Oscillator Discussion Thread

[hotcrystal0]

Are these known?

Code: Select all

x = 69, y = 23, rule = B3/S23
36b2o3b2o$34bo3bobo3bo$33b2obobobobob2o$11b2o25bobo$9bo2bo7bo17bobo$8b
o7b2o3bo14bobobobo5b2o$2o6bo6bo5bo14b2o3b2o5b2o15b2o$2o6bo7b5o15bo5bo
13bo7bobo$9bo2bo35b2o4b3o8bo$11b2o22b2o5b2o4b2o3bo$35b2o5b2o9b2o$19b2o
40b3o$19b2o39bo3bo2b2o$50b3o6bo5bob2o$19b2o4b2o22bo3bo6bo3bo$19b2o4b2o
18b2obo5bo6b3o$45b2o2bo3bo$50b3o$24b3o32b2o$24b2obo2b2o28bo$26b2o2b2o
16bo8b3o$26b2o19bobo7bo$47b2o!

[calcyman]

The first one works if you manually advance each output glider by 1 generation after fired.

It would also work if the following reflectable duoplet could be supplied every 39 generations:

Code: Select all

x = 53, y = 51, rule = LifeHistory
9.3A$9.A3B$10.A3B$11.4B$12.4B$13.4B$14.4B$15.4B$16.4B$17.3BA$18.B2AB$
13.A5.ABAB$13.3A4.4B$16.A4.4B$15.2A5.4B$15.5B3.4B$17.4B3.4B11.A$16.5B
4.4B8.3A$15.7B4.4BC5.A$16.BA6B3.4BC4.2A$16.B2A8B3AB2.5B$16.3BA9BAB.4B
$14.3B2A9BAB2.5B$9.B.6BA12B.7B$8.2AB.22B2AB$8.2A24B2AB$9.2B.21BA3B$
12.10B3.9B2A3B$15.7B7.5B2A6B.B$6.2A9.5B6.13B.B2A$5.B2AB9.B.3B6.14B2A$
6.2B9.6B6.12B.2B$7.3B2AB4.2B2AB9.10B$6.3B4AB2A2BABAB9.7B$.B4.2B4AB3A
3BAB10.5B9.2A$2AB.2B.BABABA2BA.3B10.3B.B9.B2AB$2A5B2.2A10B9.6B9.2B$.B
.2B2A2.6B2.2B2AB9.B2A2B4.A2BA2B$3.B2ABAB10.2A10.BABA2BA6BA2B$3.5AB23.
BA2BA7BA2B4.B$3.3A3B24.3B.AB2A3BAB.2B.B2A$3.BABA2B23.9B3A2.5B2A$4.BA
3B22.B2A2B2.6B2.3AB.B$4.2A3B23.2A10.BA3BA$4.3AB36.BA4B$5.B38.BA4B$44.
2BA2BA$44.2BA2B$44.5B$45.BABA$47.A!

[dvgrn]

It would also work if the following reflectable duoplet could be supplied every 39 generations...

Heh, it would work to supply a banana spark, too, and maybe there's slightly more clearance:

Code: Select all

x = 53, y = 52, rule = LifeHistory
10.2A$9.2A2B$10.BA2B$11.4B$12.4B$13.4B$14.4B$15.4B$16.4B$17.4B$18.B3A
$19.A3B$13.A6.A3B$13.3A5.4B$16.A5.4B$15.2A6.4B$15.5B4.4B$17.4B4.4B2.E
7.A$16.5B5.4BE6.3A$15.7B5.3BE5.A$16.BA6B4.3B5.2A$16.B2A8B3AB2.5B$16.
3BA9BAB.4B$14.3B2A9BAB2.5B$9.B.6BA12B.7B$8.2AB.22B2AB$8.2A24B2AB$9.2B
.21BA3B$12.10B3.9B2A3B$15.7B7.5B2A6B.B$6.2A9.5B6.13B.B2A$5.B2AB9.B.3B
6.14B2A$6.2B9.6B6.12B.2B$7.3B2AB4.2B2AB9.10B$6.3B4AB2A2BABAB9.7B$.B4.
2B4AB3A3BAB10.5B9.2A$2AB.2B.BABABA2BA.3B10.3B.B9.B2AB$2A5B2.2A10B9.6B
9.2B$.B.2B2A2.6B2.2B2AB9.B2A2B4.A2BA2B$3.B2ABAB10.2A10.BABA2BA6BA2B$
3.5AB23.BA2BA7BA2B4.B$3.3A3B24.3B.AB2A3BAB.2B.B2A$3.BABA2B23.9B3A2.5B
2A$4.BA3B22.B2A2B2.6B2.3AB.B$4.2A3B23.2A10.BA3BA$4.3AB36.BA4B$5.B38.B
A4B$44.2BA2BA$44.2BA2B$44.5B$45.BABA$47.A!

But that looks like a tough mechanism to supply. While I'm wishing, I'd like a nice small signal splitter for lightspeed signals, with a "fizzle" end that can supply one of those sparks.

[Sokwe]

p60 found in symmetric soup

Code: Select all

x = 45, y = 45, rule = B3/S23
4b2o33b2o$3bobo33bobo$3b2o35b2o$b2o39b2o$obo39bobo$2o4b2o6bo15bo6b2o4b
2o$5bobo4bobo15bobo4bobo$5b2o4bobo17bobo4b2o$10bo2bo17bo2bo$11bobo17b
obo$8bo3bobo15bobo3bo$7bobo4bo15bo4bobo$6bo3bo23bo3bo$7b3o25b3o$5b2o3b
2o21b2o3b2o16$5b2o3b2o21b2o3b2o$7b3o25b3o$6bo3bo23bo3bo$7bobo4bo15bo4b
obo$8bo3bobo15bobo3bo$11bobo17bobo$10bo2bo17bo2bo$5b2o4bobo17bobo4b2o
$5bobo4bobo15bobo4bobo$2o4b2o6bo15bo6b2o4b2o$obo39bobo$b2o39b2o$3b2o35b
2o$3bobo33bobo$4b2o33b2o!

Reaction works elsewhere, too, such as this p32 by iNoMed

Code: Select all

x = 20, y = 21, rule = B3/S23
5bo7bo$5b3o4bobo$8bo2bo2bo$7b2o2$10bo2bo$10bobo3b2o$10b2o4b2o$5bo$6bo$
4bobo$5bob2o$2o4bo2bo$o6bo6bo$b2o10bobo$3bo8bo3bo$3bobo7bo3bo$4b2o8bo
3bo$15bo3bo$16bobo$17bo!

Specifically, found by Jim Hortons on 18 Jan. 2022. This and the new supports for the large p16 a few days ago show that there is still much to be found in symmetric soups. I encourage people to switch at least some of their asymmetric soup searches to symmetric soup searches.

Heres a p30 -> p60 example:

Code: Select all

x = 67, y = 22, rule = B3/S23
17b2o$17bobo41b2o$19bo41bobo$15b4ob2o40b2o$15bo2bobobo41b2o$20bobo41bo
bo$2b2o16bo2b2o17b2o15b2o4b2o$b4o14b2o4bo15b4o14bobo$obo2bo15b5o14bobo
2bo14b2o$2o2bobo8b3o3bo4b2o12b2o2bobo8b3o$5bobo6bo3bo5b2o2bo16bobo6bo
3bo$7b2o4bo5bo5bob2o18b2o4bo5bo$6b3o4bo5bo5bo20b3o4bo5bo$5bobo5bo5bo4b
2o19bobo5bo5bo$5b2o7bo3bo26b2o7bo3bo3b2o$15b3o37b3o4bobo$64bo$64b2o$
18b2o38b2o$18bo39bo$19b3o37b3o$21bo39bo!

I don't recall any other still life capable of performing this exact catalysis. My hope was that it could complete one of the p17 partials, giving a p34, but my attempts were unsuccessful.

[JP21]

There is a smaller stabilization for the p30 honey farm hassler that I kept to myself for a while.
That stabilization is still 5 cells smaller but isn't a p30 anymore.

Code: Select all

x = 26, y = 24, rule = B3/S23
22b2o$22bo2bo3$22bob2o$17b2o2bobo$17bo4bo$21bo$18bo2bo$4b2o18b2o$2obo
20bo$2o2bo2bo14bobo$5bobo14b2o$6bo8bo2bo$15bo2bo$5b2o7bo3bo$5b2o8bo6b
2o$22bobo$24bo$24b2o$18b2o$18bo$19b3o$21bo!

There might be a catalyst that works in life to complete this p17 partial:

Code: Select all

x = 19, y = 21, rule = Symbiosis
5.A$5.3A$8.A$7.2A2$9.3A$8.A3.A$2A5.A5.A$A.A4.A5.A$2.A4.A5.A$2.2A4.A3.
A2.2A$5.A3.3A3.A.A$2.AB2A11.A$2.A14.2A$4.2A$3.2A.A$2.A3.3A.A$2.A.2A3.
2A$3.A2.2A$4.A.A.3A$5.A4.A!

