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Smallest Oscillators Supporting Specific Periods

For discussion of other cellular automata.

Smallest Oscillators Supporting Specific Periods

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/So\$bo!`

Period 4, 2 cells
`x = 3, y = 1, rule = B2-a/S1obo!`

Period 6, 4 cells
`x = 7, y = 1, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6iobobobo!`

Period 14, 4 cells
`x = 4, y = 3, rule = B2-a/S122o\$3bo\$3bo!`

Period 16, 3 cells
`x = 7, y = 1, rule = B026/S1o2bo2bo!`

Period 18, 10 cells
`x = 13, y = 6, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7eb2o\$2bo\$o4bobo\$12bo\$10bo\$10b2o!`

Period 26, 6 cells
`x = 4, y = 3, rule=B36/S1252o\$b2o\$2b2o!`

Period 100, 4 cells
`x = 3, y = 2, rule = B2e3-a/S23b2o\$o\$bo!`

Period 106, 8 cells
`x = 4, y = 5, rule = B2e3aceij5-ijr/S23-a43o\$bo\$3bo\$2b2o\$3bo!`
Last edited by 77topaz on January 28th, 2018, 12:32 am, edited 1 time in total.

77topaz

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Re: Smallest Oscillators Supporting Specific Periods

p11, 12 cells:
`x = 11, y = 3, rule = B367/S2-i35ek6ekb2o5b2o\$obo5bobo\$b2o5b2o!`

p17, 18 cells:
`x = 9, y = 5, rule = B367/S2-i35ek6ekb2obob2o\$2o5b2o2\$2o5b2o\$b2obob2o!`

p20, 8 cells:
`x = 10, y = 7, rule = B2-a/S12-i3ij7bo\$2o7bo2\$6bobo2\$9bo\$7bo!`

p24, 4 cells:
`x = 4, y = 3, rule = B3-en4t6-c/S123i4i52o\$3bo\$3bo!`

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

p34, 4 cells:
`x = 2, y = 4, rule = B2-a/S12-i3ij2o2\$o\$bo!`

p49, 8 cells:
`x = 17, y = 5, rule = B2-a/S12-i3ij3bo\$o3bo\$3bo9bo\$12bo3bo\$13bo!`

p92, 9 cells:
`x = 7, y = 10, rule = B2-a/S12-i4bo\$3bobo2\$2bo3bo2\$4bo2\$2o2\$o!`

p108, 3 cells:
`x = 2, y = 3, rule = B2-a/S12-i3ibo\$o\$bo!`

p119, 14 cells:
`x = 3, y = 8, rule = B36/S2-i36-acbo\$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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Majestas32

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Re: Smallest Oscillators Supporting Specific Periods

3-cell p3:
`x = 3, y = 3, rule = B3jy/S012cobo2\$bo!`

3-cell p5:
`x = 3, y = 3, rule = B2e3jy7e/S012-in3r4i5iobo2\$bo!`

3-cell p6:
`x = 3, y = 3, rule = B3ajy5y7e/S012-in3ijr4i5iobo2\$bo!`

LLS might be able to do better.
All even periods take at most 13:
`x = 12, y = 32, rule = B2a3ry/S1c2c3y2bobo\$3bo5bo\$8bo\$2bobo\$4bo\$bo\$o5bo\$5bobo5\$3bobo\$4bo5bo\$9bo\$2bobo\$4bo\$bo\$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

Period 15, 8 cells:
`x = 5, y = 5, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i3o\$bo2\$3bo\$2b3o!`

Period 28, 14 cells:
`x = 11, y = 3, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i2bobobobo\$obobobobobo\$2bobobobo!`

Period 42, 10 cells:
`x = 11, y = 7, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i5bo\$obobobobobo\$5bo2\$5bo2\$5bo!`
Last edited by 77topaz on January 26th, 2018, 11:38 pm, edited 3 times in total.

77topaz

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Re: Smallest Oscillators Supporting Specific Periods

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

There's a 1 cell p1, p2, p4, p6, and p10.
Please, stop spam searching Snowflakes.

Majestas32

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Re: Smallest Oscillators Supporting Specific Periods

77topaz wrote:Period 15, 8 cells:
`x = 5, y = 5, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i3o\$bo2\$3bo\$2b30!`

This is a 5 cell spark.
Please, stop spam searching Snowflakes.

