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Smallest Oscillators Supporting Specific Periods

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Re: Smallest Oscillators Supporting Specific Periods

Macbi wrote:EDIT: Synthesis
`x = 7, y = 36, rule = B2-ae3aeiq4jnw5ak6-ae7e8/S02-ak3eq4ceqryz5-aejq6-ei7e82b3o2\$2b3o\$3bo3\$3bo3\$3bo18\$3bo\$3bo\$bo3bo\$3bo\$o2bo2bo\$ob3obo\$3bo\$2b3o\$2bobo!`

The ship is a six-cell 3c/37, which in itself pretty cool:
`x = 5, y = 10, rule = B2-ae3aeiq4jnw5ak6-ae7e8/S02-ak3eq4ceqryz5-aejq6-ei7e82bo3\$2bo4\$o3bo\$2bo\$2bo!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Smallest Oscillators Supporting Specific Periods

All right, I think it's time I adapt my 5S update script to this oscillator collection. I should be able to do that over the weekend, but in the mean time I can say that the lowest odd period without a known 3-cell oscillator is p221 and the lowest even period without a known 3-cell oscillator is p446. So minP for the search can be safely raised to 220. Also the highest odd period found was p1731 - pretty close to half of the highest even period which seems reasonable.

p1731, 3 cells
`x = 5, y = 1, rule = B2-a3aeiq4ceinqr5jkn6ein/S02cin3aekr4acek5-eknr6k8obobo!`

I would also like to add that there were 1817 oscillators in the last collection from Sarp and once again all of them were unique. Even combined with the previous 744 oscillators there were no duplicates. In some way I suppose that's not surprising as the rulespace being searched is rather large - but it boggles my mind to think how many high period oscillators there must be that after multiple days of searching with the random ruleSearch script, not once has the script randomly selected 2 rules where the evolution of this 3 cell pattern was the same. And its not like all these oscillators only work in a few rules - one of the p100 oscillators works in 2^40 rules and many others work in more than 2^20 rules. On the other hand that pales into insignificance compared to the size of the rulespace being searched which is 2^78 (that's for 7gen of the p1650 mentioned previously). [Edit: actually, that's for only 4gen of the p1650 but 7 gen of one of the later results. I guess the search was broadened.]

Before I gave up on the manual update, I did go through all the odd periods. Here's the updated list of odd periods for which 3-cells is the lowest minimum population oscillator known:

`Odd periods 113-219, 223-231, 235, 239, 241, 245-251, 255, 259-273, 277, 279, 285-289, 293-301, 309, 313-317, 321, 323, 329, 331, 337, 351, 357, 361, 365, 391, 395, 397, 403, 405, 409-413, 421, 425, 429, 431, 445, 453, 459, 461, 467, 471, 477, 495, 505, 525, 537, 539, 543, 553, 555, 563, 575, 581, 589, 625, 689, 765, 837, 843, 863, 913, 977, 1013, 1053, 1131, 1179, 1579, 1731, 3 cells`

Does anyone want me to continue posting the rle versions of new oscillator periods? There are 69 for the new odd periods and I suspect that there will be many more for the even periods.
Last edited by wildmyron on February 22nd, 2019, 1:37 am, edited 1 time in total.
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

Re: Smallest Oscillators Supporting Specific Periods

77topaz wrote:
wildmyron wrote:p544, 3 cells
`x = 5, y = 1, rule = B2cik3aeiq4aeijnr5cejy6-ak7c/S02-ak3ace4cekqrz5ainqy6cn8obobo!`

This rule has a nice, mostly D8_1 formation sequence leading to a p9:
`x = 3, y = 3, rule = B2cik3aeiq4aeijnr5cejy6-ak7c/S02-ak3ace4cekqrz5ainqy6cn8obo\$3o\$obo!`

It also has a four-cell c/5 orthogonal spaceship:
`x = 4, y = 3, rule = B2cik3aeiq4aeijnr5cejy6-ak7c/S02-ak3ace4cekqrz5ainqy6cn83bo\$obo\$3bo!`

Oddly, apgsearch sometimes classified the p544 (which is fairly rare from soup) correctly, but just as often calls it a pathological: http://catagolue.appspot.com/census/b2c ... nqy6cn8/C1

It also freezes every 100k soups or so.

There's also a natural c/2 p64 dot puffer:
`x = 16, y = 16, rule = B2cik3aeiq4aeijnr5cejy6-ak7c/S02-ak3ace4cekqrz5ainqy6cn82bobo3bobo3b2o\$3o2bo2b2ob3obo\$3obo3b2o2b2obo\$b2obo2b2o4bobo\$ob5o3b3o\$ob2o3b5o3bo\$obo3bob2ob4o\$b3obo2bobo2bo\$b2ob2obob5obo\$obobo3b5ob2o\$3obo2bobo5bo\$2bo2bobo2bob2o\$4ob3o5b3o\$4o3bob2o2bo\$ob2obo4b3ob2o\$b3ob2obo2bobobo!`

77topaz wrote:
wildmyron wrote:p778, 3 cells
`x = 5, y = 1, rule = B2cei3aekqr4aijkny5cky6-ai78/S02ai3jknq4jtyz5-acjy6-an7eobobo!`

This rule also has a selection of other nice-looking natural oscillators:
`RLE`

There's a natural c/9 diagonal:
`x = 5, y = 5, rule = B2cei3aekqr4aijkny5cky6-ai78/S02ai3jknq4jtyz5-acjy6-an7eo2bo\$2bobo\$bobo\$2bo\$4bo!`

And a natural 4c/28 orthogonal:
`x = 8, y = 5, rule = B2cei3aekqr4aijkny5cky6-ai78/S02ai3jknq4jtyz5-acjy6-an7e7bo\$4b3o\$o4bobo\$4b3o\$7bo!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Smallest Oscillators Supporting Specific Periods

77topaz wrote:Oddly, apgsearch sometimes classified the p544 (which is fairly rare from soup) correctly, but just as often calls it a pathological: http://catagolue.appspot.com/census/b2c ... nqy6cn8/C1

It also freezes every 100k soups or so.

Looking at a few of those soups with the pathological p544 it's not obvious to me why apgsearch has failed to classify them properly. The freezes probably correspond to the pathological detections, because apgsearch runs the pattern for a really long time in response to the pathological detection.

Actually, maybe there is a pattern to these misclassifications. The following patterns made up of isolated dots all evolve into the p544.
`x = 45, y = 45, rule = B2cik3aeiq4aeijnr5cejy6-ak7c/S02-ak3ace4cekqrz5ainqy6cn82bo2\$bo2\$o16\$20bo2\$22bo2\$21bo16\$40bo\$42bo2\$42bo\$44bo!`

Most of the soups in the Pathological classification go through one of these predecessors - and there is no other active pattern at the time. I don't think the same is true for any of the soups where the p544 was correctly classified. I will mention this on the apgsearch thread.

Edit: Pretty sure that idea was a dud, but there seems to be a bug with lifelib when running that oscillator which depends on which orientation the initial phase is in. Also, disregard my comment about freezes, apgsearch only takes a second or two to deal with those soups even when it does misclassify as Pathological.
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