[vivi]

There is a smaller stabilization for the p30 honey farm hassler that I kept to myself for a while.
That stabilization is still 5 cells smaller but isn't a p30 anymore.

Code: Select all

x = 26, y = 24, rule = B3/S23
22b2o$22bo2bo3$22bob2o$17b2o2bobo$17bo4bo$21bo$18bo2bo$4b2o18b2o$2obo
20bo$2o2bo2bo14bobo$5bobo14b2o$6bo8bo2bo$15bo2bo$5b2o7bo3bo$5b2o8bo6b
2o$22bobo$24bo$24b2o$18b2o$18bo$19b3o$21bo!

reduced by 2 whole cells:

Code: Select all

x = 26, y = 24, rule = B3/S23
22b2o$22bo2bo3$22bob2o$17b2o2bobo$17bo4bo$21bo$18bo2bo$4b2o$2obo20bo$
2o2bo2bo14bo2bo$5bobo14bo2bo$6bo8bo2bo4bo$15bo2bo$5b2o7bo3bo4bo$5b2o8b
o6bo2bo$22bo2bo$24bo2$18b2o$18bo$19b3o$21bo!

[cvojan]

Partial P37, by iNoMed and cvojan

Code: Select all

x = 34, y = 33, rule = B3/S23
6bo$5bobo$5bo2bo15b2o$6b2o16bo$22bobo$13bo3bo4b2o$12b2o3b2o$11b2o5b2o$
12b2o3b2o$13b5o$14b3o$15bo$2b2o$bobo$bo$2o2$32b2o$32bo$30bobo$30b2o$
18bo$17b3o$16b5o$15b2o3b2o$14b2o5b2o$15b2o3b2o$10b2o4bo3bo$9bobo$9bo
16b2o$8b2o15bo2bo$26bobo$27bo!

P62 traffic stop hassler:

Code: Select all

x = 38, y = 50, rule = B3/S23
24b4o$21b10o$21b2o6b2o$22bo6bo$14b2o7bo4bo7b2o$14b2o7b6o7b2o8$14b2o7b
6o7b2o$14b2o7bo4bo7b2o$22bo6bo$21b2o6b2o$21b10o$9b2o13b4o$10bo$10bobo$
11b2o$17bo$16b2o$17bo4$19b2o4b2o$19b2o4bobo$27bo$10b4o13b2o$7b10o$7b2o
6b2o$8bo6bo$2o7bo4bo7b2o$2o7b6o7b2o8$2o7b6o7b2o$2o7bo4bo7b2o$8bo6bo$7b
2o6b2o$7b10o$10b4o!

[C28]

variation of 387P132 that uses p6 thumbs

Code: Select all

x = 50, y = 50, rule = B3/S23
15b2o$11b2obobo$12bobo$12bo2bo$11b2obobob2ob2o$10bo3b2o3bobo7bo$11b3o
5bobo7b3o$14b5obo5bo5bo$11b2obo2bo8b6obo$10bobob2o2b5o8bobo$10bo3bo3b
o4bo2b2obo3b2o4b2o3bo$11b3ob2obob3o3b2o4bo5bo2bobobo2bo$13bo6bo7b2o2b
o5bob2obob4o$30b2o5b2obo2bo$14bo4bo17bo4bob2ob2o$10bo5b2o19b2o3bobobo
2bo$8b3o26b2obobo2bo2b2o$7bo3b2o24b2obobo$6bob2obobo23b2obobo2bo$6bob
obobo24bo2bo2b3o$5b2obo28b2obobo$8bo2bo26bobo2b3o$8bobo27bobo4bo$7b2o
b2o17b3o7bo$29b3o$28bobo$10bo17b2o8b2ob2o$4bo4bobo27bobo$4b3o2bobo26b
o2bo$7bobob2o28bob2o$4b3o2bo2bo24bobobobo$4bo2bobob2o23bobob2obo$7bob
ob2o24b2o3bo$2o2bo2bobob2o26b3o$o2bobobo3b2o19b2o5bo$b2ob2obo4bo17bo4b
o$6bo2bob2o5b2o$b4obob2obo5bo2b2o7bo6bo$bo2bobobo2bo5bo4b2o3b3obob2ob
3o$5bo3b2o4b2o3bob2o2bo4bo3bo3bo$16bobo8b5o2b2obobo$16bob6o8bo2bob2o$
17bo5bo5bob5o$18b3o7bobo5b3o$20bo7bobo3b2o3bo$27b2ob2obobob2o$34bo2bo
$35bobo$33bobob2o$33b2o!

[iNoMed]

Finally figured out a way to delete the blocks from the period-39 Pi hassler without resorting to a period-13 oscillator, resulting in this 78-cell oscillator:

Code: Select all

x = 34, y = 32, rule = B3/S23
8b2o$7bobo$7bo$2bob2ob2o$2b2obo$5bo$5b2o5$21b2o3b2o$21bobo2b2o$22bo$9b
3o$2b2o5bo2bo$bobo19bo$bo9bo11b3o$2o24bo$23bo$22bo3bo$23bobo$13b2o8b2o
$13b2o8b2o4bobo$18b2o8bo3bo$18b2o6b2o4bo$26b3obob2o$29bo3$24b2o$24b2o!

[vivi]

Finally figured out a way to delete the blocks from the period-39 Pi hassler without resorting to a period-13 oscillator, resulting in this 78-cell oscillator:

Code: Select all

x = 34, y = 32, rule = B3/S23
8b2o$7bobo$7bo$2bob2ob2o$2b2obo$5bo$5b2o5$21b2o3b2o$21bobo2b2o$22bo$9b
3o$2b2o5bo2bo$bobo19bo$bo9bo11b3o$2o24bo$23bo$22bo3bo$23bobo$13b2o8b2o
$13b2o8b2o4bobo$18b2o8bo3bo$18b2o6b2o4bo$26b3obob2o$29bo3$24b2o$24b2o!

...and now there's a dimer with only stable supports, minpop 84:

Code: Select all

x = 49, y = 30, rule = B3/S23
8b2o$7bobo$7bo$2bob2ob2o$2b2obo$5bo$5b2o27b2o$34b2o4$21b2o3b2o19b2o$
21bobo2b2o9bo9bo$22bo22bobo$9b3o24bo2bo5b2o$2b2o5bo2bo24b3o$bobo22bo$b
o9bo9b2o2bobo$2o19b2o3b2o4$13b2o$13b2o27b2o$43bo$43bob2o$40b2ob2obo$
41bo$39bobo$39b2o!

[cvojan]

P39 monomer reduction via snake:

Code: Select all

x = 35, y = 32, rule = B3/S23
9b2o$8bobo$8bo$3bob2ob2o$3b2obo$6bo$6b2o5$22b2o3b2o$22bobo2b2o$23bo$2o
bo6b3o$ob2o6bo2bo$24bo$12bo11b3o$27bo$24bo$23bo3bo$24bobo$14b2o8b2o$
14b2o8b2o4bobo$19b2o8bo3bo$19b2o6b2o4bo$27b3obob2o$30bo3$25b2o$25b2o!

I suspect there is a smaller stabilization regarding the bookend catalyst
Edit: P141 partial:

Code: Select all

x = 20, y = 23, rule = B3/S23
2o$bo$bobo$2b2o10$8b3o$7bo3bo$7b2ob2o$16b2o$16bobo$18bo$18b2o3$2b3o!

[iNoMed]

Anyway, here's a rather-boring 6-cell reduction to SKOP57 (replacing the 152-cell bumper loop with a 146-cell hotcrystal0-mechanism loop):

Code: Select all

x = 77, y = 74, rule = B3/S23
10bo$9bobo$8bo2bo2$8bobo$7b2o3b2o$7b2o3b2o$8bobobo$12b2o$8bo4bo$10b3o$
7bob2o14bo$6b2o15bobo$24b2o$2o$bo$bobo14b2o$2b2o5bo7bo2bo$6bob2o8b2o$
5bo4bo$5bo$6bo14b2o$21bo$22b3o$24bo$38bo$39b2o$38b2o5$22b3o$22bo$23bo
5$53bo$54bo$52b3o5$37b2o$36b2o$38bo$52bo$52b3o$55bo$54b2o14bo$71bo$66b
o4bo$57b2o8b2obo$56bo2bo7bo5b2o$57b2o14bobo$75bo$75b2o$51b2o$51bobo15b
2o$51bo14b2obo$64b3o$63bo4bo$63b2o$64bobobo$63b2o3b2o$63b2o3b2o$66bobo
2$65bo2bo$65bobo$66bo!

