Smallest Known Oscillators to p106 (and Beyond)

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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A for awesome
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by A for awesome » July 16th, 2021, 9:37 am

Smaller p240 (33 cells):

Code: Select all

x = 16, y = 11, rule = B3/S23
14bo$14bo$5b3o5bobo$14bo$2ob2o9bo$2obobo8bo$6bo7bo$bo4bo6bobo$bo4bo7b
o$2bo2b2o7bo$5b2o!
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 16th, 2021, 9:50 am

hotdogPi wrote:
July 16th, 2021, 9:29 am
240: 46, although there's probably a LCM that beats it somewhere
Indeed (the below LCM oscillator was already in Skopje at the time of the post immediately preceding this one):

Code: Select all

x = 16, y = 10, rule = B3/S23
bo6b3o$bo$obo8b2ob2o$bo8bobob2o$bo7bo$bo7bo4bo$bo7bo4bo$obo6b2o2bo$bo
7b2o$bo!
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by muzik » July 24th, 2021, 12:26 pm

Is this the smallest possible LCM for p320?

Code: Select all

x = 21, y = 28, rule = B3/S23
8b2o4b2o$8bobo2bobo$10bo2bo$9bo4bo$9bo4bo$9bo4bo$11b2o$5b2o$5b2o3bo$9b
o$9bo4bo$14bo$11bo3bo3b2o$13bobo3b2o$12b3o6$6b3o$2o3bobo$2o3bo3bo$6bo$
6bo4bo$11bo$10bo3b2o$14b2o!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Sokwe » July 24th, 2021, 12:42 pm

muzik wrote:
July 24th, 2021, 12:26 pm
Is this the smallest possible LCM for p320?

Code: Select all

x = 21, y = 28, rule = B3/S23
8b2o4b2o$8bobo2bobo$10bo2bo$9bo4bo$9bo4bo$9bo4bo$11b2o$5b2o$5b2o3bo$9b
o$9bo4bo$14bo$11bo3bo3b2o$13bobo3b2o$12b3o6$6b3o$2o3bobo$2o3bo3bo$6bo$
6bo4bo$11bo$10bo3b2o$14b2o!
It's probably the smallest using known oscillators. It doesn't look like there are any suitable domino sparks for the pseudo barberpole or octagon II to interact with.
-Matthias Merzenich

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by muzik » July 24th, 2021, 12:57 pm

...and this for 496?

Code: Select all

x = 24, y = 33, rule = B3/S23
11b2o$8bo6bo$7bo8bo$10b4o$7b3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o6$
10b4o$2o7b6o7b2o$2o6b2ob2ob2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o2$
12bo$12bo$8bo2bo$7bobo2bo$7b5o$10b2o$7b3obo$6b2obo$12bo$12bo$12bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 24th, 2021, 4:12 pm

muzik wrote:
July 24th, 2021, 12:57 pm
...and this for 496?
The p320 was already in Skopje; I've just added the p496 to the fixed oscillators list.

I have also updated the original SKOP106 pattern at the start of this thread with all the latest discoveries.
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 26th, 2021, 11:08 am

Better 138+184n construction (72 cells) from jslife's reflectors-180.lif:

Code: Select all

x = 33, y = 57, rule = B3/S23
b2o5b2o$b2o5b2o8$b3o3b3o$o2bo3bo2bo$2obo3bob2o10$6b3o$4b3o3bo$4bo$9bob
2o$12bo$6b2o$b2o8bo$b2o7bo19b2o$30b2o8$23b3o3b3o$22bo2bo3bo2bo$22b2obo
3bob2o16$23b2o5b2o$23b2o5b2o!
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 26th, 2021, 1:21 pm

I've pushed a commit to Skopje allowing "boring" oscillators to be excluded by adding the option unique=True (or using skuop() instead) – this includes LCM and signal loop oscillators. As of that commit I've only made this distinction for p20, p21 and p690; for the first two I've designated the following oscillators as SKUOP20 and SKUOP21 where the U stands for unique:

Code: Select all

x = 59, y = 16, rule = B3/S23
35b2o6bo$b2o32bo6bobo$bobo23b2o3b2obo7bo$3bo23bo4bobo$3b2o5bo17b3obo
16b2o$b2o3bo2bobo18bob2o14bo2bo$o2b3o4bo37b3o$b2o46bo$3b4o29bo$3bo3bo
2bo24b3o$4bo2bobo24bo2bo14b2obo$5bobobobo23b2o16bob3o$6b2obob3o37bobo
4bo$8bobo3bo27bo7bob2o3b2o$8bobo2b2o26bobo6bo$9bo32bo6b2o!
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Naszvadi » July 26th, 2021, 1:45 pm

Does this P165 count?