Re: Smallest Oscillators Supporting Specific Periods

Another one with 1000+ oscilators
`3, B2-an3aeiqr4ceinqz5acjqy6i7e/S02-an3cejkn4aeiqrwy78, 0, 0, 136, obobo!3, B2-an3aeiq4eijnw5cejn6-an7c/S02cin3ejq4-akrty5-ajry6ckn8, 0, 0, 718, obobo!3, B2-an3aeiq4inr5ck6-ak8/S02ci3-ikry4erz5cjkq6an7c, 0, 0, 310, obobo!3, B2-ae3aeiqr4aeinqwz5jnq6i78/S02-ak3aek4-aiqtz5ajnry6ack78, 0, 0, 214, obobo!3, B2-an3-jkny4ceijnqr5ejkqy6eik8/S02cik3ejnr4cery5aciq6-ai78, 0, 0, 192, obobo!3, B2-a3aeiqr4ejnqrw5ae6ikn78/S02ci3er4ceinqr5ekqry6e78, 0, 0, 164, obobo!3, B2-an3aeiq4cnq5aejnq6in7c8/S02ci3ejq4aeinwz5-cejn6acn7c8, 0, 0, 280, obobo!3, B2cik3aeiqr4cjnqrz5cy6cei/S02-ak3cejnr4-atwz5e6k7e8, 0, 0, 134, obobo!3, B2cik3aeiq4einz5acqy6ik7e8/S02cin3-ainy4enqwy5aiknq6cn7, 0, 0, 142, obobo!3, B2-an3aeiq4eijnq5-aikr6ik7e/S02ci3-ikry4eijkqry5eqy6ce, 0, 0, 130, obobo!3, B2cik3-jkny4inz5ekny6eik7e/S02cin3acejk4-t5jnry7c8, 0, 0, 578, obobo!3, B2cik3aeiq4nz5ajknq6-ae7e8/S02-ak3acej4cejkn5cikq6acn7c, 0, 0, 626, obobo!3, B2-ae3-jkny4einq5eky6ci7c/S02cin3cenq4aew5cjqy6ckn78, 0, 0, 1738, obobo!3, B2-an3aeiqr4cinqrw5cknqy6eik/S02ci3ceq4eijkqw5-i6ace7e, 0, 0, 204, obobo!3, B2-a3aeiq4eijnwz5cjnqy6ik7/S02cei3ejkq4-krtw5aejy6cek8, 0, 0, 146, obobo!3, B2cik3aeiq4ceinqw5-acir6ci8/S02-ak3e4acenz5ejnry7e8, 0, 0, 178, obobo!3, B2cik3aceiq4cinz5ejnq6ei7/S02ci3ejkqr4-ajrt5cikny6c7c, 0, 0, 388, obobo!3, B2-ae3-jkny4ijnqr5cejn6in8/S02ci3acejq4aeirz5-cej6n7, 0, 0, 184, obobo!3, B2-an3aeiq4-akty5-acir6i8/S02cin3cejr4-nqt5eir6k8, 0, 0, 200, obobo!3, B2cik3-jkny4eijnqr5-ainr6-an7c8/S02cei3ejkqr4aeijknr5jq6ck7c, 0, 0, 728, obobo!3, B2-an3aeiq4cinqrw5cej6cei7c/S02ci3cekqr4-knt5jnry6cek7e, 0, 0, 1082, obobo!3, B2cik3aeiq4n5ajkn6i8/S02cin3enq4cekqry5-cekq6k8, 0, 0, 194, obobo!3, B2-a3-jkny4ejnqw5ejy6-ak7/S02cin3eknq4-qtyz5-aeny6ae78, 0, 0, 194, obobo!3, B2cik3aeiqr4cenrw5cekny6ein8/S02cik3cenr4ceinqy5-cekr6aek8, 0, 0, 148, obobo!3, B2-an3-jkny4ainr5ekqy6ei8/S02cik3cejr4acekw5ij6k8, 0, 0, 146, obobo!3, B2cik3-jkny4eijnqr5jqy6i78/S02-ak3aejkn4ejr5cjnry6ck7e, 0, 0, 134, obobo!3, B2cik3aeiq4acinr5ajky6ik7c8/S02ci3-aciy4eiyz5aik6-in8, 0, 0, 285, obobo!3, B2cik3aeiq4aeinrw5y6eik8/S02cin3cenq4-at5-aqr6ac7c, 0, 0, 298, obobo!3, B2cik3aceiq4cnrz5eknqy6i/S02-ak3ae4aeijknr5aijkn7e8, 0, 0, 138, obobo!3, B2-ae3aceiq4cnrw5acejn6ci7/S02ci3ej4aceqrwy5aceiy6ce7, 0, 0, 864, obobo!3, B2-ae3-jkny4inqw5cjnq6-ak7e/S02cei3er4aeinqwy5-aijn6ace78, 0, 0, 418, obobo!3, B2-ae3aeiqr4cjnqz5ajnq6ci7e8/S02ci3cejk4ace5qy6ck78, 0, 0, 138, obobo!3, B2cik3aceiq4ein5cenq6cei7c/S02cei3cejq4aceikrz5-aikr6akn7c, 0, 0, 434, obobo!3, B2-a3aeiqr4einrw5ejkq6i7/S02ci3ejnr4acenr5ijkqr6e7c8, 0, 0, 350, obobo!3, B2-an3-jkny4ceinqrz5ey6-a8/S02cin3acej4-itz5ijkqr6n78, 0, 0, 160, obobo!3, B2cik3-jkny4cnqrw5qy6cei8/S02cei3aejkn4-atwz5ry6-in78, 0, 0, 184, obobo!3, B2cik3aeiq4cjnqz5aeqy6-ak7c8/S02cei3ejq4ceqrz5cejky6-in7e8, 0, 0, 328, obobo!3, B2-ae3-jkny4cejnqrz5cekq6-ac7c/S02ci3ekqr4-cjntw5-aknr6-i7c8, 0, 0, 420, obobo!3, B2cik3aeiqr4cijnqwz5cej6ci7/S02cin3aejnq4acejkqy5ijny6-ai7e8, 0, 0, 194, obobo!3, B2cik3-jkny4jnr5ckqy6ikn7e8/S02-ae3ejkqr4-akntw5aceij6cek8, 0, 0, 1378, obobo!3, B2-ae3aeiqr4jnqr5ekq6cik7/S02ci3ceq4-jkt5-enqr6ack7e8, 0, 0, 238, obobo!3, B2-ae3aeiqr4-aktyz5e6eik7e8/S02cin3ceknq4-kntz5jnr6e7, 0, 0, 145, obobo!3, B2-ae3aeiqr4eijnqrz5eq6ein8/S02ci3cenqr4ceijk5-ijnr6ack8, 0, 0, 150, obobo!3, B2-ae3aeiqr4cejnz5cejq6-a7/S02cei3cekr4cew5-cenr6a7c8, 0, 0, 379, obobo!3, B2-ae3aeiq4cejnqrw5-einr6i/S02cin3aekq4-nrtw5ekry6cn8, 0, 0, 423, obobo!3, B2cik3-knry4-ajkty5-ainr6ci8/S02-ae3cekqr4aceijkz5-enr6cen78, 0, 0, 228, obobo!3, B2-ae3aeiq4cinqrwz5jnq6ci8/S02cei3-iky4ceinrw5-ckry6an8, 0, 0, 128, obobo!3, B2-ae3aeiq4ceinqr5ackn6ikn8/S02cik3ace4aekqrw5eijr6ckn, 0, 0, 628, obobo!3, B2cik3-jkny4einrw5eqy6in7e8/S02cik3aek4eqz5cjq6-ai7, 0, 0, 236, obobo!3, B2-an3aeiqr4ejnqw5cekny6i/S02-ae3ejn4aeirwz5i6kn7e8, 0, 0, 159, obobo!3, B2-ae3-jkny4eijnqr5ek6in/S02cin3ejkqr4-t5aekqr6ce7c, 0, 0, 180, obobo!3, B2-an3-jkny4jnq5aknq6i8/S02-ak3ek4aer5eijry6n7e8, 0, 0, 130, obobo!3, B2cik3aceiq4jnrw5aejqy6cik7e8/S02cin3cejq4aeijny5ajknq6-in7c8, 0, 0, 170, obobo!3, B2-an3aeijq4inq5ejqy6eik78/S02-ae3cek4-aknt5ikr6en7e8, 0, 0, 230, obobo!3, B2-a3-ckny4ceinw5ejy6ik7e/S02cin3ek4aerz5eiy6c7e8, 0, 0, 172, obobo!3, B2-ae3aceiq4-krtwy5y6in7e/S02cei3ek4aceikqr5n7c8, 0, 0, 124, obobo!3, B2cik3aeiqr4aeinr5cekny6cin7c8/S02-ak3cejk4acejr5-cnry6a7e, 0, 0, 1330, obobo!3, B2cik3aeiqr4einrz5ejq6ein7e8/S02cik3ekq4acekyz5-jqy6ak7e, 0, 0, 200, obobo!3, B2cik3aeiqr4aeijnr5ajk6ikn7/S02-ak3ejnr4acejqr5cekr6aek8, 0, 0, 205, obobo!3, B2cik3aceiq4ijnrz5cknqy6i8/S02ci3en4cery5aeiny6ekn8, 0, 0, 200, obobo!3, B2cik3aceiq4aeinqr5cjq6-an7e/S02cei3aekr4ceqrw5acejn6cen8, 0, 0, 352, obobo!3, B2cik3-kny4cinrw5ej6ei7e/S02ci3ejqr4-cjkt5cijr6ckn78, 0, 0, 228, obobo!3, B2-ae3aeiq4cinqrz5aceq6-ac78/S02cin3aej4eijryz5aknq78, 0, 0, 220, obobo!3, B2-ae3aceiq4cinqwz5ejn6cik7c8/S02cik3aej4eknqyz5inqr6ae7c, 0, 0, 170, obobo!3, B2-ae3aeiq4inq5ajn6in7e8/S02ci3ejq4ejknwy5aejnq6ckn7e8, 0, 0, 166, obobo!3, B2-ae3aeiq4jn5ak6-ae/S02-an3ek4eijkqz5aq6c7e8, 0, 0, 180, obobo!3, B2cik3aeiq4cnqrz5aeqy6eik78/S02cei3cekqr4-ajrt5ky6-i78, 0, 0, 496, obobo!3, B2cik3aeiq4cijnqwz5ejn6-ac7c/S02-ae3er4ceijq5aiky6-in7e, 0, 0, 452, obobo!3, B2-ae3-jkny4cinqrw5cekq6-ac8/S02cin3aejkq4aeiwyz5ceky6akn7c8, 0, 0, 376, obobo!3, B2cik3aceiq4ejnwz5ejqy6cei7/S02ci3ejkqr4aceiwyz5ajky6cen7, 0, 0, 160, obobo!3, B2-ae3-jkny4cejnqw5cknq6ik7e8/S02ci3eq4-atwyz5cery6c8, 0, 0, 172, obobo!3, B2cik3aeiqr4inw5ejnqy6ein7e8/S02cik3ejk4aeqwyz5-ein6aek7c, 0, 0, 269, obobo!3, B2-a3-jkny4en5q6i7/S02ci3aeq4cejkw5eijkq6cek7c8, 0, 0, 178, obobo!3, B2cik3aceiq4ceinq5nqy6-ae7/S02-ak3er4eijkyz5aenqy6-in7e, 0, 0, 198, obobo!3, B2-an3aceiq4jnqrz5cknq6eik7c8/S02cin3eq4ceqry5ekny6ek7c, 0, 0, 466, obobo!3, B2-ae3aeiqr4ceijnrz5cjky6-a7/S02-a3aej4eqrz5eijnr6k, 0, 0, 208, obobo!3, B2-ae3aceiq4cinq5ejkny6-ae7c8/S02cin3-ciny4ceknqz5-aijn6k, 0, 0, 256, obobo!3, B2cik3aceiq4jnrwz5ejknq6-ae/S02ci3aejr4ejqy5aeijn6ck, 0, 0, 194, obobo!3, 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B2-ae3aceiq4ijnqw5jk6ein/S02ci3ejkn4-itwz5-knqr6ce78, 0, 0, 166, obobo!3, B2cik3aeijq4ceinqrz5ejkqy6ikn7c/S02ci3ek4-jqtz5acjqr6-i78, 0, 0, 520, obobo!3, B2cik3aeiq4nqrw5cjnqy6eik7/S02ci3aejkq4eijn5ejkqy6ack, 0, 0, 894, obobo!3, B2-ae3aceiq4eijnqrw5-aijr6i7c8/S02cei3cejkq4acejkq5nqr6a7c8, 0, 0, 270, obobo!3, B2cik3-ckny4cnr5ackqy6i7e/S02cin3ejk4aenryz5ijr6c, 0, 0, 152, obobo!3, B2cik3aeiqr4aijn5cjknq6ei78/S02ci3cejk4-jqrtz5aikry6ckn8, 0, 0, 1327, obobo!3, B2-ae3aeiq4ajnqr5y6cei7/S02cik3ce4eijnryz5aeny6en, 0, 0, 492, obobo!3, B2cik3aeiqr4cijnq5aceny6-ak7c8/S02-ak3ejknq4-acqrt5eny7c8, 0, 0, 466, obobo!3, B2cik3aeiqr4ijnr5eq6ik7e8/S02-ae3ejnr4acen5-acn6k78, 0, 0, 157, obobo!3, B2cik3aceiq4ijnqwz5ejy6-ae7c8/S02cin3ace4aceryz5eknq6an7, 0, 0, 286, obobo!3, B2-an3aceiq4ijnr5en6ein7/S02ci3ejqr4aceikyz5ceir6k78, 0, 0, 158, obobo!3, B2cik3aeiq4cinrwz5-ainr6cik/S02ci3ceqr4-inqtw5ciqry6ack78, 0, 0, 192, obobo!3, B2-an3aeiq4cinw5aenqy6ik7c/S02ci3ejkqr4ceknqw5ijnq6ack, 0, 0, 154, obobo!3, B2cik3aceiq4cijnrw5jkq6-an7/S02-ak3enqr4erwyz5ain6en, 0, 0, 150, obobo!3, B2-ae3aeiq4nwz5ajny6cei8/S02cei3cejnr4aejqwy5aik6ce, 0, 0, 198, obobo!3, B2cik3aeiqr4cijnqwz5n6ikn7c/S02cei3cenr4aeirw5-aeqr6a7e, 0, 0, 178, obobo!3, B2cik3aceiq4eijnqw5k6cik7e/S02cin3eq4-cty5-cy6k78, 0, 0, 200, obobo!3, B2cik3aeiq4cein5q6-ae7c/S02-a3ejq4eijnrz5aiy6cn7c, 0, 0, 370, obobo!3, B2cik3aeiq4jnw5an6-ak78/S02cik3ek4ejknqry5-akry7c8, 0, 0, 154, obobo!3, B2cik3aeiqr4cnrz5ejk6ik8/S02ci3eknq4-jktyz5aikny6-in7c, 0, 0, 232, obobo!3, B2cik3aeiqr4ceijnr5acjq6ik78/S02cei3ceqr4-cjrtw5cnr6-ik7e8, 0, 0, 171, obobo!3, B2-an3aeiq4inrw5j6ei7e8/S02cin3-ciqy4aejnw5cejq6an8, 0, 0, 212, obobo!3, B2cik3aeiqr4acinqw5ejnqy6cin7c8/S02cik3ekqr4aceirw5-acn6e8, 0, 0, 224, obobo!3, B2cik3-jkny4ijnq5jn6cin78/S02-ak3acen4cejknz5jknqr6-ci78, 0, 0, 200, obobo!3, B2-a3aceiq4cnq5aknqy6ei7c8/S02ci3ek4aejnwy5-ackn6ak8, 0, 0, 200, obobo!3, B2cik3aeiq4cijnqrw5ekn6cik7e8/S02-a3cejkq4aeinyz5eikqr6kn8, 0, 0, 194, obobo!3, B2-an3aeiqr4ceijnrz5ek6ein78/S02-ak3ekqr4aeknry5aikqy6ce78, 0, 0, 180, obobo!3, B2cik3aeiqr4cjnrw5ckn6ci7c8/S02cin3cejq4acei5-aekq6ac7e, 0, 0, 276, obobo!3, B2cik3aeiq4cjnqrw5aejnq6ci7/S02ci3ejkq4aeinq5aeijr6a7e8, 0, 0, 238, obobo!3, B2-ae3aeiqr4ijnqw5ejkqy6ik8/S02ci3aejq4acejqyz5cejkr6aek7c, 0, 0, 360, obobo!3, B2-ae3aceiq4jnqwz5cekqy6cin7e8/S02cei3ce4ceiqrwz5-cejn6aen8, 0, 0, 1414, obobo!3, B2cik3aeijq4nqrz5cejny6i7c8/S02ci3cer4-acjtw5-ekn6cn7, 0, 0, 169, obobo!3, B2cik3aceiq4ceijn5cy6-ae7e/S02cei3aen4cejrw5ciqy6-in7c8, 0, 0, 454, obobo!3, B2cik3aeiq4inrz5akn6ikn7e8/S02cin3acekr4acekn5anry6aek7e, 0, 0, 412, obobo!3, B2-an3aceiq4cjnqr5ckqy6-a7e/S02cin3-ijny4-cnqtw5aeiq6ckn7, 0, 0, 238, obobo!3, B2-an3aeiqr4cijnqr5ekq6ei7e8/S02cik3aceq4acew5ijnqy6ace7e, 0, 0, 274, obobo!3, B2-ae3aceiq4eijnr5kn6ikn8/S02ci3-ijky4-ckty5ajky6en78, 0, 0, 457, obobo!3, B2cik3-jkny4nqwz5acj6-ae7c8/S02-ak3ae4ceik5-cijn6c78, 0, 0, 304, obobo!3, B2-ae3aceiq4inwz5jqy6-ae/S02ci3ae4-acty5cry6kn7e8, 0, 0, 158, obobo!3, B2-an3aeiqr4cein5acknq6in7c/S02ci3aceqr4aein5-ckr6ckn7, 0, 0, 156, obobo!3, B2-an3-ckny4ceinqw5jq6cik8/S02ci3ej4eknrw5c, 0, 0, 164, obobo!3, B2cik3aeiq4jnqr5cjkqy6in7/S02cik3aceq4ejnqry5acjkn6ac7c8, 0, 0, 152, obobo!3, B2cik3aeiq4ceinqr5ejkq6i/S02-ak3ejnq4aeinrwz5-aejk6ak7, 0, 0, 209, obobo!3, B2cik3aeiq4cjnw5jy6-ak7/S02cin3ceknr4acejz5-cekr6ckn7c8, 0, 0, 268, obobo!3, B2cik3-jkny4aeinqr5ajkq6cik8/S02ci3cen4cejkrz5-ceiq6ack7, 0, 0, 180, obobo!3, B2cik3aceiq4cjnqrw5ajky6cik/S02ci3en4-knrty5aijqy6aek, 0, 0, 344, obobo!3, B2-ae3aeiq4cinz5-inry6-ac7c/S02cik3aejkq4enr5-jkry6ckn, 0, 0, 151, obobo!3, B2cik3aeiqr4enqrwz5ckn6cik7e8/S02-ae3eq4aeikrz5-jky6c7e8, 0, 0, 754, obobo!3, B2cik3aeiqr4nr5ceny6-a/S02cei3ej4-cijqt5-ij6ak7c8, 0, 0, 203, obobo!3, B2cik3-jkny4-aktyz5ejqy6ci8/S02cik3cekq4einy5ikqr6ck7e8, 0, 0, 370, obobo!3, B2-an3aeiq4cinqrz5c6eik7c8/S02cin3-aijy4eikqryz5aq6en8, 0, 0, 498, obobo!3, B2cik3aeiqr4cjnw5ackn6cik7/S02cei3cejkr4cejkqr5aciky6ek7c8, 0, 0, 1152, obobo!3, B2-ae3aceiq4einqrw5cknq6cin78/S02cin3ejk4-anrtz5cejn6an7e8, 0, 0, 216, obobo!3, B2cik3-jkny4cejnrz5eq6-ae7e/S02-ae3ekqr4einwz5-jnry6ace, 0, 0, 244, obobo!3, B2-an3-jkny4ijnqr5ny6-ac7c8/S02cik3ejknr4-aqty5cjq6ek7e8, 0, 0, 226, obobo!3, B2-an3-jkny4ceinr5cey6-ak78/S02cin3acekq4aceiwz5ejqry6-i8, 0, 0, 564, obobo!3, B2cik3aeiq4cijnqwz5cekq6in7c8/S02-ae3ejkr4ceik5aciry6-ik78, 0, 0, 548, obobo!3, B2cik3aeiq4ainz5-ainr6cin7/S02cik3er4eijwy5-acy6cek7c8, 0, 0, 190, obobo!3, B2-ae3aeiqr4ceinqrw5cnq6ei/S02cin3aen4ceiqrwy5cenqy6aen7, 0, 0, 300, obobo!3, B2cik3-jkny4inqwz5cejn6-an7e/S02ci3eknq4aeijky5-ckry, 0, 0, 300, obobo!3, B2-ae3aeiq4cejnq5cenqy6-an7e/S02ci3ejkr4-krtw5ejkny6ace78, 0, 0, 622, obobo!3, B2cik3aeiqr4cjnr5ejkqy6cin7c/S02cei3ejn4-jntwy5-cqry6kn8, 0, 0, 330, obobo!3, B2-an3aeiqr4cinqr5acjy6-ac7/S02-ae3ej4eijkr5eijny6an7e, 0, 0, 162, obobo!3, B2-ae3aeiqr4ainw5ekn6eik7c/S02ci3e4ceiy5-ejkq6ace, 0, 0, 328, obobo!3, B2cik3aeiqr4enr5k6eik7e8/S02cin3aek4eiknqw5ekqy6c7e, 0, 0, 196, obobo!3, B2-ae3aeiqr4ainqrw5ej6ik7c/S02ci3ej4aceijnq5-ackn6ckn8, 0, 0, 168, obobo!3, B2cik3aeijq4eijnr5cey6eik7c/S02-ae3cejnr4einryz5eijnr6ak7c, 0, 0, 300, obobo!3, B2cik3aceiq4cinqr5aej6ci/S02-ak3acejq4-cinqt5-nry6ek7, 0, 0, 189, obobo!3, B2-a3aeiq4enqrz5cejkn6in/S02ci3ekq4ceiy5eiry6k8, 0, 0, 554, obobo!3, B2cik3aceiq4cinqrz5jknq6cei7c/S02-a3ej4-aqty5acij6aek78, 0, 0, 422, obobo!3, B2cik3aeijq4eijnz5jky6ci7e/S02cin3acejr4ceijry5cjr6k7e, 0, 0, 256, obobo!3, B2cik3-jkny4ejnqr5q6ik/S02cei3aej4ejknwz5jkqr6ae7, 0, 0, 591, obobo!3, B2cik3-jkny4einq5cnqy6-ae7e8/S02cei3aejkq4aeirz5eikry6-ai8, 0, 0, 226, obobo!3, B2cik3aeiq4-ektyz5jkn6-ae/S02cin3ej4-ajkt5-inry6cek78, 0, 0, 155, obobo!3, B2cik3aeiq4ijnqrwz5cejn6cik7c/S02-ae3cenq4ceijnwy5-knqr6kn7e8, 0, 0, 449, obobo!3, B2cik3aceiq4ceinqr5ck6cin7c8/S02-an3ejqr4ekqrwz5-cjqy6ace7e8, 0, 0, 170, obobo!3, B2cik3aeiq4cjn5cekny6cik78/S02cei3ejkq4-anrtz5ciqr6c7e, 0, 0, 276, obobo!3, B2-ae3aceiq4ceinqz5acjky6-ae7e/S02-ak3ejk4aer5ajy6k8, 0, 0, 164, obobo!3, B2cik3aeiqr4jnq5-eiqr6cin/S02cik3ejr4eijknrz5-jn6-in7c, 0, 0, 190, obobo!3, B2-ae3aceiq4cenqr5ejkq6ik7c8/S02cei3aej4eijqry5-iknq, 0, 0, 372, obobo!3, B2-ae3-jkny4acein5cjq6ein7c/S02-ak3ek4ceknrz5jkny6a7c8, 0, 0, 254, obobo!3, B2cik3-jkny4einrz5aeq6ei7e/S02ci3aekn4-ciknt5enry6akn7c, 0, 0, 1216, obobo!3, B2-an3aeiq4cenrwz5-acir6i7/S02ci3eq4ceiyz5-ckqy6ek7, 0, 0, 154, obobo!3, B2cik3-jkny4cenqw5ck6ei7/S02cei3-ainy4-acity5ciknq6cn7e8, 0, 0, 202, obobo!3, B2-ae3-ckny4einrz5cjkny6cik7e/S02ci3cejqr4eikrz5aiqry6-ai78, 0, 0, 958, obobo!3, B2cik3aeiq4cnz5-ir6in78/S02cin3aejq4aeiz5-jqy6aek, 0, 0, 188, obobo!3, B2-ae3aeiq4n5knq6eik78/S02ci3cej4-akrtz5-cjqy6ck7e8, 0, 0, 154, obobo!3, B2-ae3aeiqr4ajnqr5cjkny6ci/S02-ak3e4acejnqy5ijny6ak7e, 0, 0, 160, obobo!3, B2-ae3-jkny4jnr5e6ik7/S02ci3cek4eijkn5airy6an7c, 0, 0, 162, obobo!3, B2cik3aceiq4ceijnrw5ekny6i78/S02cin3acejq4erw5akr6cn7, 0, 0, 171, obobo!3, B2-ae3aeiqr4cinrwz5acn6ik/S02cik3cejqr4cerw5cejnq6c7e, 0, 0, 150, obobo!3, B2cik3aceiq4ceijnrw5cny6ik78/S02cik3ace4-aknty5ceijk6cek, 0, 0, 462, obobo!3, B2-an3aeiq4cn5jkqy6ik7e/S02-ak3aejq4-ainqt5aceik6ac8, 0, 0, 152, obobo!3, B2cik3-jkny4ijnqr5cnq6i8/S02-ae3ejkq4aceinqz5cinqy6kn7e, 0, 0, 3210, obobo!3, B2-an3-jkny4einqr5aqy6ein8/S02cin3cen4ejkqryz5-ejqy6-ik7c, 0, 0, 188, obobo!3, B2-ae3aeiq4ijnqz5ekqy6cei7c8/S02cei3aenr4ejnrw5iky6c78, 0, 0, 280, obobo!3, B2cik3aeijq4ceinqrw5cjq6cei7e8/S02cei3aceq4ceknwy5cknqr6e7e8, 0, 0, 188, obobo!3, B2-an3aeiqr4eijn5jnqy6i/S02cin3-airy4ceiqry5-aekq6ce, 0, 0, 256, obobo!3, B2cik3aeiqr4cejnr5ck6ei8/S02-ak3cejn4eijqw5ceiky6ck8, 0, 0, 262, obobo!3, B2cik3aeiqr4ijnrw5ej6ci/S02cik3acej4aekrz5ijny6a7c, 0, 0, 156, obobo!3, B2cik3aeiq4cjnqz5kq6i7e/S02cin3ej4aeiry5aijk6acn7e8, 0, 0, 234, obobo!3, B2-ae3aeiqr4cjnw5cekn6-a7e/S02cin3ejr4ceijqr5e6cn7c, 0, 0, 266, obobo!3, B2-ae3-jkny4ceinwz5cny6cei7c8/S02cin3cejq4acejk5-kry6a7c8, 0, 0, 214, obobo!3, B2cik3-knry4nqr5ekny6-ae7e8/S02cei3eq4ekny5eiqr6c7e, 0, 0, 238, obobo!3, B2cik3aeiqr4cjnwz5cejnq6cin7e8/S02ci3-ikny4ejknq5any, 0, 0, 232, obobo!3, B2-ae3aeiqr4jnrw5ejkn6cik7e8/S02cin3cejkr4cenqwy5ejn6an7c, 0, 0, 172, obobo!3, B2cik3-kny4einqr5ekqy6cik7c/S02-a3ejkr4aeknqrz5ceinr6ace, 0, 0, 184, obobo!3, B2cik3-jkny4nr5acjnq6cin7e/S02ci3ejkqr4ceiry5eikqy6ck7e, 0, 0, 194, obobo!3, B2-an3aeiq4cjnqr5ace6-an7c/S02cin3ceqr4aejqw5-cjk6ek, 0, 0, 438, obobo!3, B2cik3aceiq4cijnq5ejy6ci8/S02cin3ejkq4-qtw5aeiq6a8, 0, 0, 152, obobo!3, B2-ae3aeiq4einz5-airy6ci7c8/S02cik3cenr4aceijqy5-cej6e7c, 0, 0, 222, obobo!3, B2cik3aeiq4ceinq5ek6-ae7c8/S02-ae3-ciky4aenr5acinr6an7c, 0, 0, 151, obobo!3, B2cik3aceiq4cinz5-airy6ein7/S02-ak3ek4-antwy5ijnqy6a7c, 0, 0, 178, obobo!3, B2cik3aeiq4enq5ckq6-ae7/S02cin3-ijky4aejw5-cekn6-ei7e8, 0, 0, 230, obobo!3, B2-ae3aceiq4ijnrw5ceqy6-a/S02-ak3cejkr4aeijqw5aekr6-ci7e8, 0, 0, 184, obobo!3, B2-ae3aeiq4ceinqr5eq6cik7c/S02cei3-airy4acekqrz5aekqr6a, 0, 0, 232, obobo!3, B2-ae3aeiqr4en5aekqy6ik8/S02cin3aekq4ewz5cinry6-in8, 0, 0, 338, obobo!3, B2-an3aeiqr4inqrz5-acir6ein7e8/S02ci3cej4aceiqrz5acjnq6ak8, 0, 0, 220, obobo!3, B2cik3aceiq4cenq5jkny6cin8/S02cin3cejkn4eijnrwy5ceinq6aek8, 0, 0, 232, obobo!3, B2-ae3-jkny4einrwz5ekn6cei8/S02ci3acej4-jnrtw5ijky6ekn7e, 0, 0, 4744, obobo!`

p4744 which is the third oscilator I found after changing maxgen from 4000 to 6000
`x = 5, y = 1, rule = B2-ae3-jkny4einrwz5ekn6cei8/S02ci3acej4-jnrtw5ijky6ekn7eobobo!`

wildmyron wrote:So minP for the search can be safely raised to 220.

I will raise it now
WADUFI
Sarp

Posts: 193
Joined: March 1st, 2015, 1:28 pm

Re: Smallest Oscillators Supporting Specific Periods

Sarp wrote:p4744 which is the third oscilator I found after changing maxgen from 4000 to 6000

Maybe it is worth to take a much larger upper limit e.g. 10k or even 100k but breaking the loop if the ratio of bounding box width/hight to 'lifetime' is too large - to reduce the computational costs. So that clearly exploding rules will be cancelled, after e.g. 1000 gens. We could take the bounding box evolution of the actual found oscillators to find a suitable upper bound so that it is unlikely to miss oscillators.

2718281828

Posts: 684
Joined: August 8th, 2017, 5:38 pm

Re: Smallest Oscillators Supporting Specific Periods

The rule with the p4744 also has an eight cell p1910:
`x = 1, y = 17, rule = B2-ae3-jkny4einrwz5ekn6cei8/S02ci3acej4-jnrtw5ijky6ekn7eo4\$o\$o2\$o2\$o2\$o\$o4\$o!`

Macbi

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

Re: Smallest Oscillators Supporting Specific Periods

Macbi wrote:The rule with the p4744 also has an eight cell p1910:
`x = 1, y = 17, rule = B2-ae3-jkny4einrwz5ekn6cei8/S02ci3acej4-jnrtw5ijky6ekn7eo4\$o\$o2\$o2\$o2\$o\$o4\$o!`

Wow, impressive! Shame the rule doesn't appear to have any remotely common spaceships, though. Is that the first rule from SOSSP that has had multiple p1000+ oscillators common enough to be found with apgsearch?

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Smallest Oscillators Supporting Specific Periods

77topaz wrote:Is that the first rule from SOSSP that has had multiple p1000+ oscillators common enough to be found with apgsearch?
Yes, but there was also the rule B2cik3aceiq4aijnqrw5n6in78/S02ci3cejkq4-jrtwz5-aqry6n7c8 which has a 3 cell p2520 and a p505 found with apgsearch, so I think these rules with small high period oscillators do have a tendency to have more than one.