Majestas32

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Re: Smallest Oscillators Supporting Specific Periods

Majestas32 wrote:
77topaz wrote:Period 15, 8 cells:
`x = 5, y = 5, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i3o\$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?

77topaz

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Re: Smallest Oscillators Supporting Specific Periods

No but there's a 3 cell p17, p19, and p79 there, and 2 cell p5, p7, p8, and p21.
Please, stop spam searching Snowflakes.

Majestas32

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Re: Smallest Oscillators Supporting Specific Periods

77topaz wrote:
Period 4, 2 cells
`x = 3, y = 1, rule = B2-i/S1obo!`

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 = LifeHistory58.2A\$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!`
Gamedziner

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Re: Smallest Oscillators Supporting Specific Periods

All 2 cell populations:

p3
`x = 3, y = 3, rule = B2ein3ekq4567/S012cn34-a5-i6-n72bo2\$o!`

p8
`x = 3, y = 3, rule = B2en3cejq4cjkt5jkny6i8/S01c2in3-knr4acknqry5qry6aik2bo2\$o!`

p9
`x = 1, y = 3, rule = B2ain3-eijr4ijkry5-jkq6aik8/S01e2ein3-y4cjkty5-ejk6aei7e8o2\$o!`

p10
`x = 1, y = 3, rule = B2ain3aejkn4acentw5ain6-ci78/S01e2-ae3-air4aciktwz5-jkr6a7c8o2\$o!`

p11
`x = 3, y = 1, rule = B2-ce3ekn4ntwy5-cek6cei7e8/S01e2in3-q4-cinw5-eqry6aik7eobo!`

p12
`x = 1, y = 3, rule = B2ain3cejkq4cknry5aceir6ckn8/S01e2cei3-ikq4eijnrt5ijny6ak78o2\$o!`

p13
`x = 1, y = 3, rule = B2-ck3-aikr4aknrwyz5aeinq6-a7e8/S01e2-a3-ir4cikntwz5-acen78o2\$o!`

p14
`x = 3, y = 1, rule = B2ai3ae4intyz5-ajr6eik7e/S01e2-ak3aekqr4-cekwz5aikqr6aek7eobo!`

p15
`x = 3, y = 1, rule = B2ain3-ainr4cjknrt5-enq6cek7/S01e2-an3ejnqy4-cjrwy5-ceny67eobo!`

p16
`x = 3, y = 1, rule = B2ain3cky4-acjqt56ikn78/S01e2in3aeiq4ijny5aijn6i7obo!`

p17
`x = 1, y = 3, rule = B2ai3ajkqy4ijkqrwz5-q6cek7c/S01e2ci3-cir4inqrz5acekn6cei8o2\$o!`

p18
`x = 1, y = 3, rule = B2-cn3ejkqy4cjkntyz5-eqr6-ik7e8/S01e2-a3-cikr4acinrt5-ajr6e7e8o2\$o!`

p19
`x = 3, y = 1, rule = B2ain3-einr4-acewy56-i78/S01e2cin3-aij4-cejtw5-cjkq6ein7cobo!`

p20
`x = 1, y = 3, rule = B2ain3-aiy4jnqyz5-cjy6ack78/S01e2-ak3-iny4-cz5-eiq6-i7eo2\$o!`

p22
`x = 1, y = 3, rule = B2ain3cejqy4cinrwz5-aqy6ein78/S01e2in3-cjny4ijwyz5eknqy6-ac7e8o2\$o!`

p23
`x = 1, y = 3, rule = B2ai3cejnq4-aeijy5cikqr6n7c8/S01e2cei3ceq4ceinqrz5ary6ce7o2\$o!`

p24
`x = 1, y = 3, rule = B2-ce3-ainr4jknqry5-eiy6ace7c8/S01e2-ak3ace4ckqr5-ck6ci7e8o2\$o!`

p25
`x = 1, y = 3, rule = B2ai3ceknq4-cejnz5-enqy6ack/S01e2ikn3-cjy4-cknqr5cenq6-n7e8o2\$o!`

p26
`x = 1, y = 3, rule = B2-ek3ejkry4-acjkr5ace6k7e8/S1e2-k3acjnq4eiktyz5aijky6-ci7eo2\$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-ai7o\$o2\$2bo!`

Macbi

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Re: Smallest Oscillators Supporting Specific Periods

