Smallest Known Oscillators to p106 (and Beyond)

[Period1GliderGun]

58P135 (period-tripling reaction between 2 p45 pi hasslers), down from 68 cells (PD on 56P27)

Code: Select all

x = 50, y = 18, rule = B3/S23
38b2o$10b2o26b2o$10b2o3$39bo$10bo27b3o$9b3o25b2ob2o$8b2ob2o$48bo$bo45b
obo$obo45b2o$2o2$36bo4bo$8bo4bo20b2ob4ob2o$6b2ob4ob2o20bo4bo$8bo4bo!

EDIT: 102P238 (by opting for a block-sharing instead of an LCM)

Code: Select all

x = 62, y = 32, rule = B3/S23
8b2o25b2o$o6bobo3b2o20b2o$2o4bo2bo3b2o15bo$4bo3bo19b3o$4bobo20bo25b2o
$27b2o24b2o$4bobo$4bo3bo$2o4bo2bo3b2o$o6bobo3b2o$8b2o26bo$35b3o$34bo3b
o$34b2ob2o19b2o$58bobo$11b2o47bo$12bo47b2o$12bobo$13b2o19b2ob2o$34bo3b
o$35b3o$36bo$58b2o$58b2o3$18b2o24b2o$18b2o25bo$42b3o$42bo$36b2o$36b2o
!

91P357, likely one of many 119n LCMs that can be improved with iNoMed's p119 monomer:

Code: Select all

x = 34, y = 45, rule = B3/S23
14b2o$9b2o2bobo$9bo3bo$10b3ob4o4b2o$12bobo2bo4b2o$4bo$4b3o$7bo$6b2o24b
2o$32bo$30bobo$30b2o3$b2o$b2o10b3o$12bo3bo$12b2ob2o3$26bo$25bobo$26b2o
5$2b2o$bobo$bo22bo$2o20bo3b4o$22bo3bo$22bo$25bo$23b2o$16b2o$16b2o3$19b
o$12bo2bo2bobo$12b4o3bo2$14b2o$14b2o!

95P595:

Code: Select all

x = 34, y = 45, rule = B3/S23
14b2o$9b2o2bobo$9bo3bo$10b3ob4o4b2o$12bobo2bo4b2o$4bo$4b3o$7bo$6b2o24b
2o$32bo$30bobo$30b2o3$b2o$b2o10b3o$12bo3bo$12b2ob2o3$26bo$25bobo$26b2o
5$2b2o$bobo$bo$2o21bo2bo$22bob2obo$23bo2bo$23bo2bo$22bob2obo$16b2o5bo
2bo$16b2o3$19bo$12bo2bo2bobo$12b4o3bo2$14b2o$14b2o!

[WhiteHawk]

...likely one of many 119n LCMs that can be improved with iNoMed's p119 monomer:

91p952, edging out the p8 shuttle by 1 cell

Code: Select all

x = 45, y = 34, rule = B3/S23
30bo$14b2o12b3o$14b2o11bo$27b2o$5b2o$6bo$6bobo$7b2o2$b2o$bobo$3bo$3b2o
11b2o22b2o$b2o12bobo23bo$o2b2o10bo25bob2o$2obo11bobo22b2ob2o$3bo12b2o
17b2o$3b2o30b2o$40bo$39bobo$40bo2$3b2o24b2o$3b2o$27bo3bo$21bo5bo4bo$20b
obo6bobobo$21b2o7bobobo$31bo4bo$32bo3bo$10b2o$11bo21b2o$8b3o$8bo!

EDIT: SKOP 1071 (Feels familiar, but can't find it in this thread at least)

Code: Select all

x = 51, 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$25b2o$17bo$13b
2o3bo$13bo5bob2o$10b2obobo6bo$10b2obob2ob4o$13bobo$13bobob3o$14bobo3b
o$16bo2b2o$16b2o!

SKOP 1309 (since neither rattlesnake nor diamondback work)

Code: Select all

x = 51, y = 44, 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$10bo14b2o$10b3o12b
2o$13bo3bo$12bo5bo$12bo6bo$17bobo2bo$14b3o2bobobo$17bobo2bo$14b4obo$13b
o4bo$14b4o2$14b2o$14b2o!

[WhiteHawk]

Reduction of SKOP 261 by eight cells (104 -> 96) - not on SKOP page, but on User: Galoomba/Skopje

Code: Select all

x = 38, y = 30, rule = B3/S23
22bo$22b3o$25bo$24b2o2$36bo$26b3o6bobo$21b2o3bobo7bo$21b2o3b3o3$17b2o
$10b2o5b2o7b3o$11bo14bobo7bo$11bobo12b3o6bobo$12b2o22bo$16b3o3b3o$16b
obo3bobo$b2o4b2o7b3o3b3o$bobo3bo2bo$3bo$3b3o5bo$b2o3bobo2bo$o2b2o$b2o
3b5o$3b2obo5bo3bo7bo$3bo2bob5o2bobo5bobo$4bobobo7bo7bo$5bo4bo$9b2o!

[WhiteHawk]

SKOP288 reduced using 32p5 (79p288), down from 83-cell p6 HC0 loop. (note a snake/aircraft carrier could reduce it by a cell if it fit, but it doesn't)

Code: Select all

x = 30, y = 24, rule = B3/S23
4b2o19bo$4o4b2o10b3ob2o2b2o$3ob2o2b2o10b4o4b2o$5bo18b2o4$7b2o12b2o$7b
2o12b2o2$18b3o$17bo$2o15bo2bo$obo15b2o$2bo$2b2o2$5o$o2bobo$bobob3o$2o
b2o3bo$2bo3b2o$2bob2o$3bobo!

Also just a reminder that there is currently discussion about whether this rephasable p5 deserves it's own page

[qqd]

SKOP288 reduced using 32p5 (79p288), down from 83-cell p6 HC0 loop.

Code: Select all

x = 30, y = 24, rule = B3/S23
4b2o19bo$4o4b2o10b3ob2o2b2o$3ob2o2b2o10b4o4b2o$5bo18b2o4$7b2o12b2o$7b
2o12b2o2$18b3o$17bo$2o15bo2bo$obo15b2o$2bo$2b2o2$5o$o2bobo$bobob3o$2o
b2o3bo$2bo3b2o$2bob2o$3bobo!

Also just a reminder that there is currently discussion about whether this rephasable p5 deserves it's own page

Alternative SKOP18 with a smaller bounding box:

Code: Select all

x = 16, y = 12, rule = B3/S23
2b2o5b2o$3bo7bo$2bo5bo$2b2o4bo3bo$8bo3b4o$3obo5bo$o2bobo$bobob3o$2ob2o
3bo$2bo3b2o$2bob2o$3bobo!

This rephasable p5 definitely warrants its own article, especially since it is more versatile than 28P7.1, as it does not get affected if you apply the dot spark at any other phase.

[WhiteHawk]

Alternative SKOP18 with a smaller bounding box:

Code: Select all

This oscillator is well known.

EDIT: Here is the original post from this thread, with a smaller bounding diamond with aircraft carrier (Matthias Merzenich discovered it apparently)

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!

[WhiteHawk]

SKOP407 reduced using p11 thumb (85 cells, down from 92) - I feel this one is definitely known, but no page was ever updated

Code: Select all

x = 36, y = 26, rule = B3/S23
17bo$17b3o14b2o$20bo13bo$19b2o11bobo$32b2o$24b2o$24b3o$23bo2bo$24b2o$
9b2o$10bo$10bobo19b2o$7bo3b2o19bobo$6bobo25bo$7bo26b2o$19b2o$5b5o3b2o
3bo2bo$4bo5bo2b2o3b3o$3bob2obo2bo7b2o$3bobobo$2obobobo16b2o$2obobobo16b
o$4bo6bo13b3o$9b2obo14bo$12bo$12b2o!

[WhiteHawk]

SKOP 657 in 110 cells (down from 116-cell rectifier)

Code: Select all

x = 44, y = 35, rule = B3/S23
18b2o$2o16bo$bo17bo$bobo12b4o$2b2o12bo$19b3o$19bo2bo$21b2o2$12b3o$15b
o$13bobo6bo$14bo6bobo$22bo$33b2o$33bo4bo$35bobobo$31b5obo2bo$31bo5bob
2o$33b5o3b2o$39b2o2bo$10bo21bo2bobo3b2o$9bobo6bo13bo5b3o$10bo6bobo20b
o$17bo15bo2bo3bobo$18b3o14b2o4b2o2$10b2o$10bo2bo$11b3o$16bo12b2o$13b4o
12bobo$13bo17bo$14bo16b2o$13b2o!

[Period1GliderGun]

SKOP 657 in 110 cells (down from 116-cell rectifier)

Code: Select all

snip

104 cells:

Code: Select all

x = 33, y = 41, rule = B3/S23
18b2o$2o16bo$bo17bo$bobo12b4o$2b2o12bo$6b2ob2o8b3o$5bobo11bo2bo$5b3o13b
2o$8bo2bo2$7bo4bo$12b2o8bo$6bo3bob2obo5bobo$7bo2b2ob2obo5bo$8b3o3bobo
$15bo4$17bo$16bobo3b3o$10bo5bob2ob2o2bo$9bobo5bob2obo3bo$10bo8b2o$20b
o4bo2$21bo2bo$10b2o13b3o$10bo2bo11bobo$11b3o8b2ob2o$16bo12b2o$13b4o4b
o7bobo$13bo3b2o3bo8bo$15bobo5bob2o4b2o$14b2obobo6bo$17bob2ob4o$14b2ob
obo$14b2obobob3o$18bobo3bo$20bo2b2o$20b2o!

[WhiteHawk]

SKOP 657 in 110 cells (down from 116-cell rectifier)

Code: Select all

snip

104 cells:

Code: Select all

101 cells

Code: Select all

x = 33, y = 41, rule = B3/S23
18b2o$2o16bo$bo17bo$bobo12b4o$2b2o12bo$19b3o$19bo2bo$21b2o2$12b3o$15b
o$13bobo6bo$14bo6bobo$22bo8$10bo$9bobo6bo$10bo6bobo$17bo$18b3o2$10b2o
$10bo2bo$11b3o$16bo12b2o$13b4o4bo7bobo$13bo3b2o3bo8bo$14bo2bo5bob2o4b
2o$15bobobo6bo$14b2obob2ob4o$17bobo$17bobob3o$18bobo3bo$20bo2b2o$20b2o
!

[WhiteHawk]

New LCM oscillator SKOPs, at least according to User:Galoomba/Skopje

Featuring oscillators with periods: 11, 13, 16, 20, 22, 25, 27, 29, 31, 33, 37, 38 (19 x 2), 40, 45, 49, 58 (29 x 2), 68 (17 x 4), 76 (19 x 4), 84 (21 x 4), 94 (47 x 2), 113, and 146 (73 x 2)

SKOP620 (116 -> 82)

Code: Select all

x = 24, y = 32, rule = B3/S23
7b2obo2bob2o$2o4bo2bo4bo2bo4b2o$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bo
bo4bobo5b2o$2o4bo2bo4bo2bo4b2o$7b2obo2bob2o6$7bo2bo$7bo$6bo5bo$6bo2$3b
2o2bo6bo$b2o3bobo4bo$7bo2b3o$12b3o$bo6bo2b4o$8bobo3bo$3bo4b3o$7bob2o$
6bo2b3o!