Macbi

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

Re: Smallest Oscillators Supporting Specific Periods

1000+ oscilators
`3, B2cik3aceiq4ijnrwz5acjk6-an7e/S02cei3ek4-iqtyz5er6ekn7e8, 0, 0, 368, obobo!3, B2cik3aeiq4ijnqz5-ikr6in7/S02cin3acek4-acirt5aeny6a7e, 0, 0, 998, obobo!3, B2-ae3-jkny4ejnrw5ejky6-ae7c8/S02ci3e4ceijny5-ekny6an78, 0, 0, 1180, obobo!3, B2cik3aceiq4acein5kny6-ae7e/S02ci3ceq4acekwy5-jn6-i7e, 0, 0, 405, obobo!3, B2-ae3aeiq4cjnqrwz5eknqy6cin78/S02ci3aekqr4cekwy5acejy6-ci78, 0, 0, 406, obobo!3, B2-ae3aeiq4cnqrwz5cjy6ci7c/S02cei3ejknr4ejnqryz5aiqry6c7e8, 0, 0, 249, obobo!3, B2-ae3-jkny4inq5eq6in7c/S02cei3acejq4acenq5aeqy6ck7e8, 0, 0, 476, obobo!3, B2-ae3aceiq4enr5ejnq6-an/S02cin3eq4aeiny5-cjr6ak7e, 0, 0, 248, obobo!3, B2cik3aeiqr4cinqrz5cejky6eik7c8/S02cin3acenq4-cnrtw5eiry6ae7e, 0, 0, 488, obobo!3, B2-ae3aceiq4ijnrz5eqy6-ac7e8/S02ci3-ijky4eijknqw5acjr6-ei7c8, 0, 0, 400, obobo!3, B2-ae3-ckny4eijnqr5ceqy6-a7e8/S02cin3aeqr4-aktwz5ekq78, 0, 0, 400, obobo!3, B2-ae3-jkny4ceinqrw5cejn6-a7e/S02ci3acek4ceijnw5cny6ac7e8, 0, 0, 694, obobo!3, B2-ae3aeiqr4cenqw5cqy6ik7/S02cei3ejk4-rtwy5aejnr6a7, 0, 0, 233, obobo!3, B2-ae3aceiq4enrwz5ny6ei7c8/S02-ak3ek4-qtwyz5aiqr6-ei7e, 0, 0, 524, obobo!3, B2cik3aeiqr4inqz5aekny6cik8/S02ci3cenqr4eiknyz5ijknq6-ik7c8, 0, 0, 324, obobo!3, B2-ae3aeiq4cijnqw5c6cik/S02ci3acekn4-jt5eqry8, 0, 0, 368, obobo!3, B2-ae3aceiq4einq5cek6ik7/S02-ak3ejk4-ikqt5-qr6ace, 0, 0, 262, obobo!3, B2-ae3-knry4cein5ceq6-ae7c8/S02ci3ejkq4eijqr5airy6cek7c8, 0, 0, 1224, obobo!3, B2-a3aeiqr4cijnqz5jny6-ae8/S02cin3-ainy4ceiqwz5ciq6ckn7, 0, 0, 470, obobo!3, B2cik3aeiqr4cnqrz5aekny6cik7/S02cin3-ainy4-knqtw5aijk6ck7e8, 0, 0, 229, obobo!3, B2-ae3aeiq4ejnrz5eny6-ae7c8/S02ci3ejknq4-rty5eiry, 0, 0, 438, obobo!3, B2cik3aeiqr4enqrw5eq6-ak7e/S02ci3cejr4aenrz5-jq6ek7e, 0, 0, 338, obobo!3, B2-ae3aceiq4jnqrw5ajknq6-ac8/S02ci3cenr4cejknrz5-ejqr6ckn7c8, 0, 0, 264, obobo!3, B2-ae3-jkny4ain5ejkq6ikn7c/S02ci3acej4ekqy5anq6ack7e, 0, 0, 302, obobo!3, B2-an3-jkny4eijnqrz5ejny6in8/S02ci3cekq4eijknrw5cekn6ack7c8, 0, 0, 250, obobo!3, B2-ae3-jkny4cenqrz5jkq6-ak/S02-ae3ce4aeik5e6ck78, 0, 0, 334, obobo!3, B2-a3aeiq4cinqrz5cy6-ac78/S02cin3aejk4ceiqrw5-aey6-i7c8, 0, 0, 236, obobo!3, B2-ae3-kny4cinqr5ajky6cin/S02ci3aejk4aceikyz5iknr6ace7c8, 0, 0, 270, obobo!3, B2-ae3-jkny4eijnrw5jnq6cei7/S02ci3ejqr4aeknwz5-jkn6-ai7c8, 0, 0, 950, obobo!3, B2-an3aeiq4nrw5-cikr6cin7c/S02cin3ejk4-aknrt5-cjr6ae7c, 0, 0, 230, obobo!3, B2cik3aeiqr4cinqrw5-ikr6ein7c/S02cin3ekqr4cejqryz5-en6ckn7e8, 0, 0, 714, obobo!3, B2-ae3-jkny4ceinqrw5jkny6-ae8/S02ci3en4acejqr5cijry6-ik8, 0, 0, 464, obobo!3, B2cik3aceiq4acinwz5cej6ein7c8/S02cin3ejqr4-anqtz5acr6cen7c, 0, 0, 775, obobo!3, B2cik3-jkny4cinqrz5acnqy6-a7e8/S02cei3ejq4ceknqrz5aeinr6en7e, 0, 0, 326, obobo!3, B2-ae3aeiq4cjnrw5cjkn6cik7e8/S02ci3ejkr4cejknw5-eiqy6-ci7c8, 0, 0, 378, obobo!3, B2-an3aeiq4jnqrz5acekq6cei7/S02cin3aenr4ceiwyz5-ckqr6-ci7e, 0, 0, 232, obobo!3, B2cik3aeiq4ijnrz5-aeir6-ac/S02-ak3er4ceijky5cejy6ckn, 0, 0, 350, obobo!3, B2cik3aceiq4acinr5jnqy6ei7/S02-ak3aek4eijkqrz5-ajnr6-in, 0, 0, 304, obobo!3, B2cik3aeiqr4einqrw5ackqy6i8/S02cei3en4eikqrwz5aeqry6-ik7e8, 0, 0, 472, obobo!3, B2cik3aeiqr4cin5-ijry6ei7c/S02cei3ekr4aceijnq5aciqy6ck7e8, 0, 0, 318, obobo!3, B2-an3-jkny4einrz5ajq6eik/S02ci3cejk4aeiqz5inq6-i7c, 0, 0, 252, obobo!3, B2cik3-jkny4acin6i7/S02cin3ekq4-jtz5eijry6akn7e, 0, 0, 562, obobo!3, B2-ae3aeiq4nqwz5cekq6ikn/S02ci3e4-cntwz5acjk6e78, 0, 0, 222, obobo!3, B2-ae3aeiq4eijnrz5acjn6-ac8/S02cei3ekq4-crtw5cikry6a78, 0, 0, 222, obobo!3, B2cik3-jkny4ceijnqr5cejn6ci78/S02-ae3ejkq4-ajnty5-cik6e7c8, 0, 0, 626, obobo!3, B2cik3aeijq4eijn5cqy6-an7e8/S02ci3cekq4aceikrz5ciny6ck7e8, 0, 0, 292, obobo!3, B2-a3aeiqr4cnrz5ce6cik/S02cin3ceqr4aeiknqy5acey6ack8, 0, 0, 240, obobo!3, B2-ae3aeiqr4cinqr5cjny6-a7e/S02-ae3aejqr4ceijkqz5-ik6aek7e, 0, 0, 250, obobo!3, B2cik3aeiqr4cjnqrw5acjky6cik7/S02cei3ceq4-acjty5-acjq6-ai7c, 0, 0, 1540, obobo!3, B2-ae3aceiq4eijnz5jknq6ik7/S02cei3aejk4-knqty5acjny6k7e8, 0, 0, 506, obobo!3, B2-ae3aeiqr4acijnqz5ce6i7e/S02cik3ek4ceijqy5ackr6n7e8, 0, 0, 736, obobo!3, B2cik3aeiq4inqrw5cnq6eik/S02cei3aej4-cqt5aekn, 0, 0, 527, obobo!3, B2-ae3aceiq4ceijnqw5cjy6cei8/S02cei3ek4cejnqy5acry6c7e, 0, 0, 220, obobo!3, B2cik3-jkny4eijnw5cej6ik7e8/S02-ak3eqr4cenrwy5ceiqr6akn7e, 0, 0, 862, obobo!3, B2cik3aeiq4cjnqrw5ceky6cik7e8/S02cei3ejnr4-kntyz5-ijkq6ae7, 0, 0, 684, obobo!3, B2-an3-jkny4inw5cjkn6i7e8/S02cik3ekr4ceijkwz5ceky6ace7e, 0, 0, 294, obobo!3, B2-ae3aeiq4eijnq5jky6-ae7e8/S02-an3aceq4aeinrwy5-ikqr6ekn8, 0, 0, 420, obobo!3, B2-ae3aceiq4inq6in8/S02cei3-ijky4ejqrwy5-acn6ack7e, 0, 0, 244, obobo!3, B2cik3-jkny4cenq5ae6-an7c8/S02cei3ejk4einqz5-ackn6c8, 0, 0, 304, obobo!3, B2-ae3aceiq4eijnqrw5eq6-an/S02cei3ejk4-actyz5cikqy6ckn, 0, 0, 2998, obobo!3, B2cik3aeiq4aijn5ejq6i7e/S02ci3ek4acekqyz5iqy6c7e, 0, 0, 330, obobo!3, B2-ae3aeijq4ceinrw5jk6eik7c/S02cei3e4-tw5ceijr6cn7e, 0, 0, 348, obobo!3, B2-ae3aeiq4enz5cjk6cei7c/S02cei3aejkq4aejryz5-cknq7c, 0, 0, 1710, obobo!3, B2cik3aeiqr4cjnqz5jknq6cik7/S02cei3ae4-ijntw5iknry6aek7c8, 0, 0, 510, obobo!3, B2cik3aeiqr4ceinqrz5aq6ein8/S02cik3en4-aqtwz5-eky6en7e8, 0, 0, 1530, obobo!3, B2cik3aceiq4cejnrw5kny6ik8/S02ci3cenr4-knqtz5aejqy8, 0, 0, 746, obobo!3, B2-ae3aeiqr4einqrw5cey6-a7e/S02cei3aejkq4aeqwz5acejn6k7e, 0, 0, 334, obobo!3, B2cik3aeiqr4cinqrw5cky6in7c/S02ci3aejkn4-artwy5-cekq6ckn7c8, 0, 0, 354, obobo!3, B2-ae3aeiqr4ceinqrw5cjkny6i78/S02ci3aejn4aceqrw5-ikqy6cn7e8, 0, 0, 1314, obobo!3, B2cik3-ckny4ceinr5cekq6in7c/S02ci3ejqr4-intw5-aqry6-ci8, 0, 0, 498, obobo!3, B2cik3aeiqr4ijnqwz5ejkn6cin7c8/S02-an3aceqr4ceikqwy5ekny6-in, 0, 0, 222, obobo!3, B2-ae3aeiqr4anz5ejn6ei7e/S02cik3ejr4aeinry5-cey6ckn8, 0, 0, 340, obobo!3, B2-ae3aeiq4jnqr5n6cik8/S02ci3ejnq4aceiqr5cenq6ck7, 0, 0, 220, obobo!3, B2-ae3aeiqr4jnq5c6in8/S02ci3-inry4aeiqryz5-iqr6a, 0, 0, 879, obobo!3, B2-an3aceiq4cijnrw5cj6ei8/S02ci3cenq4eiknqry5-eqr6-ei7e8, 0, 0, 262, obobo!3, B2cik3aeijq4einz5enqy6-a7c8/S02cin3ejkn4ceinqy5cijqr6ace7e8, 0, 0, 336, obobo!3, B2-ae3aceiq4aeijnqr5knq6i78/S02cei3er4acejr5jqy6en8, 0, 0, 726, obobo!3, B2-ae3aeiq4cinqw5k6cei7e8/S02cin3aejk4eiry5cek6ck7, 0, 0, 484, obobo!3, B2-a3aeiq4einw5ceqy6-ae78/S02cin3ej4aceknrw5eijnq6k7c8, 0, 0, 482, obobo!3, B2-ae3-kny4inq5cjqy6cik7e/S02ci3aejqr4ceijkqz5ce6-ci78, 0, 0, 346, obobo!3, B2cik3aceiq4eijnr5acekn6cin78/S02-ae3ejkn4eijnwy5ceiky6a7c, 0, 0, 280, obobo!3, B2-ae3-jkny4ijnqw5ajy6-a7c/S02-ae3ej4eqry5ajnr6ck7e8, 0, 0, 320, obobo!3, B2-an3aeiq4ceijnqr5cejy6ei7/S02ci3ejnr4-iqrtz5-aknr6ak78, 0, 0, 734, obobo!3, B2cik3aeiq4aeijnqr5-air6-an/S02cei3ejkr4aceikn5aci6n8, 0, 0, 448, obobo!3, B2cik3aeiqr4jnqz5eknqy6i7e8/S02cin3acej4ceqwz5-eijn6ace7e, 0, 0, 222, obobo!3, B2cik3aeiq4cejnz5cqy6-an7e/S02cik3aeqr4ceikq5-cir6ckn8, 0, 0, 451, obobo!3, B2-ae3aeijq4inqr5ce6i78/S02-ak3-aciy4-cnqt5ij6ek78, 0, 0, 270, obobo!3, B2cik3-ckny4jnr5knqy6cik/S02cin3aceq4-nrtyz5aky6ek7, 0, 0, 334, obobo!3, B2-ae3aeiq4ceinrz5cjknq6ei7e8/S02cin3cejkr4aerwy5ijkry6ck78, 0, 0, 452, obobo!3, B2cik3aeiq4anrw5ack6cik/S02ci3-ciny4ceknqrz5cq6-in7e8, 0, 0, 278, obobo!3, B2cik3aeiqr4inqw5jkqy6ei8/S02ci3aen4ekwyz5-ak7, 0, 0, 427, obobo!3, B2-ae3aeiq4cnqr5nq6i7e8/S02cei3aejkn4aejknqw5ceqr6e78, 0, 0, 374, obobo!3, B2-ae3aeiq4acjnr5-aikr6-a7/S02ci3ejr4aceiwz5jr6en78, 0, 0, 642, obobo!3, B2cik3aeiqr4einrz5any6cei78/S02-ak3ejnr4cejkrwz5acjkn6cen78, 0, 0, 1125, obobo!3, B2-ae3aeiq4aeijn5c6cei7c/S02-ak3ekr4-cktwy5-anry6-ai8, 0, 0, 1560, obobo!3, B2cik3aeiqr4cenqrw5cj6-ac7c8/S02cei3ejknr4cejkq5eijq6-ik7e8, 0, 0, 304, obobo!3, B2cik3aeiq4acenrw5cej6ik8/S02cin3aeqr4aceinq5cinry6-in7e8, 0, 0, 594, obobo!3, B2-ae3aeiq4aeijnrw5cekq6-a7c8/S02cin3cejkq4aekry5acen6ekn7e, 0, 0, 300, obobo!3, B2-a3aeiq4enr5-iknr6cin7/S02cin3eq4einy5-ikry6ckn7e8, 0, 0, 320, obobo!3, B2cik3aceiq4enqz5ejkqy6cin/S02cei3ejr4ceijkqz5aiy6ckn8, 0, 0, 564, obobo!3, B2cik3aceiq4cenqr5eknqy6cei7e/S02cei3en4aejkryz5kny6ae8, 0, 0, 280, obobo!3, B2-ae3-jkny4jnqw5cen6cei7c8/S02ci3acejk4ceijry5-jnq6ce8, 0, 0, 1644, obobo!3, B2cik3aeijq4-akqty5acnq6-ak/S02ci3aceq4acenqz5ijry6ek7e, 0, 0, 232, obobo!3, B2-a3aeiqr4cenr5ejqy6eik7c8/S02ci3ejnq4eiqrz5acijq6-ai7e8, 0, 0, 286, obobo!3, B2cik3aeiqr4jnqrwz5jnq6-ak7e/S02-ak3cek4acejqz5ijnqr6akn7, 0, 0, 225, obobo!3, B2cik3aeiq4nr5cjk6eik7e8/S02-ak3-ciy4cer5akqr6ae7c8, 0, 0, 526, obobo!3, B2cik3aeiqr4eijnr5acekq6-ac7c/S02ci3aejkr4einrwy5-ajnq6ac7, 0, 0, 434, obobo!3, B2cik3aceiq4ijnq5jknq6-ac7e/S02cin3ejnr4ceijry5-eknq6aen7e8, 0, 0, 237, obobo!3, B2-an3aeiqr4ejnw5cejkn6-ac7e8/S02cin3ejq4ekwyz5iky6ekn78, 0, 0, 450, obobo!3, B2cik3-jkny4enz5ejnq6ik7e8/S02ci3aeq4einryz5ak6ak8, 0, 0, 694, obobo!3, B2cik3-jkny4ijnqwz5cekn6cin7/S02cin3ejkn4cejnqwz5-aeqr6ac7c, 0, 0, 290, obobo!3, B2-ae3aeiqr4cijnqrz5jknq6ci7e/S02cin3aejk4ejkqw5-cik6ekn78, 0, 0, 613, obobo!3, B2-ae3aeiqr4cin5cenq6-an/S02ci3e4eiryz5-knry6ack, 0, 0, 324, obobo!3, B2cik3aceiq4acein5ejy6ei7c/S02cik3ekqr4aeijqr5aiky6aek7c, 0, 0, 301, obobo!3, B2-ae3aeiqr4ejnqw5acj6in/S02ci3aer4-rtwz5cjkn6a7e, 0, 0, 549, obobo!3, B2cik3aeiq4ceijnz5jq6ein7e/S02ci3-aiqy4aekqyz5eikqy6ack, 0, 0, 252, obobo!3, B2cik3aceiq4inrwz5-cijr6eik7/S02ci3aejkr4-nrt5aen6k, 0, 0, 240, obobo!3, B2cik3aeiqr4inq5ekq6in8/S02-ak3cenq4ceqrwy5-ckn6-ai7e, 0, 0, 582, obobo!3, B2cik3aeiq4acijn5cjq6in78/S02ci3ejnr4aceinw5ceiqy6ce7c8, 0, 0, 320, obobo!3, B2-ae3aceiq4ceinrz5cj6ci7c8/S02ci3cejq4ekwyz5cnq6n7c, 0, 0, 276, obobo!3, B2-ae3aeiqr4cinr5acj6ei7/S02cei3ace4-kntyz5aeiqy6k7e8, 0, 0, 232, obobo!3, B2cik3-knry4nq5jqy6-ak7e8/S02ci3-ainy4aceiry5eiq6-ei78, 0, 0, 408, obobo!3, B2-ae3aceiq4jnqw5cejn6-a/S02cin3aej4aceiqr5ckr6e7e, 0, 0, 256, obobo!3, B2cik3aeiqr4acenqrz5cekqy6-ae78/S02cei3ae4cejkr5-aqry6ak78, 0, 0, 278, obobo!3, B2cik3-jkny4acinr5cknq6-an7e/S02cin3ejqr4acejnwz5eiqr6ace7e, 0, 0, 568, obobo!3, B2-ae3aeiq4-ackty5ckq6ci7c8/S02cei3ejnq4eknwyz5acinr6cn78, 0, 0, 1220, obobo!3, B2cik3aceiq4ceinqr5-iqr6i78/S02cei3ejkqr4aejkqrz5ceknq6aek7c8, 