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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Kazyan
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Kazyan » August 28th, 2021, 11:39 am

Most of those appear optimal, but there's a rattlesnake placement that allows for a 115-cell SKOP836:

Code: Select all

x = 42, y = 32, rule = B3/S23
3bo$b3o$o3b2o$b3o2bo$3bobobob2obo$3b3obobob2o20b2o$6b2o20b2obo4bob2o$
7bo20bo10bo$29b2o6b2o$26b3o2b6o2b3o$26bo2bo8bo2bo$3b2o22b2o10b2o$3bo$
4bo$3b2o2$14bo18bo$14b2o16b2o$16bo14bo$14b2o16b2o$14bo18bo5$7b2o10b2o$
6bo2bo8bo2bo$6b3o2b6o2b3o$9b2o6b2o$8bo10bo$8b2obo4bob2o$13b2o!
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Freywa
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » August 28th, 2021, 3:09 pm

hotdogPi wrote:
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)
All these oscillators have been committed (no distinction between LCMs and other oscillators now in Skopje) except 76×2 (because mold on p76 also has 94 cells and was already there) and 76×15 because of this:

Code: Select all

x = 170, y = 142, rule = B3/S23
162bo4bo$160b2ob4ob2o$162bo4bo$153bo$151b2o$152b2o134$2bo4bo$2ob4ob2o
$2bo4bo!
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 » August 28th, 2021, 3:12 pm

Freywa wrote:
August 28th, 2021, 3:09 pm
hotdogPi wrote:
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)
All these oscillators have been committed (no distinction between LCMs and other oscillators now in Skopje) except 76×2 (because mold on p76 also has 94 cells and was already there) and 76×15 because of this:

Code: Select all

x = 170, y = 142, rule = B3/S23
162bo4bo$160b2ob4ob2o$162bo4bo$153bo$151b2o$152b2o134$2bo4bo$2ob4ob2o
$2bo4bo!
76 is divisible by 4. Mold on p76 shouldn't be a period multiplier.
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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Freywa
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » August 28th, 2021, 3:14 pm

hotdogPi wrote:
August 28th, 2021, 3:12 pm
76 is divisible by 4. Mold on p76 shouldn't be a period multiplier.
Yes, that was a slip – but what was already in Skopje is this:

Code: Select all

x = 30, y = 41, rule = B3/S23
27bo2$25b3obo$24bob2o$24b2obo$3b2o17bob3o$3bobo$2obobo18bo$obobo$2bo$
b2o$3o$3o8bobo$3o8bobo$3o8b3o$b2o$2bo$obobo$2obobo$3bobo$3b2o5$20b2o$
19bobo$19bobob2o$20bobobo$22bo$22b2o$11b3o8b3o$11bobo8b3o$11bobo8b3o$
22b3o$22b2o$22bo$20bobobo$19bobob2o$19bobo$20b2o!
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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Freywa
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » September 4th, 2021, 10:55 pm

A new p8 180° reflector by A for awesome and Jormugant, paired with Elkies' reflector, yields 109 cells for 104+16n and 120 cells for 112+16n. The old records were 120 and 121 respectively:

Code: Select all

x = 33, y = 35, rule = B3/S23
2b2o2$o3bo$o4bo9bo2bobo$2bobobo6b2obob3o$3bobobo6bo6bo$4bo4bo3b2o5bo$
5bo3bo$14bo5b2o$6b2o5bo6bo$14b3obob2o$14bobo2bo$8bo$9b2o$8b2o2$3b2o$2b
obo$2bo$b2o4$25bobo2bo$25b3obob2o$11b2o4b2o5bo6bo$11b2o4b2o6bo5b2o2$
12bo11b2o5bo$11bobo3b2o6bo6bo$10bo2bo3b2o5b2obob3o$9bo2bo13bo2bobo2$9b
o2bo$11b2o!
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 praosylen » September 9th, 2021, 3:49 pm

P32, 64 cells (crossposted, credit to hotdogPi and me):

Code: Select all

x = 33, y = 16, rule = B3/S23
5b2o18bo$4bo2bo15b3o$5bo2bo13bo$bo6bo13b2o$obo3bo2bo21b2o$b2o3b3o20bo
b2o$28bo$b2o3b3o9bobo10bo$obo3bo2bo9bob2o4b2obo$bo6bo9bobo6b2o$5bo2bo
$4bo2bo$5b2o2$13b2o$13b2o!
former username: A for Awesome
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » September 10th, 2021, 11:34 am

While toying around with banana sparks I found a new SKOP276, unix on 50P92.1 at 66 cells:

