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Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Oscillator Discussion Thread

Postby 2718281828 » October 26th, 2018, 9:07 pm

A simple blinker hassler, period 80, but unfortunately not the smallest one:
x = 43, y = 17, rule = b3/s23
13b2o13b2o$13b2o13b2o2$13bo15bo$14bo13bo$10b2o3bo11bo3b2o$15bo11bo$13b
o7b3o5bo$b3o8b3o13b3o8b3o$2bo37bo$o41bo$o3b2o31b2o3bo$bo39bo$2bo37bo2$
b2o37b2o$b2o37b2o!

It also works with p40,e.g.:
x = 43, y = 17, rule = b3/s23
14b2o13b2o$14b2o13b2o3$38bo$37bobo$2b2o11b3o13b2o3bo$b2obo8b2o2bo4b3o
5bo2bo$2bob2o6b2obo14b2ob2o2b2ob2o$o2b2o8bob2o21bo2bo$3o11b2o19bo3b2o$
32bobo$33bo3$2b2o37b2o$2b2o37b2o!

The spark might be useful.
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Re: Oscillator Discussion Thread

Postby Jormungant » October 27th, 2018, 3:41 am

Kazyan wrote:You can almost get a second glider out this way, but patching up the internal debris has to get creative:

x = 52, y = 17, rule = B3/S23
16bo$15bobo6b2o3b2o$16bo8bo4bo2b2o$25bob3o3bo4b2o3b2o4bo$22b2obobo6bo
3bobobo2bo2bobo$22bobo8b2o5bob3o3bo2bo$15b2o22b2o4b3obobo$5b2o8b2o9b2o
4bo6bob3o3bob2o$4bo2bo13bo3b2obo3b2o2b3obo4b3o$5b2o13bob2obo2b2o4bobo
4b3o3bob2o$20bob2o10bo2b4o4b3obobo$15b3o10bob2o2bobo3bob3o3bo2bo$2b2o
11bo10bo2bobo2bobob2o2bo2bo2bobo$3bo12bo9b3o2b4obobo3bobo4bo$3o26b2o4b
o2bo4bo$o27bo3bo2bobo$28b2ob2o3bo!


well here is some creativity: (non-syringe variable gun)
x = 172, y = 152, rule = LifeHistory
126.4B$125.4B$124.4B$123.4B$122.4B$121.4B$120.4B$119.4B$118.4B$117.4B
$116.4B$115.4B$22.A91.4B$21.A.A6.2A3.2A76.4B$20.2BAB7.A4.A2.2A71.4B$
21.2B8.A.3A3.A4.2A3.2A4.A55.4B$20.3B5.2A.A.A6.A3.A.A.A2.A2.A.A53.4B$
19.4B5.A.A8.2A5.A.3A3.A2.A51.4B$19.2B2A2B4.B.2B.B4.B5.2A4.3A.A.A50.4B
$19.2B2A2B3.4B2A2B.BAB3.2BA.3AB2.A.2A50.4B$17.8B2.A3B2A.A3B2A.B3ABAB
2.B3AB51.4B$15.11BAB2ABA2B2AB.2BA.AB3.3AB2.A.2A48.4B$15.10B.AB2A10BA
2B4A4.3A.A.A46.4B$15.11B2.2B2.2BAB2A2BABA3.A.3A3.A2.A45.4B$13.2AB.8B
6.BA2.ABA2.A.A.2A2.A2.A2.A.A45.4B$12.A.AB.9B6.3A2.4A.A.A3.A.A4.A45.4B
$12.A6.8B8.2A4.A2.A4.A50.4B$11.2A6.4B.4B6.A3.A2.A.A55.4B$20.4B.4B5.2A
.2A3.A55.4B$21.4B.4B67.4B$22.4B.2B2A65.4B$23.4B.BABA63.4B$24.4B.A3B
61.4B$25.4B.4B59.4B$26.4B.4B33.2A22.2A2B$27.4B.4B33.A21.2B2A$28.4B.4B
31.A21.2BAB$29.4B.4B30.4A5.2A10.4B$30.4B.4B32.A4.B2A2B7.4B$31.4B.4B
26.3AB7.4B6.4B$32.4B.4B22.A.A2.AB8.3B5.4B$33.4B.4B19.3A.2A2.3B5.3B5.
4B$34.4B.4B17.A4.B3.4B2.7B2.4B$35.4B.4B17.3AB2AB.18B$36.4B.4B18.A.2AB
.17B$37.4B.4B19.20B$38.4B.4B20.18B$39.4B.4B17.19B$40.4B.4B14.21B$41.
4B.4B13.21B$42.4B.4B13.20B$43.4B.4B14.17B$44.4B.4B14.B.14B$45.4B.4B
17.12B$46.4B.4B16.13B$47.4B.4B14.15B$48.4B.4B13.16B$49.4B.4B12.17B$
50.4B.4B11.16B$51.4B.4B12.13B$52.4B.4B15.2B2A5B$53.4B.4B14.2B2A3B$54.
4B.4B12.8B$55.4B.4B12.2B3D3B6.A$56.4B.4B11.3BD4B5.A.A6.2A3.2A$57.4B.
4B11.2B3D2B4.2BAB7.A4.A2.2A$58.4B.4B10.7B5.2B8.A.3A3.A4.2A3.2A4.A$59.
4B.4B9.6B5.3B5.2A.A.A6.A3.A.A.A2.A2.A.A$60.4B.4B8.8B2.4B5.A.A8.2A5.A.
3A3.A2.A$61.4B.4B7.9B.2B2A2B4.B.2B.B4.B5.2A4.3A.A.A$62.4B.4B5.10B.2B
2A2B3.4B2A2B.BAB3.2BA.3AB2.A.2A$63.4B.4B5.16B2.A3B2A.A3B2A.B3ABAB2.B
3AB$64.4B.4B3.18BAB2ABA2B2AB.2BA.AB3.3AB2.A.2A$65.4B.4B2.17B.AB2A10BA
2B4A4.3A.A.A$52.A3.2A.2A5.4B.4B.18B2.2B2.2BAB2A2BABA3.A.3A3.A2.A$51.A
.A2.A3.A6.4B.4B.B2C13B6.BA2.ABA2.A.A.2A2.A2.A2.A.A$45.A4.A2.A4.2A8.8B
.B2C14B6.3A2.4A.A.A3.A.A4.A$39.A4.A.A3.A.A.4A2.3A6.14B2DB.8B8.2A4.A2.
A4.A$38.A.A2.A2.A2.2A.A.A2.ABA2.AB6.13B2DB.4B.4B6.A3.A2.A.A$37.A2.A3.
3A.A3.ABA2B2ABA2B2.2B2.18B.4B.4B5.2A.2A3.A$37.A.A.3A4.4A2BA10B2ABA.
17B2.4B.4B$38.2A.A2.B3A3.BA.A2B.B2A2BAB2ABA18B3.4B.2B2A$40.B3AB2.BAB
3AB.2A3BA.2A3BA2.16B5.4B.BABA$38.2A.A2.B3A.A2B3.BAB.2B2A4B3.2B2A2B.
10B5.4B.A3B$37.A.A.3A4.2A5.B4.B.2B.B4.2B2A2B.9B7.4B.4B$37.A2.A3.3A.A
5.2A8.A.A5.4B2.8B8.4B.4B$38.A.A2.A2.A.A.A3.A6.A.A.2A5.3B5.6B9.4B.4B$
39.A4.2A3.2A4.A3.3A.A8.2B5.7B10.4B.4B$54.2A2.A4.A7.BA2B4.2B3D2B11.4B.
4B$58.2A3.2A6.A.A5.4BD3B11.4B.4B$72.A6.3B3D2B12.4B.4B$80.8B12.4B.4B$
80.3B2A2B14.4B.4B$78.5B2A2B15.4B.4B$78.13B12.4B.4B$77.16B11.4B.4B$76.
17B12.4B.4B$77.16B13.4B.4B$78.15B14.4B.4B$79.13B16.4B.4B$80.12B17.4B.
4B$80.14B.B14.4B.4B$80.17B14.4B.4B$79.20B13.4B.4B$79.21B13.4B.4B$79.
21B14.4B.4B$79.19B17.4B.4B$78.18B20.4B.4B$78.20B19.4B.4B$77.17B.B2A.A
18.4B.4B$76.18B.B2AB3A17.4B.4B$75.4B2.7B2.4B3.B4.A17.4B.4B$74.4B5.3B
5.3B2.2A.3A19.4B.4B$73.4B5.3B8.BA2.A.A22.4B.4B$72.4B6.4B7.B3A26.4B.4B
$71.4B7.2B2AB4.A32.4B.4B$70.4B10.2A5.4A30.4B.4B$69.4B21.A31.4B.4B$68.
4B21.A33.4B.4B$67.4B22.2A33.4B.4B$66.4B59.4B.4B$65.4B61.4B.4B$64.4B
63.4B.4B$63.4B65.4B.4B3.B$62.4B67.4B.4B2.B$61.4B55.A3.2A.2A5.4B.4B.B$
60.4B55.A.A2.A3.A6.4B.4B6.2A$59.4B50.A4.A2.A4.2A8.8B6.A$58.4B45.A4.A.
A3.A.A.4A2.3A6.9B.BA.A$57.4B45.A.A2.A2.A2.2A.A.A2.ABA2.AB6.8B.B2A$56.
4B45.A2.A3.3A.A3.ABA2B2ABA2B2.2B2.11B$55.4B46.A.A.3A4.4A2BA10B2ABA.
10B$54.4B48.2A.A2.B3A3.BA.A2B.B2A2BAB2ABA11B$53.4B51.B3AB2.BAB3AB.2A
3BA.2A3BA2.8B$52.4B50.2A.A2.B3A.A2B3.BAB.2B2A4B3.2B2A2B$51.4B50.A.A.
3A4.2A5.B4.B.2B.B4.2B2A2B$50.4B51.A2.A3.3A.A5.2A8.A.A5.4B$49.4B53.A.A
2.A2.A.A.A3.A6.A.A.2A5.3B$48.4B55.A4.2A3.2A4.A3.3A.A8.2B$47.4B71.2A2.
A4.A7.BA2B$46.4B76.2A3.2A6.A.A$45.4B91.A$44.4B$43.4B$42.4B$41.4B$40.
4B$39.4B$38.4B$37.4B$36.4B$35.4B!