Code: Select all

x = 30, y = 37, rule = LifeHistory
.CB3.2C$C.CB.CBCB$.C4BCB$2.B.3B.B$5.5B7.2B$4.6B5.4B$3.7B4.5B$3.4BCBC
5B3C3B$3.3BC2BCB3C7B$2.3BC4B2C7B2CB$2.3BC3B2CB2C5B3CB$3.2B3CB3C14B$4.
14B3CB3C2B$7.B3C5B2CB2C3BC3B$8.B2C7B2C4BC3B$9.7B3CBC2BC3B$9.3B3C5BCBC
4B$11.5B4.7B$11.4B5.6B$11.2BD6.5B$12.3D6.B.3B.B$12.DB8.BC4BC$12.3B6.B
CBC.BC.C$12.BCB7.2C3.BC$11.B3CB$11.5C$10.7B$10.7B$9.9B$9.9B$10.7B$10.
7B$11.5C$11.B3CB$12.BCB$12.3B$13.B!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 26th, 2021, 2:01 pm

Naszvadi wrote:
July 26th, 2021, 1:45 pm
Does this P165 count?
Pentadecathlon on rattlesnake is smaller:

Code: Select all

x = 18, y = 15, rule = B3/S23
8b2o6bo$8bo7bo$9bo5bobo$8b2o6bo$16bo$16bo$16bo$5b2o8bobo$5bob2o7bo$2ob
obobobo6bo$ob2obobo$6bo2b3o$7b2o3bo$9b3o$9bo!
I've also found a new SKOP90, thumb 1 on queen bee shuttle at 56 cells:

Code: Select all

x = 25, y = 17, rule = B3/S23
18b2o$18bo2b2o$16bobo3bo$15bobob3o$15bobo$12b2obob2o2b3o$12b2obob2obo
3bo$15bo7b2o$15b2o3bo2$10bobo$10bo3bo$14bo$2o8bo4bo4b2o$2o12bo5b2o$10b
o3bo$10bobo!
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » July 27th, 2021, 12:30 pm

For interesting p42s, this one is smaller than the one on the wiki at 148 cells, but it would need either a name that makes clear that it's not the pre-pulsar shuttle listed already or a link to Catagolue or some other place.

Code: Select all

x = 71, y = 20, rule = B3/S23
31b3o3b3o2$32bo5bo$28b3o9b3o$8b2o6bo15bo5bo15bo6b2o$8bo6bobo35bobo6bo$
2o3b2obo7bo14b3o3b3o14bo7bob2o3b2o$o4bobo55bobo4bo$b3obo15b3o23b3o15bo
b3o$3bob2o13bo3bo21bo3bo13b2obo$19bo5bo19bo5bo$8b3o9bo3bo21bo3bo9b3o$
7bo3bo9b3o23b3o9bo3bo$6bo5bo45bo5bo$7bo3bo13b2obo13bob2o13bo3bo$8b3o
15bob3o9b3obo15b3o$24bobo4bo7bo4bobo$15bo7bob2o3b2o7b2o3b2obo7bo$14bob
o6bo23bo6bobo$15bo6b2o23b2o6bo!
p45: 86

Code: Select all

x = 33, y = 24, rule = B3/S23
3b2o6b2o13bo$2bo2bo4bo2bo10b3o$2bo2bo4bo2bo9bo$2bo2bo4bo2bo9b2o6b2o$3b
2o6b2o18bo$29bobo$29b2o2$2o$bo$bobo16b3o$2b2o6bobo7bobo$10bobo7bobo6b
2o$10b3o16bobo$31bo$31b2o2$2b2o$bobo$bo18b2o6b2o$2o6b2o9bo2bo4bo2bo$9b
o9bo2bo4bo2bo$6b3o10bo2bo4bo2bo$6bo13b2o6b2o!
p98 (currently blank on the wiki): 146