SKOP680 (92 -> 64)

Code: Select all

x = 41, y = 27, rule = B3/S23
22bo$20b3o$19bo$19b2o$2o$bo$bobo$2b2o3$26b2o$14b3o9b2o$3b2o9bo2bo8b2o
$4bo12bo$b3o12bo9bo$bo23b2o$26bo$27b2o9bo$26b3o8b3o$10bo2bo13bo9b2o$10b
4o25bo$39b2o$12b2o25bo$12b2o$38b2o$38b2o$38b2o!

SKOP783 (136 -> 132)

Code: Select all

x = 51, y = 32, rule = B3/S23
15b2o$15b2o3$13bo$11bob2o$10bo2bo$13bo$10b3o2$21bobo$21bo2bo$21bo17b2o
$2o20b4o7bo5b2o$2o22bo7bobo$5bo22b2o3bo$4b4o21bo$8bo30b3o$5bo2bo30bob
o$6bobo24b3o3b3o$33bobo10b2o$17b3o13b3o11bo$16bo9b2o19bob2o$16bo2bo7b
o16b2obo2bo$15b2obo7b3o16bob2o$16bo5b2o2bo2bo15bobo$22b2o3b3o14b2o2bo
$28b3o5b2o8b2o$13b2o15b2o4bo6b2obo$13b2o15bo6b3o4bobo$31b3o5bo2bobob2o
$33bo8b2o!

SKOP814 in 108 cells, down from a 123-cell rectifier loop

Code: Select all

x = 62, y = 28, rule = B3/S23
52b2o$51bo2bo$51bobo$24b2o26bo$23bobo$19b2o2bo$19bobob2o24bo$21bobo25b
o$20b2obo6b2o18bo9b2o$18bo2bob2o5b2o16b2o5b2obo2bo$18b2o9bo18b2o6bob2o
$30bo25bobo$30bo24b2obobo$56bo2b2o$54bobo$27bo26b2o$26bobo$25bo2bo$2o
24b2o$bo$bobo13b3o$2b2o3bo8bo3bo$6bob2o6bo4bo$5bo4bo6b2obo$6bo3bo8bo3b
2o$7b3o13bobo$25bo$25b2o!

SKOP925 in 102 cells, beating a 116-cell rectifier

Code: Select all

x = 34, y = 51, rule = B3/S23
14bo$14b3o$17bo$16bo$16bo2bo2$20b2o$9b2o10bo$5b2o3bo8bobo$5bo2bo9b2o$
6b4o18b2o$26bobo$4b6o16bo$3bo2bo2bo16b2o$3b2o12bo$16bobo9bo2bo$15bo2b
o12bo$16b2o12bo$10bo20b3o$8b2ob2o20bo$8b2o17$9b2o$6b2ob2o$8bo$b2o$o2b
o$obo$bo12b2o$9bo2bo2bo$9b6o2$9b4o$10bo2bo$8bo3b2o$8b2o!

SKOP940 (116 -> 88)

Code: Select all

x = 37, y = 39, rule = B3/S23
13b2o$13b2o5$29b2o$29b2o$35b2o$3b2o30bo$3b2o14bo13bobo$18bob2o11b2o$18b
2ob3o$18bo$18bo$13b3ob2o$2b2o11b2obo$bobo13bo14b2o$bo30b2o$2o$6b2o$6b
2o4$6bo2bo$6bo15b2o$5bo5bo10b2o$5bo2$2b2o2bo6bo$2o3bobo4bo$6bo2b3o$11b
3o$o6bo2b4o$7bobo3bo$2bo4b3o$6bob2o$5bo2b3o!

SKOP957 (116 -> 114)

Code: Select all

x = 46, y = 40, rule = B3/S23
15bo$13b3o$12bo$12b2o2$bo$obo7b2o$bo7b3o3b2o$10b2o3b2o2$44bo$19b2o22b
obo$10b2o7b2o5b2o16bo$bo7b3o14bo$obo7b2o12bobo9bo$bo22b2o8b2o8bo$13b3o
3b3o21bobo$13b3o3b3o22b2o$14bo5bo13b3o$33bo2bo$32bo3bo$32bo$32bobob2o
$33b2ob2o$35b3o$13bo7bo8b3o$12bobo5bobo7b2ob2o$13bo7bo8b2obobo$35bo$31b
o3bo$31bo2bo$31b3o$22b2o$22bobo$23bo8b2o$31bo2$23bo$22bobo$23bo!

SKOP980 in 78 cells, also down from 116 cells

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x = 39, y = 25, rule = B3/S23
6b3o2bo$7b2obo$7b3o4bo$3bo3bobo$3b4o2bo6bo$3b3o$5b3o2bo$4bo4bobo3b2o$
3bo6bo2b2o2$11bo$5bo5bo$o9bo8b2o$3o4bo2bo8b2o$3bo$2b2o22bo$14bo11b2o$
14bo12bo6b2o$3b2o9bo9bo9b2o$3b2o6bo12bo$11b2o11bo$12bo22b2o$35bo$18b2o
16b3o$18b2o18bo!

SKOP999 in 128 cells, barely beating a 136-cell rectifier

Code: Select all

x = 44, y = 59, rule = B3/S23
27b2o$27b2o3$30bo$29b2obo$30bo2bo$30bo$31b3o2$20bobo$19bo2bo$22bo$18b
4o20b2o$19bo22b2o$9b2o3b2o22bo$5b2o3bo3b2o20b4o$5bo2bo26bo$6b4o25bo2b
o$35bobo$4b6o$3bo2bo2bo14b3o$3b2o12bo9bo$16bobo5bo2bo$15bo2bo6bob2o$16b
2o9bo$10bo$8b2ob2o$8b2o19b2o$29b2o16$9b2o$6b2ob2o$8bo$b2o$o2bo$obo$bo
12b2o$9bo2bo2bo$9b6o2$9b4o$10bo2bo$8bo3b2o$8b2o!

SKOP1034 (113 -> 88)

Code: Select all

x = 40, y = 32, rule = B3/S23
25b2o$25b2o5$9b2o$9b2o$3b2o$4bo30b2o$4bobo19b3o7bo$5b2o18b2o$25bo2bo$
26b2o$15b2o$14bo2bo$16b2o18b2o$b2o3bo7b3o19bobo$bobo2b2o30bo$3bo34b2o
$3b2o27b2o$32b2o3$7bo$6b2o$3b3obobob2o3b2o$3bobobob2obo3b2o$b3o2bo$o3b
2o$b3o$3bo!

SKOP1092 (86 -> 76)

Code: Select all

x = 35, y = 35, rule = B3/S23
16bo$14b3o$13bo$2o11b2o$bo$bobo$2b2o6$6bo$5bo$6b2o$6bo$7b2o$24bo$11b2o
11b3o$13bo10bobo$12b2o$14bo8b3o$13bo9b2obo$23bo2bo$24b2o$19b2o7b2o2b2o
$19b2o6bo2bo2bo$27bob2ob3o$16b2o10b3o$16bobo$18bo$5b2o11b2o5b2o$6bo18b
2o$3b3o$3bo!

SKOP1102 (123 rectifier -> 96)

Code: Select all

x = 34, y = 57, rule = B3/S23
22bo$9b2o10bobo$9b2o9bo3bo$20bo3bo$20b2ob2o$30b2o$30bobo$32bo$32b2o2$
7bo$7b3o17b2o$10bo16bo$9b2o17b3o$30bo2$4b2o$5bo$5bobo$6b2o$13b2ob2o$13b
o3bo$13bo3bo9b2o$14bobo10b2o$15bo6$6b2o$7bo$7bobo$8b2o4$12b3o5bo$12bo
bo5bo$12bo7bo2$21bo$o20b2o$2o19b2o$2o20bo$bo2$2bo7bo$2bo5bobo$2bo5b3o
4$13b2o$13bobo$15bo$15b2o!

SKOP1160 (92 -> 80)

Code: Select all

x = 45, y = 30, rule = B3/S23
7bo$5b3o$4bo$4b2o6b2o$12bo$10bobo8b2o$10b2o9b2o2$28b2o$2b2o24b2o$bobo
$bo33b5o$bobo31bo$2b2o32bo2bo$37b2o$34b2o$19b2o12bo2bo$19bobo15bo$21b
o11b5o$19bobo$19b2o22b2o$43b2o2$2o9b2o$2o8bobo$10bo$9b2o6b2o$18bo$15b
3o$15bo!

SKOP1168 (92 -> 72)

Code: Select all

x = 36, y = 21, rule = B3/S23
5b3o$11bo5bo$2ob2o6b2o3b2o3b2o$2obobo5b2o3b2o3bobo2b2o$6bo5bo3bo5bo3b
2o$bo4bo$bo4bo26bo$2bo2b2o24b3o$5b2o23bo$30b2o$23bo$22bobo$21bo3bo$21b
o3bo$21b2ob2o$32b2o$32bobo$9bo24bo$8b2o24b2o$8b2o$8bo!

SKOP1222 (123 -> 102) - can it be reduced?

Code: Select all

x = 54, y = 37, rule = B3/S23
2o$bo15b2o$bobo13b2o$2b2o$31b2o$31b2o$16bo$15b2o$14bo2bo$2b2o10bobo$b
obo11b2o25b2o$bo40b2o$2o$52b2o$10b2o40bo$10b2o25b2o11bobo$37bobo10b2o
$36bo2bo$37b2o$37bo$21b2o$8b2o11b2o$8b2o40b2o$35b2o13bobo$35b2o15bo$11b
3o38b2o$10bob2ob3o$2b2o6bo2bo2bo$2b2o7b2o2b2o$7b2o$6bo2bo$6b2obo$6b3o
2$7bobo$7b3o$7bo!

SKOP1240 (92 -> 74)

Code: Select all

x = 26, y = 35, rule = B3/S23
7b2obo2bob2o$2o4bo2bo4bo2bo4b2o$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bo
bo4bobo5b2o$2o4bo2bo4bo2bo4b2o$7b2obo2bob2o9$9b2o8b2o$9b2o7bo$21bo$17b
2obo$17b2o5$16b2o$14bob2o$13bo$16bo7b2o$14b2o8b2o!

SKOP1243 (136 -> 128)

Code: Select all

x = 62, y = 37, rule = B3/S23
58b2o$58bo$56bobo$56b2o7$45b3o11b2o$25b2o4b2o14bo11b2o$12b2o11b2o4b2o
14bo$12b2o29bob2o$42b2o$12b4o15b2o$3b2o2b2o2bo3bo15b2o25b2o$4bo2b2o2b
2o32b2o11bo$3bo24b2o15b2o12b3o$3b2o23b2o31bo$42b2o$42b2o$31b2o$7bo20b
2obo$6b2o19bo14b2o4b2o$3b3obobob2ob2o11bo14b2o4b2o$3bobobob2obob2o11b
3o$b3o2bo$o3b2o$b3o$3bo3$17b2o$16bobo$16bo$15b2o!

SKOP1292 (116 -> 95) - can a p38 reduce the population?

Code: Select all

x = 36, y = 47, rule = B3/S23
25b2o$25b2o2$23b4o$23bo2bo4$14bo$14b3o$17bo11b2o$16b2o12bo$26b2ob2o$27b
obo$28bo2$15b2o$14bobo$14bo$b2o10b2o$obo29b2o$obob2o26bo$bobobo27b3o$
3bo31bo$2b2o$b3o$b3o8bobo$b3o8bobo$b3o8b3o$2b2o$3bo$bobobo$obob2o$obo
$b2o4$13b3o2$11bo$11bo$11bo$19b2o$13b3o3bobo$21bo$21b2o!