but that's not quite compact ^^
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Re: Oscillator Discussion Thread

Postby Kazyan » October 28th, 2018, 1:07 am

Awesome! Trombone slide guns without a syringe!

Unrelated, here's another p36 honey farm hassler. It's likely that there's a more compact version and/or one with only still lifes to support it:

x = 34, y = 26, rule = B3/S23
20bo$19bobo$18bobo2bo$16b3o2b2obo$9bo5bo3b2o3bo2b2o$9b3o4b3o2b3o3b2o$
12bo5bobo$11b2o6bobo$20bo7bo$2b2ob2o21b3o$3bobo20b2o3bo$3bo2bo8bo9bobo
b2obo$2obo10bobo9bobobobo$bobobobo6bobo13bob2o$bob2obobo5b2o11bo2bo$2b
o3b2o20bobo$3b3o21b2ob2o$5bo7bo$12bobo6b2o$13bobo5bo$5b2o3b3o2b3o4b3o$
5b2o2bo3b2o3bo5bo$9bob2o2b3o$10bo2bobo$12bobo$13bo!
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Re: Oscillator Discussion Thread

Postby Sokwe » October 28th, 2018, 4:41 am

Kazyan wrote:here's another p36 honey farm hassler.

Cool! I've seen that big still life before, but I don't remember seeing it hassle a honeyfarm in that way. I'm guessing this was also discovered by hand. If by-hand searches can be so lucrative, I have high hopes for further automated searches.

I noticed that the blocker in the new p40 honeyfarm hassler could be replaced by a figure eight:
x = 37, y = 29, rule = B3/S23
24b2o$22bob2o$6b2o13bo$6b2obo14bo$10bo9b2obo$7bo12b2o$8bob2o20b2o$10b
2o17bo$28bobo2b2o$26bobob3o2bo$26bo2b6o$2b4o9b3o11b2ob2o$bo4bob2o4bo3b
o9b6o2bo$bo4bo3bo2bo5bo7bo2b3obobo$4b2o4bo2bo5bo8b2o2bobo$b2o4bo2bo2bo
5bo13bo$o2bo3bo2bo3bo3bo10b2o$o2bo4b2o5b3o$o4b2o$o3bo4bo$b2obo4bo$5b4o
5b3o$17bo7b2o$13bo3bo3b4o4b2o$12bobo2bo3b3ob2o2b2o$10bo2bobo10bo$10bo
3bo$10bo$11b3o!


Also, a new p16 oscillator was found by the mysterious "carybe" on Oct 22, 2018 (mentioned here):
x = 20, y = 20, rule = B3/S23
10b2o3b2o$10b2o3b2o$6bo$2o3b2o$2o2bo10bo$5bo3b2o2b2obo$5bo3bo6b2o2$2o$
2o3bo7b2o$5b2o7bo3b2o$18b2o2$2b2o6bo3bo$3bob2o2b2o3bo$4bo10bo2b2o$13b
2o3b2o$13bo$3b2o3b2o$3b2o3b2o!

