Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
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Re: Oscillator Discussion Thread

Post by Sokwe » December 9th, 2021, 2:18 pm

JP21 wrote:
December 9th, 2021, 5:15 am
Worst p28 in existence
How did you find it? It can be completed with an eater and Extrementhusiast's p7 dot sparker sparker:

Code: Select all

x = 92, y = 49, rule = B3/S23
38bo$37bobo3b2o$36bo2bo3bo$5bo3bo7b2o17bobob2obo$4bobo2b3o5bo19b2obobo
$3bo2bo5bob2obo22bo$3bobob4obobobo20b5o$2b2obo5bo3bo21bo$o2bo5bo5b2o3b
2o16b5o$2o2bo3b2o5b2o3b2o11bo2bobo4bo$11bo2bo3bo2b4o8b4obo5bob2o$5bob
3o2b3ob6ob2o13bobobobob2o$5bo4b2o3bo6bo2bo2bo6b3o2bo3bo$6b3o3b2obo2b3o
2b4obo6bo2b2ob2ob4o$8b2obo2bo3bo2b2o15bo3b2o4bo$12b2o6bo2bo2b3o10b3o3b
3o5bo$21b2o2bobobo11bobobo5b3o3b2o$22bob2obo2bo11b3o5bo5bo2bo$22bo2bob
o2b2o11bo6b2o4bob2o$23b2o2bo2b2o2bo19b3o$27bobo28b2o$26b2ob4obobo8b3o
6b5obo$27bobo2b3o3bo6bobo7bo5bo$27bo2b3ob2o2bo6bo2bo6b7o$28b2o3bo12b2o
10bo3b2o$30b7o16bo2b2ob3o2bo$30bo5bo16bo3b3o2bobo$31bob5o17bobob4ob2o$
32b2o28bobo$35b3o19bo2b2o2bo2b2o$32b2obo4b2o6bo11b2o2bobo2bo$32bo2bo5b
o5b3o11bo2bob2obo$33b2o3b3o5bobobo11bobobo2b2o$38bo5b3o3b3o10b3o2bo2bo
6b2o$43bo4b2o3bo15b2o2bo3bo2bob2o$44b4ob2ob2o2bo6bob4o2b3o2bob2o3b3o$
47bo3bo2b3o6bo2bo2bo6bo3b2o4bo$44b2obobobobo13b2ob6ob3o2b3obo$44b2obo
5bob4o8b4o2bo3bo2bo$48bo4bobo2bo11b2o3b2o5b2o3bo2b2o$49b5o16b2o3b2o5bo
5bo2bo$54bo21bo3bo5bob2o$50b5o20bobobob4obobo$51bo22bob2obo5bo2bo$49bo
bob2o19bo5b3o2bobo$48bob2obobo17b2o7bo3bo$48bo3bo2bo$47b2o3bobo$53bo!
hotdogPi wrote:
December 8th, 2021, 2:29 pm
p20 bi-block hassler with high clearance: partial by 83bismuth38, completed by iNoMed. Matched one of my partials (p20).
Reduction of the p4 part:

Code: Select all

x = 36, y = 41, rule = B3/S23
20bo9bo$12b2o6b3o5b3o$12bobo3b2o3bo3bo3b2o$6b2ob2obobo2bo3b2obobob2o3b
o$7bobo2bob2o2b3obobobobob4o$6bo2bobobo10bobo$6b4o5b4ob2ob2ob2ob2ob4o$
10bob2obo2b2o11b2o2bo$8bo3b3o$7bobo2b2o$7b2o7bo$15bobo4bo$14bo3bo3b2o$
8b2o4bo2bo4b2o$9bo19b2o$9bobo10b2o4bo2bo$10b2o10b2o2bo2bobo$30bo$26bob
2o$16b3o8bo$16bo2bo$8bo8b3o$6b2obo$5bo$4bobo2bo2b2o10b2o$4bo2bo4b2o10b
obo$5b2o19bo$12b2o4bo2bo4b2o$12b2o3bo3bo$13bo4bobo$19bo7b2o$22b2o2bobo
$21b3o3bo$o2b2o11b2o2bob2obo$4ob2ob2ob2ob2ob4o5b4o$9bobo10bobobo2bo$2b
4obobobobob3o2b2obo2bobo$2bo3b2obobob2o3bo2bobob2ob2o$3b2o3bo3bo3b2o3b
obo$5b3o5b3o6b2o$5bo9bo!
-Matthias Merzenich

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JP21
Posts: 1876
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Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 9th, 2021, 3:02 pm

Sokwe wrote:
December 9th, 2021, 2:18 pm
JP21 wrote:
December 9th, 2021, 5:15 am
Worst p28 in existence
How did you find it? It can be completed with an eater and Extrementhusiast's p7 dot sparker sparker:

Code: Select all

rle
Just a simple placing dots around the honey farm predecessor until I get something.
For example, this impossible to complete p27:

Code: Select all

x = 33, y = 40, rule = B3/S23
18b2o$18bobo$19b3o$20b2o$16bo2b2o$16b4o$17bo$13bo$12b2o8bo$15bo4bobobo
$11b2ob2o4bo3b2o$5b2o8bo4bobo$4b4o4b3o6b3o$3bobob2o18b2o$3b2o3bo17b2o$
8b2o17bo3b2o$7b2o18b2obobo$12b3o6b3o4b4o$13bobo4bo8b2o$10b2o3bo4b2ob2o
$11bobobo4bo$13bo8b2o$22bo$18bo$16b4o$15b2o2bo$2o6bo5b2o$bo5b3o4b3o$bo
bo3b4o4bobo$2b2o7bo4b2o$8bo2b2o$7bobob3o$8bo2b2o$11bo$10bo2bo2$5b2o$6b
o$3b3o$3bo!
I completely forgot about the p7 dot sparker.
Population reduction:

Code: Select all

x = 92, y = 49, rule = B3/S23
48bo$42b2o3bobo$43bo3bo2bo$5bo3bo7b2o24bob2obobo$4bobo2b3o5bo26bobob2o
$3bo2bo5bob2obo$3bobob4obobobo28b5o$2b2o2bo4bo2bo29bo4bo$o2bo3b2o2bob
2o5bo27bo$2o5bo6bo2b4o22bo4bobo2bo$7bo2bobobo5bo3bo17bo3bobob4o$6b4o2b
obob4o5b2o15bo2bob2o$5bo4b2o3bo5bobo3bo11b2obobo4b3o$6b3o3b2obo2b3o2b
3o2bo10bob2obobobo2bo$8b2obo2bo3bo2b2o5bo14bo4bo$12b2o6bo2bo2b4o10b2ob
ob3o5bo$21b2o2bo3bo8bo2bo3bo5b3o3b2o$22bob2obo10b2o10bo5bo2bo$22bo2bob
o3bo11bo6b2o4bob2o$23b2o2bobo2bo10bo11b2o$27bobo3bobo18bo3b2o$26b2obob
2ob3o7b3o8b4obo$27bobo2bob3o6bo10bo6bo$27bo2bo5bo6bo3bo7b7o$28b2o3bo2b
o10bo7bo2bo3b2o$30b7o8b2o8bo5bo2bo$30bo6bo5b2o10b3obo2bobo$31bob4o5bob
o10b3ob2obob2o$32b2o3bo18bobo3bobo$35b2o3bo2bo4bo10bo2bobo2b2o$32b2obo
4bo7bo11bo3bobo2bo$32bo2bo5bo10b2o10bob2obo$33b2o3b3o5bo3bo2bo8bo3bo2b
2o$38bo5b3obob2o10b4o2bo2bo6b2o$43bo4bo14bo5b2o2bo3bo2bob2o$40bo2bobob
ob2obo10bo2b3o2b3o2bob2o3b3o$40b3o4bobob2o11bo3bobo5bo3b2o4bo$43b2obo
2bo15b2o5b4obobo2b4o$38b4obobo3bo17bo3bo5bobobo2bo$38bo2bobo4bo22b4o2b
o6bo5b2o$43bo27bo5b2obo2b2o3bo2bo$42bo4bo29bo2bo4bo2b2o$42b5o28bobobob
4obobo$74bob2obo5bo2bo$42b2obobo26bo5b3o2bobo$41bobob2obo24b2o7bo3bo$
41bo2bo3bo$42bobo3b2o$43bo!

hotdogPi
Posts: 1627
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » December 9th, 2021, 3:59 pm

JP21, do you keep a list of your partials?

(And for those wondering, no, this isn't duplicating my work. My program only puts sparks on the leading edge and doesn't consider a dot in a corner to suppress a B3a birth, and I've done very little with shuttles (i.e. reappears somewhere else halfway) + catalysts.)
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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JP21
Posts: 1876
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Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 9th, 2021, 4:14 pm

hotdogPi wrote:
December 9th, 2021, 3:59 pm
JP21, do you keep a list of your partials?
Though I save my partials, I don't keep them organized. I don't have a list of partials, and I don't even have that much partials to begin with.

Sokwe
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Re: Oscillator Discussion Thread

Post by Sokwe » December 10th, 2021, 1:21 am

Completion of a p20 beehive hassler suggested by 83bismuth38 on Discord:

Code: Select all

x = 26, y = 29, rule = B3/S23
3bo5bobo$2bobobo2b2obo2b2o$bo2bob3o3bo3bo$bobobo3bobob3o$2obo2b2obobob
o$o2bob3obo7b2o$bob2o2bo2b2o5b2o$2bob2obob2obo$obo4b3o3bo3bo$2obo2bo4b
2o3bobo$3bo2bob3o5bobo$3o4b2o2b2o4bo$o10bo$12bo$9b3o$8bo$7bobo12b2o$7b
obo2b8o2bobo$6b2o2bob8obo2bo$5bo3b14ob2o$6b3o14bo$8bob2ob6ob2obo$9bo2b
8o2bo$10b12o$7b3o12b3o$7bo2bo10bo2bo$8b2o12b2o$15b2o$15b2o!
The p4 in the upper left is an adaptation of the p3 from this post. The p20 and p24 built using two copies of the domino sparker were already known.