Code: Select all

x = 45, y = 34, rule = B3/S23
14b2o5b2o$14b2o5b2o12$b2o$b2o2$bo$obo10b2obo3bob2o$o2bo2b2o5bo2bo3bo2b
o$4bob2o6b3o3b3o$2b2o5$26b3o14b2o$26bo3bo12b2o$26bo4bo$27bo3bo2$27bo3b
o$26bo4bo$26bo3bo12b2o$26b3o14b2o!
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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Kazyan
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Kazyan » September 10th, 2021, 11:51 am

Freywa wrote:
September 10th, 2021, 11:34 am
While toying around with banana sparks I found a new SKOP276, unix on 50P92.1 at 66 cells:

Code: Select all

x = 45, y = 34, rule = B3/S23
14b2o5b2o$14b2o5b2o12$b2o$b2o2$bo$obo10b2obo3bob2o$o2bo2b2o5bo2bo3bo2b
o$4bob2o6b3o3b3o$2b2o5$26b3o14b2o$26bo3bo12b2o$26bo4bo$27bo3bo2$27bo3b
o$26bo4bo$26bo3bo12b2o$26b3o14b2o!
With a different spark interaction site, a 62-cell variant exists using a caterer:

Code: Select all

x = 32, y = 45, rule = B3/S23
b2o5b2o$b2o5b2o16$2obo3bob2o$o2bo3bo2bo$b3o3b3o6$13b3o14b2o$13bo3bo12b
2o$13bo4bo$14bo3bo2$14bo3bo$13bo4bo$13bo3bo12b2o$13b3o14b2o4$2b3o$6bo$
bo4bo$5bo$2b2o$2bo$2bo$2bo!
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » September 10th, 2021, 12:22 pm

Kazyan wrote:
September 10th, 2021, 11:51 am
With a different spark interaction site, a 62-cell variant exists using a caterer:

Code: Select all

x = 32, y = 45, rule = B3/S23
b2o5b2o$b2o5b2o16$2obo3bob2o$o2bo3bo2bo$b3o3b3o6$13b3o14b2o$13bo3bo12b
2o$13bo4bo$14bo3bo2$14bo3bo$13bo4bo$13bo3bo12b2o$13b3o14b2o4$2b3o$6bo$
bo4bo$5bo$2b2o$2bo$2bo$2bo!
Which immediately leads to SKOP460 at 65 cells:

Code: Select all

x = 32, y = 47, rule = B3/S23
b2o5b2o$b2o5b2o16$2obo3bob2o$o2bo3bo2bo$b3o3b3o6$13b3o14b2o$13bo3bo12b
2o$13bo4bo$14bo3bo2$14bo3bo$13bo4bo$13bo3bo12b2o$13b3o14b2o2$2o$o$2bo
$2bobo2$4bobo2$6bobo2$8b2o$11bo$10b2o!
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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Freywa
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » January 12th, 2022, 4:23 pm

All 6n periods can now be realised with strictly less than 100 cells; the following construction based on here achieves 66+6n in 96, 132+12n in 86 and 264+24n in 83 (p102 shown):

Code: Select all

x = 58, y = 71, rule = B3/S23
9bo$4b2o3b3o$2obo8bo$2o2bo2bo3b2o$5bobo$6bo7b2o$14b2o$5b2o$5b2o7bo
$13b2o$13bobo7$12bo$11bobo$11bobo$12bo$16b2o$16bobo$18bo$18b2o10$
17bo21b2o$18b2o18b2o$17b2o21bo10$38b2o$39bo$39bobo$40b2o$45bo$44bo
bo$44bobo$45bo7$42bobo$43b2o$43bo7b2o$51b2o$42b2o$42b2o7bo$50bobo$
45b2o3bo2bo2b2o$45bo8bob2o$46b3o3b2o$48bo!
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 » January 13th, 2022, 4:16 pm

A p8 variant of the above found by Kazyan on Discord achieves 108 cells for 128+8n to 240 and 103 for 248+8n. This both ties the fixed SKOP128 and displaces the p256 gun as the smallest SKOP256:

Code: Select all

x = 93, y = 68, rule = B3/S23
11b2o60b2o$11b2o60b2o3$11bo61bo$9bobo59bobo$7bo2b2o57bo2b2o$b2o5b2o53b
2o5b2o$b2o5bo54b2o5bo2$bo5b2o54bo5b2o$obo4b2o53bobo4b2o$o2bo58bo2bo$bo
2bo5b2o51bo2bo5b2o$10b2o60b2o$bo2bo58bo2bo$b2o7bo52b2o7bo$9b2o60b2o$9b
obo59bobo7$8bo61bo$7bobo59bobo$7bobo59bobo$8bo61bo$12b2o60b2o$12bobo
59bobo$14bo61bo$14b2o60b2o2$76b2o$15b2o60bo$16bo60bobo$16bobo59b2o$17b
2o64bo$22bo59bobo$21bobo58bobo$21bobo59bo$22bo7$19bobo$20b2o67b2o$20bo
7b2o59b2o$26bo2bo50b2o$19b2o59b2o7bo$19b2o5bo2bo58bobo$27bo2bo52b2o3bo
2bo$22b2o4bobo52b2o4bo2bo$22b2o5bo$89bo2bo$22bo5b2o53bo5b2o$21b2o5b2o
51bobo$19b2o2bo55bo2b2o$19bobo58b2o$19bo60bo2$79b2o$18b2o59b2o$18b2o!
Princess of Science, Parcly Taxel

Code: Select all

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

Jormungant
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Jormungant » January 13th, 2022, 4:28 pm

Interesting, I never though it was common for such a reaction to work and be a substitute to a eater. You can also use a p4 oscillator there, saves 2 rows too.

Code: Select all

x = 101, y = 68, rule = B3/S23
11b2o60b2o$12bo7bo53bo7bo$12bobo3b3o53bobo3b3o$13b2o2bo57b2o2bo$18bo
61bo$9b2o5b2o53b2o5b2o$9b2o5bo54b2o5bo2$9bo5b2o54bo5b2o$8bobo4b2o53bob
o4b2o$8bo2bo58bo2bo$9bo2bo5b2o51bo2bo5b2o$18b2o60b2o$9bo2bo58bo2bo$9b
2o7bo52b2o7bo$17b2o60b2o$17bobo59bobo7$16bo61bo$15bobo59bobo$15bobo59b
obo$16bo61bo$20b2o60b2o$20bobo59bobo$22bo61bo$22b2o60b2o2$84b2o$23b2o
60bo$24bo60bobo$24bobo59b2o$25b2o64bo$30bo59bobo$29bobo58bobo$29bobo
59bo$30bo7$27bobo$28b2o67b2o$28bo7b2o59b2o$34bo2bo50b2o$27b2o59b2o7bo$
27b2o5bo2bo58bobo$35bo2bo52b2o3bo2bo$30b2o4bobo52b2o4bo2bo$30b2o5bo$
91bo5bo2bo$30bo5b2o52b2o5b2o$29b2o5b2o51bo$28bo61bo2b2o$29bo2b2o53b3o
3bobo$26b3o3bobo52bo7bo$26bo7bo60b2o$34b2o!

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » January 22nd, 2022, 11:44 am

Reductions for 57, 69, 81, and 129 (and maybe something higher?), found by iNoMed:

Code: Select all

x = 71, y = 68, rule = B3/S23
10bo$9bobo$10bo$9bo$7b3o$11b3o2$7b3o$9bob3o$13bo$8bob3o11bo$6b5o14bo$
6b3o14b3o2$2o$bo$bobo14b2o$2b2o6bo6bo2bo$8bo2bo6b2o$8bo2bo$8bobo$21b2o
$21bo$22b3o11bo$24bo12b2o$36b2o4$20b2o$20bobo$20bo5$50bo$48bobo$49b2o
4$33b2o$32b2o12bo$34bo11b3o$49bo$48b2o$60bobo$59bo2bo$51b2o6bo2bo$50bo
2bo6bo6b2o$51b2o14bobo$69bo$69b2o2$45b3o14b3o$45bo14b5o$46bo11b3obo$
57bo$57b3obo$61b3o2$57b3o$61b3o$61bo$60bo$59bobo$60bo!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Ian07 » February 11th, 2022, 5:13 pm

Crossposting 32P21, 44P168, and 66P231:

Code: Select all

x = 16, y = 18, rule = B3/S23
5b2o$5b2o2$bo$obo3bo$bo4bo$5bo$9b2o$5b2o2b2o$5b2o2b2o$5b2o$10bo$9bo4bo$9bo3bo
bo$14bo2$9b2o$9b2o!

Code: Select all

x = 24, y = 19, rule = B3/S23
2b2o2$o3bo$o4bo13bo$2bobobo11bobo$3bobobo10bo2bo$4bo4bo$5bo3bo12bo$12b
2o9bo$6b2o3bo2bo2bobo3bo$11b3o2b2o4bo$7bo4b2o2b3o$6bo3bobo2bo2bo$6bo9b
2o$7bo2$8bo2bo$9bobo$10bo!