It has some fairly strong sparks, but I don't know of any particular uses for it.
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Re: Oscillator Discussion Thread

Postby BlinkerSpawn » October 28th, 2018, 9:10 am

Kazyan wrote:Unrelated, here's another p36 honey farm hassler. It's likely that there's a more compact version and/or one with only still lifes to support it:

rle

Nice oscillator!
Sadly, this mazing doesn't quite pass muster:
x = 29, y = 26, rule = B3/S23
10bo$9bobo$7bo2bobo$6bob2o2b3o$2b2o2bo3b2o3bo5bo$2b2o3b3o2b3o4b3o$10bo
bo5bo$9bobo6b2o$10bo$2bo21bo$bobo19bobo$15bo$2o3bo8bobo5b2o3bo$o5bo7bo
bo5bo5bo$3bobo9b2o8bobo$2b2o20b2o2$17bo$8b2o6bobo$9bo5bobo$6b3o4b3o2b
3o3b2o$6bo5bo3b2o3bo2b2o$13b3o2b2obo$15bobo2bo$16bobo$17bo!

(Notice it's not actually broken at gen 10)
Messing around with a unix didn't produce any results wither, and I'm not sure what other smaller options exist.
EDIT: As for still life supports, it'd definitely require a custom catalyst; the standard interactions either get interfered with or interfere with something else.
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Re: Oscillator Discussion Thread

Postby 2718281828 » November 5th, 2018, 1:42 pm

The new p64, is somehow related to the thunderbird:
x = 44, y = 27, rule = B3/S23
5b2o$5b2obo$9bo$6bo$7bob2o$9b2o6$14bo$2bo5b2o3bobo17bobo$2bo4bo2bobo3b
o14b2o2bo$2bo5b2o3bobo17bobo$14bo6$9b2o$7bob2o$6bo$9bo$5b2obo$5b2o!
#C [[ STOP 56 ]]

This might be taken into account for finding a name.
This pattern by itself evolves as follows:
x = 9, y = 5, rule = B3/S23
5b2o$4bo2bo$9o$4bo2bo$5b2o!
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Re: Oscillator Discussion Thread

Postby Extrementhusiast » November 5th, 2018, 4:44 pm

2718281828 wrote:The new p64, is somehow related to the thunderbird:
RLE

This might be taken into account for finding a name.


Hearing that, my mind immediately jumps to Firefox, also made by Mozilla.
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Re: Oscillator Discussion Thread

Postby A for awesome » November 5th, 2018, 11:40 pm

Cross-posting yet another new p30 shuttle variant by carybe from here.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Oscillator Discussion Thread

Postby 2718281828 » November 8th, 2018, 5:10 pm

112P51 can hassle a hive:
A 'symmetric' p102 option:
x = 87, y = 55, rule = B3/S23
5$58bo11bo$52b2o3bob2o7b2obo3b2o$52b2o5b2o7b2o5b2o$57bob2o7b2obo$49b2o
6b2o11b2o6b2o$49b2o6b2o3bo3bo3b2o6b2o$61b3ob3o$63bobo2$49bob3o21b3obo$
12bo11bo23bo3b2o21b2o3bo$6b2o3bob2o7b2obo3b2o18b3o25b3o$6b2o5b2o7b2o5b
2o18b3o25b3o$11bob2o7b2obo28bo19bo$3b2o6b2o11b2o6b2o19b2o19b2o$3b2o6b
2o3bo3bo3b2o6b2o20b2o17b2o$15b3ob3o$17bobo34b2o17b2o$53b2o19b2o$3bob3o
21b3obo20bo19bo$2bo3b2o21b2o3bo6bo7b3o25b3o$3b3o25b3o6bobo6b3o25b3o$3b
3o25b3o6bobo5bo3b2o21b2o3bo$8bo19bo12bo7bob3o21b3obo$7b2o19b2o$8b2o17b
2o34bobo$61b3ob3o$8b2o17b2o20b2o6b2o3bo3bo3b2o6b2o$7b2o19b2o19b2o6b2o
11b2o6b2o$8bo19bo28bob2o7b2obo$3b3o25b3o18b2o5b2o7b2o5b2o$3b3o25b3o18b
2o3bob2o7b2obo3b2o$2bo3b2o21b2o3bo23bo11bo$3bob3o21b3obo2$17bobo$15b3o
b3o$3b2o6b2o3bo3bo3b2o6b2o$3b2o6b2o11b2o6b2o$11bob2o7b2obo$6b2o5b2o7b
2o5b2o$6b2o3bob2o7b2obo3b2o$12bo11bo!

It also works for p51, as the reaction takes about 20 ticks, here one version (maybe not the one with minimal population)
x = 84, y = 51, rule = B3/S23
2$61bo3bo$60bo5bo$61bo3bo2$51b2o21b2o$51b2o21b2o2$48b2o5bo3bo7bo3bo5b
2o$48b2o5bo3bo7bo3bo5b2o$54b3ob2o7b2ob3o$53bo19bo$51b3o19b3o$53bo19bo
2$5b2o4bo2bo5bo2bo4b2o23bo19bo$5b2o3b2ob2o5b2ob2o3b2o21b3o19b3o$11bo
11bo57bo$2b2o8b2o7b2o8b2o47bobo$2b2o8b2o7b2o8b2o11bo$14b2o3b2o22bobo$
13b3o3b3o20bo$14b2o3b2o21bo37bobo$3bo27bo8bo5bo34bo$2b3o25b3o6bo3bo3bo
3b3o19b3o$5b2o21b2o9bo7bo5bo19bo$3bob2obo17bob2obo8b4o3bo$2b2o3b3o15b
3o3b2o10bo2bo6bo19bo$7b3o15b3o16bobo4b3o19b3o$53bo19bo$54b3ob2o7b2ob3o
$48b2o5bo3bo7bo3bo5b2o$7b3o15b3o20b2o5bo3bo7bo3bo5b2o$2b2o3b3o15b3o3b
2o$3bob2obo17bob2obo19b2o21b2o$5b2o21b2o21b2o21b2o$2b3o25b3o$3bo27bo
29bo3bo$14b2o3b2o39bo5bo$13b3o3b3o39bo3bo$14b2o3b2o$2b2o8b2o7b2o8b2o$
2b2o8b2o7b2o8b2o$11bo11bo$5b2o3b2ob2o5b2ob2o3b2o$5b2o4bo2bo5bo2bo4b2o!