0, 0, 532, obobo!3, B2cik3aeiqr4cein5cjny6ik7c/S02cik3aeq4-artwz5cjkq6-i7, 0, 0, 398, obobo!3, B2cik3aeiqr4cinqw5ejnq6-ak7e8/S02-ak3aejkn4aceiqry5ajn6ak7e8, 0, 0, 1560, 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B2-ae3aceiq4eijnrz5aejq6-ac7e8/S02ci3eqr4aejrwyz5acein6ce7c8, 0, 0, 464, obobo!3, B2cik3aeiq4acenqrz5acqy6-an78/S02-ak3ej4aeqz5cinq6-in78, 0, 0, 242, obobo!3, B2cik3aceiq4ceijnr5ckq6in/S02-ak3ceknr4-ainrt5-jqr6ace8, 0, 0, 242, obobo!3, B2-ae3aceiq4eijnr5e6cin8/S02cei3cejkr4aerwy5cy6ce8, 0, 0, 238, obobo!3, B2-ae3aeiqr4cinrw5cejkn6-ae78/S02cei3aceqr4enqyz5ijny6ac7e8, 0, 0, 224, obobo!3, B2cik3-jkny4einr5j6ci/S02cin3cejkq4-jkqt5cjkry6ak78, 0, 0, 238, obobo!3, B2-ae3-jkny4einqrz5acj6-ak7c8/S02ci3acek4eijryz5-j6cek7c8, 0, 0, 554, obobo!3, B2-a3aeiqr4einrwz5eky6cei7/S02cik3cekr4-ajrtz5eikr6cen7c8, 0, 0, 253, obobo!3, B2cik3-jkny4ceijnw5cjkn6ein/S02cin3cejk4aeijknz5eiqy6ae7e, 0, 0, 708, obobo!3, B2cik3aeiq4enw5nq6i8/S02-an3ekn4-krtyz5aciqr6cek7e8, 0, 0, 230, obobo!3, B2cik3-jkny4cinrw5ej6cei7e/S02ci3-ikny4eijknwy5iqry6e7e, 0, 0, 316, obobo!3, B2cik3aeiq4inqz5-iqr6ci78/S02-an3eq4-jtwy5aiy6n7e8, 0, 0, 257, obobo!3, B2-ae3aeiqr4nqz5ky6eik7e8/S02cei3-cijy4acekqr5ijkq6aen7c, 0, 0, 234, obobo!3, B2-ae3aceiq4cjnqrz5cen6-ae7c/S02-ak3e4cekqyz5-ceqr6cn7, 0, 0, 576, obobo!3, B2cik3aeiq4-ackty5cey6cin78/S02cik3-iny4ceiqr5acenq6-ai78, 0, 0, 390, obobo!3, B2cik3aceiq4einr5acey6cei7c/S02cik3ejq4ceiknwy5cenq6aen7c8, 0, 0, 340, obobo!3, B2cik3aeiq4ceijnz5ae6ei7c/S02ci3acejq4aeijkry5cnr6e7e8, 0, 0, 224, obobo!3, B2-ae3aeiqr4jnqrw5ejq6-an7c/S02cin3-inry4ceqrz5ceikq6ack, 0, 0, 368, obobo!3, B2-an3-jkny4cnq5cknq6ei78/S02ci3acer4eikqwyz5ceknq6cen8, 0, 0, 278, obobo!3, B2cik3aceiq4aenqr5eky6i7e8/S02ci3-ciny4einz5-aeny6-ai7e, 0, 0, 240, obobo!3, B2-an3aeiq4ceinqrz5-air6ei7e/S02ci3ekqr4eiqrwy5aqy6ack7e, 0, 0, 270, obobo!3, B2-ae3-jkny4cejnqrw5ky6-ak7/S02cei3aek4ceikryz5cejkn6cen7e8, 0, 0, 1036, obobo!3, B2cik3aceiq4eijnqr5cjq6ci78/S02cin3-iqy4eirwy5nqry6cn7, 0, 0, 250, obobo!3, B2cik3-jkny4inqr5an6ein/S02-ae3ek4-aityz5-eiy6kn7c8, 0, 0, 231, obobo!3, B2cik3-jkny4cinqr5any6i/S02cei3ae4acenq5cejry6en7e, 0, 0, 236, obobo!3, B2cik3aeiq4cein5ae6eik/S02-ak3ceq4eijkqr5nqry6ck7e8, 0, 0, 238, obobo!3, B2-ae3aeiq4acinqwz5nq6-ae/S02cei3acej4ejnqw5ejkr6-ei78, 0, 0, 254, obobo!3, B2cik3aceiq4enqrz5cekqy6cik7e8/S02cei3ceq4-akqrt5-cikn6aen78, 0, 0, 460, obobo!3, B2-ae3aeiqr4cinqw5ckqy6ci7c8/S02cin3ae4eikwz5-jnr6-ci78, 0, 0, 228, obobo!3, B2-ae3aceiq4cenqr5aenqy6cik7c/S02cei3aejqr4ejrw5-eij6cn78, 0, 0, 1569, obobo!3, B2-ae3aceiq4cinr5j6eik7e8/S02cik3ekr4ceknrwz5-nq6cn7e8, 0, 0, 428, obobo!3, B2-ae3-jkny4-aktwy5cjny6eik8/S02ci3acekn4eknqy5acej6c7c, 0, 0, 468, obobo!3, B2-ae3aceiq4ijnrz5aky6ein7e/S02cei3-airy4ejwz5-cjkq6ce7e, 0, 0, 460, obobo!3, B2-an3aeiqr4einqrwz5jy6ci/S02cin3cejk4ceijkz5acjny6ce8, 0, 0, 984, obobo!3, B2-ae3aeiq4ejnrz5ek6ikn78/S02ci3acekn4cenqw5acnqy6-ci78, 0, 0, 259, obobo!3, B2cik3aeiq4enqrw5aj6-an7/S02cei3ceknq4-ckntz5-aer6ace7c, 0, 0, 236, obobo!3, B2cik3aeijq4ijnq5ejy6ikn7/S02cei3ejnr4ceiqrwy5iqry6ek7c8, 0, 0, 348, obobo!3, B2cik3aceiq4ijnqw5cejk6-ae/S02cei3acejr4cekqwz5-aqr6-i7e, 0, 0, 765, obobo!3, B2-ae3aceiq4ijnw5ceq6cik7/S02cin3cen4aceijn5-knqr6c, 0, 0, 2650, obobo!3, B2-an3aceiq4ejnrwz5cej6-ak7c/S02cei3cejqr4aceinz5eiknq6-ei7, 0, 0, 252, obobo!3, B2-ae3aceiq4einr5cjqy6eik/S02cin3ejkq4aerwyz5aejky6k7e, 0, 0, 322, obobo!3, B2-ae3aeijq4cijnr5cekq6cei8/S02cin3ejq4aeiknyz5ceqr6ace7e8, 0, 0, 516, obobo!3, B2cik3aceiq4acinrz5cknqy6-ak8/S02cei3e4eknz5aeijy6k78, 0, 0, 374, obobo!3, B2cik3aceiq4aceinz5j6cik/S02-ak3ceq4acery5cikqy6k78, 0, 0, 324, obobo!3, B2-ae3-jkny4cjnqrw5ejkn6-an7c/S02cei3aceqr4-aintz5-n6ekn7e, 0, 0, 228, obobo!3, B2cik3aeiqr4cinr5ek6cei8/S02-ae3aejq4aeiknz5-cr6kn78, 0, 0, 2520, obobo!3, B2-ae3aeiqr4inqw5en6ikn7e8/S02cei3aekq4aceinq5-ikr7e8, 0, 0, 504, obobo!3, B2-an3aeiq4einr5aceky6cik7e/S02ci3cen4-aktz5aeiky6n7e8, 0, 0, 842, obobo!3, B2cik3aceiq4inqrz5jky6ein78/S02cin3-iry4aeiryz5ijqr6ck7e8, 0, 0, 338, obobo!3, B2cik3aeijq4cijnz5cjkn6in7c8/S02ci3-ijky4-anqrt5acqry6kn8, 0, 0, 274, obobo!3, B2cik3aeiq4cjnqw5ejknq6cei/S02cik3aer4-nqtwy5anr6c7, 0, 0, 306, obobo!3, B2-ae3aeiqr4eijnqw5ejkn6in7e/S02cei3ekq4cenwz5aekry6ck7e, 0, 0, 470, obobo!3, B2cik3aeiq4eijn5aj6ei7e8/S02cik3ejqr4eknwy5ceik6aen7e8, 0, 0, 310, obobo!3, B2cik3aeiq4inqrw5ckny6in78/S02-ak3ejknr4-aknrt5ijknq6cn7c8, 0, 0, 222, obobo!3, B2cik3-jkny4cjnr5aeky6-a7c8/S02cei3eq4acej5eiqry6ce7c8, 0, 0, 302, obobo!3, B2-ae3aeiqr4cijnr5cj6eik7e/S02cei3aekn4ceiknwy5aijky6a7c8, 0, 0, 2039, obobo!3, B2cik3aceiq4eijnw5eknqy6eik7/S02-ae3ceknr4eijknyz5acei6-ci78, 0, 0, 362, obobo!3, B2cik3aeiqr4ijnz5cy6ci7c/S02cei3ejk4cejnwz5-nq6aen8, 0, 0, 260, obobo!3, B2cik3-jkny4ejnqrz5ajy6-a7e/S02cin3aej4ceijkr5cijr6ack7, 0, 0, 300, obobo!3, B2-an3aceiq4ijnq5cnqy6ikn/S02cik3cen4acer5acin6en7e8, 0, 0, 268, obobo!3, B2cik3aceiq4einz5aeny6ci/S02-ak3ek4-cnrtz5ejnq6-ci7c8, 0, 0, 238, obobo!3, B2-ae3aeiq4cjnqrz5cjny6-ak7e/S02cin3ceq4aceikq5-acny6-ei7c, 0, 0, 236, obobo!3, B2-ae3-jkny4ceijnr5cjkqy6-an7e/S02cei3acekq4acewz5-jn6cen, 0, 0, 320, obobo!3, B2-ae3aeiq4ceinqw5ejkny6-a7e8/S02cei3cenqr4-cntwz5-ajkn6ekn7e8, 0, 0, 248, obobo!3, B2cik3aceiq4cjnrz5cjky6cik7/S02cin3aej4acejkr5-ij6en7e8, 0, 0, 529, obobo!3, B2cik3aceiq4einr5aejn6cin78/S02cei3aeq4acejkwy5-ckqr6ak7e8, 0, 0, 437, obobo!3, B2cik3aceiq4cjnr5ekny6cei7e8/S02cik3ejq4cekny5-ceik6ekn8, 0, 0, 340, obobo!3, B2-an3aeiqr4cinqrw5cj6i7e/S02cin3aeknr4aeijrwy5ejnqy6e8, 0, 0, 226, obobo!3, B2-ae3aeiq4eijnq5jn6ein7c/S02-ae3ekqr4ceijknz5ainry6an78, 0, 0, 241, obobo!3, B2cik3aeiqr4aceinqr5acjn6ik7/S02cei3ejk4ceijnrw5ir6-in7c, 0, 0, 468, obobo!3, B2-ae3-jkny4ceijn5cjk6ci7c8/S02cin3acejk4eijqry5aeqy6kn7c, 0, 0, 338, obobo!3, B2cik3aceiq4ainqrw5ejn6eik7c8/S02ci3aek4-jqrtz5ejnry6ek, 0, 0, 319, obobo!3, B2cik3-jkny4einw5cekq6ci7e/S02ci3aejn4aeijny5eq6-i7c8, 0, 0, 650, obobo!3, B2-an3aeiqr4jnqrz5cejkn6eik7e/S02ci3ejkn4aeiky5iqr6ek7, 0, 0, 618, obobo!3, B2cik3aeijq4-aktyz5cjkny6eik/S02cin3ejkr4aceyz5-r6e7e8, 0, 0, 230, obobo!3, B2-ae3aeiq4ceijnrz5cq6i7c8/S02-ak3cenr4-airt5aeiry6en7, 0, 0, 531, obobo!3, B2cik3aeiqr4cinr5ejn6-a7c8/S02cei3ceknq4-iknrt5-ekry6cn7e8, 0, 0, 332, obobo!3, B2cik3aeiq4acnrz5cy6-a7/S02cei3ce4-intwy5kqy6e7e, 0, 0, 384, obobo!3, B2cik3-jkny4ijnqw5cjny6in/S02-ak3ejnqr4-aijtz5aikn6cen7c8, 0, 0, 2734, obobo!3, B2-ae3aeiq4jnqw5aejk6-ak7e8/S02-an3er4aceikqw5-cekq6ak7e8, 0, 0, 220, obobo!3, B2-ae3aeiqr4cjnqrz5cjk6-ae/S02cin3cenq4eijwy5acikr6-i8, 0, 0, 375, obobo!3, B2-ae3aeiq4ceijn5ajkq6ein7e8/S02-ak3cej4-aiqty5ijqy6-in7e, 0, 0, 1868, obobo!3, B2cik3aeiqr4eijnw5an6cin7e8/S02cei3aej4aceikrw5aeq6c78, 0, 0, 490, obobo!3, B2cik3aeiqr4aeinqr5ceknq6-an78/S02cik3eq4eir5aeijr6c7e, 0, 0, 220, obobo!3, B2cik3aceiq4cinz5aej6cik7e/S02-ak3e4ceinrz5cnqry6-ei7c8, 0, 0, 236, obobo!3, B2-ae3aeiq4einqrz5a6cik7e8/S02cei3-aciy4acejwyz5ceij6aen7c8, 0, 0, 430, obobo!3, B2-ae3-jkny4cinrw5cjq6-a7e/S02cei3ekr4ejknwz5aiqr6c7e8, 0, 0, 459, obobo!3, B2-ae3aceiq4cenq5ejn6eik/S02cei3aejn4eknwz5aen6ak7c8, 0, 0, 528, obobo!3, B2-ae3aceiq4aeijnqr5jkn6i7e/S02cei3cejnq4erz5iknq6ek7e, 0, 0, 285, obobo!3, B2cik3aceiq4ceinqw5jkn6-ae8/S02cei3ceq4aenry5air6c7e, 0, 0, 246, obobo!3, B2-an3aeiq4cenrz5aceky6-ak/S02cin3ekq4eijkr5ajkny6aen7e8, 0, 0, 382, obobo!3, B2cik3aeiq4cinw5ejky6ci78/S02cin3cekqr4ceknq5air6c7e8, 0, 0, 234, obobo!3, B2cik3aceiq4ejnz5ckn6cin/S02-ak3cek4aceiw5-cj6n7c, 0, 0, 632, obobo!3, B2-ae3aceiq4cejnqrw5cjny6ci7c/S02ci3ejkq4cenwz5acejn6acn8, 0, 0, 278, obobo!3, B2-ae3aceiq4aeinr5ceq6i7c/S02cei3ekr4-cint5-akry6ekn, 0, 0, 429, obobo!3, B2cik3aeiq4ajnq5aeqy6ei7e/S02-ak3e4ekz5-ckqr6cek, 0, 0, 980, obobo!3, B2-ae3-jkny4cenqw5cjknq6ikn7e/S02ci3aejkn4acey5ik6ekn7, 0, 0, 428, obobo!3, B2-ae3aeiq4inqrw5cjnq6cin78/S02cei3-ainy4-ijntz5aiqry6aek7e, 0, 0, 760, obobo!3, B2cik3aeiqr4cejnqrw5aeq6cik/S02-ak3ae4-aknt5-eiy6ck78, 0, 0, 398, obobo!3, B2cik3-jkny4ceijnqr5cjky6-ac78/S02ci3acejk4-jkty5-aciy6ac78, 0, 0, 1330, obobo!3, B2-ae3-jkny4-ktwyz5cjky6cei7e/S02cik3ejkr4aeijqrw5aiky6ae78, 0, 0, 434, obobo!3, B2-ae3aeiqr4cinq5acey6ein/S02-an3cer4ceijrwz5-cenq6aek8, 0, 0, 852, obobo!3, B2-ae3aeiq4cnrz5jknqy6-an7c/S02-an3cejqr4acejqyz5acijy6aek7e8, 0, 0, 234, obobo!3, B2-ae3-jkny4cijnr5cekn6ik/S02-ak3cek4cejnqy5aejkn6ce78, 0, 0, 378, obobo!3, B2-a3aeiq4ceijnr5cjny6eik7e8/S02cin3eqr4eijqz5cjq6ckn78, 0, 0, 1182, obobo!3, B2-ae3aeiqr4cinz5cekq6-ak7c8/S02-ak3ejkn4ceijqy5aejr6cen7c, 0, 0, 502, obobo!3, B2-ae3aeiq4eijnw5ey6-ae7/S02cin3ejkn4aeijnrw5ciknr6aek8, 0, 0, 266, obobo!3, B2cik3-jkny4cejnqr5-acir6ei8/S02ci3cekq4-acint5ejk6ak7e, 0, 0, 646, obobo!3, B2-ae3aeijq4ijnqz5cqy6ein7c/S02-ae3cekqr4aceiknw5ceiny6a, 0, 0, 286, obobo!3, B2-an3-jkny4enqrw5ceny6ci7e/S02ci3cejqr4cejwyz5eijn6ace7c, 0, 0, 266, obobo!3, B2cik3aeiq4cenrwz5aknqy6cei7e/S02cik3cekq4ceijwyz5-aiqr6ce78, 0, 0, 1952, obobo!3, B2cik3-jkny4einqrz5-eijr6-ae7/S02cei3aeqr4-acitw5nqr6ekn7e, 0, 0, 378, obobo!3, B2cik3-jkny4ceinr5cj6ei8/S02cei3aejnq4ceikrw5-aekq6-in7c, 0, 0, 256, obobo!3, B2-ae3aceiq4inqrw5ej6cik7c/S02cin3ceq4aenrwz5eiknr6-ci78, 0, 0, 688, obobo!3, B2cik3aeiqr4ceinrwz5ajn6ein7c/S02-ak3aceq4eknqr5eir6an7e, 0, 0, 310, obobo!3, B2-ae3aeiq4einqr5acjq6i7c8/S02cei3aejkn4aeiqw5-enqr6cn, 0, 0, 466, obobo!3, B2cik3aeiq4-aekty5acjqy6ikn/S02cik3ekr4aceijny5-cejn6ak7c8, 0, 0, 678, obobo!3, B2cik3aeiq4cnqr5acekq6ein7c/S02-ak3cejkn4enqry5-cejr6n8, 0, 0, 398, obobo!3, B2-ae3aeiqr4inqz5aejqy6cik7c8/S02cei3acekr4aen5ceir6ae7e, 0, 0, 376, obobo!3, B2-ae3aceiq4ceijnrw5ceq6-an7c8/S02cei3ae4-knrt5ejq6-ei7e8, 0, 0, 332, obobo!3, B2cik3aceiq4jnw5cejy6-ae7e8/S02ci3ace4cejnrwy5cey6ckn, 0, 0, 332, obobo!3, B2-ae3aeiqr4enqr5aejk6ein7c8/S02ci3ejr4-iktwz5ciqry6-i7c8, 0, 0, 468, obobo!3, B2-ae3aceiq4einrw5ejy6i8/S02cei3ekq4cejqry5iknq6ek7c8, 0, 0, 228, obobo!3, B2-a3aeiq4einrw5e6in7/S02cin3cer4-airtz5acikr6-ik8, 0, 0, 326, obobo!`
WADUFI
Sarp

