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### Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 23rd, 2018, 4:56 pm
I decided to name this rule Wild Seas because, firstly, the boat and ship are the most common still lifes; and secondly, small oscillators make up a high proportion of ash, making me think of, say, the surface of a sea in a storm. Interesting things discovered in this rule so far will be summarised below.

The rule supports Margolus patterns with four different media:
`x = 32, y = 8, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6io9bo9bo9b2o\$10bo10bo8b2o\$o9bo9bo9b2o\$10bo10bo8b2o\$o9bo9bo9b2o\$10bo10bo8b2o\$o9bo9bo9b2o\$10bo10bo8b2o!`

As a result, the rule has a beautiful variety of small natural oscillators.

There are two small natural spaceships, a c/2 one and a 2c/25 (4c/50) one, which I think of as the "U-glider" or "glider" and "sailor", respectively:
`x = 6, y = 14, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i2o\$o\$2obo\$3bo7\$2ob3o\$o3bo\$bobobo\$bo!`

There also exists a clean 3c/4 orthogonal fuse:
`x = 57, y = 7, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i53bo\$54b2o\$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3bo\$52b2o2bo\$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3bo\$54b2o\$53bo!`

EDIT: and a clean 2c/7 diagonal fuse:
`x = 30, y = 29, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i28b2o\$26bo2bo\$26b2o\$24bo\$24b2o\$22bo\$22b2o\$20bo\$20b2o\$18bo\$18b2o\$16bo\$16b2o\$14bo\$14b2o\$12bo\$12b2o\$10bo\$10b2o\$8bo\$8b2o\$6bo\$6b2o\$bob2o\$2o2b2o\$bo3bo\$o\$3b3o\$2bobo!`

Now, I'm wondering whether guns, puffers or rakes exist in this rule.

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 26th, 2018, 5:59 am
Here are some spaceships (c/2,c/3,c/4,c/5,c/6,c/4d):