SKOP1305 (116 -> 105)

Code: Select all

x = 41, y = 42, rule = B3/S23
10b2o$10b2o5bo$16bobo$17bo2$9b3o$9bobo$9b3o3b3o$3b2o10bobo$3bo11b3o$2o
bo19b2o$o2bob2o16bo$2b2obo16b3o$3bobo15bo2bo2b2o$2bo2b2o14b3o3b2o$3b2o
8b2o5b3o$4bob2o6bo4b2o$4bobo4b3o6bo$3b2obobo2bo5b3o$7b2o8bo8$38b3o$38b
obo$30b2o6b3o$29bobo6b3o$24b2o3bo8b3o$24b2o3bobo6b3o$30b2o6bobo$38b3o
5$34bo$33bobo$34b2o!

SKOP1334 (123 -> (EDIT: 82))

Code: Select all

x = 48, y = 38, rule = B3/S23
17b2o$2o15bobo$2o17bo$17b3o4$17b3o$2o17bo7b2o$2o15bobo7b2o$17b2o16bo$
33b3o$32bo$32b2o2$21bo$20bobo7b2o$21bo7b3o3b2o$30b2o3b2o3$39b2o$30b2o
7b2o5b2o$21bo7b3o14bo$20bobo7b2o12bobo$21bo22b2o$33b3o3b3o$33b3o3b3o$
34bo5bo7$33bo7bo$32bobo5bobo$33bo7bo!

SKOP1406 (123 rectifier -> 114)

Code: Select all

x = 53, y = 44, rule = B3/S23
15b2o$15bo$13bobo$13b2o4$2bo5b3o$2bo5bobo$2bo7bo2$bo$2o20bo$2o19b2o$o
20b2o$21bo2$12bo7bo$12bobo5bo$12b3o5bo4$8b2o$7bobo$7bo9b2o$6b2o8bo2bo
$17bobo$18bo26b2o$45bobo$47bo2b2o$21bo24b2obobo$21bo25bobo$9b2o9bo18b
2o6bob2o$9bo2bob2o5b2o16b2o5b2obo2bo$11b2obo6b2o18bo9b2o$12bobo25bo$10b
obob2o24bo$10b2o2bo$14bobo$15b2o26bo$42bobo$42bo2bo$43b2o!

SKOP1428 (86 -> 80)

Code: Select all

x = 41, y = 42, rule = B3/S23
22bo$20b3o$19bo$19b2o$2o$bo$bobo$2b2o20bo$24b3o$27bo$26b2o11b2o$14b3o
22bo$3b2o9bo2bo19bobo$4bo12bo19b2o$b3o12bo$bo4$10bo2bo$10b4o19bobo$32b
o2bo$12b2o18bo2bo$12b2o19bo2$28bo$26bo2bo$26bo2bo$26bobo7$23b2o$22bob
o$22bo$21b2o11b2o$34bo$35b3o$37bo!

SKOP1519 in 92 cells, well below 136-cell rectifier

Code: Select all

x = 44, y = 30, rule = B3/S23
27b2obo2bob2o$20b2o4bo2bo4bo2bo4b2o$20b2o5bobo4bobo5b2o$28bo6bo6$28bo
6bo$20b2o5bobo4bobo5b2o$20b2o4bo2bo4bo2bo4b2o$27b2obo2bob2o5$o18b2o$3o
16b2o$3bo$2b2o$26b2o$14bo12bo6b2o$3b2o8b3o7b3o8b2o$3b2o6bo12bo$11b2o$
35b2o$35bo$18b2o16b3o$18b2o18bo!

SKOP1564 (77 -> 66)

Code: Select all

x = 55, y = 24, rule = B3/S23
41b2o$41b2o2$41b4o$41bo2bo2$17b2o$2o15bobo7b2o$2o17bo7b2o24bo$17b3o31b
3o$37b2o11bo$37bo2bo9b2o$38bobo$17b3o18b3o$2o17bo$2o15bobo$17b2o32b2o
$51bobo$53bo$53b2o$34b2o$35bo$32b3o$32bo!

SKOP1596 in 84, barely beating the 86-cell loop.

Code: Select all

x = 35, y = 47, rule = B3/S23
31bo$29b3o$28bo$2o26b2o$bo$bobo16b2o$2b2o15b2o$18bob2o$19bo3$15bo$13b
2obo$14b2o15b2o$13b2o16bobo$33bo$5b2o26b2o$6bo$3b3o$3bo$22b2o$22bo$20b
obo$20b2o4$9bo5b3o$9bo5bobo$9bo7bo2$8bo$7b2o20bo$7b2o19b2o$7bo20b2o$28b
o2$19bo7bo$19bobo5bo$19b3o5bo4$15b2o$14bobo$14bo$13b2o!

SKOP1665 in 101 cells, beating 116-cell rectifier

Code: Select all

x = 39, y = 53, rule = B3/S23
8bo4bo$6b2ob4ob2o$8bo4bo3$2o$obo$bo2$8b2ob2o15b2o$9b3o16bo3b2o$10bo19b
o2bo$29b4o2$29b6o$9b2o18bo2bo2bo$9b2o10bo12b2o$20bobo$20bo2bo$21b2o4b
3o$27bobo$27bo2bo$28bobo$28b3o15$28b3o$28bobo$28bo2bo$29bobo$29b3o4b2o
$35bo2bo$36bobo$23b2o12bo$23bo2bo2bo$24b6o2$26b4o$25bo2bo$25b2o3bo$29b
2o!

SKOP1700 in 68, well down from 116 cells

Code: Select all

x = 41, y = 24, rule = B3/S23
12b2o$12b2o2$10b4o$10bo2bo7b2o$22bo$22bob2o$23bo$bo28bo$b3o21bo3b2o$4b
o11b2o9bo$3b2o9bo2bo9b3o$14b3o$15bo3$2b2o28b3o$bobo30bo$bo29b2o3bo$2o
29bo$19b2o17bo$19bo16b2obo$20b3o16bo$22bo16b2o!

SKOP1702 (123 -> 100)

Code: Select all

x = 52, y = 43, rule = B3/S23
b2o5b2o$b2o5b2o16$2obo3bob2o$o2bo3bo2bo$b3o3b3o5$16b2o$15bo2bo$16bobo
$8b2o7bo26b2o$8b2o34bobo$46bo2b2o$20bo24b2obobo$20bo25bobo$8b2o9bo18b
2o6bob2o$8bo2bob2o5b2o16b2o5b2obo2bo$10b2obo6b2o18bo9b2o$11bobo25bo$9b
obob2o24bo$9b2o2bo$13bobo$14b2o26bo$41bobo$41bo2bo$42b2o!

SKOP1786 in 96, down from 113

Code: Select all

x = 41, y = 51, rule = B3/S23
22b2o$22b2o5$6b2o$6b2o$2o$bo30b2o$bobo13bo14b2o$2b2o11b2obo$13b3ob2o$
18bo$18bo$18b2ob3o$18bob2o11b2o$3b2o14bo13bobo$3b2o30bo$35b2o$29b2o$29b
2o3$33b2o$33bo$13b2o16bobo$13b2o16b2o4$20bo5b3o$20bo5bobo$20bo7bo2$19b
o$18b2o20bo$18b2o19b2o$18bo20b2o$39bo2$30bo7bo$30bobo5bo$30b3o5bo4$26b
2o$25bobo$25bo$24b2o!

SKOP1862 in 86 cells, down from 123

Code: Select all

x = 46, y = 38, rule = B3/S23
15b2o$15bo$13bobo$13b2o4$2bo5b3o$2bo5bobo$2bo7bo2$bo$2o20bo$2o19b2o$o
20b2o$21bo2$12bo7bo$12bobo5bo$12b3o5bo4$8b2o$7bobo$7bo17b2o18bo$6b2o17b
2o16b3o$42bo$42b2o$18b2o$10b2o6bo12bo$10b2o8b3o7b3o8b2o$21bo12bo6b2o$
33b2o$9b2o$10bo$7b3o16b2o$7bo18b2o!

SKOP1880 (92 -> 80)

Code: Select all

x = 38, y = 44, rule = B3/S23
5bo$3ob3obo$3o4b3o$7b2o9$8b2o$7b3o4b3o$8bob3ob3o$11bo$23b2o$23b2o5$7b
2o$7b2o$b2o$2bo30b2o$2bobo19b3o7bo$3b2o18b2o$23bo2bo$24b2o$13b2o$12bo
2bo$14b2o18b2o$4bo7b3o19bobo$4b2o30bo$36b2o$30b2o$30b2o5$14b2o$14b2o!

SKOP1960 in 70 cells, down from 92-cell p8 reflector

Code: Select all

x = 40, y = 27, rule = B3/S23
26b2o$26b2o4$34b3o$32bo4bo$28b3o7bo2$27bo7b3o$28bo4bo$29b3o3$o18b2o$3o
16b2o17b2o$3bo34b2o$2b2o22bo$14bo11b2o$14bo12bo6b2o$3b2o9bo9bo9b2o$3b
2o6bo12bo$11b2o11bo$12bo22b2o$35bo$18b2o16b3o$18b2o18bo!

SKOP1972 (116 -> 92) twice

Code: Select all

x = 31, y = 52, rule = B3/S23
19bo$6b2o10bobo$6b2o9bo3bo$17bo3bo$17b2ob2o$27b2o$27bobo$29bo$29b2o2$
4bo$4b3o17b2o$7bo16bo$6b2o17b3o$27bo2$b2o$2bo$2bobo$3b2o$10b2ob2o$10b
o3bo$10bo3bo9b2o$11bobo10b2o$12bo4$o$3o$3bo$2b2o$21b2o$21bo$19bobo$19b
2o4$7bo$6b3o9b2o$5b2o2bo8bo$7bo11b3o$21bo4$9bo2bo$9b4o2$9b2o$9b2o!

Code: Select all

x = 48, y = 33, rule = B3/S23
32bo$32b3o$35bo$34b2o4bo$40bo$40bo4b2o$37bo9bo$31b2o4bobobo4bo$31b2o4b
o7bo$12b2o28bo$12b2o$27b2o13bo$10b4o6b2o5b2o8bo7bo$10bo2bo7bo15bobobo
4bo$21bobo13bo9bo$22b2o16bo4b2o$40bo$bo24b3o3b3o5bo$b3o9bobo2b2o$4bo8b
o5bo7bo5bo$3b2o7bo3b2o5b3o9b3o$11b3ob3o3bo5bo5bo$12bo2bo2bo2bo7bobo$13b
2o3b2o$15b2obo$2b2o12bo8bo2bo3bo2bo$bobo12bo8bobo5bobo$bo24bo7bo$2o$19b
2o$19bo$20b3o$22bo!

EDIT: here are some potential reductions I couldn't figure out

740 (37 x 20 or 74,20) - 116 cells
949 (73 x 13) - 116 cells
1017 (9 x 113) - 116 cells
1314 (73 x 18, 146;18, or 146 x 9) - 92 cells

[WhiteHawk]

Doublepost since last post is getting really cumbersome, and this is not a reduction to an LCM outperforming a loop that may have been known previously.

