Oscillator Discussion Thread

[JP21]

I found a p13 billiard table partial. I looked for ways to stabilize it, but I found nothing.

Code: Select all

x = 21, y = 20, rule = B3/S23
b2o10b2obo$bo2b2o3b2o2bob2o$2b2obo2bo2bobo$3bobobobobob4o$2bo2bobobobo
5bob2o$2bobobobobob3o2bobo$b2obobobobo4bobobo$2bobobobobob2obobob2o$2b
obobobobo2bobobo$b2obobobobobo2bobo$o3bobobobobobobo$b3o2bo3bobobobobo
$4b3obobo2bobob2o$b2o4b2o2bobobo$o2b3o3b2o2bobo$b2o3b3o4bob2o$3bobo3b
4o$3bobob2o$4b2obo2bo$9b2o!

[AlbertArmStain]

I found a p13 billiard table partial. I looked for ways to stabilize it, but I found nothing.

Code: Select all

x = 21, y = 20, rule = B3/S23
b2o10b2obo$bo2b2o3b2o2bob2o$2b2obo2bo2bobo$3bobobobobob4o$2bo2bobobobo
5bob2o$2bobobobobob3o2bobo$b2obobobobo4bobobo$2bobobobobob2obobob2o$2b
obobobobo2bobobo$b2obobobobobo2bobo$o3bobobobobobobo$b3o2bo3bobobobobo
$4b3obobo2bobob2o$b2o4b2o2bobobo$o2b3o3b2o2bobo$b2o3b3o4bob2o$3bobo3b
4o$3bobob2o$4b2obo2bo$9b2o!

Stator reduction:

Code: Select all

x = 13, y = 12, rule = B3/S23
4b2ob2o$3bobobobo$3bobobobo$2obobobobob2o$2obobobobobo$3bobobobobo$2ob
obobobob2o$obo2bo3bo$3b3obobo$6bobo$3b2o2bo$3bob2o!

[b-engine]

Failed p2 spark hassler:

Code: Select all

x = 11, y = 11, rule = B3/S23
9bo$7b2o$9b2o$4bobobo$5bo$3b2o2$2bo$2o$2b2o$bo!

We need p2 dot sparkers for this.

[hotcrystal0]

Failed p2 spark hassler:

Code: Select all

x = 11, y = 11, rule = B3/S23
9bo$7b2o$9b2o$4bobobo$5bo$3b2o2$2bo$2o$2b2o$bo!

We need p2 dot sparkers for this.

You don't need those. Here:

Code: Select all

x = 18, y = 18, rule = B3/S23
11b2o$12bo$9b2obob2obo$12bobob2o$10bobo$12bo$14bo2$14b2o$3bo$bobo7bob
o$o4bo6bo$5o5b2o$5bo$2b2o3bobo$2bo4bo$3bo$2b2o!

Edit: Also(I would call these nigh-indistinguishable if shown separately):

Code: Select all

x = 49, y = 16, rule = B3/S23
8bo16bo16bo$6bobo14bobo14bobo$10bo16bo16bo$4b2o5bo9b2o5bo9b2o5bo$3bo6b
obo7bo6bobo7bo6bobo$2bobo7bo8bo7bo8bo7bo$14bo4bo11bo4bo$2o45b2o$14b2o
2b2o11b2o2b2o$bo45bo$3bo7bobo6bo7bobo6bo7bo$3bobo6bo7bobo6bo7bobo6bo$
4bo5b2o9bo5b2o9bo5b2o$5bo16bo16bo$7bobo14bobo14bobo$7bo16bo16bo!

[carsoncheng]

P16 B-heptomino hassler:

Code: Select all

x = 36, y = 36, rule = B3/S23
19b2o10b2o$19bo12bo$21bo8bo$17b5o2bo2bo2b5o$16bo7b4o7bo$16b7o6b7o$17b
o4b8o4bo$17bo3bo2bo2bo2bo3bo$18bo2bo8bo2bo$20bo10bo$20b2o8b2o$20bobo6b
obo$24b4o$21bob6obo$22b8o2$4b2o$3bob3o$3bobo2bo$2obobo$o2bobo3b3o13bo
$2b2obob2obo2bo10b4o$5b2o4bo2bo9bo3bo$6bo6b2o10bo2bo$3b2ob2o4b3o6b2o2b
3o$4bobo5b3o5b2ob2o$4bobo5b3o6bo2bo5b2o$3b2ob2o4b3o6bo2bo5bo$6bo6b2o7b
2o7b3o$5b2o4bo2bo18bo$2b2obob2obo2bo12b2o$o2bobo3b3o14bobo$2obobo22bo
$3bobo2bo19b2o$3bob3o$4b2o!

P20 HF hassler:

Code: Select all

x = 31, y = 31, rule = B3/S23
11b2o4bob2o4b2o$10bobo4b2obo4bobo$10bo16bo$7b2obo16bob2o$7b2obobob10obobob2o$
10bobo12bobo$10bobo12bobo$3b2o6bo3bo6bo3bo$3b2o13b2o2$b6o$o6bo10b2o$2o2b3o11b
2o$24b2o$4bo14b2o3b2o$4bo2bo11bo$4bo$2o2bo$bo2bo3bo2b2o$o3bo3bo2b2ob2o$2o2bo
9bo$4bo$4bo2bo$4bo$13b2o$2o2b3o6b2o$o6bo$b6o2$3b2o$3b2o!

[b-engine]

2 blocks can push a beehive away:

Code: Select all

x = 3, y = 10, rule = B3/S23
2o$2o2$bo$obo$obo$bo2$2o$2o!

[TYCF]

Probably known period-30 wick.

Code: Select all

x = 2954, y = 9, rule = B3/S23
4b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o$2bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4b
o17bo4bo$bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6b
o15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6b
o15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6b
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o15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6b
o15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6b
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o15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6b
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o$o8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o
3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo3b2o3b2o3bo8bo$o8bo4b2ob2o4bo8bo4b2o
b2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4b
o8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo
4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2o
b2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4b
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4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2o
b2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4b
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4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2o
b2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4b
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4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2o
b2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4b
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4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2o
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4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2o
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4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo4b2ob2o4bo8bo$o8bo3bo5bo3bo8bo
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5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo
3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo
8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo
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3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo8bo3bo5bo3bo
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o6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15b
o6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo15bo6bo$2b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17b
o4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo17bo4bo$4b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o21b2o
21b2o!
[[ ZOOM 10 AUTOSTART ]]

[hotcrystal0]

P16 B-heptomino hassler:

Code: Select all

x = 36, y = 36, rule = B3/S23
19b2o10b2o$19bo12bo$21bo8bo$17b5o2bo2bo2b5o$16bo7b4o7bo$16b7o6b7o$17b
o4b8o4bo$17bo3bo2bo2bo2bo3bo$18bo2bo8bo2bo$20bo10bo$20b2o8b2o$20bobo6b
obo$24b4o$21bob6obo$22b8o2$4b2o$3bob3o$3bobo2bo$2obobo$o2bobo3b3o13bo
$2b2obob2obo2bo10b4o$5b2o4bo2bo9bo3bo$6bo6b2o10bo2bo$3b2ob2o4b3o6b2o2b
3o$4bobo5b3o5b2ob2o$4bobo5b3o6bo2bo5b2o$3b2ob2o4b3o6bo2bo5bo$6bo6b2o7b
2o7b3o$5b2o4bo2bo18bo$2b2obob2obo2bo12b2o$o2bobo3b3o14bobo$2obobo22bo
$3bobo2bo19b2o$3bob3o$4b2o!

Reduced:

Code: Select all

x = 29, y = 29, rule = B3/S23
17b2o4b2o$17b2o4bobo$10b2o13bo$9bo2bo12bob2o$9b3o2b8obobob2o$12b2o9bo
bo$11bo11bobo$11b2obo5bo3bo$16b2o$3b2o$2bobo11bo$2bobob2o6b2ob2o$3bob
obo$5bo9bobobo$4bo2bo3bo7bo$4bo6bobo4b2o$4bo3bobo$2o2bo3bo2bobo7b2o$2o
2bo6bo3bo5bo$4bo8b3o6b3o$4bo2bo16bo$4bo12b2o$17bobo$2o2b3o12bo$o6bo11b
2o$b6o2$3b2o$3b2o!

[Period1GliderGun]

p156 B/R hassler:

Code: Select all

x = 53, y = 53, rule = B3/S23
34bobobobo$33bob2ob2obo$31b3o7b3o$30bo4b2ob2o4bo$30bo2b2obobob2o2bo$29b
2obobobobobobob2o$30bobobo5bobobo$5bo24bobo2bo3bo2bobo$3b5o23bo4b3o4b
o$2bo5bo$2bo2b3o13b2o$b2obo16bo$o3b3o11b2obo6b2o$bobo3bo7b2o3bo6bobo6b
3o$2ob3o2bo4bo14bo$8bo4bo21bo3bo$2ob3o2bo4bo4bo16bo3bo$bobo3bo7b2o$o3b
3o29bo3bo$b2obo35bo$2bo2b3o31bo$2bo5bo31b3o$3b5o34bo$5bo6b2o$12bobo$13b
o2$39bo$38bobo$39b2o6bo$10bo34b5o$10b3o31bo5bo$13bo17b3o11b3o2bo$12bo
20bo14bob2o$12bo3bo14bobo12b3o3bo$31b2o3b2o7bo3bobo$13bo3bo16bo4bo4bo
2b3ob2o$13bo3bo21bo4bo$24bo14bo4bo2b3ob2o$14b3o6bobo6bo3b2o7bo3bobo$23b
2o6bob2o11b3o3bo$31bo16bob2o$30b2o13b3o2bo$44bo5bo$9bo4b3o4bo23b5o$8b
obo2bo3bo2bobo24bo$8bobobo5bobobo$7b2obobobobobobob2o$8bo2b2obobob2o2b
o$8bo4b2ob2o4bo$9b3o7b3o$11bob2ob2obo$12bobobobo!

EDIT: p68 shuttle partial: either find a stable/p2/p4/p68 way to restore the blocks or find some crazy catalyst to replace them:

Code: Select all

x = 15, y = 27, rule = B3/S23
2bo$2b3o$5bo$4b2o4$7bo$6b3o$6bob2o$13b2o$13b2o4$2o$2o7$9b2o$9bo$10b3o
$12bo!

[TYCF]

...
EDIT: p68 shuttle partial: either find a stable/p2/p4/p68 way to restore the blocks or find some crazy catalyst to replace them:

Code: Select all

x = 15, y = 27, rule = B3/S23
2bo$2b3o$5bo$4b2o4$7bo$6b3o$6bob2o$13b2o$13b2o4$2o$2o7$9b2o$9bo$10b3o
$12bo!

The partial can be extended into a wick.

Code: Select all

x = 83, y = 37, rule = B3/S23
36bo26bo$36b3o22b3o$39bo20bo$38b2o20b2o2$19bo60bo$19b3o56b3o$22bo54bo
$21bo55b2o$21bo3bo$2bo22bo21b2o7bo$2b3o17bo3bo20b2o7bo$5bo15b2o2bo15b
o15bo$4b2o17bo16b3o8bo$24b2o13bo2b2o7bo$24b3o7b2o2b2o2b3o13b3o3b2o$24b
3o7b2o3bo3b2o13b3o3b2o9bo$17bo24b2o14b2o14b3o$5bo11bo39bo15b2obo$5bo17b
o31b2o2bo18bo$5bo2bobo2b2o7bo33bo3bo15bo2bob2o$8bo2bob2o7bo36bo13bo2b
obo2b2o$10bo44bo3bo13bo$5b2obo34b2o10bo17bo$6b3o34bo12bo$2o5bo36b3o6b
3o$2o44bo6bo2$26b2o44b2o$26bo46bo$27b3o40b3o$29bo40bo2$9b2o$9bo$10b3o
$12bo!

[AbhpzTa]

EDIT: p68 shuttle partial: either find a stable/p2/p4/p68 way to restore the blocks or find some crazy catalyst to replace them:

Code: Select all

x = 15, y = 27, rule = B3/S23
2bo$2b3o$5bo$4b2o4$7bo$6b3o$6bob2o$13b2o$13b2o4$2o$2o7$9b2o$9bo$10b3o
$12bo!

Stabilized:

Code: Select all

x = 101, y = 77, rule = B3/S23
11bo$11b3o$14bo$13b2o3$8b2o18b2o$3b2obo2bo18bo$3bob3o7bo10bobo$2obo11b
o10b2o$bob2ob2o8bo5b2o$o6bo9bo4b2o5bo$b2ob2o10b2o10bobo$2bobo23bobo$2b
obo22b2ob2o$3bo5b2o14bo6bo$9b2o14b2ob2obo$5b2o22bob2o$4bobo18b3obo$4bo
18bo2bob2o$3b2o18b2o3$18b2o$18bo$19b3o$21bo14$45bo26bo$45b3o22b3o$48bo
20bo$47b2o20b2o2$28bo60bo$28b3o56b3o$31bo54bo$30bo55b2o$30bo3bo$11bo
22bo21b2o7bo$11b3o17bo3bo20b2o7bo25b2o$14bo15b2o2bo15bo15bo24bo2bob2o$
13b2o17bo16b3o8bo32b3obo$33b2o13bo2b2o7bo36bob2o$33b3o7b2o2b2o2b3o13b
3o3b2o18b2ob2obo$8b2o23b3o7b2o3bo3b2o13b3o3b2o9bo8bo6bo$3b2obo2bo16bo
24b2o14b2o14b3o9b2ob2o$3bob3o6bo11bo39bo15b2obo10bobo$2obo10bo17bo31b
2o2bo18bo8bobo$bob2ob2o6bo2bobo2b2o7bo33bo3bo15bo2bob2o5bo$o6bo9bo2bob
2o7bo36bo13bo2bobo2b2o$b2ob2o13bo44bo3bo13bo11b2o$2bobo9b2obo34b2o10bo
17bo11bobo$2bobo10b3o34bo12bo30bo$3bo5b2o5bo36b3o6b3o31b2o$9b2o44bo6bo
$5b2o$4bobo28b2o44b2o$4bo30bo46bo$3b2o31b3o40b3o$38bo40bo2$18b2o$18bo$
19b3o$21bo!

