Smallest Known Oscillators to p106 (and Beyond)

[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!

[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)

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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.)

[C28]

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.

[HerscheltheHerschel]

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

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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!

[hotdogPi]

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.

[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!

[Period1GliderGun]

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

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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!

[galoomba]

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:

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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!

[Period1GliderGun]

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.

[KtT]

P504, minimum phase is 65 cells:

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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!

[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
!

[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!

[Period1GliderGun]

94p170, beats the glider loop by 25 cells:

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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!

[Period1GliderGun]

70P228:

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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.

[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!

[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.

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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!