Posts: 193
Joined: March 1st, 2015, 1:28 pm

Re: Smallest Oscillators Supporting Specific Periods

Wow! A new record: p5464
`x = 5, y = 1, rule = B2cik3-jkny4cijnqr5jk6ik7c/S02cei3aekn4-nqty5aijr6aek7eobobo!`

Keep them coming!

EDIT: This rule also has an 8-cell p1225:
`x = 1, y = 13, rule = B2cik3-jkny4cijnqr5jk6ik7c/S02cei3aekn4-nqty5aijr6aek7eo\$o\$o2\$o2\$o2\$o2\$o\$o\$o!`

Macbi

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

Re: Smallest Oscillators Supporting Specific Periods

Few more new oscilators
`3, B2-an3-jkny4cnqw5ceky6-ac/S02ci3ekn4eijrwyz5anry6ace, 0, 0, 328, obobo!3, B2cik3aeiqr4einr5-eikr6in/S02-ak3ejnq4aejrwz5ckqy6-ik8, 0, 0, 314, obobo!3, B2cik3aceiq4cnrz5ejnqy6-ak7e/S02-ae3-ainy4eqwz5ceijn6cek78, 0, 0, 394, obobo!3, B2-ae3aeiqr4ceinqw5jk6-ak7e8/S02cei3aeqr4ekry5cijkn6ce7e, 0, 0, 384, obobo!3, B2-a3aeiqr4nr5ejqy6ci7e/S02-ae3ejqr4ceinr5ai7, 0, 0, 776, obobo!3, B2-ae3aeiqr4cejnqr5akqy6-ae7c/S02cin3acejr4aceky5-r6cek7e, 0, 0, 254, obobo!3, B2cik3aceiq4ceinr5cejy6in7e/S02cin3aenqr4-aijtw5-ijn6ack7c8, 0, 0, 342, obobo!3, B2cik3aeiq4cijnrw5ejnqy6cik8/S02-ak3ae4cejkn5cej6n7, 0, 0, 246, obobo!3, B2cik3aeiqr4ijnqz5cjknq6ei8/S02ci3aejkr4-kqty5knqry6ek7c8, 0, 0, 220, obobo!3, B2cik3aceiq4ceinqrz5qy6in7c/S02cik3ejnr4einqrwz5-acqy6k7c8, 0, 0, 242, obobo!3, B2-ae3aceiq4-ktwyz5jy6i7c8/S02cin3ej4aejknr5aijnq6ace, 0, 0, 301, obobo!3, B2cik3aeiq4acenq5eknq6eik7c8/S02cei3cenr4ejnqry5-aeq6-ik8, 0, 0, 702, obobo!3, B2-ae3aeiq4aceijn5cjnq6ikn8/S02ci3cejqr4aceirw5-ajq6ack8, 0, 0, 232, obobo!3, B2cik3aceiq4cinwz5jk6cin/S02cei3ekqr4eijnqyz5-acn6ckn8, 0, 0, 425, obobo!3, B2-ae3aeiq4cinqz5aejqy6eik7c8/S02cik3ejkqr4ceijwz5-eijk6-i7c8, 0, 0, 352, obobo!3, B2cik3aeijq4cinw5-ainr6i7c/S02-ak3ejkn4cekyz5-acj6k8, 0, 0, 444, obobo!3, B2-ae3aeiq4cejnqrw5ejkq6i/S02cin3cejq4aceijkq5-enqr6n7, 0, 0, 378, obobo!3, B2cik3aeiqr4aeinw5k6ikn7e8/S02-ae3ejk4aeqrw5-ejkn6en7c, 0, 0, 1002, obobo!3, B2cik3aeiq4acinwz5cejkq6i78/S02cin3-inry4ejkr5acjqr6a7c8, 0, 0, 226, obobo!3, B2-ae3aeiqr4inqz5ek6-ae/S02-ae3acejk4aeiknr5acjy6an8, 0, 0, 700, obobo!3, B2cik3aeiqr4cjnqz5cejky6eik7e/S02-an3ej4cejkwy5-jnr6an78, 0, 0, 603, obobo!3, B2cik3aceiq4enqz5aekn6-ae78/S02-ak3en4aceiqy5cik6cn7e, 0, 0, 712, obobo!3, B2cik3aeiq4cejnqrw5cjy6in7e8/S02cin3-airy4acejkr5aeiq6ae7e, 0, 0, 334, obobo!3, B2-an3aeiq4ceijnw5jq6-an/S02ci3cejnq4aceikn5-acr6ace7e8, 0, 0, 247, obobo!3, B2cik3aeiqr4enrz5acqy6i78/S02ci3cekn4aejz5ae6ck7e8, 0, 0, 256, obobo!3, B2cik3aeiqr4ijnqr5ackn6cei7e/S02ci3en4-jqrt5-nqr6ac7c, 0, 0, 559, obobo!3, B2cik3aeiqr4aceinr5jky6cik7e8/S02ci3-ijry4eijqrz5-ceir6n7c8, 0, 0, 230, obobo!3, B2cik3aeiqr4jnw5aenq6cin8/S02ci3ejkq4ceiry5-eknq6e78, 0, 0, 242, obobo!3, B2cik3aeiq4jnqwz5ackn6-ac8/S02ci3aej4ejknry5ainr6e, 0, 0, 510, obobo!3, B2-ae3aeiq4nqw5-ainr6ein7c8/S02cei3ae4eijknry5-ejkn6k, 0, 0, 568, obobo!3, B2cik3-ckny4ijn5ckqy6cin8/S02cik3ekr4aeinqr5cik6k7, 0, 0, 332, obobo!3, B2cik3-kny4cijnqrz5cy6ein8/S02cin3-aciy4einrwyz5-eqy6k7c8, 0, 0, 844, obobo!3, B2-ae3-jkny4nrz5eknq6-ae7c8/S02ci3ejk4aceiqrw5aeijn6ck, 0, 0, 259, obobo!3, B2cik3aeiq4nqrz5knqy6ik8/S02-ak3aen4aceijkq5aeiky6ae8, 0, 0, 220, obobo!3, B2-ae3aeiqr4inqrw5eny6cik7e/S02cin3cejq4cejnqwy5enq6a7e8, 0, 0, 288, obobo!3, B2-a3aeiq4inqwz5cenq6i7/S02cin3ekq4aejqw5cqy6ace7e8, 0, 0, 244, obobo!3, B2-ae3-jkny4einqr5-ciry6-an7c/S02cei3ej4aekqrwz5iknq6-in7e8, 0, 0, 306, obobo!3, B2cik3aeiq4cinrwz5knqy6cin7c8/S02-ae3ekr4einqrwy5acnqy6ck8, 0, 0, 444, obobo!3, B2-ae3aeiqr4ijnqrz5cn6-ak7e8/S02-ak3ejkn4ew5ejry6ekn7e8, 0, 0, 262, obobo!3, B2cik3aeiq4acinrw5ny6ci8/S02-ae3cer4acekq5aeiny6ckn7c, 0, 0, 332, obobo!3, B2cik3-jkny4ijnqw5ejqy6-ak7e8/S02ci3ejknq4-itwyz5eikn6an7c8, 0, 0, 478, obobo!3, B2-ae3aeiq4ceinrw5-ikry6eik7c/S02cei3-airy4aejqwyz5ajq6k7c8, 0, 0, 416, obobo!3, B2cik3aceiq4ijnq5jkny6in8/S02-ae3acek4erwy5-jy6-ik7e8, 0, 0, 342, obobo!3, B2cik3aeiqr4-akty5acejq6ci7c8/S02cei3ejr4acenw5-aejn6-in7c8, 0, 0, 364, obobo!3, B2-ae3aeiq4ceinqr5acjky6-ae7/S02ci3cejnr4acekry5-eikn6ekn7e8, 0, 0, 350, obobo!3, B2cik3aeiq4cnrz5ekn6-an7e/S02cei3cejn4ceinw5-anr6kn78, 0, 0, 636, obobo!3, B2-ae3aeiqr4jnrz5ejq6cik8/S02ci3acek4-jntwz5ac6n, 0, 0, 572, obobo!3, B2cik3aeiqr4ijnqrw5-aeir6eik7e8/S02cik3er4-knrtw5-ikr6ack7e8, 0, 0, 1908, obobo!3, B2-ae3aceiq4ceijn5y6ein7c/S02cei3cejnq4acejwyz5ai6cek7e8, 0, 0, 310, obobo!3, B2-ae3aeiq4cinqw5knqy6ik7e/S02-ak3ejnr4-jnrtz5ejnq6k7c, 0, 0, 240, obobo!3, B2-ae3aeiqr4cenqz5jkq6-a7c/S02cei3cekn4acenryz5-aqry6-ai7c, 0, 0, 363, obobo!3, B2-ae3-jkny4cijnq5jny6-ak/S02cei3acenr4einrz5cjkq6a7e8, 0, 0, 370, obobo!3, B2cik3aeiq4eijnrwz5kq6ik7c8/S02ci3aer4ceknqwz5-aejn6ckn7c, 0, 0, 308, obobo!3, B2cik3aeiq4-cktwy5aq6cei7e/S02cei3ejq4ekqyz5-anq6n7e, 0, 0, 524, obobo!3, B2-ae3aeiqr4acijn5enqy6cei7c/S02cin3ejq4ceknw5-aejr6c7e, 0, 0, 221, obobo!3, B2cik3aeiqr4acjnqr5cejkn6in78/S02cin3aejkr4ei5jknr6c7e, 0, 0, 438, obobo!3, B2cik3aeiq4einqrwz5aejn6-a7e/S02cin3ejkqr4aeijnr5-acn6ce7e, 0, 0, 480, obobo!3, B2-ae3aeiq4cinw5ackn6-an7e/S02-ak3ej4acejknq5acjk6aen, 0, 0, 1044, obobo!3, B2cik3-jkny4eijnqr5ny6-ac8/S02cik3cekq4aeijk5eikn6cn78, 0, 0, 638, obobo!3, B2-an3aeiq4enq5aceqy6ci7c8/S02ci3aeq4-jrt5eiqry6ac7e, 0, 0, 248, obobo!3, B2-ae3aeiqr4nq5ejk6ikn7c/S02-ak3ejnqr4eiknrwy5ijnqy6c78, 0, 0, 224, obobo!3, B2cik3-ckny4cinz5cjkn6ei7e/S02ci3cejkn4-qtwy5-nr6n7e, 0, 0, 310, obobo!3, B2-ae3-jkny4einqrw5cejn6-ak7c/S02ci3cejkq4eikyz5eijkr6cen7c8, 0, 0, 564, obobo!3, B2cik3aceiq4acinqrz5ce6ei/S02cin3aceqr4cekry5ekn6kn8, 0, 0, 626, obobo!3, B2-ae3aeiq4cinrz5cn6eik7e8/S02-ak3acen4-artw5er6akn8, 0, 0, 421, obobo!3, B2-a3aeiqr4cnqw6ci7c/S02cin3cejq4cejnr5-jky6ck, 0, 0, 672, obobo!3, B2-an3aeiq4einrwz5nqy6cin78/S02cik3ejknr4aceijry5aeny6ekn7, 0, 0, 272, obobo!3, B2cik3aceiq4ceinqrw5cjq6ikn8/S02-an3ejkr4eijnz5ijy6-ik8, 0, 0, 818, obobo!3, B2cik3aeiq4aejnq5-iknr6-an7e/S02cei3ejr4cekqry5eknqr7c8, 0, 0, 242, obobo!3, B2-ae3aceiq4aeinqr5n6-ak7c8/S02ci3ejknr4acewy5aceik6aek7c, 0, 0, 222, obobo!3, B2-ae3aeiq4cjnqrwz5cej6-ak/S02ci3aejkq4ceik5einy6e7c, 0, 0, 270, obobo!3, B2-ae3aeiqr4enrw5an6-ae7e8/S02cei3cekqr4eqry5einy6-ik7, 0, 0, 1188, obobo!3, B2cik3-jkny4inr5nqy6-ae/S02-ak3aej4acejnry5-acny6ace7e, 0, 0, 221, obobo!3, B2cik3aeiq4jnqw5cknq6-a7c8/S02cei3e4ceiq5y6cek7c8, 0, 0, 418, obobo!3, B2cik3aeiq4enqwz5aenqy6-a7/S02cin3ace4-akntw5acnry6acn7e, 0, 0, 794, obobo!3, B2cik3aeijq4einqw5cq6cei78/S02cei3ae4-acint5y6ek, 0, 0, 390, obobo!3, B2-ae3-ckny4cinqz6-a7/S02ci3er4-akntz5-acey6cek7c8, 0, 0, 276, obobo!3, B2-ae3-jkny4ejnr5ejny6cei8/S02-ae3aeq4ceijnry5aciqy6ack7e, 0, 0, 263, obobo!3, B2cik3aeiq4aeijnqr5knqy6in/S02cin3ace4aceikwz5j6c, 0, 0, 298, obobo!3, B2cik3aeiqr4ceijnr5aej6eik7/S02ci3aejnr4ceikqw5-q6ac7e, 0, 0, 1672, obobo!3, B2cik3aeiq4-aekty5kn6-a/S02cei3acer4ekwz5ceny6ace78, 0, 0, 494, obobo!3, B2-ae3aeiqr4ceinqr5jy6ci7/S02-ae3acejq4ceijny5aeinr6kn7c8, 0, 0, 234, obobo!3, B2cik3aeiq4cjnqw5akn6eik/S02ci3acek4-aqtw5jn6ak7e8, 0, 0, 268, obobo!3, B2cik3-jkny4einqwz5ajky6cik7e/S02ci3cenq4-atw5aeiq6-in7c, 0, 0, 250, obobo!3, B2-ae3aceiq4ceinqw5cekq6in7c8/S02-ak3ej4aeikqy5aeknq6en78, 0, 0, 777, obobo!3, B2-an3aeiq4cn5acek6ci7c/S02cin3ejr4-cnqrt5-aqr6cek7, 0, 0, 278, obobo!3, B2-an3aeiq4cjnq5cjknq6cik7e8/S02-ae3-aiqy4-aiqt5-jnq6ce, 0, 0, 416, obobo!3, B2cik3aeiq4eijnw5ejkqy6eik7c8/S02cei3cejkq4eiwy5cijnq6k, 0, 0, 292, obobo!3, B2cik3aeiqr4-ajkty5cenqy6-an/S02ci3ejkr4-ajkt5enqry6-ik78, 0, 0, 240, obobo!3, B2cik3aeiq4jnqr5cqy6cik7c/S02cin3aekq4-anqt5cijqr6k7e8, 0, 0, 254, obobo!3, B2-a3aeiqr4ceinr5cek6-ae/S02-ak3cejq4aceikwz5-cqry6aek78, 0, 0, 258, obobo!3, B2-a3aeiqr4enr5ejk6i/S02cin3aejkq4aeinqw5kqry78, 0, 0, 536, obobo!3, B2-ae3-ckny4jnqr5aekq6-a/S02ci3ejkqr4ceijr5-cjnq6ae78, 0, 0, 386, obobo!3, B2-an3aeiq4ceinqrz5jnq6eik7e/S02ci3eknr4cejnqz5qry6k7e8, 0, 0, 220, obobo!3, B2cik3aeiqr4inrz5cejny6in78/S02cin3aenqr4-aqtyz5cejkr6-ik7e8, 0, 0, 291, obobo!3, B2-ae3aeiqr4enz5ejk6ci/S02-an3ejkr4ewy5knqry6-i, 0, 0, 386, obobo!3, B2cik3aeiq4aeijnqr5cekny6eik8/S02-ak3cenqr4eijnwz5acjk6cn7e8, 0, 0, 454, obobo!3, B2cik3-jkny4ceinqrz5ejnq6i/S02-ae3ejk4-ckty5aekr6aek7e8, 0, 0, 351, obobo!3, B2cik3-jkny4jnqrz5cekn6-ac7/S02cin3er4-acjkt5aciry6cek8, 0, 0, 250, obobo!3, B2cik3-jkny4cijnqrw5ceky6-ac7c8/S02cik3cek4acejqry5ciknq6cn, 0, 0, 468, obobo!3, B2cik3aeiq4ceinz5qy6-ae7e8/S02cik3ejq4-cinty5-cknq6ce7e, 0, 0, 240, obobo!3, B2cik3-jkny4ceinqr5jknqy6i8/S02cik3ekn4-jktz5acejy6e8, 0, 0, 226, obobo!3, B2cik3-jkny4einqrwz5jq6-ae7e8/S02cin3cer4acejnqw5ceiry6-ik7c8, 0, 0, 318, obobo!3, B2cik3-jkny4einr5-iknr6-an7/S02-an3ej4-ciqt5-jnqr6c8, 0, 0, 286, obobo!3, B2cik3aeiq4cnz5ceky6-ac7e8/S02ci3-ikny4-cjnt5ejkny6e7e8, 0, 0, 304, obobo!3, B2-ae3aeiqr4ceijnq5ejn6-ac8/S02ci3ekqr4-inrty5-k6ae7, 0, 0, 462, obobo!3, B2-an3aeiqr4enqrz5eny6ci7e/S02cei3ekqr4ceirwyz5r6a78, 0, 0, 222, obobo!3, B2-ae3aeiq4jnrz5enq6eik/S02cei3-inqy4eqy5aikry6cek7e8, 0, 0, 722, obobo!3, B2-ae3aeiqr4ijnqrz5acjy6cik7c8/S02cei3ekq4-cjkqt5-acek6a8, 0, 0, 244, obobo!3, B2cik3aeijq4ijn5ac6-an8/S02-ae3ej4-ktyz5acijk6c7c, 0, 0, 475, obobo!3, B2cik3aeiqr4ceinwz5jknqy6-ae7c/S02-ak3ek4cejwz5ekny6a7e8, 0, 0, 229, obobo!3, B2cik3aceiq4ceijn5cknqy6cin8/S02cei3cen4acenq5iqy6n7, 0, 0, 340, obobo!3, B2cik3aeiqr4ceijnwz5kn6ei7e8/S02-a3cek4ekz5eikr6ak7c, 0, 0, 256, obobo!3, B2-an3aeiq4cjnqr5ckqy6cin7e8/S02-ae3acek4cejknqy5ceij6cen7c8, 0, 0, 442, obobo!3, B2-ae3-jkny4eijnqr5cejkn6-a/S02-ak3eqr4ceijnrw5ceknq6en7e8, 0, 0, 466, obobo!3, B2-an3aeiq4cjnw5e6i7e/S02ci3e4ace5any6c7e8, 0, 0, 242, obobo!3, B2cik3aeiqr4cinqrz5aej6cin7e8/S02cik3aek4-jkt5-akq6ack8, 0, 0, 220, obobo!3, B2cik3aeiq4-aktyz5cenq6-ae/S02-ak3aejq4ejknwy5ceknr6ae78, 0, 0, 221, obobo!3, B2cik3aceiq4ceinr5aekq6cei7c8/S02-ak3aejqr4eir5inqy6acn7, 0, 0, 254, obobo!3, B2-an3aceiq4cijnr5jk6-ae7e8/S02ci3enq4cejkwz5ciry6kn7c8, 0, 0, 238, obobo!3, B2-an3aeiqr4ceinr5cnqy6ik/S02cin3-ijny4ceikrwz5-nr8, 0, 0, 300, obobo!3, B2cik3aeiqr4einqrwz5jn6cik78/S02-ae3cejkq4-aqty5enq6-i7e8, 0, 0, 707, obobo!3, B2-ae3aeiq4in5acek6-an78/S02cei3ekn4aeqy5aijky6-ai7e, 0, 0, 692, obobo!3, B2-an3aeiq4n5cjnq6-ak7c8/S02ci3aer4acen5-aeky6cen7e8, 0, 0, 412, obobo!3, B2-ae3-jkny4cjnz5cjny6-an7e/S02ci3cenq4aceijqr5cjnq6akn7, 0, 0, 252, obobo!3, B2-ae3aeiqr4ceinqw5j6ein7e8/S02cei3ejkn4enwyz5-nry6acn8, 0, 0, 854, obobo!3, B2-ae3aeiq4cenrwz5cekny6-a7c/S02cei3-aijy4aeiqz5n6-ci7, 0, 0, 454, obobo!3, B2cik3aeiqr4nrz5cjnq6-ac7e/S02cei3aejr4ceijkn5-eikn6an8, 0, 0, 580, obobo!3, B2cik3aeiqr4jnqrwz5cejkq6cin7e8/S02-ak3ekqr4cekrwz5ackny6-in, 0, 0, 220, obobo!3, B2-ae3aeiq4aceinz5nq6ik78/S02cin3e4acei5ej6ck, 0, 0, 252, obobo!3, B2cik3aeiq4einw5ajq6-ae8/S02-an3aejk4aejw5ciknq6e7e, 0, 0, 386, obobo!3, B2-ae3aceiq4jnqwz5ceny6cei7e/S02ci3ejr4ceiryz5-cejy6ck7e, 0, 0, 268, obobo!3, B2-ae3aeiq4acnq5aeq6ein/S02-ak3ekqr4ceiqyz5-aeiy6ak78, 0, 0, 275, obobo!3, B2cik3aeiq4cenrw5ekq6cik/S02ci3-aciy4cekq5-kqr6ace7e8, 0, 0, 364, obobo!3, B2cik3aceiq4jnqrw5j6-ae8/S02-ak3ejq4aceiqrz5-cejy6-i8, 0, 0, 334, obobo!3, B2cik3aeiq4cenqr6ik8/S02cei3aejn4ejy5anqy6e8, 0, 0, 382, obobo!3, B2-ae3-jkny4nqr5aek6eik7c8/S02ci3ejkr4acenry5ijkqy6a7c, 0, 0, 256, obobo!3, B2cik3aeiq4cejnw5-aikr6ei7e8/S02ci3cenqr4cenq5nqy6aen78, 0, 0, 262, obobo!3, B2-ae3aeiqr4inrw5cjnqy6ei/S02ci3cekn4ejknqw5-aceq6c8, 0, 0, 246, obobo!3, B2cik3aceiq4nqwz5ejqy6ei/S02-ak3aekqr4eiry5-cik6n7c8, 0, 0, 256, obobo!3, B2cik3aeiq4-jktyz5a6-ak7c/S02ci3ejq4-akty5-ijnq6cen7e8, 0, 0, 231, obobo!3, B2cik3aeiqr4-akrty5cjky6ik8/S02-an3aejr4ceirwz5-ceky6ckn7e8, 0, 0, 298, obobo!3, 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B2cik3aeiqr4cinw5acjkn6ci7c8/S02cei3-inqy4-cjkrt5ceijy6acn, 0, 0, 260, obobo!3, B2cik3aeiq4ein5ny6eik/S02-ae3ejknq4-akqty5kr6-i78, 0, 0, 1074, obobo!3, B2-ae3aceiq4cijnqr5aekqy6-ak78/S02cin3-iny4aeky5cikqr6n7e8, 0, 0, 255, obobo!3, B2cik3aceiq4enrz5jq6-a78/S02-ak3cejk4eqwyz5aijy6ack, 0, 0, 284, obobo!3, B2-ae3aeiqr4enqz5ejkq6i/S02cik3cejr4aer5cijkq6c7e, 0, 0, 526, obobo!3, B2cik3aeiqr4cjnqrz5ek6ikn7e8/S02ci3aejk4acein5acijr6ce, 0, 0, 296, obobo!3, B2-an3aeiqr4nrz5ejqy6-ac7c/S02ci3cenr4aceijrz5aijny6n, 0, 0, 232, obobo!3, B2-ae3aeiqr4aeinqr5-iqr6ci7c8/S02ci3ekr4-atwy5-aenr6ck78, 0, 0, 796, obobo!3, B2cik3aeiq4acnqr5acey6cin7e8/S02-ak3ekn4-acqty5-cik6ak7c8, 0, 0, 234, obobo!3, B2cik3aeiq4inwz5cjknq6ikn8/S02cik3ekq4aeiqrwz5ikqry6aek7, 0, 0, 368, obobo!3, B2-ae3aceiq4eijnqz5ae6ikn8/S02cei3eq4-ajtwz5ajnqr6-ai8, 0, 0, 314, obobo!3, B2cik3aceiq4ceinqrz5kn6ci7e8/S02-ae3ceq4aeinqyz5ajry6aen7c, 0, 0, 850, obobo!3, B2-ae3-jkny4einrz5cej6cin7/S02cik3aekq4eijknz5cjnqr6ae7e8, 0, 0, 806, obobo!3, B2-ae3-jkny4enrz5eq6ein7c8/S02ci3enq4-aint5jky6ac7e8, 0, 0, 939, obobo!3, B2-ae3aeiq4einqz5acjk6eik8/S02cei3ejr4-cknt5eqy6ce7e, 0, 0, 398, obobo!3, B2-ae3aeiqr4cejnr5aenq6in7c8/S02cei3ekq4cejnwz5-eiqr6-i7e8, 0, 0, 236, obobo!3, B2cik3aeiq4cjnqwz5cenqy6ei7/S02cin3aer4-ajqt5-ajqr6n7e, 0, 0, 493, obobo!3, B2cik3aceiq4cjnqr5eknqy6cin7e8/S02cik3aejk4-jntwz5cjqy6-ci7e, 0, 0, 324, obobo!3, B2cik3aceiq4inqrw5eky6-ak7e/S02ci3-aiy4ejnq5eiky6ack78, 0, 0, 320, obobo!3, B2-ae3-ckny4cenqz5k6ci7e/S02ci3eknr4-aqtwy5acekn6ace78, 0, 0, 252, obobo!3, B2cik3aeiqr4eijnq5acn6eik78/S02-ak3aejkq4ceqrz5cery6-ei7c8, 0, 0, 425, obobo!3, B2cik3aeiqr4-ktwyz5ceqy6ein7c8/S02cin3ejq4-ajtw5-aek6en7e8, 0, 0, 679, obobo!3, B2-an3-jkny4cnq5y6ikn/S02cik3acek4aceinq5eijkn6ekn8, 0, 0, 360, obobo!3, B2cik3aeiqr4cinqrw5acknq6-ac7e8/S02-ae3ej4-ktwyz5ek6ack7c8, 0, 0, 298, obobo!3, B2-ae3aeiq4jn5aek6cei8/S02cin3aek4aceikyz5ijkry6-ei78, 0, 0, 496, obobo!3, B2cik3aceiq4jnqz5aceqy6ci8/S02cin3ej4-intwz5-any6aen7e, 0, 0, 360, obobo!3, B2-a3aeiq4ijnqrz5ce6ci7c8/S02ci3cenr4-cjktw5acekn6ck8, 0, 0, 268, obobo!3, B2cik3aeiqr4jnwz5-ijnr6ci7e/S02cin3-ijny4aceikqy5cjr6ckn7c8, 0, 0, 576, obobo!3, B2-ae3aeiq4eijnqr5knq6-an7e8/S02cik3aejqr4aenwy5-cijy6-ci, 0, 0, 316, obobo!3, B2-ae3aeiqr4ceinz5jkq6-ac7e/S02ci3acekn4aceiz5aeiy6ack8, 0, 0, 2464, obobo!3, B2-ae3aeiq4enrz5jk6i7/S02ci3cenq4aejnrw5-aq6ack7, 0, 0, 509, obobo!3, B2cik3aeiq4ein5ceqy6ci7/S02-a3cejk4ceiryz5-cnqy6k78, 0, 0, 304, obobo!3, B2cik3aeiq4inwz5aen6eik7c/S02ci3ekqr4-jtz5aek6ce7, 0, 0, 272, obobo!3, B2-ae3-jkny4ceinqw5cjnq6ikn7e/S02ci3aer4-acrtw5jkny6k7e8, 0, 0, 870, obobo!3, B2-ae3aeiq4aeinqz5cky6ei7c8/S02-ak3ek4cejknwz5ik78, 0, 0, 812, obobo!3, B2cik3-jkny4cijnrw5cejq6ikn7c8/S02-ak3cejr4cenqrz5ijkry6ck8, 0, 0, 1390, obobo!3, B2-ae3aeiq4einq5aq6ci7c8/S02cin3-iry4-qrty5jnry6-ai7, 0, 0, 290, obobo!3, B2-an3aeiqr4cnqrw5nq6-an/S02ci3eq4einr5einry6cek7c8, 0, 0, 248, obobo!3, B2cik3aeiq4acjnqrw5y6eik7c8/S02cin3ejkr4cejwy5eijnq6ak7, 0, 0, 370, obobo!3, B2cik3-jkny4nrz5ejk6-ae7/S02cin3acejk4acejw5ceijy6cek7e, 0, 0, 229, obobo!3, B2-ae3aeiq4acnz5eknqy6-an78/S02cin3aej4ceiqry5-aeik7c8, 0, 0, 230, obobo!3, B2cik3aeiqr4cenrz5jknq6cin7/S02ci3aen4aeijnyz5-aqr6ckn7, 0, 0, 280, obobo!3, B2-ae3aeiqr4jnqz5cejy6eik78/S02ci3aejkr4aceijkw5acny6-i7c8, 0, 0, 346, obobo!3, B2cik3aeiq4ceinqrz5aejky6cik7e8/S02-ak3enr4eikqry5eijry6acn7e, 0, 0, 606, obobo!3, B2-a3-jkny4cinqrw5cy6cik7c/S02-ae3cej4enqr5-ajkr6cen7, 0, 0, 352, obobo!3, B2-ae3-jkny4cinqrwz5cekny6cei78/S02ci3cej4aceiz5-aejn6ck78, 0, 0, 264, obobo!3, B2cik3aeiqr4ceijnw5ckny6cei8/S02cei3ejk4eijkrz5aejnq6k7c8, 0, 0, 1098, obobo!3, B2-ae3aceiq4ceijnqz5cknq6ik7c/S02ci3ejk4eknqwyz5aejkq6ckn8, 0, 0, 762, obobo!3, B2cik3aeiq4ceinrz5ejny6-a7c/S02-an3acejr4ceijqr5-enq6cn7c, 0, 0, 678, obobo!3, B2-ae3aeiqr4inqrw5jq6cik7/S02cei3acenr4acejqw5-aiy6n7e8, 0, 0, 370, obobo!3, B2cik3aceiq4ceijnr5ejknq6ei7c8/S02-an3eq4ceijy5cijy6c7e, 0, 0, 938, obobo!3, B2-ae3aeiq4-ekty5cekq6-ak7e8/S02ci3cekq4-ijrtw5-nqy6en7c, 0, 0, 530, obobo!3, B2-ae3-jkny4ijnqr5ejqy6cin8/S02ci3aceqr4ceikqwz5-ijkq6ak7e8, 0, 0, 363, obobo!3, B2-a3aeiq4cijnrz5cey6cik7c8/S02ci3ekr4aeinqz5aceiq6cek7e, 0, 0, 1714, obobo!3, B2-an3aeiq4jnqz5ajnq6i7e/S02cik3ej4ceqrwz5-cqy6ac, 0, 0, 234, obobo!3, B2cik3aeiq4ceijnrz5acejy6ikn7c/S02cik3ejnq4aceinz5ceqry6-in7e8, 0, 0, 272, obobo!3, B2-ae3aceiq4cinqrz5cekn6cik7c8/S02cik3ejk4aeiry5-ijkn6c7e8, 0, 0, 300, obobo!3, B2-ae3aeiq4ijnqrwz5jknq6ei7e/S02ci3cejr4-aikqt5ijk6a8, 0, 0, 262, obobo!3, B2cik3-jkny4cjnq5ak6-ac7c/S02cin3ejnr4ceijrwz5-acjk6a78, 0, 0, 1470, obobo!3, B2cik3aeiq4aenqr5cejk6eik7c/S02ci3ekn4ceiwy5iy6aek7e, 0, 0, 234, obobo!3, B2-ae3aeiq4cjnqr5enq6ein7c8/S02cik3cejk4aceikwz5-nq6cek, 0, 0, 233, obobo!3, B2-ae3aeiqr4cenq5cejkq6ci7c8/S02cik3aejkr4ceijnry5-akny6ce7c, 0, 0, 282, obobo!3, B2-an3aceiq4ceinwz5cjy6-an7c/S02ci3cejkr4eijnrwz5aeny6ak7e8, 0, 0, 834, obobo!3, B2cik3aceiq4ijnrwz5ekny6ikn7c/S02-ak3cejkr4ceknw5-jnr6ck7e8, 0, 0, 756, obobo!3, B2cik3aceiq4einz5c6-a7c8/S02cik3aekqr4-cjknt5ekny6ae7, 0, 0, 1886, obobo!`