[hotcrystal0]

p156 B/R hassler:

Code: Select all

x = 53, y = 53, rule = B3/S23
34bobobobo$33bob2ob2obo$31b3o7b3o$30bo4b2ob2o4bo$30bo2b2obobob2o2bo$29b
2obobobobobobob2o$30bobobo5bobobo$5bo24bobo2bo3bo2bobo$3b5o23bo4b3o4b
o$2bo5bo$2bo2b3o13b2o$b2obo16bo$o3b3o11b2obo6b2o$bobo3bo7b2o3bo6bobo6b
3o$2ob3o2bo4bo14bo$8bo4bo21bo3bo$2ob3o2bo4bo4bo16bo3bo$bobo3bo7b2o$o3b
3o29bo3bo$b2obo35bo$2bo2b3o31bo$2bo5bo31b3o$3b5o34bo$5bo6b2o$12bobo$13b
o2$39bo$38bobo$39b2o6bo$10bo34b5o$10b3o31bo5bo$13bo17b3o11b3o2bo$12bo
20bo14bob2o$12bo3bo14bobo12b3o3bo$31b2o3b2o7bo3bobo$13bo3bo16bo4bo4bo
2b3ob2o$13bo3bo21bo4bo$24bo14bo4bo2b3ob2o$14b3o6bobo6bo3b2o7bo3bobo$23b
2o6bob2o11b3o3bo$31bo16bob2o$30b2o13b3o2bo$44bo5bo$9bo4b3o4bo23b5o$8b
obo2bo3bo2bobo24bo$8bobobo5bobobo$7b2obobobobobobob2o$8bo2b2obobob2o2b
o$8bo4b2ob2o4bo$9b3o7b3o$11bob2ob2obo$12bobobobo!

Reduced using a clever placement of 44P12.3(that will make the oscillator look as if it was found using periodic CatForce):

Code: Select all

x = 47, y = 46, rule = B3/S23
11b2o$10bo2bo$9b2obo$9bo3bo25bo$7b2ob4o24b3o$6b2obo4b2obo18b2o3bo$5bo
3bob2obobobo17b3o2b2o$5bobobob2obo3bo22bobo$6bob2o4bob2o7b2o6b2o2b4ob
3o$10b4ob2o7bobo6b2obo4bo3bo$10bo3bo10bo6bobobob2obo3b2o$11bob2o16b2o
3bob2obobobo$10bo2bo18bo3bo4bob2o$11b2o20b3ob4o2b2o$34bobo$35b2o2b3o$
36bo3b2o$37b3o$38bo$9b2o$9bobo$10bo2$36bo$20bobo12bobo$20bobo13b2o$6b
o14bo$8bo$3bo4bo19b3o$2bo5b2o20bo$9bo18bobo4bo$6b4o18b2o6b2o$o4bo4b3o
18bo4b3o$5bob2obob3o18bo2b2o$b3obob2obo10bo7bo5bo4bo$3b3o4bo4bo4bobo10b
4o2b3o$6b4o10b2o8bobo4bob3o$6bo25bob2ob2o3bo$6b2o5bo13bo3b2ob2obo$7bo
4bo15b3obo4bobo$7bo20b3o2b4o$9bo19bo4bo5bo$32b2o2bo$31b3o4bo$32b2o$34b
o!

[carsoncheng]

Reduction of the p28 wing hassler shown on the wiki from 420 cells to 114 (first nontrivially reduced by me to 132 cells, and then sokwe noticed that the sparker could be replaced for a minpop of 114):

Code: Select all

x = 36, y = 32, rule = B3/S23
3b2o$3b2o2$b6o$o6bo$2o2b3o3bo$11b2o$4bo4b2o$4bo2bo3bo$4bo$2o2bo9b2o$2o
2bo3bo3bobo$4bo3bo3b2o17b2o$4bo26bobo$4bo2bo20b2obobo$5bo22bobobo$3bob
obo22bo$2bobob2o20bo2bo$2bobo26bo$3b2o17b2o3bo3bo$21bobo3bo3bo2b2o$20b
2o9bo2b2o$31bo$24bo3bo2bo$25b2o4bo$23b2o$25bo3b3o2b2o$28bo6bo$29b6o2$
31b2o$31b2o!

P70 HF hassler:

Code: Select all

x = 52, y = 55, rule = B3/S23
18b2o$14b2o2bo$13bo2bobo$9b2obo2bo2b2o$9bob2obobobo$14b3o3bo$10b4obob
3obo$9bo3bo3bo3bo$10b3o5b3o$12bob3obo$13b5o$14b3o9bo$24b3o$23bo$3b2o18b
2o12bo$4bo31bobo$4bobo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o32bobob2o
4b2o$3bo30bobo8bo$2b2o31bo7bobo$43b2o$32b3o$31bo3bo$17b3o10bo5bo$16bo
3bo9bo5bo$15bo5bo8bo5bo$15bo5bo9bo3bo$15bo5bo10b3o$16bo3bo$17b3o$7b2o
$6bobo7bo31b2o$6bo8bobo30bo$5b2o4b2obobo32b3o$10bobobobobo32bo$10bo4b
ob2o26b2o$11b3obo29bobo$13bobo31bo$14bo12b2o18b2o$28bo$25b3o$25bo9b3o
$34b5o$33bob3obo$31b3o5b3o$30bo3bo3bo3bo$30bob3obob4o$31bo3b3o$33bobo
bob2obo$32b2o2bo2bob2o$33bobo2bo$33bo2b2o$32b2o!

[Period1GliderGun]

P70 HF hassler:

Reduced because p5 pipsquirter exists:

Code: Select all

x = 52, y = 55, rule = B3/S23
12b2o3b2o$12b2o3b2o3$8b2o2b3ob3o2b2o$8bo2bo7bo2bo$9bobo7bobo$10bo4bo4b
o$11b3o3b3o$13bobobo$14b3o$26bo$24b3o$23bo$3b2o18b2o12bo$4bo31bobo$4b
obo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o16b2o14bobob2o4b2o$3bo15b2o
13bobo8bo$2b2o13bobo15bo7bobo$17b3o23b2o4$17b2o13b3o$16bo2bo12bo2bo$17b
3o13b2o4$7b2o23b3o$6bobo7bo15bobo13b2o$6bo8bobo13b2o15bo$5b2o4b2obobo
14b2o16b3o$10bobobobobo32bo$10bo4bob2o26b2o$11b3obo29bobo$13bobo31bo$
14bo12b2o18b2o$28bo$25b3o$25bo$35b3o$34bobobo$32b3o3b3o$31bo4bo4bo$30b
obo7bobo$29bo2bo7bo2bo$29b2o2b3ob3o2b2o3$33b2o3b2o$33b2o3b2o!

[HerscheltheHerschel]

P70 HF hassler:

Code: Select all

x = 52, y = 55, rule = B3/S23
18b2o$14b2o2bo$13bo2bobo$9b2obo2bo2b2o$9bob2obobobo$14b3o3bo$10b4obob
3obo$9bo3bo3bo3bo$10b3o5b3o$12bob3obo$13b5o$14b3o9bo$24b3o$23bo$3b2o18b
2o12bo$4bo31bobo$4bobo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o32bobob2o
4b2o$3bo30bobo8bo$2b2o31bo7bobo$43b2o$32b3o$31bo3bo$17b3o10bo5bo$16bo
3bo9bo5bo$15bo5bo8bo5bo$15bo5bo9bo3bo$15bo5bo10b3o$16bo3bo$17b3o$7b2o
$6bobo7bo31b2o$6bo8bobo30bo$5b2o4b2obobo32b3o$10bobobobobo32bo$10bo4b
ob2o26b2o$11b3obo29bobo$13bobo31bo$14bo12b2o18b2o$28bo$25b3o$25bo9b3o
$34b5o$33bob3obo$31b3o5b3o$30bo3bo3bo3bo$30bob3obob4o$31bo3b3o$33bobo
bob2obo$32b2o2bo2bob2o$33bobo2bo$33bo2b2o$32b2o!

I don't think this belongs on this thread, especially because my last 2 posts there got moved, but I noticed that if you remove a fishhook, it makes a beehive factory:

Code: Select all

x = 49, y = 55, rule = B3/S23
12b2o3b2o$12b2o3b2o3$8b2o2b3ob3o2b2o$8bo2bo7bo2bo$9bobo7bobo$10bo4bo4b
o$11b3o3b3o$13bobobo$14b3o$26bo$24b3o$23bo$3b2o18b2o12bo$4bo31bobo$4b
obo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o16b2o14bobob2o4b2o$3bo15b2o
13bobo8bo$2b2o13bobo15bo7bobo$17b3o23b2o4$17b2o13b3o$16bo2bo12bo2bo$17b
3o13b2o4$7b2o23b3o$6bobo7bo15bobo$6bo8bobo13b2o$5b2o4b2obobo14b2o$10b
obobobobo$10bo4bob2o26b2o$11b3obo29bobo$13bobo31bo$14bo12b2o18b2o$28b
o$25b3o$25bo$35b3o$34bobobo$32b3o3b3o$31bo4bo4bo$30bobo7bobo$29bo2bo7b
o2bo$29b2o2b3ob3o2b2o3$33b2o3b2o$33b2o3b2o!

[vivi]

P70 HF hassler:

Code: Select all

snip

I don't think this belongs on this thread, especially because my last 2 posts there got moved, but I noticed that if you remove a fishhook, it makes a beehive factory:

Code: Select all

snip the second

this can be used in LCM oscillators:

Code: Select all

x = 56, y = 55, rule = B3/S23
12b2o3b2o$12b2o3b2o3$8b2o2b3ob3o2b2o$8bo2bo7bo2bo$9bobo7bobo$10bo4bo4b
o$11b3o3b3o$13bobobo$14b3o$26bo$24b3o$23bo$3b2o18b2o12bo$4bo31bobo$4bo
bo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o16b2o14bobob2o4b2o$3bo15b2o
13bobo8bo$2b2o13bobo15bo7bobo$17b3o23b2o4$17b2o13b3o$16bo2bo12bo2bo$
17b3o13b2o19bo$54bo$53bobo$54bo$7b2o23b3o19bo$6bobo7bo15bobo19bo$6bo8b
obo13b2o21bo$5b2o4b2obobo14b2o20bobo$10bobobobobo35bo$10bo4bob2o26b2o
7bo$11b3obo29bobo$13bobo31bo$14bo12b2o18b2o$28bo$25b3o$25bo$35b3o$34bo
bobo$32b3o3b3o$31bo4bo4bo$30bobo7bobo$29bo2bo7bo2bo$29b2o2b3ob3o2b2o3$
33b2o3b2o$33b2o3b2o!

edit: a more interesting p560 feat. charity's p16

Code: Select all

x = 66, y = 55, rule = B3/S23
12b2o3b2o$12b2o3b2o3$8b2o2b3ob3o2b2o$8bo2bo7bo2bo$9bobo7bobo$10bo4bo4b
o$11b3o3b3o$13bobobo$14b3o$26bo$24b3o$23bo$3b2o18b2o12bo$4bo31bobo$4bo
bo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o16b2o14bobob2o4b2o$3bo15b2o
13bobo8bo$2b2o13bobo15bo7bobo$17b3o23b2o4$17b2o13b3o$16bo2bo12bo2bo$
17b3o13b2o20bo$54bobo6bo$55bo$61b3obo$7b2o23b3o18bo6bob2o$6bobo7bo15bo
bo18b2o5b2obo$6bo8bobo13b2o21bobobob3o$5b2o4b2obobo14b2o$10bobobobobo
41bo$10bo4bob2o26b2o$11b3obo29bobo5b2o$13bobo31bo5b2o$14bo12b2o18b2o$
28bo$25b3o$25bo$35b3o$34bobobo$32b3o3b3o$31bo4bo4bo$30bobo7bobo$29bo2b
o7bo2bo$29b2o2b3ob3o2b2o3$33b2o3b2o$33b2o3b2o!

[hotcrystal0]

P70 HF hassler:

Reduced because p5 pipsquirter exists:

Code: Select all

x = 52, y = 55, rule = B3/S23
12b2o3b2o$12b2o3b2o3$8b2o2b3ob3o2b2o$8bo2bo7bo2bo$9bobo7bobo$10bo4bo4b
o$11b3o3b3o$13bobobo$14b3o$26bo$24b3o$23bo$3b2o18b2o12bo$4bo31bobo$4b
obo29bob3o$5b2o26b2obo4bo$o32bobobobobo$3o16b2o14bobob2o4b2o$3bo15b2o
13bobo8bo$2b2o13bobo15bo7bobo$17b3o23b2o4$17b2o13b3o$16bo2bo12bo2bo$17b
3o13b2o4$7b2o23b3o$6bobo7bo15bobo13b2o$6bo8bobo13b2o15bo$5b2o4b2obobo
14b2o16b3o$10bobobobobo32bo$10bo4bob2o26b2o$11b3obo29bobo$13bobo31bo$
14bo12b2o18b2o$28bo$25b3o$25bo$35b3o$34bobobo$32b3o3b3o$31bo4bo4bo$30b
obo7bobo$29bo2bo7bo2bo$29b2o2b3ob3o2b2o3$33b2o3b2o$33b2o3b2o!