Edit: Same reduction also applies to SKOP69, bringing it down by six cells:

Code: Select all

x = 89, y = 86, rule = B3/S23
10bo$9bobo$8bo2bo2$8bobo$7b2o3b2o$7b2o3b2o$8bobobo$12b2o$8bo4bo$10b3o$
7bob2o$6b2o2$2o26bo$bo24bobo$bobo14b2o7b2o$2b2o5bo7bo2bo$6bob2o8b2o$5b
o4bo$5bo$6bo14b2o$21bo$22b3o$24bo7$44bo$45b2o$44b2o2$25b3o$25bo$26bo
11$62bo$63bo$61b3o2$43b2o$42b2o$44bo7$64bo$64b3o$67bo$66b2o14bo$83bo$
78bo4bo$69b2o8b2obo$68bo2bo7bo5b2o$60b2o7b2o14bobo$60bobo24bo$60bo26b
2o2$81b2o$78b2obo$76b3o$75bo4bo$75b2o$76bobobo$75b2o3b2o$75b2o3b2o$78b
obo2$77bo2bo$77bobo$78bo!

[wwei47]

dr says that a boat, an eater, and some other catalyst will work. I think that Bellman is more likely to find that "other catalyst" though.

Code: Select all

x = 38, y = 25, rule = LifeHistory
29.2A$9.2A17.A2.A$8.A.A18.A.A$8.A13.2A2.4A.2A.2A$3.A.2A.2A12.A2.A6.A.
A.A$3.2A.A16.A.2A2.3A2.A2.A$6.A15.2A4.A2.A.A.2A$6.2A16.4A.A.A2.A$24.A
4.A.2A.A$26.4A3.A$25.2A3.A.A$29.2A.2A$22.2A7.A2.A$22.A.A6.A.A$2A8.3A10.
A3.2A3.A$A2.A6.A.A14.A.A$2.2A6.A.A16.A$29.2A6$14.2A$14.2A!

[C28]

dr says that a boat, an eater, and some other catalyst will work. I think that Bellman is more likely to find that "other catalyst" though.

Code: Select all

x = 38, y = 25, rule = LifeHistory
29.2A$9.2A17.A2.A$8.A.A18.A.A$8.A13.2A2.4A.2A.2A$3.A.2A.2A12.A2.A6.A.
A.A$3.2A.A16.A.2A2.3A2.A2.A$6.A15.2A4.A2.A.A.2A$6.2A16.4A.A.A2.A$24.A
4.A.2A.A$26.4A3.A$25.2A3.A.A$29.2A.2A$22.2A7.A2.A$22.A.A6.A.A$2A8.3A10.
A3.2A3.A$A2.A6.A.A14.A.A$2.2A6.A.A16.A$29.2A6$14.2A$14.2A!

not much better, either...

Code: Select all

x = 31, y = 24, rule = B3/S23
9b2o$8bobo$8bo$3bob2ob2o$3b2obo$6bo$6b2o16b2o3b2o$24bobobobo$26bobo$25b
2ob2o2$22b2o$22bobo$2o8b3o10bo3b2o$o2bo6bobo14bobo$2b2o6bobo16bo$29b2o
6$14b2o$14b2o!

[wwei47]

Is this known?

Code: Select all

x = 32, y = 11, rule = Life
9b2o10b2o$10bo10bo$4b2ob3o12b3ob2o$5bobo16bobo$5bo7b2o11bo$3bobo5bo3b
o10bobo$b3ob2o3bo5bo8b2ob3o$o8b2obo3bo14bo$b3ob2o3bo5bo8b2ob3o$3bob2o
4bo3bo9b2obo$13b2o!

EDIT: Baker's dozen:

Code: Select all

x = 15, y = 21, rule = Life
7bo$6bobo$6bobo$5b2ob2o$2bo$2b5ob2o$6bob2o$2b2o$2bo4bo$obo3bobo$2o4bo
2bo3b2o$7b2o3bobo$12bo$11b2o$5b2obo$5b2ob5o$12bo$5b2ob2o$6bobo$6bobo$
7bo!

[hotdogPi]

Partials:

p12

Code: Select all

x = 16, y = 36, rule = B3/S23
9b3o$10bo2$8b2ob2o$5b2o7b2o$5bo9bo$6b9o2$6b9o$5bo9bo$5b2o7b2o$8b2ob2o
2$10bo$9b3o3$7bo2bo$7bo2bo$9b3o2$7b3ob3o$8b2ob2o$5bo2b2ob2o$4bobob2ob
2o$5bo2b2ob2o$8bo2bo$9b2o2$3bob2o$b3ob2o3b2o$o9b2o$b3ob2o$3bobo$3bobo$
4bo!

p15

Code: Select all

x = 25, y = 11, rule = B3/S23
11bo2bo4bo2bo$9b3o2b6o2b3o$11bo2bo4bo2bo5$16bo$2bo4bo7b3o2bo$2ob4ob2o
4b2o2bobo$2bo4bo6b3o!

p16

Code: Select all

x = 37, y = 30, rule = B3/S23
3b2o5b2o3b2o$bo4bo3b2o3bo2bo$6bo$o6bo5bo5bo$2o4bo5bo6bo$6bo2b2o2bo$3bo
bo3b2o3b2ob2o$4bo11bo$2o$2o3b2o6b2o$5b2o6b2o3b2o$18b2o$3bo11bo$b2ob2o
3b2o3bobo$6bo2b2o2bo$o6bo5bo4b2o$o5bo5bo6bo6bobo6bo$13bo10b3ob3obobobo
$bo2bo3b2o3bo4bo4bo7b2ob2o$3b2o3b2o5b2o7b6o$24bo5b3o$17bo9bo3b2ob2o$
16b3o4b2ob2ob2o3bo$13bob2ob2o3b2ob2ob2o3bo$13bo2b3o8bo3b2ob2o$17bo6bo
5b3o$24b6o$23bo7b2ob2o$24b3ob3obobobo$26bobo6bo!

p25

Code: Select all

x = 39, y = 25, rule = B3/S23
10bo$8b5o$7bo5bo$7bo2b2obo$3bob3obobob2o$3b2o4bo$6b2ob2o$b5obobob2o$o
8bobobo10b2o$2o3b4ob2ob2o9b3o$4bo5bo3bo10b2o6b2o$5b2o7bo7bo9bobo$5b2o
7bo7bo8bo$4bo5bo3bo6bobo6bob2o$2o3b4ob2ob2o7bo7bo3bo2b2o$o8bobobo8bo6b
2o3bo2b2o$b5obobob2o15bo5bo$6b2ob2o17b2obo$3b2o4bo18bo5bo$3bob3obobob
2o14b2o3bo2b2o$7bo2b2obo16bo3bo2b2o$7bo5bo16bob2o$8b5o18bo$10bo21bobo$
33b2o!

p28; simply restore the block; the emulator on the right can be moved one cell up

Code: Select all

x = 25, y = 20, rule = B3/S23
9bo5bo$9b2o3b2o$9b2o3b2o$10bo3bo$b2o$obo9bo9b2o$obob2o6bo9bobo$bobobo
5bobo5b2obobo$3bo8bo6bobobo$3b2o7bo8bo$3b3o14b2o$3b3o13b3o$3b3o13b3o$
3b2o6b2o6b3o$3bo7b2o7b2o$bobobo15bo$obob2o13bobobo$obo16b2obobo$b2o19b
obo$22b2o!

p32; looks quite easy, but I can't find the right p8 or p16

Code: Select all

x = 50, y = 35, rule = B3/S23
3b2o3b2o$3b2o3b2o$13b2o$13b2o3b2o$4b2o7bobo2b2o$2b2obo3b2o3b2o$2b3o4b
2o2$18b2o$5b2o6b2o3b2o$2o3b2o6b2o$2o2$9b2o4b3o$4b2o3b2o3bob2o9bo$2o2bo
bo7b2o17b2o3b2o$2o3b2o18b2o6b2o3b2o$5b2o17b2obo5b2o8b2o$10b2o3b2o6bo3b
o5b3o6bo2b5o$10b2o3b2o6bob2o6bobo7bo2b4o$24b2o6bo2bo3b2o3b3o$32bobo4b
2o$33bo$48b2o$35b2o6b2o3b2o$30b2o3b2o6b2o$19b2o9b2o$15b2o2b2o2b2o21bo$
15bobo2bo2b2o14b2o4bobo$16b3o14b3o3b2o3bo2bo$17b2o11b4o2bo7bobo$30b5o
2bo6b3o$35b2o8b2o$40b2o3b2o$40b2o3b2o!

p33

Code: Select all

x = 44, y = 22, rule = B3/S23
8b2o$8bo$9bo7b2o2b2o$8b2o7b2o$20b3o$20bobo$19bo$5b2o13b4o10bo$5bob2o
11b3o9b3o$2obobobobo21bo3b2o$ob2obobo24b3o2bo$6bo2b3o24bobob2obo$7b2o
3bo21bobobobob2o$9b3o9b3o11b2obo$9bo10b4o13b2o$24bo$21bobo$21b3o$25b2o
7b2o$21b2o2b2o7bo$35bo$34b2o!

unrelated p33

Code: Select all

x = 44, y = 19, rule = B3/S23
4b2o$3bobo2b2o$2bo2bobobo28b2o$2b2obobo26b2o2bobo$5bob2o6b3o10b2o4bobo
bo2bo$2b2obo8bo3bo17bobob2o$o2bobo13bo6b3o6b2obo$2o2bo4b4o3bo3bo4bo3bo
8bob2o$8bo6bobo2bo3bo13bobo2bo$2o2bo4b4o3bo3bo2bo3bo3b4o4bo2b2o$o2bobo
13bo3bo2bobo6bo$2b2obo8bo3bo4bo3bo3b4o4bo2b2o$5bob2o6b3o6bo13bobo2bo$
2b2obobo17bo3bo8bob2o$2bo2bobobo4b2o10b3o6b2obo$3bobo2b2o26bobob2o$4b
2o28bobobo2bo$34b2o2bobo$38b2o!

p40

Code: Select all

x = 22, y = 24, rule = B3/S23
2b2o4b2o$2bobo2bobo$4bo2bo$3bo4bo$3b6o$4b4o3$4bo$6bo$2bo7b2o8b2o$2bo3b
o3b2o8b2o$o2b3o$o11b3o$11b3o$12bo3$14bo$13b3o$12b3o2$5b2o8b2o$5b2o8b2o
!