And something different, but fun on this oscillator, maybe it helps to get a p51 gun, we 'only' have to shift the loaf back again:
x = 44, y = 55, rule = B3/S23
$19b2o3b2o$16b2ob2o3b2ob2o$16b2o3bobo3b2o$17bob2o3b2obo$10b2o6bobo3bob
o6b2o$10b2o5b3o5b3o5b2o$15b3o9b3o$7b2o6bobo9bobo6b2o$7b2o7bobo7bobo7b
2o$16bobobo3bobobo$16bo3bo3bo3bo$16b2o2bo3bo2b2o$9b2o23b2o$4b2o3bob4o
4b3ob3o4b4obo3b2o$4b3ob3o3bo5b2ob2o5bo3b3ob3o$7b2o2b2o6b2o3b2o6b2o2b2o
$3b2obobo7bobo7bobo7bobob2o$3b2ob2o4b3ob3o7b3ob3o4b2ob2o$5bo10b2o9b2o
10bo2$5bo10b2o9b2o10bo$3b2ob2o4b3ob3o7b3ob3o4b2ob2o$3b2obobo7bobo7bobo
7bobob2o$7b2o2b2o6b2o3b2o6b2o2b2o$4b3ob3o3bo5b2ob2o5bo3b3ob3o$4b2o3bob
4o4b3ob3o4b4obo3b2o$9b2o23b2o$16b2o2bo3bo2b2o$16bo3bo3bo3bo$16bobobo3b
obobo$7b2o7bobo7bobo7b2o$7b2o6bobo9bobo6b2o$15b3o9b3o$10b2o5b3o5b3o5b
2o$10b2o6bobo3bobo6b2o$17bob2o3b2obo$16b2o3bobo3b2o$16b2ob2o3b2ob2o$
19b2o3b2o3$26b2o$25bo2bo$26bobo$17b2o8bo$17b2o3$21bo$19b2o$20b2o!

(Maybe it works to flip the loaf and then reversing the reaction, but in the best case this would give a p102 gun)
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Re: Oscillator Discussion Thread

Postby danny » November 9th, 2018, 2:06 am

Sadly, the basic eater 4 solution doesn't work:
x = 44, y = 51, rule = B3/S23
16b2o3b2o$13b2ob2o3b2ob2o$13b2o3bobo3b2o$14bob2o3b2obo$7b2o6bobo3bobo
6b2o$7b2o5b3o5b3o5b2o$12b3o9b3o$4b2o6bobo9bobo6b2o$4b2o7bobo7bobo7b2o$
13bobobo3bobobo$13bo3bo3bo3bo$13b2o2bo3bo2b2o$6b2o23b2o$b2o3bob4o4b3ob
3o4b4obo3b2o$b3ob3o3bo5b2ob2o5bo3b3ob3o$4b2o2b2o6b2o3b2o6b2o2b2o$2obob
o7bobo7bobo7bobob2o$2ob2o4b3ob3o7b3ob3o4b2ob2o$2bo10b2o9b2o10bo2$2bo
10b2o9b2o10bo$2ob2o4b3ob3o7b3ob3o4b2ob2o$2obobo7bobo7bobo7bobob2o$4b2o
2b2o6b2o3b2o6b2o2b2o$b3ob3o3bo5b2ob2o5bo3b3ob3o$b2o3bob4o4b3ob3o4b4obo
3b2o$6b2o23b2o$13b2o2bo3bo2b2o$13bo3bo3bo3bo$13bobobo3bobobo$4b2o7bobo
7bobo7b2o$4b2o6bobo9bobo6b2o$12b3o9b3o11b2o$7b2o5b3o5b3o5b2o7bo$7b2o6b
obo3bobo6b2o2b2obo$14bob2o3b2obo9bob3o$13b2o3bobo3b2o16b2o$13b2ob2o3b
2ob2o6b5o3bo2bo$16b2o3b2o9bo4bo2b2o$35bo2bobo$35b2obo2bo$23b2o13bob2o$
22bo2bo12bo$23bobo11b2o$14b2o8bo$14b2o3$18bo$16b2o$17b2o!
I prefer Dani now, but Danny is fine seeing as it's my username and I've already made 4 too many accounts.
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Re: Oscillator Discussion Thread

Postby 2718281828 » November 9th, 2018, 11:52 am

Again two hassler:
A p42 loaf and hive hassler, the latter one seems to be non-trivial:

x = 174, y = 62, rule = LifeHistory
4$20.A6.2A23.2A6.A43.A6.2A23.2A6.A$19.A.A6.A23.A6.A.A41.A.A6.A23.A6.A
.A$14.A5.A7.A.2A3.2A7.2A3.2A.A7.A5.A31.A5.A7.A.2A3.2A7.2A3.2A.A7.A5.A
$13.3A13.A.A4.A7.A4.A.A13.3A29.3A13.A.A4.A7.A4.A.A13.3A$12.5A14.A.3A
9.3A.A14.5A27.5A14.A.3A9.3A.A14.5A$11.2A3.2A9.A2.2A.A13.A.2A2.A9.2A3.
2A25.2A3.2A9.A2.2A.A13.A.2A2.A9.2A3.2A$10.3A3.3A7.5A19.5A7.3A3.3A23.
3A3.3A7.5A19.5A7.3A3.3A$11.2A3.2A7.5A21.5A7.2A3.2A25.2A3.2A7.5A21.5A
7.2A3.2A$12.5A7.2A3.2A19.2A3.2A7.5A27.5A7.2A3.2A19.2A3.2A7.5A$11.5A7.
3A3.3A17.3A3.3A7.5A25.5A7.3A3.3A17.3A3.3A7.5A$8.A.2A2.A9.2A3.2A19.2A
3.2A9.A2.2A.A19.A.2A2.A9.2A3.2A19.2A3.2A9.A2.2A.A$6.3A.A14.5A21.5A14.
A.3A15.3A.A14.5A21.5A14.A.3A$5.A4.A.A13.3A23.3A13.A.A4.A13.A4.A.A13.
3A23.3A13.A.A4.A$5.2A3.2A.A7.A5.A10.2A.2A10.A5.A7.A.2A3.2A13.2A3.2A.A
7.A5.A10.2A.2A10.A5.A7.A.2A3.2A$13.A6.A.A11.2A2.2A.2A2.2A11.A.A6.A29.
A6.A.A11.2A2.2A.2A2.2A11.A.A6.A$13.2A6.A12.2A9.2A12.A6.2A29.2A6.A12.
2A9.2A12.A6.2A$35.4A3.4A73.4A3.4A$36.2A.A.A.2A75.2A.A.A.2A$35.3A.A.A.
3A73.3A.A.A.3A$33.2A2.A.A.A.A2.2A69.2A2.A.A.A.A2.2A$38.2A.2A79.2A.2A$
36.A.2A.2A.A75.A.2A.2A.A$36.2A5.2A75.2A5.2A2$130.2A$35.A93.A2.A$34.A.
A92.A.A$34.A.A93.A$35.A3$134.A5.A$133.3A3.3A2$37.A5.A$36.3A3.3A$110.
2A6.A37.A6.2A$110.A6.A.A35.A.A6.A$102.2A3.2A.A7.A5.A8.3A3.3A8.A5.A7.A
.2A3.2A$13.2A6.A37.A6.2A34.A4.A.A13.3A8.A5.A8.3A13.A.A4.A$13.A6.A.A
35.A.A6.A35.3A.A14.5A21.5A14.A.3A$5.2A3.2A.A7.A5.A8.3A3.3A8.A5.A7.A.
2A3.2A29.A.2A2.A9.2A3.2A19.2A3.2A9.A2.2A.A$5.A4.A.A13.3A8.A5.A8.3A13.
A.A4.A32.5A7.3A3.3A17.3A3.3A7.5A$6.3A.A14.5A21.5A14.A.3A34.5A7.2A3.2A
19.2A3.2A7.5A$8.A.2A2.A9.2A3.2A19.2A3.2A9.A2.2A.A35.2A3.2A7.5A21.5A7.
2A3.2A$11.5A7.3A3.3A17.3A3.3A7.5A37.3A3.3A7.5A19.5A7.3A3.3A$12.5A7.2A
3.2A19.2A3.2A7.5A39.2A3.2A9.A2.2A.A13.A.2A2.A9.2A3.2A$11.2A3.2A7.5A
21.5A7.2A3.2A39.5A14.A.3A9.3A.A14.5A$10.3A3.3A7.5A19.5A7.3A3.3A39.3A
13.A.A4.A7.A4.A.A13.3A$11.2A3.2A9.A2.2A.A13.A.2A2.A9.2A3.2A41.A5.A7.A
.2A3.2A7.2A3.2A.A7.A5.A$12.5A14.A.3A9.3A.A14.5A47.A.A6.A23.A6.A.A$13.
3A13.A.A4.A7.A4.A.A13.3A49.A6.2A23.2A6.A$14.A5.A7.A.2A3.2A7.2A3.2A.A
7.A5.A$19.A.A6.A23.A6.A.A$20.A6.2A23.2A6.A!