Reduced again:

Code: Select all

x = 40, y = 55, rule = B3/S23
6b2o3b2o$6b2o3b2o3$2b2o2b3ob3o2b2o$2bo2bo7bo2bo$3bobo7bobo$4bo4bo4bo$
5b3o3b3o$7bobobo$8b3o$20bo$18b3o$17bo$17b2o12bo$30bobo$2o28bob3o$2o25b
2obo4bo$27bobobobobo$13b2o14bobob2o$13b2o13bobo$11bobo15bo$11b3o$b2o$
b2o35b2o$38b2o$11b2o13b3o$10bo2bo12bo2bo$11b3o13b2o$2o$2o35b2o$37b2o$
26b3o$10bo15bobo$9bobo13b2o$5b2obobo14b2o$4bobobobobo$4bo4bob2o25b2o$
5b3obo28b2o$7bobo$8bo12b2o$22bo$19b3o$19bo$29b3o$28bobobo$26b3o3b3o$25b
o4bo4bo$24bobo7bobo$23bo2bo7bo2bo$23b2o2b3ob3o2b2o3$27b2o3b2o$27b2o3b
2o!

[AlbertArmStain]

Reduced again:

Code: Select all

x = 40, y = 55, rule = B3/S23
6b2o3b2o$6b2o3b2o3$2b2o2b3ob3o2b2o$2bo2bo7bo2bo$3bobo7bobo$4bo4bo4bo$
5b3o3b3o$7bobobo$8b3o$20bo$18b3o$17bo$17b2o12bo$30bobo$2o28bob3o$2o25b
2obo4bo$27bobobobobo$13b2o14bobob2o$13b2o13bobo$11bobo15bo$11b3o$b2o$
b2o35b2o$38b2o$11b2o13b3o$10bo2bo12bo2bo$11b3o13b2o$2o$2o35b2o$37b2o$
26b3o$10bo15bobo$9bobo13b2o$5b2obobo14b2o$4bobobobobo$4bo4bob2o25b2o$
5b3obo28b2o$7bobo$8bo12b2o$22bo$19b3o$19bo$29b3o$28bobobo$26b3o3b3o$25b
o4bo4bo$24bobo7bobo$23bo2bo7bo2bo$23b2o2b3ob3o2b2o3$27b2o3b2o$27b2o3b
2o!

Reduced once more using the 34P14 shuttle:

Code: Select all

x = 40, y = 55, rule = B3/S23
5b2o$2o2b2obo5b2o$2o3bobo5b2o$7bo$9bo2$9bo$7bo$2o3bobo5b2o$2o2b2obo5b
2o$5b2o$20bo$18b3o$17bo$17b2o12bo$30bobo$2o28bob3o$2o25b2obo4bo$27bob
obobobo$13b2o14bobob2o$13b2o13bobo$11bobo15bo$11b3o$b2o$b2o35b2o$38b2o
$11b2o13b3o$10bo2bo12bo2bo$11b3o13b2o$2o$2o35b2o$37b2o$26b3o$10bo15bo
bo$9bobo13b2o$5b2obobo14b2o$4bobobobobo$4bo4bob2o25b2o$5b3obo28b2o$7b
obo$8bo12b2o$22bo$19b3o$19bo$33b2o$25b2o5bob2o2b2o$25b2o5bobo3b2o$32b
o$30bo2$30bo$32bo$25b2o5bobo3b2o$25b2o5bob2o2b2o$33b2o!

P97 HF hassler found by Nico Brown:

Code: Select all

x = 41, y = 51, rule = B3/S23
7b2o$2b2o2bobo$2bo3bo$3b3ob4o$5bobo2bo5bo9b2o$b3obobo6b3o9bo$o2bob2o6b
o14bo$2o7bo3b2o9b5o$9bo14bo$9bo17b2o$20b2o5bobob2o$11b3o6b2o7b2obo$28b
o$4b2o3bo17bob3o$3bobo3bo17bobo2bo$3bo5bo18bo2b2o$2b2o2$11b2o$10b2obo$
12bo2$32bo$32bo$32bo2$8bo$8bo$8bo2$28bo$27bob2o$28b2o2$37b2o$8b2o2bo
18bo5bo$8bo2bobo17bo3bobo$9b3obo17bo3b2o$12bo$8bob2o7b2o6b3o$8b2obobo
5b2o$12b2o17bo$16bo14bo$12b5o9b2o3bo7b2o$12bo14bo6b2obo2bo$14bo9b3o6bo
bob3o$13b2o9bo5bo2bobo$30b4ob3o$34bo3bo$32bobo2b2o$32b2o!

EDIT:
p22 LoM hassler found by ljkiernan:

Code: Select all

x = 29, y = 18, rule = B3/S23
7b2o$7b2o$22bo$7b4o9b3o$6bo3bo8bo$6b2o11b2o3b2o$25bo$6b2o8b3o6bob2o$2b
2obobo6b2o2bo3b2obo2bo$o2bob2o7bo2b2o2bobob2o$2obo10b3o4b2o$3bo$3b2o3b
2o11b2o$9bo8bo3bo$6b3o9b4o$6bo$20b2o$20b2o!

[dbell]

Here is an oscillator based on my kickback climbing reaction.

Note: This glider stream is similar to but not the same as the one used in my recent spaceships and sawtooth.

Code: Select all

#C A period 1620 oscillator.
#C In the first half of its cycle, a glider stream grows
#C towards a pair of period 108 glider guns whose output
#C cancels each other.  In the second half of its cycle,
#C a glider is released which climbs upwards through the
#C glider stream using a long series of kickbacks until
#C it is deleted at the head of the stream.
#C Moving the glider guns at the lower right diagonally
#C outwards by 378 cells increases the period by 2916.
#C David I. Bell, 11 December 2023
x = 462, y = 463
15bo3boo17boo$14bobobobbo16bo$13boboob3obbo12bobo$13bo3bo3b3o3b6o3boo$
11booboobbobo5bo6bo60bo$12bobob3oboo3bo8bo57b3o$11bobboo10bo6bo57bo11b
oo17boo3bo$11b3obb3ob4o3b6o3boo45boo6boo11bo16bobbobobo$14boobbobobbo
12bobo44bobo18bobo4b4o4bobb3oboobo$13bobbo4bo16bo45bo20boo3b6o3b3o3bo
3bo$11bobbobob3o17boo69b8o5bobobbooboo$11b4o74boo17boo6boo3boob3o3bo$
14bobooboo68boo5boo11b8o11bobbo$11b5oboboo75boo7boo3b6o3b4ob3obb3o$11b
o4bo47boboobbooboo29bobo4b4o4bobbobobboo$12b3obobboo7b3o33boobo3bobobo
14bo13bo16bobbobobbo$14boo3boo5booboo31boo3bobobobobo3boo9boo11boo17b
oobobbobbo$26boo33bobboobbobobobboobboo8bobo34boboboo$25b4o31bobobobob
o4bobbo36boo7booboo$13boo9boobbo32boobbobob4oboo18boo16b3o7boobobb4o$
13boo8boo38bobobobbobo21bobo16bobo8b3o4bo$61booboob4o25bo17boo6boobbob
3o$36boo22bobo7bobo3bo19boo24boo3boo$4boo30bobo21bobobooboobobooboo$4b
obo31bo22bobobobobo$5bo20boo10boo23bo3bo60boo$27bo34boo3boo58bobbo$24b
3o60boo30bobo6boo$10boo12bo62bo17boo13boo6boo$9bobo52b3o6boo5bo4bobo
16bobo13bo6boo8boo$64bobo12b3o3boo9bobo5bo21boobo6bobo$3boo7bo51b3o11b
5o14boo4boo10boo9boobo7bo$bbobo59b3o10boo3boo13bo17bo12bo$bbo7boo52b3o
11b5o33b3o8boo$boo13boo46b3o12b3o36bo3bobo7b3o$16bo47bobo13bo41boo7bo
bbo$9boo6b3o44b3o56bo7b3o$9boo8bo118boo$138bobo$29bobo30boo3boo13boo
56bo$o9bo14bo4boo31bo3bo14bo42boo13boo$3o5b3o12b3o4bo29b3o5b3o12b3o40b
o$3bo3bo14bo37bo9bo14bo37b3o6boo$bboo3boo13boo99bo8boo$$4b3o72bobbo44b
o14bo9bo$3bo3bo11b3o56bo48b3o12b3o5b3o$bbo5bo9bo3bo55bo3bo47bo14bo3bo$
17bo5bo54b4o47boo13boo3boo$bo7bo6bo3bo3bo$bo7bo6bobbobo124b3o$16bo3bo
116bo3boobbo3bo$bbo5bo8bo8bo50boo17boo3bo42bo5bo$3bo3bo10bo3boboobo50b
o16bobbobobo32bo$4b3o12b3o5bo50boboo10boobb3oboobo30boobo5bo7bo$27boo
50bo3bo6bo3boo3bo3bo31boboo4bo7bo$bboo3boo75bo4bo6bobobbooboo$3bo3bo
45bo26bo3bo4bo3boboob3o3bo21boo10bobo3bo5bo$bobobobobo41bobo30bo4bo12b
obbo19bobo9bobo5bo3bo$obobooboobobooboo35boo25bo3bo6bo3b3ob3obb3o12boo
5bo11bobbo5b3o$obo7bobo3bo19boo40boboo10boobbobobboo15bobo3boo$booboob
4o25bo41bo16bobbobobbo14bo25boo3boo$3bobobobbobo21bobo40boo17boobobbo
bbo39bo3bo$boobbobob4oboo13boo3boo64boboboo37bobobobobo$obobobobo4bobb
o12boo65booboo35booboobobooboobobo$bobboobbobobobboobboo7bobo57bo7boob
obb4o9boo19bo3bobo7bobo$bboo3bobobobobo3boo8bo26bobo28boo9b3o4bo10bo8b
o16b4obooboo$4boobo3bobobo13bo27boo27bobbo6boobbob3o11bobo6bobo12bobo
bbobobo$4boboobbooboo42bo27b3o8boo3boo14boo6boo10boob4obobobboo$36boo
48bobbo46bobbo4bobobobobo$36boo49boo43boobboobbobobobboobbo$92bo9boo
28boo3bobobobobo3boo$93boo7boo18boo13bobobo3boboo$24bo67boo44booboobb
oobo$23bobo53boo34boo$23boo6boo45bobo21bo8boobboo3boo$31bo46bo22b3o6bo
bo7boo$32b3o42boo10boo9bobobo6bo11b3o$34bo54bo10bo3bo23bo$90b3o5boo5b
oo20bobo$92bo4bo4bo4bo12boo6boo$96boobboobobb3o12bo$98bob6obo10b3o$
105boo5boo4bo36bo$80bo24bo6bobo38b3o$78bobo33bo37bo11boo17boo3bo$79boo
18boo13boo28boo6boo11bo16bobbobobo$100bo43bobo18bobo12bobb3oboobo$97b
3o6boo37bo20boo3b6o3b3o3bo3bo$97bo8boo62bo6bo5bobobbooboo$169bo8bo3boo
b3obobo$157boo11bo6bo10boobbo$149boo6boo7boo3b6o3b4ob3obb3o$83bobo39bo
boobbooboo13boo14bobo12bobbobobboo$84boo39boobo3bobobo28bo16bo4bobbo$
84bo38boo3bobo3bobo3boo22boo17b3obobobbo$122bobbobobobooboboobboo47b4o
$121bobobo3bo7bo45booboobo$122boobbobobobooboo18boo20boo4boobob5o$124b
obobobbob3o19bobo19boo8bo4bo$122booboob3o4bo21bo16bo8boobbob3o$121bobo
7bobooboo6bo12boo14bobo7boo3boo$121bobobooboobobooboo6boo26booboo$122b
obobobobo12bobo26bobbo$124bo3bo43bobo14boo$123boo3boo42b3o14boo$97bo
50boo$98boo26bo7b3o11bo17boo$97boo27bo6bo3bo8bobo16bobo30boo$125bobo5b
ooboo8boo17bo31bobo$126bo5bo4bo26boo10boo20bo$107bo18bo5booboo39bo$
105bobo18bo5bo3bo40b3o7bo$106boo18bo6b3o43bo8boo$125bobo59boo6bo$126bo
37bo29boo$55bo3boo17boo46bo38boo32boo$54bobobobbo16bo85boo33bobo$53bob
oob3obbo12bobo44boo3boo13boo56bo$53bo3bo3b3o3b6o3boo46bo3bo14bo34bo7b
oo13boo$51booboobbobo5bo6bo36bobo8b3o5b3o12b3o29boo9bo$52bobob3oboo3bo
8bo36boo8bo9bo14bo30boo5b3o6boo$51bobboo10bo6bo37bo72bo8boo$51b3obb3ob
4o3b6o3boo$54boobbobobbo12bobo5bo103bo14bo9bo$53bobbo4bo16bo4b3o40b4o
58b3o12b3o5b3o$51bobbobob3o17boobboobo40bo3bo60bo14bo3bo$51b4o27b3o33b
3o5bo63boo13boo3boo$54bobooboo8bo13boo35bo6bobbo$51b5oboboo7boo49bo88b
o$51bo4bo10bo3bo135b3o$52b3obobboo6boo28boo8bo98booboo$54boo3boo36boo
6b3o64b3o30b3ob3o$104bo19bo47bo24boo6b3ob3o$89boo13boo19boo46bo22bobbo
5b3ob3o$53boo35bo33boo68boobbo6b3ob3o$53boo7bo27bobo94boo9bo7booboo$
61bo29boo93bobo8bo9b3o$61b3o12boo56bo51bo6bo14bo$44boo30bobo19boo32bob
o50boo6bobo$44bobo31bo19boo12bo20boo58boo10boo3boo$45bo20boo10boo32b3o
91bo3bo$67bo47bo88bobobobobo$64b3o26bo20boo10boo69booboobobooboobobo$
50boo12bo27bobo31bo49boo19booboobo7bobo$50boo40boo30bobo50bo21bo4b3ob
ooboo$124boo51bobo19b3obobbobobo$43boo66boo24bobo38boo18booboobobobobb
oo$42bobo56boo8bobo24boo57bo7bo3bobobo$42bo58boo8bo26bo54boobbooboboob
obobobbo$41boo13boo58boo75boo3bobo3bobo3boo$56bo58bobbo28bo50bobobo3bo
boo$49boo6b3o42boo3boo6bobbo29bo32bobboo13booboobboobo$49boo8bo40b3obo
bboo9bo27b3o27boo7bo$99bo4bo10b3o58boo$99b5oboboo$102bobooboo$73bo25b
4o86bo$71bobo25bobbobob3o17boo60bobo$43bo9bo14bo3boo27bobbo4bo16bo54b
oo6boo$43b3o5b3o12b3o33boobbobobbo12bobo24bo30bo$46bo3bo14bo33b3obb3ob
5obo6bob3o26boo25b3o$45boo3boo13boo32bobboo8b3o6b3o27boo26bo$100bobob
3oboobb3o6b3o$47b3o49booboobbobo3b3o6b3o$46bo3bobboo3bo42bo3bo3b4obo6b
ob3o35bo$45bo5bo49boboob3obbo12bobo32bobo$60bo41bobobobbo16bo33boo$44b
o7bo5boboo41bo3boo17boo$44bo7bo4boobo31boo$91boo$45bo5bo3bobo10boo23bo
8bo8boo$46bo3bo5bobo9bobo31b3o6boo$47b3o5bobbo11bo5boo27bo$70boo3bobo
26boo13boo43bobo$45boo3boo25bo41bo45boo$46bo3bo57boo7bobo45bo$44bobobo
bobo56boo6boo$43bobobooboobobooboo48bo3boo60bo$43bobo7bobo3bo19boo31b
oo61bo$44booboob4o16bo8bo17bo75b3o$46bobobobbobo12bobo6bobo15b3o$44boo
bbobob4oboo10boo6boo15bo$43bobobobobo4bobbo22boo10boo20bo$44bobboobbob
obobboobboo19bo31bobo$45boo3bobobobobo3boo19bobo4bo25boo$47boobo3bobob
o13boo10boo3bo60bo$47boboobbooboo30boobbobboo53b3o25bo$79boo6b3obobob
3o9boo8bo3boo17boo11bo25boo$74boo3boo7boobbobboo10boo7bobobobbo16bo11b
oo6boo16boo$74boo13bo5bo19boboob3obbo12bobo18bobo$70b3o17b5o20bo3bo3b
3o12boo20bo$67bo23b3o7boo3boo5booboobbobo5boo4boo52bo$66bobo23bo8boobb
ob3o4bobob3oboo4b3obb3o18boo30bobo$66boo6boo29bo4bobbo3bo10boo4boo11b
oo5boo31boo$74bo26boobob5obb3obb3ob4o12boo7boo$75b3o23booboobo8boobbob
obbo12bobo12bo16booboobboobo$77bo29b4o4bobbobobbo16bo11boo15bobobo3bob
oo$82boo17b3obobobbobbobbob5o17boo10bobo9boo3bobobobobo3boo$83bo16bo4b
obbo4b3obbo12bo32boobboob4obob3obbo$83bobo12bobbobobboo8bobooboo6b4o
35bobbo4bobobobobo$84b3obo6bob5ob3obb3obb3obo4bo5boo3bo15boo18booboboo
bobobboo7bobo$86b3o6b3o8boobbobbo4bo8bo3boo15bobo20boo4bobobo10boo$86b
3o6b3obboob3obobo4b3obo3bo5b4o16bo25boboobooboo8bo$86b3o6b3o3bobobboob
oo5boo3boo6bo17boo19booboobo7bobo$84b3obo6bob4o3bo3bo59booboobobooboob
obo16bo$83bobo12bobb3oboobo66bobobobobo18bo$83bo16bobbobobo7boo60bo3bo
18b3o$82boo17boo3bo8boo59boo3boo$156boo6bo12b5o$122bobo13boo17bo5b3o
12b3o$106boo14boo14bobo16bobo3b4o10b5o$106bobo5b3o6bo16bo17boo7bo$107b
o6bobo11boo10boo3bobo16bobboo$111boboobbo11bo15boo16bobob3o35bo$109boo
bo13b3o17bo17bobboo37boo$109booboo12bo34bo5bo37boo$121bobo38b5o$110boo
boo7boo39b3o11b5o$105boo3booboo7bo41bo13b3o34bo$104bobo5bo64b5o31bobo$
104bo56boo13boo3boo31boo$103boo13boo42bo14bo3bo$118bo40b3o12b3o5b3o$
111boo6b3o37bo14bo9bo$111boo8bo$$92bo9bo14bo46bobbo$92b3o5b3o12b3o50bo
$95bo3bo14bo49bo3bo$94boo3boo13boo49b4o$$97bo$96bobo$107bobbo$96b3o11b
o$107bo3bo$109boo$96b3o10boo$117boo23bo9bo14bo$96bobo6boo10bobo6boo14b
3o5b3o12b3o$97bo7boo12bo5bobo17bo3bo14bo$119boo6bo16boo3boo13boo$94boo
3boo$95bo3bo$93bobobobobo44b3o$92bobobooboobobooboo37bobo13bo$92bobo7b
obooboo19boo16b3o12b3o$93boobooboobo25bo17b3o11b5o$95bobobo4boo14bo5bo
bo17b3o10boo3boo13bo$93boobbobobooboboo10bobo5boo18b3o11b5o14boo$92bob
obobobo4bobbo10boo25bobo12b3o3boo9bobo$93bobb3obob4oboobboo33b3o6boo5b
o4bobo$94boo3bobobobobo3boo56bo$96boobo3bobobo61boo$96boboobbooboo37b
oo3boo$128boo15bo3bo$120boboo4boo13bobobobobo$142bobobooboobobooboo$
120bobbo18bobo7bobo3bo19boo$116bo4boo20booboob4o25bo$115bobo27bobobobb
obo21bobo$115boo6boo18boobbobob4oboo18boo$123bo18bobobobobo4bobbo$124b
3o16bobboobbobobobboobboo8bobo$126bo17boo3bobobobobo3boo9boo$146boobo
3bobobo14bo$146boboobbooboo$178boo$171boo5boo$171boo$$166bo$165bobo$
165boo6boo$173bo$174b3o$176bo146$436bo14bo9bo$384bo9bo14bo26b3o12b3o5b
3o$384b3o5b3o12b3o29bo14bo3bo$387bo3bo14bo31boo13boo3boo$386boo3boo13b
oo40boo$447b3o6bo$389bo60bo5bo$388bobo55b5o4bobo$446b4o6bo$388b3o6bo
48boboo6bo$395booboo46boboo6bo$395booboo44boo3bo6bo$388b3o44boo7bo3bo
6bobo$396booboo8boo23bobo19bo$388bobo5booboo8bobo22bo10b5o6bo$389bo8bo
12bo21boo10booboo$411boo40boo3boo$386boo3boo61bo3bo$387bo3bo15bo44bobo
bobobo$385bobobobobo14bo36booboobobooboobobo$384bobobooboobobooboo5b3o
15boo9bo9booboobo7bobo$384bobo7bobooboo19boo3bo9bobo9bo4b3obooboo$385b
oobooboobo25bo4bobo7boo10b3obobbobobo$387bobobo4boo20bobo5boo18booboob
obobobboo$385boobbobobooboboo18boo25bo7bo3bobobo$384bobobobobo4bobbo
40boobbooboboobobobobbo$385bobb3obob4oboobboo36boo3bobo3bobo3boo$386b
oo3bobobobobo3boo41bobobo3boboo$388boobo3bobobo32boo13booboobboobo$
388boboobbooboo13boo10boo6boo$412boo6boobboo$420boo$$437bo$408bo27bobo
$407bobo19boo6boo$407boo6boo13bo$415bo11b3o$416b3o8bo$418bo!