Edit: as iNoMed noted on Discord, Ellison's p4 HW emulator works here:

Code: Select all

x = 28, y = 23, rule = B3/S23
3bo5bobo$2bobobo2b2obo2b2o$bo2bob3o3bo3bo$bobobo3bobob3o$2obo2b2obobob
o$o2bob3obo7b2o$bob2o2bo2b2o5b2o$2bob2obob2obo$obo4b3o3bo3bo$2obo2bo4b
2o3bobo$3bo2bob3o5bobo$3o4b2o2b2o4bo$o10bo$12bo$9b3o$8bo14bo$7bobo12bo
bo$7bobo2b8o2bobo$4b2obo2bob8obo2bob2o$4b2obo4b8o4bob2o$7bo16bo$7bobo
4b2obo4bobo$8b2o4bob2o4b2o!
-Matthias Merzenich

FractalFusion
Posts: 52
Joined: March 27th, 2009, 2:07 pm

Re: Oscillator Discussion Thread

Post by FractalFusion » December 10th, 2021, 6:17 pm

Using a reaction I found involving three copies of Jason's p33, I was able to construct a p33 statorless 90-degree glider reflector that can form glider loops. This allows for all statorless oscillators of period p33n (another infinite family).

p33 statorless 90-degree glider reflector:

Code: Select all

x = 268, y = 251, rule = LifeHistory
113.A.A$112.A10.A.A$111.A3.A10.A$111.A2.A8.A3.A$111.A12.A2.A$113.A13.
A$111.A.A11.A$110.A14.A.A$113.A14.A$111.3A11.A$125.3A4$108.3A$108.A
19.3A$111.A18.A$108.A.A16.A$108.A19.A.A$110.A19.A$107.A2.A17.A$110.A
17.A2.A$107.A.A18.A$129.A.A3$104.A.A$103.A28.A.A$97.2A.2A4.A28.A$97.A
7.A26.A4.2A.2A$90.A6.A2.A.3A28.A7.A$85.3A.A2.A6.A34.3A.A2.A6.A$84.A7.
A46.A6.A2.A.3A$88.2A.2A53.A7.A$84.A.A59.2A.2A$78.A.A71.A.A$77.A80.A.A
$76.A3.A80.A$76.A2.A78.A3.A$76.A82.A2.A$78.A83.A$76.A.A81.A$75.A84.A.
A$78.A84.A$76.3A81.A$160.3A4$73.3A$73.A89.3A$76.A88.A$73.A.A86.A$73.A
89.A.A$75.A89.A$72.A2.A87.A$71.A3.A87.A2.A$74.A88.A3.A$71.A.A90.A$65.
A.A97.A.A$59.2A.2A107.A.A$59.A7.A107.2A.2A$52.A6.A2.A.3A104.A7.A$47.
3A.A2.A6.A110.3A.A2.A6.A$46.A7.A122.A6.A2.A.3A$50.2A.2A129.A7.A$46.A.
A135.2A.2A$40.A.A147.A.A$39.A156.A.A$38.A3.A156.A$38.A2.A154.A3.A$38.
A158.A2.A$40.A159.A$38.A.A157.A$37.A160.A.A$40.A160.A$38.3A157.A$198.
3A4$35.3A$35.A165.3A$38.A164.A$35.A.A162.A$28.A6.A165.A.A12.2C$28.A8.
A165.A6.A5.C.C$28.A.A4.A.A163.A8.A5.C$35.A165.A.A4.A.A$203.A3$27.3A$
26.3A7.2A171.3A13.C$28.A7.A164.2A7.3A11.2C$35.3A164.A7.A13.C.C$28.A5.
A2.A163.3A$28.A5.A.A164.A2.A5.A$27.A.A5.A166.A.A5.A$28.2A13.2A158.A5.
A.A$28.A8.3A.2A.2A148.2A13.2A$37.2A4.A11.A137.2A.2A.3A8.A$38.A11.A4.
2A126.A11.A4.2A$25.A22.2A.2A.4A124.2A4.A11.A$24.2A23.2A130.4A.2A.2A
22.A$24.A.A30.A130.2A23.2A$25.A155.A30.A.A$25.A187.A$213.A$25.A$25.3A
185.A$24.3A184.3A$212.3A3$52.A$59.2A125.A$21.A30.4A.2A.2A116.2A$13.2A
38.2A4.A11.A105.2A.2A.4A30.A$12.2A.2A.4A32.A11.A4.2A94.A11.A4.2A38.2A
$2.A11.A4.2A43.2A.2A.4A92.2A4.A11.A32.4A.2A.2A$.2A4.A11.A45.2A98.4A.
2A.2A43.2A4.A11.A$4A.2A.2A63.A98.2A45.A11.A4.2A$7.2A156.A63.2A.2A.4A$
A229.2A$238.A$258.C$257.2C$257.C.C4$68.A$75.2A93.A$.A66.4A.2A.2A84.2A
$8.2A59.2A4.A11.A73.2A.2A.4A66.A27.3C$.4A.2A.2A59.A11.A4.2A62.A11.A4.
2A59.2A34.C$2.2A4.A11.A59.2A.2A.4A60.2A4.A11.A59.2A.2A.4A28.C$3.A11.A
4.2A59.2A66.4A.2A.2A59.A11.A4.2A$13.2A.2A.4A66.A66.2A59.2A4.A11.A$14.
2A133.A66.4A.2A.2A$22.A200.2A$216.A7$84.A$91.2A61.A$17.A66.4A.2A.2A
52.2A$24.2A59.2A4.A11.A41.2A.2A.4A66.A$17.4A.2A.2A59.A11.A4.2A30.A11.
A4.2A59.2A$18.2A4.A11.A59.2A.2A.4A28.2A4.A11.A59.2A.2A.4A$19.A11.A4.
2A59.2A34.4A.2A.2A59.A11.A4.2A$29.2A.2A.4A66.A34.2A59.2A4.A11.A$30.2A
101.A66.4A.2A.2A$38.A168.2A$200.A3$108.3A$109.3A16.3A$109.A17.3A$129.
A$109.A$109.A19.A$33.A74.A.A18.A$40.2A66.2A18.A.A74.A$33.4A.2A.2A66.A
19.2A66.2A$34.2A4.A11.A76.A66.2A.2A.4A$35.A11.A4.2A132.A11.A4.2A$45.
2A.2A.4A57.A72.2A4.A11.A$46.2A64.2A12.A57.4A.2A.2A$54.A56.A.A11.2A64.
2A$112.A12.A.A56.A$112.A13.A$126.A$112.A$110.3A13.A$111.2A13.3A$112.A
.A11.2A$124.A.A2$49.A$56.2A131.A$49.4A.2A.2A122.2A$50.2A4.A11.A111.2A
.2A.4A$51.A11.A4.2A100.A11.A4.2A$61.2A.2A.4A98.2A4.A11.A$62.2A104.4A.
2A.2A$70.A104.2A$168.A9$65.A$72.2A99.A$65.4A.2A.2A90.2A$66.2A4.A11.A
79.2A.2A.4A$67.A11.A4.2A68.A11.A4.2A$77.2A.2A.4A66.2A4.A11.A$78.2A72.
4A.2A.2A$86.A72.2A$152.A9$81.A$88.2A67.A$81.4A.2A.2A58.2A$82.2A4.A11.
A47.2A.2A.4A$83.A11.A4.2A36.A11.A4.2A$93.2A.2A.3A35.2A4.A11.A$94.2A5.
A35.3A.2A.2A$137.A5.2A2$107.A.A$109.2A18.A.A$109.3A16.2A$109.A17.3A$
129.A$109.A$109.A19.A$108.A.A18.A$108.2A18.A.A$109.A19.2A$129.A2$112.
A$112.2A12.A$111.A.A11.2A$112.A12.A.A$112.A13.A$126.A$112.A$110.3A13.
A$111.2A13.3A$112.A.A11.2A$124.A.A!
Background

I had a look to see if there was anything regarding p33n, after finding out there is a known statorless (and strictly volatile) p33 oscillator based on eight copies of Jason's p33 interacting with each other. I ran a search for glider collisions on this oscillator, but was not able to get any reaction that could form a glider loop (although I found some 180-degree reactions that can form glider relays).

Conversely, Golly's patterns folder has the following 90-degree glider reflectors (they are not statorless, however):

Code: Select all

x = 128, y = 63, rule = B3/S23
83bo$82bobo$81bo2bo2$31bo49bobo$30bobo47b2o$29bo2bo47b2o8bobo$81bobo8b
2o$29bobo60b3o$2obo4b2obo16b2o51bo10bo$ob2o4bob2o16b2o8bobo40bob2o$4b
2o6b2o15bobo8b2o50bo$4bo7bo27b3o36bobo10bo$5bo7bo15bo10bo37bo2bo9bobo$
4b2o6b2o15bob2o58b2o$2obo4b2obo28bo38bobo10bo$ob2o4bob2o15bobo10bo40b
2o$4b2o6b2o12bo2bo9bobo39b2o$4bo7bo26b2o38bobo13bo$5bo7bo13bobo10bo54b
2o$4b2o6b2o15b2o47bo2bo12bobo$2obo4b2obo17b2o48bobo13bo$ob2o4bob2o15bo
bo13bo36bo14bo$43b2o$26bo2bo12bobo58b2o$27bobo13bo58bo6b2o$28bo14bo13b
2o36bo12b2o$56b2o52bo$43bo8b2o4bo$41b3o8b2o49bo$42b2o58bo2bo$105bo$47b
2o44b2o8bo$93b2o22b2o$44b2o19b2o50bobo$65bobo34b3o12bo$49b2o14bo36bobo
$39b2o8b3o50bobo$39b2o8bo52b2o11bo$114bobo$49bo14bo50bo$49bo13bobo40b
2o8bo9bo$48bobo12bo2bo7bo30bobo8b3o6b2o$48b2o23b2o30bobo17bobo$49bo13b
obo7bobo29b3o$62b2o52b3o$62b2o52bo$52bo10bobo40bo9bo$52b2o50bo2bo8bo$
51bobo9bo2bo37bo11bobo$52bo10bobo39b3o10bo$52bo65bo$60b2obo54bo$52bo
10bo52b3o$50b3o$51b2o8bobo$52bobo8b2o51b3o$63b2o53bo$61bobo54bo$117bob
o$60bo2bo54bo$60bobo$61bo!
Finding stabilizations

Two separate stabilizations of two copies of Jason's p33 (here I am talking about two copies, each having one end cancel the other out without needing anything else) are known already; they are both in the statorless p33 above. I ran a search for more of these but only found two others. The four of them (not including reflections and rotations) are given below (note we are ignoring the odd keys which are intended to be temporary and are only here to make the pattern stable):