`x = 122, y = 102, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i113b3o\$113bobo\$112b2ob2o\$110bo2bobo2bo\$110bo2b3o2bo\$111bob3obo\$111b2obob2o\$111b2obob2o\$112bo3bo2\$112b5o\$114bo\$111bobobobo3\$109b3o5b3o\$109b3ob3ob3o\$111bob3obo\$110bo2b3o2bo\$108b2o3bobo3b2o\$109b2o2b3o2b2o\$113b3o\$112bo3bo2\$113bobo\$112bo3bo\$109b3o2bo2b3o\$110bo7bo\$113b3o\$110b2o5b2o\$114bo\$112bo3bo\$113b3o4\$113bobo2\$113bobo2\$113bobo\$111bobobobo2\$111bo5bo\$111bo5bo\$113bobo\$113bobo3\$113bobo\$113bobo\$112bo3bo\$110b2o5b2o\$108b4o5b4o\$107b3o2b5o2b3o\$108b3obobobob3o\$108bob2o2bo2b2obo\$111bo5bo\$108b2o9b2o\$109bo2bo3bo2bo\$110bo3bo3bo\$110bo2b3o2bo\$111bo5bo\$111bob3obo\$110bo7bo2\$53bo10bo46b3ob3o\$53b3o6b3o45bobobobobo\$113bobo\$111bobobobo\$52b2obo6bob2o44bob2ob2obo\$52b4o6b4o45bo5bo\$56bo4bo50bo3bo\$53bobo6bobo47b5o\$51bo14bo45bo3bo\$17bo33b2ob4o2b4ob2o44bobobobo\$50b3o2bo6bo2b3o44bo3bo\$15bo35b2o2bo6bo2b2o\$13bobo34bo4bo6bo4bo44bo3bo\$13b2o2b2o31bo2bo10bo2bo43b2o3b2o\$12bobob2ob2o27b2obob2o8b2obob2o42bo3bo\$11bo2b2o2bo3bo24bob3o3bobo2bobo3b3obo43bo\$11b2obo7bo27b3obo8bob3o46bo\$14bo5bo3bo20b2obo3bobo8bobo3bob2o\$11b6o3b2obo23b2obob3o2b4o2b3obob2o43bo\$6bo4bobo2bo4b2obo20b2o3bo16bo3b2o10bobo28bo\$8b3obo2b2obobob3o22b2o8b4o8b2o43bo\$7bob2o2bobo3b3obobo21bo3bo14bo3bo11bobobo\$4bobo2bob2obo2bo2bo24b2o3bobo5b2o5bobo3b2o9b2ob2o25b5o\$5b2o2bo4bo31bob4o6b2o6b4obo10b5o23b2o2bo2b2o\$bobobo3b3obo3b5o22bobo9bob2obo9bobo5bo3bobo3bo21b2o3b2o\$b2o5bob2ob2obo2bo25b2o2b2o16b2o2b2o6bobo5bobo7b2o4b2o8b3o\$2o2bobob3o2b5o29b4o6bo2bo6b4o8bo9bo5bo10bo6bobo\$ob2o3bo2b2o4b2o27b2o9bo4bo9b2o7bobo3bobo6b2o2bo2bo2b2o5b2ob2o\$bo2bobo3b2o2bo30bo2bo3b3o2bo2bo2b3o3bo2bo6bobobobobobo8b6o8b2ob2o\$10bo4bo32bo9b2o9bo10bo3bo3bo8b3o2b3o7bobobo\$2b2ob2obo2bo2bo16b2o2bo2b2o6bob3o2b2o8b2o2b3obo7bo3b3o3bo7b2o4b2o8bobo\$b2obo4b2ob2o17b2o5b2o6b2ob2o6b4o6b2ob2o7bob2o3b2obo6bo2b4o2bo6b5o\$2bo3bob2obob2o9b2o9bo13bobobobo6bobobobo13bo3bo9b10o8bo\$2b2ob2o3bobo9b3o3bo3bo2bo2bo3bo39b2ob2o12b4o11bo\$4bo2b2ob3o9b3o4b2obo5bob2o10bobob6obobo16bobobo12b4o\$7bob2o12bo5b3o3bo3b3o16b2o23bobo13b4o11bo!`

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 26th, 2018, 6:38 am
Goldtiger997 wrote:Here are some spaceships (c/2,c/3,c/4,c/5,c/6,c/4d):

`RLE`

Very nice! I'm guessing you used Aidan's ntzfind algorithm to find those?

Also, that c/6 ship is the first time I've actually seen a pattern (excluding soups) make use of the B8 transition in this rule.

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 26th, 2018, 7:08 am
77topaz wrote:Very nice! I'm guessing you used Aidan's ntzfind algorithm to find those?

Thanks! Actually I mostly used ntgfind for this. When finding spaceships in non-totalistic rules, I usually use ntgfind for speeds from c/2 to c/5 and diagonal ships, and use ntzfind for c/6 +. I do this because gfind seems to better at low periods, and zfind better at high periods. I always use gfind first, because it outputs spaceships of a larger variety more easily, with a single search. Furthermore, gfind has no limit to the width it can do, whereas zfind can only do up to w10. It would be impossible to find the larger c/3 that I posted above with ntzfind because it is very wide. I know there is now ntqfind, but I don't know when to use this. I also sometimes use osrc.cpp to find short wide spaceships.

Anyway, I hope that makes sense and is useful.