2-cell p6
`x = 3, y = 1, rule = B2ai4i6i7e/S01e3ery4r6i8obo!`
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Rhombic

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Re: Smallest Oscillators Supporting Specific Periods

p27
`x = 3, y = 1, rule = B2-ce3-ijr4-aejrw5ijqry6ein7c/S01e2cik3-ceiy4-ciy5-jkr6ein7eobo!`

p28
`x = 3, y = 1, rule = B2ain3cejny4-aceiw5-ejkr6-ci7c/S01e2-a3aejqr4-nr5-eky6-ae7obo!`

p29
`x = 3, y = 1, rule = B2ai3jknqr4aeinqwz5-aejn6aik7e/S01e2n3-iknq4ajrty5aeijn6akobo!`

p30
`x = 1, y = 3, rule = B2ai3acjkq4-ceqwy5-qr6ek7e8/S01e2-ae3-ainr4aijnrtz5-jky6-ceo2\$o!`

EDIT:
p31, 3 cells:
`x = 3, y = 5, rule = B2-ac3-cein4aejntw5akr6e78/S012ce3-ceik4eijnqz5iknry6ak7c8o2\$2bo2\$o!`

p32, 2 cells:
`x = 3, y = 1, rule = B2ain3cjnq4-acenz5-ery6-ck7c8/S01e2cik3-iqr4jknyz5-kr67eobo!`

Macbi

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Re: Smallest Oscillators Supporting Specific Periods

Just skipping the hard ones now. All 2 cells:

p34
`x = 1, y = 3, rule = B2ain3cejkq4-aijtz5-jny6-ai7e/S01e2-ak3-ijqr4aeijnqz5cijry6-ac7eo2\$o!`

p36
`x = 1, y = 3, rule = B2ain3-eiry4ijknrtz5-ay6aek/S01e2-a3-aijn4-acewy5ejqr678o2\$o!`

p38
`x = 1, y = 3, rule = B2ain3-einr4-aent5-kqry6-ci7c/S01e2-a3-iknr4inqt5ceq6-e78o2\$o!`

p40
`x = 1, y = 3, rule = B2ain3acjkq4-acewz5aeiny6ck7e/S01e2-ak3cejqy4ijqtwz5aenr6ci8o2\$o!`

p42
`x = 3, y = 1, rule = B2ain3acjkq4-aey5-y6k7c/S01e2-an3-in4ijnqtwz5-ciny6-ek7e8obo!`

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-aijk6ce7eobo!`

p33
`x = 3, y = 1, rule = B2ain3cenqr4-aejqt5-cijr6-ce8/S01e2en3-ceij4aijknr5aekqy6-e7c8obo!`

p35
`x = 3, y = 1, rule = B2ai3acqr4-crt5anqr6-n7c/S01e2k3-cein4-cknq5acej6-ak7e8obo!`

p37
`x = 3, y = 1, rule = B2ain3-eir4inqr5-cen6-cn/S01e2-a3ck4eijnyz5-cnqr6aei78obo!`

p41
`x = 3, y = 1, rule = B2-ck3aky4-ejrw5ceir6-cn7/S01e2en3eikry4cekrz5-k6ack7cobo!`

p44
`x = 3, y = 1, rule = B2ai3-einr4iknqty5aikry6ik7/S01e3cejry4-ejkqr5inry6a7cobo!`

p46
`x = 3, y = 1, rule = B2ai3cekry4aejknrz5aejqy6-en7e/S01e2-a3-inqy4-ijntw5-ijn6-in8obo!`

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

p50
`x = 3, y = 1, rule = B2ain3-aijr4cijkw5anqry6-kn7c8/S012ekn3-ejny4aiz5ceqy6-n8obo!`

Macbi

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Re: Smallest Oscillators Supporting Specific Periods

Gamedziner wrote:
77topaz wrote:
Period 4, 2 cells
`x = 3, y = 1, rule = B2-i/S1obo!`

That's p2.

It was a typo (supposed to be B2-a/S1). I've edited the post and fixed it now.

77topaz

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Re: Smallest Oscillators Supporting Specific Periods

p54
`x = 3, y = 1, rule = B2ain3ry4iy5jn6in/S01e3-cjky4ijktwy5-ciy6k8obo!`

Edit:
p62
`x = 3, y = 1, rule = B2ai3eqr4cejnw5cenry6aen/S01e2ei3-anqy4aijnq5ciqr6ce8obo!`

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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wildmyron

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Re: Smallest Oscillators Supporting Specific Periods

p100
`x = 3, y = 1, rule = B2ain3-eijy4aeinqy5ceq6-ak7c/S01e2i3cijkn4-anq5any6-ak7obo!`

Macbi

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Re: Smallest Oscillators Supporting Specific Periods

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.