[JP21]

Is this known?

Code: Select all

rle

EDIT: Baker's dozen:

Code: Select all

rle

Great find! Now there are two different stable stabilizations for the baker's dozen.

Code: Select all

x = 17, y = 20, rule = B3/S23
7bo$6bobo$6bobo$5b2ob2o$2bo$2b5ob2o$6bob2o$2b2o$2bo$obo3b3o$2o4bobo$7b
2o$15b2o$12bobobo$6b2o2bobobo$6b2o7bo$11b2ob2o$12bobo$12bobo$13bo!

[wwei47]

Great find! Now there are two different stable stabilizations for the baker's dozen.

Code: Select all

x = 17, y = 20, rule = B3/S23
7bo$6bobo$6bobo$5b2ob2o$2bo$2b5ob2o$6bob2o$2b2o$2bo$obo3b3o$2o4bobo$7b
2o$15b2o$12bobobo$6b2o2bobobo$6b2o7bo$11b2ob2o$12bobo$12bobo$13bo!

I later found that praosylen found it too.
https://www.conwaylife.com/forums/viewt ... ter#p27084
...
Oh, come on!

Code: Select all

x = 34, y = 24, rule = B3/S23
9b2o$8bobo11bobo$8bo13b2obo$3bob2ob2o15bo$3b2obo15b3ob2o$6bo14bo4bobo
2b2o$6b2o14b3obo2bo2bo$24bo2bobobo$25bobobob2o$26bo3bo$27b2obo$22b2o5b
o$22bobo2b2o3b2o$2o8b3o10bo4bobo2bo$o2bo6bobo11b4o2b2o$2b2o6bobo17bo$
24b2o6bo$21bo3bo5b2o$21b4o2$21b2o$21b2o$14b2o$14b2o!

EDIT: Another variant:

Code: Select all

x = 34, y = 24, rule = B3/S23
9b2o$8bobo$8bo$3bob2ob2o14b2o2b2o$3b2obo15b3obo2bo$6bo14bo4bobo$6b2o
14b3obo2b3o$24bo2bobo2bo$25bobobob2o$26bo3bo$27b2obo$22b2o5bo$22bobo2b
2o3b2o$2o8b3o10bo4bobo2bo$o2bo6bobo11b4o2b2o$2b2o6bobo17bo$24b2o5bo$
21bo3bo4b2o$21b4o2$23b2o$23b2o$14b2o$14b2o!

[iNoMed]

Aaaaanyway, did somebody say "30-cell period-6 oscillator that has absolutely no idea what it's doing"? (found with rlifesrc during a non-serious p6 oscillator search)

Code: Select all

x = 13, y = 12, rule = B3/S23
6b2o$6b2o$3b2o3b2o$8bobo$bobo6bo$o8bo$bo2bo5b3o$4bo7bo$2bo3bo$4b2obo$
7bo$7b2o!

[yujh]

INoMed just found the smallest SKOP117. I guess I will cross post it

Code: Select all

x = 41, y = 40, rule = B3/S23
9b2o$9bobo$9b3o$2o$bo7b2o$bobo4b4o$2b2o3bo3bo$6bo$6bo2bo$6bo$2b2o3bo3b
o$bobo4b4o$bo7b2o$2o$9b3o$9bobo$9b2o3$17bo10b2o3b2o$16b3o9bobo2b2o$15b
o3bo9bo$15b2ob2o$9b2o$8bobo18b3o$8bo$7b2o22bo$31b2o$30bo$33bo$20b2o7bo
3bo$20b2o12b2o$25b2o2b3o5bo$25b2o5bo4b2obo$32bo3bo3bo$32bobo5bo3$31b2o
$31b2o!

[wwei47]

Silly block interactions with 68P9:

Code: Select all

x = 44, y = 25, rule = B3/S23
26b3o10b3o$26bobo10bobo$25b3o12b3o2$24b2o16b2o$25bo2bo10bo2bo$26b3o10b
3o$27bo3bo4bo3bo$b2o10b2o15bo6bo$o2bo8bo2bo11bo3bo4bo3bo$obo10bobo10b
3o10b3o$o14bo4b2o3bo2bo10bo2bo$o2bo8bo2bo4b2o2b2o16b2o$o2bo8bo2bo$ob3o
6b3obo9b3o12b3o$4b2o4b2o14bobo10bobo$4b3o2b3o14b3o10b3o$4b2o4b2o$ob3o
6b3obo$o2bo8bo2bo$o2bo8bo2bo$o14bo$obo10bobo$o2bo8bo2bo$b2o10b2o!

[hotdogPi]

p9 interchange hassler

Code: Select all

x = 38, y = 28, rule = B3/S23
25b2o$22b2o2bo$22bo3bobo$23b3obobo$27bobo$3bo17b4ob2obob2o$2bobo15bo6b
obob2o$2bobo10bo3bobobo5bo$2o2b2o8bobobobo3bo3b2o$bobo6b2o2bobobo6bo$o
2b3o4bobobobob2o11b2o$obo3bo5bobobo2bo5b3o3b2o$bob3obo4bo2bo2bo6b3o4bo
$3bo3bo2bob2obo3bo10b5obo$3bo3bo2bob2obo3bo11b3o3bo$bob3obo4bo2bo2bo6b
3o8bo$obo3bo5bobobo2bo5b3o$o2b3o4bobobobob2o$bobo6b2o2bobobo6bo$2o2b2o
8bobobobo3bo3b2o$2bobo10bo3bobobo5bo$2bobo15bo6bobob2o$3bo17b4ob2obob
2o$27bobo$23b3obobo$22bo3bobo$22b2o2bo$25b2o!

[iNoMed]

I was recently wondering which periods have known oscillators with strict volatility equal to their ordinary volatility. All periods above 42 are covered by snark loops. The only periods for which we don't seem to have examples are 19, 34, 38, 39, 41, and 42. Obviously any prime period oscillator will have this property, so I collected together some examples for composite periods:

Code: Select all

#C Composite period oscillators with strict volatility equal to
#C their ordinary volatility

snip

For periods 4 through 18 I only included a single example. For periods above 18 I included every "basic" example that I know of (not including stable signal circuitry-based oscillators). Any other example would either use one of the oscillators in the collection, or at least would use the same basic components or ideas in its construction. There's a chance that I missed something, especially if it is relatively new. Notably, David Hilbert and dueling banjos are the first examples at periods 23 and 24 respectively and were only found this year.