SKOP889 is reduced with 34p7 and a weird weld from 115 cells to 111 cells (formerly used 41p7.2) (EDIT: see below)

Code: Select all

x = 53, y = 38, rule = B3/S23
36b2o$36b2o2$2b2o5bo$o2bo4bo$9bo2b2o$6b2obobo2bo$o4b2o2b2o4bo4b2o23bo
$bo2bobob2o10b2o22bobo$2b2o2bo38bo$7bo4bo2bo$6bo5b2o2$12b4o$12bo2bo24b
o2bo$15bobo9bo11bo3bo$16b2o6bo14b2o3bo$25b2o12bo4bo$20b2o20b2obo$21bo
b2o20b2o$22bo4bo12b2o$22bo3b2o14bo6b2o$23bo3bo11bo9bobo$23bo2bo24bo$51b
2o4$21bo$20bobo22b2o$21bo23b2o6$29b2o$29b2o!

EDIT:

108 cells:

Code: Select all

Beat me to it!

[C_R_116]

Doublepost since last post is getting really cumbersome, and this is not a reduction to an LCM outperforming a loop that may have been known previously.

SKOP889 is reduced with 34p7 and a weird weld from 115 cells to 111 cells (formerly used 41p7.2)

Code: Select all

x = 53, y = 38, rule = B3/S23
36b2o$36b2o2$2b2o5bo$o2bo4bo$9bo2b2o$6b2obobo2bo$o4b2o2b2o4bo4b2o23bo
$bo2bobob2o10b2o22bobo$2b2o2bo38bo$7bo4bo2bo$6bo5b2o2$12b4o$12bo2bo24b
o2bo$15bobo9bo11bo3bo$16b2o6bo14b2o3bo$25b2o12bo4bo$20b2o20b2obo$21bo
b2o20b2o$22bo4bo12b2o$22bo3b2o14bo6b2o$23bo3bo11bo9bobo$23bo2bo24bo$51b
2o4$21bo$20bobo22b2o$21bo23b2o6$29b2o$29b2o!

108 cells:

Code: Select all

x = 45, y = 43, rule = B3/S23
28b2o$28b2o6$12b2o23bo$12b2o22bobo$37bo4$6b2o$7bo24bo2bo$7bobo9bo11bo
3bo$8b2o6bo14b2o3bo$17b2o12bo4bo$12b2o20b2obo$13bob2o20b2o$14bo4bo12b
2o$14bo3b2o14bo6b2o$15bo3bo11bo9bobo$15bo2bo24bo$43b2o4$13bo$12bobo22b
2o$13bo23b2o4$6bo5b2o$7bo4bo2bo$2b2o2bo14b2o$bo2bobob2o11b2o$o4b2o2b2o
4bo$6b2obobo2bo$9bo2b2o$o2bo4bo$2b2o5bo!

edit: I also might as well add this SKOP1270:

Code: Select all

x = 41, y = 41, rule = B3/S23
24b2o$24b2o6$8b2o23bo$8b2o22bobo$33bo4$2b2o$3bo24bo2bo$3bobo9bo11bo3bo
$4b2o6bo14b2o3bo$13b2o12bo4bo$8b2o20b2obo$9bob2o20b2o$10bo4bo12b2o$10b
o3b2o14bo6b2o$11bo3bo11bo9bobo$11bo2bo24bo$39b2o4$9bo$8bobo22b2o$9bo
23b2o2$4b2o$2bo2bo$o3bo4bo$2obo3b2o$17b2o$4b2o3bob2o4b2o$3bo4bo3bo$7bo
2bo$7b2o!

[WhiteHawk]

Going back to SKOPs down from rectifiers. Uses LCM materials of periods 9, 11, 13, 16, 20, 22, 25, 31, 38, 44, 52, 54, 58, 68, 82, 126, 127, and 146

SKOP612 (86 -> 74)

Code: Select all

x = 33, y = 24, rule = B3/S23
12b2o$12b2o2$10b4o$10bo2bo3$26b2o$bo24b2o$b3o$4bo11b2o6b6o$3b2o9bo2bo
6bo5bo$14b3o8bo3bo$15bo14b3o$25b5o2bo$25bo3bo$2b2o22b2obobo$bobo23bo2b
2o$bo23bobo$2o23b2o$19b2o$19bo$20b3o$22bo!

SKOP656 (92 -> 76)

Code: Select all

x = 30, y = 42, rule = B3/S23
11b2o$11b2obo$15bo$12bo$13bob2o$15b2o3$10bo$9bobo2b2o$10bo2b3o3b2o$13b
3o3b2o2$25b2o$o24b2o$2o$2o$bo2$2bo$2bo$2bo4$20b2o$2o5bo12bob2o$2o4b3o
12b3o4b2o$6b2obo12bo5b2o$8b2o4$27bo$27bo$27bo2$28bo$28b2o$28b2o$3b2o24b
o$3b2o!

SKOP702 (92 -> 71)

Code: Select all

x = 34, y = 28, rule = B3/S23
20bo$9b2o7b3o$9b2o6bo$17b2o2$2o8bo13b2o$bo6b2ob2o11bo$bobo8bo9bobo$2b
2o4bo3bo9b2o$9b3o3$24b2o$4bo19b2o$3b2o$3b2o$3bo23b3o$26bob2ob3o$18b2o
6bo2bo2bo$18b2o7b2o2b2o$23b2o$22bo2bo$22b2obo$22b3o2$23bobo$23b3o$23b
o!

SKOP738 (92 -> 90)

Code: Select all

x = 39, y = 30, rule = B3/S23
b3o9b2o$2b3o8b2o$6b3o$27b2o$27b2o2$14b2o$13b3o$14bobo$15b2o2$30b2o4b2o
$30b2o3bobo$35bo$34b2o$30b3o3b2o$29bo3bobo2bo$29b2obo3b2o$26bo5b4o$26b
5obo2bo$12b2o16bobobo$12bobo13bo4bo$13b3o12b2o$13b2o2$2o$2o$20b3o$14b
2o8b3o$14b2o9b3o!

SKOP748 in a sizeable reduction (116 -> 74), though maybe a smaller p11 could work (would have to be rattlesnake, I don't think p11 thumb works.

Code: Select all

x = 25, y = 46, rule = B3/S23
20bo$9b2o7b3o$10bo6bo$10bobo4b2o$11b2o6$4b2o$4bo$b2obo$b2ob2o5bo$12bo
$10bob2o$11b2o$11bo2$o20b2o$3o18bobo$3bo19bo$2b2o19b2o3$4b3o$4b2obo$4b
o2bo$bo3b2o$5b2o6$3b2o$3b2o3bo$2bo2bo$2bob2o$3b3o3$6b2o$6bo$7b3o$9bo!

SKOP754 (113 -> 88)

Code: Select all

x = 30, y = 45, rule = B3/S23
10bo$9bobo2$11bo$8bo2bo$12bo$12bo$8bo3bo$9b3o$5b2o7b3o$5b2o6bo3b2obo$
13bo7bo$13bo6bo$14bo2bo2$11b2o$11b2o6$5b2o$5b2o10b3o$16bo3bo$16b2ob2o
$26b2o$26bobo$28bo$28b2o2$3bo$3b3o17b2o$6bo16bo$5b2o17b3o$26bo2$2o$bo
$bobo$2b2o$9b2ob2o$9bo3bo$10b3o10b2o$23b2o!

SKOP884 (116 -> 104) - maybe a smaller p13 can work, but I couldn't fit Beluchenko's p13

Code: Select all

x = 47, y = 24, rule = B3/S23
4b2o27b2o$4bo28b2o$o4b3o6b2o$3o4bo8bo16b4o$3bo9bo19bo2bo$2b2o10b2o$20b
2o$20bo$3b2o13bobo24bo$3b2o13b2o23b3o$29b2o11bo$8b3o18bo12b2o$7bobob2o
16b2ob2o$7bo3bobo16bobo$7bobo3bo17bo$8b2obobo$2b2o6b3o30b2o$2bo2bo37b
obo$3b3o39bo$8bo36b2o$5b4o17b2o$5bo21bo$6bo17b3o$5b2o17bo!

SKOP950 (113 -> 72)

Code: Select all

x = 44, y = 25, rule = B3/S23
30bo$29bo2bo$29bo2bo2bo$31bo3bo$2o33bo$bo$bob2o$2bo14bo$9bo7b3o$4bo3b
2o10bo14bo$6bo12b2o14b2o$6b3o25b2o2$25b2o$24b2o14b2o$25bo14bo$11b3o27b
3o$13bo29bo$10b2o3bo$10bo$17bo7bo$15b2obo6bo3bo$18bo6bo2bo2bo$18b2o8b
o2bo$30bo!

SKOP1026 (92 -> 85)

Code: Select all

x = 48, y = 28, rule = B3/S23
20bo$9b2o7b3o$9b2o6bo$17b2o2$2o22b2o7b3o$bo22bo7b3o$bobo5b3o10bobo3b3o
$2b2o7bo10b2o$10b2o2$47bo$45b3o$4bo23b2o14bo$3b2o23bo15b2o$3b2o14b2o7b
3o$3bo16bo$18bo19b3o$18b2o3b2o15bo$24bo14b2o$21b3o$21bo4$38b3o$34b3o$
33b3o!

SKOP1143 (136 -> 116)

Code: Select all

x = 48, y = 39, rule = B3/S23
9b2o$5bo4bo20b2o$4bobobo22b2o$3bo2bob5o$3b3o6bo$b2o3bob2o$o2bob2ob2o$
b2o3b2o$3b2o10b2o23bo$3bo11b2o22bobo$bobo3b2o31bo$b2o4b2o3$9b2o$10bo24b
o2bo$10bobo9bo11bo3bo$11b2o6bo14b2o3bo$20b2o12bo4bo$15b2o20b2obo$16bo
b2o20b2o$17bo4bo12b2o$17bo3b2o14bo6b2o$18bo3bo11bo9bobo$18bo2bo24bo$46b
2o4$16bo$15bobo22b2o$16bo23b2o6$24b2o$24b2o!

SKOP1276 (116 -> 108)

Code: Select all

x = 30, y = 53, rule = B3/S23
11b2o$11b2o3$12bo$11b2o$10bobo8bo$10b2o7b3o$2b3o5bobo5bo$3b3o4b2o6b2o
6$5b2o6b2o4b3o$6bo5bobo5b3o$3b3o7b2o$3bo8bobo$12b2o$12bo3$12b2o$12b2o
6$5b2o$5b2o10b3o$16bo3bo$16b2ob2o$26b2o$26bobo$28bo$28b2o2$3bo$3b3o17b
2o$6bo16bo$5b2o17b3o$26bo2$2o$bo$bobo$2b2o$9b2ob2o$9bo3bo$10b3o10b2o$
23b2o!

SKOP1300 (116 -> 96)

Code: Select all

x = 34, y = 36, rule = B3/S23
14bo$14b3o$17bo$16b2o2$20bo$20b2o$21b2o$18b2o$18b3o$27b3o$28b2o$5b2o18b
2o$6bo19b2o$5bo21bo$5b4o$8bo21b2o$3b3o24bo$2bo2bo25b3o$2b2o6b3o20bo$8b
2obobo$7bobo3bo$7bo3bobo$7bobob2o$8b3o2$3b2o13b2o$3b2o13bobo$20bo$20b
2o$2b2o10b2o$3bo9bo$3o4bo8bo$o4b3o6b2o$4bo$4b2o!

SKOP1314 (92 -> 87)

Code: Select all

x = 37, y = 22, rule = B3/S23
27bo$26b2o$2o24b2o$bo24bo$bobo$2b2o$10b2ob2o$10bo3bo$10bo3bo$11bobo15b
2o$12bo16bobo$4b2o25bo2b2o$5bo24b2obobo$2b3o28bo$2bo26b5o2bo$30bo3b3o
$8b2o3bo5bo3bo5b2ob2o$8b2o2bobo3b2o3b2o3bo5bo$13b2o3b2o3b2o3b6o$18bo5b
o$30b2o$30b2o!