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 26th, 2018, 11:55 pm
Here are a few miscellaneous examples to illustrate the wide range of oscillator periods possible within small bounding boxes in this rule:

Period 434:
`x = 19, y = 4, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i3bobobobobobobo2\$3bobobobobobobo\$obobobobobobobobobo!`

Period 372:
`x = 17, y = 6, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6iobobobobobobobobo2\$obobobobobobobobo\$bobobobobobobobo2\$bobobobobobobobo!`

`x = 17, y = 3, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i17o2\$17o!`

Period 210:
`x = 27, y = 11, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i13bo2\$11bo3bo2\$9bo3bo3bo\$obobobobobobobobobobobobobo\$9bo3bo3bo2\$11bo3bo2\$13bo!`

Period 504:
`x = 21, y = 13, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i5b11o2\$5b11o2\$5b11o2\$obob2obobobobob2obobo2\$5b11o2\$5b11o2\$5b11o!`

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 28th, 2018, 4:53 am
A family of even-period oscillators whose period goes up irregularly as they are extended was already known for this rule. But there also exists a family of odd-period oscillators whose period goes up irregularly as they are extended:

`x = 43, y = 15, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i35bo2\$17bo17bo2\$3bo13bo17bo2\$3bo13bo17bo\$obobobo5bobobobobobo5bobobobobobobobo\$3bo13bo17bo2\$3bo13bo17bo2\$17bo17bo2\$35bo!`

Like I did for the even-period family in the linked post above, I'll now post the sequence of periods as the length of the "arms" is increased (where N refers to the number of dots per "arm"):

`N,period1,32,73,74,315,636,157,158,5119,6310,204711,102312,51113,1638314,3115,3116,409517,8738118,409519,102320,127`

It seems that all periods achieved by this family are of the form 2^n - 1, for integer n.

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 28th, 2018, 10:10 am
77topaz wrote:It seems that all periods achieved by this family are of the form 2^n - 1, for integer n.

Indeed they are, as typically happens with oscillators of this kind.
Here are the values of n for each N:
`N,n1,22,33,34,55,66,47,48,99,610,1111,1012,913,1414,515,516,1217,1218,1219,1020,7`

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 28th, 2018, 5:08 pm
77topaz wrote:It seems that all periods achieved by this family are of the form 2^n - 1, for integer n.

Indeed they are, as typically happens with oscillators of this kind.
Here are the values of n for each N:
`N,n1,22,33,34,55,66,47,48,99,610,1111,1012,913,1414,515,516,1217,1218,1219,1020,7`

I think you made a typo for 17, it should be "17,18", right? Anyway, that sequence is A003558 in the OEIS (well, A003558 except its first two terms, but that's not particularly important). This shows that there is a relationship between this family of oscillators and the 1x4N/2x4N ones as well: the former have periods of the form 2^(A003558(N)) - 1, and the latter 2^(A003558(N) + 1) - 2.

EDIT: BlinkerSpawn pointed out that 2^(A003558(N) + 1) - 2 is actually equivalent to simply 2 * (2^(A003558(N)) - 1); hence, the odd-period oscillators' periods are equal to exactly half the even-period ones' periods.

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: January 29th, 2018, 7:38 pm
Large, symmetrical patterns/soups in this rule can sometimes have strange, seemingly-everlasting chaos interactions. However, this chaos dies down surprisingly quickly if it hits some kind of asymmetry:

`x = 490, y = 262, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i12\$224bobo32bobo6\$49bo150bo23bobo32bobo23bo150bo\$49b3o147b2o17b4o42b4o17b2o147b3o\$48bob2o147b2o84b2o147b2obo\$48bo388bo\$44b3o188bo14bo188b3o\$47bobo184bobo12bobo184bobo\$47bo2b2o183b2o12b2o183b2o2bo\$49b3o382b3o\$49b3o382b3o\$41bo161bobo74bobo161bo\$41b2o2bo7bo128bo7bobo100bobo7bo128bo7bo2b2o\$39b2o3bobo121bobo144bobo121bobo3b2o\$39b2o5bo6bo110b2o16bo120bo16b2o110bo6bo5b2o\$41bo2b3obo114bobo42bobo3bo56bo3bobo42bobo114bob3o2bo\$43bo4bo115bo26b2o21bo56bo21b2o26bo115bo4bo\$41b4ob3o165bo56bo165b3ob4o\$41bo2b2o32bo105bobo4b2o9bobo9bo56bo9bobo9b2o4bobo105bo32b2o2bo\$43b2o8b5o127b2o40bo30bo40b2o127b5o8b2o\$40bo2bo7b3o3bo20bo82b2o160b2o82bo20bo3b3o7bo2bo\$39bobobo6bo2b2obobo101bobo64bo30bo64bobo101bobob2o2bo6bobobo\$40bobo7b3o6bo22bobo51b4o21bo34bobo28bo30bo28bobo34bo21b4o51bobo22bo6b3o7bobo\$40bobo7b3o2b2obo4b2o18b2o316b2o18b2o4bob2o2b3o7bobo\$39bobo10bo5b2o3bo11bo66bobo82bo30bo82bobo66bo11bo3b2o5bo10bobo\$38bobobo9bo2bo2b2o4bo27b4o100bobo88bobo100b4o27bo4b2o2bo2bo9bobobo\$37bo2bo13b2obo17bo93b4o12bo114bo12b4o93bo17bob2o13bo2bo\$38bo2b2o12bo157bo58bo157bo12b2o2bo\$37bo2b2ob2o10b2o128bo26bobo56bobo26bo128b2o10b2ob2o2bo\$37b3o10bob2o158b2o58b2o158b2obo10b3o\$37b3o14b2o53bobo75b2o108b2o75bobo53b2o14b3o\$38b2o9b2ob3o64b2o66bobo106bobo66b2o64b3ob2o9b2o\$52bo7bo57bobo244bobo57bo7bo\$35bo2b2o7bob2ob2o5bobo24b3o15b3o11b2o29bo186bo29b2o11b3o15b3o24bobo5b2ob2obo7b2o2bo\$34bo2b2obo6bob2o9bo2b2o22b2o14bo3bo270bo3bo14b2o22b2o2bo9b2obo6bob2o2bo\$33bo3bobobobo6b2o2b2o3b6o2bo36bob2o20b2o19bo52bobo76bobo52bo19b2o20b2obo36bo2b6o3b2o2b2o6bobobobo3bo\$34bo3b3o2b3o6bo7b2o4bo38bo274bo38bo4b2o7bo6b3o2b3o3bo\$31bobob2o3b6o5bobo6bo3bo38bobo2b2o9bo2bo5b2o226b2o5bo2bo9b2o2bobo38bo3bo6bobo5b6o3b2obobo\$33b2o3bob2obobo4bobo8bobo12bobo21bobo2bo2b2o50bobo160bobo50b2o2bo2bobo21bobo12bobo8bobo4bobob2obo3b2o\$32bobo2bo3bob2o15b2ob2o6b3o26b2obo3b4o8bo2bo8b2o220b2o8bo2bo8b4o3bob2o26b3o6b2ob2o15b2obo3bo2bobo\$32b2o4b3o19b2ob2o2bo4b2o23b3ob2o2bo2b2o14bo6b3o35bobo142bobo35b3o6bo14b2o2bo2b2ob3o23b2o4bo2b2ob2o19b3o4b2o\$48bo10bo2b3ob2ob2o28bo4bobo58bo154bo58bobo4bo28b2ob2ob3o2bo10bo\$33bo3b2o10bo4bo5bo2bo8bo25b2o3b3ob2o15bo7bo31bobo152bobo31bo7bo15b2ob3o3b2o25bo8bo2bo5bo4bo10b2o3bo\$33b5ob2o3b2obo2bo4bo3b4obo2bo36b4o22bo33b2o154b2o33bo22b4o36bo2bob4o3bo4bo2bob2o3b2ob5o\$33b3o2b3o2b4o2b2o3b2o4bo2b2ob2o6bo53b2ob2o63bo92bo63b2ob2o53bo6b2ob2o2bo4b2o3b2o2b4o2b3o2b3o\$31b2ob2o7b2obo14bobobobob4obo28bo23b2obo224bob2o23bo28bob4obobobobo14bob2o7b2ob2o\$34bo8b2o8bo5bobo3b2ob3ob3o20bo6bo26b2o2bo62bo92bo62bo2b2o26bo6bo20b3ob3ob2o3bobo5bo8b2o8bo\$32b2ob2ob2o3b2o2bo3b4o4b2o3bo2b3ob2o21b2o6b2obo21bo5bo38bobo60bo14bo60bobo38bo5bo21bob2o6b2o21