The "Volatility matches strict volatility" oscillator collection ought to be given a makeover given the massive advancements over the last couple of years... Here's a slight update to this collection that adds p38, p39, p48 and p143 (included because its design is non-adjustable despite containing a large chunk of a pair of Bandersnatches):

Code: Select all

#C Composite period oscillators with strict volatility equal to
#C their ordinary volatility
x = 763, y = 421, rule = B3/S23
361bo4b2o$360bobo2bobo$361bo4bo$2o3b2o125b2obo6b2obo184b2obo4b2obo188b
2o3b2o4b2obo125b2o5b2obo6b2obo19b2o48b2o$2o3b2o125bob2o6bob2o26b2o156b
ob2o4bob2o188b2o3b2o4bob2o126bo5bob2o6bob2o20bo48bo$136b2o2b2o4b2o23bo
bo160b2o6b2o195b2o129bo4b2o4b2o2b2o4b2o18bobo21b2o21bobo$2o3b2o129bo3b
o5bo24bo162bo7bo187b2o3b2o2bo33b3o94b2o3bo5bo3bo5bo20b2o8bo12b2o12b2o
7b2o$obobobo130bo3bo5bo16bo5b2o163bo7bo28b2o156bobobobo3bo22b2o7bo3bo
99bo5bo3bo5bo28b2o26bobo$2bobo25b2o3b2o99b2o2b2o4b2o15bobo6b2o160b2o6b
2o24b2obo2bo157bobo4b2o22b2o7b2ob2o5bob2o84b2o3b2o4b2o2b2o4b2o27b2o29b
o$b2obo26bobobo96b2obo4bo5bo17bo4b3o2bo155b2obo4b2obo25bobo5b5o151b2ob
o6b2obo37b2obo85bo3bo5bo3bo5bo29b2o2b2o22b3o$5b2o24b2ob2o96bob2o5bo5bo
20bo3b2o156bob2o4bob2o25bo3bo5bo2bo154b2o4bob2o125bo5bo5bo3bo5bo$6bo
24bobobo94b2o8b2o4b2o20b4o162b2o6b2o23bo3b2o8bo154bo2b2o4b2o15b2o106b
2o3b2o4b2o2b2o4b2o$5bo24b2o3b2o93bo9bo5bo19b2o3bo162bo7bo25bo8b2o3bo
152bo3bo5bo17bo111bo5bo3bo5bo$5b2o124bo9bo5bo17bobo2bo164bo7bo25bo2bo
5bo3bo152b2o3bo5bo13b3o107b2o4bo5bo3bo5bo28b2o2b2o22b3o$6bo123b2o8b2o
4b2o15bobobobo164b2o6b2o26b5o5bobo153bo2b2o4b2o13bo13bo96bo3b2o4b2o2b
2o4b2o27b2o29bo$5bo126b2obo6b2obo15b3obob2o161b2obo4b2obo33bo2bob2o
153bo5b2obo28bobobob2o89bo6b2obo6b2obo30b2o26bobo$5b2o125bob2o6bob2o
14bo3bobo163bob2o4bob2o34b2o157b2o4bob2o27bob2ob2obo89b2o5bob2o6bob2o
21b2o8bo12b2o12b2o7b2o$160b2o2bobo405bo138bobo21b2o21bobo$165bo405b2o
138bo48bo$710b2o48b2o2$383bo4bo$382bobo2bobo$382b2o4bo8$561b2o$562bo
13b2o$530b2o3b2o4b2obo17bobo11b2o$530b2o3b2o4bob2o18b2o$539b2o4b2o$
530b2o3b2o2bo5bo53b2o$530bobobobo3bo5bo35b2o15bo$532bobo4b2o4b2o22bo
12b2o13bobo115b2o32b2o$531b2obo6b2obo23bobo26b2o116b2o32b2o$535b2o4bob
2o23bobo$536bo2b2o4b2o21b3o$168b2o6bo248b2o108bo3bo5bo17b2o18b2o16b2o
131b2o$2b2obo126b2obo5b2o25bo6bobo152b2obo6b2obo36b2o43bo109b2o3bo5bo
15bobo18b2o16bo68b2o3b2obo6b2obo21b2o4b2o18bo11b2o4b2o$2bob2o126bob2o
6bo17b2o3b2obo7bo153bob2o6bob2o27bo7bobo41bobo110bo2b2o4b2o15bo16b2o
18bobo69bo3bob2o6bob2o21b2o3bobo16b3o10bo2bo3b2o$2o134b2o3bo18bo4bobo
166b2o2b2o29b3o8bo42b2o110bo5b2obo16b2o16b2o18b2o69bo8b2o2b2o4b2o24b3o
13bo16bobo$o31b2o102bo4b2o18b3obo16b2o150bo3bo29bo51bo114b2o4bob2o48b
3o74b2o7bo3bo5bo38b3ob2o15bo$bo30b2o103bo25bob2o14bo2bo150bo3bo28b2o
50bo172bobo84bo3bo5bo37bo3b2o$2o134b2o3b2o38b3o150b2o2b2o35bo35bobo6bo
144b2o26bobo74b2o7b2o2b2o4b2o22bo20bo17bo$2b2obo26bo99b2obo6bo39bo147b
2obo6b2obo31bobo32bo3b2o7b2o139bobo13b2o12bo76bo3b2obo4bo5bo22bobo14bo
3bo17bobo$2bob2o25bobo98bob2o5bo27bo160bob2o6bob2o32b3o3b2o26bo3bo8bob
o138bo15b2o88bo4bob2o5bo5bo21b2o16b4o18b2o$2o4b2o23bo2bo2b2o91b2o9b2o
25b3o163b2o8b2o14b2o20b2o26bo14bo137b2o105b2o7b2o2b2o4b2o$o5bo28bob2o
91bo36bo2bo14b2obo145bo9bo15b2o3b3o26b2o29b2o252bo3bo5bo22b2o16b4o18b
2o$bo5bo25b2o96bo9b2o25b2o16bob3o144bo9bo20bobo26bo14bo188b2o69b2o8bo
3bo5bo21bobo14bo3bo17bobo$2o4b2o122b2o10bo41bobo4bo142b2o8b2o22bo26bob
o8bo3bo175b2o11bobo69bo7b2o2b2o4b2o22bo20bo17bo$2b2obo126b2obo5bo33bo
7bob2o3b2o138b2obo6b2obo30b2o20b2o7b2o3bo175b2o13bo68bo4b2obo6b2obo39b
o3b2o$2bob2o126bob2o5b2o31bobo6bo146bob2o6bob2o31bo24bo6bobo191b2o67b
2o3bob2o6bob2o39b3ob2o15bo$175bo6b2o179bo8b3o25bo314b3o13bo16bobo$362b
obo7bo27bo309b2o3bobo16b3o10bo2bo3b2o$362b2o32b2o312b2o4b2o18bo11b2o4b
2o$395bobo336b2o$395bo$394b2o$715b2o32b2o$715b2o32b2o10$577b2o3b2o3$
568b2o21b2o$568b2o21b2o2$565b2o27b2o$360b2o203b2o9b2o5b2o9b2o$172b2o
51b2o13b2o119bo209b3ob2o7b2ob3o$2b2obo126b2obo6b2obo25bobo51bo15bo88b
2obo6b2obo17bobo168bob2o5b2o27bobo15bobo79b2o2b2o3b2o2b2obo29bo$2bob2o
126bob2o6bob2o17bo5bo4bo51b3o9b3o89bob2o6bob2o18b2o168b2obo6bo27b2o17b
2o80bo2b2o3b2o2bob2o28bobo$2o4b2o128b2o8b2o13b2ob2o2b2obobo14b2o38bo9b
o95b2o2b2o28bo161b2o9bo28bo19bo79bo16b2o26bobo7b2o$o5bo129bo9bo14bo7bo
3bo15bo144bo3bo28b2o162bo9b2o127b2o2b2o3b2o6bo25b3ob2o6b2o$bo5bo28b2o
99bo9bo14bobo24bobo13b3o23bo3bo99bo3bo28bo161bo39bo19bo83bobobobo7bo
23bo19b2o$2o4b2o26bob2o98b2o8b2o42b2o3bo8bo3bo21bobobobo97b2o2b2o190b
2o9b2o26b2o19b2o78b2o4bobo8b2o24b3ob2o13b2o$2b2obo27bo98b2obo6b2obo17b
3o7bo20bob2o6bo4bo16b3obobobobob3o89b2obo6b2obo188bob2o6bo19bo6bo21bo
6bo72bo3b2obo4b2obo28bob2o$2bob2o30bo95bob2o6bob2o18bo7b3o18bo4bo6b2ob
o22bo3bo94bob2o6bob2o188b2obo5bo20bo35bo71bo8b2o2bob2o$2o4b2o24b2obo
94b2o8b2o52bo3bo8bo3b2o121b2o2b2o4b2o190b2o3b2o127b2o8bo6b2o$o5bo25b2o
96bo9bo32bobo19b3o13bobo120bo3bo5bo20bo171bo141bo7bo$bo5bo123bo9bo22bo
3bo7bo36bo121bo3bo5bo19b2o169bo4b2o127b2o7b2o7bo39bo$2o4b2o122b2o8b2o
22bobob2o2b2ob2o36b2o13bo9bo95b2o2b2o4b2o19bo170b2o4bo19bo35bo72bo8bo
6b2o38bobo$2b2obo126b2obo6b2obo17bo4bo5bo51b3o9b3o89b2obo6b2obo26b2o
160bob2o5bo20bo6bo21bo6bo71bo8bo3b2obo39bo2bo$2bob2o126bob2o6bob2o18bo
bo58bo15bo88bob2o6bob2o26bobo159b2obo5b2o26b2o19b2o78b2o7b2o2bob2o40b
2o9b2o$164b2o59b2o13b2o130bo197bo19bo147b2o$372b2o$570bo19bo152bo$570b
2o17b2o125b2o23b3o$570bobo15bobo125b2o22bo$571b3ob2o7b2ob3o150b2o$565b
2o9b2o5b2o9b2o114b2o10b3o21bo$565b2o27b2o114b2o12bo19b3o$723bo19bo$
568b2o21b2o111b2o37b2o$205b2o18b2o341b2o21b2o111b2o4bo$170bo33bo2bo2b
2o8b2o2bo2bo482b2o$170b3o32b2o2bobo8bobo2b2o$173bo17bo15b2o14b2o352b2o
3b2o$172b2o15b3o15bo16bo$188bo15b2obo6bo9bob2o$177bobo8b2o14bo2bob2o3b
2o5b2obo2bo508b2o$179bo26b2ob2o3bo7bob2o511bo4b2o$703b2o37b2o$177b2o5b
o519bo19bo$177bo5b2o516b3o19bo12b2o$206b2ob2o3bo7bob2o475bo21b3o10b2o$
182bo21bo2bob2o3b2o5b2obo2bo478b2o$172b2o8bobo19b2obo6bo9bob2o479bo22b
2o$173bo33bo16bo479b3o23b2o$170b3o15b2o17b2o14b2o343bo25bo109bo$2b2obo