Code: Select all

x = 46, y = 46, rule = B3/S23
39bo$13b2o22b3o$14bo14b2o5bo$13bo13b3obo4b2o$13b2o11bo4bo$27b3obob2o$
2o27bobo2bo$bo30b2o$bobo$2b2o26bo$16bo14b2o$5b2o9b2o14b2o$5bobo26bo$7b
o21b5o7b2obo$3b4o25bo8bob2o$2bo$2b2ob2o27b2o$3bobo28b2o$3bobo$4bo7$41b
o$40bobo$10b2o28bobo$10b2o27b2ob2o$43bo$b2obo8bo25b4o$bob2o7b5o21bo$
11bo26bobo$12b2o14b2o9b2o$13b2o14bo$15bo26b2o$42bobo$12b2o30bo$11bo2bo
bo27b2o$11b2obob3o$14bo4bo11b2o$8b2o4bob3o13bo$9bo5b2o14bo$6b3o22b2o$
6bo!
p124 (currently blank on the wiki): 146

Code: Select all

x = 38, y = 39, rule = B3/S23
15b2o$15b2o2$23b2o$10bo12bo$11b2o8bobo$9b2o10b2o$11bo$4b2o$4b2o$32b2o$
2b6o24b2o$bo6bo$b2o2b3o22b6o$29bo3bo2bo$5bo24b2o3b2o$5bo2bo22bo$bo3bo
25bobo$obo2bo2bo22bobo$bo3bo19bo4bo5bo$5bo2bo15b2o4bo4bobo$5bo17bo6bo
5bo$24bo6bobo$b2o2b3o11b3o9bobo$bo6bo10bobo9bo$2b6o11bo2bo7b2o3b2o$20b
obo6bo3bo2bo$4b2o14b3o7b6o$4b2o$32b2o$32b2o$26bo$15b2o10b2o$14bobo8b2o
$14bo12bo$13b2o2$21b2o$21b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Scorbie » July 27th, 2021, 9:21 pm

hotdogPi wrote:
July 27th, 2021, 12:30 pm
For interesting p42s, this one is smaller than the one on the wiki at 148 cells, but it would need either a name that makes clear that it's not the pre-pulsar shuttle listed already or a link to Catagolue or some other place.
Well if you need a name to identify it, it definitely isn't a shuttle, so I guess p42 pre-pulsar hassler would be unambiguous.
Best wishes to you! - Scorbie

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 27th, 2021, 9:33 pm

Scorbie wrote:
July 27th, 2021, 9:21 pm
Well if you need a name to identify it, it definitely isn't a shuttle, so I guess p42 pre-pulsar hassler would be unambiguous.
I named it the p42 pulsar hassler since a full pulsar appears for one generation.
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Scorbie » July 27th, 2021, 9:39 pm

Freywa wrote:
July 27th, 2021, 9:33 pm
Scorbie wrote:
July 27th, 2021, 9:21 pm
Well if you need a name to identify it, it definitely isn't a shuttle, so I guess p42 pre-pulsar hassler would be unambiguous.
I named it the p42 pulsar hassler since a full pulsar appears for one generation.
You mean you're suggesting the name, right?
I think s/pre-pulsar/pulsar is okay, not sure what others think though.

Edit, for clarifying intentions, of course I intended to suggest the name in my above post as well, even if looking at it now it doesn't look like it
Best wishes to you! - Scorbie

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by MathAndCode » July 28th, 2021, 2:39 pm

hotdogPi wrote:
July 27th, 2021, 12:30 pm
p124 (currently blank on the wiki): 146

