-eiq6-i7e
o2$o!

p22
x = 1, y = 3, rule = B2ain3cejqy4cinrwz5-aqy6ein78/S01e2in3-cjny4ijwyz5eknqy6-ac7e8
o2$o!

p23
x = 1, y = 3, rule = B2ai3cejnq4-aeijy5cikqr6n7c8/S01e2cei3ceq4ceinqrz5ary6ce7
o2$o!

p24
x = 1, y = 3, rule = B2-ce3-ainr4jknqry5-eiy6ace7c8/S01e2-ak3ace4ckqr5-ck6ci7e8
o2$o!

p25
x = 1, y = 3, rule = B2ai3ceknq4-cejnz5-enqy6ack/S01e2ikn3-cjy4-cknqr5cenq6-n7e8
o2$o!

p26
x = 1, y = 3, rule = B2-ek3ejkry4-acjkr5ace6k7e8/S1e2-k3acjnq4eiktyz5aijky6-ci7e
o2$o!


That does everything up to p26, minimally if we don't allow B0. I'm stuck on p27 though, best I can do is population 3:
x = 3, y = 4, rule = B2ikn3akqry4-ajw5knr6akn7c/S012-k3ik4ciknqtz5ijky6-ai7
o$o2$2bo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby Rhombic » January 27th, 2018, 9:10 am

2-cell p6
x = 3, y = 1, rule = B2ai4i6i7e/S01e3ery4r6i8
obo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » January 27th, 2018, 1:17 pm

p27
x = 3, y = 1, rule = B2-ce3-ijr4-aejrw5ijqry6ein7c/S01e2cik3-ceiy4-ciy5-jkr6ein7e
obo!

p28
x = 3, y = 1, rule = B2ain3cejny4-aceiw5-ejkr6-ci7c/S01e2-a3aejqr4-nr5-eky6-ae7
obo!

p29
x = 3, y = 1, rule = B2ai3jknqr4aeinqwz5-aejn6aik7e/S01e2n3-iknq4ajrty5aeijn6ak
obo!

p30
x = 1, y = 3, rule = B2ai3acjkq4-ceqwy5-qr6ek7e8/S01e2-ae3-ainr4aijnrtz5-jky6-ce
o2$o!


EDIT:
p31, 3 cells:
x = 3, y = 5, rule = B2-ac3-cein4aejntw5akr6e78/S012ce3-ceik4eijnqz5iknry6ak7c8
o2$2bo2$o!

p32, 2 cells:
x = 3, y = 1, rule = B2ain3cjnq4-acenz5-ery6-ck7c8/S01e2cik3-iqr4jknyz5-kr67e
obo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » January 27th, 2018, 2:22 pm

Just skipping the hard ones now. All 2 cells:

p34
x = 1, y = 3, rule = B2ain3cejkq4-aijtz5-jny6-ai7e/S01e2-ak3-ijqr4aeijnqz5cijry6-ac7e
o2$o!

p36
x = 1, y = 3, rule = B2ain3-eiry4ijknrtz5-ay6aek/S01e2-a3-aijn4-acewy5ejqr678
o2$o!

p38
x = 1, y = 3, rule = B2ain3-einr4-aent5-kqry6-ci7c/S01e2-a3-iknr4inqt5ceq6-e78
o2$o!

p40
x = 1, y = 3, rule = B2ain3acjkq4-acewz5aeiny6ck7e/S01e2-ak3cejqy4ijqtwz5aenr6ci8
o2$o!

p42
x = 3, y = 1, rule = B2ain3acjkq4-aey5-y6k7c/S01e2-an3-in4ijnqtwz5-ciny6-ek7e8
obo!


I guess even periods are easier because they can just rotate 90 degrees after half the period.

EDIT: Now that I've exhausted the brute-force approach, I stopped to figure a few things out. If you want a 2-cell high-period oscillator the two cells have to be one cell apart orthogonally. Then you have to have B2i, S0, B2a, S1e. You can't have B0, B1c, B1e, B2c, B3i.