SKOP1386 (92 -> 88) - can a p11 reduce it by 2-3 cells?

Code: Select all

x = 62, y = 22, rule = B3/S23
15bo$3bo3b2o6b3o$2bobobobo9bo$3b2obo10b2o$5bobo32b2o$b3obobo32bo$o2bo
b2o31bobo$2o36b2o3$15b3o$14bobo$14bo45b2o$14bobo43bo$15b2o25b3o13bobo
$41bo3bo8bo3b2o$9bo30bo4bo6b2obo$7b2o32bob2o6bo4bo$9b2o26b2o3bo8bo3bo
$8bo27bobo13b3o$36bo$35b2o!

SKOP1397 (116 -> 108)

Code: Select all

x = 39, y = 45, rule = B3/S23
22b2o$22b2o6$6b2o23bo$6b2o22bobo$31bo4$2o$bo24bo2bo$bobo9bo11bo3bo$2b
2o6bo14b2o3bo$11b2o12bo4bo$6b2o20b2obo$7bob2o20b2o$8bo4bo12b2o$8bo3b2o
14bo6b2o$9bo3bo11bo9bobo$9bo2bo24bo$37b2o4$7bo$6bobo22b2o$7bo23b2o2$4b
2o$4bobo$6bo$6b2o$9bo5b2o$6b6o3b2o$5bo4b2o$4bobo3b3o$4bo2bo3bobob2o$2b
2ob2o2bobob2obo$3bobo3bo$3bobo$4bo!

SKOP1460 (116 -> 86)

Code: Select all

x = 41, y = 24, rule = B3/S23
4bo2bo$7bo$2bo5bo$8bo$16bo5bo$o6bo2b2o4b2o3b2o3b2o$bo4bobo3b2o2b2o3b2o
3bobo2b2o$2b3o2bo9bo3bo5bo3b2o$3o$4o2bo6bo24bo$o3bobo29b3o$4b3o4bo23b
o$4b2obo27b2o$3b3o2bo4$27b3o$26bo2bo7b2o$26bo10bobo$14bo24bo$13b2o11b
3o10b2o$13b2o12bo$13bo!

SKOP1612 (116 -> 114)

Code: Select all

x = 25, y = 42, rule = B3/S23
8b2obo2bob2o$b2o4bo2bo4bo2bo4b2o$b2o5bobo4bobo5b2o$9bo6bo6$9bo6bo$b2o
5bobo4bobo5b2o$b2o4bo2bo4bo2bo4b2o$8b2obo2bob2o8$6bo$6b3o$9bo$8b2o2$3b
o$2bo2bo$2bo2bo$4bo8b3o$12bo3bo$12b2ob2o$11bo4bo$11b2ob2o$11bo3bo3b2o
$2b2o8b3o5bo$2bo17bob2o$obo14b2ob2obo$2o6b2o8bo$4b2o2b2o6bobo$3bobo10b
2o$3bo$2b2o!

Some failed attemps for anyone who wants to try

902 (11x82 or 22,82) - 123 cells

1088 (64x17 or 64,68) - 92 cells

[WhiteHawk]

Is there any way to get SKOPs out of the new Siffrin's p103? There aren't many useable sparks and I haven't figured out if mold of caterer even work

Code: Select all

x = 42, y = 42, rule = B3/S23
15bo$14bobo$15bo6$15b3o$15b2obo$15b2o2bo$16bob2o$15b3o2$bo$obo5b3obo$
bo6b5o$8bo3bo$9bobo$10b2o3$30b2o$30bobo$29bo3bo$29b5o6bo$29bob3o5bobo
$40bo2$24b3o$22b2obo$22bo2b2o$23bob2o$24b3o6$26bo$25bobo$26bo!

EDIT: This has got to be the most uncooperative oscillator I have ever tried to get SKOPs from. It produces next to no useable sparks, and while there is a tiny duoplet, it ends up right next to the tub).

[EvinZL]

If Galoomba's table on LifeWiki was correct before this post, then LCM(Ellison p4 HW hybrid, Siffrin's p103) is the new SKOP412 at 113 cells

Code: Select all

x = 42, y = 50, rule = B3/S23
15bo$14bobo$15bo5$16bo$15bobo$14bo3bo$19bo$18b2o$15b4o$16bo$bo7bo$obo
5bo3bo$bo5bo4b2o$8bo3bo$9bob2o$10b2o3$30b2o$29b2obo$29bo3bo$28b2o4bo5b
o$29bo3bo5bobo$32bo7bo$25bo$23b4o$22b2o$22bo$23bo3bo$24bobo$25bo5$26bo
$25bobo$26bo$8b2o11bo$8bo2b6o3bobo$9b2o6b4obo$6b3o13bob2o$6bo2bobo5b2o
2b2ob2o$7b2o13bo$14b2o4bobo$14b2o4b2o!

[unix with clock]

p412, 515 LCM oscillators using periodic eater 2 variants:
111P412, down from 113.

Code: Select all

x = 42, y = 49, rule = B3/S23
28bobo$28b2obobo$31bob3o$28b3o5bo$27bo5b3obo$27b2ob2o4bo2bo$31bob2obob
2o$15bo11b2obo2bo2bo$14bobo10b2obobo2b2o$15bo15bo5$16bo$15bobo$14bo3bo
$19bo$18b2o$15b4o$16bo$bo7bo$obo5bo3bo$bo5bo4b2o$8bo3bo$9bob2o$10b2o3$
30b2o$29b2obo$29bo3bo$28b2o4bo5bo$29bo3bo5bobo$32bo7bo$25bo$23b4o$22b
2o$22bo$23bo3bo$24bobo$25bo5$26bo$25bobo$26bo!

113P515, down from a 136-cell rectifier loop.

Code: Select all

x = 43, y = 50, rule = B3/S23
31b2o$31b2o3bo$35bobo$31b2o2bobo$29b3obo4b2o$28bo4bob3o2bo$28b2ob2o5b
2o$32bobob2o$16bo11b2obo2b2obo$15bobo10b2obobo$16bo15b2o5$17bo$16bobo$
15bo3bo$20bo$19b2o$16b4o$17bo$2bo7bo$bobo5bo3bo$2bo5bo4b2o$9bo3bo$10bo
b2o$11b2o3$31b2o$30b2obo$30bo3bo$29b2o4bo5bo$30bo3bo5bobo$33bo7bo$26bo
$24b4o$23b2o$23bo$24bo3bo$25bobo$26bo5$27bo$26bobo$27bo!

[WhiteHawk]

While looking for SKOPs in Pedestrian Life, I found a reduction to SKOP594 (73 -> 71 cells) with a variant of p11 thumb

Code: Select all

x = 35, y = 21, rule = B3/S23
20bo$9b2o7b3o$9b2o6bo$17b2o2$2o22b2o$bo22bo$bobo5b3o10bobo$2b2o7bo10b
2o3b2o$10b2o15bo$29bo$25b4obo$25bo4bo$4bo23b2ob2obo$3b2o21b2obobob2o$
3b2o21b2o3bo$3bo27bo$23b2o5bo$22bobo$22bo$21b2o!

EDIT: Also reposting from Oscillator Discussion Thread. Really hopeful the p206 can be brought down two or three cells

p412, 515 LCM oscillators using periodic eater 2 variants:
111P412, down from 113.

Code: Select all

113P515, down from a 136-cell rectifier loop.

Code: Select all

only 2 cells bigger than SKOP 206, pulled from EDIT: 2021 p26 LCM. Is there a smaller p2 cheater?

Code: Select all

x = 42, y = 52, rule = B3/S23
25b2o3b2o$22bo2bobo2bo$21bobobobo5bobo$22bob2o2b5ob2o$24bo4bo2bo$23bo
bob2o2b2o$23b2o2b3obob2o$27bo5bo$27b2o2bobo$30bobo$15bo11b2obo$14bobo
10b2o2bo$15bo14b2o5$16bo$15bobo$14bo3bo$19bo$18b2o$15b4o$16bo$bo7bo$o
bo5bo3bo$bo5bo4b2o$8bo3bo$9bob2o$10b2o3$30b2o$29b2obo$29bo3bo$28b2o4b
o5bo$29bo3bo5bobo$32bo7bo$25bo$23b4o$22b2o$22bo$23bo3bo$24bobo$25bo5$
26bo$25bobo$26bo!

Also a less hopeful p309 using the p3 from 90p51, which is 13 cells larger than SKOP309. I am sure there is a smaller p3 cheater

Code: Select all

x = 43, y = 49, rule = B3/S23
29b2o5bo$29bo4b2obo$24bob2obo2b2o3bo$24b2obob2o3bo2bob2o$27bo5bo2b2ob
o2bo$27b2ob2o3bo5b2o$31bobob2o$15bo11b2obo2b2o3bo$14bobo10b2obobo3b3o
$15bo15bo2b2o$32b2o2bo$35b2o3$16bo$15bobo$14bo3bo$19bo$18b2o$15b4o$16b
o$bo7bo$obo5bo3bo$bo5bo4b2o$8bo3bo$9bob2o$10b2o3$30b2o$29b2obo$29bo3b
o$28b2o4bo5bo$29bo3bo5bobo$32bo7bo$25bo$23b4o$22b2o$22bo$23bo3bo$24bo
bo$25bo5$26bo$25bobo$26bo!

EDIT: Are there other cheaters/reactions which might work to create other LCM periods?

EDIT 2:
SKOP748 with more standard p11 (74 -> 72)

Code: Select all

x = 24, y = 35, rule = B3/S23
19bo$8b2o7b3o$9bo6bo$9bobo4b2o$10b2o6$3b2o$3bo$2obo$2ob2o5bo$11bo$9bo
b2o$10b2o$10bo2$20b2o$20bobo$4bo17bo$4b3o15b2o$7bo3bo$6bo5bo$6bo6bo$11b
obo2bo$8b3o2bobobo$11bobo2bo$8b4obo$7bo4bo$8b4o2$10b2o$10b2o!

EDIT 3: SKOP2156 reduced (104 -> 100)

Code: Select all

x = 39, y = 34, rule = B3/S23
29bo$28bobo$19b2o7bobo$19b2o6b2ob3o$33bo$27b2ob3o$27b2obo$18b3o$20bo$
18b3o4$30b2o2b2o$30b2o2bo$35bo$34b2o$33bo$31b5o$2b2o27b3o$2b2o26b2o3b
2o$31bo$29bobo2bo$27b3obobobo$13b3o10bo5bo2b3o$13bo12b2o5b2o3bo$13b3o
19b3o$3bob2o28bo$b3ob2o$o$b3ob2o6b2o$3bobo7b2o$3bobo$4bo!

SKOP1518 (72 -> 69)

Code: Select all

x = 34, y = 28, rule = B3/S23
21b3o$20bo2bo$20bo2bo$20b2o4$30b3o$30bo2bo$33bo$13b3o15b3o$13bo$13bo2b
o$3b2o9b3o$4bo$3bo$3b2o$5bo19b2o$3b5o15bo2bo$5b3o15bo2bo$2b2o3b2o14b3o
$7bo$4bo2bobob2o$3bobobob2obo$b3o2bo$o3b2o$b3o$3bo!