Code: Select all

x = 38, y = 39, rule = B3/S23
15b2o$15b2o2$23b2o$10bo12bo$11b2o8bobo$9b2o10b2o$11bo$4b2o$4b2o$32b2o$
2b6o24b2o$bo6bo$b2o2b3o22b6o$29bo3bo2bo$5bo24b2o3b2o$5bo2bo22bo$bo3bo
25bobo$obo2bo2bo22bobo$bo3bo19bo4bo5bo$5bo2bo15b2o4bo4bobo$5bo17bo6bo
5bo$24bo6bobo$b2o2b3o11b3o9bobo$bo6bo10bobo9bo$2b6o11bo2bo7b2o3b2o$20b
obo6bo3bo2bo$4b2o14b3o7b6o$4b2o$32b2o$32b2o$26bo$15b2o10b2o$14bobo8b2o
$14bo12bo$13b2o2$21b2o$21b2o!
I feel like there ought to be a smaller way to suppress one half of the blockade sequence (so that the other half becomes a dove).
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Sokwe » July 28th, 2021, 5:06 pm

hotdogPi wrote:
July 27th, 2021, 12:30 pm
p124 (currently blank on the wiki): 146
The p4 sparkers can be reduced by one cell each:

Code: Select all

x = 36, y = 39, rule = B3/S23
14b2o$14b2o2$22b2o$9bo12bo$10b2o8bobo$8b2o10b2o$10bo$3b2o$3b2o$31b2o$b
6o24b2o$o6bo$2o2b3o22b6o$28bo3bo2bo$4bo24b2o3b2o$4bo2bo22bo$o3bo25bobo
$o3bo2bo22bobo$o3bo19bo4bo5bo$4bo2bo15b2o4bo5bo$4bo17bo6bo5bo$23bo6bob
o$2o2b3o11b3o9bobo$o6bo10bobo9bo$b6o11bo2bo7b2o3b2o$19bobo6bo3bo2bo$3b
2o14b3o7b6o$3b2o$31b2o$31b2o$25bo$14b2o10b2o$13bobo8b2o$13bo12bo$12b2o
2$20b2o$20b2o!
-Matthias Merzenich

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by C28 » July 28th, 2021, 5:16 pm

Sokwe wrote:
July 28th, 2021, 5:06 pm
hotdogPi wrote:
July 27th, 2021, 12:30 pm
p124 (currently blank on the wiki): 146
The p4 sparkers can be reduced by one cell each:

Code: Select all

x = 36, y = 39, rule = B3/S23
14b2o$14b2o2$22b2o$9bo12bo$10b2o8bobo$8b2o10b2o$10bo$3b2o$3b2o$31b2o$b
6o24b2o$o6bo$2o2b3o22b6o$28bo3bo2bo$4bo24b2o3b2o$4bo2bo22bo$o3bo25bobo
$o3bo2bo22bobo$o3bo19bo4bo5bo$4bo2bo15b2o4bo5bo$4bo17bo6bo5bo$23bo6bob
o$2o2b3o11b3o9bobo$o6bo10bobo9bo$b6o11bo2bo7b2o3b2o$19bobo6bo3bo2bo$3b
2o14b3o7b6o$3b2o$31b2o$31b2o$25bo$14b2o10b2o$13bobo8b2o$13bo12bo$12b2o
2$20b2o$20b2o!
shift the blocks for smaller size

Code: Select all

x = 36, y = 37, rule = B3/S23
14b2o$14b2o$22b2o$9bo12bo$10b2o8bobo$8b2o10b2o$10bo$3b2o$3b2o$31b2o$b
6o24b2o$o6bo$2o2b3o22b6o$28bo3bo2bo$4bo24b2o3b2o$4bo2bo22bo$o3bo25bob
o$o3bo2bo22bobo$o3bo19bo4bo5bo$4bo2bo15b2o4bo5bo$4bo17bo6bo5bo$23bo6b
obo$2o2b3o11b3o9bobo$o6bo10bobo9bo$b6o11bo2bo7b2o3b2o$19bobo6bo3bo2bo
$3b2o14b3o7b6o$3b2o$31b2o$31b2o$25bo$14b2o10b2o$13bobo8b2o$13bo12bo$12b
2o$20b2o$20b2o!

Code: Select all

x = 11, y = 15, rule = B3/S23
9bo$8bobo$8bobo$9bo8$b3o$b3o$obo$2o!
can we make a (13,4)c/41 spaceship?

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by MathAndCode » July 29th, 2021, 12:21 am

This variant of caterer on figure eight has the same minimum population as the version in the LifeWiki, but its bounding box is smaller. Does that count?