EDIT2: This lets me fill in some missing periods:

p31
x = 3, y = 1, rule = B2ai3-eikr4ijnqwy5acenq6-e7/S01e2ce3cekr4-aknz5-aijk6ce7e
obo!

p33
x = 3, y = 1, rule = B2ain3cenqr4-aejqt5-cijr6-ce8/S01e2en3-ceij4aijknr5aekqy6-e7c8
obo!

p35
x = 3, y = 1, rule = B2ai3acqr4-crt5anqr6-n7c/S01e2k3-cein4-cknq5acej6-ak7e8
obo!

p37
x = 3, y = 1, rule = B2ain3-eir4inqr5-cen6-cn/S01e2-a3ck4eijnyz5-cnqr6aei78
obo!

p41
x = 3, y = 1, rule = B2-ck3aky4-ejrw5ceir6-cn7/S01e2en3eikry4cekrz5-k6ack7c
obo!

p44
x = 3, y = 1, rule = B2ai3-einr4iknqty5aikry6ik7/S01e3cejry4-ejkqr5inry6a7c
obo!

p46
x = 3, y = 1, rule = B2ai3cekry4aejknrz5aejqy6-en7e/S01e2-a3-inqy4-ijntw5-ijn6-in8
obo!

p48
x = 3, y = 1, rule = B2ain3-eiy4aqrwyz5-cij6cen7e8/S01e2in3-eknq4ijnryz5aceqr6-ce
obo!

p50
x = 3, y = 1, rule = B2ain3-aijr4cijkw5anqry6-kn7c8/S012ekn3-ejny4aiz5ceqy6-n8
obo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby 77topaz » January 28th, 2018, 12:32 am

Gamedziner wrote:
77topaz wrote:
Period 4, 2 cells
x = 3, y = 1, rule = B2-i/S1
obo!




That's p2.


It was a typo (supposed to be B2-a/S1). I've edited the post and fixed it now.
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Re: Smallest Oscillators Supporting Specific Periods

Postby wildmyron » January 28th, 2018, 12:50 am

p54
x = 3, y = 1, rule = B2ain3ry4iy5jn6in/S01e3-cjky4ijktwy5-ciy6k8
obo!


Edit:
p62
x = 3, y = 1, rule = B2ai3eqr4cejnw5cenry6aen/S01e2ei3-anqy4aijnq5ciqr6ce8
obo!


2-cell oscillators are a bit too sparse for random rule search, but 3-cell ones can be found fairly readily (for even periods in any case). I'm compiling a collection of them now - how would you like them posted?

btw, there are also a few high period 3-cell oscillators in this thread
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Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » January 28th, 2018, 3:17 am

p100
x = 3, y = 1, rule = B2ain3-eijy4aeinqy5ceq6-ak7c/S01e2i3cijkn4-anq5any6-ak7
obo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby 77topaz » January 28th, 2018, 3:49 am

Macbi wrote:p100
RLE


Hm, I wasn't expecting there to be one smaller than the four-cell one I posted in the first post. Granted, the four-cell one would still be the smallest p100 in a non-explosive rule.
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Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » January 28th, 2018, 6:12 am

77topaz wrote:Granted, the four-cell one would still be the smallest p100 in a non-explosive rule.

I feel bad about interpreting this as a challenge, but I'm still trying to find out what LLS is capable of.
x = 3, y = 4, rule = B2c3ajq4ejnr5cjr6n/S01c2ci3cijny4aeknrtz5aijr6ace
obo3$o!
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Re: Smallest Oscillators Supporting Specific Periods

Postby Majestas32 » February 3rd, 2018, 1:47 pm

p88, 6 cells:
x = 7, y = 11, rule = B2-a3c/S12-i
o$o6$6bo$3bo2bo2$4bo!


p136, 8 cells:
x = 11, y = 3, rule = B2-a4jnr/S12-i
b2o$o7b3o$b2o!


p170, 8 cells:
x = 25, y = 3, rule = b2i3-ck4e6/s2-i35n
o23bo$2o21b2o$o23bo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby googleplex » February 7th, 2018, 4:26 pm

p4, smaller bounding box:
x = 2, y = 3, rule = B2-a3/S0
o2$bo!
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Re: Smallest Oscillators Supporting Specific Periods

Postby wildmyron » February 15th, 2018, 6:22 am

Here is a my collection of odd period 3 cell oscillators. Unfortunately I missed p39 due to a logic error when running the search script.