b2ob3o2bo3b2o4b4o3bo2b2o3b2ob2ob2o\$33b2o2b2ob4o4bobo3bo3b4o4b3obo25bo6bo28bobo67b2o31bo14bo31b2o67bobo28bo6bo25bob3o4b4o3bo3bobo4b4ob2o2b2o\$34b2o3b3o3bobo4bobo35b2obobo2bo4b2o3b3o18b2o2bo2bo64bobo31bo14bo31bobo64bo2bo2b2o18b3o3b2o4bo2bobob2o35bobo4bobo3b3o3b2o\$39bobo2bo3bo5bobob3o28b3o3bobob2o4b2o3bo18bo2bob3o65bo32bo14bo32bo65b3obo2bo18bo3b2o4b2obobo3b3o28b3obobo5bo3bo2bobo\$36bo7b2o2bo4bo41bob2obo2b4obo17bo6b3o2bo83bo40bo83bo2b3o6bo17bob4o2bob2obo41bo4bo2b2o7bo\$34bo6bob3o2bo2bo2bob4o27b2obob3ob4obo15b2o6bobob2obo2bob2o208b2obo2bob2obobo6b2o15bob4ob3obob2o27b4obo2bo2bo2b3obo6bo\$20b2o12bo5bob2o4bo2b2obo3bobo26b2ob2obo7bo4b2o9bobo2b5o2bo2bo4bo26bobo55bo40bo55bobo26bo4bo2bo2b5o2bobo9b2o4bo7bob2ob2o26bobo3bob2o2bo4b2obo5bo12b2o\$19b2obo7bo2bob2o7b4o30bo8b2o2bo4b5ob3obob2o8bo5bo3bo4bo85bo46bo85bo4bo3bo5bo8b2obob3ob5o4bo2b2o8bo30b4o7b2obo2bo7bob2o\$19bo8b6ob2o3bo2bob3o3b2obob3o18bobo8b3o3b2o2b2o13b2ob2obob3o3b2o8b2obo78bo46bo78bob2o8b2o3b3obob2ob2o13b2o2b2o3b3o8bobo18b3obob2o3b3obo2bo3b2ob6o8bo\$18b3o6bo5bo2b2ob2o2bo3b2o2b2o2bo22bo10bo3b2o2bo4bo2bo2b2o3b2obo3bob2o6b5o3bo80bo46bo80bo3b5o6b2obo3bob2o3b2o2bo2bo4bo2b2o3bo10bo22bo2b2o2b2o3bo2b2ob2o2bo5bo6b3o\$28b2obobo7bo5bo2bobobo39bobo8bo8bo3bobo8b2o5b2o81bo46bo81b2o5b2o8bobo3bo8bo8bobo39bobobo2bo5bo7bobob2o\$16b4o13b2o2b2obo2bobo2b3o2b3o35bob2o4b4o16bo10b2o2bob2o210b2obo2b2o10bo16b4o4b2obo35b3o2b3o2bobo2bob2o2b2o13b4o\$16bo3bo8b8o3bo5bobo6b2o28bo5bo2bo4b3o2b2o4bo18bo2b2o218b2o2bo18bo4b2o2b3o4bo2bo5bo28b2o6bobo5bo3b8o8bo3bo\$16b2o3bo8bobo6bo3bobo3bo5bo27b5o3bobo5b2obob2ob3ob5o12bob2o2b2o4b3o2bo194bo2b3o4b2o2b2obo12b5ob3ob2obob2o5bobo3b5o27bo5bo3bobo3bo6bobo8bo3b2o\$18b4o14bo9b2obo3bob2o19bo9bob2ob2o6bo2b4o2bobob2obo14bo3b2o3b3o3b2o192b2o3b3o3b2o3bo14bob2obobo2b4o2bo6b2ob2obo9bo19b2obo3bob2o9bo14b4o\$19bo18b2o12b2obo25b5ob3o14b3o5b2obo2bo10b3o3bo4bo2b3o194b3o2bo4bo3b3o10bo2bob2o5b3o14b3ob5o25bob2o12b2o18bo\$21b2o14bobo14bo21bo4bo2b2ob2o5b3o3bo3b4obo4b2ob4o8b3o9b4o7bobo3bo168bo3bobo7b4o9b3o8b4ob2o4bob4o3bo3b3o5b2ob2o2bo4bo21bo14bobo14b2o\$20b2ob2o60bo2b4o3b2o3bo4b2o2bo5b2o5bo6bo2bo3bo4b3o3b3o2b2o3b4o164b4o3b2o2b3o3b3o4bo3bo2bo6bo5b2o5bo2b2o4bo3b2o3b4o2bo60b2ob2o\$20bobo38b3o4bo11bobo2b6o7b2o6b2ob2o5b4obob5o2bo2bob2o9bob2o6b2o2bo164bo2b2o6b2obo9b2obo2bo2b5obob4o5b2ob2o6b2o7b6o2bobo11bo4b3o38bobo\$21b3ob2o35bo2bo2bo11bo6bo2bo2bo3b3o2b5o2bobobo2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EDIT: The smallest "seed" of this chaos I have found so far is shown below. Luckily, this effect never shows in C1 soup searches, because it breaks down into stability if it hits any asymmetry (as an example, try drawing some random asymmetry in the reaction cloud after running the pattern for, say, 100k generations).