There may be other periods possible if the phase of the the lower right glider guns is changed while they are moved, but I haven't tried to do this.

Finally, the minimum spacing of a kickback enabling glider stream is shown here.

Code: Select all

#C The smallest glider stream enabling a series of kickbacks.
x = 85, y = 80
bo$bbo$3o$7bo$8boo$7boo5$11bo$9bobo$10boo$16bobo$17boo$17bo4$20bo$21bo
$19b3o$26bo$27boo$26boo5$30bo$28bobo$29boo$35bobo$36boo$36bo4$39bo$40b
o$38b3o$45bo$46boo$45boo5$49bo$47bobo$48boo$54bobo$55boo$55bo4$58bo$
59bo$57b3o$64bo$65boo$64boo5$68bo$66bobo$67boo$73bobo$74boo$74bo4$77bo
$78bo3boo$76b3o3bobo$82bo!

I tried to use this stream, but I didn't manage to find the glider insertions necessary to build it. Someone else can try if they want.

BCNU,
-dbell

[amling]

An LLSSS search with raw rule string "xx!!xxxxx/xxxoxxxxx" and arbitrary width for a nonzero period 7 oscillator terminates almost instantly with no results (a few seconds, like 3 rows in). Barring bugs this rules out any finite* period 7 phoenix oscillator (which the wiki's "Phoenix" article suggests to me is a new result).

A similar search for period 2 dumps out endless p2 phoenix oscillators and seemingly nothing else which is a decent sign I have set up the search correctly.

A similar search for period 9 also terminates with no results, taking maybe about a minute. A similar search for period 11 takes up more than 8 GB RAM and so will have to wait its turn behind some other search projects.

Unfortunately I'm not sure I can do anything about even periods. From LLSSS's point of view a p2 phoenix oscillator is a valid p4, p6, p8, etc. phoenix oscillator and so any such search immediately finds endless p2 results.

* It's actually slightly stronger than ruling out finite p7 phoenixes. It also rules out infinite "almost halfplane" patterns, which is to say a pattern that can be contained in a half plane and is finite in each cross-section parallel to the half plane boundary.

[hotcrystal0]

An LLSSS search with raw rule string "xx!!xxxxx/xxxoxxxxx" and arbitrary width for a nonzero period 7 oscillator terminates almost instantly with no results (a few seconds, like 3 rows in). Barring bugs this rules out any finite* period 7 phoenix oscillator (which the wiki's "Phoenix" article suggests to me is a new result).

A similar search for period 2 dumps out endless p2 phoenix oscillators and seemingly nothing else which is a decent sign I have set up the search correctly.

A similar search for period 9 also terminates with no results, taking maybe about a minute. A similar search for period 11 takes up more than 8 GB RAM and so will have to wait its turn behind some other search projects.

Unfortunately I'm not sure I can do anything about even periods. From LLSSS's point of view a p2 phoenix oscillator is a valid p4, p6, p8, etc. phoenix oscillator and so any such search immediately finds endless p2 results.

* It's actually slightly stronger than ruling out finite p7 phoenixes. It also rules out infinite "almost halfplane" patterns, which is to say a pattern that can be contained in a half plane and is finite in each cross-section parallel to the half plane boundary.

Is there any way to ignore subperiod solutions like JLS, WLS, and (likely)LLS can?

[amling]

Unfortunately I'm not sure I can do anything about even period (phoenix oscillators). From LLSSS's point of view a p2 phoenix oscillator is a valid p4, p6, p8, etc. phoenix oscillator and so any such search immediately finds endless p2 results.

Is there any way to ignore subperiod solutions like JLS, WLS, and (likely)LLS can?

"No" is the short version for sure. It's hard to explain without getting into the weeds of LLSSS implementation details, but LLSSS doesn't really have a reified/global view of partials, instead just keeping a set of strips that it thinks are still useful for some partial (without explicitly keeping all combinations). A strict-p2 strip could still be relevant for a partial that has a non-p2 part far, far away from it when assembled.

Some time back I had looked harder at p4 specifically, using the constraint feature to force a single cell to be ON-OFF-OFF-OFF, but as such a cell could be somewhere in the middle of the pattern it means I had to do something weird like start the search with half-period wildcards (and then go back and solve the other side if any results show up). When I did some exploratory searches like this the partials got rather long, but were always much, much (proportionally) wider than they were long. This makes me suspect the situation might be something awful like "almost halfplane" p4 phoenixes do exist, but no finite p4 phoenixes do. Either way, I was unable to produce a negative or positive result within the 60G of memory I allotted.

EDIT: Here is a longest partial from one such search:

Code: Select all

| .................................... | ...*..*.*...*......*.........**..*.. |
| ..**...*...**.....**.........*..**.. | .................................... |
| ...........................*........ | ..**....*..**.....**......*.*...**.. |
| ...*....**..*.....ox.....*.*....*... | ..........................*......... |
| ..............*.x....o.*......*..... | ....*...**...*.*.oxox.*.*....*.*.... |
| ....**...*....*.oxoxox.*....*.*..... | ...............*......*......*...... |
| ...........*..............*......... | ....**....*.*....*ox*....*.*........ |
| .....*.....*.*...*xo*...*.*......... | ............*............*.......... |
| .......*......................*..... | ......*.*.....*.oxxoox.*.....*...... |
| .......*.*....**.oxox.**....*.*..... | ........*....................*.*.... |
| ................................*... | ..........*..ox*..**..*ox..*........ |
| ..........**.o*..xoxo..*x.**........ | ................................**.. |
| ................................**.. | .........xo*x.*.xooxxo.*.o*xo....... |
| ......o.xxox.x.*.*ox*.o.*xo.*o...... | .......o.........................*.. |

I've collapsed the four generations over into two and marked the disagreements with "x" and "o". You can see the first two rows are some p2 phoenix it has guessed/made-up to start with and then there is a middle p4 section that the fans out quickly as it proceeds downward. This sort of partial (with the wild fan out) does not to me seem particularly healthy, but of course this is nothing more objective than a gut feeling.

EDIT: I slipped p11 in to the schedule and 10 minutes and 23 GB later it finished with no results. p13 will take more than 60G if I can even run it at all so it might have to really wait...