77topaz

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Re: Smallest Oscillators Supporting Specific Periods

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/S01c2ci3cijny4aeknrtz5aijr6aceobo3\$o!`

Macbi

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Re: Smallest Oscillators Supporting Specific Periods

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

p136, 8 cells:
`x = 11, y = 3, rule = B2-a4jnr/S12-ib2o\$o7b3o\$b2o!`

p170, 8 cells:
`x = 25, y = 3, rule = b2i3-ck4e6/s2-i35no23bo\$2o21b2o\$o23bo!`
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Majestas32

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Re: Smallest Oscillators Supporting Specific Periods

p4, smaller bounding box:
`x = 2, y = 3, rule = B2-a3/S0o2\$bo!`

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Re: Smallest Oscillators Supporting Specific Periods

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/S01e3jny4ce5e6iobobo!`

p45, 3 cells
`x = 5, y = 1, rule = B2-an3-iknr4ainryz5-cknq6ak/S02i3jn4nzobobo!`

p47, 3 cells
`x = 5, y = 1, rule = B2cin3ar4aikntwz5y6a7e/S1e2n3cny4centw5anq6iobobo!`

p51, 3 cells
`x = 5, y = 1, rule = B2-a3aky4ciqwy5y/S1e2cei3j4ek5i6a8obobo!`

p53, 3 cells
`x = 5, y = 1, rule = B2cik3aj4cikt5an6ci/S12i3qy4cei5aein7eobobo!`

p55, 3 cells
`x = 5, y = 1, rule = B2ci3ay4jr5ein6a7e/S01c3er4cnr5cyobobo!`

p57, 3 cells
`x = 5, y = 1, rule = B2cin3aqry4q5jkr6c7e/S01c2-ac3ejkqr4eijknz5eikny6iobobo!`

p61, 3 cells
`x = 5, y = 1, rule = B2cek3c4cijkrw5aciy6e8/S01c2in3kqy4ceky5n6ciobobo!`

p63, 3 cells
`x = 5, y = 1, rule = B2eik3cin4ainr5cy6ck/S01c2cn3ein4cer5iy7eobobo!`

p65, 3 cells
`x = 3, y = 3, rule = B2ikn3acijy4aceikt5ackr6ak/S012n3ciny4ekqrty5-acnr6ceobo2\$o!`

p67, 3 cells
`x = 5, y = 1, rule = B2cen3akqy4eirty5ainy8/S01c2i3a4ktobobo!`

p69, 3 cells
`x = 5, y = 1, rule = B2-ak3eikqr4eintwy5inq6c/S1e2en4eikwz5e6knobobo!`

p73, 3 cells
`x = 2, y = 3, rule = B2ce3cry4cejkwy6e7c8/S123acnq4kqr5inqyo\$bo\$o!`

p87, 3 cells
`x = 5, y = 1, rule = B2ce3ekqy4iq5aeijk6ai7c8/S01c2aek3anry4aekqrty5j67eobobo!`

p89, 3 cells
`x = 5, y = 1, rule = B2-an3eijq4cjkqrz5ej6c7c/S1e2-ac3aery4einry5aj6ak7eobobo!`

p119, 3 cells
`x = 5, y = 1, rule = B2-ak3ikq4eikqw5ejn6eik/S1e2n3i4n5cry6iobobo!`

p139, 3 cells
`x = 5, y = 1, rule = B2cin3acijn4cin6ci/S01e3iqy4ikny5nobobo!`

p165, 3 cells
`x = 5, y = 1, rule = B2cen3y4einqrty5-kqr6ace7e/S012-ae3acer4acejkry5-cikq67e8obobo!`

p189, 3 cells
`x = 5, y = 1, rule = B2in3aeij4eikq5ejknq6aek7e/S01e2ein3aejk4-aijn5ijq6ei7c8obobo!`

p263, 3 cells
`x = 5, y = 1, rule = B2cen3aey4aejt5cny6e7c/S01c2ikn3jry4-aknw5acn6eik78obobo!`
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wildmyron