Code: Select all

x = 22, y = 27, rule = B3/S23
5b2o$5b2o2$bo$obo$bo3b3o$9bo$5bo4bo$5bo3bo$6bo3bo$5bo4bo$6bo$8b3o3bo4b
2o$13bobo2bobo$14bo3bo$17b2o$9b2o$9b2o2$14b2o$14bob2o$9b2obobobobo$9bo
b2obobo$15bo2b3o$16b2o3bo$18b3o$18bo!
(will edit this post with any additional LCMs that are found)

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » February 13th, 2022, 9:43 am

LCM(21,27) = 189; 88 cells

Code: Select all

x = 42, y = 36, rule = B3/S23
15b2o$15b2o3$13bo$11b3o$10bo2bo$9bob2o$11b2o$22bo$23bo$21b2obo$21b2obo
$2o21b3o$2o$28b2o$4b3o21b2o$5bob2o$5bob2o22b2o$6bo24b2o$7bo$17b2o8bo$
17b2obo5bobo$16bo2bo7bo3b2o$16b3o$16bo14b2o2b2o$31b2obo2bo$30bo2bob2o$
13b2o16b2o2b2o$13b2o$35b2o3bo$39bobo$40bo2$35b2o$35b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Book » April 23rd, 2022, 2:56 pm

Trying to complete the "Table of oscillators by period" wiki page. Missing SKOPs for the following periods: 95,136,174,176,192,198,204,222,248,252,264,272,294,296,318,324,328,336,344,348,352,366,372,376,384
but they are not colored white which suggests we know something about them.

All contributions in the form of an rle or apgcode gratefully accepted.
Phil Bookman

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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » May 11th, 2022, 9:16 am

84 × 3, 4, 5

Code: Select all

x = 154, y = 34, rule = B3/S23
71bo5bo59b2o4b2o$71bo5bo59bobo2bobo$69b4o3b4o59bo2bo$68b2o9b2o57bo4bo$
67b3o2b2ob2o2b3o56bo4bo$9b2o56b2o3b2ob2o3b2o56bo4bo$6b2o2bo57b3obo3bob
3o59b2o$6bo3bobo56b2o7b2o$7b3obobo56b3o3b3o$9bo3bo58b2ob2o73bo$5b3obo
3bob2o54bobobobo70b3o$4bo2bobobobob2o55bo3bo70bo$4b2o2b2obobo105b2o17b
3o6b2o$12b2o85bo20bo16bo3bo$31bo65b3o20bobo13bo5bo$29b3o64bo24b2o13bo
5bo$28bo39b2o17b3o6b2o38bo5bo$2o17b3o6b2o39bo16bo3bo46bo3bo$bo16bo3bo
46bobo13bo5bo46b3o$bobo13bo5bo46b2o13bo5bo40b3o$2b2o13bo5bo61bo5bo39bo
3bo$17bo5bo62bo3bo39bo5bo$18bo3bo64b3o40bo5bo13b2o$19b3o59b3o46bo5bo
13bobo$13b3o64bo3bo46bo3bo16bo$12bo3bo62bo5bo38b2o6b3o17b2o$11bo5bo61b
o5bo13b2o24bo$11bo5bo13b2o46bo5bo13bobo20b3o$11bo5bo13bobo46bo3bo16bo
20bo$12bo3bo16bo39b2o6b3o17b2o$5b2o6b3o17b2o39bo$6bo64b3o$3b3o65bo$3bo
!
Book, by the way, the ones that are unknown in the table on the wiki are labeled "p8 shuttle".
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

Book
Posts: 385
Joined: August 28th, 2021, 2:38 pm
Location: California
Contact:

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Book » May 11th, 2022, 1:40 pm

We're getting there!
Book, by the way, the ones that are unknown in the table on the wiki are labeled "p8 shuttle".
I'm not sure what you mean. Please explain. Thx. (95,136,176,248,272,296,328,344,352,376)
Phil Bookman

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » May 11th, 2022, 1:56 pm

Book wrote:
May 11th, 2022, 1:40 pm
We're getting there!
Book, by the way, the ones that are unknown in the table on the wiki are labeled "p8 shuttle".
I'm not sure what you mean. Please explain. Thx. (95,136,176,248,272,296,328,344,352,376)
It's labeled that way in Freywa's collection.