164bo17bo16b2o2bobo8bobo2b2o103b2obo6b2obo188bob2o6bob2o21bobo23bobo$
2bob2o183b3o12bo2bo2b2o8b2o2bo2bo102bob2o6bob2o19b3o30b3o133b2obo6b2ob
o22bo25bo113b2o$2o4b2o24b2o157bo13b2o18b2o107b2o2b2o4b2o184b2o8b2o31bo
15bo118b2o9b2o$o5bo26bo2bo2bo294bo3bo5bo16bo5bo2b2o18b2o2bo5bo130bo9bo
24b5o2b3o11b3o2b5o121bo2bo$bo5bo23bo4b4o295bo3bo5bo15bo4b2o4bo16bo4b2o
4bo129bo9bo24bo4bo5bo9bo5bo4bo120bobo$2o4b2o23b2o301b2o2b2o4b2o15bo11b
o14bo11bo129b2o8b2o22bo2bo7b2o9b2o7bo2bo120bo$2b2obo30b2o292b2obo6b2ob
o28b2o14b2o142bob2o6bob2o15bo2bob2o27b2obo2bo$2bob2o25b2obo2bo292bob2o
6bob2o188b2obo6b2obo14bobobo5bo21bo5bobobo$6b2o22bobobobo297b2o2b2o4b
2o190b2o8b2o13bo2bo4bobo19bobo4bo2bo$6bo23bo3b2o298bo3bo5bo16b2o36b2o
136bo9bo16b2o2bo2bo6bo5bo6bo2bo2b2o130b2obo$7bo23b3o301bo3bo5bo16bo36b
o136bo9bo18bo3b2o6b3o3b3o6b2o3bo116b2o13b2ob3o$6b2o25bo300b2o2b2o4b2o
13b3o38b3o133b2o8b2o16bo33bo115b2o19bo$2b2obo324b2obo6b2obo15bo42bo
129bob2o6bob2o19b3o27b3o123b2o6b2ob3o$2bob2o324bob2o6bob2o188b2obo6b2o
bo22bo25bo126b2o7bobo$567bo2bo21bo2bo134bobo$162b2o403b4o21b4o135bo$
162b2o$569b2o21b2o$160b4o405bo23bo$160bo2bo14b2o390bo21bo$132b2obo4b2o
3b2o31bo390b2o3b2o11b2o3b2o$132bob2o4b2o3b2o29bobo396bo11bo$136b2o32bo
5b2o394b3o13b3o$136bo3b2o3b2o23b2o400bo17bo$137bo2bobobobo15b3o6b2o$
136b2o4bobo18bobo4b2o$132b2obo5b2obo19b2o$132bob2o9b2o583b2o$130b2o14b
o17b2o201b2o361b2o$130bo14bo17bobo4b2o194bobo$131bo13b2o15b3o6b2o157b
2obo6b2obo22bo303b2o4bob2o6b2obo$130b2o14bo23b2o158bob2o6bob2o17bob2ob
2o303bo4b2obo6bob2o28bo24bo$132b2obo9bo24bo5b2o156b2o2b2o4b2o15b2obo
305bo3b2o8b2o32b3o20b3o$132bob2o9b2o29bobo155bo3bo5bo19bo305b2o3bo8bo
36bo10b2o6bo$178bo156bo3bo5bo18b2o27b2o279bo10bo34b2o10bo7b2o$160bo2bo
14b2o154b2o2b2o4b2o47b2o275b2o2b2o8b2o28b2o16bo13b2o$160b4o166b2obo6b
2obo327bo4bob2o6b2obo25bo17bo12bo$330bob2o6bob2o326bo5b2obo6bob2o25bob
o26bobo$162b2o170b2o8b2o324b2o8b2o2b2o4b2o24b2o26b2o$162b2o170bo9bo35b
2o3b2o178b2o114bo2bo5bo$2o5b2obo324bo9bo34bobo2b2o9bo135b2obo4b2o3b2o
18b2o103b2o8bo4bo5bo$bo5bob2o26b2o295b2o8b2o35bo150bob2o4b2o3b2o124bo
8b2o2b2o4b2o$o4b2o4b2o24bobo290b2obo6b2obo14b2obo6b3o24bo2bo6b2obo121b
2o138bo5bob2o6b2obo$2o3bo5bo22bo3b3obo287bob2o6bob2o14bob2o6bo2bo24b3o
6bob2o121bo9b2o3b2o21b2o100b2o4b2obo6bob2o$6bo5bo21bo6b2o342bo145bo8bo
bobobo22b2o8b2o$2o3b2o4b2o21bo3bo331bo9b2o2bobo143b2o10bobo34b2o161bo
2bo$bo3bo5bo18b2o6bo341b2o3b2o145b2obo5b2obo198b3o$o5bo5bo17bob3o3bo
493bob2o9b2o23bobo137b2o38b2o$2o3b2o4b2o20bobo494b2o4b2o8bo22bo3bo136b
2o38b2o$5bo5bo22b2o494bo5bo8bo22bo3bo143b3o$2o4bo5bo359b2o157bo5bo7b2o
20bo3bo144bo2bo$bo3b2o4b2o359b2o27b2o127b2o4b2o8bo21bobo$o6b2obo198bo
192bo129b2obo9bo$2o5bob2o188b2o7bobo191bob2o126bob2o9b2o13b2o$200bo7bo
bo188b2ob2obo154b2o8b2o$200bobo3b2obo8b2o180bo170b2o$201b2o2bo3bobobo
4bo179bobo$178bo27bobobob2o5bo178b2o316b2o26b2o$161b2o13b3o25bobobobo
3b2o2b2o354b2o139bobo26bobo$160bo2bo2b2o7bo28b2o3b2o3bobo357b2o139bo
12bo17bo$132b2obo6bob2o15b2o2bobo7b2o39bob4o492b2o13bo16b2o$132bob2o6b
2obo17b2o50b2obo2bo498b2o7bo10b2o$136b2o2b2o21bo57bob2obo494bo6b2o10bo
$136bo4bo18b2obo9bo46b2obob2o491b3o20b3o$137bo2bo19bo2bob2o5b2o4b2o
538bo24bo$136b2o2b2o20b2obo7bo4b2o22bobo15b3o$132b2obo6bob2o56bo2bo8bo
bo3bo2bo$132bob2o6b2obo50b2o8bo6bo8b2o506b2o$130b2o14b2o48bo2bo3bobo8b
o2bo512b2o$130bo16bo14b2obo7bo23b3o15bobo$131bo14bo13bo2bob2o5b2o$130b
2o14b2o12b2obo9bo19b2obob2o$132b2obo6bob2o17bo13b2o14bob2obo$132bob2o
6b2obo17b2o12bobo18bo2bob2o$161b2o2bobo11bo18b4obo$160bo2bo2b2o2b2o7b
2o22bobo3b2o3b2o$161b2o8bo28b2o2b2o3bobobobo$165bob4o29bo5b2obobobo$
165b2obo32bo4bobobo3bo2b2o144b2o$200b2o8bob2o3bobo143b2o195bo24bo$2o4b
2obo199bobo7bo110b2o3b2o4b2obo185bob2o6b2obo16b3o20b3o$bo4bob2o199bobo
7b2o109b2o3b2o4bob2o185b2obo6bob2o19bo18bo$o9b2o27bo170bo128b2o4b2o27b
o159b2o8b2o16b2o18b2o$2o8bo27b2o290b2o3b2o2bo5bo27bo2bo158bo8bo$11bo
25b2o291bobobobo3bo5bo29bo157bo10bo$2o8b2o24bo295bobo4b2o4b2o25b2obo
158b2o8b2o33bo$bo4b2obo25bob4o290b2obo4bo5bo20b2o4b2o158b2o6b2obo35b2o
$o5bob2o24bobo4bo293b2o3bo5bo17bob2o165bo6bob2o25b2o9bo$2o2b2o27b2obob
2obo2b2o290bo2b2o4b2o16bo168bo5b2o28b2o9bo$4bo27b2o2bob2obob2o290bo3bo
5bo17bo2bo165b2o4bo29bo8bobo$2o3bo30bo4bobo291b2o3bo5bo18bo164b2o7bo
29bo7bobo90b2o3bob2o4bob2o$bo2b2o31b4obo293bo2b2o4b2o184bo6b2o25b2o11b
o92bo3b2obo4b2obo39bobo4bo14bo4bobo$o5b2obo31bo293bo5b2obo185bo9b2obo
21b2o103bo8b2o6b2o37bobo3b3o12b3o3bobo$2o4bob2o29b2o294b2o4bob2o30b2o
153b2o8bob2o126b2o8bo7bo38bo4bo2bo10bo2bo4bo$38b2o335b2o302bo7bo45b3o
10b3o$38bo203b2o323b2o8b2o91b2o7b2o6b2o$241bobo319b2obobo8bobob2o88bo
5b2o6b2o$236b2o2bo322bob2obobo4bobob2obo87bo7bo7bo$236bo2bob2o326b2o4b
2o93b2o5bo7bo33b2o40b2o$238b2obobo433b2o6b2o34bo38bo$132b2obo6b2obo26b
2o11b2o55bo427b2o3b2o6b2o34b2o40b2o$132bob2o6bob2o26b2o3bo3bo3b2o484bo
4bo7bo$136b2o2b2o35bo3bo488bo4bo7bo$136bo3bo36bo3bo488b2o3b2o6b2o$137b
o3bo29bo15bo51b2o479b2o38b2o$136b2o2b2o28bobo13bobo49bo2bo477b2obo36bo
b2o$132b2obo6b2obo25bo4bo5bo4bo51bobo478bobo36bobo$132bob2o6bob2o29b3o
3b3o55bobo479b2o36b2o$130b2o8b2o4b2o92bo4b2o$130bo9bo5bo79bo18bobo$
131bo9bo5bo17bo27bo30b3o20bo$130b2o8b2o4b2o16bobo25bobo28bo23b2o$132b
2obo6b2obo14b2o3bo27bo3b2o24b2o$132bob2o6bob2o14b2o35b2o42bobo$176b2o
3b2o27b2o2bo13b2o12b2o$167bo9bo3bo9bo18bo2bobo13b2o11bo$166b2o6bo9bo6b
2o18bob2o5b3o5bo135b2o$161b3o3bo6b2o7b2o6bo3b3o14bo6bo3bo141bo3b2o203b
o$213b2o4bob2o141bo4b2o203b3o144b2o36b2o$214bo5bo143b2o211bo142bobo36b
obo$2o3b2o3b2o200bo117b2o3b2o2b2o3b2o20bo165b2obo4bob2o32b2o141b2obo
36bob2o$bo3b2o3b2o149b3o3bo6b2o7b2o6bo3b3o14b2o45b2o69b2o3b2o2b2o3b2o
18b3o165bob2o4b2obo176b2o38b2o$o37b2o126b2o6bo9bo6b2o67bo102bo166b2o4b
2o6b2o38b2o$2o3b2o3b2o22b2obo2bo126bo9bo3bo9bo60bo5bo71b2o3b2o2b2o3b2o
17b2o6bobo156bo5bo8bo38b2o8b2o$5bobobobo21bobob2obo135b2o3b2o67b2obo4b
2o70bobobobo2bobobobo26b2o157bo5bo6bo49b2o$2o5bobo23bo3bo2b2o118b2o35b
2o50bo3bo6bo71bobo6bobo28bo157b2o4b2o6b2o34bo138b2o40b2o$bo4b2obo20b2o
bo3bobo2bo117b2o3bo27bo3b2o45bo5b3o5b2obo69b2obo5b2obo188b2obo6b2o35bo