Code: Select all

x = 9, y = 16, rule = B3/S23
6b2o$6b2o$6bo$2bob5o$bo3b3o$2bo3$5bo2$3b3obo$2bob2o$2b2obo$ob3o2$2bo!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » July 29th, 2021, 1:11 am

MathAndCode wrote:
July 29th, 2021, 12:21 am
This variant of caterer on figure eight has the same minimum population as the version in the LifeWiki, but its bounding box is smaller. Does that count?
For LCM oscillators I do not use bounding box as a tiebreaker and simply include one of potentially many ways to have the sparks interact. But if ever I introduce a SKOBB (bounding box) category that would count.
Princess of Science, Parcly Taxel

Code: Select all

x = 31, y = 5, rule = B2-a/S12
3bo23bo$2obo4bo13bo4bob2o$3bo4bo13bo4bo$2bo4bobo11bobo4bo$2bo25bo!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Sokwe » August 22nd, 2021, 4:48 am

This p18 phase shift oscillator originally posted here ties the record for smallest p18:

Code: Select all

x = 16, y = 12, rule = B3/S23
3b2o4b2o$4bo6bo$2bo5bo$2b2o4bo3bo$5bo2bo3b4o$4obo4bo$o$bobob3o$2ob2o3b
o$2bo3b2o$2bob2o$3bobo!
-Matthias Merzenich

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Entity Valkyrie 2 » August 22nd, 2021, 8:49 am

hotdogPi wrote:
July 27th, 2021, 12:30 pm
p45: 86

Code: Select all

x = 33, y = 24, rule = B3/S23
3b2o6b2o13bo$2bo2bo4bo2bo10b3o$2bo2bo4bo2bo9bo$2bo2bo4bo2bo9b2o6b2o$3b
2o6b2o18bo$29bobo$29b2o2$2o$bo$bobo16b3o$2b2o6bobo7bobo$10bobo7bobo6b
2o$10b3o16bobo$31bo$31b2o2$2b2o$bobo$bo18b2o6b2o$2o6b2o9bo2bo4bo2bo$9b
o9bo2bo4bo2bo$6b3o10bo2bo4bo2bo$6bo13b2o6b2o!
84:

Code: Select all

x = 27, y = 28, rule = B3/S23
17bo$17bo$7b3o6b3o$6bo3bo$5bo5bo$16b3o$4bo7bo4bo$4bo7bo4bo$17bo$5bo5bo
5bo$6bo3bo5b3o$7b3o2$16b3o$bo15bo6b3o$bo15bo6b3o$obo22bo$bo23bo$bo14bo
8bo$bo13bobo6bobo$bo13bobo$obo12bobo$bo6bo15bobo$bo5bobo15bo$7b2o16bo$
25bo$24b3o$24b3o!
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
StateInvestigator 3.0
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

Sokwe
Moderator
Posts: 2011
Joined: July 9th, 2009, 2:44 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Sokwe » August 22nd, 2021, 9:28 am

Entity Valkyrie 2 wrote:
August 22nd, 2021, 8:49 am
hotdogPi wrote:
July 27th, 2021, 12:30 pm
p45: 86
84
81 cell "interesting" p45:

Code: Select all

x = 26, y = 32, rule = B3/S23
6bo$5bobo$4bo3bo$4bo3bo$4bo3bo6bo$4bo3bo6bo$4bo3bo5bobo$4bo3bo6bo$5bob
o7bo$6bo8bo$15bo$7bo6bobo$6bo8bo$6bo8bo4$6bo2bo$5b2o2bo$5bo2b2o6bo6bo$
5b2o8b2o6b2o$14b3o6b3o$15b2o6b2o$16bo6bo4$2b2o6b2o$o4bo2bo4bo$o4bo2bo
4bo$o4bo2bo4bo$2b2o6b2o!
There my be a smaller solution. I didn't try all pentadecathlon placements.
-Matthias Merzenich

hotdogPi
Posts: 455
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » August 25th, 2021, 6:59 am

We have a new SKOP128, just days after the previous one:

Code: Select all

x = 38, y = 33, rule = B3/S23
8b4o$7bo7b2o$7bo3b2o2b2o$8bo2b2o4$31b2o$30bo2bo$29bo2bo$29bo6bo$28bo2b
o3bobo$29b3o3b2o$5b2o9b3o$4bo2bo8bobo10b3o3b2o$5bo2bo6bo2bo9bo2bo3bobo
$bo6bo6bobo11bo6bo$obo3bo2bo6bo12bo2bo$b2o3b3o21bo2bo$31b2o$b2o3b3o$ob
o3bo2bo$bo6bo$5bo2bo$4bo2bo$5b2o4$25b2o2bo$21b2o2b2o3bo$21b2o7bo$26b4o!
Previously 118 cells, now 108.
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

Sokwe
Moderator
Posts: 2011
Joined: July 9th, 2009, 2:44 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Sokwe » August 26th, 2021, 2:50 am

For those who want to maintain the wiki table of "interesting" oscillators, it has been moved here. This is intended to be temporary, until there is a clear and widely-accepted definition of "interesting" (does it include glider loops, glider shuttles, Herschel loops, traffic jams, bi-block hasslers, blinker hasslers, etc.?).
-Matthias Merzenich

hotdogPi
Posts: 455
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » August 28th, 2021, 10:34 am

Are these the smallest LCMs of 76×2, 3, 4, 5, 7, 11, and 15? (94, 98, 103, 100, 116, 120, 94)

Code: Select all

x = 45, y = 30, rule = B3/S23
20b2o$20b2o$31b2o8b2o$6b2o23bo2b6o2bo$15b2o15b2o6b2o$5bo3bo5b4o10b3o
10b3o$4bo4bo5bo3b2o8bo2bobo4bobo2bo$3bobobo3bobo4b5o7b2o4b2o4b2o$2bobo
bo9bobo2bobo$o4bo5bobo2bo6bo$o3bo11bo5bo$17b2o$2b2o15bo11b2o$22bo7bo2b
o$21bobo6bobo$20bo2bo7bo$21b2o11bo$35b2o$31bo5bo$30bo6bo2bobo$30bobo2b
obo$10b2o4b2o4b2o7b5o4bobo$9bo2bobo4bobo2bo8b2o3bo$9b3o10b3o10b4o$12b
2o6b2o15b2o$11bo2b6o2bo$11b2o8b2o$32b2o$32b2o!

Code: Select all

x = 44, y = 29, rule = B3/S23
bo2bo14b2o$4bo14b2o$o4bo24b2o8b2o$2o2bobo23bo2b6o2bo$5bob2o5b2o15b2o6b
2o$14b4o10b3o10b3o$14bo3b2o8bo2bobo4bobo2bo$5bo2bobobo4b5o7b2o4b2o4b2o
$5b2o8bobo2bobo$10bobo2bo6bo$15bo5bo$16b2o$18bo11b2o$21bo7bo2bo$20bobo
6bobo$19bo2bo7bo$20b2o11bo$34b2o$30bo5bo$29bo6bo2bobo$29bobo2bobo$9b2o
4b2o4b2o7b5o4bobo$8bo2bobo4bobo2bo8b2o3bo$8b3o10b3o10b4o$11b2o6b2o15b
2o$10bo2b6o2bo$10b2o8b2o$31b2o$31b2o!

Code: Select all

x = 45, y = 29, rule = B3/S23
20b2o$7b2o11b2o$4b2obo23b2o8b2o$b2obo2bo23bo2b6o2bo$o3bob2o7b2o15b2o6b
2o$bobo4bo6b4o10b3o10b3o$bo13bo3b2o8bo2bobo4bobo2bo$6bo2bobobo4b5o7b2o
4b2o4b2o$6bobo7bobo2bobo$7bo3bobo2bo6bo$16bo5bo$17b2o$19bo11b2o$22bo7b
o2bo$21bobo6bobo$20bo2bo7bo$21b2o11bo$35b2o$31bo5bo$30bo6bo2bobo$30bob
o2bobo$10b2o4b2o4b2o7b5o4bobo$9bo2bobo4bobo2bo8b2o3bo$9b3o10b3o10b4o$
12b2o6b2o15b2o$11bo2b6o2bo$11b2o8b2o$32b2o$32b2o!