[dbell]

I made my new oscillator smaller by replacing the LWSS and glider gun which deleted the forward glider by a period 4 oscillator.

Code: Select all

#C A period 1620 oscillator.
#C In the first half of its cycle, a glider stream grows
#C towards a pair of period 108 glider guns whose output
#C cancels each other.  In the second half of its cycle,
#C a glider is created which climbs upwards through the
#C glider stream using a long series of kickbacks until
#C it is deleted at the head of the stream.
#C Moving the glider guns at the lower right diagonally
#C outwards by 378 cells increases the period by 2916.
#C This is a slightly smaller version of the oscillator.
#C David I. Bell, 11 December 2023
x = 384, y = 385
15bo3boo17boo$14bobobobbo16bo$13boboob3obbo12bobo$13bo3bo3b3o12boo$11b
ooboobbobo5bobobbobo60bo$12bobob3oboo3bobbobbobbo57b3o$11bobboo10bobo
bbobo57bo11boo17boo3bo$11b3obb3ob4o12boo45boo6boo11bo16bobbobobo$14boo
bbobobbo12bobo44bobo18bobo12bobb3oboobo$13bobbo4bo16bo45bo20boo12b3o3b
o3bo$11bobbobob3o17boo70bo4bo6bobobbooboo$11b4o74boo17boob4oboo3boob3o
3bo$14bobooboo70bo4boo12bo4bo12bobbo$11b5oboboo6bobo59boo5boo7boo12b4o
b3obb3o$11bo4bo10boboo33boboobbooboo15bobo11bobo12bobbobobboo$12b3obo
bboo6bo36boobo3bobobo16boo10bo16bobbobobbo$14boo3boo10boo29boo3bobobob
obo3boo10bo11boo17boobobbobbo$61bobboobbobobobboobboo31b3o11boboboo$
60bobobobobo4bobbo34boboboo5booboo$13boo46boobbobob4oboo18boo15bo3bobo
4boobobb4o$13boo7bobo38bobobobbobo21bobo14bobo3bo6b3o4bo$22boo37booboo
b4o25bo15boobobo4boobbob3o$23bo12boo22bobo7bobo3bo19boo16b3o5boo3boo$
4boo30bobo21bobobooboobobooboo$4bobo31bo22bobobobobo$5bo20boo10boo23bo
3bo60boo$27bo34boo3boo11bo47boo$24b3o52boo6boo$10boo12bo53bobbo5bo17b
oo14bo$10boo52b3o11bo6bobo16bobo15boo5bo7boo$64b3o9boobboo3boo17bo16b
oo4boo7bobo$3boo60bo9bo4boo16bo4boo10boo10boo3boo3bo$bbobo69b3obbobo
17boo14bo12b7o$bbo72bo4boo16boo16b3o10bo5bo$boo13boo47bo10boo3bo36bo
11boobb3o$16bo47b3o11bobb3o38bo7bo4bo$9boo6b3o44b3o11bobobo37boo7b3ob
3o$9boo8bo59b3o39boo7bo3bo3boo$80b3o48b3o4bobo$62boo3boo13boo48bo7bo$o
9bo14bo5bo31bo3bo14bo42boo13boo$3o5b3o12b3o6boo26b3o5b3o12b3o40bo$3bo
3bo14bo8boo27bo9bo14bo37b3o6boo$bboo3boo13boo99bo8boo$$127bo14bo9bo$4b
3o11boo55b4o48b3o12b3o5b3o$4bobo14bo53bo3bo50bo14bo3bo$4b3o9bo5bo52bo
53boo13boo3boo$4b3o8bo60bobbo$4b3o9bobboobbo$4b3o8bo6bo123b3o$4bobo9b
3o6boo50boo17boo3bo44bobo$4b3o10bo7bobo50bo16bobbobobo30boo11b3o$27bo
50bobo4b4o4bobb3oboobo28booboo9b3o$18b3o6boo50boo3b6o3b3o3bo3bo29bobbo
9b3o$bboo3boo11bo62b8o5bobobbooboo28b3o9b3o$3bo3bo74boo6boo3boob3o3bo
21boo18bobo$bobobobobo44bo28b8o11bobbo10b3o6bobo10boo6b3o$obobooboobob
ooboo38bo23boo3b6o3b4ob3obb3o10bo8bo12boo$obo7bobo3bo19boo15b3o22bobo
4b4o4bobbobobboo14bo6boo$booboob4o25bo41bo16bobbobobbo40boo3boo$3bobob
obbobo15b3o3bobo40boo17boobobbobbo39bo3bo$boobbobob4oboo11bo3bobboo64b
oboboo37bobobobobo$obobobobo4bobbo9bo5bo54boo7booboo35booboobobooboobo
bo$bobboobbobobobboobboo5bo5bo53b3o7boobobb4o9boo19bo3bobo7bobo$bboo3b
obobobobo3boo5bo5bo54bobo8b3o4bo10bo25b4obooboo$4boobo3bobobo11bo3bo
26bo29boo6boobbob3o11bobo5bo15bobobbobobo$4boboobbooboo13b3o28boo35boo
3boo14boo4bo13boob4obobobboo$36boo20boo63b3o10bobbo4bobobobobo$36boo
94boobboobbobobobboobbo$102boo28boo3bobobobobo3boo$101bobbo32bobobo3bo
boo$24bo68bobo6boo34booboobboobo$23bobo53boo13boo6boo11boo$23boo6boo
45bobo13bo6boo8boobboo5bo$31bo46bo21boobo6bobo8bobo$32b3o42boo10boo9b
oobo7bo12bo$34bo54bo12bo25bo$90b3o8boo17bobbo3bobo$92bo3bobo7b3o11bo7b
oo$96boo7bobbo12bo$97bo7b3o10b3o$112boo4bo36bo$112bobo38b3o$81bo32bo
37bo11boo17boo3bo$82bo16boo13boo28boo6boo11bo16bobbobobo$80b3o17bo43bo
bo18bobo12bobb3oboobo$97b3o6boo37bo20boo12b3o3bo3bo$97bo8boo62bobobbob
o5bobobbooboo$169bobbobbobbo3boob3obobo$157boo11bobobbobo10boobbo$149b
oo6boo7boo12b4ob3obb3o$125boboobbooboo13boo14bobo12bobbobobboo$85bo39b
oobo3bobobo28bo16bo4bobbo$86boo35boo3bobo3bobo3boo22boo17b3obobobbo$
85boo35bobbobobobooboboobboo47b4o$121bobobo3bo7bo45booboobo$122boobbob
obobooboo18boo19boo5boobob5o$124bobobobbob3o19bobo17bobbo8bo4bo$122boo
boob3o4bo9boo10bo19bo5boobbob3o$121bobo7bobooboo8boo9boo24boo3boo$121b
obobooboobobooboo7bo$122bobobobobo42b3o$124bo3bo6bo37b3o13boo$123bobbo
bbo4b3o35bo3bo12boo$123bo5bo4b3o11boo22boboo$148bo17boo5b3o$98bobo23bo
3bo6bo10bobo16bobo30boo$99boo24b3o5bob4o7boo17bo31bobo$99bo33bobb3o25b
oo10boo20bo$132b3obo39bo$108bo23bobo42b3o$109bo22bo46bo$107b3o15b3o4b
4o52bobo3boo$124bo3bo4b3o53boo3boo$55bo3boo17boo54bo54bo9boo$54bobobo
bbo16bo44bo5bo35bobo31bobo$53boboob3obbo12bobo44bobbobbo13boo21boo33bo
$53bo3bo3b3o12boo46bo3bo14bo22bo19boo13boo$51booboobbobo5bobobbobo47b
3o5b3o12b3o40bo$52bobob3oboo3bobbobbobbo9bo27bo8bo9bo14bo28bobo6b3o6b
oo$51bobboo10bobobbobo9b3o27boo60boo7bo8boo$51b3obb3ob4o12boo5boboo25b
oo62bo$54boobbobobbo12bobo5b3o37bobbo60bo14bo9bo$53bobbo4bo16bo5boo34b
oobo64b3o12b3o5b3o$51bobbobob3o17boo39bob3o3bo63bo14bo3bo$51b4o14boo
50b6o63boo13boo3boo$54bobooboo5booboo$51b5oboboo5boo3bo136bo$51bo4bo8b
o3boo100boo35bo$52b3obobboo5booboo26boo8bo63bobo33bobo$54boo3boo5boo
29boo6b3o63bo26bo9bo$104bo93b3o7bo$89boo13boo93boo7bo$53boo35bo34bobo
70bo9bo$53boo35bobo33boo59boo10bo7bobo$91boo33bo59bobo10bo8bo$60bo15b
oo108bo21bo$44boo14bobo13bobo19boo35bo49boo5bo$44bobo13boo16bo19boo12b
o23bo54bo13boo3boo$45bo20boo10boo32b3o19b3o54b3o12bo3bo$67bo47bo88bobo
bobobo$64b3o26bo20boo10boo69booboobobooboobobo$50boo12bo27bobo31bo49b
oo19booboobo7bobo$50boo40boo30bobo50bo21bo4b3obooboo$109b3o12boo51bobo
19b3obobbobobo$43boo64bo68boo18booboobobobobboo$42bobo56boo7bo16boo68b
o7bo3bobobo$42bo58boo24bo65boobbooboboobobobobbo$41boo13boo70b7o58boo
3bobo3bobo3boo$56bo68b3obb4obo62bobobo3boboo$49boo6b3o42boo3boo16bobbo
bboo51boo13booboobboobo$49boo8bo40b3obobboo6boo9boo6bobo39boo6boo$99bo
4bo10bo3bo15boo39boo$99b5oboboo7boo18bo$102bobooboo8bo16bobobboo$99b4o
27booboobbobbo48bo$74bo24bobbobob3o17boobbob4obobo48bobo$43bo9bo14bo6b
o25bobbo4bo16bo5bobbobbo42boo6boo$43b3o5b3o12b3o4b3o26boobbobobbo12bob
o5boboboo44bo$46bo3bo14bo33b3obb3ob4o3b6o3boo4bobobobo42b3o$45boo3boo
13boo32bobboo10bo6bo7boboboobbo41bo$100bobob3oboo3bo8bo6bobo4boo$99boo
boobbobo5bo6bo8boo$47b3o51bo3bo3b3o3b6o3boo$47bobo51boboob3obbo12bobo$
47b3o11boo28bo10bobobobbo16bo$47b3o9booboo26boo11bo3boo17boo$47b3o9bo
bbo27bobo$47b3o9b3o$47bobo18boo32bo8boo$47b3o6boo10bobo6b3o22b3o6boo$
56boo12bo8bo25bo$70boo6bo25boo13boo$45boo3boo58boo7bo$46bo3bo66bobo$
44bobobobobo56bo7boo$43bobobooboobobooboo$43bobo7bobo3bo19boo29bobo$
44booboob4o25bo17bo12boo$46bobobobbobo15bo5bobo15b3o$44boobbobob4oboo
13bo4boo15bo$43bobobobobo4bobbo10b3o9boo10boo20bo$44bobboobbobobobboo
bboo19bo31bobo$45boo3bobobobobo3boo19bobo30boo$47boobo3bobobo25boo$47b
oboobbooboo$79boo16boo8boo$73bo5boo12bobboo9boo$72bobo18b4o$71bo22boo$
67bo23booboo5boo3boo$66bobo3bobbo15b3o7boobbob3o$66boo7bo29bo4bo$74bo
26boobob5o$75b3o23booboobo$77bo29b4o$82boo17b3obobobbo$83bo16bo4bobbo$
83bobo12bobbobobboo$84boo3b6o3b4ob3obb3o$88bo6bo10boobbo$87bo8bo3boob
3obobo$88bo6bo5bobobbooboo$84boo3b6o3b3o3bo3bo$83bobo12bobb3oboobo$83b
o16bobbobobo$82boo17boo3bo137$358bo14bo9bo$306bo9bo14bo26b3o12b3o5b3o$
306b3o5b3o12b3o29bo14bo3bo$309bo3bo14bo31boo13boo3boo$308boo3boo13boo$
378bo$311bo58bo6b3o$310bobo56bobo4booboo$309bo3bo54booboobb3ob3o$309bo
3bo6bo48bobo3b3ob3o$309bo3bo54bo3bobb3ob3o$309bo3bo4boo47b6obb3ob3o$
309bo3bo5bobo35boo8bo3bo4booboo$309bo3bo6boo9boo23bobo9bobo6b3o$310bob
o18bobo22bo10booboo6bo$311bo21bo21boo11bobo$333boo34bo5boo3boo$308boo
3boo13bo47bo3bo$309bo3bo12bobo30bo14bobobobobo$307bobobobobo11boo29bo
8booboobobooboobobo$306bobobooboobobooboo23boo10b3o6booboobo7bobo$306b
obo7bobooboo19boo3bo21bo4b3obooboo$307boobooboobo25bo4bobo19b3obobbobo
bo$309bobobo4boo20bobo5boo18booboobobobobboo$307boobbobobooboboo18boo
25bo7bo3bobobo$306bobobobobo4bobbo40boobbooboboobobobobbo$307bobb3obob
4oboobboo36boo3bobo3bobo3boo$308boo3bobobobobo3boo41bobobo3boboo$310b
oobo3bobobo32boo13booboobboobo$310boboobbooboo13boo10boo6boo$334boo6b
oobboo$342boo$$359bo$330bo27bobo$329bobo19boo6boo$329boo6boo13bo$337bo
11b3o$338b3o8bo$340bo!

BCNU,
-dbell

[hotcrystal0]

I made my new oscillator smaller by replacing the LWSS and glider gun which deleted the forward glider by a period 4 oscillator.