Code: Select all

x = 52, y = 226, rule = B3/S23
8bo$7bobo$6bo2bo2$6bobo$5b2o$5b2o8bobo$6bobo8b2o$17b3o$6bo10bo$6bob2o$
17bo$4bobo10bo$3bo2bo9bobo$16b2o$4bobo10bo$6b2o$6b2o$4bobo13bo$20b2o$
3bo2bo12bobo$4bobo13bo$5bo14bo2$20bo$18b3o$19b3o6$24bo$31b2o$24b4ob2ob
2o$25b2o4bo11bo$26bo11bo4b2o$36b2ob2ob4o$37b2o$45bo6$41bo7b2o$41bo2bo
2bo3bo$34b2o14bo$30b2ob4ob2ob2ob4obo$29bo15b2o$30bo2bo2bo2bo$31bo6bo
22$44bo$6bo36bobo$5bobo35bo2bo$4bo2bo$44bobo$4bobo39b2o$3b2o30bobo8b2o
$3b2o8bobo18b2o8bobo$4bobo8b2o16b3o$15b3o17bo10bo$4bo10bo27b2obo$4bob
2o27bo$15bo19bo10bobo$2bobo10bo18bobo9bo2bo$bo2bo9bobo18b2o$14b2o19bo
10bobo$2bobo10bo29b2o$4b2o39b2o$4b2o26bo13bobo$2bobo13bo12b2o$18b2o11b
obo12bo2bo$bo2bo12bobo12bo13bobo$2bobo13bo13bo14bo$3bo14bo$32bo$18bo
13b3o$16b3o13b2o$17b2o11bobo$18bobo22$5bo$4bobo$3bo2bo2$3bobo$2b2o$2b
2o8bobo$3bobo8b2o$14b3o$3bo10bo$3bob2o$14bo$bobo10bo$o2bo9bobo$13b2o$b
obo10bo$3b2o$3b2o$bobo13bo$17b2o$o2bo12bobo10bobo$bobo13bo13b2o$2bo14b
o13b3o$31bo$17bo$15b3o13bo14bo$16b2o13bo13bobo$17bobo10bobo12bo2bo$30b
2o$31bo13bobo$44b2o$44b2o$34bo10bobo$34b2o$33bobo9bo2bo$34bo10bobo$34b
o$42b2obo$34bo10bo$32b3o$33b2o8bobo$34bobo8b2o$45b2o$43bobo2$42bo2bo$
42bobo$43bo6$5bo$4bobo$3bo2bo2$3bobo$2b2o$2b2o8bobo$3bobo8b2o$14b3o$3b
o10bo$3bob2o$14bo$bobo10bo$o2bo9bobo$13b2o$bobo10bo$3b2o$3b2o$bobo13bo
$17b2o$o2bo12bobo$bobo13bo$2bo14bo11bobo$31b2o$17bo13b3o$15b3o13bo$16b
2o$17bobo11bo14bo$31bo13bobo$30bobo12bo2bo$30b2o$31bo13bobo$44b2o$44b
2o$34bo10bobo$34b2o$33bobo9bo2bo$34bo10bobo$34bo$42b2obo$34bo10bo$32b
3o$33b2o8bobo$34bobo8b2o$45b2o$43bobo2$42bo2bo$42bobo$43bo!
Unfortunately none of these allow for the 90-degree glider reflection(s) above without the glider passing through the oscillator.

So I went ahead and searched for a stabilization using three copies of Jason's p33. I found a number of them and decided to use this one, which is flat enough on its right side to allow for a 90-degree glider reflection without the glider passing through the oscillator:

Code: Select all

x = 60, y = 56, rule = B3/S23
15bo$14bobo$14b2o$14b2o$13b2o$13bo7bobo$13bo10bo$13b2o6bo3bo$14b2o6bo
2bo$13b3o9bo$14b2obo5bo$18bo4bobo$11b2o13bo$11b3o9bo$11b2o10b3o$12b2o$
13bo$13bo$12b2o$11b2o13b3o$11b3o14bo$11bobo11bo$12bo13bobo12b2o$28bo6b
o5bobo$26bo8bo5bo$26bobo4bobo$28bo4$34b3o13bo$26b2o7b3o11b2o$27bo7bo
13bobo$26b3o$26bo2bo5bo$27bobo5bo$28bo5bobo$19b2o13b2o$18b2ob2ob3o8bo$
8bo11bo4b2o30b3o$7b2o4bo11bo31bo$6b4ob2ob2o22bo19bo$13b2o23b2o$6bo30bo
bo$38bo$38bo4b2o$43b2o$38bo8b2o$36b3o7bobo$b2o7bo26b2o6b3o$o3bo2bo2bo
27bobo4bo$bo14b2o$2bob4ob2ob2ob4ob2o23bo2bo$5b2o15bo23bobo$12bo2bo2bo
2bo25bo$13bo6bo!
Then it is just a matter of using chains of the known two-copy forms to close the pattern. I elected to have all three ends line up on the same column and then just pasted in a glide reflection. This gives the result at the top of this post.

User avatar
LLAMASKYWALKER
Posts: 168
Joined: December 2nd, 2021, 1:02 pm

Re: Oscillator Discussion Thread

Post by LLAMASKYWALKER » December 10th, 2021, 8:46 pm

This looks pretty promising:

Code: Select all

x = 12, y = 15, rule = B3/S23
bo2bo2bo2bo$ob2ob2ob2obo$bo2bo2bo2bo$ob2ob2ob2obo$bo2bo2bo2bo$bo2bo2b
o2bo$ob2ob2ob2obo$bo2bo2bo2bo$ob2ob2ob2obo$bo2bo2bo2bo$bo2bo2bo2bo$ob
2ob2ob2obo$bo2bo2bo2bo$ob2ob2ob2obo$bo2bo2bo2bo!

Code: Select all

x = 5, y = 5, rule = B3/S12o3H
bo$2obo$3bo$b2obo$3bo!

Code: Select all

x = 15, y = 11, rule = 23/34/10
2$6.F.B$5.GICDA$4.H3I2D2A$4.I3.GF2A$7.FAD2A$8.2A!

Code: Select all

x = 8, y = 14, rule = B3-q4z5y/S234k5j
4b2o$4bo2bo$5b3o7$2o2b3o$2obo3bo$3bo3bo$3bo3bo$4b3o!
CGoL is my hobby

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LLAMASKYWALKER
Posts: 168
Joined: December 2nd, 2021, 1:02 pm

Re: Oscillator Discussion Thread

Post by LLAMASKYWALKER » December 10th, 2021, 9:43 pm

2 hw volcanoes:

Code: Select all

x = 24, y = 32, rule = B3/S23
8b2o4b2o$7bobo4bobo$7bo8bo$2bob2obobo4bobob2obo$2b2obobobo4bobobob2o$
7bobob2obobo$6bo2b2o2b2o2bo$6b2obo4bob2o$10bo2bo$4b5o6b5o$2obo16bob2o
$bob2o3b2o4b2o3b2obo$bo7b6o7bo$2b3o2b2o6b2o2b3o$4bo14bo3$4bo14bo$2b3o
2b2o6b2o2b3o$bo7b6o7bo$bob2o3b2o4b2o3b2obo$2obo16bob2o$4b5o6b5o$10bo2b
o$6b2obo4bob2o$6bo2b2o2b2o2bo$7bobob2obobo$2b2obobobo4bobobob2o$2bob2o
bobo4bobob2obo$7bo8bo$7bobo4bobo$8b2o4b2o!

Code: Select all

x = 5, y = 5, rule = B3/S12o3H
bo$2obo$3bo$b2obo$3bo!

Code: Select all

x = 15, y = 11, rule = 23/34/10
2$6.F.B$5.GICDA$4.H3I2D2A$4.I3.GF2A$7.FAD2A$8.2A!

Code: Select all

x = 8, y = 14, rule = B3-q4z5y/S234k5j
4b2o$4bo2bo$5b3o7$2o2b3o$2obo3bo$3bo3bo$3bo3bo$4b3o!
CGoL is my hobby

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JP21
Posts: 1876
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 11th, 2021, 5:34 am

There should really be a monomer of this.

Code: Select all

#N p12 honey farm hassler
x = 52, y = 23, rule = B3/S23
10b2o5bo$9bo2bo4b3o$4b2o3b2obo2b2o3bo$4bo2bobo2bobobo2b2o8b2o$b2obob2o
bo2bobo14bo$2bobo2bobobobobo11bobo$bo2b2obobo5bo11b2o5bo5b2o$bobo2bo
15bo9b3o4bo2bo$2obobo7b3o4b2ob2o6bo3b2o2bob2o3b2o$bobo2bo15b3o6b2o2bob
obo2bobo2bo$bo2b2obobo5bo21bobo2bob2obob2o$2bobo2bobobobobo20bobobobob
o2bobo$b2obob2obo2bobo21bo5bobob2o2bo$4bo2bobo2bobobo2b2o6b3o15bo2bobo
$4b2o3b2obo2b2o3bo6b2ob2o4b3o7bobob2o$9bo2bo4b3o9bo15bo2bobo$10b2o5bo
5b2o11bo5bobob2o2bo$22bobo11bobobobobo2bobo$22bo14bobo2bob2obob2o$21b
2o8b2o2bobobo2bobo2bo$31bo3b2o2bob2o3b2o$32b3o4bo2bo$34bo5b2o!

hotdogPi
Posts: 1627
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » December 11th, 2021, 11:37 am

p11 bouncer, repeat time 22

Code: Select all

x = 74, y = 74, rule = B3/S23
39b2o$39bobo$29bo11bo$29b3o5b4ob2o$32bo4bo2bobobob2o$31b2o5b2o2bobob2o
$39b2o3bo$34bo9bo$33bobo4bob2o$29b2o2b2o5b2o$29b2o12b3obo$44bob2o$32bo
9bo$32b2o8b2o$31bobo$38bo$36bobo$37b2o$26b2o$27b2o$4b2o4b2o14bo16bo$4b
2o5bo32bo$10bo31b3o$4b4o2b2o9bo$3bo4bobo2bo7b2o$3b4obo3b2o6bobo$b2o5b
2o39bo$o2b2ob3o38bobo$2obob2o41b2o$3bo11b2o$3b2o11b2o$15bo38bo$8bo46bo
$7bobo43b3o$8b2o3b2o$4b2o7bobo47b2o5b2o$3bobo7bo49b2o5bo$3bo5b2o49bo7b
obo$2b2o5b2o47bobo7b2o$59b2o3b2o$18b3o43bobo$18bo46bo$19bo38bo$56b2o
11b2o$57b2o11bo$24b2o41b2obob2o$24bobo38b3ob2o2bo$24bo39b2o5b2o$51bobo
6b2o3bob4o$51b2o7bo2bobo4bo$52bo9b2o2b4o$29b3o31bo$29bo32bo5b2o$30bo
16bo14b2o4b2o$45b2o$46b2o$35b2o$35bobo$35bo$40bobo$30b2o8b2o$31bo9bo$
26b2obo$26bob3o12b2o$32b2o5b2o2b2o$30b2obo4bobo$29bo9bo$29bo3b2o$26b2o
bobo2b2o5b2o$26b2obobobo2bo4bo$30b2ob4o5b3o$32bo11bo$32bobo$33b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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otismo
Posts: 1227
Joined: August 18th, 2010, 1:41 pm
Location: Florida
Contact:

Re: Oscillator Discussion Thread

Post by otismo » December 12th, 2021, 1:49 am

A NoteWorthy ?

p8 Oscillating Eater

for our p16 Oscillating Glider Gun :

Code: Select all

#C [[ ZOOM 2.1 ]]
#C [[ GPS 10 ]]
#C [[ AUTOSTART ]]
x = 274, y = 242, rule = B3/S23
11$19b2o13b2o21bo$15b2obo2bo3b2ob2o3bo2bob2o$16bob3obo2b2ob2o2bob3obo
16b3obo$13b3o6bo9bo6b3o12bob2o$13bo2b6ob9obob4o2bo12b2obo$15bo5bo3bo5b
obo4bo13bob3o$6b2o8bo2b2obo3b3o3b2o2bo8b3o2b2o$6b4o6bo2bo7bobo4bo2bo5b
5o6bo$6b2obobo6bo9b3o3b3o4b7o$6b2obo2bob2o12b3o6bob3o10bo$6b2obo2bob2o
12b3o6bob3o$6b2obobo6bo9b3o3b3o4b7o5b3o61bo2bo42bo2bo$6b4o6bo2bo7bobo
4bo2bo5b5o5bo63b6o40b6o$6b2o8bo2b2obo3b3o3b2o2bo8b3o6bo59bo8bob2o33bo
8bob2o$15bo5bo3bo5bobo4bo72bo2b8obobobob2o26bo2b8obobobob2o$13bo2b6ob
9obob4o2bo15b3o51b3o7bobo3b2ob3o24b3o7bobo3b2ob3o$13b3o6bo9bo6b3o15bo
56b2o3bo3bo2b3o4bo26b3ob2o3bo2bo6bo$16bob3obo2b2ob2o2bob3obo19bo52b2ob
o3bob4ob2o3b3o24b2obo5b4obo3b4o$15b2obo2bo3b2ob2o3bo2bob2o64bobo4bo2bo
4bo5bo3bobo18bobo4bobo5bo5bo5bo$19b2o13b2o25b3o38b4obo5b2o2b2o2b2obo8b
o14b4obo4b2o4bo2b2obo4bo3bo$61bo39bo5bo7b3o4bob4ob5o13bo5bo5bo2b2o4bob
4o2b4o$62bo38b2ob2obob2o2b3obo4bo4b2o18b2ob2obob2o2b3o6bo4b2o$102bobob
obobo3b2ob2o4b3ob5o16bobobobobo6bo5b3o3b3o$65b3o34bo5bo5b2obob2o4b2o5b
o15bo3bobo7b2obo5b2o5bo$65bo35b2ob2obobo3bo3bob2o6b5o15b2obo4bo3b3obob
2o8b3o$66bo36bobob3o2bo4bobo5bo2b2o9b2ob2o5bobo2b2o3b3o9b2ob2o9b2ob2o$
103bo2b3o4bobo2bo6bob3o3b2obobobobo6bo2bobo4b2o2b2o5bo8b2o3bobobo$69b
3o32b2obobo8b3o3b2o6bo7bo2bo6b2o4bo8bobo6bo3bob5obo2bo$69bo39bo10bo11b
2o4bo2b3o10bo11bo3b2obo5bob2ob2ob3o$70bo37b2o23bob4o15bo3bobo18bobo4bo
$108b2o7bo13bo6bob2o13bo3b3o15b3o4bob2o$73b3o32b2o6b2o15bo3bo4bo11bo4b
ob2o14b3o4b2o2bo$73bo15b2o7b2o9bo7bo15bo4bob3o11bo3b4o14b2o6b5o$74bo
14bo2b2ob2o2bo4b2obobo14bo4bo2bo17b2o4bo3bo9bo5b3o$90b2obobob2o4bo2b3o
13b2ob2o6bo4bob3o6bo2bobo11bo3bobo3b2o6b5o$77b3o11bobobobo5bobob3o8bo
5bo8bo3bo4bo6bobo2b2o8b2o4bo6b3o4b2o2bo$77bo13bob3obo3b2ob2obobo7bo13b
o6bob2o5b2obo4bo9b2o10b3o4bob2o$78bo13b5o5bo5bo8b3o13bob4o9bo3bobo24bo
bo4bo$102bobobobobo21b2o4bo2b3o4bobobobobo22bob2ob2ob3o34bo2bo$81b3o
17b2ob2obob2o10b2o9bo7bo2bo3b2ob2obob2o10b2o9bob5obo2bo34b6o$81bo19bo
5bo14bo10b2obobobobo4bo5bo6bo7bo10b2o3bobobo32bo8bob2o$74b2o6bo10b3o6b
4obo4bo6b3o17b2ob2o4b4obo4b2o5b3o17b2ob2o28bo2b8obobobob2o$73bobo18bo
9bobo4bo7bo30bobo6b2o4bo52b3o3bo3bobo6b3o$72bo12b3o6bo16b3o107b2o3bo3b
obo2bo4bo$68b2obob2o3bo6bo132b2obo3bob4obo2b5o$68bob2obo4bo7bo20b2o10b
2o10b2o10b2o10b2o13b2o2bo11bo2b2o20bobo4bo2b2obobo5b2o4bo$72bob2obob2o
25b4o8b4o8b4o8b4o8b3o12bob4o11b4obo17b4obo5b2o2b2o2b2obo3b2o3bo$69b2o
3bo5bo8b3o13b2ob2o7b2ob2o7b2ob2o7b2ob2o6b2ob3o11bo5b2o7b2o5bo16bo5bo
14bob4ob5o$69bo2bo8b2o6bo16b2o10b2o10b2o10b2o10bo13b2ob2obo2bo5bo2bob
2ob2o15b2ob2obob2o2bo8bo$70b2o9b3o6bo78bobo2b2obo5bob2o2bobo17bobobobo
bo6bobo3b3o3b3o$67b3o2bobo6b3o84bo3bo3bo7bo3bo3bo16bobobobo4bobobo2bo
4bo6bo$67bo2bo2b2o6b3o9b3o67b2o4b3o2b4o5b4o2b3o16b2ob2obobo3b2o2bo7bob
o2b2o$68b2o11b3o9bo69bobo6b2ob2o2b3o2b2ob2o21bobo3bo2b3ob2ob2o14b2obo$
81b2o11bo32bob2o32bo7bo2b2ob7ob2o2bo20bo13bo2bo4bobobo5bob2o$81bo45b2o
bo40b2o15b2o21b2obobo8bobo3b3obo10b2o$79bobobo41b2o25b2o38b2ob2o19b2o
9bo15b2o3bo$78bobob2o40bo3b2o16bo4bobo5bobo17bo5bo7bobo21bo20b2o3bob2o
bo$78bobo43bob2obo3b2o9b3o6bo4bob4o5b2o8bo4bobo2bobo3bo18bo2bo3bo16bob
o3bo2bo$79b2o44bo2bo3bobo8bo14bo5bo4bobo6bobo6b3ob4ob2o19bo2b2o19bo3bo
$101b3o23bo4b2o9b2o10b2obob2ob2o4bo9bo4bo2b4o3bobo19b2o3bo17bo3bob2o$
101bo27b2obo22bobobobobo15bo10bo5bo14b2obobo10bobo4bo4bo3b4o$102bo23bo
2bo3b2o11b2o9bobobobo21b7o4bob2o10bo16b2o3b2ob2o2b3obo$126bo2b3o2bo10b
obo8bobo4b2o18b2o3bo2bobo2bobo11bobo3bo11bo5bo4b2o3bobo$87b3o15b3o20b
2o4bo5b2o5bo9bob2obo5b2o5b2o6bob3o4bobobobo9b2ob2obobo22b3obo$87bo2bo
14bo20bo2b3o2bo5b3o14bob2obo6bo5bobo4b2o2b2o5bo2bob2o9bobobobo23bo3b4o
$87bo18bo19bo2bo3b2o5b2o13b3o3bo7bobo3bo15bobob2obo10bobobobobo21bo3bo
b2o$87bo41b2obo15bo6b3o12b2o17b3obo4bo9b2ob2obob2o3bobo4b2o11bo3bo$88b
obo36bo4b2o14bobo3b2o32bo4b5o10bo5bo6b2o6bo8bobo3bo2bo$125bo2bo3bobo
13bo5b3o26bo4bob2o17b4obo7bo3b3o9b2o3bob2obo$100bobobobo17bob2obo3b2o
19b2o20bo6b3ob2obob2o2b2o13bobo12bo16b2o3bo$99bob2ob2obo16bo3b2o10bo5b
o8b3o17b3o9bo2bo2b2o2bo48b2o$99bo7bo5b3o9b2o10b5o2b2o9b3o3bo12b2ob2o5b
obob3o3b3o26b2o11b2o4bob2o$97b2ob7ob2o3bo13b2obo6b2ob2o2b2o2b2o2bo4bob
2obo12b3o6b3ob2o4b2o19bobo4bo2bo9bo2bo3b2obo$96bo3bo2bo2bo3bo3bo12bob
2o4bobo7b2ob4obo3bob2obo11bo2bo6b3obobobo3bo18b2o5bobo3b2ob2o3bobo$96b
obo9bobo23bo4bo5b2obo7bobo4b2o21bobobo2bob2o19bo3b2o2bobo7bobo2b2o$94b
obo13bobo4b3o13bo2bo3bo7bo3bo4bobobobo8bo5bo7bobobob2obo25bobobo4bo4bo
bobo$93bobob3o2b3o2b3obobo3bo16b2o4b3o4bobobo3bobobobobo5b2o4bo4b2o5bo
2bo2bobo24bo2b2o2b7o2b2o2bo$93bobo15bobo4bo18bo5bo11b2obob2ob2o3bob2ob
2ob2ob2obo7b2o2bo25b2o5bobobobo5b2o$94bob2obobo3bobob2obo19b5ob4obo7b
2o5bo5bo3bo13bo26bobo17bobo$96bo2bobo3bobo2bo21bo3b2o3bob2o2b6o5bob4o
7bo7bo29b2o14b3o5b3o9b2o2bo$96bo13bo5b2o16bo3b3o5bob3o3bo4bobo6bo2bo7b
o2bo11b2o5b2o7bo13bobobo3bobobo5bo2bo2bobo$88b2o7b2ob2o3b2ob2o6bobo14b
6obob4obobo3b2o16bobo3bobo15bo5b2o21b2o2b5o2b2o4bobobob2obo$87b3o11b5o
13bo12bo4bo4bo3b2o2b2o16bob3obobob3obo12bobo42bo2bobo2bob2o$86bo30b2ob