p43, 3 cells
x = 5, y = 1, rule = B2ci3aek4acnq5an6c/S01e3jny4ce5e6i
obobo!

p45, 3 cells
x = 5, y = 1, rule = B2-an3-iknr4ainryz5-cknq6ak/S02i3jn4nz
obobo!

p47, 3 cells
x = 5, y = 1, rule = B2cin3ar4aikntwz5y6a7e/S1e2n3cny4centw5anq6i
obobo!

p51, 3 cells
x = 5, y = 1, rule = B2-a3aky4ciqwy5y/S1e2cei3j4ek5i6a8
obobo!

p53, 3 cells
x = 5, y = 1, rule = B2cik3aj4cikt5an6ci/S12i3qy4cei5aein7e
obobo!

p55, 3 cells
x = 5, y = 1, rule = B2ci3ay4jr5ein6a7e/S01c3er4cnr5cy
obobo!

p57, 3 cells
x = 5, y = 1, rule = B2cin3aqry4q5jkr6c7e/S01c2-ac3ejkqr4eijknz5eikny6i
obobo!

p61, 3 cells
x = 5, y = 1, rule = B2cek3c4cijkrw5aciy6e8/S01c2in3kqy4ceky5n6ci
obobo!

p63, 3 cells
x = 5, y = 1, rule = B2eik3cin4ainr5cy6ck/S01c2cn3ein4cer5iy7e
obobo!

p65, 3 cells
x = 3, y = 3, rule = B2ikn3acijy4aceikt5ackr6ak/S012n3ciny4ekqrty5-acnr6ce
obo2$o!

p67, 3 cells
x = 5, y = 1, rule = B2cen3akqy4eirty5ainy8/S01c2i3a4kt
obobo!

p69, 3 cells
x = 5, y = 1, rule = B2-ak3eikqr4eintwy5inq6c/S1e2en4eikwz5e6kn
obobo!

p73, 3 cells
x = 2, y = 3, rule = B2ce3cry4cejkwy6e7c8/S123acnq4kqr5inqy
o$bo$o!

p87, 3 cells
x = 5, y = 1, rule = B2ce3ekqy4iq5aeijk6ai7c8/S01c2aek3anry4aekqrty5j67e
obobo!

p89, 3 cells
x = 5, y = 1, rule = B2-an3eijq4cjkqrz5ej6c7c/S1e2-ac3aery4einry5aj6ak7e
obobo!

p119, 3 cells
x = 5, y = 1, rule = B2-ak3ikq4eikqw5ejn6eik/S1e2n3i4n5cry6i
obobo!

p139, 3 cells
x = 5, y = 1, rule = B2cin3acijn4cin6ci/S01e3iqy4ikny5n
obobo!

p165, 3 cells
x = 5, y = 1, rule = B2cen3y4einqrty5-kqr6ace7e/S012-ae3acer4acejkry5-cikq67e8
obobo!

p189, 3 cells
x = 5, y = 1, rule = B2in3aeij4eikq5ejknq6aek7e/S01e2ein3aejk4-aijn5ijq6ei7c8
obobo!

p263, 3 cells
x = 5, y = 1, rule = B2cen3aey4aejt5cny6e7c/S01c2ikn3jry4-aknw5acn6eik78
obobo!
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Joined: August 9th, 2013, 12:45 am

Re: Smallest Oscillators Supporting Specific Periods

Postby googleplex » February 15th, 2018, 8:24 am

p2, 1 cell:
x=1, y=1, rule=b02/s
o!
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!
googleplex
 
Posts: 204
Joined: January 24th, 2018, 4:36 pm

Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » February 15th, 2018, 8:43 am

wildmyron wrote:Here is a my collection of odd period 3 cell oscillators. Unfortunately I missed p39 due to a logic error when running the search script.
x = 5, y = 1, rule = B2cik3-eir4cijrt5-ejkq6-cn7c8/S1e2-an3eijqy4ajqw5-cein6ein7c8
obobo!


p52, 2 cells:
x = 1, y = 3, rule = B2ai3knq4-cekrt5-ijkr67c/S012cen3-ijnq4ajntyz5ikqr6-c7
o2$o!

p56, 2 cells:
x = 3, y = 1, rule = B2ain3anq4inqtw5-ckq6-n78/S012kn3eqr4acijknz5ejk6i8
obo!

p58, 2 cells:
x = 1, y = 3, rule = B2ain3acejn4ijnqwyz5ijkr6-ak7e8/S01e2ei3anr4aiqyz5-cer6kn7
o2$o!