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Re: Smallest Oscillators Supporting Specific Periods

p2, 1 cell:
`x=1, y=1, rule=b02/so!`
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Re: Smallest Oscillators Supporting Specific Periods

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-cein6ein7c8obobo!`

p52, 2 cells:
`x = 1, y = 3, rule = B2ai3knq4-cekrt5-ijkr67c/S012cen3-ijnq4ajntyz5ikqr6-c7o2\$o!`

p56, 2 cells:
`x = 3, y = 1, rule = B2ain3anq4inqtw5-ckq6-n78/S012kn3eqr4acijknz5ejk6i8obo!`

p58, 2 cells:
`x = 1, y = 3, rule = B2ain3acejn4ijnqwyz5ijkr6-ak7e8/S01e2ei3anr4aiqyz5-cer6kn7o2\$o!`

I believe that makes p59 our first gap.

Macbi

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Re: Smallest Oscillators Supporting Specific Periods

2 cells:

p39
`x = 3, y = 1, rule = B2aei3ackq4aeintwy5-ajqy6-in7e8/S01e2eik3cky4ajtw5-jk6ak7eobo!`

p43
`x = 3, y = 1, rule = B2-ck3ceq4cikwz5-k6ak8/S01e2ein3ejkny4-jqtw5-eijr6ci7eobo!`

p45
`x = 3, y = 1, rule = B2ai3-in4aknrt5cny6ci8/S01e2-ac3aekn4ciknt5-akqr6cek7e8obo!`

EDIT: p47 (3 hours in LLS)
`x = 3, y = 1, rule = B2ain3-aij4ijknqty5cjk6-in/S01e2ik3-cry4-actw56ei8obo!`

Macbi

Posts: 665
Joined: March 29th, 2009, 4:58 am

Re: Smallest Oscillators Supporting Specific Periods

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/S012ein3qry4q5an6io\$bo\$o!`

p64, 3 cells
`x = 4, y = 2, rule = B2eik3-kqy4jnw5y6c/S02ak3aj4i5io2bo\$bo!`

p66, 3 cells
`x = 3, y = 3, rule = B2en3ceijr4kqrwy5ikq6n7c/S012i3ij4ci5ery6nobo2\$o!`

p68, 3 cells
`x = 2, y = 3, rule = B2ce3nqry4aer5eijy6c7e/S12k3eqr4iqyz5aiy6i7eo\$bo\$o!`

p70, 3 cells
`x = 5, y = 1, rule = B2cen3cijkr4aeikz5ijq6aci7e8/S01c2-ck3ekqy4ckw5-aikq6ciobobo!`

p72, 3 cells
`x = 4, y = 3, rule = B2cen3ajn4aeijknt5ay6a7c/S023ry4it5aiy6a7eo2bo2\$bo!`

p74, 3 cells
`x = 5, y = 1, rule = B2-an3ay4jkrz5jkq6i7e8/S02ae3nqy4aceiqrt5aen6aci7c8obobo!`

p76, 3 cells
`x = 5, y = 1, rule = B2-ae3-cikn4aceknty5cy6ck7e/S13n4w5cj6ci8obobo!`

p78, 3 cells
`x = 5, y = 1, rule = B2cik3a4ac5ai6c8/S02in3jn4ai5enqy7eobobo!`

p80, 3 cells
`x = 4, y = 2, rule = B2-an4eit6k/S1e2aek3ryo2bo\$bo!`

p82, 3 cells
`x = 4, y = 1, rule = B2cek3ckny4eiqt5-ikry8/S02en3iqry4inr5cy6c2obo!`

p84, 3 cells
`x = 2, y = 3, rule = B2-ae3aejr5jq7c/S01e2-ck3cei4artw5cein6k7c2o2\$bo!`

p86, 3 cells
`x = 5, y = 1, rule = B2ci3ajkn4cejnrt5knq6ik/S02i3inqr4ceik5c6ciobobo!`

p88, 3 cells
`x = 5, y = 1, rule = B2ce3cekr4ckt5ny6i8/S02aen3aciky4jknry5i6iobobo!`

p90, 3 cells
`x = 5, y = 1, rule = B2cn3ainqy4eijkt5ny/S02-ac3jry4cejnt5e6ci8obobo!`