`x = 9, y = 4, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i3bobo\$2obobob2o\$o7bo\$2o5b2o!`

EDIT 2: Here is a population plot of the above small "seed", for 500'000 generations. The overall growth appears to be roughly linear but remains irregular and aperiodic throughout the time simulated.

`x = 563, y = 536, rule = 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### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: February 18th, 2018, 1:16 pm
I've started to search soups in this rule at various higher symmetries. This has already given numerous interesting results, including the discovery of several new oscillator periods, such as this p16 from D8_4:
`x = 7, y = 7, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i2b3o\$2obo\$2bo3bo\$b2o2b2o\$3b2obo\$3bobo\$5bo!`

And this p18 from D4_+4:
`x = 6, y = 12, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i2o2b2o\$o4bo2\$2o2b2o\$bo2bo\$2o2b2o\$2o2b2o\$bo2bo\$2o2b2o2\$o4bo\$2o2b2o!`

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: March 16th, 2018, 5:46 pm
p7s were already known as part of the 2^N - 1 family, but here's a new, unique p7 from D4_+4:
`x = 10, y = 10, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6ibo6bo\$3o4b3o\$3bo2bo\$3bo2bo\$ob2o2b2obo\$ob2o2b2obo\$3bo2bo\$3bo2bo\$3o4b3o\$bo6bo!`

This gives more hope that there could be odd-period oscillators with periods that aren't of the form 2^N - 1.