I believe that makes p59 our first gap.
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Macbi
 
Posts: 618
Joined: March 29th, 2009, 4:58 am

Re: Smallest Oscillators Supporting Specific Periods

Postby Macbi » February 15th, 2018, 3:28 pm

2 cells:

p39
x = 3, y = 1, rule = B2aei3ackq4aeintwy5-ajqy6-in7e8/S01e2eik3cky4ajtw5-jk6ak7e
obo!

p43
x = 3, y = 1, rule = B2-ck3ceq4cikwz5-k6ak8/S01e2ein3ejkny4-jqtw5-eijr6ci7e
obo!

p45
x = 3, y = 1, rule = B2ai3-in4aknrt5cny6ci8/S01e2-ac3aekn4ciknt5-akqr6cek7e8
obo!

EDIT: p47 (3 hours in LLS)
x = 3, y = 1, rule = B2ain3-aij4ijknqty5cjk6-in/S01e2ik3-cry4-actw56ei8
obo!
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Macbi
 
Posts: 618
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Re: Smallest Oscillators Supporting Specific Periods

Postby wildmyron » February 16th, 2018, 1:39 am

Here is my collection of even period 3 cell oscillators. It includes almost all even periods from p60 through to p128 (only missing p114) and a fair number of higher periods. I've left out periods for which a 2 or 3 cell oscillator has already been posted (although I may have missed some redundant ones).

p60, 3 cells
x = 2, y = 3, rule = B2cei3inq4jt5i6ci/S012ein3qry4q5an6i
o$bo$o!

p64, 3 cells
x = 4, y = 2, rule = B2eik3-kqy4jnw5y6c/S02ak3aj4i5i
o2bo$bo!

p66, 3 cells
x = 3, y = 3, rule = B2en3ceijr4kqrwy5ikq6n7c/S012i3ij4ci5ery6n
obo2$o!

p68, 3 cells
x = 2, y = 3, rule = B2ce3nqry4aer5eijy6c7e/S12k3eqr4iqyz5aiy6i7e
o$bo$o!

p70, 3 cells
x = 5, y = 1, rule = B2cen3cijkr4aeikz5ijq6aci7e8/S01c2-ck3ekqy4ckw5-aikq6ci
obobo!

p72, 3 cells
x = 4, y = 3, rule = B2cen3ajn4aeijknt5ay6a7c/S023ry4it5aiy6a7e
o2bo2$bo!

p74, 3 cells
x = 5, y = 1, rule = B2-an3ay4jkrz5jkq6i7e8/S02ae3nqy4aceiqrt5aen6aci7c8
obobo!

p76, 3 cells
x = 5, y = 1, rule = B2-ae3-cikn4aceknty5cy6ck7e/S13n4w5cj6ci8
obobo!

p78, 3 cells
x = 5, y = 1, rule = B2cik3a4ac5ai6c8/S02in3jn4ai5enqy7e
obobo!

p80, 3 cells
x = 4, y = 2, rule = B2-an4eit6k/S1e2aek3ry
o2bo$bo!

p82, 3 cells
x = 4, y = 1, rule = B2cek3ckny4eiqt5-ikry8/S02en3iqry4inr5cy6c
2obo!

p84, 3 cells
x = 2, y = 3, rule = B2-ae3aejr5jq7c/S01e2-ck3cei4artw5cein6k7c
2o2$bo!

p86, 3 cells
x = 5, y = 1, rule = B2ci3ajkn4cejnrt5knq6ik/S02i3inqr4ceik5c6ci
obobo!

p88, 3 cells
x = 5, y = 1, rule = B2ce3cekr4ckt5ny6i8/S02aen3aciky4jknry5i6i
obobo!

p90, 3 cells
x = 5, y = 1, rule = B2cn3ainqy4eijkt5ny/S02-ac3jry4cejnt5e6ci8
obobo!

p92, 3 cells
x = 5, y = 1, rule = B2cei3ijk4ce5i6ai/S1e2ai3jny4e5ey
obobo!