Code: Select all

#C A period 1620 oscillator.
#C In the first half of its cycle, a glider stream grows
#C towards a pair of period 108 glider guns whose output
#C cancels each other.  In the second half of its cycle,
#C a glider is created which climbs upwards through the
#C glider stream using a long series of kickbacks until
#C it is deleted at the head of the stream.
#C Moving the glider guns at the lower right diagonally
#C outwards by 378 cells increases the period by 2916.
#C This is a slightly smaller version of the oscillator.
#C David I. Bell, 11 December 2023
rle

BCNU,
-dbell

Reduced again by using a smaller P4:

Code: Select all

x = 384, y = 385, rule = B3/S23
15bo3b2o17b2o$14bobobo2bo16bo$13bob2ob3o2bo12bobo$13bo3bo3b3o12b2o$11b
2ob2o2bobo5bobo2bobo60bo$12bobob3ob2o3bo2bo2bo2bo57b3o$11bo2b2o10bobo
2bobo57bo11b2o17b2o3bo$11b3o2b3ob4o12b2o45b2o6b2o11bo16bo2bobobo$14b2o
2bobo2bo12bobo44bobo18bobo12bo2b3ob2obo$13bo2bo4bo16bo45bo20b2o12b3o3b
o3bo$11bo2bobob3o17b2o70bo4bo6bobo2b2ob2o$11b4o74b2o17b2ob4ob2o3b2ob3o
3bo$14bob2ob2o70bo4b2o12bo4bo12bo2bo$11b5obob2o6bobo59b2o5b2o7b2o12b4o
b3o2b3o$11bo4bo10bob2o33bob2o2b2ob2o15bobo11bobo12bo2bobo2b2o$12b3obo
2b2o6bo36b2obo3bobobo16b2o10bo16bo2bobo2bo$14b2o3b2o10b2o29b2o3bobobo
bobo3b2o10bo11b2o17b2obo2bo2bo$61bo2b2o2bobobo2b2o2b2o31b3o11bobob2o$
60bobobobobo4bo2bo34bobob2o5b2ob2o$13b2o46b2o2bobob4ob2o18b2o15bo3bob
o4b2obo2b4o$13b2o7bobo38bobobo2bobo21bobo14bobo3bo6b3o4bo$22b2o37b2ob
2ob4o25bo15b2obobo4b2o2bob3o$23bo12b2o22bobo7bobo3bo19b2o16b3o5b2o3b2o
$4b2o30bobo21bobob2ob2obob2ob2o$4bobo31bo22bobobobobo$5bo20b2o10b2o23b
o3bo60b2o$27bo34b2o3b2o11bo47b2o$24b3o52b2o6b2o$10b2o12bo53bo2bo5bo17b
2o14bo$10b2o52b3o11bo6bobo16bobo15b2o5bo7b2o$64b3o9b2o2b2o3b2o17bo16b
2o4b2o7bobo$3b2o60bo9bo4b2o16bo4b2o10b2o10b2o3b2o3bo$2bobo69b3o2bobo17b
2o14bo12b7o$2bo72bo4b2o16b2o16b3o10bo5bo$b2o13b2o47bo10b2o3bo36bo11b2o
2b3o$16bo47b3o11bo2b3o38bo7bo4bo$9b2o6b3o44b3o11bobobo37b2o7b3ob3o$9b
2o8bo59b3o39b2o7bo3bo3b2o$80b3o48b3o4bobo$62b2o3b2o13b2o48bo7bo$o9bo14b
o5bo31bo3bo14bo42b2o13b2o$3o5b3o12b3o6b2o26b3o5b3o12b3o40bo$3bo3bo14b
o8b2o27bo9bo14bo37b3o6b2o$2b2o3b2o13b2o99bo8b2o2$127bo14bo9bo$4b3o11b
2o55b4o48b3o12b3o5b3o$4bobo14bo53bo3bo50bo14bo3bo$4b3o9bo5bo52bo53b2o
13b2o3b2o$4b3o8bo60bo2bo$4b3o9bo2b2o2bo$4b3o8bo6bo123b3o$4bobo9b3o6b2o
50b2o17b2o3bo44bobo$4b3o10bo7bobo50bo16bo2bobobo30b2o11b3o$27bo50bobo
4b4o4bo2b3ob2obo28b2ob2o9b3o$18b3o6b2o50b2o3b6o3b3o3bo3bo29bo2bo9b3o$
2b2o3b2o11bo62b8o5bobo2b2ob2o28b3o9b3o$3bo3bo74b2o6b2o3b2ob3o3bo21b2o
18bobo$bobobobobo44bo28b8o11bo2bo10b3o6bobo10b2o6b3o$obob2ob2obob2ob2o
38bo23b2o3b6o3b4ob3o2b3o10bo8bo12b2o$obo7bobo3bo19b2o15b3o22bobo4b4o4b
o2bobo2b2o14bo6b2o$b2ob2ob4o25bo41bo16bo2bobo2bo40b2o3b2o$3bobobo2bob
o15b3o3bobo40b2o17b2obo2bo2bo39bo3bo$b2o2bobob4ob2o11bo3bo2b2o64bobob
2o37bobobobobo$obobobobo4bo2bo9bo5bo54b2o7b2ob2o35b2ob2obob2ob2obobo$
bo2b2o2bobobo2b2o2b2o5bo5bo53b3o7b2obo2b4o9b2o19bo3bobo7bobo$2b2o3bob
obobobo3b2o5bo5bo54bobo8b3o4bo10bo25b4ob2ob2o$4b2obo3bobobo11bo3bo26b
o29b2o6b2o2bob3o11bobo5bo15bobo2bobobo$4bob2o2b2ob2o13b3o28b2o35b2o3b
2o14b2o4bo13b2ob4obobo2b2o$36b2o20b2o63b3o10bo2bo4bobobobobo$36b2o94b
2o2b2o2bobobo2b2o2bo$102b2o28b2o3bobobobobo3b2o$101bo2bo32bobobo3bob2o
$24bo68bobo6b2o34b2ob2o2b2obo$23bobo53b2o13b2o6b2o11b2o$23b2o6b2o45bo
bo13bo6b2o8b2o2b2o5bo$31bo46bo21b2obo6bobo8bobo$32b3o42b2o10b2o9b2obo
7bo12bo$34bo54bo12bo25bo$90b3o8b2o17bo2bo3bobo$92bo3bobo7b3o11bo7b2o$
96b2o7bo2bo12bo$97bo7b3o10b3o$112b2o4bo36bo$112bobo38b3o$81bo32bo37bo
11b2o17b2o3bo$82bo16b2o13b2o28b2o6b2o11bo16bo2bobobo$80b3o17bo43bobo18b
obo12bo2b3ob2obo$97b3o6b2o37bo20b2o12b3o3bo3bo$97bo8b2o62bobo2bobo5bo
bo2b2ob2o$169bo2bo2bo2bo3b2ob3obobo$157b2o11bobo2bobo10b2o2bo$149b2o6b
2o7b2o12b4ob3o2b3o$125bob2o2b2ob2o13b2o14bobo12bo2bobo2b2o$85bo39b2ob
o3bobobo28bo16bo4bo2bo$86b2o35b2o3bobo3bobo3b2o22b2o17b3obobo2bo$85b2o
35bo2bobobob2obob2o2b2o47b4o$121bobobo3bo7bo45b2ob2obo$122b2o2bobobob
2ob2o18b2o19b2o5b2obob5o$124bobobo2bob3o19bobo17bo2bo8bo4bo$122b2ob2o
b3o4bo9b2o10bo19bo5b2o2bob3o$121bobo7bob2ob2o8b2o9b2o24b2o3b2o$121bob
ob2ob2obob2ob2o7bo$122bobobobobo42b3o$124bo3bo6bo37b3o13b2o$123bo2bo2b
o4b3o35bo3bo12b2o$123bo5bo4b3o11b2o22bob2o$148bo17b2o5b3o$98bobo23bo3b
o6bo10bobo16bobo30b2o$99b2o24b3o5bob4o7b2o17bo31bobo$99bo33bo2b3o25b2o
10b2o20bo$132b3obo39bo$108bo23bobo42b3o$109bo22bo46bo$107b3o15b3o4b4o
52bobo3b2o$124bo3bo4b3o53b2o3b2o$55bo3b2o17b2o54bo54bo9b2o$54bobobo2b
o16bo44bo5bo35bobo31bobo$53bob2ob3o2bo12bobo44bo2bo2bo13b2o21b2o33bo$
53bo3bo3b3o12b2o46bo3bo14bo22bo19b2o13b2o$51b2ob2o2bobo5bobo2bobo47b3o
5b3o12b3o40bo$52bobob3ob2o3bo2bo2bo2bo9bo27bo8bo9bo14bo28bobo6b3o6b2o
$51bo2b2o10bobo2bobo9b3o27b2o60b2o7bo8b2o$51b3o2b3ob4o12b2o5bob2o25b2o
62bo$54b2o2bobo2bo12bobo5b3o37bo2bo60bo14bo9bo$53bo2bo4bo16bo5b2o34b2o
bo64b3o12b3o5b3o$51bo2bobob3o17b2o39bob3o3bo63bo14bo3bo$51b4o14b2o50b
6o63b2o13b2o3b2o$54bob2ob2o5b2ob2o$51b5obob2o5b2o3bo136bo$51bo4bo8bo3b
2o100b2o35bo$52b3obo2b2o5b2ob2o26b2o8bo63bobo33bobo$54b2o3b2o5b2o29b2o
6b3o63bo26bo9bo$104bo93b3o7bo$89b2o13b2o93b2o7bo$53b2o35bo34bobo70bo9b
o$53b2o35bobo33b2o59b2o10bo7bobo$91b2o33bo59bobo10bo8bo$60bo15b2o108b
o21bo$44b2o14bobo13bobo19b2o35bo49b2o5bo$44bobo13b2o16bo19b2o12bo23bo
54bo13b2o3b2o$45bo20b2o10b2o32b3o19b3o54b3o12bo3bo$67bo47bo88bobobobo
bo$64b3o26bo20b2o10b2o69b2ob2obob2ob2obobo$50b2o12bo27bobo31bo49b2o19b
2ob2obo7bobo$50b2o40b2o30bobo50bo21bo4b3ob2ob2o$109b3o12b2o51bobo19b3o
bo2bobobo$43b2o64bo68b2o18b2ob2obobobo2b2o$42bobo56b2o7bo16b2o68bo7bo
3bobobo$42bo58b2o24bo65b2o2b2obob2obobobo2bo$41b2o13b2o70b7o58b2o3bob
o3bobo3b2o$56bo68b3o2b4obo62bobobo3bob2o$49b2o6b3o42b2o3b2o16bo2bo2b2o
51b2o13b2ob2o2b2obo$49b2o8bo40b3obo2b2o6b2o9b2o6bobo39b2o6b2o$99bo4bo
10bo3bo15b2o39b2o$99b5obob2o7b2o18bo$102bob2ob2o8bo14bo2bo2bo$99b4o27b
3o2bo3bo49bo$74bo24bo2bobob3o17b2obo3b2o4bo48bobo$43bo9bo14bo6bo25bo2b
o4bo16bo3b3ob7o40b2o6b2o$43b3o5b3o12b3o4b3o26b2o2bobo2bo12bobo5bo7bo41b
o$46bo3bo14bo33b3o2b3ob4o3b6o3b2o9b5o39b3o$45b2o3b2o13b2o32bo2b2o10bo
6bo12bo2bo41bo$100bobob3ob2o3bo8bo11b2o$99b2ob2o2bobo5bo6bo$47b3o51bo
3bo3b3o3b6o3b2o$47bobo51bob2ob3o2bo12bobo$47b3o11b2o28bo10bobobo2bo16b
o$47b3o9b2ob2o26b2o11bo3b2o17b2o$47b3o9bo2bo27bobo$47b3o9b3o$47bobo18b
2o32bo8b2o$47b3o6b2o10bobo6b3o22b3o6b2o$56b2o12bo8bo25bo$70b2o6bo25b2o
13b2o$45b2o3b2o58b2o7bo$46bo3bo66bobo$44bobobobobo56bo7b2o$43bobob2ob
2obob2ob2o$43bobo7bobo3bo19b2o29bobo$44b2ob2ob4o25bo17bo12b2o$46bobob
o2bobo15bo5bobo15b3o$44b2o2bobob4ob2o13bo4b2o15bo$43bobobobobo4bo2bo10b
3o9b2o10b2o20bo$44bo2b2o2bobobo2b2o2b2o19bo31bobo$45b2o3bobobobobo3b2o
19bobo30b2o$47b2obo3bobobo25b2o$47bob2o2b2ob2o$79b2o16b2o8b2o$73bo5b2o
12bo2b2o9b2o$72bobo18b4o$71bo22b2o$67bo23b2ob2o5b2o3b2o$66bobo3bo2bo15b
3o7b2o2bob3o$66b2o7bo29bo4bo$74bo26b2obob5o$75b3o23b2ob2obo$77bo29b4o
$82b2o17b3obobo2bo$83bo16bo4bo2bo$83bobo12bo2bobo2b2o$84b2o3b6o3b4ob3o
2b3o$88bo6bo10b2o2bo$87bo8bo3b2ob3obobo$88bo6bo5bobo2b2ob2o$84b2o3b6o
3b3o3bo3bo$83bobo12bo2b3ob2obo$83bo16bo2bobobo$82b2o17b2o3bo137$358bo
14bo9bo$306bo9bo14bo26b3o12b3o5b3o$306b3o5b3o12b3o29bo14bo3bo$309bo3b
o14bo31b2o13b2o3b2o$308b2o3b2o13b2o$378bo$311bo58bo6b3o$310bobo56bobo
4b2ob2o$309bo3bo54b2ob2o2b3ob3o$309bo3bo6bo48bobo3b3ob3o$309bo3bo54bo
3bo2b3ob3o$309bo3bo4b2o47b6o2b3ob3o$309bo3bo5bobo35b2o8bo3bo4b2ob2o$309b
o3bo6b2o9b2o23bobo9bobo6b3o$310bobo18bobo22bo10b2ob2o6bo$311bo21bo21b
2o11bobo$333b2o34bo5b2o3b2o$308b2o3b2o13bo47bo3bo$309bo3bo12bobo30bo14b
obobobobo$307bobobobobo11b2o29bo8b2ob2obob2ob2obobo$306bobob2ob2obob2o
b2o23b2o10b3o6b2ob2obo7bobo$306bobo7bob2ob2o19b2o3bo21bo4b3ob2ob2o$307b
2ob2ob2obo25bo4bobo19b3obo2bobobo$309bobobo4b2o20bobo5b2o18b2ob2obobo
bo2b2o$307b2o2bobob2obob2o18b2o25bo7bo3bobobo$306bobobobobo4bo2bo40b2o
2b2obob2obobobo2bo$307bo2b3obob4ob2o2b2o36b2o3bobo3bobo3b2o$308b2o3bo
bobobobo3b2o41bobobo3bob2o$310b2obo3bobobo32b2o13b2ob2o2b2obo$310bob2o
2b2ob2o13b2o10b2o6b2o$334b2o6b2o2b2o$342b2o2$359bo$330bo27bobo$329bob
o19b2o6b2o$329b2o6b2o13bo$337bo11b3o$338b3o8bo$340bo!