I edited the parameters to be maxperiod 10000 and maxpop 700 but it hasint found anything 6000+ yet

p5652
`x = 5, y = 1, rule = B2cik3aeiq4einrz5aeny6ei7/S02cei3acejk4-ijkt5cjknr6-in7e8obobo!`
WADUFI
Sarp

Posts: 193
Joined: March 1st, 2015, 1:28 pm

Re: Smallest Oscillators Supporting Specific Periods

Is there any period 216 oscillator in your collection yet?
Here is a ten-cell one:
`x = 5, y = 4, rule = B34e5c6n/S23-qb2o\$o2b2o\$4bo\$3obo!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1526
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Re: Smallest Oscillators Supporting Specific Periods

Moosey wrote:Is there any period 216 oscillator in your collection yet?
Here is a ten-cell one:
`x = 5, y = 4, rule = B34e5c6n/S23-qb2o\$o2b2o\$4bo\$3obo!`

3 cells:
`x = 5, y = 1, rule = B2ci3aeinq4ejqrtz5-ijy6aci/S02en3ceinr4ajny5aeiny78obobo!`
Ian07

Posts: 213
Joined: September 22nd, 2018, 8:48 am

Re: Smallest Oscillators Supporting Specific Periods

Ian07 wrote:
Moosey wrote:Is there any period 216 oscillator in your collection yet?
Here is a ten-cell one:
`x = 5, y = 4, rule = B34e5c6n/S23-qb2o\$o2b2o\$4bo\$3obo!`

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

Here's a 2 cell one found by wildmyron:
`x = 3, y = 1, rule = B2aei3-eikr4-acqwz5-aqry6-kn7e/S01e2-ac3enqry4ijknrtz5cer6-an8obo!`

Macbi

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

Re: Smallest Oscillators Supporting Specific Periods

I'm having a little trouble with searchRule-matchPatt.py - when the search is ongoing, where are the resulting oscillators displayed? Also, for some starting rules, an error halts the program: in "min(clist[i])", golly reports "clist[i]" is empty. And what's the "generations to remain unchanged"? Furthermore, I think the program has different behavior when I set it to different rules.

testitemqlstudop

Posts: 763
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

Re: Smallest Oscillators Supporting Specific Periods

Moosey wrote:Is there any period 216 oscillator in your collection yet?
Here is a ten-cell one:
`x = 5, y = 4, rule = B34e5c6n/S23-qb2o\$o2b2o\$4bo\$3obo!`

There's oscillators known with four cells at most for every period.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Smallest Oscillators Supporting Specific Periods

testitemqlstudop wrote:I'm having a little trouble with searchRule-matchPatt.py - when the search is ongoing, where are the resulting oscillators displayed? Also, for some starting rules, an error halts the program: in "min(clist[i])", golly reports "clist[i]" is empty. And what's the "generations to remain unchanged"? Furthermore, I think the program has different behavior when I set it to different rules.

Whilst the search is running results are saved to a file named "matchPatt-results.txt" which should be saved to the same directory the script is in. When the search is finished (hit Esc - one of the things which needs to be improved) the file will contain all the results in the order they were found. You can then run filter_ships.py which will import all those results, test them for uniqueness, sort them by period (and displacement), and save the sorted results to another file.

The prompt for "generations to remain unchanged" is requesting a number of generations for which all results should match the starting patterns behaviour. It does this by determining the minimum and maximum isotropic rules in which the pattern's behaviour is unchanged for the desired number of generations. If the pattern dies out within the given number of generations then you will get the error related to "clist[i] is empty". The search results depend very much on the rule and the number of generations the pattern is requested to match. Please note that it's worth checking the range of rules the pattern works in for the number of generations specified. This is displayed briefly at the start of the search, but it's easy to miss especially if the search immediately begins finding results. Because the search is random, if the search space is less than 2^10 (for example) then after the first 1000 rules it is very likely to be duplicating results and searching the same rules over and over. There's no check for this condition in the script - ideally for less than 10^6 rules or so the script should just perform a scan of all rules rather than the random search.
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

Re: Smallest Oscillators Supporting Specific Periods

I have now automated maintaining the collection of smallest oscillators. The current collection, excluding p1, has 995 oscillators with minimum population < 4 cells. Here is the updated summary:

`Period 1, 0 cellsOdd periods 3-111, 2 cellsEven periods 2-222, 226, 234, 2 cellsOdd periods 113-331, 337, 339, 345-353, 357, 361-367, 371, 375, 379-387, 391, 395, 397, 403-441, 445, 449-453, 457-463, 467-477, 481, 483, 487, 493-499, 505-509, 521, 525-531, 537, 539, 543, 549, 553, 555, 559, 563, 571, 575, 581, 585-591, 597, 601-605, 611-615, 625, 639, 649, 655, 661, 669, 679, 689, 707, 711, 715, 725-729, 765, 775, 777, 809, 837, 843, 863, 879, 887, 913, 927, 939, 959, 977, 983, 997, 1013, 1039, 1053, 1063, 1069, 1073, 1113, 1125, 1131, 1161, 1179, 1225, 1227, 1295, 1327, 1381, 1395, 1421, 1439, 1491, 1547, 1555, 1569, 1579, 1731, 2039, 2081, 2333, 5185, 3 cellsEven periods 224, 228-232, 236-550, 554-568, 572-642, 646-664, 668-684, 688-730, 734-738, 742-750, 754-764, 768, 774-798, 802-818, 824, 826, 830-856, 860-864, 870, 882, 886, 890-904, 908, 924-938, 942, 948-954, 958-974, 978-990, 994, 998, 1002-1014, 1022, 1030-1036, 1040-1046, 1058, 1064, 1066, 1074, 1078-1082, 1086, 1090, 1092, 1098-1104, 1108, 1110, 1116, 1118, 1122, 1124, 1128, 1132, 1138, 1150, 1152, 1156, 1160-1164, 1168, 1170, 1174, 1180, 1182, 1188, 1190, 1194, 1198, 1206, 1208, 1214-1220, 1224, 1226, 1230-1242, 1258, 1260, 1264, 1270, 1276, 1278, 1282-1290, 1294, 1306, 1310-1314, 1318, 1322, 1330, 1344, 1376-1380, 1386-1390, 1398, 1412, 1414, 1432, 1448, 1456, 1464, 1466, 1470, 1472, 1476, 1486, 1494, 1504, 1508, 1510, 1514, 1518, 1530, 1540, 1548, 1552, 1560, 1566, 1570, 1572, 1602, 1618, 1624, 1626, 1630, 1632, 1636, 1644, 1650, 1654, 1672, 1682, 1688, 1690, 1700, 1704, 1708, 1710, 1714, 1738, 1748, 1764, 1792, 1796, 1824, 1868, 1882, 1886, 1888, 1900, 1904, 1908, 1910, 1916, 1928, 1938, 1940, 1952, 1982, 2020, 2042, 2066, 2082, 2106, 2142, 2198, 2204, 2216, 2222, 2256, 2336, 2360, 2370, 2374, 2452, 2464, 2470, 2520, 2576, 2578, 2604, 2606, 2610, 2626, 2642, 2650, 2656, 2666, 2712, 2734, 2760, 2786, 2812, 2828, 2954, 2998, 3032, 3082, 3086, 3098, 3160, 3178, 3190, 3210, 3214, 3236, 3242, 3410, 3512, 3674, 3736, 3764, 3816, 4018, 4538, 4744, 5464, 5652, 3 cellsAll other periods, 4 cells`

To be honest, I'm personally a little dubious about p1 but I've put it in as 0 as no one else objected to the idea. I've left out p0 as I'm not sure that makes sense.

If anyone is interested, I have a record of which periods were updated with each of Sarp's updates since the last status update. [Note: there were actually a few mistakes in that post, but everything should be correct in this post.]

Here is the current collection of oscillators in sss format. It and the update script can be found in a folder on my Google Drive. I should create a Git repository, or something else which is a bit easier to use, but this will do for now.