p94, 3 cells
x = 2, y = 3, rule = B2cek3iy4iq5aci/S01c4a5k6c
o$bo$o!

p96, 3 cells
x = 4, y = 2, rule = B2-ac3aeijn4n5a/S03ijk4qwz
o2bo$bo!

p98, 3 cells
x = 3, y = 3, rule = B2-ac3acik4cenqt5ijnqy6e7c8/S02ack3ceky4-iknyz5aejq6c7e
obo2$o!

p102, 3 cells
x = 2, y = 3, rule = B2cen3-cikn4acijr5cinr6ck/S1e3ai5i
o$bo$o!

p104, 3 cells
x = 5, y = 1, rule = B2cin3ajnr4ijqt5ejnry6a8/S02a3-jnry4inrty5eny6ek
obobo!

p106, 3 cells
x = 3, y = 3, rule = B2-ae3-knqy4ijky5aejnq/S02ei3aein4cijqrw5ai
o$2bo$o!

p110, 3 cells
x = 5, y = 1, rule = B2cik3aciky4-ejqz5aq6c/S1e2an3cy4acn5r6k
obobo!

p112, 3 cells
x = 2, y = 3, rule = B2-ak3jqy4wy5acer6i/S01c2en3-cq4jqrtwy5ky
o$bo$o!

p116, 3 cells
x = 3, y = 3, rule = B2-ae3aejy4knqrz5cek6aik8/S01c2cn3jq4qwy5kn6c
obo2$o!

p118, 3 cells
x = 3, y = 3, rule = B2ein3cijkr4jknrtyz5-ceir6-ai7c8/S01c2acn3cejy4-cijny5ay6-ce7
obo2$o!

p120, 3 cells
x = 5, y = 2, rule = B2cin3-jknq4ekrtwy5ainr6ik7e8/S02cen3-aknq4acrw5iqry6e
obo$4bo!

p122, 3 cells
x = 4, y = 2, rule = B2-ae3acnr4nqr5-ceky6ckn7/S1c2aei3q4ajkqr5-qry6-a
o2bo$bo!

p124, 3 cells
x = 5, y = 1, rule = B2-a3ijy4ekyz5ac6an7c8/S1e2in3ceqr4acejqw5acr6ack7e8
obobo!

p126, 3 cells
x = 5, y = 1, rule = B2-a3aeqry4kqt5-acir6eik78/S02eik3eijnr4-eikqt5ir6aek8
obobo!

p128, 3 cells
x = 4, y = 2, rule = B2eik3ijqr4knqrtz5ijkn6-ci7e/S02aei3cijqy4aknq5c6e
o2bo$bo!

p136, 3 cells
x = 2, y = 3, rule = B2-ak3ac4ejkr5airy6ce7c/S12ain3knq4nqr5cijr6i7e
o$bo$o!

p138, 3 cells
x = 5, y = 1, rule = B2-ai4ijnw5aceq6ek/S01c2in3inqr4-erwy5eikqy6c7
obobo!

p140, 3 cells
x = 5, y = 1, rule = B2-ai3cjky4iknrtwz5-nry6ci8/S02kn3iqy4-ijnt6k8
obobo!

p142, 3 cells
x = 3, y = 3, rule = B2cen3aqr4arw5ijknr6cn7c/S01c2ae3-aeiy4cejnqz5ckry6acn
obo2$o!

p144, 3 cells
x = 4, y = 2, rule = B2-an3ajky4ainqt5-aeny6ck/S02ck3ekry4aijkrz5inr6ak7e
o2bo$bo!

p146, 3 cells
x = 5, y = 1, rule = B2-ak3cejry4aknwyz5cejkq6e7e8/S12n3jk4ijrz5jr6ei7e8
obobo!

p148, 3 cells
x = 2, y = 3, rule = B2-ak3inqy4acjqrtz5aekry6k7c/S01c3kq5y7e
o$bo$o!

p150, 3 cells
x = 5, y = 1, rule = B2-ak3cijr4aektz5ci6-in7/S1e2eik3ckq4w5acy6n8
obobo!

p152, 3 cells
x = 5, y = 1, rule = B2cik3aekn4jqtz5aen6n7/S02-ce3-in4jkty5-anr6cei
obobo!