[dbell]

> Reduced again by using a smaller P4:
Thanks for that.

I figured out the full adjustments possible for this type of oscillator.

If you move the lower right glider guns outwards by 14 cells and advance them by 52 generations, then the oscillator period is increased by 108 generations.

If you move the lower right glider guns inwards by 14 cells and advance them by 56 generations, then the oscillator period is decreased by 108 generations.

(My original adjustment method of shifting the lower right guns by 378 cells to change the period by 2916 generations is just a special case of the above where the advancement does nothing.)

Alternatively, you can shift the period 4 oscillator inwards or outwards by 14 cells which will change the period by 108 generations. But in this case, you have to adjust the glider stream guns for the closest packing, and the result will be the same as the first cases.

Here is the minimum period easily attainable by adjusting the oscillator.

Code: Select all

#C A period 324 oscillator which uses a series of kickbacks.
#C This is an adjustment from the original oscillator of this type.
#C David I. Bell, 12 December 2023
x = 216, y = 217
15bo3boo17boo$14bobobobbo16bo$13boboob3obbo12bobo$13bo3bo3b3o12boo$11b
ooboobbobo5bobobbobo60bo$12bobob3oboo3bobbobbobbo57b3o$11bobboo10bobo
bbobo57bo11boo17boo3bo$11b3obb3ob4o12boo45boo6boo11bo16bobbobobo$14boo
bbobobbo12bobo44bobo18bobo12bobb3oboobo$13bobbo4bo16bo45bo20boo12b3o3b
o3bo$11bobbobob3o17boo70bo4bo6bobobbooboo$11b4o74boo17boob4oboo3boob3o
3bo$14bobooboo70bo4boo12bo4bo12bobbo$11b5oboboo6bobo59boo5boo7boo12b4o
b3obb3o$11bo4bo10boboo33boboobbooboo15bobo11bobo12bobbobobboo$12b3obo
bboo6bo36boobo3bobobo16boo10bo16bobbobobbo$14boo3boo10boo29boo3bobobob
obo3boo10bo11boo17boobobbobbo$61bobboobbobobobboobboo31b3o11boboboo$
60bobobobobo4bobbo34boboboo5booboo$13boo46boobbobob4oboo18boo15bo3bobo
4boobobb4o$13boo7bobo38bobobobbobo21bobo14bobo3bo6b3o4bo$22boo37booboo
b4o25bo15boobobo4boobbob3o$23bo12boo22bobo7bobo3bo19boo16b3o5boo3boo$
4boo30bobo21bobobooboobobooboo$4bobo31bo22bobobobobo$5bo20boo10boo23bo
3bo60boo$27bo34boo3boo11bo47boo$24b3o52boo6boo$10boo12bo53bobbo5bo17b
oo14bo$10boo52b3o11bo6bobo16bobo15boo5bo7boo$64b3o9boobboo3boo17bo16b
oo4boo7bobo$3boo60bo9bo4boo16bo4boo10boo10boo3boo3bo$bbobo69b3obbobo
17boo14bo12b7o$bbo72bo4boo16boo16b3o10bo5bo$boo13boo47bo10boo3bo36bo
11boobb3o$16bo47b3o11bobb3o38bo7bo4bo$9boo6b3o44b3o11bobobo37boo7b3ob
3o$9boo8bo59b3o39boo7bo3bo3boo$80b3o48b3o4bobo$62boo3boo13boo48bo7bo$o
9bo14bo5bo31bo3bo14bo42boo13boo$3o5b3o12b3o6boo26b3o5b3o12b3o40bo$3bo
3bo14bo8boo27bo9bo14bo37b3o6boo$bboo3boo13boo99bo8boo$$127bo14bo9bo$4b
3o11boo55b4o48b3o12b3o5b3o$4bobo14bo53bo3bo50bo14bo3bo$4b3o9bo5bo52bo
53boo13boo3boo$4b3o8bo60bobbo$4b3o9bobboobbo$4b3o8bo6bo123b3o$4bobo9b
3o6boo50boo17boo3bo44bobo$4b3o10bo7bobo50bo16bobbobobo30boo11b3o$27bo
50bobo4b4o4bobb3oboobo28booboo9b3o$18b3o6boo50boo3b6o3b3o3bo3bo29bobbo
9b3o$bboo3boo11bo62b8o5bobobbooboo28b3o9b3o$3bo3bo74boo6boo3boob3o3bo
21boo18bobo$bobobobobo44bo28b8o11bobbo10b3o6bobo10boo6b3o$obobooboobob
ooboo38bo23boo3b6o3b4ob3obb3o10bo8bo12boo$obo7bobo3bo19boo15b3o22bobo
4b4o4bobbobobboo14bo6boo$booboob4o25bo41bo16bobbobobbo40boo3boo$3bobob
obbobo15b3o3bobo40boo17boobobbobbo39bo3bo$boobbobob4oboo11bo3bobboo64b
oboboo37bobobobobo$obobobobo4bobbo9bo5bo54boo7booboo35booboobobooboobo
bo$bobboobbobobobboobboo5bo5bo53b3o7boobobb4o9boo19bo3bobo7bobo$bboo3b
obobobobo3boo5bo5bo54bobo8b3o4bo10bo25b4obooboo$4boobo3bobobo11bo3bo
26bo29boo6boobbob3o11bobo5bo15bobobbobobo$4boboobbooboo13b3o28boo35boo
3boo14boo4bo13boob4obobobboo$36boo20boo63b3o10bobbo4bobobobobo$36boo
94boobboobbobobobboobbo$102boo28boo3bobobobobo3boo$101bobbo32bobobo3bo
boo$24bo68bobo6boo34booboobboobo$23bobo53boo13boo6boo11boo$23boo6boo
45bobo13bo6boo8boobboo5bo$31bo46bo21boobo6bobo8bobo$32b3o42boo10boo9b
oobo7bo12bo$34bo54bo12bo25bo$90b3o8boo17bobbo3bobo$92bo3bobo7b3o11bo7b
oo$96boo7bobbo12bo$97bo7b3o10b3o$112boo4bo36bo$112bobo38b3o$81bo32bo
37bo11boo17boo3bo$82bo16boo13boo28boo6boo11bo16bobbobobo$80b3o17bo43bo
bo18bobo12bobb3oboobo$97b3o6boo37bo20boo12b3o3bo3bo$97bo8boo62bobobbob
o5bobobbooboo$169bobbobbobbo3boob3obobo$157boo11bobobbobo10boobbo$149b
oo6boo7boo12b4ob3obb3o$125boboobbooboo13boo14bobo12bobbobobboo$85bo39b
oobo3bobobo28bo16bo4bobbo$86boo35boo3bobo3bobo3boo22boo17b3obobobbo$
85boo35bobbobobobooboboobboo47b4o$121bobobo3bo7bo45booboobo$122boobbob
obobooboo18boo19boo5boobob5o$124bobobobbob3o19bobo17bobbo8bo4bo$122boo
boob3o4bo9boo10bo19bo5boobbob3o$121bobo7bobooboo8boo9boo24boo3boo$121b
obobooboobobooboo7bo$122bobobobobo42b3o$124bo3bo6bo37b3o13boo$123bobbo
bbo4b3o35bo3bo12boo$123bo5bo4b3o11boo22boboo$148bo17boo5b3o$98bobo23bo
3bo6bo10bobo16bobo30boo$99boo24b3o5bob4o7boo17bo31bobo$99bo33bobb3o25b
oo10boo20bo$132b3obo39bo$108bo23bobo42b3o$109bo22bo46bo$107b3o15b3o4b
4o52bobo3boo$124bo3bo4b3o53boo3boo$55bo3boo17boo54bo54bo9boo$54bobobo
bbo16bo44bo5bo35bobo31bobo$53boboob3obbo12bobo44bobbobbo13boo21boo33bo
$53bo3bo3b3o12boo46bo3bo14bo22bo19boo13boo$51booboobbobo5bobobbobo47b
3o5b3o12b3o40bo$52bobob3oboo3bobbobbobbo9bo27bo8bo9bo14bo28bobo6b3o6b
oo$51bobboo10bobobbobo9b3o27boo60boo7bo8boo$51b3obb3ob4o12boo5boboo25b
oo62bo$54boobbobobbo12bobo5b3o37bobbo60bo14bo9bo$53bobbo4bo16bo5boo34b
oobo64b3o12b3o5b3o$51bobbobob3o17boo39bob3o3bo63bo14bo3bo$51b4o14boo
50b6o63boo13boo3boo$54bobooboo5booboo$51b5oboboo5boo3bo136bo$51bo4bo8b
o3boo100boo35bo$52b3obobboo5booboo26boo8bo63bobo33bobo$54boo3boo5boo
29boo6b3o63bo26bo9bo$104bo93b3o7bo$89boo13boo93boo7bo$53boo35bo34bobo
70bo9bo$53boo35bobo33boo59boo10bo7bobo$91boo33bo59bobo10bo8bo$60bo15b
oo108bo21bo$44boo14bobo13bobo19boo35bo49boo5bo$44bobo13boo16bo19boo12b
o23bo54bo13boo3boo$45bo20boo10boo32b3o19b3o54b3o12bo3bo$67bo47bo88bobo
bobobo$64b3o26bo20boo10boo69booboobobooboobobo$50boo12bo27bobo31bo49b
oo19booboobo7bobo$50boo40boo30bobo50bo21bo4b3obooboo$109b3o12boo51bobo
19b3obobbobobo$43boo64bo68boo18booboobobobobboo$42bobo56boo7bo16boo68b
o7bo3bobobo$42bo58boo24bo65boobbooboboobobobobbo$41boo13boo70b7o58boo
3bobo3bobo3boo$56bo68b3obb4obo62bobobo3boboo$49boo6b3o42boo3boo16bobbo
bboo51boo13booboobboobo$49boo8bo40b3obobboo6boo9boo6bobo39boo6boo$99bo
4bo10bo3bo15boo39boo$99b5oboboo7boo18bo$102bobooboo8bo14bobbobbo$99b4o
27b3obbo3bo49bo$74bo24bobbobob3o17boobo3boo4bo48bobo$43bo9bo14bo6bo25b
obbo4bo16bo3b3ob7o40boo6boo$43b3o5b3o12b3o4b3o26boobbobobbo12bobo5bo7b
o41bo$46bo3bo14bo33b3obb3ob4o3b6o3boo9b5o39b3o$45boo3boo13boo32bobboo
10bo6bo12bobbo41bo$100bobob3oboo3bo8bo11boo$99booboobbobo5bo6bo$47b3o
51bo3bo3b3o3b6o3boo$47bobo51boboob3obbo12bobo$47b3o11boo28bo10bobobobb
o16bo$47b3o9booboo26boo11bo3boo17boo$47b3o9bobbo27bobo$47b3o9b3o$47bob
o18boo32bo8boo$47b3o6boo10bobo6b3o22b3o6boo$56boo12bo8bo25bo$70boo6bo
25boo13boo$45boo3boo58boo7bo$46bo3bo66bobo$44bobobobobo56bo7boo71bo14b
o9bo$43bobobooboobobooboo78bo9bo14bo26b3o12b3o5b3o$43bobo7bobo3bo19boo
29bobo25b3o5b3o12b3o29bo14bo3bo$44booboob4o25bo17bo12boo29bo3bo14bo31b
oo13boo3boo$46bobobobbobo15bo5bobo15b3o42boo3boo13boo$44boobbobob4oboo
13bo4boo15bo115bo$43bobobobobo4bobbo10b3o9boo10boo20bo26bo66bo$44bobb
oobbobobobboobboo19bo31bobo24bobo64bobo$45boo3bobobobobo3boo19bobo30b
oo35bobbo37b3o13bo$47boobo3bobobo25boo56b3o11bo36bo3bo12bo$47boboobboo
boo95bo3bo34bo5bo11bo$79boo16boo8boo46boo36bo3bo12bo$73bo5boo12bobboo
9boo33b3o10boo32boo3b3o5bo6bobo$72bobo18b4o66boo23bobo11bo7bo$71bo22b
oo46bobo6boo10bobo22bo12bo8bo$67bo23booboo5boo3boo35bo7boo12bo21boo$
66bobo3bobbo15b3o7boobbob3o55boo40boo3boo$66boo7bo29bo4bo29boo3boo61bo
3bo$74bo26boobob5o30bo3bo60bobobobobo$75b3o23booboobo31bobobobobo51boo
boobobooboobobo$77bo29b4o27bobobooboobobooboo23boo19booboobo7bobo$82b
oo17b3obobobbo27bobo7bobooboo19boo3bo21bo4b3obooboo$83bo16bo4bobbo30b
oobooboobo25bo4bobo19b3obobbobobo$83bobo12bobbobobboo33bobobo4boo14bo
5bobo5boo18booboobobobobboo$84boo3b6o3b4ob3obb3o28boobbobobooboboo10bo
bo5boo11bo13bo7bo3bobobo$88bo6bo10boobbo27bobobobobo4bobbo10boo17b3o8b
oobbooboboobobobobbo$87bo8bo3boob3obobo29bobb3obob4oboobboo25boo9boo3b
obo3bobo3boo$88bo6bo5bobobbooboo29boo3bobobobobo3boo41bobobo3boboo$84b
oo3b6o3b3o3bo3bo33boobo3bobobo32boo13booboobboobo$83bobo12bobb3oboobo
33boboobbooboo13boo10boo6boo$83bo16bobbobobo58boo6boobboo$82boo17boo3b
o67boo$$191bo$162bo27bobo$161bobo19boo6boo$161boo6boo13bo$169bo11b3o$
170b3o8bo$172bo!