A small sample of what's in that output: (may not be up to date)

Code: Select all

340 ['p4 bumper loop']
341 ['2G rectifier loop']
342 ['4G unix loop']
343 ['6G rectifier loop']
344 ['p8 shuttle']
345 ['2G rectifier loop']
346 ['1G rectifier loop']
347 ['6G rectifier loop']
348 ['2G unix loop']
349 ['2G rectifier loop']
350 ['3G rectifier loop']
351 ['6G rectifier loop']
352 ['p8 shuttle']
353 ['2G rectifier loop']
354 ['p6 thumb shuttle']
355 ['6G rectifier loop']
356 ['p4 bumper loop']
357 ['2G rectifier loop']
358 ['3G rectifier loop']
359 ['6G rectifier loop']
360 ['LCM(9,40)']
The p8 shuttle comment does not apply to 95, which is this:

Code: Select all

x = 129, y = 110, rule = B3/S23
5b2o$4bo2bo$4b2obo$5bob2o$o2bo3bo$4obob2o$8bo$2b3o3bo$2bo2bo2b2o$3b2o
4bob2ob2o$10bo4bo$11bo$11bo2bo$7b2o$8bo$8bobo14b2o$9b2o6bo6bo2bo$15bo
2bo6b2o$15bo2bo$15bobo$28b2o12bo$28bo14bo$29b3o9b3o$31bo16$38b2o$38bob
o$38bo3$65bo$66b2o$65b2o17$62b2o$61b2o$63bo3$90bo$88bobo$89b2o16$97bo$
85b3o9b3o$85bo14bo$86bo12b2o$111bobo$110bo2bo$102b2o6bo2bo$101bo2bo6bo
6b2o$102b2o14bobo$120bo$120b2o$114bo2bo$117bo$113bo4bo$113b2ob2obo4b2o
$119b2o2bo2bo$120bo3b3o$120bo$120b2obob4o$121bo3bo2bo$120b2obo$121bob
2o$121bo2bo$122b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

Book
Posts: 385
Joined: August 28th, 2021, 2:38 pm
Location: California
Contact:

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Book » May 11th, 2022, 5:22 pm

Phil Bookman

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » May 18th, 2022, 10:24 am

30P25 × 2, 3, 4, 6, 7, 8, 9, 11, 13, and 22

Code: Select all

x = 155, y = 200, rule = B3/S23
57b2o$57bo$55bobo28bo$49bo2bo2b2o29b3o$49bo2bo36bo$48bo4bo34b2o55b2o$
52bo92bo$49b2obo38bo51bobo$89b2ob2o43bo2bo2b2o$137bo2bo$59bo33bo42bo4b
o$57b2o30b2o2bo6bo39bo$45bob2o10b2o30bo6bo2b2o34b2obo$45bo12bo39bo$44b
o4bo$45bo2bo8bo5bo34b2ob2o$41b2o2bo2bo4b4obo4bobo34bo$40bobo10b3obobo
2bobo68bob2o$40bo17bobo3bo37b2o29bo$39b2o18bo42bo29bo4bo$49bo3b2o3b2o
43b3o27bo2bo6b3o$47b2o4bobo2b2o45bo23b2o2bo2bo4bob3o$49b2o3b2o2b2o68bo
bo9bobobo$48bo79bo11bo2bo$93b8o26b2o12b2o$53bo39bob4obo$53bobo37b8o$
52bobo$54bo14$61b2o79b2o$61bo39b2o39bo$3b2o54bobo39bo38bobo$2bobo50bo
3b2o38bobo34bo3b2o$b3o49b2o40bo3b2o33b2o$b2o19b2o29b2o38b2o39b2o$2bobo
17bo27bo3bo3bo34b2o36bo3bo3bo$3bobo2b2o10bobo25b3o3bo3bobo29bo3bo3bo5b
2o23b3o3bo3bobo$4bo2bobo4bo2bo2b2o26b3o3b2o32b3o3bo3bobo28b3o3b2o$5b4o
5bo2bo29b3o4b2o32b3o3b2o6bo3bo21b3o4b2o$6b2o5bo4bo31b2o4b3o3b2o23b3o4b
2o6bo4bo23b2o4b3o$17bo32b2o3b3o4bo27b2o4b3o5bobobo22b2o3b3o$14b2obo27b
obo3bo3b3o5bo26b2o3b3o7bobobo16bobo3bo3b3o$47bo3bo3bo6b2o21bobo3bo3b3o
8bo4bo16bo3bo3bo5bo7bo$51b2o5bo28bo3bo3bo11bo3bo20b2o5bo13bo$51b2o4bo
3b3o27b2o39b2o5bo4bo3bo4bo$45b2o3bo13bo26b2o15b2o16b2o3bo12bo3bo$10bob
2o30bobo9bobo2b2o2bo19b2o3bo34bobo10bob2obo5bob2obo$10bo33bo9b3obobo2b
2o19bobo38bo12b2o3b2o3b2o3b2o$9bo4bo28b2o8bo4b2ob2o21bo39b2o18b5o$10bo
2bo40b4o4bo20b2o60b3o$6b2o2bo2bo44b4o84bo$5bobo48bo2bo$5bo50b2o$4b2o
137b2o3b2o$144bo3bo$141b3o5b3o$141bo9bo5$97bobobobo$96bob2ob2obo$94b3o
7b3o$93bo4b2ob2o4bo$93bo2b2obobob2o2bo$18b2o72b2obobo5bobob2o$18bo74bo
bo2b2ob2o2bobo$16bobo74bobo3b3o3bobo$12bo3b2o76bo11bo$10b2o$10b2o72b2o
$7bo3bo3bo69bo$5b3o3bo3bobo67bobo12bo$5b3o3b2o73b2o3bo7bobo$4b3o4b2o
79b2o$7b2o4b3o76b2o5bo3bo$7b2o3b3o73bo3bo3bo6bo$2bobo3bo3b3o71bobo3bo
3b3o3bo$4bo3bo3bo78b2o3b3o4b3o$8b2o7b3o71b2o4b3o5bo$8b2o5b3obo68b3o4b
2o$2b2o3bo11bob2o66b3o3b2o$bobo9bo3b3o2bo66b3o3bo3bobo$bo11bo2b2o2b2o
69bo3bo3bo$2o7b2o3b2o2b2o74b2o$9bo2bobobo2bo74b2o$11b2o2b4o77bo3b2o$
12bo87bobo$11bo5b2o83bo$11b2o4b2o83b2o55$40bo$40b3o$43bo$42b2o2$45bo$
43b2ob2o2$47bo$43b2o2bo6bo$45bo6bo2b2o$52bo2$52b2ob2o$54bo$42bo$42b3o
11b2o$45bo10bo$44b2o11b3o$45b3o11bo$46b3o$46b4o$49b2o$49b3o$46b2obo$
46b2o6$46b2o$44bob2o$42b3o$43b2o$44b4o$45b3o$46b3o$48b2o$48bo$49b3o$
51bo!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » May 26th, 2022, 8:20 am