bo139bo38bo$o9b2o18bo2b2o2bobob2o121bobo25bobo35bo11b2o13bobo2bo72b2o
7b2o186bob2o7bo34bo2bo137b2o40b2o$2o9bo19b2o2bobobo125bo27bo35b2o12b2o
13bo2b2o73bo8bo184b2o4b2o4bo36b2o$10bo21bob2obobo189bobo103bo8bo185bo
5bo5b2o$2o8b2o20bo2bob2o209b2o85b2o7b2o185bo5bo2b2o22bo$bo9bo21b2o140b
3o3b3o40b2o23bo86bo8bo184b2o4b2o3bo21bobo167b3o10b3o$o9bo160bo4bo5bo4b
o37bo20b3o86bo8bo187b2obo4bo23bo162bo4bo2bo10bo2bo4bo$2o8b2o158bobo13b
obo36bobo18bo88b2o7b2o51b2o133bob2o4b2o44b2o138bobo3b3o12b3o3bobo$171b
o15bo38b2o4bo149bobo14bo185bo2bo137bobo4bo14bo4bobo$177bo3bo49bobo143b
o5b2o12b2obo184bo$177bo3bo49bobo143b3o3bo15bobo158b2o4b3o16bo4bo$172b
2o3bo3bo3b2o44bo2bo134b3o8bo18bobo158b2o4bo3bo15bo3bo4b2o$172b2o11b2o
45b2o134bo2bo7b2o185bo4bo16b3o4b2o$371bo13bo185bo$367bo3bo14bo181bo2bo
$371bo12b2o183b2o$230bo137bobo13bobo22b2o181bo$229bobob2o174bo181bobo$
230b2obo2bo140b3o5bobo19bobo182bo$232bo2b2o140bo2bo5bo20b2o$229bobo
131bob2o11b2o6bo7b3o179b2o$229b2o130b3ob2o26bo3bo13b2o162bo2bo$360bo
32b2ob2o13bobo161bobo$361b3ob2o9b2o48bo149bo$363bobo13b2o44bobo133b2o$
363bobo44b2o13bobo133b2o8b2o$364bo48b2o9b2ob3o141b2o$377bobo13b2ob2o
32bo$378b2o13bo3bo26b2ob3o149b2o$394b3o7bo6b2o11b2obo151bo$175b2o205b
2o20bo5bo2bo166b3o$175b2o204bobo19bobo5b3o168bo$381bo$380b2o22bobo13bo
bo$2o5bob2o121b2obo4bob2o61b2o198b2o12bo$bo5b2obo121bob2o4b2obo62bo14b
2o181bo14bo3bo$o4b2o129b2o6b2o27b2o31bobo12bobob2o178bo13bo$2o4bo129bo
8bo28b2o31b2o14bobo184b2o7bo2bo$5bo131bo6bo25bo4bo46b2obo163bobo18bo8b
3o$2o3b2o129b2o6b2o24bo3bo46bo3bob2o160bobo15bo3b3o$bo5bob2o24bo4bo91b
2obo6b2o26b2o7b3o20b2o8bo9b2obo2bo161bob2o12b2o5bo$o6b2obo22b2ob4ob2o
89bob2o7bo35bo22bobo6b3o8b2o2b2o163bo14bobo$2o9b2o22bo4bo89b2o10bo61bo
19b2o166b2o$12bo117bo11b2o16b2o21bo20b2o19bo$2o9bo119bo8b2o18b2o5b2o
11bob2o18b2o2b2o8b3o6bobo304b2obo6b2obo19b2o16b2o$bo9b2o117b2o9bo24b2o
bo11b2o5b2o11bo2bob2o9bo8b2o304bob2o6bob2o20bo16bo$o6bob2o121b2obo4bo
25bo21b2o11b2obo3bo321b2o4b2o2b2o4b2o18bobo12bobo$2o5b2obo121bob2o4b2o
62bob2o322bo5bo3bo5bo20b2o12b2o$170bo33bobo14b2o308bo5bo3bo5bo$168b3o
7b2o23b2obobo12bobo306b2o4b2o2b2o4b2o16b2o18b2o$175bo3bo27b2o14bo194bo
113b2obo4bo5bo17bobo10b2o4bobo$174bo4bo43b2o192b2o113bob2o5bo5bo17bo
10bobo5bo$174b2o241bobo6b2o108b2o2b2o4b2o14bo13b2o9bo$175b2o250bo108bo
3bo5bo15b6o8bo5b6o$424b3o110bo3bo5bo19bo14bo$424bo111b2o2b2o4b2o16b2o
18b2o$425b2o105b2obo6b2obo18bo20bo$420b2o4bo105bob2o6bob2o19bo18bo$
173b2o245b2o3bo136b3o2bo14bo2b3o$173b2o250b2o135bo2b3o8bo5b3o2bo$563bo
12b2o8bo$564b2o10bobo5b2o$566bo10b2o4bo$564b2o18b2o$561bo2bo20bo2bo$
560bobobo2b2o12b2o2bobobo$561bo2bobobo12bobobo2bo$564bobo16bobo$565b2o
16b2o$205b2o12b2o$205b2o12b2o2$382b2o43b2o$382bobo42bo$2o5b2obo121b2ob
o6b2obo184b2o3b2o4b2obo39bo2b2o35b2obo$bo5bob2o121bob2o6bob2o61b2o8b2o
111b2o3b2o4bob2o23b2o13b2obobo35bobo4b2o$o4b2o28bo3bo96b2o2b2o4b2o14b
2o11b2o29bo2bo6bo2bo119b2o28bo16bo44bo$2o3bo27b2obobob2o94bo3bo5bo15b
2o3bo3bo3b2o29bo12bo110b2o3b2o2bo29bobo11b4o42bobo$6bo25bo3bobo3bo94bo
3bo5bo19bo3bo34bo12bo110bobobobo3bo29b2o11bo3b2o40b2o$2o3b2o24bo3b2ob
2o3bo92b2o2b2o4b2o19bo3bo23b2o10bo10bo10b2o101bobo4b2o43b3o2bo$bo5b2ob
o20bobo7bobo88b2obo6b2obo15bo15bo17b2o5b3o16b3o5b2o100b2obo6b2obo41bob
2o$o6bob2o21bo9bo89bob2o6bob2o14bobo13bobo22bo3bo14bo3bo110b2o4bob2o
19bo21bo188bo7b2o$2o3b2o4b2o117b2o8b2o4b2o13bo15bo23bo22bo111bo8b2o17b
3o18b2o188b3o5b2o7bo$5bo5bo23b2ob2o90bo9bo5bo18b3o3b3o28bo20bo111bo9bo
21bo55bo2bo142bo8bo11b3o$2o4bo5bo21bobobobo90bo9bo5bo18bo5bo162b2o9bo
13b2o4b2o8b2o41b2o2bo2bo105b2obo4b2o3b2o22b3o5b2o10bo$bo3b2o4b2o22bo3b
o90b2o8b2o4b2o188bo8b2o14bo13bo2bo40b2o2bo2bo7b2o96bob2o4b2o3b2o25bo
16b2o$o6b2obo121b2obo6b2obo189bo5b2obo16bobo12bobo55b2o94b2o4b2o33b2o$
2o5bob2o121bob2o6bob2o15bo15bo157b2o4bob2o17b2o12b3o30bo120bo5bo3b2o3b
2o$160bobo13bobo189b3o12b2o24b3o119bo5bo2bobobobo$160bo2bo11bo2bo189bo
bo12bobo26bo21b3o93b2o4b2o4bobo46b2ob2o$167bo3bo30bo20bo144bo2bo13bo
25b2o31b2o86b2obo5b2obo16b2o28b2obo2bo$167bo3bo29bo22bo144b2o8b2o4b2o
19bo38bo86bob2o9b2o13bo2bo2b2o26bob2o$161bo2bo2bo3bo2bo2bo23bo3bo14bo
3bo154bo26b3o25b3o7bo91b2o8bo14b2o2bobo26bo$162b2o11b2o18b2o5b3o16b3o
5b2o129b2o18b3o26bo7b3o25b3o88bo8bo17b2o28b2o$195b2o10bo10bo10b2o129bo
21bo25bo38bo89bo7b2o16bo13bo12bobo2b2o$206bo12bo137b2obo47b2o31b2o93b
2o8bo13b2obo12bobo11b2o2bo2bo$206bo12bo137bo2b3o54b3o21bo90b2obo9bo14b
o2bob2o8bo3bo15b2o$206bo2bo6bo2bo138b2o3bo11b2o65b3o87bob2o9b2o15b2ob
2o8bo3bo$207b2o8b2o141b4o11bobo66bo130bo3bo$360bo16bo40b2o156bobo$358b
obob2o13b2o39b2o7bo2bo2b2o142bo7b2o$358b2o2bo64bo2bo2b2o132b2o16bo$
362bobo62bo2bo137bo10b2o5b3o$205b2o12b2o142b2o200b3o11bo8bo$205b2o12b
2o344bo7b2o5b3o$573b2o7bo2$423b2o$422bobo$422bo$421b2o4bobo$48bo377bob
2o$46b3o377bo$45bo379b2o$2o5b2obo34b2o83b2obo6b2obo106b2o$bo5bob2o119b
ob2o6bob2o61b2o43bobo$o4b2o4b2o121b2o2b2o4b2o50bo14bo40bo$2o3bo5bo122b
o3bo5bo50bobo4bo7bobo35b4ob2o$6bo5bo122bo3bo5bo24bo25bo4b2o8bo18bo17bo
2bobobo$2o3b2o4b2o29b3o89b2o2b2o4b2o22bobo31bo27b3o20bobo$bo5b2obo30bo
3bo84b2obo4bo5bo16b2o4bobo11b2o50bo19bo2b2o$o6bob2o33bo12b2o71bob2o5bo
5bo15b2o3bo2bo11b2o49b2o18b2o4bo$2o3b2o4b2o26bo4bo12bo76b2o2b2o4b2o21b
obo84b5o$5bo5bo26bo16bobo76bo3bo5bo23bobo31bo51bo4b2o$2o4bo5bo25bo10bo
5b2o78bo3bo5bo24bo25bo4b2o8bo45b2o2bo$bo3b2o4b2o25bob2o5b2obo83b2o2b2o
4b2o49bobo4bo7bobo45bob2o$o6b2obo21b2o5bo10bo79b2obo6b2obo52bo14bo14b
2o8b2o9b2ob3o5bo$2o5bob2o20bobo16bo79bob2o6bob2o61b2o19bo5b3ob2o9b2o8b
2o$31bo12bo4bo173b2obo$30b2o12bo178bo2b2o$43bo3bo176b2o4bo$44b3o179b5o
$226bo4b2o18b2o$227b2o2bo19bo$229bobo20b3o$229bobobo2bo17bo$42b2o186b
2ob4o$43bo188bo$40b3o189bobo$40bo192b2o13$170b2o$170bo$130b2obo6b2obo
18bob2ob2obo5b2o$130bob2o6bob2o18b2obobobo6bo$134b2o8b2o22bo8bo$134bo
9bo31b2o$135bo9bo$134b2o8b2o30b2o$130b2obo6b2obo16bo10bo3bobo$130bob2o
6bob2o16b3o7b3o3bo$134b2o2b2o23bo6bobo4b3o$134bo3bo23bobo14bo$135bo3bo
22b2o$134b2o2b2o$130b2obo6b2obo18b2o$130bob2o6bob2o18bo8bo$163bo6bobob
ob2o$162b2o5bob2ob2obo$169bo$168b2o!