o4b3o5b3obobo2bobo3bo3b3o12bo15bo12b2o3b3o38bo2b2obo2bo$87bo22bo7bobo
4bo9b2o3bobob8o2bo12b3o2bobobobo2b3o16bo4bo32b3o3bobob3o$110b3obobo3b
2o4bo12b2obo8bo18bobobobobobo18bo4bo33b2o5bob2o$110b2o4b4o2bo20b6o18b
2obo2b2ob2o2bob2o12bo3b5o26bo6bo2bo3bobo2bobo$87b3o14bo7bo4bobobobo5b
3o13bo2bo18bob2o9b2obo12b2o32bobo4b3o2b2obob2o2b2o$87bo2bo6b2o4bobo4bo
10bobo5bo65b2obo30bo3bo4b2o3bob2o$87bo8b2o4bo3bo2b5o2b2o2b2ob2o5bo63bo
2b3o10bo19bobo10bo4b5o$87bo10bo4bobo2bo7bobo2bo71bobobo13bo13b2o4bo12b
3obo4bo$88bobo2b2o9bo5bo2bo3bobobo70bobobo12b3o12bobo11b2o6bobob2obo$
94bo12b4obo5bo2bob2o65b3o2bo28bo13b4o6bo2bob2o$94bobo4bo14bobob2obo67b
ob2o28b2o3bo8bo2b2o5bobobobo$95b2o3b3o11b3obo4bo68b2o33bo5b3o7bo2bob2o
bobo$99bobobo9bo4b5o14b3o14b2o37bo22bo10b3o9b4o3b2o2b2ob2o$98b3ob3o3bo
4bob2o20bo12b2obo2bob2o57bo15bobo3b2o2bo2b3o2bo$99bobobo4b2ob3obob3ob
2o7b2o6bo11bo4bo2b2o55b3o16bo5bo5b2obobo$100b3o5bo6bobo4bo6bobo22bo85b
o2bob2o2bob2o$66b2o11b2o6b3o11bo7bobo3bo5bo6bo12b3o7bobo68bo16bo2bo2b
2o3bo$65bo2bo9bo2bo5bo2bo17bo7bob2o4b2obob2o3bo6bo79bo18bo7bobo$65bobo
11bobo5bo21bo3bob2obo2bo2bob2obo4bo7bo20b2o22b2o10b2o10b2o8b3o10b3o10b
2ob2o$63b2o2bo4b3o4bo2b2o3bo23bobobo2bob2o6bob2obob2o25b4o20b4o8b4o8b
4o18b7o$64bobob4obob4obobo5bobo20bobobob2obo4b2o3bo5bo24b2ob2o19b2ob2o
7b2ob2o7b2ob2o11b2o2bo2b2obob2o2bo2b2o$63bo2b2ob2o5b2ob2o2bo12b2ob7ob
2o3bo2bo2bobo4bo2bo8b2o23b2o22b2o10b2o10b2o13bo4b4o3b4o4bo$63b2o5bo5bo
5b2o11bob2o2b3o2b2obo5b2o2bo6b2o9b3o78bo7b4o11b4o$70bo5bo19b4o5b4o14b
3o2bobo6b3o77b2o11b2o7b2o$54bo2b2o9b4o3b4o44bo2bo2b2o6b3o9b3o65bobo6b
5obo2bo2bob5o$53bobo2bo2bo5bo3bobobo3bo17b2o7b2o16b2o11b3o9bo27b2o13bo
32bo6b7o6bo$53bob2obobobo4b2ob7ob2o16bo3bo3bo3bo28b2o11bo25bo2bo12b3o
16bo14b3obo9bob3o$52b2obo2bobobo9b3o22b4o3b4o29bo39b2o9b2o5bo10bo3bo2b
o14b2obob2ob2obob2o$52bo2bobo2bob2o23b3o4bo2bobo5bobo2bo24bobobo34b3o
2b3o6bobo3bo10bob2o4bo2bo7bo5b2obo3bob2o$53bo5bo3bobo21bo2bo3b3obo7bob
3o23bobob2o33bo3bobo2bo5bo5bo3bo6bo3bo4b2obo5b2o5bo2bo3bo2bo$52b2o4b2o
6bo20bo9bobobobobobo26bobo36b2o2bob3o16bo10bob2obo2bo5bobo5b2o5b2o4b2o
$51bo2bo3bo2bobo8bo14bo6b2obo2b2ob2o2bob2o24b2o34b2o3bobo2bo15bo7bobo
2bobobo28bobo$51b2o2b2obob2obo2bo4b3o14bobo3bob2o9b2obo59bo2b2o3bo3b2o
16bo3b2o8bo3bo24bo$57b2obo3bobo3b2ob2o96bobo7b3o7bo2b2o4b2o2bo9bo3b3o
16b2o2b2ob4o$51b5o4bo10b3o20bob2o9b2obo59b2obo4bo4b2o6bo2bo5bo3bo2bo6b
o6bo8bo6bo2bobo4bo$50bo4bob3o12bo4b2o15b2obo2b2ob2o2bob2o62b2ob3o3b3o
9bo9bo9bo3b3o8b2o8b2obo2bo2b2o$50bob2obobo7bo11bobo17bobobobobobo35b3o
15b3o6b2obo4bo4b2ob3o7b2o6b2o8bo3bo10bobo8bobo3b2o2bo$49b2obo2bo6bo3bo
12bo14b3obo7bob3o32bo2bo14bo9bobo7b3o21bobo2bobobo25bob2obo2b2obo$50bo
bobobo4b2o2bo3bo9b2o13bo2bobo5bobo2bo32bo18bo7bo2b2o3bo3b2o25bob2obo2b
o23bo4bo4bo$50bobobo2bo6bo4bo4bobo20b4o3b4o35bo27b2o3bobo2bo10bo5bo6bo
3bo4b2obo24b3obob3o$49b2obo5bob3obo3bobo4b2o10b3o6bo3bo3bo3bo35bobo26b
2o2bob3o11b2o2b5o3bob2o4bo2bo19bo7b5o$52bobo3bo2bo7bo5bo11bo2bo6b2o7b
2o65bo3bobo2bo3bo2b2o2b2o2b2ob2o4bo3bo2bo21b2o$52bobo4bo2b2o5bo17bo68b
obobobo11b3o2b3o3bob4ob2o7bobo7bo23bobo$51b2ob2o3bo2b3o22bo8b4o5b4o46b
ob2ob2obo13b2o11bob2o5bo4bo$53bo2b4o2b3o23bobo4bob2o2b3o2b2obo45bo7bo
12bo2bo6bo3bo7bo3bo2bo$53bobobo10bo11bobo13b2ob7ob2o44b2ob7ob2o11b2o8b
obobo4b3o4b2o40bo$52b2ob2o24b2o69bo3bo2bo2bo3bo28bo5bo38b2o2bobo$65bo
5bo9bo9b2o23b2ob2o31bobo9bobo19b2o7bob4ob5o32bobo2b2o$58b2o3bo4bo4bo3b
2o12bobo15bo7bobo30bobo13bobo4b3o5b2o3b6o2b2obo3b2o3bo34bo6b2o$58bo4b
2ob2ob2ob2o4bo12bo16bobo2bobo3bo29bobob3o2b3o2b3obobo3bo7bo2bo3b3obo5b
3o3bo8b2o33bobo$59b4o11b4o33b3ob4ob2o27bobo15bobo4bo7bob2o3bobob4obob
6o6bo2bo15bo11b2o5bo$64bo7bo12bo22bo2b4o3bobo29bob2obobo3bobob2obo14bo
3b2o2b2o3bo4bo4bo6b2o14b3o11b2o5b2o$59b5obo2bo2bob5o7b2o16bo10bo5bo31b
o2bobo3bobo2bo17b3o3bo3bobo2bobob3o4b3o2b3o10bo5b2o$58bo4bob7obo4bo5bo
bo10b2o3b3o4b7o4bob2o28bo13bo5b2o12bob7obobo3b2o5bo3bobo2bo10bo3bobo$
59b3ob2o7b2ob3o19bobo7b2o3bo2bobo2bobo21b2o7b2ob2o3b2ob2o6bobo12bo8bob
2o9bobobo4bo6bo3bo5bo12b2ob2o$61bo2bob5obo2bo16b2o3bo9bob3o4bobobobo
20b3o11b5o13bo12b3o2b3o11b2o4bob2o8bo16b2o3bobobo$64bobo3bobo20bo12b2o
2b2o5bo2bob2o18bo30b2obo13bo2bo12bo2b2o7bo7bo14bob5obo2bo$52bob2o7bo2b
o2bo3bo5bo13bobo19bobob2obo20bo22bo7bobo30bobo5b2ob2o3bo18bob2ob2ob3o$
52b2obo8b2o3bob2o6b2o13b2o4bo12b3obo4bo43b3obobo3b2o28b2obo3bo5bo2b2o
4b2o2bo9bobo4bo$50b2o14b4obo6bobo19bo11bo4b5o44b2o4b4o2bo30b2o2bo5bo3b
o5bo2bo7b3o4bob2o$49bo3b2o11bo5bo11bobo12bobo5bo4bob2o27b3o14bo7bo4bob
obobo5b3o18b2obo3bo5bo9bo10b3o4b2o2bo$49bob2obo3b2o9b3o11bob4o11bo6b3o
b2obob2o2b2o21bo2bo6b2o4bobo4bo10bobo5bo21bobo5b2ob2o6b2o7b3ob2o6b5o$
50bo2bo3bobo8bo14bo5bo10bo10bo2bo2b2o2bo21bo8b2o4bo3bo2b5o2b2o2b2ob2o
5bo19bo2b2o7bo20b3o$52bo3bo11b2o3bo6b2obob2ob2o18bobob3o3b3o22bo10bo4b
obo2bo7bobo2bo29b2o4bob2o22b2o6b5o$51b2obo3bo14b2o5bobobobobo19b3ob2o
4b2o24bobo2b2o9bo5bo2bo3bobobo31bobobo4bo6bo5bo8b3o4b2o2bo$51b4o3bo7bo
5bobo7bobobobo12bo6b3obobobo3bo11b3o15bo12b4obo5bo2bob2o28bo3bobo2bo3b
5o2b2o9b3o4bob2o$54bob3o6b3o13bobob2ob2o20bobobo2bob2o14bo14bobo4bo14b
obob2obo30b3o2b3o4b2ob2o2b2o2b2o2bo4bobo4bo$51bobo3b2o5bobobo12bo3bobo
10bo5bo5bobobob2obo11bo3bo15b2o3b3o11b3obo4bo33b2o5bobo7b2ob4obo3bob2o