LCM(102,4) = 204 with 79 cells, assuming it beats the unix shuttle

Code: Select all

x = 41, y = 28, rule = B3/S23
25b2o$17b2o5bo2bo$18bo5bobo2bo$15b3o7bo$15bo10b2obo$28bo$36bo2bo$36bo$
35bo4bo$34bobo2b2o$32b2obo$27bo$26bobo$26bo5bo2bo$5b2o20b3o4b2o$5b2o
21bo$5b2o$6bo$5bobo$3obobo15b2o$4obo15bobo2b2o$4bo16b2o4b2o3$25bo$23b
3o$22bo$22b2o!
LCM(102,8) = 408 with [s]80[/s] 79 cells (didn't make it to the pull request in time, sorry)

Code: Select all

x = 41, y = 31, rule = B3/S23
32b2o2$31bo3bo$30bo4bo$17b2o10bobobo$18bo9bobobo$15b3o8bo4bo$15bo10bo
3bo2$28b2o$24bo10b2o$13bo10bo2bo7b2o2b2o$11b2ob2o4bo7bo4b2obo2b2o$14b
6ob2o3bobo4b3o$10bo3b5o4b2o2bo$13bo2bo7b3o$10b2ob2o2b3o3b2obo7b2o$5b2o
6bo4b4o12b2o$4bo2bo5b2o$7bo6bo$7bo$bo3bobo$o3bobo$o4bo$b4o3$25bo$23b3o
$22bo$22b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » May 28th, 2022, 9:46 pm

New SKOP63, from 78 to 74 cells: meatball on p9 thumb

Code: Select all

x = 24, y = 13, rule = B3/S23
16b2o$7b2o7bobo$2b3o2bobo8bo2b2o$2bo2b3obo6bobobobo$bob3obob2o4bo2bobo
$3o2b4o2bo2bo5bo2bo$3o7b3o5bo2b3o$bo2b4o2b3o4b4o$2b2obob3obo3bo5bo$3bo
b3o2bo4b6o$3bobo2b3o$4b2o11b2o$17b2o!
New SKOP77, from 77 to 71 cells: meatball on rattlesnake (does this sound appetizing or not?)