p156, 3 cells
x = 3, y = 3, rule = B2-ae3aejqy4cjwz5-akn6akn7/S02ai3cekry4acjktwy5ceiq6aek78
obo2$o!

p158, 3 cells
x = 2, y = 3, rule = B2-ak3-ckqr4eiknqt5cny6ce7e/S1c2i3e4ej5y6a
o$bo$o!

p160, 3 cells
x = 5, y = 1, rule = B2cik3-cnqy4-aejqz5acij6ce/S02n4-qrwyz5qy6-in7c
obobo!

p162, 3 cells
x = 2, y = 3, rule = B2-ai3nr4jkt5jry/S12ace3cknr4qz5eijry6i
o$bo$o!

p164, 3 cells
x = 5, y = 1, rule = B2cek3ajkr4ikrwyz5eq6-an8/S02k3kr4eiknw5n6ci8
obobo!

p168, 3 cells
x = 3, y = 3, rule = B2-ai3enqy4aiqt5iknr6cek7/S02-cn3enqr4iqz5cqr7
obo2$o!

p170, 3 cells
x = 5, y = 1, rule = B2-ak3-acny4arz5-cijn6-cn7/S1e2ik3jnqry4ceijkt5ay6-ai7e
obobo!

p180, 3 cells
x = 5, y = 2, rule = B2cek3ciky4anqr5cknr7c/S01c2ckn3eiry4ajryz5ekry6ae
obo$4bo!

p182, 3 cells
x = 5, y = 1, rule = B2cin3-jr4knry5-cjry6aei/S02ai3ijkqy4acjnr5einr6ik
obobo!

p188, 3 cells
x = 2, y = 3, rule = B2cei3ir4cekwy5aeq6a/S12k3ij4ejy5ciry6ei
o$bo$o!

p190, 3 cells
x = 2, y = 3, rule = B2cei3ciq4ajnqz5ejk6ck7e/S01c2-ek3q4rwy5aek6c
o$bo$o!

p214, 3 cells
x = 5, y = 1, rule = B2cik3ajqy4cjkqrwz5aceq6ak7c/S12ck3aijqr4cqwyz5-cqry6-c7c
obobo!

p216, 3 cells
x = 5, y = 1, rule = B2ci3aeinq4ejqrtz5-ijy6aci/S02en3ceinr4ajny5aeiny78
obobo!

p224, 3 cells
x = 5, y = 2, rule = B2-ae3aejr4ajkntyz5kq6a7e8/S01c2i3jqr4acijrwz5ceikn6ik7c
obo$4bo!

p232, 3 cells
x = 5, y = 1, rule = B2cin3-cknr4aejqyz6eik/S01e2a3ijnr4jqr5r6c8
obobo!

p234, 3 cells
x = 5, y = 1, rule = B2-ai3ry4-ajkwz5-aekq6a/S01e3ar4aciwy5cejn6i7c8
obobo!

p274, 3 cells
x = 5, y = 1, rule = B2cik3-ejn4-rty5-aejk6-ck8/S1e2n3kn4aw5cny
obobo!

p304, 3 cells
x = 2, y = 3, rule = B2cek3ekny4aejnwz5-cjqr6k7c8/S12-ac3iqy4z5ein6ce7e
2o2$bo!

p314, 3 cells
x = 5, y = 1, rule = B2ikn3-jqry4ceitwz5-cej6ikn78/S01e2en3ain4et5eijky6kn7e
obobo!

p344, 3 cells
x = 5, y = 1, rule = B2eik3ij4ciqtyz5iy6e7e/S01c2ckn3-ikqr4enz5acikr6ci8
obobo!

p358, 3 cells
x = 5, y = 1, rule = B2cin3-ejry4einrwz5ijk6aci7c/S1e2k3ik4cikryz5i6ci
obobo!

p368, 3 cells
x = 2, y = 3, rule = B2ce3iny4aeinqw5acr6-ci7c/S12e3knr4acjrt5ai6e
2o2$bo!

p376, 3 cells
x = 5, y = 1, rule = B2-a3aqry4ejnry5ceinr6-kn7/S01c2cin3aijky4ajnqz5cknqr6-en7
obobo!
wildmyron
 
Posts: 1031
Joined: August 9th, 2013, 12:45 am

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