p92, 3 cells
`x = 5, y = 1, rule = B2cei3ijk4ce5i6ai/S1e2ai3jny4e5eyobobo!`

p94, 3 cells
`x = 2, y = 3, rule = B2cek3iy4iq5aci/S01c4a5k6co\$bo\$o!`

p96, 3 cells
`x = 4, y = 2, rule = B2-ac3aeijn4n5a/S03ijk4qwzo2bo\$bo!`

p98, 3 cells
`x = 3, y = 3, rule = B2-ac3acik4cenqt5ijnqy6e7c8/S02ack3ceky4-iknyz5aejq6c7eobo2\$o!`

p102, 3 cells
`x = 2, y = 3, rule = B2cen3-cikn4acijr5cinr6ck/S1e3ai5io\$bo\$o!`

p104, 3 cells
`x = 5, y = 1, rule = B2cin3ajnr4ijqt5ejnry6a8/S02a3-jnry4inrty5eny6ekobobo!`

p106, 3 cells
`x = 3, y = 3, rule = B2-ae3-knqy4ijky5aejnq/S02ei3aein4cijqrw5aio\$2bo\$o!`

p110, 3 cells
`x = 5, y = 1, rule = B2cik3aciky4-ejqz5aq6c/S1e2an3cy4acn5r6kobobo!`

p112, 3 cells
`x = 2, y = 3, rule = B2-ak3jqy4wy5acer6i/S01c2en3-cq4jqrtwy5kyo\$bo\$o!`

p116, 3 cells
`x = 3, y = 3, rule = B2-ae3aejy4knqrz5cek6aik8/S01c2cn3jq4qwy5kn6cobo2\$o!`

p118, 3 cells
`x = 3, y = 3, rule = B2ein3cijkr4jknrtyz5-ceir6-ai7c8/S01c2acn3cejy4-cijny5ay6-ce7obo2\$o!`

p120, 3 cells
`x = 5, y = 2, rule = B2cin3-jknq4ekrtwy5ainr6ik7e8/S02cen3-aknq4acrw5iqry6eobo\$4bo!`

p122, 3 cells
`x = 4, y = 2, rule = B2-ae3acnr4nqr5-ceky6ckn7/S1c2aei3q4ajkqr5-qry6-ao2bo\$bo!`

p124, 3 cells
`x = 5, y = 1, rule = B2-a3ijy4ekyz5ac6an7c8/S1e2in3ceqr4acejqw5acr6ack7e8obobo!`

p126, 3 cells
`x = 5, y = 1, rule = B2-a3aeqry4kqt5-acir6eik78/S02eik3eijnr4-eikqt5ir6aek8obobo!`

p128, 3 cells
`x = 4, y = 2, rule = B2eik3ijqr4knqrtz5ijkn6-ci7e/S02aei3cijqy4aknq5c6eo2bo\$bo!`

p136, 3 cells
`x = 2, y = 3, rule = B2-ak3ac4ejkr5airy6ce7c/S12ain3knq4nqr5cijr6i7eo\$bo\$o!`

p138, 3 cells
`x = 5, y = 1, rule = B2-ai4ijnw5aceq6ek/S01c2in3inqr4-erwy5eikqy6c7obobo!`

p140, 3 cells
`x = 5, y = 1, rule = B2-ai3cjky4iknrtwz5-nry6ci8/S02kn3iqy4-ijnt6k8obobo!`

p142, 3 cells
`x = 3, y = 3, rule = B2cen3aqr4arw5ijknr6cn7c/S01c2ae3-aeiy4cejnqz5ckry6acnobo2\$o!`

p144, 3 cells
`x = 4, y = 2, rule = B2-an3ajky4ainqt5-aeny6ck/S02ck3ekry4aijkrz5inr6ak7eo2bo\$bo!`

p146, 3 cells
`x = 5, y = 1, rule = B2-ak3cejry4aknwyz5cejkq6e7e8/S12n3jk4ijrz5jr6ei7e8obobo!`

p148, 3 cells
`x = 2, y = 3, rule = B2-ak3inqy4acjqrtz5aekry6k7c/S01c3kq5y7eo\$bo\$o!`

p150, 3 cells
`x = 5, y = 1, rule = B2-ak3cijr4aektz5ci6-in7/S1e2eik3ckq4w5acy6n8obobo!`

p152, 3 cells
`x = 5, y = 1, rule = B2cik3aekn4jqtz5aen6n7/S02-ce3-in4jkty5-anr6ceiobobo!`