Code: Select all

x = 25, y = 15, rule = B3/S23
15bo$13b3o$12bo3b2o$13b3o2bo$7b2o6bobobob2obo$2b3o2bobo6bo2bobob2o$2bo
2b3obo5bo2b2o$bob3obob2o9bo$3o2b4o2bo2bo$3o7b3o6bo$bo2b4o2b3o$2b2obob
3obo3b2o$3bob3o2bo4bo$3bobo2b3o5bo$4b2o9b2o!
New SKOP91, from 78 to 72 cells: meatball on Beluchenko's p13, and this one is amazing as it interacts twice with both taking turns being the domino

Code: Select all

x = 26, y = 19, rule = B3/S23
16b2o$16b2o2$20bo$19bob2obo$18bo4b3o$10b2o6bo2bo$10b2o7b2o2b2o$b2o4bo
7b2o$b3ob2obo5bo2bo$o7bo4bo3bo$5b2ob2o4bobo$2bo3bo2bo4bo$2bo5bo6bobo$b
o2bo3bo5b2obo$b2ob2o9bo$2bo7bo$2bob2ob3o$3bo4b2o!
New SKOP175, from 71 to 68 cells: meatball on 30P25, also interacts twice

Code: Select all

x = 32, y = 20, rule = B3/S23
12b2o$13bo$13bobo$7b2o5b2o3bo$2b3o2bobo10b2o$2bo2b3obo10b2o$bob3obob2o
5bo3bo3bo$3o2b4o2bo2bobo3bo3b3o$3o7b3o6b2o3b3o$bo2b4o2b3o6b2o4b3o$2b2o
bob3obo4b3o4b2o$3bob3o2bo6b3o3b2o$3bobo2b3o6b3o3bo3bobo$4b2o13bo3bo3bo
$22b2o$22b2o$24bo3b2o$28bobo$30bo$30b2o!
New SKOP189, from 116 to 94 cells: meatball on 56P27, also interacts twice

Code: Select all

x = 33, y = 35, rule = B3/S23
18b2o$18bo2bo3$16bo4bo$16bo2b2o$16b2o$12b2o$12b3o6bobo$11bo3bo8b2o$14b
3o2b2o3b2o$4bo2bo3bo3bo4bobobo$8bo4b2o6b3o$3bo4bo4bo8bo3b3o$3b2o21bo$
9bo21b2o$7b3o3bo8bo4bo4bo$12b3o6b2o4bo$11bobobo4bo3bo3bo2bo$10b2o3b2o
2b3o$10b2o8bo3bo$12bobo6b3o$22b2o$18b2o$7b2o6b2o2bo$2b3o2bobo4bo4bo$2b
o2b3obo$bob3obob2o$3o2b4o2bo2bo2bo$3o7b3o3b2o$bo2b4o2b3o$2b2obob3obo$
3bob3o2bo$3bobo2b3o$4b2o!
Somehow 217 was missed before entirely (it works equally well with meatball or 38P7.2) (86 cells)

Code: Select all

x = 35, y = 24, rule = B3/S23
19b2o7b2o$19b2o7b2o6$16bobo11bobo$15bo2b2o9b2o2bo$3bo3b2o9b3o7b3o$2b4o
3bo7bo2b2o5b2o2bo$bo5bobo4bo2bob3o5b3obo2bo$o2bo5b2o3bo2bob3o5b3obo2bo
$5bob2o3bo4bo2b2o5b2o2bo$3b2o3b2o8b3o7b3o$o3b2obo7bo2b2o9b2o2bo$2b2o5b
o2bo3bobo11bobo$3bobo5bo$3bo3b4o$4b2o3bo3$19b2o7b2o$19b2o7b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

User avatar
Freywa
Posts: 877
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
Contact:

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Freywa » May 29th, 2022, 12:27 am

New SKOP49 using the meatball in 188 cells:

Code: Select all

x = 81, y = 62, rule = B3/S23
11b4o$10bo4bo$8b3o4b2o$7bo6bobo$8bob2obo$8bo2bobo2bo$11bob2obo$8bobo6b
o$8b2o4b3o12bo$9bo4bo15b2o$10b4o15b2o$4b2o$bo2bo2bo$obobob2o$bo2bo2bob
o14b2o$4b2o2b2o13bo2bo$15b3o6b2o$13b2ob2o$15bo$27b2o$27bo14bo$28b3o12b
o$30bo10b3o4$26bo$25b2o$25bobo5$53bobo$54b2o$54bo4$37b3o10bo$37bo12b3o
$38bo14bo$52b2o$65bo$63b2ob2o$55b2o6b3o$54bo2bo13b2o2b2o$55b2o14bobo2b
o2bo$73b2obobobo$73bo2bo2bo$75b2o$50b2o15b4o$49b2o15bo4bo$51bo12b3o4b
2o$63bo6bobo$64bob2obo$64bo2bobo2bo$67bob2obo$64bobo6bo$64b2o4b3o$65bo
4bo$66b4o!
Princess of Science, Parcly Taxel

Code: Select all

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

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi » June 8th, 2022, 8:36 am

Somehow these got missed.

