Smallest Known Oscillators to p106 (and Beyond)

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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Period1GliderGun
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

106P238:

Code: Select all

x = 53, y = 42, rule = B3/S23
24b2o$24b2o$19bo$17b3o$16bo25b2o$16b2o24b2o3$2b2o$2b2o$25bo$24b3o$23b
o3bo$23b2ob2o19b2o$47bobo$2o47bo$bo47b2o$bobo$2b2o19b2ob2o$23bo3bo$24b
3o$25bo$47b2o$47b2o3$7b2o24b2o$7b2o25bo$31b3o$31bo$25b2o$25b2o19b2o$38b
o6bobo3b2o$38b2o4bo2bo3b2o$42bo3bo$42bobo2$42bobo$42bo3bo$38b2o4bo2bo
3b2o$38bo6bobo3b2o$46b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

Turns out you can shave 2 cells off of 51P384 by replacing the eater bridge snakes with figure eights (creating 49P384):

Code: Select all

x = 40, y = 19, rule = B3/S23
16b2o$16b2o3$5bo$14b3o$3b3obo$2bob2o31bo$2b2obo$ob3o30b3obo$21b2o11bo
b2o$2bo12b2obo2bo12b2obo$19bo12bob3o$16b2o$14bo2bo16bo$14bo2bo$16bo$22b
2o$22b2o!
Corollary 2-cell reductions to SKOPs 64, 128, and 192 (I'm too lazy to draw the supporting oscillators for 256 and 320, but you get the idea)

Code: Select all

x = 41, y = 92, rule = B3/S23
16b2o$16b2o2$29b2o$5bo23b2o$14b3o$3b3obo$2bob2o31bo$2b2obo$ob3o30b3ob
o$21b2o11bob2o$2bo12b2obo2bo12b2obo$19bo12bob3o$16b2o$9b2o3bo2bo16bo$
9b2o3bo2bo$16bo$22b2o$22b2o18$34b2o$34bo$17b2o13bobo$17b2o13b2o3$6bo$
15b3o$4b3obo$3bob2o31bo$3b2obo$bob3o30b3obo$22b2o11bob2o$3bo12b2obo2b
o12b2obo$20bo12bob3o$17b2o$10b2o3bo2bo16bo$10b2o3bo2bo$17bo$23b2o$23b
2o17$17b2o17b2o$17b2o17b2o3$6bo$15b3o$4b3obo$3bob2o31bo$3b2obo$bob3o30b
3obo$22b2o11bob2o$3bo12b2obo2bo12b2obo$20bo12bob3o$17b2o$10b2o3bo2bo16b
o$10b2o3bo2bo$17bo$23b2o$23b2o!
EDIT: The p64 is not SKOP. (Merzenich's p64 still exists.)
Last edited by Period1GliderGun on January 17th, 2024, 4:25 pm, edited 1 time in total.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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C28
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by C28 »

Period1GliderGun wrote: December 5th, 2023, 12:15 am Turns out you can shave 2 cells off of 51P384 by replacing the eater bridge snakes with figure eights (creating 49P384):

Code: Select all

x = 40, y = 19, rule = B3/S23
16b2o$16b2o3$5bo$14b3o$3b3obo$2bob2o31bo$2b2obo$ob3o30b3obo$21b2o11bo
b2o$2bo12b2obo2bo12b2obo$19bo12bob3o$16b2o$14bo2bo16bo$14bo2bo$16bo$22b
2o$22b2o!
Corollary 2-cell reductions to SKOPs 64, 128, and 192 (I'm too lazy to draw the supporting oscillators for 256 and 320, but you get the idea)