`0, B/S, 0, 0, 1, b!2, B2e/S, 0, 0, 2, o\$bo!2, B2en/S01c2n3a, 0, 0, 3, o2\$2bo!2, B2ci/S1e, 0, 0, 4, obo!2, B2aci4ej5i/S1e2i3e, 0, 0, 5, obo!2, B2aci4c5y/S1e2k3kq, 0, 0, 6, obo!2, B2-kn3y4c5y/S1e2k3k, 0, 0, 7, obo!2, B2ai3e4irw5i/S012i3aeiky4ej5e6i8, 0, 0, 8, obo!2, B2aci4aez5y6c7e/S1e2k3eik4cey, 0, 0, 9, obo!2, B2ai3en4ikrw5iy6c8/S012i3aeik4eik5e6i8, 0, 0, 10, obo!2, B2ai3eq4irw5in6ci/S012ei3aeir4aejy5ejn6i8, 0, 0, 11, obo!2, B2ai3er4irw5i7e/S012i3-cjnq4eijnt5ey6ik7e8, 0, 0, 12, obo!2, B2ai3eq4jr5i6i/S012ei3aeiky4e5eqr6ci8, 0, 0, 13, obo!2, B2ai3en4inrw5i6ci8/S012ei3aeiry4eijrw5acejr6ik8, 0, 0, 14, obo!2, B2ai3eqr4jr5ei6ik/S012ei3aeiky4et5eq6ci8, 0, 0, 15, obo!2, B2ai3ejkn4inrtw5cin6c7e8/S012i3aeiky4eiw5ej6i8, 0, 0, 16, obo!2, B2ai3eknr4irtw5i6c7/S012i3aeiky4eijnwy5e6ci8, 0, 0, 17, obo!2, B2ai3-acij4iknrw5iq6a/S012i3aeiqy4eint5en6aik8, 0, 0, 18, obo!2, B2aik3enqy4aikrwy5ciy78/S012ei3-cnr4aej5ejn6i8, 0, 0, 19, obo!2, B2ai3en4aknrwy5ceiny6ak8/S012ei3eij4aeir5eijnq6i7e8, 0, 0, 20, obo!2, B2ai3enq4aijknrw5ijry6c8/S012-ac3-cjqy4eijkw5ek6ci8, 0, 0, 21, obo!2, B2ai3ekn4cjkr5ainy6cek7e/S012ei3-cqr4eiry5ekqy6i8, 0, 0, 22, obo!2, B2ai3enq4aijnrw5ijy6ci8/S012ei3aeik4aejktw5ery6ik7e8, 0, 0, 23, obo!2, B2ai3er4irw5i6i7e/S012i3-cjnq4eijn5ey6ik7e8, 0, 0, 24, obo!2, B2ain3eny4ajkry5-ejqr6aik7e8/S012eik3-ckry4ei5e6-en8, 0, 0, 25, obo!2, B2ai3ekn4ijrt5i6c/S012i3aeiky4eiwy5e6i8, 0, 0, 26, obo!2, B2ai3enq4aijnrw5cijry6ci8/S012ei3aeikn4aekrw5ekry6ik7e8, 0, 0, 27, obo!2, B2ai3ejk4airw5ci6c7e8/S012i3aeiky4eijw5ej6i8, 0, 0, 28, obo!2, B2ain3anq4aerty5ein6ai/S012ikn3-kqry4aeijkr5aeijn6ci7e8, 0, 0, 29, obo!2, B2ai3ekn4airtw5i6c7e/S012i3aeiky4eijwy5e6i8, 0, 0, 30, obo!2, B2ai3nq4aerty5ein6ai/S012ikn3ceijn4aeijkr5eijn6ci7e8, 0, 0, 31, obo!2, B2ai3enq4ar5cijk7e8/S012ei3eij4aeiy5eijq6i7e8, 0, 0, 32, obo!2, B2ain3cn4eiknqr5i/S012eik3-ackq4ejkr5eij6aci7e8, 0, 0, 33, obo!2, B2ai3ejkn4krt5ciy6ck7e/S012eik3einr4aeitwz5-cnr6ik8, 0, 0, 34, obo!2, B2ain3kn4ijnry5ijy6ik7e/S012i3eij4aeikrty5-ackq6ei7e8, 0, 0, 35, obo!2, B2ai3ej4irt5ceiy6k8/S012i3eikqy4ej5eiq6ai7e8, 0, 0, 36, obo!2, B2ain3cn4eijkqrt5aikn6c7e/S012i3-ack4ejrtw5eijqr6aik7e8, 0, 0, 37, obo!2, B2ai3enq4inrwy5ci6cik8/S012ei3-cjkq4eijrwy5cejkr6ik8, 0, 0, 38, obo!2, B2ain3cn4eijkqrt5aeikn6c7e/S012i3-ackr4ejrtw5eijq6aik7e8, 0, 0, 39, obo!2, B2ai3en4aknrtwy5ciy6ak8/S012ei3eij4aeir5eijnq6i7e8, 0, 0, 40, obo!2, B2aci3k4arz5ijnry6c78/S1e2kn3ikqry4aeinwy5ainy6i7e, 0, 0, 41, obo!2, B2ai3enq4cinrw5ceij6c/S012ei3aeiry4aejr5-iqry6aik8, 0, 0, 42, obo!2, B2-kn3ekr4r5ijnqy7e8/S12ek3-eikn4eijrwyz5cij6-kn7, 0, 0, 43, obo!2, B2ai3cenq4aijnrw5ijy6ci8/S012ei3aeikn4aejkrw5ekry6ik7e8, 0, 0, 44, obo!2, B2-ek3kqry4cerz5cijy6ac8/S12kn3aikn4irt5acijr6ai, 0, 0, 45, obo!2, B2ain3eq4inrw5ijk6ci8/S012eik3-jkqr4aejrt5ejny6ik7e8, 0, 0, 46, obo!2, B2-ek3kry4cent5eiy6ac78/S12kn3-ck4acjknyz5aiq6aik8, 0, 0, 47, obo!2, B2ai3enq4aijnrwy5iy6ci7c8/S012ei3aeik4aektw5ery6i7e8, 0, 0, 48, obo!2, 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obobo!3, B2cik3aeiqr4ijnqrw5-aeir6eik7e8/S02cik3er4-knrtw5-ikr6ack7e8, 0, 0, 1908, obobo!3, B2-ae3-jkny4enq5ckn6ik7e8/S02cei3cekr4aenr5ceir6-i7c8, 0, 0, 1910, obobo!3, B2cik3aeiq4jn5jknq6-ae7c8/S02ci3-iqy4cejknqr5ijknr6ek7c8, 0, 0, 1916, obobo!3, B2cik3aceiq4eijnrwz5ekq6in7c/S02cei3-aciy4aeqy5nqy6e8, 0, 0, 1928, obobo!3, B2-ae3aeiqr4cen5enq6-an7c/S02cei3ejqr4ejnqrz5anry6k8, 0, 0, 1938, obobo!3, B2-ae3aeiq4ceinqr5-cinr6eik7e/S02ci3-airy4-aktwy5ck6k78, 0, 0, 1940, obobo!3, B2cik3aeiq4cenrwz5aknqy6cei7e/S02cik3cekq4ceijwyz5-aiqr6ce78, 0, 0, 1952, obobo!3, B2-ae3aeiqr4-jktwy5ce6i7c8/S02cin3aeqr4aceijry5cijn6n7e8, 0, 0, 1982, obobo!3, B2cik3-jkny4ijnr5cekqy6cik78/S02cei3aenq4acewz5-ikn6en7e8, 0, 0, 2020, obobo!3, B2-ae3aeiqr4cijnr5cj6eik7e/S02cei3aekn4ceiknwy5aijky6a7c8, 0, 0, 2039, obobo!3, B2-ae3aceiq4einqz5aeky6in7c/S02cei3ejkqr4aeijqw5ekn6-in7c8, 0, 0, 2042, obobo!3, B2cik3aeiq4acenr5acjk6ein7c/S02cei3aekr4-ackt5ary6e7c, 0, 0, 2066, obobo!3, B2-ae3aeiq4cinrwz5-aeir6cei7c8/S02cei3ace4-jnrty5-ikr6ek7e8, 0, 0, 2081, obobo!3, B2-ae3aeiqr4eijnqwz5ackn6-ae7c/S02ci3eqr4ceijnq5aijn6ce7c, 0, 0, 2082, obobo!3, B2cik3aceiq4nqrw5cejkq6-an7c/S02ci3aejr4ceinwyz5-ajkr6k, 0, 0, 2106, obobo!3, B2cik3-ckny4ceijnrz5ek6cik7e8/S02cin3cejk4acejny5iqy6aek78, 0, 0, 2142, obobo!3, B2-ae3-jkny4ceinqr5ackqy6eik7c/S02ci3ce4-atwz5ekqy6k78, 0, 0, 2198, obobo!3, B2cik3-jkny4-aktwy5cekqy6ikn7/S02cin3-aiqy4-ckntw5-cjkq6a7e, 0, 0, 2204, obobo!3, B2cik3-jkny4eijnrw5ejkqy6i78/S02cei3acejk4ejnw5aen6ck7, 0, 0, 2216, obobo!3, B2cik3aeiqr4ceijnqw5acj6-a7e8/S02cei3acek4aeikn5-jkr6ce8, 0, 0, 2222, obobo!3, B2cik3aeiq4cjnqrz5acjkq6ein7e/S02cei3aejqr4cejkn5-ejk6cek7e, 0, 0, 2256, obobo!3, B2-ae3aeiqr4cinqrw5cjkn6ikn78/S02ci3acen4acejky5einq6n7e8, 0, 0, 2333, obobo!3, B2cik3aeiq4ceinqw5jqy6ik8/S02-an3aek4-ajntz5-ijk6acn7e, 0, 0, 2336, obobo!3, B2cik3aeiqr4acijnqr5cenqy6-ae/S02cin3cenqr4aekn5jnr6aen7, 0, 0, 2360, obobo!3, B2cik3aeiqr4cenrz5-eiry6i7c8/S02cei3ejk4-cntw5-ckr6aen8, 0, 0, 2370, obobo!3, B2-ae3aeiqr4einqrz5aknq6cin7c/S02ci3-aiky4cenrwz5acik6-i7c, 0, 0, 2374, obobo!3, B2-ae3aeiqr4cen5kn6ei78/S02cin3aceqr4ejkqryz5cjk6-ai7e, 0, 0, 2452, obobo!3, B2-ae3aeiqr4ceinz5jkq6-ac7e/S02ci3acekn4aceiz5aeiy6ack8, 0, 0, 2464, obobo!3, B2cik3aceiq4eijnqr5jn6ci7e8/S02cin3ejknq4aekn5-aekq6aek8, 0, 0, 2470, obobo!3, B2cik3aceiq4aijnqrw5n6in78/S02ci3cejkq4-jrtwz5-aqry6n7c8, 0, 0, 2520, obobo!3, B2-ae3aceiq4-akty5acjy6ikn8/S02ci3ejk4aeijrz5ceijn6-ei, 0, 0, 2576, obobo!3, B2-an3aeiqr4ceinr5ejn6in7e8/S02ci3acer4-rtw5ekqy6c7c8, 0, 0, 2578, obobo!3, B2cik3aeijq4cinqz5ajqy6-ac8/S02cin3cekq4-cktwy5-eiqr6k7e8, 0, 0, 2604, obobo!3, B2-ae3aeiqr4ceijn5cejkq6in8/S02-an3ek4ekrz5aeikr6akn7e8, 0, 0, 2606, obobo!3, B2cik3aceiq4ejnqrwz5acejk6-ak8/S02cin3aeq4eqryz5nqy6-i, 0, 0, 2610, obobo!3, B2cik3aeiqr4ainrw5cek6ci8/S02cei3acek4ejnqwy5-jqr6ce7e, 0, 0, 2626, obobo!3, B2cik3aeiq4ceinwz5cjy6cin7e8/S02-ae3cejq4aeikrw5-e6k7c8, 0, 0, 2642, obobo!3, B2cik3aeiq4-ktwy5jny6-a7e8/S02ci3ejqr4aceknqr5eiknr6acn7, 0, 0, 2650, obobo!3, B2-ae3aeiqr4eijnqrz5ceny6-a7e8/S02cik3aej4-ajkqt5ceiqy6ck78, 0, 0, 2656, obobo!3, B2cik3aeiq4aeinqrz5-airy6cin8/S02-ak3acekq4ejqrz5ain6c7, 0, 0, 2666, obobo!3, B2-ae3aeijq4cinqrz5cejn6ei/S02cin3-aijy4eijny5cn6-ik8, 0, 0, 2712, obobo!3, B2cik3-jkny4ijnqw5cjny6in/S02-ak3ejnqr4-aijtz5aikn6cen7c8, 0, 0, 2734, obobo!3, B2cik3aeiqr4nq5aq6ik78/S02cin3ejknr4cekz5-er6-i8, 0, 0, 2760, obobo!3, B2-ae3aeiqr4aeinz5cejq6cei7c/S02cin3ej4-iqtwy5-cenr6ckn7e8, 0, 0, 2786, obobo!3, B2cik3aeiq4aijnq5cjq6i78/S02-ae3ae4-kqtwy5acijy6ek7e8, 0, 0, 2812, obobo!3, B2cik3aeiq4ceijnwz5acnq6cik7c8/S02cin3acejr4eijknr5-ikry6ce7e, 0, 0, 2828, obobo!3, B2cik3aeijq4cinr5kq6ein7c8/S02cin3cejkq4-kqtwz5cjnqy6ack7e8, 0, 0, 2954, obobo!3, B2-ae3aceiq4eijnqrw5eq6-an/S02cei3ejk4-actyz5cikqy6ckn, 0, 0, 2998, obobo!3, B2cik3aeiqr4ceijnr5akqy6ci/S02-a3ej4eijrz5jknr6en7e8, 0, 0, 3032, obobo!3, B2-ae3aeiq4cen5knq6-an7c8/S02cei3-ciry4aek5k6-ei78, 0, 0, 3082, obobo!3, B2-ae3aceiq4eijnz5ejnq6-ae7c/S02ci3aejkr4-ajqtz5-ijky6ck8, 0, 0, 3086, obobo!3, B2-ae3-jkny4cjnr5cejk6-a7/S02ci3cejq4cekryz5-kn6ace7, 0, 0, 3098, obobo!3, B2-ae3aceiq4eijnqr6-an78/S02cik3aej4eijrwy5-jkn6acn7c, 0, 0, 3160, obobo!3, B2cik3aceiq4einw5jkq6-an7e8/S02ci3-ciry4aceijwy5jknqr6c7, 0, 0, 3178, obobo!3, B2cik3aceiq4inr5eknq6cik7e/S02cin3aceq4-inqt5-qr6-ei7c, 0, 0, 3190, obobo!3, B2cik3-jkny4ijnqr5cnq6i8/S02-ae3ejkq4aceinqz5cinqy6kn7e, 0, 0, 3210, obobo!3, B2cik3-jkny4ceinqrw5-airy6-ae78/S02ci3-ciny4-krtwy5jnqy6ce8, 0, 0, 3214, obobo!3, B2cik3-jkny4ijnqw5enqy6ei7e8/S02cei3cejnr4aeijky6aen7c8, 0, 0, 3236, obobo!3, B2-ae3aceiq4jnq5jknqy6cik78/S02cei3e4ceijqwz5cijkq6ek8, 0, 0, 3242, obobo!3, B2-ae3aeiq4jnw5ak6-ae7e8/S02-ak3eq4ceqryz5-aejq6-ei7e8, 0, 0, 3410, obobo!3, B2-ae3aceiq4eijnwz5ejkny6-ac7c8/S02ci3aejk4cejn5ijq6ace7c8, 0, 0, 3512, obobo!3, B2-ae3aeiq4ceinq5cjky6ci7/S02-a3ejkq4enrz5acinr6ac8, 0, 0, 3674, obobo!3, B2-ae3aeijq4eijnq5jkq6cik7/S02ci3aejk4aeijw5jkr6-ci, 0, 0, 3736, obobo!3, B2cik3aeiq4aijnqr5acjk6ci78/S02-ak3ceq4-ijkrt5eijy6-ei7, 0, 0, 3764, obobo!3, B2-ae3-jkny4inqrw5cjknq6in7e/S02ci3aek4cejwz5-kqr6ak8, 0, 0, 3816, obobo!3, B2-ae3aceiq4cin5jkqy6ci7c8/S02cei3eknqr4-acty5cikny6k7e8, 0, 0, 4018, obobo!3, B2-ae3aeiqr4cnqr5ceqy6ein/S02cei3ceknq4aeijqwz5aeij6-ei7, 0, 0, 4538, obobo!3, B2-ae3-jkny4einrwz5ekn6cei8/S02ci3acej4-jnrtw5ijky6ekn7e, 0, 0, 4744, obobo!3, B2cik3aceiq4aijnr5knqy6ik/S02ci3cejq4-ntwyz5cjry6ckn78, 0, 0, 5185, obobo!3, B2cik3-jkny4cijnqr5jk6ik7c/S02cei3aekn4-nqty5aijr6aek7e, 0, 0, 5464, obobo!3, B2cik3aeiq4einrz5aeny6ei7/S02cei3acejk4-ijkt5cjknr6-in7e8, 0, 0, 5652, obobo!`

2718281828 wrote:
Sarp wrote:p4744 which is the third oscilator I found after changing maxgen from 4000 to 6000

Maybe it is worth to take a much larger upper limit e.g. 10k or even 100k but breaking the loop if the ratio of bounding box width/hight to 'lifetime' is too large - to reduce the computational costs. So that clearly exploding rules will be cancelled, after e.g. 1000 gens. We could take the bounding box evolution of the actual found oscillators to find a suitable upper bound so that it is unlikely to miss oscillators.

The stability detection in the current script is pretty rudimentary - I only wrote it with fairly low period searches in mind and it was easier and faster to go with simplicity rather than the complexity of something like oscar. At the moment the max population test is the only method used to detect exploding patterns, but your suggestion has some merit. I'm really not sure what the thresholds would need to be set to in order to keep computational costs down without rejecting to many of these oscillators which seem to expand quite quickly.

I was thinking it might be interesting to see a scatter plot of period vs maxpop for all of these high period oscillators which are being found. This might give some indication of the impact of the the maxpop check - if there are lots of oscillators with maximum population close to the maxpop of the search, then increasing maxpop is likely to allow more oscillators to be found. It would also be interesting to find out what the maximum population of any 3-cell oscillator found so far actually is. I'll tackle that idea some time in the coming week.
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

Re: Smallest Oscillators Supporting Specific Periods

Nice work wildmyron!

Generally the highest odd period has been approximately half the highest even period. Which makes sense. An oscillator returning to the rotation of its initial state is about as likely as returning to its actual initial state.

So the p5185 is a huge outlier. The highest even period is 5652, and the next highest odd period is 2333 (note that 5652 is very close to 2×2333).