Octagon 2 on Merzenich's p31: p155, 64 cells

Code: Select all

x = 24, y = 30, rule = B3/S23
13bo2bo$13bo2bo$11b2ob2ob2o$13bo2bo$13bo2bo$11b2ob2ob2o$13bo2bo$13bo2b
o2$11b2o$8bo6bo$7bo8bo$10b4o$7b3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b
4o6$10b4o$2o7b6o7b2o$2o6b2ob2ob2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b
2o!
Blocker on Merzenich's p31: p248, 63 cells

Code: Select all

x = 24, y = 27, rule = B3/S23
16b2o$12b2obo2bob2o$12bo4bo2b2o$16bo$13bobo2$11b2o$8bo6bo$7bo8bo$10b4o
$7b3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o6$10b4o$2o7b6o7b2o$2o6b2ob
2ob2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o!
p9 thumb on Merzenich's p31: p279, 84 cells

Code: Select all

x = 24, y = 32, rule = B3/S23
10b2o$7b2o2bo$7bo3bobo$8b3obobo$12bobo$6b4ob2obob2o$5bo6bobob2o$5b2obo
5bo$9bo3b2o$10bo2$11b2o$8bo6bo$7bo8bo$10b4o$7b3o4b3o$2o6b2ob2ob2o6b2o$
2o7b6o7b2o$10b4o6$10b4o$2o7b6o7b2o$2o6b2ob2ob2o6b2o$7b3o4b3o$10b4o$7bo
8bo$8bo6bo$11b2o!
55P10 on Merzenich's p31: p310, 103 cells

Code: Select all

x = 27, y = 34, rule = B3/S23
9b2o11b2o$10bo11bo$9bo13bo$9b2o5bo5b2o$12b2obobob2o$7b5obobobobob5o$6b
o4bo3bobo3bo4bo$7b3ob2o2bobo2b2ob3o$9bo5bobo5bo2$10bo3bo3bo3bo$12bo7bo
2$11b2o$8bo6bo$7bo8bo$10b4o$7b3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o
6$10b4o$2o7b6o7b2o$2o6b2ob2ob2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o!
34P14 on Merzenich's p31: p434, 82 cells

Code: Select all

x = 24, y = 37, rule = B3/S23
12bo$11bo2bo$8b2o5bo$7bo8bo3b2o$7bo8bo3b2o$8bob2ob3o$12b2o2$12b2o$8bob
2ob3o$7bo8bo3b2o$7bo8bo3b2o$8b2o5bo$11bo2bo$12bo2$11b2o$8bo6bo$7bo8bo$
10b4o$7b3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o6$10b4o$2o7b6o7b2o$2o
6b2ob2ob2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o!
Pentadecathlon on Merzenich's p31: p465, 60 cells

Code: Select all

x = 24, y = 31, rule = B3/S23
12b2o$10bo4bo$9bo6bo$8bo8bo$8bo8bo$8bo8bo$9bo6bo$10bo4bo$12b2o2$11b2o$
8bo6bo$7bo8bo$10b4o$7b3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o6$10b4o$
2o7b6o7b2o$2o6b2ob2ob2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o!
p21 honey farm hassler on Merzenich's p31: p651, 108 cells

Code: Select all

x = 35, y = 40, rule = B3/S23
25bo$11b2o6bo5bo$11bo6bobo$3b2o3b2obo7bo3bobobo$3bo4bobo12b2o$4b3obo
12b2obo3b2o$6bob2o13bob2obobo$14b3ob2o2bo$15b2ob2obo$16bob2ob2o$15bo2b
2ob3o$7bobob2obo13b2obo$8b2o3bob2o12bob3o$13b2o12bobo4bo$10bobobo3bo7b
ob2o3b2o$17bobo6bo$12bo5bo6b2o$12bo2$11b2o$8bo6bo$7bo8bo$10b4o$7b3o4b
3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o6$10b4o$2o7b6o7b2o$2o6b2ob2ob2o6b
2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o!
Jason's p22 on Merzenich's p31: p682, 84 cells

Code: Select all

x = 32, y = 36, rule = B3/S23
24bo$22bo2bo$5b2o7bo6bo5bo$6bo6bobo4bo6bo$6bobo11bo2bo$7b2o3bo2bo3bobo
$12b2o3bobo2b2ob2o$10b2ob2o2bobo3b2o$15bobo3bo2bo3b2o$13bo2bo11bobo$9b
o6bo4bobo6bo$9bo5bo6bo7b2o$11bo2bo$12bo2$11b2o$8bo6bo$7bo8bo$10b4o$7b
3o4b3o$2o6b2ob2ob2o6b2o$2o7b6o7b2o$10b4o6$10b4o$2o7b6o7b2o$2o6b2ob2ob
2o6b2o$7b3o4b3o$10b4o$7bo8bo$8bo6bo$11b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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