Code: Select all

x = 41, y = 92, rule = B3/S23
16b2o$16b2o2$29b2o$5bo23b2o$14b3o$3b3obo$2bob2o31bo$2b2obo$ob3o30b3ob
o$21b2o11bob2o$2bo12b2obo2bo12b2obo$19bo12bob3o$16b2o$9b2o3bo2bo16bo$
9b2o3bo2bo$16bo$22b2o$22b2o18$34b2o$34bo$17b2o13bobo$17b2o13b2o3$6bo$
15b3o$4b3obo$3bob2o31bo$3b2obo$bob3o30b3obo$22b2o11bob2o$3bo12b2obo2b
o12b2obo$20bo12bob3o$17b2o$10b2o3bo2bo16bo$10b2o3bo2bo$17bo$23b2o$23b
2o17$17b2o17b2o$17b2o17b2o3$6bo$15b3o$4b3obo$3bob2o31bo$3b2obo$bob3o30b
3obo$22b2o11bob2o$3bo12b2obo2bo12b2obo$20bo12bob3o$17b2o$10b2o3bo2bo16b
o$10b2o3bo2bo$17bo$23b2o$23b2o!
nice! i'm gonna go update the wiki to reflect this discovery.
mostly taking a break from CGoL for now
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HerscheltheHerschel
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by HerscheltheHerschel »

Is this SKOP P960? I can't find any information about this oscillator period.

Code: Select all

x = 20, y = 27, rule = B3/S23
bo6b2o$bo6b2obo$obo9bo$bo7bo$bo8bob2o$bo10b2o$bo$obo$bo$bo2$17bo$5bo5b
2o3bobo$5bo4bo2bobo3bo$5bo5b2o3bobo$17bo6$12b2o$10bob2o$9bo$12bo$8b2ob
o$8b2o!
superstrings, fuses, waves, wicks, and agars are cool
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by hotdogPi »

HerscheltheHerschel wrote: December 5th, 2023, 10:35 am Is this SKOP P960? I can't find any information about this oscillator period.

Code: Select all

x = 20, y = 27, rule = B3/S23
bo6b2o$bo6b2obo$obo9bo$bo7bo$bo8bob2o$bo10b2o$bo$obo$bo$bo2$17bo$5bo5b
2o3bobo$5bo4bo2bobo3bo$5bo5b2o3bobo$17bo6$12b2o$10bob2o$9bo$12bo$8b2ob
o$8b2o!
Not only does 53 cells not beat the pentadecathlon shuttle, this is a trivial oscillator.
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

119p118:

Code: Select all

x = 36, y = 36, rule = B3/S23
6b2o5b2o$5bobo6bo$b2o2bo7bo$bobob2o6b2o$3bobo$3bobo$b2o3bo$o2b3o$2obo
$3bo10b2o$3b2o9bobo$16bo$14bobo$14b2o3$6bo$5bobo$5bobo$3b2o2b2o14b3o$
4bobo2bo12bo3bo$3bo2b4obo10b2ob2o5bob2o$4b2o3bob3o18b2obo$6b2obo4bo$6b
ob2o3b2o4$34b2o$29bo2bo2bo$28bob5o$25bo2bo$25b4ob3o$29bo3bo$27bobo2b2o
$27b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

70p220, beats the p220 HF shuttle by 4 cells:

Code: Select all

x = 39, y = 19, rule = B3/S23
29b2o$29b2o3$25b2o3bo$25b2o2bobo2b3o$30bo3bo2bo$33bo3bo$32bobo3bo$2o28b
2obobobo$bo28bo3bo$bobo13b3o10bo$2b2o3bo8bo3bo10b2obo$6bob2o6bo4bo11b
o$5bo4bo6b2obo$6bo3bo8bo3b2o$7b3o13bobo$25bo$25b2o!
108p474 with semi-illegal caterer placement, not sure if it's a SKOP:

Code: Select all

x = 53, y = 38, rule = B3/S23
6bo8b2o$6b3o6bo2b2o$9bo6b2ob3o$8b2o12bo$16b2ob3o$16b2obo$41b2o$41b2o$
4b2o$4b2o$o$3o$3bo$2b2o3$11b3o$11bobo$11bobo$39bobo$39bobo$39b3o3$49b
2o$49bo$50b3o$52bo$18bo28b2o$16bo3b4o23b2o$10b2o4bo3bo$10b2o4bo$19bo13b
ob2o$17b2o12b3ob2o$30bo12b2o$31b3ob2o6bo$33b2o2bo6b3o$36b2o8bo!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
galoomba
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by galoomba »