b2ob3o$54bob3o4b3ob3o17bo7b2o4bo4b2o3bo2bo2bobobo8bobo2bo19bobobo9bo4b
5o33bo2bo3bo4bo5b2obo7bob5obo2bo$51b4o3bo5bobobo4bo7bobob2o7bob2ob2ob
2ob2obo5b2o2b2ob3o4bo2bobo20b3ob3o3bo4bob2o40b2o3bo2bo3bo7bo3bo4b2o3bo
bobo$51b2obo3bo6b3o4bobo5b2o12bo13bo15bo3bo3bo22bobobo4b2ob3obob3ob2o
40b2o4b3o4bobobo11b2ob2o$52bo3bo9bo4bo3bo4bo16bo7bo17b2o3bo27b3o5bo6bo
bo4bo24b2o17bo5bo$50bo2bo3bobo12bobo5bo2bo10bo2bo7bo2bo20b3o11b3o11bo
7bobo3bo5bo19b3o3b2o12b5ob4obo7b2o$49bob2obo3b2o13bo6bo16bobo3bobo20bo
16bo2bo17bo7bob2o21bo19bo3b2o3bob2o2b6o$49bo3b2o15bo9b2o12bob3obobob3o
bo16bobo15bo21bo3bob2obo2bo20bo20bo3b3o5bob3o3bo$50b2o10bob3o3bobo8bob
ob2o6bo15bo11b2o2b2o16bo23bobobo2bob2o40b6obob4obobo3b2o$52b2obo5bobob
o4bo2bo13bo5b3o2bobobobo2b3o11b2o2b2o17bobo20bobobob2obo40bo4bo4bo3b2o
2b2o$52bob2o14b2ob2ob3o2bo3bobo8bobobobobobo18b2o25b2ob7ob2o3bo2bo2bob
o17b3o21b3obobo2bobo3bo3b3o$59b2o2bobo7bo2b2o3bobob2ob2o3b2obo2b2ob2o
2bob2o14bobo24bob2o2b3o2b2obo5b2o2bo20bo6b3o14b2o3bobob8o2bo$58bo6bo4b
o2bobobo4bobobobo4bob2o9b2obo16bo25b4o5b4o30bo7bo20b2obo8bo$59b3o3b3o
3bobo6bobobobobo115bo23b6o$68bo8bo2b2obob2ob2o63b3o5b3o6bo59bo2bo$57b
5ob4obo14bo5bo63b2obo3bob2o5b2o28b2o$57bo3b2o3bob2o2b2o2b2o5bob4o30b2o
9bobo20bobo5bobo4bob2o16b3o8b2o$59bo4b2o5bobob2o2bo4bobo31bobo10b2o10b
3o9b3ob3o5b3o2bo17bo18b3o11b2o2bo11bo2b2o$58b5o2bob4obo3bob2o40bo10bo
11bo2bo6bo2bo3bo2bo5bobobo15bo6b2o5b2o4bo12bob4o11b4obo$57bo4bo2bobo3b
o3b2o66bo9b4o3b4o6bobobo20bo2bo3bo2bo4bo11bo5b2o7b2o5bo$58b3o6bobo3bo
3b3o3b2o2bo11bo2b2o39bo27bo2b3o19bobo3bobo16b2ob3o3bo5bo3b3ob2o$60b2ob
obobob8o2bo2bob4o11b4obo39bobo6b2ob2ob2ob2o8b2obo17bo2bob2ob2obo2bo14b
obo3b2o7b2o3bobo$64b2obo8bo5bo5b2o7b2o5bo8b2o21bobo13bobo3bo3bobo8b2o
7b3o6b3ob2o7b2ob3o11bo3b2ob2o7b2ob2o3bo$68b6o7b2ob2obo2bo5bo2bob2ob2o
6bobo22b2o13bo3bobobo3bo8bo3bo6bo5bo4bob7obo4bo4b3o4b3o2bo11bo2b3o$70b
o2bo8bobo2b2obo5bob2o2bobo9bo22bo9b2o4b3o5b3o12bobo4bo7b5obo2bo2bob5o
5bo9b2ob4o3b4ob2o$81bo3bo3bo7bo3bo3bo41bobo6b5o16b2o17bo7bo11bo7bo2bo
2b2obob2o2bo2bo$82b3o2b4o5b4o2b3o42bo7bo5bo11b2o16b4o11b4o14b2o4b7o4b
2o$85b2ob2o2b3o2b2ob2o54b5o11bobo10bo4bo4b2ob2ob2ob2o4bo21b3o10b2ob2o$
84bo2b2ob7ob2o2bo4b2o32bo16bo13bo5b2o4b2o4b2o3bo4bo4bo3b2o21bo5bo7bobo
$84b2o15b2o3bobo32b2o28b2o5b2o4bobo10bo5bo17b3o7bobo3bo2bo2b2o3bo$77b
2ob2o26bo31bobo10b2o57b2ob2o4bo8bo3bo3bo2bob2o2bob2o$78bobo7bo64bobo
43bo11bobobo6bo8bobo4bo5b2obobo$78bo3bobo2bobo20bob2o39bo26b2obo20b3o
2b4o2bo16bo4b2o2bo2b3o2bo$76b2ob4ob3o7bo15b2obo66bob2o7bo6b3o3b3o2bo3b
2ob2o19b4o3b2o2b2ob2o$77bobo3b4o2bo3b3o5b2o5b2o25bo8b2o2b2o34b2o4b2o
13b2o2bo4bobo24bo2bob2obobo$77bo5bo8bobobo3bobo4bo3b2o16bo5b2o5bo2bo2b
o2bo12bo16b2o3bo3bobo14bo2bo3bobo4b2o4b3o5bo2b2o5bobobobo$74b2obo4b7o
6b3o4bo4bob2obo3b2o9b3o4bobo4bob2o4b2obo6b2o3b3o9b2o3bob2obo17bob3obo
5bob2o2bo4bo8b4o6bo2bob2o$75bobo2bobo2bo3b2o2b2obo11bo2bo3bobo8bo14bo
3b4o3bo6bobo5bo8bobo3bo2bo18bo6bo2bobobo3bobo3bo7b2o6bobob2obo$75bobob
obo4b3obo3b3o7b2o4bo3bo11b2o10b2obob2o4b2obob2o3bo6b2o9b2o4bo4b2o13bo
2b2o4bobobobo4b2o17b3obo4bo$74b2obo2bo5b2o2b2o2bobo7bo4b2obo3bo21bobob
obob2obobobobo22bob2o7bo7bo4bo3bo6bo2bob2o21bo4b5o$75bob2obobo13b3o2b
2obo4b4o3bo12bo10bobobob2obobobo22b2o3bo2bo4bobo4b2o5bo7bobob2obo10bo
6b2o3bob2o$75bo4bob3o16bobo8bob3o12b2o8bobob2o7bobo21bo2b3o2bo5b2o4bob
o10b3obo4bo9b3o4b3o2b2obob2o2b2o$76b5o4bo8bo14bobo3b2o7bo3bobo8bo3bob
4ob2obo11b2o4b3o2bo4b2o25bo4b5o9bobobo4bo2bo3bobo2bobo$82b2obo4bobobo
5b2o10bob3o6b2o20bo2bob2obo11bobo3bobo2bo2b3o2bo8bo8bobo3bob2o24b2o5bo
b2o$76b2o2b2obob2ob3obobo5bo8b4o3bo7bo8bo5bobob2o4bo3b3o9bo5b3o2b2o3bo
2bo8bo8bo2bob2obob2o2b2o18b3o3bobob3o$76bo2b2o2bo2bo22b2obo3bo15bo5b2o
13b3o2b2o18bob2o14bo8bobo2bo3bo2bo22bo2b2obo2bo$77b3o3b3obobo6b3o11bo
3bo16b3o4bo16b2ob3o16b2o4bo11b3o4bo6b2o4b2o21bo2bobo2bob2o$78b2o4b2ob
3o18bo2bo3bobo14bo5bo2bo12b3ob2o16bobo3bo2bo9b3o5bobo3bo5bo6b2o2b5o2b
2o4bobobob2obo$77bo3bobobob3o7bo9bob2obo3b2o15bo4bo16b2o19b2o3bob2obo
18b2obo2bobo2bo5bobobo3bobobo5bo2bo2bobo$77b2obo2bobobo19bo3b2o15bo9b
2o13b3o8bo5bo10b2o3bo7b3o9bobobo2bob2o6b3o5b3o9b2o2bo$78bob2obobobo4b
2obo5bob2o3b2o10bob3o3bobo8bobob2o4bo3b3o9b2o2b5o10b2o3b2ob7ob2o4bobob
ob2obo11bobo$78bobo2bo2bo5bo5bo5bo5b2obo5bobobo4bo2bo13bo2bob2obo4bo2b
2o2b2o2b2ob2o6bob2o5bo3bobobo3bo5bo2bo2bobo2b2o5bobobobo5b2o$79bo2b2o
9b2ob2ob2ob2o6bob2o14b2ob2ob3o2bo3bob4ob2obo3bob4ob2o7bobo4b2obo6b4o3b
4o9b2o2bo3bo2b2o2b7o2b2o2bo$117b2o2bobo7bo2b2o3bobob2o7bobo7bob2o5bo4b
o15bo5bo20bobobo4bo4bobobo$88b2o5b2o3b2o5b2o7bo6bo4bo2bobobo4bobobob2o
bobobo4bo3bo7bo3bo2bo7b2o5bo5bo5b2o12b2o2bobo7bobo2b2o$88bo2b2o11b2o2b
o8b3o3b3o3bobo6bobobobob2obobobobo3bobobo4b3o4b2o8bo2b2ob2o5b2ob2o2bo
14bobo3b2ob2o3bobo$89bobo4bobobo4bobo18bo8bo2b2obob2o4b2obob2o11bo5bo
12bobob4obob4obobo15bo2bo9bo2bo$88b2o2bob9obo2b2o6b5ob4obo14bo3b4o3bo
5b2o7bob4ob5o6b2o2bo4b3o4bo2b2o15b2o11b2o$90bob2o4bo4b2obo8bo3b2o3bob
2o2b2o2b2o5bob2o4b2obo5b6o2b2obo3b2o3bo8bobo11bobo$90bo2bo9bo2bo10bo4b
2o5bobob2o2bo4bo2bo2bo2bo4bo3b3obo5b3o3bo10bo2bo9bo2bo$91b2o11b2o10b5o
2bob4obo3bob2o6b2o2b2o6b2o3bobob4obob6o10b2o11b2o$115bo4bo2bobo3bo3b2o
24b2o2b2o3bo4bo4bo$116b3o6bobo3bo3b3o18b3o3bo3bobo2bobob3o$118b2obobob
ob8o2bo18bo2b8obobo3b2o$122b2obo8bo24bo8bob2o$126b6o30b6o$128bo2bo30bo
2bo!
Dual :