SKOP792 (83 tie -> 81)

Code: Select all

x = 34, y = 24, rule = B3/S23
2bo$bobo9b2o$bobo10bo$2ob3o5b3o$2bo2bo5bo$2bob2o$3bo2bo$4b4o2$4b2o$4b
o9b2o$5bo7bo2bo$4b2o10bo$13b3o2$11b2o12b2o$11b2o12b2o4$8b2o18bo$4b2o4b
4o10b2o2b2ob3o$4b2o2b2ob3o10b2o4b4o$8bo19b2o!

EDIT 4 (march 2nd): SKOP572 (102 -> 99)

Code: Select all

x = 32, y = 28, rule = B3/S23
4b2o$4bo$o4b3o7bo$3o4bo6b2o$3bo10b2o$2b2o10bo$20b2o$20bo$3b2o13bobo$3b
2o13b2o$9bo$8b4o$7bobob2o$6b2o3bobo$7bobo3b2o$8b2obobo12b2o$2b2o5b4o13b
o$2bo2bo5bo15bo$3b3o20b2o$8bo$5b4o15b4o$5bo19bo2bo$6bo19b2obo$5b2o10b
2obo5bo2bo$17bob2o5b3ob2o$28bobo$28bobo$29bo!

EDIT 5: a SKOP which is not x11 - (199 x 9) SKOP1791 (136 -> 126)

Code: Select all

x = 60, y = 45, rule = B3/S23
24b2o16b2o$24b2o7b2o7b2o$33b2o5$8b2o48b2o$8b2o48b2o3$26bo14bo$3b2o21b
3o10b3o$3bo$2obo23b3o8b3o$o2bob2o$2b2ob2o3b2o$10b2o$2b3ob2o$bo4bo9b2o
32b2o$2bobo3bo7b2o32b2o$3b2obob3o$5bobo3bo$5bobo2b2o$6bo9b2o32b2o$16b
2o32b2o5$27b3o8b3o2$26b3o10b3o$26bo14bo3$8b2o48b2o$8b2o48b2o5$33b2o$24b
2o7b2o7b2o$24b2o16b2o!

SKOP1990 (123 -> 108)

Code: Select all

x = 64, y = 45, rule = B3/S23
28b2o16b2o$28b2o7b2o7b2o$37b2o5$12b2o48b2o$12b2o48b2o$4b2o$3bobo$ob3o
3bo21b2o12b2o$2o6bo20b3o12b3o$4bo3bo21bobo10bobo$4bo6b2o18b3o8b3o$4bo
3b3obo$7bobo$7b2o2$20b2o32b2o$20b2o32b2o4$20b2o32b2o$20b2o32b2o5$31b3o
8b3o$30bobo10bobo$29b3o12b3o$30b2o12b2o3$12b2o48b2o$12b2o48b2o5$37b2o
$28b2o7b2o7b2o$28b2o16b2o!

EDIT 6:
SKOP963 (136 -> 122)

Code: Select all

x = 51, y = 33, rule = B3/S23
23b2o$20b2o2bo$20bo3bobo$6bo14b3obobo$6b3o16bobo$9bo9b4ob2obob2o$8b2o
8bo6bobob2o11b2o$18b2obo5bo14b2o$22bo3b2o$b2o20bo8b2o$bo30bo16b2o$2b3o
25bobo16bo$4bo25b2o15bobo$47b2o$10b2o$2o7bo2bo$2o6b2ob2o$10bo$40bo$38b
2ob2o6b2o$38bo2bo7b2o$39b2o$2b2o$bobo15b2o25bo$bo16bobo25b3o$2o16bo30b
o$17b2o29b2o2$7b2o$7b2o32b2o$41bo$42b3o$44bo!

EDIT 7:
SKOP790 (123 -> 109)

Code: Select all

x = 53, y = 40, rule = B3/S23
8bo6b2o$9b2o4bo2b2o$7b2o7b2ob3o$9bo12bo$16b2ob3o$16b2obo$41b2o$41b2o$
4b2o$4b2o$o$3o$3bo$2b2o2$12bo$11bobo$10b2ob2o3$38b2ob2o$39bobo$40bo2$
49b2o$49bo$50b3o$52bo$b2o44b2o$bo2bo42b2o$2bobo5b2o$10b2o$4bobo26bob2o
$31b3ob2o$6bobo21bo12bo$31b3ob2o7b2o$8bob2o21b2o2bo4b2o$36b2o6bo$10bo
bo$11b2o!

SKOP1540 (116 -> 92)

Code: Select all

x = 54, y = 34, rule = B3/S23
31bo$31b3o$34bo$33b2o$14bo7b2o$14b3o5b2o$17bo$16b2o2$52bo$51bobo$52bo
$34b3o$34bo2bo2$36b2o$2bo$bobo9b2o$bobo3bo6bo13b2o$2ob2o2bobob3o$2bo2b
o3bobo16bo2bo$2bobo3b3o18b3o$3bo4b2o3bo$4b6o2bobo$7bo5bo$4b2o$4bo43b2o
$5bo42bo$4b2o36b2o5b3o$42b2o7bo$31b2o$31bo$32b3o$34bo!

SKOP1820 (116 -> 92)

Code: Select all

x = 57, y = 34, rule = B3/S23
22bo$20b3o$19bo$19b2o$30b2o7bo$30b2o5b3o$36bo$36b2o2$bo$obo$bo16bo$17b
3o27b2o$17bobo27b2o$16b2o2$50b3o$49bob2ob3o$41b2o6bo2bo2bo$24b2o15b2o
7b2o2b2o$22bobo21b2o$22b3o20bo2bo$23bo16bo4b2obo$39bobo3b3o$40bo$46bo
bo$4b2o40b3o$5bo40bo$2b3o5b2o$2bo7b2o$21b2o$22bo$19b3o$19bo!

EDIT 8:
SKOP665 (116 -> 100)

Code: Select all

x = 59, y = 43, rule = B3/S23
45bo$32b2o9b3o$33bo8bo$33bobo6b2o$34b2o$29b2o$29b2o$52bo$52bo$52bo$38b
o16b2o$37b3o15bobo$36bo2bo17bo$36b2o19b2o$36b2o$21b2o$20bobo$20bo$19b
2o3$38b2o$38bo$36bobo$36b2o$21b2o$2o19b2o$bo17bo2bo$bobo15b3o$2b2o16b
o$6bo$6bo$6bo$28b2o$28b2o$23b2o$15b2o6bobo$4bo2bo8bo8bo$3bob2obo4b3o9b
2o$4bo2bo5bo$4bo2bo$3bob2obo$4bo2bo!

SKOP1463 (136 -> 118)

Code: Select all

x = 66, y = 41, rule = B3/S23
13bo$13b3o9b2o$16bo8bo$15b2o6bobo$23b2o$28b2o$28b2o$6bo$6bo$6bo$2b2o16b
o$bobo15b3o$bo17bo2bo$2o19b2o$21b2o$36b2o$36bobo$38bo$38b2o3$19b2o$20b
o$20bobo$21b2o$36b2o$36b2o19b2o$36bo2bo17bo$37b3o15bobo2b2o$38bo16b2o
3bo$52bo8bo$52bo7b2o$52bo$29b2o27b4o$29b2o28bo2bo$34b2o24b2obo$33bobo
6b2o10bo5bo2bo$33bo8bo9b3o5b3ob2o$32b2o9b3o5bo10bobo$45bo5b2o9bobo$63b
o!

EDIT 9:

SKOP935 (136 -> 130)

Code: Select all

x = 73, y = 46, rule = B3/S23
53bo$53b3o$56bo14b2o$55b2o14bo$69bobo$69b2o2$35bo$34bobo$34bobo$32b3o
b2o$31bo$32b3ob2o$34bob2o21b3o$59bo$16bo42b2obo$16b3o42b2o$19bo$18b2o
2$7b2o$8bo$8bobo55b2o$9b2o55bobo$68bo$68b2o2$57b2o$57bo$14b2o42b3o$14b
ob2o42bo$2o15bo$o2b2o10b3o21b2obo$b2obo34b2ob3o$5bo39bo$5bo33b2ob3o$b
2obo35bobo$o2b2o35bobo$2o39bo2$6b2o$5bobo$5bo14b2o$4b2o14bo$21b3o$23b
o!

SKOP1794 (72 -> 70)

Code: Select all

x = 29, y = 33, rule = B3/S23
7b3o$6bo2bo$7bo3bo$2bo5b3o$3bo5bo$2ob2o$o2bo9bo$obo9bobo$bo9bo2bo$10b
2ob2o$5bo5bo$4b3o5bo$3bo3bo$5bo2bo$5b3o3$18bo$18b3o$18bobo2$17b3o$17b
2obo$17bo2bo$18b2o$13b2o7b2o2b2o$13b2o6bo2bo2bo$21bob2ob3o$22b3o3$19b
2o$19b2o!

EDIT 10: (hopefully last)
SKOP711 (136 -> 134)

Code: Select all

x = 61, y = 37, rule = B3/S23
35b2o$35bo2b2o$33bobo3bo$32bobob3o$32bo3bo$29b2obo3bob3o$29b2obo3bobo
2bo$32bobob2o2b2o$32b2o13bo$45b3o$44bo$44b2o$6b2o$5bobo$b2o2bo$bobob2o
41b2o$3bo44b2o$3b4o$b2o3bo$o2b3o$2obo31b2o$3bo31b2ob2o15b2o$3bobo17b3o
9b3o17bobo$4b2o15b2ob2o31bo$24b2o31bob2o$55b3o2bo$54bo3b2o$54b4o$11b2o
44bo$11b2o41b2obobo$55bo2b2o$53bobo$53b2o$15b2o$16bo$13b3o$13bo!

SKOP725 (116 -> 106)

Code: Select all

x = 43, y = 31, rule = B3/S23
10b2o$10b2o5bo$16bobo$17bo3$9b3o2$3b2o2bo4bo2b3o$3bo8bo$2obo8bobo4bo3b
2o$o2bob4o5bo4bo2bobo16b2o$2b2obo3b3o2bo4bobobo17bo$3bobo16bo4b2o9b2o
bo$2bo2b2o6bo3bo9b2o11bo$3b2o2bo5bo19bo$4bob2o6bo4b2o12b2o3bo$4bobo4b
3o6bo15bo$3b2obobo2bo5b3o14b3o$7b2o8bo4$29b3o$29bo$27bo3b2o$32bo$25bo
$24bob2o$24bo$23b2o!

SKOP945 (116 -> 100)

Code: Select all

x = 32, y = 47, rule = B3/S23
17b2o$17b2o3$15bo$13bob2o$12bo2bo$15bo$12b3o2$23bobo$23bo2bo$23bo$2b2o
20b4o$2b2o22bo$7bo22b2o$6b4o20b2o$10bo$7bo2bo$8bobo2$19b3o$18bo$7b2o9b
o2bo$7b2o8b2obo$2o16bo$obo$bo$15b2o$15b2o$6b3o$6bo5b2o$12bobo$8bo5bo$
6b2o6b2o$b2o6b2o$2bo5bo$2bobo$3b2o5bo$8b3o3$15bo$14bobo$15b2o$8b2o$8b
2o!

SKOP984 (83 -> 80)

Code: Select all

x = 42, y = 44, rule = B3/S23
14bo$14b3o$17bo19bo$16b2o18bob4o$35bobob3o$34bobo$35bo$35b2o$35b2o$35b
2o11$17b3o$16b3obo$15bo3b2o8b3o$15bob3o9b2o$16b3o$17bo4$5b2o$5bo2bo3$
5bob2o$2o2bobo$o4bo18b2o$4bo19bo$bo2bo20b3o$19b2o6bo$19b2obo$23bo$20b
o$21bob2o$23b2o!