EDIT: Another new oscillator period, a p10 from D4_+4:
`x = 6, y = 14, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i2b2o\$2b2o\$2b2o\$2b2o2\$2o2b2o\$ob2obo\$ob2obo\$2o2b2o2\$2b2o\$2b2o\$2b2o\$2b2o!`

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: August 16th, 2018, 11:31 pm
An illustration of the wonderful weirdness of this rule:

Start with this p16368, which forms from a line of 79 cells:
`x = 77, y = 49, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i23bobobobobobobobobobobobobobobobo2\$23bobobobobobobobobobobobobobobobo2\$19bobo33bobo2\$19bobo33bobo2\$19bobo33bobo2\$14bobob5obobobobobobobobobobobobobobobob5obobo2\$12bo6bobo33bobo6bo2\$10bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo2\$8bo3bo6bobo33bobo6bo3bo2\$6bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$2bo3bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo3bo2\$o3bo3bo3bo6bobo33bobo6bo3bo3bo3bo2\$2bo3bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$6bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo2\$8bo3bo6bobo33bobo6bo3bo2\$10bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo2\$12bo6bobo33bobo6bo2\$14bobob5obobobobobobobobobobobobobobobob5obobo2\$19bobo33bobo2\$19bobo33bobo2\$19bobo33bobo2\$23bobobobobobobobobobobobobobobobo2\$23bobobobobobobobobobobobobobobobo!`

Remove one cell:
`x = 77, y = 49, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i23bobobobobobobobobobobobobobobobo2\$23bobobobobobobobobobobobobobobobo2\$19bobo33bo2\$19bobo33bobo2\$19bobo33bobo2\$14bobob5obobobobobobobobobobobobobobobob5obobo2\$12bo6bobo33bobo6bo2\$10bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo2\$8bo3bo6bobo33bobo6bo3bo2\$6bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$2bo3bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo3bo2\$o3bo3bo3bo6bobo33bobo6bo3bo3bo3bo2\$2bo3bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo3bo2\$4bo3bo3bo6bobo33bobo6bo3bo3bo2\$6bo3bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo3bo2\$8bo3bo6bobo33bobo6bo3bo2\$10bo3bobob5obobobobobobobobobobobobobobobob5obobo3bo2\$12bo6bobo33bobo6bo2\$14bobob5obobobobobobobobobobobobobobobob5obobo2\$19bobo33bobo2\$19bobo33bobo2\$19bobo33bobo2\$23bobobobobobobobobobobobobobobobo2\$23bobobobobobobobobobobobobobobobo!`

This pattern then runs for 21 million generations, staying in the same bounding box but gradually acquiring more symmetry, eventually forming this p94368:
`x = 71, y = 61, rule = B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i28bo13bo2\$26bo3bo9bo3bo2\$28bo13bo4\$34bobo2\$34bobo2\$30bobo5bobo2\$30bobo5bobo8\$5bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2\$3bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2bo2\$3b2o3bobobobobobobobobobobobobo5bobobobobobobobobobobobobo3b2o2\$ob2o4bobobobobobobobobobobobo3bobo3bobobobobobobobobobobobo4b2obo2\$ob2o8bobobobobobobobobobo3bobo3bobobobobobobobobobo8b2obo2\$ob2o4bobobobobobobobobobobobo3bobo3bobobobobobobobobobobobo4b2obo2\$3b2o3bobobobobobobobobobobobobo5bobobobobobobobobobobobobo3b2o2\$3bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2bo2\$5bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo8\$30bobo5bobo2\$30bobo5bobo2\$34bobo2\$34bobo4\$28bo13bo2\$26bo3bo9bo3bo2\$28bo13bo!`

The whole re-symmetrising process looks very weird - it often looks like a "glitched" Margolus oscillator in the early stages. Both in these stages and in the final p94368, there is the appearance of "stray" smaller oscillators lying around in the main oscillator's envelope.

### Re: Wild Seas (B2c3-cekq4ikt5i8/S2-in3-acky4aijry5eiky6i)

Posted: February 20th, 2019, 10:46 pm
I don't remember exactly who or where, but a few months ago I recall someone asking what the minimum and maximum rules for the four-Margolus-oscillator-types-in-the-same-rule were. I didn't have an answer then, but now with isorule.py I do: the minimum isotropic rule is B2c3i4i/S2c5i, and the maximum rule is B2ck3-eq4-cew56-i78/S2-in3-a4-cq567.