Something related, which might help for a p42 gun (it also works with one blinker):
x = 72, y = 27, rule = LifeHistory
16.A6.2A23.2A6.A$15.A.A6.A23.A6.A.A$6.3A7.A7.A.2A3.2A7.2A3.2A.A7.A7.
3A$5.A.4A.A.2A9.A.A4.A7.A4.A.A9.2A.A.4A.A$5.A4.A.4A11.A.3A9.3A.A11.4A
.A4.A$6.A2.A2.4A10.2A.A13.A.2A10.4A2.A2.A$10.A51.A$12.A.A4.A33.A4.A.A
$14.A4.A.A29.A.A4.A$23.A25.A$4.A.2A10.4A2.A2.A17.A2.A2.4A10.2A.A$2.3A
.A11.4A.A4.A15.A4.A.4A11.A.3A$.A4.A.A9.2A.A.4A.A15.A.4A.A.2A9.A.A4.A$
.2A3.2A.A7.A7.3A17.3A7.A7.A.2A3.2A$9.A6.A.A35.A.A6.A$9.2A6.A14.3A3.3A
14.A6.2A$32.A.A3.A.A$32.3A3.3A9$33.3A.3A!
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Re: Oscillator Discussion Thread

Postby Sokwe » November 12th, 2018, 5:57 am

I used JLS to find a solution to the p18 in the osc-supported section of jslife:
x = 31, y = 30, rule = B3/S23
10b2o$7bo2bo$5b3o3bo$b2obo3b3obo$obob3o5bo$obo6b3ob2o$bob3obo3bobobob
2o$3bobo3b2o4bobobo$3bo7bo3bo3bo$2b2obobob3ob2ob3o$2bo2b2o2b2obobobo$
3b2o8bo$5b2obo$5bo2bo6b2o2b2o$6b2o6bo2bob2o$10b2o3b2o6b2o$10b2o10bo2bo
$22bob2o$17bo8b2o$14bobobob2o2b2o2bo$12b3ob2ob3obobob2o$11bo3bo3bo7bo$
11bobobo4b2o3bobo$12b2obobobo3bob3obo$16b2ob3o6bobo$18bo5b3obobo$18bob
3o3bob2o$19bo3b3o$20bo2bo$19b2o!
-Matthias Merzenich
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Re: Oscillator Discussion Thread

Postby Scorbie » November 12th, 2018, 8:52 am

Sokwe wrote:I used JLS to find a solution to the p18 in the osc-supported section of jslife:
x = 31, y = 30, rule = B3/S23
10b2o$7bo2bo$5b3o3bo$b2obo3b3obo$obob3o5bo$obo6b3ob2o$bob3obo3bobobob
2o$3bobo3b2o4bobobo$3bo7bo3bo3bo$2b2obobob3ob2ob3o$2bo2b2o2b2obobobo$
3b2o8bo$5b2obo$5bo2bo6b2o2b2o$6b2o6bo2bob2o$10b2o3b2o6b2o$10b2o10bo2bo
$22bob2o$17bo8b2o$14bobobob2o2b2o2bo$12b3ob2ob3obobob2o$11bo3bo3bo7bo$
11bobobo4b2o3bobo$12b2obobobo3bob3obo$16b2ob3o6bobo$18bo5b3obobo$18bob
3o3bob2o$19bo3b3o$20bo2bo$19b2o!
What??! Congrats! Another jewel from the wave of nontrivial oscillator catalysis searches.
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Re: Oscillator Discussion Thread

Postby 2718281828 » November 14th, 2018, 8:09 pm

A narrow (9 cell width) p5 t-nosed oscillator:
x = 9, y = 78, rule = B3/S23
4bo$2o2bo$o2b3o$b2o$2bo3bo$2bob3o$3bob2o$7b2o$b4o2b2o$o3bo$4o$5b2o$4ob
ob2o$o4bob2o$b5o$5bo$b3ob2o$o2bo2bo$o5bo$b5obo$6bo$b5obo$o$3ob2o$5bo$
4ob3o$o3bo3bo$2bo4bo$b6o$6b2o$3b3obo$3bo2b2o$6b2o$b5ob2o$o6b2o$obo$b2o
b2ob2o$4b5o$b2o$2bob2o$2bo2bo2bo$2obo3bo$bobo2bo$o2b5o$b2o4bo$3bob2o$
3bob2o$2obo2bo$bobo$bobobobo$2obob2o$bo2bo$bo3bo$2b2obo$6bo$4b2o$4b2o$
2o3bo$obo$b3obobo$3bobob2o$3bobob2o$3bobo$3b2o$o$5o$5bo$2b4ob2o$2bo2bo
b2o$3bobobo$2b2ob2o$o2bobobo$2o3bob2o$4b2ob2o$3bobo$2bobo$2bo$b2o!