Here is the third oscillator in the series where the kickback activity is more visible.

Code: Select all

#C A period 540 oscillator which uses a series of kickbacks.
#C This is an adjustment from the original oscillator of this type.
#C David I. Bell, 12 December 2023
x = 244, y = 245
15bo3boo17boo$14bobobobbo16bo$13boboob3obbo12bobo$13bo3bo3b3o12boo$11b
ooboobbobo5bobobbobo60bo$12bobob3oboo3bobbobbobbo57b3o$11bobboo10bobo
bbobo57bo11boo17boo3bo$11b3obb3ob4o12boo45boo6boo11bo16bobbobobo$14boo
bbobobbo12bobo44bobo18bobo12bobb3oboobo$13bobbo4bo16bo45bo20boo12b3o3b
o3bo$11bobbobob3o17boo70bo4bo6bobobbooboo$11b4o74boo17boob4oboo3boob3o
3bo$14bobooboo70bo4boo12bo4bo12bobbo$11b5oboboo6bobo59boo5boo7boo12b4o
b3obb3o$11bo4bo10boboo33boboobbooboo15bobo11bobo12bobbobobboo$12b3obo
bboo6bo36boobo3bobobo16boo10bo16bobbobobbo$14boo3boo10boo29boo3bobobob
obo3boo10bo11boo17boobobbobbo$61bobboobbobobobboobboo31b3o11boboboo$
60bobobobobo4bobbo34boboboo5booboo$13boo46boobbobob4oboo18boo15bo3bobo
4boobobb4o$13boo7bobo38bobobobbobo21bobo14bobo3bo6b3o4bo$22boo37booboo
b4o25bo15boobobo4boobbob3o$23bo12boo22bobo7bobo3bo19boo16b3o5boo3boo$
4boo30bobo21bobobooboobobooboo$4bobo31bo22bobobobobo$5bo20boo10boo23bo
3bo60boo$27bo34boo3boo11bo47boo$24b3o52boo6boo$10boo12bo53bobbo5bo17b
oo14bo$10boo52b3o11bo6bobo16bobo15boo5bo7boo$64b3o9boobboo3boo17bo16b
oo4boo7bobo$3boo60bo9bo4boo16bo4boo10boo10boo3boo3bo$bbobo69b3obbobo
17boo14bo12b7o$bbo72bo4boo16boo16b3o10bo5bo$boo13boo47bo10boo3bo36bo
11boobb3o$16bo47b3o11bobb3o38bo7bo4bo$9boo6b3o44b3o11bobobo37boo7b3ob
3o$9boo8bo59b3o39boo7bo3bo3boo$80b3o48b3o4bobo$62boo3boo13boo48bo7bo$o
9bo14bo5bo31bo3bo14bo42boo13boo$3o5b3o12b3o6boo26b3o5b3o12b3o40bo$3bo
3bo14bo8boo27bo9bo14bo37b3o6boo$bboo3boo13boo99bo8boo$$127bo14bo9bo$4b
3o11boo55b4o48b3o12b3o5b3o$4bobo14bo53bo3bo50bo14bo3bo$4b3o9bo5bo52bo
53boo13boo3boo$4b3o8bo60bobbo$4b3o9bobboobbo$4b3o8bo6bo123b3o$4bobo9b
3o6boo50boo17boo3bo44bobo$4b3o10bo7bobo50bo16bobbobobo30boo11b3o$27bo
50bobo4b4o4bobb3oboobo28booboo9b3o$18b3o6boo50boo3b6o3b3o3bo3bo29bobbo
9b3o$bboo3boo11bo62b8o5bobobbooboo28b3o9b3o$3bo3bo74boo6boo3boob3o3bo
21boo18bobo$bobobobobo44bo28b8o11bobbo10b3o6bobo10boo6b3o$obobooboobob
ooboo38bo23boo3b6o3b4ob3obb3o10bo8bo12boo$obo7bobo3bo19boo15b3o22bobo
4b4o4bobbobobboo14bo6boo$booboob4o25bo41bo16bobbobobbo40boo3boo$3bobob
obbobo15b3o3bobo40boo17boobobbobbo39bo3bo$boobbobob4oboo11bo3bobboo64b
oboboo37bobobobobo$obobobobo4bobbo9bo5bo54boo7booboo35booboobobooboobo
bo$bobboobbobobobboobboo5bo5bo53b3o7boobobb4o9boo19bo3bobo7bobo$bboo3b
obobobobo3boo5bo5bo54bobo8b3o4bo10bo25b4obooboo$4boobo3bobobo11bo3bo
26bo29boo6boobbob3o11bobo5bo15bobobbobobo$4boboobbooboo13b3o28boo35boo
3boo14boo4bo13boob4obobobboo$36boo20boo63b3o10bobbo4bobobobobo$36boo
94boobboobbobobobboobbo$102boo28boo3bobobobobo3boo$101bobbo32bobobo3bo
boo$24bo68bobo6boo34booboobboobo$23bobo53boo13boo6boo11boo$23boo6boo
45bobo13bo6boo8boobboo5bo$31bo46bo21boobo6bobo8bobo$32b3o42boo10boo9b
oobo7bo12bo$34bo54bo12bo25bo$90b3o8boo17bobbo3bobo$92bo3bobo7b3o11bo7b
oo$96boo7bobbo12bo$97bo7b3o10b3o$112boo4bo36bo$112bobo38b3o$81bo32bo
37bo11boo17boo3bo$82bo16boo13boo28boo6boo11bo16bobbobobo$80b3o17bo43bo
bo18bobo12bobb3oboobo$97b3o6boo37bo20boo12b3o3bo3bo$97bo8boo62bobobbob
o5bobobbooboo$169bobbobbobbo3boob3obobo$157boo11bobobbobo10boobbo$149b
oo6boo7boo12b4ob3obb3o$125boboobbooboo13boo14bobo12bobbobobboo$85bo39b
oobo3bobobo28bo16bo4bobbo$86boo35boo3bobo3bobo3boo22boo17b3obobobbo$
85boo35bobbobobobooboboobboo47b4o$121bobobo3bo7bo45booboobo$122boobbob
obobooboo18boo19boo5boobob5o$124bobobobbob3o19bobo17bobbo8bo4bo$122boo
boob3o4bo9boo10bo19bo5boobbob3o$121bobo7bobooboo8boo9boo24boo3boo$121b
obobooboobobooboo7bo$122bobobobobo42b3o$124bo3bo6bo37b3o13boo$123bobbo
bbo4b3o35bo3bo12boo$123bo5bo4b3o11boo22boboo$148bo17boo5b3o$98bobo23bo
3bo6bo10bobo16bobo30boo$99boo24b3o5bob4o7boo17bo31bobo$99bo33bobb3o25b
oo10boo20bo$132b3obo39bo$108bo23bobo42b3o$109bo22bo46bo$107b3o15b3o4b
4o52bobo3boo$124bo3bo4b3o53boo3boo$55bo3boo17boo54bo54bo9boo$54bobobo
bbo16bo44bo5bo35bobo31bobo$53boboob3obbo12bobo44bobbobbo13boo21boo33bo
$53bo3bo3b3o12boo46bo3bo14bo22bo19boo13boo$51booboobbobo5bobobbobo47b
3o5b3o12b3o40bo$52bobob3oboo3bobbobbobbo9bo27bo8bo9bo14bo28bobo6b3o6b
oo$51bobboo10bobobbobo9b3o27boo60boo7bo8boo$51b3obb3ob4o12boo5boboo25b
oo62bo$54boobbobobbo12bobo5b3o37bobbo60bo14bo9bo$53bobbo4bo16bo5boo34b
oobo64b3o12b3o5b3o$51bobbobob3o17boo39bob3o3bo63bo14bo3bo$51b4o14boo
50b6o63boo13boo3boo$54bobooboo5booboo$51b5oboboo5boo3bo136bo$51bo4bo8b
o3boo100boo35bo$52b3obobboo5booboo26boo8bo63bobo33bobo$54boo3boo5boo
29boo6b3o63bo26bo9bo$104bo93b3o7bo$89boo13boo93boo7bo$53boo35bo34bobo
70bo9bo$53boo35bobo33boo59boo10bo7bobo$91boo33bo59bobo10bo8bo$60bo15b
oo108bo21bo$44boo14bobo13bobo19boo35bo49boo5bo$44bobo13boo16bo19boo12b
o23bo54bo13boo3boo$45bo20boo10boo32b3o19b3o54b3o12bo3bo$67bo47bo88bobo
bobobo$64b3o26bo20boo10boo69booboobobooboobobo$50boo12bo27bobo31bo49b
oo19booboobo7bobo$50boo40boo30bobo50bo21bo4b3obooboo$109b3o12boo51bobo
19b3obobbobobo$43boo64bo68boo18booboobobobobboo$42bobo56boo7bo16boo68b
o7bo3bobobo$42bo58boo24bo65boobbooboboobobobobbo$41boo13boo70b7o58boo
3bobo3bobo3boo$56bo68b3obb4obo62bobobo3boboo$49boo6b3o42boo3boo16bobbo
bboo51boo13booboobboobo$49boo8bo40b3obobboo6boo9boo6bobo39boo6boo$99bo
4bo10bo3bo15boo39boo$99b5oboboo7boo18bo$102bobooboo8bo14bobbobbo$99b4o
27b3obbo3bo49bo$74bo24bobbobob3o17boobo3boo4bo48bobo$43bo9bo14bo6bo25b
obbo4bo16bo3b3ob7o40boo6boo$43b3o5b3o12b3o4b3o26boobbobobbo12bobo5bo7b
o41bo$46bo3bo14bo33b3obb3ob4o3b6o3boo9b5o39b3o$45boo3boo13boo32bobboo
10bo6bo12bobbo41bo$100bobob3oboo3bo8bo11boo$99booboobbobo5bo6bo$47b3o
51bo3bo3b3o3b6o3boo$47bobo51boboob3obbo12bobo$47b3o11boo28bo10bobobobb
o16bo$47b3o9booboo26boo11bo3boo17boo$47b3o9bobbo27bobo$47b3o9b3o$47bob
o18boo32bo8boo$47b3o6boo10bobo6b3o22b3o6boo$56boo12bo8bo25bo$70boo6bo
25boo13boo$45boo3boo58boo7bo$46bo3bo66bobo$44bobobobobo56bo7boo$43bobo
booboobobooboo$43bobo7bobo3bo19boo29bobo$44booboob4o25bo17bo12boo$46bo
bobobbobo15bo5bobo15b3o$44boobbobob4oboo13bo4boo15bo$43bobobobobo4bobb
o10b3o9boo10boo20bo$44bobboobbobobobboobboo19bo31bobo$45boo3bobobobobo
3boo19bobo30boo$47boobo3bobobo25boo$47boboobbooboo$79boo16boo8boo$73bo
5boo12bobboo9boo$72bobo18b4o$71bo22boo$67bo23booboo5boo3boo$66bobo3bo
bbo15b3o7boobbob3o$66boo7bo29bo4bo$74bo26boobob5o$75b3o23booboobo$77bo
29b4o$82boo17b3obobobbo$83bo16bo4bobbo$83bobo12bobbobobboo$84boo3b6o3b
4ob3obb3o$88bo6bo10boobbo$87bo8bo3boob3obobo$88bo6bo5bobobbooboo$84boo
3b6o3b3o3bo3bo109bo14bo9bo$83bobo12bobb3oboobo57bo9bo14bo26b3o12b3o5b
3o$83bo16bobbobobo58b3o5b3o12b3o29bo14bo3bo$82boo17boo3bo62bo3bo14bo
31boo13boo3boo$168boo3boo13boo46b5o$237b3o$170b3o63b5o$169bo3bobboo3bo
$168bo5bo47boo$183bo38bobobboo$167bo7bo5boboo37b3obb3o$167bo7bo4boobo
39bo4boo$217boo$168bo5bo3bobo10boo23bobo11bo5b5o$169bo3bo5bobo9bobo22b
o11bobo6b3o$170b3o5bobbo11bo21boo19b5o$193boo40boo3boo$168boo3boo61bo
3bo$169bo3bo60bobobobobo$167bobobobobo51booboobobooboobobo$166boboboob
oobobooboo23boo19booboobo7bobo$166bobo7bobo3bo19boo3bo25boboobooboo$
167booboob4o16bo8bo4bobo20boo4bobobo$169bobobobbobo12bobo6bobo5boo4bo
13booboboobobobboo$167boobbobob4oboo10boo6boo11bo13bobbo4bobobobobo$
166bobobobobo4bobbo30b3o7boobboob4obob3obbo$167bobboobbobobobboobboo
36boo3bobobobobo3boo$168boo3bobobobobo3boo41bobobo3boboo$170boobo3bobo
bo32boo13booboobboobo$170boboobbooboo13boo10boo6boo$194boo6boobboo$
202boo$$219bo$190bo27bobo$189bobo19boo6boo$189boo6boo13bo$197bo11b3o$
198b3o8bo$200bo!

BCNU,
-dbell