p156, 3 cells
`x = 3, y = 3, rule = B2-ae3aejqy4cjwz5-akn6akn7/S02ai3cekry4acjktwy5ceiq6aek78obo2\$o!`

p158, 3 cells
`x = 2, y = 3, rule = B2-ak3-ckqr4eiknqt5cny6ce7e/S1c2i3e4ej5y6ao\$bo\$o!`

p160, 3 cells
`x = 5, y = 1, rule = B2cik3-cnqy4-aejqz5acij6ce/S02n4-qrwyz5qy6-in7cobobo!`

p162, 3 cells
`x = 2, y = 3, rule = B2-ai3nr4jkt5jry/S12ace3cknr4qz5eijry6io\$bo\$o!`

p164, 3 cells
`x = 5, y = 1, rule = B2cek3ajkr4ikrwyz5eq6-an8/S02k3kr4eiknw5n6ci8obobo!`

p168, 3 cells
`x = 3, y = 3, rule = B2-ai3enqy4aiqt5iknr6cek7/S02-cn3enqr4iqz5cqr7obo2\$o!`

p170, 3 cells
`x = 5, y = 1, rule = B2-ak3-acny4arz5-cijn6-cn7/S1e2ik3jnqry4ceijkt5ay6-ai7eobobo!`

p180, 3 cells
`x = 5, y = 2, rule = B2cek3ciky4anqr5cknr7c/S01c2ckn3eiry4ajryz5ekry6aeobo\$4bo!`

p182, 3 cells
`x = 5, y = 1, rule = B2cin3-jr4knry5-cjry6aei/S02ai3ijkqy4acjnr5einr6ikobobo!`

p188, 3 cells
`x = 2, y = 3, rule = B2cei3ir4cekwy5aeq6a/S12k3ij4ejy5ciry6eio\$bo\$o!`

p190, 3 cells
`x = 2, y = 3, rule = B2cei3ciq4ajnqz5ejk6ck7e/S01c2-ek3q4rwy5aek6co\$bo\$o!`

p214, 3 cells
`x = 5, y = 1, rule = B2cik3ajqy4cjkqrwz5aceq6ak7c/S12ck3aijqr4cqwyz5-cqry6-c7cobobo!`

p216, 3 cells
`x = 5, y = 1, rule = B2ci3aeinq4ejqrtz5-ijy6aci/S02en3ceinr4ajny5aeiny78obobo!`

p224, 3 cells
`x = 5, y = 2, rule = B2-ae3aejr4ajkntyz5kq6a7e8/S01c2i3jqr4acijrwz5ceikn6ik7cobo\$4bo!`

p232, 3 cells
`x = 5, y = 1, rule = B2cin3-cknr4aejqyz6eik/S01e2a3ijnr4jqr5r6c8obobo!`

p234, 3 cells
`x = 5, y = 1, rule = B2-ai3ry4-ajkwz5-aekq6a/S01e3ar4aciwy5cejn6i7c8obobo!`

p274, 3 cells
`x = 5, y = 1, rule = B2cik3-ejn4-rty5-aejk6-ck8/S1e2n3kn4aw5cnyobobo!`

p304, 3 cells
`x = 2, y = 3, rule = B2cek3ekny4aejnwz5-cjqr6k7c8/S12-ac3iqy4z5ein6ce7e2o2\$bo!`

p314, 3 cells
`x = 5, y = 1, rule = B2ikn3-jqry4ceitwz5-cej6ikn78/S01e2en3ain4et5eijky6kn7eobobo!`

p344, 3 cells
`x = 5, y = 1, rule = B2eik3ij4ciqtyz5iy6e7e/S01c2ckn3-ikqr4enz5acikr6ci8obobo!`

p358, 3 cells
`x = 5, y = 1, rule = B2cin3-ejry4einrwz5ijk6aci7c/S1e2k3ik4cikryz5i6ciobobo!`

p368, 3 cells
`x = 2, y = 3, rule = B2ce3iny4aeinqw5acr6-ci7c/S12e3knr4acjrt5ai6e2o2\$bo!`

p376, 3 cells
`x = 5, y = 1, rule = B2-a3aqry4ejnry5ceinr6-kn7/S01c2cin3aijky4ajnqz5cknqr6-en7obobo!`
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1115
Joined: August 9th, 2013, 12:45 am

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