Not sure, if it is known and useful.
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Re: Oscillator Discussion Thread

Postby Extrementhusiast » November 15th, 2018, 1:15 am

2718281828 wrote:A narrow (9 cell width) p5 t-nosed oscillator:
x = 9, y = 78, rule = B3/S23
4bo$2o2bo$o2b3o$b2o$2bo3bo$2bob3o$3bob2o$7b2o$b4o2b2o$o3bo$4o$5b2o$4ob
ob2o$o4bob2o$b5o$5bo$b3ob2o$o2bo2bo$o5bo$b5obo$6bo$b5obo$o$3ob2o$5bo$
4ob3o$o3bo3bo$2bo4bo$b6o$6b2o$3b3obo$3bo2b2o$6b2o$b5ob2o$o6b2o$obo$b2o
b2ob2o$4b5o$b2o$2bob2o$2bo2bo2bo$2obo3bo$bobo2bo$o2b5o$b2o4bo$3bob2o$
3bob2o$2obo2bo$bobo$bobobobo$2obob2o$bo2bo$bo3bo$2b2obo$6bo$4b2o$4b2o$
2o3bo$obo$b3obobo$3bobob2o$3bobob2o$3bobo$3b2o$o$5o$5bo$2b4ob2o$2bo2bo
b2o$3bobobo$2b2ob2o$o2bobobo$2o3bob2o$4b2ob2o$3bobo$2bobo$2bo$b2o!

Not sure, if it is known and useful.

After searching for a different ending, I managed to shave off...one whole row:
x = 9, y = 77, rule = B3/S23
4bo$2o2bo$o2b3o$b2o$2bo3bo$2bob3o$3bob2o$7b2o$b4o2b2o$o3bo$4o$5b2o$4ob
ob2o$o4bob2o$b5o$5bo$b3ob2o$o2bo2bo$o5bo$b5obo$6bo$b5obo$o$3ob2o$5bo$
4ob3o$o3bo3bo$b2o4bo$3b4o$3bo2b2o$o3bo2bo$7o$6bo$2b2o$2bo5bo$3bo$3o4b
2o$o6b2o$5bobo$4b5o$3bo3bo$2b2o$b2o2b2o$b2o$b2o2bo$b2ob2o$2bo2bo$3bobo
$4bo$2bob2o$2bo2bo$2bob2ob2o$2b5obo$3b2o2bo$2bo$bobo$bobo$4b2o$2bobob
2o$obobo$2o2bobo$4b3o$4o3bo$o3b2ob2o$2bobo2bo$b2o2b3o$3b2o2b2o$b2o2bo$
o2bobo$bobobobo$2obobo2bo$3bo4bo$3bobo$2obo$2obob3o$4bobobo$7b2o!
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Re: Oscillator Discussion Thread

Postby dvgrn » November 15th, 2018, 7:08 am

Extrementhusiast wrote:After searching for a different ending, I managed to shave off...one whole row:

Oddly enough, just looking at that new one and drawing in an eater by hand shaves off a lot more rows, though of course the eater intrudes into two new columns at the very bottom so it's not exactly a solution to the original problem any more.

Still I don't think the eater is going to get in the way of most things that a T-nose might get used for:

x = 11, y = 38, rule = B3/S23
2o$o2b3o$b2ob2o$2bo3bo$2bobo2bo$3bo$5bo2bo$b4o2b2o$o3bo$6o$5b3o$3o2bo
2bo$o4bob2o$b3obo2$b3ob2o$o2b2ob2o$o5b2o$b5obo$7bo$b6o$o5bo$2o2b2o2$4o
b3o$o3b2o2bo$b2o3b2o$3b3o$3bo3bo$o6bo$5ob2o$6bo$2b2o$2bo$3bo3b2o$3o4bo
$o7b3o$10bo!

The eater-compatible linkage wasn't there in the original version.

Any hope of bending the p5 90 degrees near the top, and preserving that useful high-clearance side of the T-nose by extending the search west instead of south? Or is this a problem that was already solved long ago? I haven't looked through jslife yet to see what's already available.
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Re: Oscillator Discussion Thread

Postby Scorbie » November 15th, 2018, 8:42 am

1. I'm running an ofind search for the p5 mw hassler with questionable usability. Here's the current partial:
x = 9, y = 52, rule = B3/S23
4bo$2o2bo$o2b3o$b2o$2bo3bo$2bob3o$3bob2o$7b2o$b4o2b2o$o3bo$4o$5b2o$4ob
ob2o$o4bob2o$b5o$5bo$b3ob2o$o2bo2bo$o5bo$b5obo$6bo$b5obo$o$3ob2o$5bo$
4ob3o$o3bo3bo$2bo4bo$b6o$6b2o$3b3obo$3bo2b2o$6b2o$b5ob2o$o6b2o$obo$b2o
b2ob2o$4b5o$b2o$2bob2o$2bo2bo2bo$2obo3bo$bobo2bo$o2b5o$3o4bo$3bob2o$2o
bob2o$2obo2bo$3bo$3bobobo$2b2ob2o$7bo!

N.B ofind is a BFS search so it will print out the shortest possible oscillator. However, I've seen it spitting out suboptimal solutions, so I guess there's a bug in there.

Edit: ofind emits this:
x = 9, y = 80, rule = B3/S23
4bo$2o2bo$o2b3o$b2o$2bo3bo$2bob3o$3bob2o$7b2o$b4o2b2o$o3bo$4o$5b2o$4ob
ob2o$o4bob2o$b5o$5bo$b3ob2o$o2bo2bo$o5bo$b5obo$6bo$b5obo$o$3ob2o$5bo$
4ob3o$o3bo3bo$b2o4bo$3b4o$3bo2b2o$o3bo2bo$7o$6bo$2b2o$2bo5bo$3bo$3o4b
2o$o6b2o$5bobo$4b5o$3bo3bo$2b2o$b2o2b2o$b2o$b2o2bo$b2ob2o$2bo2bo$3bobo
$4bo$2bob2o$2bo2bo$2bob2ob2o$2b5obo$3b2o2bo$2bo$bobo$bobo$4b2o$2bobob
2o$obobo$2o2bobo$4b3o$4o3bo$o3b2ob2o$2bobo2bo$b2o2b3o$3b2o2b2o$obo2bo$
2obobo$3bobobo$3bobo2bo$2obo4bo$bobobo$o2bo$b3ob3o$4bobobo$b2o4b2o$bo$
3bo$2b2o!