Code: Select all

#C [[ ZOOM 1.2 ]]
#C [[ GPS 10 ]]
#C [[ AUTOSTART ]]
x = 455, y = 218, rule = B3/S23
257bo$219b2o13b2o21b2o$196b3o16b2obo2bo3b2ob2o3bo2bob2o16b2obo$196b3o
17bob3obo2b2ob2o2bob3obo16bo2b3o$196b3o14b3o6bo9bo6b3o12bobobo$199b3o
11bo2b6ob9ob6o2bo11bobobo$199b3o14bo2bo3bo7bo7b2o10b3o2bo$199b3o5bo8b
4o2b2o3b2o4bo3b3o12bob2o$206b2o18bobo4bo2b2obo4b2o2b2o3b2o$207b4o9bo6b
2o6b2ob3o2bob2ob3o3bo$207bo3b2ob2o10b3o9bo3b2ob2ob3o$207bo3b2ob2o10b3o
9bo3b2ob2ob3o$88bo2bo42bo2bo69b4o9bo6b2o6b2ob3o2bob2ob3o66bo2bo42bo2bo
$86b6o40b6o60b2o6b2o18bobo4bo2b2obo4b2o2b2o67b6o40b6o$82b2obo8bo33b2ob
o8bo56bobo7bo8b4o2b2o3b2o4bo3b3o16b2o56bo8bob2o33bo8bob2o$78b2obobobob
8o2bo26b2o3bobob8o2bo55bo16bo2bo3bo7bo7b2o15bobo52bo2b8obobo3b2o26bo2b
8obobobob2o$76b3o6bobo3bo3b3o24b3obobo2bobo3bo3b3o69bo2b6ob9ob6o2bo14b
o54b3o3bo3bobo2bobob3o24b3o3bo3bobo6b3o$75bo4bo2bobo3bo3b2o26bo4bo4bo
3b2o2b2o53b2o17b3o6bo9bo6b3o72b2o2b2o3bo4bo4bo26b2o3bo3bobo2bo4bo$76b
5o2bob4obo3bob2o24b6obob4obobo3b2o49bobo20bob3obo2b2ob2o2bob3obo21b2o
49b2o3bobob4obob6o24b2obo3bob4obo2b5o$77bo4b2o5bobob2o2bo4bobo18bo3b3o
5bob3o3bo4bobo44bo19b2obo2bo3b2ob2o3bo2bob2o20bobo41bobo4bo3b3obo5b3o
3bo18bobo4bo2b2obobo5b2o4bo$75bo3b2o3bob2o2b2o2b2o5bob4o14bo3b2o3bob2o
2b6o5bob4o66b2o13b2o24bo41b4obo5b6o2b2obo3b2o3bo14b4obo5b2o2b2o2b2obo
3b2o3bo$75b5ob4obo14bo5bo13b5ob4obo7b2o5bo5bo36b2o109bo5bo5b2o7bob4ob
5o13bo5bo14bob4ob5o$86bo8bo2b2obob2ob2o18bo5bo11b2obob2ob2o35bobo72b2o
35b2ob2obob2o11bo5bo18b2ob2obob2o2bo8bo$77b3o3b3o3bobo6bobobobobo16b2o
4b3o4bobobo3bobobobobo38bo72bobo35bobobobobo3bobobo4b3o4b2o16bobobobob
o6bobo3b3o3b3o$76bo6bo4bo2bobobo4bobobobo15bo2bo3bo7bo3bo4bobobobo111b
o37bobobobo4bo3bo7bo3bo2bo15bobobobo4bobobo2bo4bo6bo$77b2o2bobo7bo2b2o
3bobob2ob2o15bo4bo5b2obo7bobo4b2o32b2o113b2o4bobo7bob2o5bo4bo15b2ob2ob
obo3b2o2bo7bobo2b2o$65b2ob2o18b2ob2ob3o2bo3bobo5b2ob2o8bobo7b2ob4obo3b
ob2obo33bobo80b2o33bob2obo3bob4ob2o7bobo8b2ob2o5bobo3bo2b3ob2ob2o18b2o
b2o$66bobo6bo3bobobo4bo2bo13bo6bobo6bo4b2ob2o2b2o2b2o2bo4bob2obo35bo
80bobo32bob2obo4bo2b2o2b2o2b2ob2o4bo6bobo6bo13bo2bo4bobobo3bo6bobo$65b
o2bo2bo2bobo3bob3o3bobo8bobob2o6bo2bob2ob2obo3b5o2b2o9b3o3bo117bo35bo
3b3o9b2o2b5o3bob2ob2obo2bo6b2obobo8bobo3b3obo3bobo2bo2bo2bo$65b3ob2obo
b3o11bo9b2o11b3o2bobo3bo6bo5bo8b3o35b2o124b3o8bo5bo6bo3bobo2b3o11b2o9b
o11b3obob2ob3o$68bobobob2o15bo6bo44b2o36bobo88b2o36b2o5bo38bo22b2obobo
bo$67bob2o3bobo13bobo5bo2bo11b2o4b2obo20b3o37bo88bobo34b3o4b3o13bob2o
4b2o11bo2bo5b2o14bobo3b2obo$66bo3b2o4bo7bo4bo3bo4bo13bob4o4b2o6b2o7b3o
b2o127bo37b2o3b2ob2o3b3o5b2o4b4obo13bo5b3o13bo4b2o3bo$66b2o7b2o6b3o4bo
bo5b2o12b2o9bo9bo10b3o8b2o7b2o12b2o109b2o7b2o8b3o5b3o12bo9b2o12b2o5b2o
14b2o7b2o$75b2o5bobobo4bo7bobob2o15bo2bo3bo5bo2bo7b3o3bo4bo2b2ob2o2bo
11bobo96b2o11bo2b2ob2o2bo4bo3b3o6bo3bo5bo3bo2bo15b2obobo13b3o6b2o$66b
2o7b2o4b3ob3o17bo6b2o9bo2b2o4b2o2bo9bob2obo4b2obobob2o14bo96bobo11b2ob
obob2o4bob2obo12bo5bo3bo9b2o6bo19bobo6b2o7b2o$66bo3b2o4bo5bobobo12bo3b
obo6bob4o4b2o3bo18bob2obo5bo5bo112bo14bo5bo5bob2obo12bo5bo3b2o4b4obo6b
obo3bo13b3o6bo4b2o3bo$67bob2o3bobo6b3o13bobob2ob2o5b2o4b2obo7bo14bobo
4b2o3bo5bo10b2o115bo5bo3b2o4bobo22bob2o4b2o5b2ob2obobo7bobo12bobo3b2ob
o$68bobobob2o8bo5bobo7bobobobo22bo16bobobobo5b5o10bobo104b2o10b5o5bobo
bobo7bo6b3o22bobobobo8b2o14b2obobobo$27bo2bo34b3ob2obob3o14b2o5bobobob
obo4b3o2bobo3bo6bo3bo5bo4bobobobobo6b3o13bo104bobo10b3o6bobobobobo5bob
o13bo3bobo2b3o4bobobobobo7bo13b3obob2ob3o34bo2bo$25b6o34bo2bo2bo2bobo
9b2o3bo6b2obob2ob2o3bo2bob2ob2obo10bo3bobo4b2obob2ob2o5bobo118bo12bobo
5b2ob2obob2o5b2o3b2o9bob2ob2obo2bo3b2ob2obob2o10b2o9bobo2bo2bo2bo34b6o
$21b2obo8bo32bobo6bo10bo14bo5bo4bobo6bo10bo5b2o7bo5bo5b3o8b2o121b3o5bo
5bo14bo10bo6bobo4bo5bo14bo10bo6bobo32bo8bob2o$17b2obobobob8o2bo28b2ob
2o17b3o11bob4o4b2ob2o17b3o11bob4o6b3o7bobo7b2o93b2o8b2o7b3o6b4obo11b3o
17b2ob2o4b4obo11b3o17b2ob2o28bo2b8obobobob2o$15b3ob2o3bobo7b3o52bo12bo
bo30bo12bobo9bo10bo7bobo91bobo8bobo7bo9bobo12bo30bobo4bobo5bo52b3o7bob
o3b2ob3o$14bo6bo2bo3b2ob3o62bobo83bo89bo11bo25bo46b2o62b3ob2o3bo2bo6bo
$15b4o3bob4o5bob2o60b2o46bo20b2o12b2obob2o81b2obob2o35bobo45bo59b2obo
5b4obo3b4o$16bo5bo5bo5bobo4bobo20b2o2bo11bo2b2o12bo45bobo19bobo8b4o3b
2obo81bob2o3b4o9b2o20b2o58b2o2bo11bo2b2o20bobo4bobo5bo5bo5bo$14bo3bo4b
ob2o2bo4b2o4bob4o17bob4o11b4obo18b2o10b2o10b2o10b2o2b2o6b2o13bo6bo2bo
3b2o89b2o3bo2bo7bobo12b2o10b2o10b2o10b2o10b2o16bob4o11b4obo17b4obo4b2o
4bo2b2obo4bo3bo$14b4o2b4obo4b2o2bo5bo5bo16bo5b2o7b2o5bo16b2ob2o7b2ob2o
7b2ob2o7b2ob2o7b2ob2o18bo2bo2b3ob3o83b3ob3o2bo2bo6bo13b2ob2o7b2ob2o7b
2ob2o7b2ob2o7b2ob2o14bo5b2o7b2o5bo16bo5bo5bo2b2o4bob4o2b4o$19b2o4bo6b
3o2b2obob2ob2o15b2ob3o3bo5bo3b3ob2o15b4o8b4o8b4o8b4o8b4o8b2o9b2o5b2o3b