EDIT 11: oops, one more edit

SKOP1216 (92 -> 76)

Code: Select all

x = 46, y = 26, rule = B3/S23
12b3o$11b3o$7b3o3$30b2o$26bo3b2o$24b3o$7b2o14bo$7bo15b2o14b2o$7b3o30b
2o2b2o$37b2obo3b2o$17b3o17bo$2b2o15bo17b3o$3bo14b2o$3o$o$31b3o$33bo$25b
2o3bob2o$17b3o5b2o2b2o$13b3o14b2o$12b3o2$39b2o$39b2o!

SKOP1088 (92 -> 73)

Code: Select all

x = 42, y = 28, rule = B3/S23
22bo$20b3o$19bo$19b2o$2o$bo$bobo$2b2o22b2o$26b2o2$14b3o13bo$14bobo13b
o$3b2o9bo2bo12b2o8b2o$4bo11b2o22b2o$b3o$bo30b2o$31b3o$29b2ob2o$29b3o$
10bo2bo15b2o$10b4o$21b2o$12b2o7b2o8b2o$12b2o18bo$32bo2$35b2o$35b2o!

SKOP1600 (92 -> 89) - figure eights don't help

Code: Select all

x = 40, y = 32, rule = B3/S23
20b2o$21bo$21bob2o$22bo$29bo$24bo3b2o$26bo$26b3o5$31b3o$11b2o20bo$b2o
8b2o17b2o3bo$2bo15bo11bo$bo15bo2bo3b2o11bo$b2o14bo2bo3b2o9b2obo$3bo13b
2o19bo$b3o11bo22b2o$o12bo2bob2o$2o10b2o2$28b2o$29bo$26b3o$18b3o5bo$4b
2o21b2o$4b2o22bo$27bo$17b2o8b2o$17b2o!

[WhiteHawk]

Too many edits on last post, and also this is below p600.

SKOP584 down a cell to 63 cells with different sparking location (Main Wiki SKOP table says SKOP is 65 cells, though a 64-cell form was known in 2022 and was on the Galooma collection and on the main p146 pi-heptomino hassler page; in any case this is smaller)

Code: Select all

x = 37, y = 20, rule = B3/S23
27bo$26b2o$2o24b2o$bo24bo$bobo$2b2o$10b2ob2o$10bo3bo$10bo3bo16b2o$11b
obo17b2obo$12bo22bo$4b2o26bo$5bo27bob2o$2b3o30b2o$2bo2$8b2o3bo5bo3bo$
8b2o2bobo3b2o3b2o$13b2o3b2o3b2o$18bo5bo!

EDIT: Surprising SKOP531 (9,59) with p9 thumb in a different place than usual SKOPs (136 -> 128)

Code: Select all

x = 44, y = 43, rule = B3/S23
22b2o$23bo$6b2o15bobo3bo$6bo2b2o13b2o3bo$4bobo3bo18bo$3bobob3o$3bo3bo
$2obo3bob3o$2obo3bobo2bo$3bobob2o2b2o$3b2o$23bo$21b2ob2o$21bo2b2o$3b3o
15b2o3bo$23b3o$23b3o$15bo$3b2o8b2ob2o$4bo8b2ob2o$b3o8bo3b2o11b3o$bo11b
obo13bobo11bo$13b3o11b2o3bo8b3o$27b2ob2o8bo$27b2ob2o8b2o$29bo$19b3o$19b
3o$18bo3b2o15b3o$19b2o2bo$19b2ob2o$21bo7$15bo$15bo3b2o$15bo3bobo$21bo
$21b2o!

(EDIT 4: ANOTHER SKOP531 in 128 cells!

Code: Select all

x = 41, y = 36, rule = B38/S23
6b2o5b2o$5bobo6bo$b2o2bo7bo$bobob2o6b2o15b2o$3bobo24bo4bo$3bobo26bobo
bo$b2o3bo21b5obo2bo$o2b3o22bo5bob2o$2obo26b5o3b2o$3bo10b2o20b2o2bo$3b
2o9bobo12bo2bobo3b2o$16bo12bo5b3o$14bobo20bo$14b2o14bo2bo3bobo$32b2o4b
2o5$23b3o$22bo3bo$22b2ob2o5bob2o$32b2obo6$34b2o$29bo2bo2bo$28bob5o$25b
o2bo$25b4ob3o$29bo3bo$27bobo2b2o$27b2o!

)

As a bonus, reductions to SKOP742 (123 -> 93), SKOP1166 (123 -> 95) and SKOP2014 (123 -> 101)

Code: Select all

x = 47, y = 21, rule = B3/S23
21bo6bo$21b3o4b3o$24bo6bo$23b2o5b2o$43bo$18b2o21b2o$18b2o23b2o$42bo2$
11b2o17bo3bo9bo$5b2o4b2o15bobobobo9bo$b2ob2obo22bo3bo9bo$4obob3o$45bo
$4b3obob4o4b2o25b2o$6bob2ob2o5b2o25b2o$b2o4b2o37bo$b2o25b2o5b2o$28bo6b
o$29b3o4b3o$31bo6bo!

Code: Select all

x = 56, y = 21, rule = B3/S23
19bo6bo$17b3o4b3o$16bo6bo$16b2o5b2o$5bo$3bobo22b2o$4bobo21b2o$4bo2$13b
ob3o$2b3o6b2o5bo$13bob3o36b2o$46bo7bo$b2o33b2o14bobo$3bo24b2o5bo2b2o12b
2o$o27b2o5b2ob2o7b3o$b2o32b3o7b2ob2o$11b2o5b2o11b2o12b2o2bo$12bo6bo10b
obo14b2o$9b3o4b3o11bo7bo$9bo6bo12b2o!

Code: Select all

x = 57, y = 26, rule = B3/S23
12b3o$11b3o$7b3o3$41bo6bo$26bo12b3o4b3o$24b3o11bo6bo$7b2o14bo14b2o5b2o
$7bo15b2o31bo$7b3o18b2o25b2o$28b2o25b2o$17b3o35bo$2b2o15bo$3bo14b2o20b
o3bo9bo$3o35bobobobo9bo$o39bo3bo9bo2$52bo$28b2o23b2o$17b3o8b2o21b2o$13b
3o37bo$12b3o18b2o5b2o$34bo6bo$31b3o4b3o$31bo6bo!

EDIT 2: Possible SKOP3286 at 107 cells?

Code: Select all

x = 24, y = 50, rule = B3/S23
8bo$7bo2bo$7bo2bo2bo$9bo3bo4bo$13bo2b2o$18b2o$17bo3$3b2o$4bo$4bobo6bo
$5b2o6bo$12bobo2$12bobo$3b2o7bobo5b2o$4bo7bobo5bobo$4bobo6bo8bo$5b2o15b
2o4$20b2o$20bobo$22bo$22b2o2$8b2o7b2o$8b2o7b2o8$7b2obo2bob2o$2o4bo2bo
4bo2bo4b2o$2o5bobo4bobo5b2o$8bo6bo6$8bo6bo$2o5bobo4bobo5b2o$2o4bo2bo4b
o2bo4b2o$7b2obo2bob2o!

Also this p2120 is smaller than 92 cells, but also not sure of SKOP status (85 cells)

Code: Select all

x = 21, y = 47, rule = B3/S23
5bo$4bo2bo$4bo2bo2bo$6bo3bo4bo$10bo2b2o$15b2o$14bo3$2o$bo$bobo6bo$2b2o
6bo$9bobo2$9bobo$2o7bobo5b2o$bo7bobo5bobo$bobo6bo8bo$2b2o15b2o4$17b2o
$17bobo$19bo$19b2o2$5b2o7b2o$5b2o7b2o$b2o$b2o$b2o2$bo$2o$bo$2b2o9bo$b
3o8b3o$2bo9b2o$14bo$14b2o$14bo2$13b2o$13b2o$13b2o!

EDIT 3: Reduction to SKOP1463 with a weld and different p11 (118 -> 117)

Code: Select all

x = 59, y = 48, rule = B3/S23
13bo$13b3o9b2o$16bo8bo$15b2o6bobo$23b2o$28b2o$28b2o$6bo$6bo$6bo$2b2o16b
o$bobo15b3o$bo17bo2bo$2o19b2o$21b2o$36b2o$36bobo$38bo$38b2o3$19b2o$20b
o$20bobo$21b2o$36b2o$36b2o19b2o$36bo2bo17bo$37b3o15bobo$38bo16b2o$52b
o$52bo$52bo$29b2o$29b2o27bo$34b2o20b3o$33bobo6b2o7bo3bo$33bo8bo7bo5bo
$32b2o9b3o3bo6bo$46bo2bobo$45bobobo2b3o$46bo2bobo$49bob4o$50bo4bo$51b
4o2$53b2o$53b2o!

EDIT 5: SKOP931 (136 -> 128)

Code: Select all

x = 87, y = 40, rule = B3/S23
13bo$13b3o9b2o$16bo8bo$15b2o6bobo$23b2o$28b2o$28b2o$6bo$6bo$6bo$2b2o16b
o$bobo15b3o$bo17bo2bo$2o19b2o$21b2o$36b2o$36bobo$38bo$38b2o8bo$48b3o16b
o$51bo14b2o4bo$19b2o29b2o13bobo$20bo44b3o2b2o2bo$20bobo47bo3bo7b2o$21b
2o28b2o8bobo7bobo8b2o$36b2o13b2o7bo3bo$36b2o22bo2b2o2b3o$36bo2bo27bob
o13b2o$37b3o22bo4b2o14bo$38bo28bo16b3o$52bo33bo$52bo$52bo$29b2o24b2o$
29b2o24bobo$34b2o21bo$33bobo6b2o13b2o$33bo8bo$32b2o9b3o$45bo!

EDIT 6: SKOP784 (78 -> 72)

Code: Select all

x = 39, y = 26, rule = B3/S23
32b2o$30bob2o$29bo$32bo$28b2obo$28b2o3$34bo$29b2o2bobo$24b2o3b3o2bo$24b
2o3b3o2$18b2o18bo$18b2o16b3o$35bo$35b2o$11b2o$3b2o6bo12bo$3b2o8b3o7b3o
8b2o$14bo12bo6b2o$26b2o$2b2o$3bo$3o16b2o$o18b2o!

EDIT 7:
SKOP624 (83 -> 80)

Code: Select all

x = 25, y = 39, rule = B3/S23
5b2ob2o$6bobo$7bobo$7b2o$8bo$7bo$5b2o6bobo$b2ob2o5b2ob2o$b2o7bob2o$9b
o4b2o$8b2o5bo$8bo2$7b2o$7b2o$19b2o$19bo$20bo$19b2o3$21b2o$b2o19bo$b2o
18bo$13b3o6b3o$12bo11bo$11bo$13bo$o11bo$3o6b3o$3bo18b2o$2bo19b2o$2b2o
3$4b2o$4bo$5bo$4b2o!

[WhiteHawk]

p178 Pi hassler

Code: Select all

SKOP178, at 84 cells, down from 144-cell jubjub loop

Code: Select all

x = 44, y = 33, rule = B3/S23
8bo8b2o14bo$8b3o6b2o12b3o$11bo18bo$10b2o18b2o$o$3o31bo$3bo29bobo$2b2o
30bo5$34bob2o$15b2o4bo12b2obo$21b2o$21b3o2$20b3o$21b2o$6bob2o12bo4b2o$
6b2obo5$9bo30b2o$8bobo29bo$9bo31b3o$43bo$12b2o18b2o$13bo18bo$10b3o12b
2o6b3o$10bo14b2o8bo!