[83bismuth38]

Code: Select all

x = 63, y = 20, rule = B3/S23
43bo$42bobo$42bobo$41b2ob2o$40bo5bo$3bob2o33bo5bo$3bob2o33bo5bo10bo$2b
2o4bo18bo4bo6bo2b3o2bo8bobo$2bob3obo18bo4bo23bobo$2o8bo16bo4bo5b3o5b3o
6b2ob2o$bo8bo4b2o12b2o6b3o7b3o$3b4obo10b3o4b2o4b2o5bo7bo6b2obob2o$bo6b
2o4bo2bo4bo3b8o7bobobo6b2obobobob2o$3b4obo7b3o3bo4b6o6bobo3bobo7bo3bo$
bo8bo2bobo6b2o18bobo8bob2ob2obo$2o8bo2bo3bobo3bo2bo6bo5bo2bobo2bo5bo3b
o3bo$2bob3obo5b4ob4o3bobo2bobo7b2ob2o9b2ob2o$2b2o4bo20b2o11bobo11bobo$
3bob2o7b2o5b2o4b2o2b2o9bobo11bobo$3bob2o7b2o5b2o4bo4bo10bo13bo!

some (likely) new p4s.
#2 has delayed dominos, clairvoyantly bespoke-style.
#3 is a new smiling oscillator!
#4 has a motif found in other, already known, p4s- but it's facing outwards instead of inwards. see:

Code: Select all

x = 38, y = 13, rule = B3/S23
7bo19bo$5bob4o16b2o$3bo3b2o3bo9bobob3obo$bobo4bo3bobo13bo2b3o$2bo10bo
7bo2b2o8bo$o2b3o4b3o2bo3b5o6bo3b3o$b2o3bo2bo3b2o3bo6bo4bo6bo$o2b3o4b3o
2bo3b5o6bo3b3o$2bo10bo7bo2b2o8bo$bobo4bo3bobo13bo2b3o$3bo3b2o3bo9bobob
3obo$5bob4o16b2o$7bo19bo!

[Scorbie]

Some cursed-looking p6 supported by some other p6 I've seen before:

Code: Select all

x = 33, y = 10, rule = B3/S23
21bo7bo$3b3o5b2o7bobo4b2obo$b3obo4b5obob2obo3b3obo2bo$obo2b3o2b6o2bo2b
ob3obobob2o$o4bobo7bobo3bobobobobo$b5obobo5bob4o2bob2o2bo$6bobobob2ob
2o3bobobo4b2o$ob2o2bobobobobo3b2o2bobo$2obo3b2ob2o3b3o4b2o$17bo!