Code: Select all

x = 43, y = 29, rule = B3/S23
18b2o$18b2o$b2o26b2o8b2o$bo2b3o22bo2b6o2bo$2b2o9b2o15b2o6b2o$7bo5b4o
10b3o10b3o$7bo5bo3b2o8bo2bobo4bobo2bo$2b2o5bobo4b5o7b2o4b2o4b2o$bo2b3o
7bobo2bobo$b2o6bobo2bo6bo$14bo5bo$15b2o$17bo11b2o$20bo7bo2bo$19bobo6bo
bo$18bo2bo7bo$19b2o11bo$33b2o$29bo5bo$28bo6bo2bobo$28bobo2bobo$8b2o4b
2o4b2o7b5o4bobo$7bo2bobo4bobo2bo8b2o3bo$7b3o10b3o10b4o$10b2o6b2o15b2o$
9bo2b6o2bo$9b2o8b2o$30b2o$30b2o!

Code: Select all

x = 50, y = 32, rule = B3/S23
$3b2o5b2o$3b2o5b2o$25b2o$25b2o$36b2o8b2o$3b2o5b2o24bo2b6o2bo$2bo2bo3bo
2bo7b2o15b2o6b2o$bo3bo3bo3bo6b4o10b3o10b3o$5b2ob2o10bo3b2o8bo2bobo4bob
o2bo$o5bobo5bobobo4b5o7b2o4b2o4b2o$bo3bo3bo3bo7bobo2bobo$5bo3bo6bobo2b
o6bo$2bo9bo8bo5bo$2bo2bo3bo2bo9b2o$3b2o5b2o12bo11b2o$27bo7bo2bo$26bobo
6bobo$25bo2bo7bo$26b2o11bo$40b2o$36bo5bo$35bo6bo2bobo$35bobo2bobo$15b
2o4b2o4b2o7b5o4bobo$14bo2bobo4bobo2bo8b2o3bo$14b3o10b3o10b4o$17b2o6b2o
15b2o$16bo2b6o2bo$16b2o8b2o$37b2o$37b2o!

Code: Select all

x = 58, y = 34, rule = B3/S23
7bo$6bo2bo$4bo5bo6bo7b2o$4bo6bo4bobo6bo$8bo2bo11bobo$10bobo3bo2bo3b2o
8b2o$5b2ob2o2bobo3b2o13b2o$7b2o3bobo2b2ob2o22b2o8b2o$2b2o3bo2bo3bobo
27bo2b6o2bo$bobo11bo2bo9b2o15b2o6b2o$bo6bobo4bo6bo5b4o10b3o10b3o$2o7bo
6bo5bo5bo3b2o8bo2bobo4bobo2bo$17bo2bo3bobo4b5o7b2o4b2o4b2o$19bo9bobo2b
obo$24bobo2bo6bo$29bo5bo$30b2o$32bo11b2o$35bo7bo2bo$34bobo6bobo$33bo2b
o7bo$34b2o11bo$48b2o$44bo5bo$43bo6bo2bobo$43bobo2bobo$23b2o4b2o4b2o7b
5o4bobo$22bo2bobo4bobo2bo8b2o3bo$22b3o10b3o10b4o$25b2o6b2o15b2o$24bo2b
6o2bo$24b2o8b2o$45b2o$45b2o!

Code: Select all

x = 44, y = 29, rule = B3/S23
19b2o$3b3o13b2o$2bo3bo23b2o8b2o$bo5bo22bo2b6o2bo$14b2o15b2o6b2o$o7bo5b
4o10b3o10b3o$o7bo5bo3b2o8bo2bobo4bobo2bo$10bobo4b5o7b2o4b2o4b2o$bo5bo
7bobo2bobo$2bo3bo3bobo2bo6bo$3b3o9bo5bo$16b2o$18bo11b2o$21bo7bo2bo$20b
obo6bobo$19bo2bo7bo$20b2o11bo$34b2o$30bo5bo$29bo6bo2bobo$29bobo2bobo$
9b2o4b2o4b2o7b5o4bobo$8bo2bobo4bobo2bo8b2o3bo$8b3o10b3o10b4o$11b2o6b2o
15b2o$10bo2b6o2bo$10b2o8b2o$31b2o$31b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

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