Period1GliderGun wrote: December 8th, 2023, 5:36 pm 108p474 with semi-illegal caterer placement, not sure if it's a SKOP:

Code: Select all

x = 53, y = 38, rule = B3/S23
6bo8b2o$6b3o6bo2b2o$9bo6b2ob3o$8b2o12bo$16b2ob3o$16b2obo$41b2o$41b2o$
4b2o$4b2o$o$3o$3bo$2b2o3$11b3o$11bobo$11bobo$39bobo$39bobo$39b3o3$49b
2o$49bo$50b3o$52bo$18bo28b2o$16bo3b4o23b2o$10b2o4bo3bo$10b2o4bo$19bo13b
ob2o$17b2o12b3ob2o$30bo12b2o$31b3ob2o6bo$33b2o2bo6b3o$36b2o8bo!
Unfortunately, a glider shuttle achieves 92 cells:

Code: Select all

x = 70, y = 76, rule = B3/S23
56bo6b2o$54b3o6b2o$53bo3b2o$52bob2o3bo$52bobo4bo3b2o$51b2obobobo4b2o$
54bo3bo$54bob2o5bo4b2o$53b2ob2o5b2o3b2o$62bobo3$68bo$67bobo$68bo47$bo$
obo$bo4$2o10b2ob2o$2o11bobo$12bo2bo$5b2o8bob2o$5b2o4bobobobo$10bobob2o
bo$11b2o3bo$5b2o6b3o$5b2o6bo!
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

galoomba wrote: December 9th, 2023, 2:10 am
Period1GliderGun wrote: December 8th, 2023, 5:36 pm 108p474 with semi-illegal caterer placement, not sure if it's a SKOP:

Code: Select all

x = 53, y = 38, rule = B3/S23
6bo8b2o$6b3o6bo2b2o$9bo6b2ob3o$8b2o12bo$16b2ob3o$16b2obo$41b2o$41b2o$
4b2o$4b2o$o$3o$3bo$2b2o3$11b3o$11bobo$11bobo$39bobo$39bobo$39b3o3$49b
2o$49bo$50b3o$52bo$18bo28b2o$16bo3b4o23b2o$10b2o4bo3bo$10b2o4bo$19bo13b
ob2o$17b2o12b3ob2o$30bo12b2o$31b3ob2o6bo$33b2o2bo6b3o$36b2o8bo!
Unfortunately, a glider shuttle achieves 92 cells:

Code: Select all

x = 70, y = 76, rule = B3/S23
56bo6b2o$54b3o6b2o$53bo3b2o$52bob2o3bo$52bobo4bo3b2o$51b2obobobo4b2o$
54bo3bo$54bob2o5bo4b2o$53b2ob2o5b2o3b2o$62bobo3$68bo$67bobo$68bo47$bo$
obo$bo4$2o10b2ob2o$2o11bobo$12bo2bo$5b2o8bob2o$5b2o4bobobobo$10bobob2o
bo$11b2o3bo$5b2o6b3o$5b2o6bo!
So that's why the SKOP 474 link redirects to the p6 thumb.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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KtT
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by KtT »

P504, minimum phase is 65 cells:

Code: Select all

x = 47, y = 20, rule = B3/S23
31bo$29b3o6b2o3bo$28bo9bobobobo$28b2o10bob2o$5b2o32bobo$6bo32bobob3o$
6bobo31b2obo2bo$7b2o36b2o2$25b2o$24b2o$25bo$30bo$4b2o25bo$2bob2o23b2o
$bo27bo$4bo33bo$2obo32bobo$2o35bobo$37bo!
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KtT
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by KtT »

SKOP 441, minimum phase is 80 cells:

Code: Select all

x = 39, y = 23, rule = B3/S23
o18b2o$3o16b2o$3bo$2b2o$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12b
o$11b2o$35b2o$35bo$18b2o16b3o$18b2o18bo2$9b2o$9bobob2o2b2o$6b2obo3bob
o2bo$6b2obo3bob3o$9bo3bo$9bobob3o$10bobo3bo$12bo2b2o$12b2o!
EDIT: SKOP 342, minimum phase is 78 cells:

Code: Select all

x = 25, y = 36, rule = B3/S23
16b2o$16bo$14bobo$14b2o4$10bo$2b3o4b3o$11bo2$b2o$3bo18b2o$o23bo$b2o18b
o$22b2o2$13bo$13b3o4b3o$14bo4$9b2o$8bobo$8bo$7b2o$15bo3b2o$11b2o7bo$11b
o3bob2obob2o$12b3o2b2obob2o$18bobo$14b3obobo$13bo3bobo$13b2o2bo$16b2o
!
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Period1GliderGun
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

64p132:

Code: Select all

x = 32, y = 21, rule = B3/S23
22b2o$13b2o9bo$14bo6bo$14bobo5b2o$15b2o4$13bo8bo$12b2o10b2o4b2o$7b2o3b
o3b2o3b2o3bo3b2o$7b2o4b2o10b2o$16bo8bo$5bo$4o3bo$3bo3bo$7bo14b2o$4bo10b
2o5bobo$5b2o10bo6bo$14bo9b2o$15b2o!
67p264:

Code: Select all

x = 30, y = 25, rule = B3/S23
19bo$17b3o$16bo$16b2o$2o19b2o$bo19bo$bobo15bobo5b2o$2b2o15b2o6b2o$14b
o$13bobo$12b2ob2o10b3o$22b2o2bob2o$22b2o2b2o$26b2o4$6b2o15b2o$5bobo15b
obo$5bo19bo$4b2o19b2o$9b2o$10bo$7b3o$7bo!
EDIT: 90p290:

Code: Select all

x = 46, y = 34, rule = B3/S23
29bo$29b3o$32bo$31b2o4$35bo$25b2o7b3o$25b2o7b4o$7b2o29bo$7bobo28b2o$4b
o3b3obo6bo18b2o4b2o$4bo6b2o4b3o24b2o$4bo3bo7bo$2o6bo7b2o$ob3o3bo$3bob
o$4b2o2$10b3o3b3o$22b2o$14bo7b2o$14bo8bo$14bo9b4o7b2o$25b3o7b2o$26bo4$
29b2o$29bo$30b3o$32bo!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

94p170, beats the glider loop by 25 cells:

Code: Select all

x = 62, y = 29, rule = B3/S23
32b2o4b2o$32bobo2bobo$34bo2bo$33bo4bo$33b6o$34b4o$58b2o$16bo41b2o$16b
3o$19bo$18b2o23bobo$44b2o$45bo2$4b2o$2bo2bo$o3bo4bo22bo$2obo3b2o23b2o
$32bobo23b2o$4b2o3bob2o45bo$3bo4bo3bo46b3o$7bo2bo7b2o41bo$7b2o9b2o$40b
4o$39b6o$39bo4bo$40bo2bo$38bobo2bobo$38b2o4b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

70P228:

Code: Select all

x = 35, y = 20, rule = B3/S23
8b2o23b2o$9bo23bo$9bobo19bobo$2bo7b2o19b2o$2b3o$2o3bo9bo$bo2bobo7b3o$
bobo2b3o5bo2bo$2bo8bo19bo$3b2o5bobo17bobo$4bo5bobo17bobo$4bo6bo19bo$14b
o2bo$14b3o$15bo2$10b2o19b2o$9bobo19bobo$9bo23bo$8b2o23b2o!
From now on, I'm only going to look for SKOPS with periods smaller than 300.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

This form of EV2's p134 is SKOP, at 141 cells (weld -> clock found by me, eater -> block found by hotdogPi on the discord)