Macbi

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

Re: Smallest Oscillators Supporting Specific Periods

Running a search right now but this caught my eye while scrolling through the results file, a
p7500
`x = 5, y = 1, rule = B2-ae3acei4eijnrtw5cejnq6-ae7c/S02cin3acej4eknry5aijqy6-i7e8obobo!`
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2911
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Smallest Oscillators Supporting Specific Periods

Sorry for double post, but the full results of 501 oscillators (exactly)
`3, B2cik3aei4-aiqwy5ejkqy6cik7e/S02-ak3aen4eijrwyz5c7, 0, 0, 178, obobo!3, B2cik3acei4ceknrtz5cjkq6cik7e8/S02-ak3ejkry4eiqr5cjy6kn7c8, 0, 0, 376, obobo!3, B2-an3aeir4enqtz5aejny6cei7e/S02ci3-ijy4aceik5aciqy6ck7c8, 0, 0, 114, obobo!3, B2cik3aei4cnqrtw5aceny6i7e8/S02-an3cenr4aeiknz5-acnr6-i, 0, 0, 186, obobo!3, B2-a3aeir4cnqt5cjky6ei8/S02cin3-ikqy4ceijkr5n7e8, 0, 0, 154, obobo!3, B2-an3aceir4-arwy5ackny6ik7c8/S02ci3ejnry4aejnqry5ciry6ek78, 0, 0, 146, obobo!3, B2-ae3aei4-ajqwy5eknq6ei7e/S02cin3-iqry4-actyz5-aen6cen7e, 0, 0, 270, obobo!3, B2-ae3aei4iknqtw5cejkn6ci7c/S02ci3ejknq4eijknz5-jkn6kn7, 0, 0, 196, obobo!3, B2cik3aei4ntwz5ejy6ci8/S02cin3-cinr4aewyz5aj6c, 0, 0, 186, obobo!3, B2cik3aeij4ejnrtwz5e6ik7e/S02-a3ceknq4acekqrw5in, 0, 0, 108, obobo!3, B2-a3aei4cknrtw5anq6i78/S02cei3ekqr4aeikrwz5-eqr6ekn7e, 0, 0, 104, obobo!3, B2-a3aeir4cinrtw5-ciry6cik7e/S02-ae3-airy4eiknw5aeijr6k78, 0, 0, 108, obobo!3, B2-a3aei4-acjry5akn6ci/S02ci3cer4ceikwz56k7e, 0, 0, 262, obobo!3, B2cik3acei4ciknrtw5cqy6ci/S02cin3aejqr4cekrw5ir6cek7e, 0, 0, 128, obobo!3, B2-an3acei4einqtw5aejy6cik7/S02cei3-inry4eik5cjk6ce7e8, 0, 0, 122, obobo!3, B2cik3acei4-arwy5aek6ci7e/S02cik3aer4ceiknqy5ijkqy6cen, 0, 0, 207, obobo!3, B2-ae3aei4cnrt5qy6ei8/S02cik3aekq4aeijqy5enqr7e, 0, 0, 178, obobo!3, B2cik3aei4cijnt5e6-an/S02cik3aeqy4aeijnqw5ijny7e, 0, 0, 116, obobo!3, B2-ae3aeijr4cijknqt5ajny6-a/S02cik3ejry4ejnryz5ijkny6kn78, 0, 0, 426, obobo!3, B2cik3aceir4ceknqtz5n6ikn7/S02cik3acejr4acejnwy5ar6c78, 0, 0, 108, obobo!3, B2-ae3-knqy4ijnrtz5eny6ei7e/S02cei3ej4aekry5cer6ak8, 0, 0, 110, obobo!3, B2-a3acei4-arwy5cen6i7c/S02-ae3-in4aeinrw5-eiky6ak8, 0, 0, 120, obobo!3, B2cik3aei4cinqt5ejqy6-ae/S02-an3acer4aeijnq5aci6ek8, 0, 0, 149, obobo!3, B2-a3aei4cnrtz5cey6eik7c/S02ci3enqr4cenqrwz5cjy6ace7, 0, 0, 194, obobo!3, B2cik3aceir4ijknrt5aknq6-an7/S02-an3ejkqr4cejkr5aiq6an78, 0, 0, 155, obobo!3, B2cik3aceir4-aqwyz5jqy6ik8/S02cei3acekq4eikqrz5-ejqy6kn7e8, 0, 0, 138, obobo!3, B2cik3aeijr4ceinrtz5ajnqy6cei7e8/S02cik3ery4acenyz5eijy6ac7e, 0, 0, 158, obobo!3, B2cik3aei4inrtw5y6ci7e8/S02-an3ae4-ntwyz5cey6ac7e8, 0, 0, 114, obobo!3, B2cik3aeir4eknt5ekn6ci7e/S02-an3acek4aeknqr5ein6ak7e, 0, 0, 102, obobo!3, B2cik3aei4-ackyz5ck6ei/S02cik3-ciny4-cjntw5ijqy6aen8, 0, 0, 148, obobo!3, B2-ae3aeijr4ceiknrt5ky6ikn7/S02cin3aekr4aeijkyz5acejr6cn78, 0, 0, 224, obobo!3, B2-an3acei4nqrtwz5ceny6cik7c/S02ci3ekn4ceikqry5cqy6aek8, 0, 0, 398, obobo!3, B2cik3acei4eijnrtz5jqy6cin7/S02-an3aejkq4cei5-cejr6cek7e, 0, 0, 388, obobo!3, B2cik3aeir4enrtw6ik7e8/S02ci3e4cenqw5ai6a, 0, 0, 102, obobo!3, B2-an3acei4-aiwyz5eky6cik8/S02ci3ejk4aeiqrw5iqy6c7, 0, 0, 170, obobo!3, B2cik3aceij4cknrt5eknq6-an7e8/S02-ak3acejr4-jqtwy5jnqry6en7e, 0, 0, 109, obobo!3, B2cik3aei4int5aejk6ci/S02-ae3aej4cer5ijy6e8, 0, 0, 132, obobo!3, B2-an3aeir4ijnrt5cq6ik8/S02cin3acej4aejknqy5enq6cek7c8, 0, 0, 143, obobo!3, B2-ae3aeir4jknqt5kq6ei/S02cei3aejn4eijqrz5acir6cek78, 0, 0, 242, obobo!3, 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B2-ae3aeir4-aejy5cejq6in7/S02ci3aejr4-jktwz5-ery6-ci8, 0, 0, 328, obobo!3, B2-a3acei4cijnrtz5ackqy6cin7/S02ci3ekqr4cenrwyz5-aejq6ekn7e8, 0, 0, 234, obobo!3, B2cik3aei4-acry5eknq6-ac7c/S02ci3ace4-cktwz5-einq6ac7e8, 0, 0, 560, obobo!3, B2cik3acei4ceijnqt5cj6in7c8/S02-ae3ejkqr4-ikqtz5acjnr6-ci8, 0, 0, 328, obobo!3, B2-ae3aeir4int5qy6cei/S02-a3cejry4aekqr5ceir6ace7c8, 0, 0, 180, obobo!3, B2cik3aei4-ajrwy5cjny6ei8/S02-ae3acenq4-jqtyz5ciqy6-ci7, 0, 0, 130, obobo!3, B2-a3aei4ijnqtz5jkq6ik7e8/S02-ae3aejk4-ajnrt5ejnry6ae7e8, 0, 0, 132, obobo!3, B2-a3aceir4ciknrtw5acn6-ae7c8/S02ci3aeknr4eiqz5cijk7c8, 0, 0, 164, obobo!3, B2-an3aeir4ijknt5jqy6ik7e/S02cei3acenr4-cjtwz5-nqr6ak7c8, 0, 0, 100, obobo!3, B2cik3aeir4cijknqt5e6cei7e/S02cei3-ciy4cejqw5eik6c7e8, 0, 0, 102, obobo!3, B2-ae3aeijr4ciknt5n6ik7e8/S02cik3aeqy4eirz5ajnqr7c, 0, 0, 100, obobo!3, B2-ae3aei4ejknrtw5cjn6ci7c8/S02ci3cejny4ejknqrz5ijkn6-ai7c, 0, 0, 251, obobo!3, B2-a3aeij4nqt5jk6cik7e8/S02cei3ekq4aeiqy5eiky, 0, 0, 148, obobo!3, B2-ae3acei4ceijnqt5ejy6eik78/S02cin3acejn4erwyz5-eijn6-ai, 0, 0, 102, obobo!3, B2-a3acei4eikntw6cei7/S02cik3aekqr4einy5ceikn6ckn7, 0, 0, 240, obobo!3, B2cik3aei4-acjry5cnq6ik7c/S02-ae3cenqr4-intwz5-cjn6ac7e8, 0, 0, 158, obobo!3, B2cik3aeij4jknqt5acqy6cei7e8/S02ci3-cijn4-akrt5cijkq6ck7, 0, 0, 126, obobo!3, B2cik3aceir4ceijnqt5-ijnr6ik7e8/S02ci3aeqr4eiknyz5-eqr7e, 0, 0, 140, obobo!3, B2cik3acei4ceijntw5-ikry6i7e8/S02ci3ejkr4cejryz5ar6ek7e8, 0, 0, 116, obobo!3, B2cik3acei4eijnt5-inqr6-an7e/S02cik3aekry4-cqtwy5ejkqy6ce, 0, 0, 264, obobo!3, B2cik3acei4-akrwy5cekn6eik7c8/S02cik3-inqy4eijnqr5-kqry6ak78, 0, 0, 132, obobo!3, B2-ae3aeijr4ijnqtz5ajny6-a7c/S02cin3cekqr4ceinqz5aciky6ek8, 0, 0, 149, obobo!3, B2-an3aei4iknqtw5aenq6eik7/S02cik3cekqr4ceinrwz5-ackr6k7, 0, 0, 138, obobo!3, B2cik3acei4-acwy5y6-ae8/S02-ae3eqy4aceknqr5c6k7e8, 0, 0, 209, obobo!3, B2cik3aceir4enqt5akn6ikn7e8/S02ci3aeknq4ceijkyz5-enr6ace8, 0, 0, 342, obobo!3, B2cik3aeijr4ijknqt5ejq6i7e/S02-ae3ejny4aeiqrz5eqy7e, 0, 0, 110, obobo!3, B2-ae3acei4knrt5knqy6ci7/S02ci3aeqr4ceijkq5aceir6cek7e8, 0, 0, 150, obobo!3, B2cik3aei4ceinrt5acq6ci7e8/S02cin3acekn4aceiqrw5ajqy6ac7c, 0, 0, 160, obobo!3, B2cik3aceij4ciknt5aceq6-ak7e8/S02-ae3eknqr4ejkqrw5aijny6ac78, 0, 0, 106, obobo!3, B2-ae3aeir4ijknqt5cy6cin7c/S02ci3aejkn4ejnrz5-cekn78, 0, 0, 342, obobo!3, B2-ae3aei4ijkntwz5-aeir6ik8/S02cin3ekq4enyz5-ckr6ack7e, 0, 0, 188, obobo!3, B2-ae3aeir4-aiky5aekqy6-ac8/S02cin3aejk4aejnwz5ejq6k7e, 0, 0, 213, obobo!3, B2cik3aeir4eiknrt5cejqy6cei8/S02cin3aery4acejk5-cejn6cen7, 0, 0, 158, obobo!3, B2cik3aceij4-aeijy5ejny6-ac7/S02ci3acey4ceijy5-jkq6e8, 0, 0, 151, obobo!3, B2-ae3aceir4cijknqt6ikn7c8/S02cei3aey4cejknqw5-cekq6cen7e8, 0, 0, 282, obobo!3, B2cik3acei4cijkntw5ajq6ei7c8/S02cin3ejnqr4-akqtw5acj6-ai7e8, 0, 0, 102, obobo!3, B2cik3acei4eijknqt5nq6ik/S02ci3acejq4eijkwy5ei6ak7e, 0, 0, 114, obobo!3, B2cik3aeir4cent5anqy6ik/S02cei3ejqy4ceikz5ijkq6k7e8, 0, 0, 162, obobo!3, B2-a3aceir4-aeky5ejq6cik7c/S02-ae3enqry4-krtwy5aeiq6ac7e8, 0, 0, 122, obobo!3, B2-ae3aei4-aekyz5aeknq6ik/S02cei3aej4ejkrz5einr6c8, 0, 0, 164, obobo!3, B2cik3aei4cnqtz5enqy6-a8/S02-ak3-in4aejrw5i6cek7c, 0, 0, 101, obobo!3, B2cik3acei4cknrtw5jn6ci/S02ci3cenr4aeiqy5acer7e8, 0, 0, 184, obobo!3, B2-ae3aeijr4jnqrt5jq6in7/S02cin3acenr4eiq5eijkr6kn7c8, 0, 0, 182, obobo!3, B2cik3aceij4knqrtz5jkqy6cin7/S02ci3aeqy4aeqw5ijky6k, 0, 0, 582, obobo!3, B2cik3acei4eintz5eny6cik7c/S02cei3aen4aceij5-akn6c78, 0, 0, 142, obobo!3, B2cik3aeir4ciknqrt5cejny6ci7e8/S02cei3-ikqy4eirw5aijqr6ck8, 0, 0, 120, obobo!3, B2cik3aei4cint5ajky6ci7e/S02-ak3acejr4cen5aciry6c7c8, 0, 0, 100, obobo!3, B2-an3acei4einrtz5cejqy6ein/S02cik3cekqr4ceij5-iknr6ek7e8, 0, 0, 110, obobo!3, B2cik3aeij4cnqt5a6i7c/S02-an3eqry4eijknqw5cinqy6a7e8, 0, 0, 124, obobo!3, B2cik3aeijr4ekntw5kn6i7e8/S02ci3en4ceijn5-ackn6a7e8, 0, 0, 100, obobo!3, B2cik3acei4ceikntw5cy6ik8/S02cei3enqr4ceiry5ejn6c8, 0, 0, 106, obobo!3, B2-ae3aceir4cinqtz5jky6ei7e/S02cin3ejy4cenqrw5kqry6ce7c8, 0, 0, 188, obobo!3, B2cik3aeijr4-aqwyz5ckq6ik7c/S02cin3ejk4aeijnqy5cjkny6kn78, 0, 0, 176, obobo!3, B2-ae3aceir4nrtz5cjn6ei8/S02-ae3acek4aceijqr5aejqy6ace7c8, 0, 0, 3240, obobo!3, B2cik3acei4-ajqy5kn6i7e8/S02cei3ejkn4-kqtwy5-cr6c7, 0, 0, 228, obobo!3, B2cik3aeijr4-awyz5ejkn6-ae7e/S02cik3-cinr4ceijnq5-aky6en7e, 0, 0, 348, obobo!3, B2-an3aeir4cikntz5cknqy6ik/S02cik3acek4enwy5cenqy6ack8, 0, 0, 100, obobo!3, B2cik3aceir4inqrtz5cejny6eik7c8/S02cin3-iy4-akqtz5acjry6a7e, 0, 0, 317, obobo!3, B2-an3aceir4cinqrt5cknqy6i/S02cik3aej4-cit5-cqry6kn7e, 0, 0, 101, obobo!3, B2-ae3aei4ceijknt5ajky6ci7e/S02cin3-ciry4eknw5-ceiq6e7, 0, 0, 190, obobo!3, B2-an3acei4ejntw5jn6ci7c8/S02cik3ae4-iktw5airy7e, 0, 0, 160, obobo!3, B2cik3aeij4-aewyz5cjq6cei7e8/S02ci3ae4acenqy5-iry6ack7e8, 0, 0, 122, obobo!3, B2cik3aeir4cjnqrtw5aejk6ikn7e/S02cik3aejr4-ajrty5acejy6acn7e8, 0, 0, 132, obobo!3, B2cik3aei4cenqrtw5cnqy6eik7c/S02cin3acejk4-irtwy5-er6-in, 0, 0, 724, obobo!3, B2-ae3aei4eijnqt5aenqy6-a7c/S02cin3ejkry4ceqrz5ainqy6ck7c, 0, 0, 198, obobo!3, B2cik3aeij4cejnqrt5ajny6ci7e/S02-ak3cejy4acekz5aiq6a7c, 0, 0, 140, obobo!3, B2cik3aceir4cinqrtw5cnq6i/S02cin3cejkr4aejkny5ckq6cek7e8, 0, 0, 306, obobo!3, B2cik3aei4cejnqt5eknq6cik7/S02cin3aeknr4aejkryz5aejq6a7, 0, 0, 104, obobo!3, B2-ae3aceir4einrtz5ajq6-ae7e/S02ci3ejnr4ceijkny5cjny6-ik78, 0, 0, 114, obobo!3, B2-ae3aceir4eiknqrt5aej6ein8/S02ci3aejnr4ekn5aceik6kn7e8, 0, 0, 616, obobo!3, B2-ae3acei4eikntwz5ej6i7e/S02cik3aekr4eknqryz5eiky6-i, 0, 0, 246, obobo!`
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2911
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Smallest Oscillators Supporting Specific Periods

Saka wrote:Running a search right now but this caught my eye while scrolling through the results file, a
p7500
`x = 5, y = 1, rule = B2-ae3acei4eijnrtw5cejnq6-ae7c/S02cin3acej4eknry5aijqy6-i7e8obobo!`

Two ships in that rule, a c/2 and a 2c/34:
`x = 5, y = 16, rule = B2-ae3acei4eijnrtw5cejnq6-ae7c/S02cin3acej4eknry5aijqy6-i7e8bo2\$2bo\$ob2o\$2bo2\$bo6\$4bo\$ob3o\$2b2o\$ob2o!`

Macbi

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

Re: Smallest Oscillators Supporting Specific Periods

Macbi wrote:So the p5185 is a huge outlier. The highest even period is 5652, and the next highest odd period is 2333 (note that 5652 is very close to 2×2333).

For reference, here is its rule:
`x = 5, y = 1, rule = B2cik3aceiq4aijnr5knqy6ik/S02ci3cejq4-ntwyz5cjry6ckn78obobo!`

It can double its period to p10370 by interacting with a p2:
`x = 15, y = 15, rule = B2cik3aceiq4aijnr5knqy6ik/S02ci3cejq4-ntwyz5cjry6ckn78o\$2o\$bo8\$14bo2\$14bo2\$14bo!`

There is also a five-cell p29:
`x = 5, y = 5, rule = B2cik3aceiq4aijnr5knqy6ik/S02ci3cejq4-ntwyz5cjry6ckn782bo2\$obobo2\$2bo!`

But apgsearch has found no spaceships yet in more than two and a half million soups.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Smallest Oscillators Supporting Specific Periods

That p5185 is certainly a surprising result. The maxGen parameter does bias the results somewhat but it doesn't have any bearing on the gap between 2333 and 5185.
Saka wrote:Sorry for double post, but the full results of 501 oscillators (exactly)
`<snip results>`

Thanks for searching too. A few great results in there, particularly that p7500. New 3-cell oscillator periods from this set of results:
`732, 770, 822, 888, 1200, 1316, 2006, 3240, 7500`

The new oscillators:
`3, B2-ae3aei4-aeqwy5cenq6-ak/S02cin3aenqr4ekqw5aejnr6cek8, 0, 0, 732, obobo!3, B2cik3acei4cknqt5any6cin7e8/S02-ak3aejkn4cejkqy5acikq6ckn8, 0, 0, 770, obobo!3, B2-ae3aeir4-aikry5cejy6-ac7c8/S02cei3ace4cejnyz5-aejr6c7c8, 0, 0, 822, obobo!3, B2cik3aeij4-aqwyz5aky6ein7c/S02ci3acek4-aqrt5-acen6-ik7e8, 0, 0, 888, obobo!3, B2cik3acei4cejntwz5enq6ikn8/S02ci3-aiy4-airtz5ijkr6cek7, 0, 0, 1200, obobo!3, B2-ae3acei4ijnqtw5ay6cei78/S02cin3aejr4aceknw5-aejy6cn7c, 0, 0, 1316, obobo!3, B2-ae3aeir4-aejyz5cy6-ak7e8/S02-ak3acekr4eqrw5r6a7, 0, 0, 2006, obobo!3, B2-ae3aceir4nrtz5cjn6ei8/S02-ae3acek4aceijqr5aejqy6ace7c8, 0, 0, 3240, obobo!3, B2-ae3acei4eijnrtw5cejnq6-ae7c/S02cin3acej4eknry5aijqy6-i7e8, 0, 0, 7500, obobo!`

For all those contributing to the search: you don't need to post large logs with all of the results, though it's interesting to see so many high period oscillators we do already know that there are a lot of them out there. If there's interest perhaps we can arrange some way of collecting the potentially enormous number of such oscillators.

For this thread it would be good to at least reduce the volume of results posted. You can do that firstly by increasing the minP of the search to whatever is the lowest period for which there's no known 3-cell oscillator - currently p333. If you don't want to discard those results then you can run the update script yourself. To run it you just need the three files from the Drive folder linked above.

To use the update script: copy the full search output to the clipboard and then run sossp-update.py in Golly. It will read in the current collection and then analyse all the oscillators in the clipboard contents to find any new record smallest oscillators. The script can also import from RLE. There are three ouputs: 1) The updated collection is saved back to sossp.sss.txt, 2) A summary of new oscillators found as well as the updated status table is displayed in a dialogue window, and 3) A list of updated periods as well as the new oscillators is saved to sossp-updated.sss.txt. You can then copy the new 3-cell oscillators in SSS format from the end of sossp-updated.sss.txt and paste them here. Or if you prefer to post them in RLE format you can use filter_oscs_forum.py
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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