Not much hope for LCMs though

EDIT: Here's one (really hoping someone thinks of more, because I can't find things that work)
SKOP1958 (123 -> 112)

Code: Select all

x = 47, y = 33, rule = B3/S23
11bo8b2o14bo$11b3o6b2o12b3o$14bo18bo$13b2o18b2o$3bo$3b3o31bo$6bo29bob
o$5b2o30bo4$b2o$bobo33bob2o$3bo20b2o11b2obo$3b2o18bo2bo$5bo18bobo$3b5o
15bo2bo$5b3o15bobo$2b2o3b2o14bo2bo$7bo3b2o11b2o$4bo2bobo2bo$3bobobob2o
$b3o2bo$o3b2o$b3o$3bo8bo30b2o$11bobo29bo$12bo31b3o$46bo$15b2o18b2o$16b
o18bo$13b3o12b2o6b3o$13bo14b2o8bo!

[Chris857]

EDIT: Here's one (really hoping someone thinks of more, because I can't find things that work)

Pretty sure this was posted to discord, it's a 96 cell p712 using figure eight. (I'm not positive if SKOP)

Code: Select all

x = 48, y = 33, rule = B3/S23
12bo8b2o14bo$12b3o6b2o12b3o$15bo18bo$14b2o18b2o$4bo$4b3o31bo$7bo29bob
o$6b2o30bo5$38bob2o$25b2o11b2obo$24bo2bo$3b3o18b2ob2o$3b3o18bo2bo$3b3o
17b2ob2o$3o21bo2bo$3o7bob2o11b2o$3o7b2obo5$13bo30b2o$12bobo29bo$13bo31b
3o$47bo$16b2o18b2o$17bo18bo$14b3o12b2o6b3o$14bo14b2o8bo!

[WhiteHawk]

EDIT: Here's one (really hoping someone thinks of more, because I can't find things that work)

Pretty sure this was posted to discord, it's a 96 cell p712 using figure eight. (I'm not positive if SKOP)

Code: Select all

No, all 8n oscillators have at most 92 cells in SKOPs (see p8 glider reflector (RT=64) - 8, 16, 24, 32, 40, 48, & 56 have SKOPs which also are below 92 cells)

Code: Select all

x = 102, y = 109, rule = B3/S23
86b2o8b2o$87bo8b2o$86bo$86b2o9bo$88bo8b2o$86b3o2b2o3bo2b2o$85bo5b2o5b
obo$85b2o13bo3$100b2o$95b2o3b2o$95b2o4$96b2o$96bobo$98bo$98b2o3$84bo$
84bobo$84b2o65$2b2o$3bo$3bobo$4b2o4$5b2o$2o3b2o$2o3$bo13b2o$bobo5b2o5b
o$b2o2bo3b2o2b3o$3b2o8bo$4bo9b2o$15bo$4b2o8bo$4b2o8b2o!

[WhiteHawk]

p116 Karel hassler

Code: Select all

This appears to be the new SKOP116 at 50 cells (the previous SKOP116 LCM oscillator xp116_y6o4an7zy711zy166y5ok4kozym31e8zx32acyc6a8oz2egozy535453y5cc had a minimum population of 68 cells.)

Remember this SKOP thread exists too.

(Wow, for SKOPs that I didn't think would ever be surpassed, this one is probably one of the more surprising) Unrelated, this p116 (unlike both Siffrin's p103 and the p178 pi-heptomino hassler) is fortunately easily amenable to many LCMs, which provide SKOP reductions (all previously using p58 pi-heptomino hassler unless noted).

SKOP232 (66 -> 62)

Code: Select all

x = 33, y = 38, rule = B3/S23
30b3o$12b2o16b3o$12b2o16b3o$27b3o$27b3o$20b2o5b3o$20b2o$4bo$3bobo$4bo
2$11b3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b2o$17b3o$17bo2bo$18b3o2$
27bo$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

SKOP348 (86 -> 66) - formerly xp348_yzyzxca230oomewcczyzyz33y3cczzyzyzwo4ozyzyl84sy3gs26x1zzzzzzzzzzzzycg0s4y3sg8zy7cicw11zzy1oozoowokccx8o033zy011x311 - HC0 loop

Code: Select all

x = 32, y = 41, rule = B3/S23
28b2o$28bo2bo3$12b2o14bob2o$12b2o9b2o2bobo$23bo4bo$27bo$20b2o2bo2bo$20b
2o$4bo$3bobo$4bo2$11b3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b2o$17b3o
$17bo2bo$18b3o2$27bo$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

SKOP464 (82 -> 78)

Code: Select all

x = 40, y = 40, rule = B3/S23
27b2o$27b2o2$12b2o20bo$12b2o$28bobobob3o$27b2o5b2obo$20b2o5bo6bob2o$20b
2o13b3obo$4bo24bo$3bobo22bobo6bo$4bo24bo2$11b3o$11bo2bo$12b3o$2o11bo$
2o8$30b2o$18bo11b2o$17b3o$17bo2bo$18b3o2$27bo$26bobo$27bo$10b2o$10b2o
3$18b2o$18b2o!

SKOP812 (116 -> 84)

Code: Select all

x = 39, y = 43, rule = B3/S23
27b2o5b2o$27b2o5b2o4$27b2o5b2o$12b2o12bo2bo3bo2bo$12b2o11bo3bo3bo3bo$
29b2ob2o$24bo5bobo5bo$20b2o3bo3bo3bo3bo$20b2o7bo3bo$4bo21bo9bo$3bobo20b
o2bo3bo2bo$4bo22b2o5b2o2$11b3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b
2o$17b3o$17bo2bo$18b3o2$27bo$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

SKOP1276 (108 -> 83)

Code: Select all

x = 35, y = 40, rule = B3/S23
32bo$31bobo$27bo3bobo$12b2o6bob2obobo2b2ob2o$12b2o6b2obobo3bo2bo$24b3o
3bobo$25b2o4bo$20b2o3b6o$20b2o5bo$4bo24b2o$3bobo24bo$4bo24bo$29b2o$11b
3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b2o$17b3o$17bo2bo$18b3o2$27bo
$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

More coming soon (if anyone wants to try 116x5, I was struggling with that one); in the meantime 1-cell reduction to SKOP356 (116 -> 115)

Code: Select all

x = 50, y = 33, rule = B3/S23
14bo8b2o14bo$14b3o6b2o12b3o$17bo18bo$16b2o18b2o$6bo$6b3o31bo$9bo29bob
o$8b2o30bo4$2b3o$40bob2o$b2o2bo21b2o11b2obo$6bo19bo2bo$2bo3bo2bo17bob
o$6bo2bo16bo2bo$3b2o2bo18bobo$b3ob2o19bo2bo$o2bobo8b2o11b2o$2obobo6bo
2bo$bob2o7b2o$bo$2o2$15bo30b2o$14bobo29bo$15bo31b3o$49bo$18b2o18b2o$19b
o18bo$16b3o12b2o6b3o$16bo14b2o8bo!

EDIT:
SKOP580 (116 -> (EDIT 2: (EDIT 3: 84))

Code: Select all

x = 38, y = 42, rule = B3/S23
30bo2bo$30bo$29bo5bo$29bo2$12b2o12b2o2bo6bo$12b2o10b2o3bobo4bo$30bo2b
3o$35b3o$20b2o2bo6bo2b4o$20b2o9bobo3bo$4bo21bo4b3o$3bobo24bob2o$4bo24b
o2b3o2$11b3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b2o$17b3o$17bo2bo$18b
3o2$27bo$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

EDIT 4: SKOP1160 (80 -> 76)

Code: Select all

x = 41, y = 45, rule = B3/S23
2o$2o4$12b2o$9bo2b2o$3bo4b3o$3b2o4b2o16b2o$3b3o4bo16b2o$2o2bo$2o$19b2o
$19b2o$36bo$12b2o21bobo$12b2o22bo2$27b3o$26bo2bo$26b3o$27bo11b2o$39b2o
8$9b2o$9b2o11bo$21b3o$20bo2bo$20b3o2$13bo$12bobo$13bo$29b2o$29b2o3$21b
2o$21b2o!

EDIT 5: SKOP1246 (123 -> 120 - is there a better solution?)

Code: Select all

x = 49, y = 33, rule = B3/S23
13bo8b2o14bo$13b3o6b2o12b3o$16bo18bo$15b2o18b2o$5bo$5b3o31bo$8bo29bob
o$7b2o30bo4$4bo$3bobo33bob2o$3bobo20b2o11b2obo$2obob2o18bo2bo$o2bo4bo
17bobo$2bob3o2bo15bo2bo$b2obo20bobo$2bo2bo19bo2bo$2bobobobo4b2o11b2o$
3b2obobobobobo$5bo2bob2o$5bobo$6bo2$14bo30b2o$13bobo29bo$14bo31b3o$48b
o$17b2o18b2o$18bo18bo$15b3o12b2o6b3o$15bo14b2o8bo!

[KtT]

EDIT:
SKOP580 (116 -> (EDIT 2: (EDIT 3: 84))

Code: Select all

x = 38, y = 42, rule = B3/S23
30bo2bo$30bo$29bo5bo$29bo2$12b2o12b2o2bo6bo$12b2o10b2o3bobo4bo$30bo2b
3o$35b3o$20b2o2bo6bo2b4o$20b2o9bobo3bo$4bo21bo4b3o$3bobo24bob2o$4bo24b
o2b3o2$11b3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b2o$17b3o$17bo2bo$18b
3o2$27bo$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

Reduced to 68 cells:

Code: Select all

x = 32, y = 37, rule = B3/S23
12b2o16b2o$12b2o12b3o2bo$29b2o$25bo$20b2o3bo$20b2o7b2o$4bo21b3o2bo$3b
obo24b2o$4bo2$11b3o$11bo2bo$12b3o$2o11bo$2o8$30b2o$18bo11b2o$17b3o$17b
o2bo$18b3o2$27bo$26bobo$27bo$10b2o$10b2o3$18b2o$18b2o!

[WhiteHawk]

I believe this p2204 oscillator is SKOP at 92 cells

Code: Select all

x = 47, y = 50, rule = B3/S23
30b2o$31bo$31bobo$32b2o4bo4$41bo2bo$36bo3bo3bo$36bo2bo4bo$37b3o$45bo$
24bo20b2o$24b2o19b2o$24b2o20bo$25bo$31b3o$26bo4bo2bo$13b2o11bo3bo3bo$
13b2o11bo2bo2$7bo$6bobo$7bo24bo4b2o$37bobo$39bo$39b2o2$31b2o$10b2o19b
2o$2o8bobo$2o8bob2o$11b2o3$24b2o$23b2obo8b2o$24bobo8b2o$4b2o19b2o$4b2o
5$29bo$28bobo$29bo2$22b2o$22b2o!

EDIT: Possibly the same for this 80-cell p2900 oscillator?

Code: Select all

x = 45, y = 40, rule = B3/S23
25bo$25b3o$28bo$27b2o2$31bo$31b2o$32b2o$13b2o14b2o$13b2o14b3o$38b3o$7b
o31b2o$6bobo27b2o$7bo29b2o$38bo2$41b2o$41bo$31b2o9b3o$10b2o19b2o11bo$
2o8bobo$2o8bob2o$11b2o3$24b2o$23b2obo8b2o$24bobo8b2o$4b2o19b2o$4b2o5$
29bo$28bobo$29bo2$22b2o$22b2o!