Code: Select all

x = 40, y = 42, rule = B3/S23
15bo$14bobo12b2o$14bobo12b2o$12b3ob2o$11bo$12b3ob2o18b2o$14bob2o17bo2b
o$36b3o2$35bob2o$11b2o22b2o2bo$11b2o25b2o3$25bo$23b2o$24b2o2$3b2o$4bo
31b2o$4bob2o23b2obo2bo$ob2obobo10b2o10bobob3o$2obo13bo2bo9bobo$3bo13b
o2bo7b3ob5o$3bob2o11b2o7bo3bo4bo$4bobo20b2o2bobo$5bo26b2o4$26b2o$25bo
2bo2b2o$25bobo4bo2bo$26bo5bobobo$29b2obo2bo$20bo8bo2bo$18bobo5bo4bo$19b
obo4b5o$19bo$28bo$27bobo$28bo!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
MathAndCode
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by MathAndCode »

For p88, flipping the figure eight yields a smaller bounding box, which I think should be the tiebreaker if the period is the same.

Code: Select all

x = 22, y = 15, rule = B3/S23
8b2o$8bo$9bo4b2o$8b2o$12bo3bo$12bo4bo$14bobobo$5b2o8bobobo$5bob2o7bo4b
o$2obobobobo7bo3bo$ob2obobo$6bo2b3o6b2o$7b2o3bo$9b3o$9bo!
Here is the old version:

Code: Select all

x = 22, y = 17, rule = B3/S23
18b2o2$8b2o7bo3bo$8bo7bo4bo$9bo5bobobo$8b2o4bobobo$12bo4bo$12bo3bo2$5b
2o7b2o$5bob2o$2obobobobo$ob2obobo$6bo2b3o$7b2o3bo$9b3o$9bo!
I am tentatively considering myself back.
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Period1GliderGun
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

84p148:

Code: Select all

x = 26, y = 44, rule = B3/S23
9b2o$5b2o3bo$5bo2bo$6b4o11bo$20bob2o$4b6o14bo$3bo2bo2bo10bo2bobo$3b2o
12bo4bo2bo$16bobo4b2o$15bo2bo$9b3o4b2o$9bobo$8bo2bo$8bobo$8b3o15$8b3o
$8bobo$7bo2bo$7bobo$b2o4b3o$o2bo$obo$bo12b2o$9bo2bo2bo$9b6o2$9b4o$10b
o2bo$8bo3b2o$8b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by rattlesnake »

64P504

Code: Select all

x = 47, y = 20, rule = B3/S23
31bo$29b3o6b2o3bo$28bo9bobobobo$28b2o10bob2o$5b2o32bobo$6bo32bobob3o$
6bobo31b2obo2bo$7b2o36b2o$25bo$23b2ob2o$23bo2bo$24b2o2$4b2o$2bob2o$bo
$4bo32bo$2obo34b2o$2o34b2o$38bo!
I have discovered SKOP for 105, 115, 188, 476, 492 and gun_ and guntrue_ for 226, 339, 752.
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

94p219:

Code: Select all

x = 35, y = 41, rule = B3/S23
bo$b3o$4bo$3b2o6$22bo$21bobo3b2o$22bo4bobo$8b3o18bo$8bobo17b2ob2obo$8b
o2bo19bob2o$9bobo19bo$3b2o4b3o11b3o4b2o$3bo19bobo$2obo19bo2bo$ob2ob2o
17bobo$5bo18b3o$5bobo4bo$6b2o3bobo$12bo5$15b2o$14bo15b2o$17bo12bo$13b
o3bo13b3o$10b4o3bo4b2o9bo$15bo5bo2bo$22b2o3$21bo$20bobo$20bobo$21bo!
68p220:

Code: Select all

x = 20, y = 23, rule = B3/S23
10b2o$10b2o3$6b2o3bo$6b2o2bobo2b3o$11bo3bo2bo$14bo3bo$13bobo3bo$11b2o
bobobo$2b2o7bo3bo$2bobo6bo$4bo7b2obo$4b2o8bo2$4b4o$3bo3bo$2bob3o$2bo3b
o4bob2o$2obobo5b2obo$bobo$bobo$2bo!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

104p236:

Code: Select all

x = 43, y = 43, rule = B3/S23
21b2o$22bo$22bobo$23b2o2b3o5$26bo$25bobo6bo$25bobo5bob2o$26bo10bo$22b
2o9bo2bobo$3bo17bobo11bo2bo$3bo17bobo12b2o$3bo5b2o11bo$8bo2bo$9b2o$2b
2o$3bo8b3o$3o9bo2bo$o12b2o13b2o12bo$27bo2bo9b3o$28b3o8bo$39b2o$32b2o$
31bo2bo$20bo11b2o5bo$19bobo17bo$19bobo17bo$19b2o$16bo$15bobo$15bobo$16b
o5$13b3o2b2o$18bobo$20bo$20b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

86p118:

Code: Select all

x = 41, y = 48, rule = B3/S23
30bo$30bobo$29bobo$31bo3$28bo$27bobo$27bobo$28bo6$7b2o8bo$7bo8bobo13b
2o$5bobo2b3o4bo12bo2bo$4bobo4b3o16bobo$2o3bo24b3o$2o7$39b2o$8b3o24bo3b
2o$8bobo16b3o4bobo$7bo2bo12bo4b3o2bobo$7b2o13bobo8bo$23bo8b2o6$12bo$11b
obo$11bobo$12bo3$9bo$9bobo$8bobo$10bo!
100p236:

Code: Select all

x = 45, y = 48, rule = B3/S23
30bo$30bobo$29bobo$31bo3$28bo$27bobo$27bobo$28bo6$7b2o8bo$7bo8bobo13b
2o$5bobo2b3o4bo12bo2bo$4bobo4b3o16bobo9b2o$2o3bo24b3o8bo2bo$2o40bobo$
40b2obo$40b3o$40b2o4$39b2o$8b3o24bo3b2o$8bobo16b3o4bobo$7bo2bo12bo4b3o
2bobo$7b2o13bobo8bo$23bo8b2o6$12bo$11bobo$11bobo$12bo3$9bo$9bobo$8bob
o$10bo!
I'll let someone else take care of other p118n.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by Period1GliderGun »

106p238

Code: Select all

x = 53, y = 42, rule = B3/S23
24b2o$24b2o$19bo$17b3o$16bo25b2o$16b2o24b2o3$2b2o$2b2o$25bo$24b3o$23b
o3bo$23b2ob2o19b2o$47bobo$2o47bo$bo47b2o$bobo$2b2o19b2ob2o$23bo3bo$24b
3o$25bo$47b2o$47b2o3$7b2o24b2o$7b2o25bo$31b3o$31bo$25b2o$25b2o19b2o$38b
o6bobo3b2o$38b2o4bo2bo3b2o$42bo3bo$42bobo2$42bobo$42bo3bo$38b2o4bo2bo
3b2o$38bo6bobo3b2o$46b2o!
129p242

Code: Select all

x = 41, y = 77, rule = B3/S23
11bo$11b3o$14bo$13b2o$19b2o$16bo$16bo4bo$14b2o6bo$12bo2b2obo$11bo4bo4b
o$12bobo2bo2bo$18b2o$15b3o2$14b3o$5b2o5b2o$5b2o4bo2bo2bobo$10bo4bo4bo
$13bob2o2bo$5b2o2bo6b2o$4bo2bo2bo4bo$4bo2bo7bo$2o2bo2bo3b2o$2o2b2o11b
2o$6bo10bo$18b3o$20bo$bo$obo$bo18$39bo$38bobo$39bo$20bo$20b3o$23bo$22b
2o15b2o$39b2o$24b3o$23bo3bo6b2o$28bo5b2o$28bo$23b2o3bo$25b2o7b2o$34b2o
5$23b2o$21bo3b2o$21bo$21bo$22bo3bo$23b3o2$26b2o$26bo$27b3o$29bo!
103p249

Code: Select all

x = 45, y = 29, rule = B3/S23
3obo7bo$3bobo4b2obo$4bobo2b4o16b2o$4bob4o6b2o11bo$17bo9bobo$17bobo7b2o
$5b2o3bo2b2o3b2o$4bobo2b3o2bo20b2o$4b2o2b2ob3o22bo$8bo24b3o$11bo21bo2$
23b2o$10bo11bobo$9bobo10bo2bo4bo$10bo12b2o5b2o$24bo4bo2bo$30bobo10b2o
$30b2o11b2o2$21bo$19b3o$18bo$18b2o$35b2o$26b2o7bobo$25bobo9bo$25bo11b
2o$24b2o!
84p260