So it probably checks if the row can be stabilized with p1 parts to shortcut early. Which means EE's solution is likely to be optimal.

2. Unrelated: here's a p5 half MW hassler, one row shorter of questionable usability
x = 34, y = 10, rule = B3/S23
9b2o17b2o$7bo3bob2o11bo3bo$11bobobob2o11bo$6bo2b3obobob2o6bo2bobob2o$
7b2o3bo2bo7b3ob2obo2bo$4bo7bo2bo6bo3bo2bobo$6o8bo7b2ob2o3bo$4o2bo16bob
o$5b2o16bobo$24bo!
Last edited by Scorbie on November 16th, 2018, 5:24 am, edited 1 time in total.
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Re: Oscillator Discussion Thread

Postby Extrementhusiast » November 15th, 2018, 7:42 pm

dvgrn wrote:Any hope of bending the p5 90 degrees near the top, and preserving that useful high-clearance side of the T-nose by extending the search west instead of south? Or is this a problem that was already solved long ago? I haven't looked through jslife yet to see what's already available.

Well, there is this possibility of turning it entirely too soon (although the partial's a bit short):
x = 20, y = 11, rule = B3/S23
8bo$2bo6b2o2bob2o2bo$2bo5bo4bob2obo$b4o3b2obo4b4o$4b2o3bobo3bo$o3bobo
4bobo2b2o$b2obob4o3bo2b2o$2bob2o4b2o5bobo$2bo4b2o4bob4o$3b3obob3obo3bo
$5b2o4bob2o3bo!


(I didn't see anything of the sort in jslife or in the osc-supplement.)
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Re: Oscillator Discussion Thread

Postby Scorbie » November 16th, 2018, 5:37 am

dvgrn wrote:Still I don't think the eater is going to get in the way of most things that a T-nose might get used for:

Well, if we're talking about usability, the T-nose is certainly no better than a pipsquirter:
x = 130, y = 27, rule = B3/S23
34bo32bo24bo26bo$6bo27bo32bo24bo26bo$6bo79b2o9b2o$32bobobo25bo2bobobo
2bo14bo2bobobo2bo12b2ob2o2b5o2b2ob2o$4bobobo23b5o25b11o13bo3b5o3bo11b
2obo2bo5bo2bob2o$4b5o21b2o5b2o47b4o5b4o14bo11bo$2b2o5b2o17bo2bo5bo2bo
20bob2o5b2obo15bo5bo17bobo2bobo2bobo$bobo5bobo16b2o2b2ob2o2b2o19bob2ob
o3bob2obo11b4o2bo2b4o10bob2obobobobobobob2obo$bo9bo48bo4bo3bo4bo10bo2b
o2bobo2bo2bo9b2obobo2bo3bo2bobob2o$2ob2o3b2ob2o19b2ob2o2b2o20b3ob2ob2o
b3o11b2o5bo5b2o13b3o3bo3b3o$bob3ob3obo22bo5bo21bo3bobo3bo42bo7bo$bo9bo
24b4o20bo3b2o3b2o3bo34b2o2b2o9b2o2b2o$2obo5bob2o18bo3bo24b4ob2ob2ob4o
34bo2bob2o7b2obo2bo$3bo5bo20bobo4bo25bo7bo20bo18b2o3b2o3b2o3b2o$2obo5b
ob2o18bo2b2ob3o20b2obobobobobob2o17bo19bo13bo$obo7bobo27bo19b2obobobob
obob2o37bobo9bobo$3b3ob3o24b2ob3o24b3ob3o15b2o2bobobo2b2o14b2o4bo4b2o$
b2o2bobo2b2o24b2o28b3o17bo3b5o3bo16bo7bo$o2b2o3b2o2bo74b3o5b3o17bob2ob
2obo$b2o2bobo2b2o21bob5o49bo5bo18b2o7b2o$2bob2ob2obo22b2o4bo42b2ob5o2b
o2b5o11bobo2bob3obo2bobo$2bo2bobo2bo25b2o45bobo2bo2bobo2bo2bo11b2ob2o
3bo3b2ob2o$3b2o3b2o23b3ob2o44bo2bo5bo5bo15bob2o3b2obo$33bo50b2o13b3o
12bo3b3o3bo$101bo13b3o3b3o$118bo2bo$117b2o!
(source: jslife)
Edit: Speaking of that, here's a small decent p5 pipsquirter:
x = 15, y = 13, rule = B3/S23
7bo$7bo2$5bobobo$3b9o$2bo9bo$bob2o5b2obo$o2bob2ob2obo2bo$2o4bobo4b2o2$
3bo2bobo2bo$3bo2bobo2bo$4b2o3b2o!

Edit2: Another:
x = 15, y = 17, rule = B3/S23
8bo$8bo2$6bobobo$6b5o$4b2o5b2o$2bo2bo5bo2bo$2b2o2b2ob2o2b2o2$6b2ob2o$
4b3o2bo2bo$3bobo4b2obo$3bo7bobo$2obo6bo2b2o$2ob2o3b3obo$7bo4bo$7b2o3b
2o!


Edit3: Optimizations of a known p4 sparkers; (Left: Prior art; Right: Newly found) (Edited multiple times)
x = 120, y = 159, rule = B3/S23
o64bo2$65bo2$65bo2$65bo2$65bo2$48bo2bo13bo12bo2bo2$47bo4bo12bo11bo4bo$
46bob4obo22bob4obo$43b2o2bo4bo2b2o8bo9b3o4b3o$46bobo2bobo20b12o$43bo4b
4o4bo8bo10b8o$43bob2o6b2obo15bobob8obobo$41b2o4b6o4b2o6bo6b2o12b2o$40b
ob2ob2o6b2ob2obo$40b2obo2bo2b2o2bo2bob2o5bo10b3o2b3o$43b2o4b2o4b2o18bo
8bo$40b4o2bo6bo2b4o5bo12bo2bo$40bo4bobo4bobo4bo13bo2b2o4b2o2bo$41b3obo
8bob3o6bo5b2o14b2o$43bobob2o2b2obobo16b2o10b2o$45bo8bo10bo6bo14bo$45b
2o6b2o$65bo2$50bo14bo14bo$48bo3bo25bo3bo$65bo2$46b9o10bo10b9o$46b2o5b
2o21b2o5b2o$45b2o7b2o9bo9b2o7b2o$45bo9bo19bo9bo$65bo$41b2o2b3o5b3o2b2o
11b2o2b3o5b3o2b2o$41bo2bob2o5b2obo2bo5bo5bo2bob2o5b2obo2bo$42bobobo7bo
bobo13bobob2o5b2obobo$41b2ob2o9b2ob2o5bo5b2obo11bob2o$40bo2bo3b3ob3o3b
o2bo10bo3bob3ob3obo3bo$41bobob2o7b2obobo5bo6b2obo9bob2o$42bo2bobo5bobo
2bo14bobobobobobobobo$48bobobo12bo7bobobobobobobo3bo$44b4o2bo2b4o17b2o
bo2bo2bobo2b2o$45bob7obo9bo11b2obob2ob2o$43bobo9bobo19bo2bo$41b3obo2b
2ob2o2bob3o5bo13b2o$40bo5bo2bobo2bo5bo$41bob2obobo3bobob2obo5bo$42b2ob
obo5bobob2o$46bo7bo10bo2$65bo2$65bo2$50bo14bo14bo29bo$48bo3bo25bo3bo
25bo3bo$65bo38b2obo5bob2o$47bo5bo49bob4o3b4obo$46bob5obo10bo10b9o18bob
o3b3o3bobo$43b2o2bo5bo2b2o18b2o5b2o17b2obo9bob2o$45bob3ob3obo9bo9b2o7b
2o19bo2bo3bo2bo$43bo2b2obobob2o2bo17bo9bo16b2obobobobobobob2o$44bo4bob
o4bo8bo35bobo2bo2bobo2bo2bobo$40b2o5b3ob3o5b2o10b2o2b3o5b3o2b2o11bobob
2obobobob2obobo$40bo3b2o9b2o3bo4bo5bo2bob2o5b2obo2bo12bobo3bo3bo3bobo$
41b3o3b7o3b3o12bobob2o5b2obobo15bobobo3bobobo$43bobobo2bo2bobobo7bo5b
2obo11bob2o13b2ob2o5b2ob2o$43b4o7b4o13bo3bob3ob3obo3bo$44bo11bo8bo6b2o
bo9bob2o$41b2ob5o3b5ob2o13bobobobobobobobo$48bo3bo12bo7bobobobobobobo
3bo$44b2o9b2o17b2obo2bo2bobo2b2o$45bo9bo9bo11b2obob2ob2o$44bo11bo20bo
2bo$44b2o9b2o8bo13b2o2$65bo2$65bo2$65bo2$65bo2$49b2o14bo13b2o28b2o$47b
o4bo24bo4bo24bo4bo$65bo37b2obo6bob2o$46bobo2bobo48bob4o4b4obo$44b4ob2o
b4o9bo9b10o17bobo3b4o3bobo$43bo4bo2bo4bo18b2o6b2o16b2obo10bob2o$42bob
2obo4bob2obo7bo8b2o8b2o18bo2bo4bo2bo$42bobobo6bobobo16bo10bo15b2obobob
o2bobobob2o$41b2obobo6bobob2o6bo34bobo2bo2bo2bo2bo2bobo$44bo10bo16b3o
10b3o12bobob2obob2obob2obobo$44bobob4obobo9bo6b4o2bo2bo2b4o13bobo3bo4b
o3bobo$41b2obobo6bobob2o12bo6b4o6bo14bobobo4bobobo$42bobobob4obobobo7b
o5b6o6b6o13b2ob2o6b2ob2o$42bobob3o2b3obobo12bo5b8o5bo$43bo3bob2obo3bo
8bo5b5o2bo2bo2b5o$46bobo2bobo21bo8bo$44bobobo2bobobo9bo7bo12bo$44b2o3b
2o3b2o17b2o10b2o$65bo2$19b2o28b2o14bo13b2o28b2o$17bo4bo24bo4bo24bo4bo
24bo4bo$65bo$16bo6bo$11b2o2bob6obo2b2o16b10o10bo9b10o20b10o$11bo3bobo
4bobo3bo16b2o6b2o20b2o6b2o20b2o6b2o$8bo3bo2b4o2b4o2bo3bo12b2o8b2o9bo8b
2o8b2o18b2o8b2o$8b4o4bo6bo4b4o12bo10bo18bo10bo18bo10bo$18bo2bo43bo$10b
2o3b2o6b2o3b2o13bobo8bobo16bobo8bobo15b3o10b3o$10bo2b4o2b2o2b4o2bo15bo
2bo2bo2bo10bo9bo2bo2bo2bo17b4o2bo2bo2b4o$11b2o2b2o6b2o2b2o13b2o2b3o2b
3o2b2o14b2o2b3o2b3o2b2o13bo6b4o6bo$15bob2o2b2obo19b3o6b3o9bo8b3o6b3o
15b6o6b6o$9b22o17bo2bo26bo2bo18bo5b8o5bo$10bo6bob2obo6bo14bobo6bobo9bo
8bobo6bobo15b5o2bo2bo2b5o$8bo3b2obo8bob2o3bo11b2obob4obob2o16b2obob4ob
ob2o18bo8bo$8b4o3bob2o2b2obo3b4o14b2o4b2o11bo10b2o4b2o19bo12bo$12bo3bo
6bo3bo15b2o4b2o4b2o16b2o4b2o4b2o16b2o10b2o$8b2o4bo10bo4b2o13b4o2b4o10b
o9b4o2b4o$8bo2bobo12bobo2bo13bo2bo2bo2bo20bo3b2o3bo$9b6ob2o4b2ob6o13b
3o2b2o2b3o9bo7b2obobo2bobob2o$14bobo6bobo18bo2b2o2b2o2bo15b3obob2o2b2o
bob3o$11b4obobo2bobob4o16b2ob4ob2o10bo4bo4bo8bo4bo$11bo3bob2o2b2obo3bo
42b3obo8bob3o$12bo2bo8bo2bo17b2o2b2o2b2o10bo7b2o10b2o$13bobo8bobo18bo
2bo2bo2bo$14bo10bo21b2o2b2o12bo2$65bo2$49b2o14bo13b2o$47bo4bob2o21bo4b
ob2o$55bo9bo19bo$53b2o28b2o$45b8o2b3o7bo9b8o2b3o$45b2o7bo2bo17b2o7bo2b
o$44b2o9b2o8bo8b2o9b2o$44bo29bo$65bo$40b2o2b3o25b3o$40bo2bob2o2b2o14bo
6b4o2bo$41bobo4bobo20bo6b3o$42bo2bo2b2o15bo5b6o4bo$43b2obobo21bo5b5o$
44bobobobo14bo5b5o2bo$43bo2b2obobo23bo$43b2o4bobo13bo7bo$49b2o22b2o$
65bo!
Best wishes to you, Scorbie
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Scorbie
 
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