Code: Select all

x = 24, y = 32, rule = B3/S23
7b2o4b2o$7bobo2bobo$9bo2bo$8bo4bo$8bo4bo$8bo4bo$10b2o3$8b3o$17bo$5bo2b
o6b3o$5bo3bo4bo$14b2o3$19b3o$18b3o2$8b3o$8bobo$8bo2bo$9bobo$3b2o4b3o$
3bo16b2o$2obo17bo$ob2ob2o14bobo$5bo8b2o6b2o$5bobo6b2o2b2o$6b2o10bobo$
20bo$20b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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otismo
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by otismo »

Period1GliderGun wrote: August 10th, 2024, 9:07 pm 106p238

Code: Select all

x = 53, y = 42, rule = B3/S23
24b2o$24b2o$19bo$17b3o$16bo25b2o$16b2o24b2o3$2b2o$2b2o$25bo$24b3o$23b
o3bo$23b2ob2o19b2o$47bobo$2o47bo$bo47b2o$bobo$2b2o19b2ob2o$23bo3bo$24b
3o$25bo$47b2o$47b2o3$7b2o24b2o$7b2o25bo$31b3o$31bo$25b2o$25b2o19b2o$38b
o6bobo3b2o$38b2o4bo2bo3b2o$42bo3bo$42bobo2$42bobo$42bo3bo$38b2o4bo2bo
3b2o$38bo6bobo3b2o$46b2o!
Pretty Spectacular PentaDeCathlon FireCloud Morphology

in bare-bones containment

Thank You for Posting !

P. S.

What would we call this without the extra Oscillator on the lower right ?

For me that osc is just an un-necessary distraction...

The Show is the PDC
"One picture is worth 1000 words; but one thousand words, carefully crafted, can paint an infinite number of pictures."
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by confocaloid »

otismo wrote: August 10th, 2024, 11:22 pm [...]
What would we call this without the extra Oscillator on the lower right ?

For me that osc is just an un-necessary distraction...

The Show is the PDC
Without the oscillator on the lower right, the rest is a variant of 72P119 (apgcode xp119_y3ggyc33y0c88gzy311yk11y8ooz0g8oyfca3acz23yho808oyfc871zwccyg131zyc6a8oyi66zyk33).

However, adding the p14 oscillator is far from being "an unnecessary distraction" here. The purpose of adding the p14 is to make a nontrivial least-common-multiple oscillator with period 238, which becomes the SKOP238 (the smallest known nontrivial oscillator of period 238, measuring by the minimum population), and this forum thread is specifically about SKOPs.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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Re: Smallest Known Oscillators to p106 (and Beyond)

Post by otismo »

confocaloid wrote: August 11th, 2024, 3:19 am
otismo wrote: August 10th, 2024, 11:22 pm [...]
What would we call this without the extra Oscillator on the lower right ?

For me that osc is just an un-necessary distraction...

The Show is the PDC
Without the oscillator on the lower right, the rest is a variant of 72P119 (apgcode xp119_y3ggyc33y0c88gzy311yk11y8ooz0g8oyfca3acz23yho808oyfc871zwccyg131zyc6a8oyi66zyk33).

However, adding the p14 oscillator is far from being "an unnecessary distraction" here. The purpose of adding the p14 is to make a nontrivial least-common-multiple oscillator with period 238, which becomes the SKOP238 (the smallest known nontrivial oscillator of period 238, measuring by the minimum population), and this forum thread is specifically about SKOPs.
Thank You. I needed to know that.

Spectacular Show though, nonetheless.

I am glad to have found something I really liked in this Thread. <3 SKOPs
"One picture is worth 1000 words; but one thousand words, carefully crafted, can paint an infinite number of pictures."
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