o83bo3b2o5b2o21b4o8b4o8b4o8b4o8b4o13b2ob3o3bo5bo3b3ob2o15b2ob2obob2o2b
3o6bo4b2o$16b3o3b3o5bo6bobobobobo17bobo3b2o7b2o3bobo6b3o8b2o10b2o10b2o
10b2o10b2o8bobo9b3o5b4o85b4o5b3o10b2o10b2o10b2o10b2o10b2o10b2o15bobo3b
2o7b2o3bobo17bobobobobo6bo5b3o3b3o$15bo5b2o5bob2o7bobo3bo16bo3b2ob2o7b
2ob2o3bo7bo68bo9b3o4bo4b3o79b3o4bo4b3o10bobo66b3o4bo3b2ob2o7b2ob2o3bo
16bo3bobo7b2obo5b2o5bo$16b3o8b2obob3o3bo4bob2o16b3o2bo11bo2b3o7bo79b3o
4b2o2bo2bo79bo2bo2b2o4b3o10bo68bo7b3o2bo11bo2b3o16b2obo4bo3b3obob2o8b
3o$9bob2o5b2ob2o9b3o3b2o2bobo21b2ob4o3b4ob2o90b3o9b2o81b2o9b3o80bo9b2o
b4o3b4ob2o21bobo2b2o3b3o9b2ob2o5b2obo$9b2obo10bo5b2o2b2o4bobo2bo20bo2b
o2b2obob2o2bo2bo14b3o23b2obo45b2o105b2o45bob2o40bo2bo2b2obob2o2bo2bo
20bo2bobo4b2o2b2o5bo10bob2o$7b2o10bo6bobo8bo4b2o21b2o4b7o4b2o14bo25bob
2o45bo107bo45b2obo22b3o15b2o4b7o4b2o21b2o4bo8bobo6bo10b2o$6bo3b2o8bob
2o3bo11bo18b2ob2o10b3o10b3o10bo28b2o41bobobo103bobobo41b2o28bo23b3o10b
2ob2o18bo11bo3b2obo8b2o3bo$6bob2obo3b2o22bo19bobo7bo18bo4bobo12bo16b2o
3bo23b2o15b2obobo101bobob2o40bo3b2o16bo7bo4bobo5b3o15bo7bobo19bo3bobo
16b2o3bob2obo$7bo2bo3bobo14bo3bo2bo20bo3b2o2bo2bo16bo3b4obo11b3o9b2o3b
ob2obo22bobo18bobo101bobo19b2o22bob2obo3b2o9b3o11bob4o3bo16bo2bo2b2o3b
o20bo3b3o15bobo3bo2bo$10b2o2bo14b2o8bo17b2obo2b2obo2bo20bo5bo14bo8bobo
5b2o25bo9b3o6b2o103b2o19bobo22b2o5bobo8bo14bo5bo3bo16bo2bob2o2bob2o17b
o4bob2o16bo2b2o$10b5obo14bo7bo18bobob2o5bo5bo14b2ob2obob2o4b3o3bo11bo
4bo37bo2bo131bo26bo4bo10b2o10b2obob2ob2o14bo5bo5b2obobo18bo3b4o15bob5o
$10bo3b3o5bobo12bo4b2o14bo2b3o2bo2b2o3bobo14bobobobobo4bo5b2obo6bo3bo
2bo22b2o13bo121b3o37bo2bo3bo12b3o5bobobobobo20b2o2bo2b3o2bo14b2o4bo3bo
9bo6b3o3bo$9bo6b2o3bo2bo14bobo2bo10b2ob2o2b2o3b4o9b3o8bo5bo7bo7b2o7bob
ob2o21bobo13bo120bo2bo14b2o21b2obobo16bo7bo5bo14b3o3b4o3b2o2b2ob2o10bo
2bobo11bo3bobo3b2o6bo$9b2o4b3o4bobo3bo9b2o2bobo11bobob2obo2bo7b3o5bo7b
2ob2obobo23bo4bo23bo14bobo120bo14bobo20bo4bo7b3o5bo7bobob2ob2o8b3o12bo
2bob2obobo11bobo2b2o8b2o4bo5b3o4b2o$9bo6b2o11b2o7bo4bob2o9bobobobo5b2o
2bo8bo3b2o5bobob3o11bo5bo4bo4b3o160bo14bo21b3o4bo2bo2bo3bo12b3obobo5b
2o3bo8bo2b2o5bobobobo9b2obo4bo9b2o9b2o6bo$10bo3b3o11b2o9bobo3bo9b2obo
2bo6b4o13bo6bo2b3o8bo3bo5bobo3bo4bo158bobo38bo4bo6bo3bo13b3o2bo6bo4bo
8b4o6bo2bob2o9bo3bobo22b3o3bo$10b5obo20bobobobobo10bob2obobo6b2o11bobo
7b2obobo6b6o5bo5bobob2o199b2obobo6bo3bo12bobob2o7bobo11b2o6bobob2obo
10bobobobobo20bob5o$10b2o2bo10b2o10b2obob2ob2o9bo4bob3o12bo4b2o13bo5bo
bobo11bo3bo2bo199bo2bo3bo5b3o4b3o6bo13b2o17b3obo4bo9b2ob2obob2o10b2o
10bo2b2o$7bo2bo3bobo8bo14bo5bo10b5o4bo10bobo17b2o4b3ob3o2b3o7bo4bo199b
o4bo14bobo6b2o18bo11bo4b5o10bo5bo6bo7bo8bobo3bo2bo$6bob2obo3b2o9b3o5bo
5bob4o17b2obo3b2o4bo3bo16b2o5bo2bo12bobo5b2o12b2o181b2o5bobo12b3o6b2o
17b3o5b2o3bob2o17b4obo4b2o5b3o9b2o3bob2obo$6bo3b2o16bo6b2o4bobo13b2o2b
2obob2o2b3o4bobo17b2o6bo7b2o5b2o3bob2obo10bobo4bobobobo145bobobobo5b2o
10bob2obo3b2o21b2o17b3o4b3o2b2obob2o2b2o13bobo6b2o4bo16b2o3bo$7b2o25b
2o21bobo2bobo3bo2bo6bo19bo10bo15b2o3bo12bo3bob2ob2obo143bob2ob2obo4bob
o9bo3b2o15bo10bo26bo2bo3bobo2bobo48b2o$9b2obo4b2o11b2o29b2obo5b2o21b2o
bobo8b3o3b2o13b2o17bo7bo143bo7bo4bo12b2o13b2o3b3o8bobob2o21b2o5bob2o
29b2o11b2o4bob2o$9bob2o3bo2bo9bo2bo26b3obobo3b3o20bo2b3o4bobo2bo6bob3o
5bob2o10b2o5b2ob7ob2o139b2ob7ob2o17b2obo5b3obo6bo2bobo4b3o2bo20b3o3bob
ob3o26bo2bo9bo2bo3b2obo$16bob2o4bo4b2obo25bo2bob2o2bo24bobob3o2bo4bobo
5bo2b2o5b2obo9bobo4bobobo2bo2bobobo137bobobo2bo2bobobo5b2o9bob2o5b2o2b
o5bobo4bo2b3obobo24bo2b2obo2bo18bo6bob2o4bo4b2obo$14b2o2bob9obo2b2o5bo
17b2obo2bobo2bo20b2ob2obobo3bo3bob2o6b5o18bo4bo2bo7bo2bo137bo2bo7bo2bo
5bobo15b5o6b2obo3bo3bobob2ob2o20bo2bobo2bob2o16b2o5b2o2bob9obo2b2o$15b
obo4bobobo4bobo7b2o16bob2obobobo8b5o9bo5bo5b2obob2o4b2o5bo20bobobo9bob
obo133bobobo9bobobo3bo16bo5b2o4b2obob2o5bo5bo9b5o8bobobob2obo18b2o5bob
o4bobobo4bobo$14bo2b2o11b2o2bo5b2o17bobo2bo2bo5b2ob2o3b2ob2o5bobobobob
o3b2ob2o4b3ob5o20bobob2obo5bob2obobo131bobob2obo5bob2obobo20b5ob3o4b2o
b2o3bobobobobo5b2ob2o3b2ob2o5bo2bo2bobo24bo2b2o11b2o2bo$14b2o5b2o3b2o
5b2o25bo2b2o7bo13bo3b2ob2obob2o2b3obo4bo4b2o23bobo3bo2b3o2bo3bobo131bo
bo3bo2b3o2bo3bobo23b2o4bo4bob3o2b2obob2ob2o3bo13bo7b2o2bo25b2o5b2o3b2o
5b2o$73bo2bo2bo2bo2bo4bo5bo7b3o4bob4ob5o19bobobo4bo4bobobo133bobobo4bo
4bobobo19b5ob4obo4b3o7bo5bo4bo2bo2bo2bo2bo$5bo2b2o9b2ob2ob2ob2o43bo2bo
5bo2bo5b4obo5b2o2b2o2b2obo8bo21bo13bo137bo13bo21bo8bob2o2b2o2b2o5bob4o
5bo2bo5bo2bo27bo15b2ob2ob2ob2o9b2o2bo$4bobo2bo2bo5bo5bo5bo15bo5b2o5b2o
13bo9bo8bobo4bo2bo4bo5bo3bobo9b2o5b2o5bob2ob2ob2ob2obo137bob2ob2ob2ob
2obo5b2o16bobo3bo5bo4bo2bo4bobo8bo9bo13b2o5b2o4b2o15bo5bo5bo5bo2bo2bob
o$4bob2obobobo4b2obo5bob2o16b2o3b2o5bo13bo3bo3bo3bo14b2obo3bob4ob2o3b
3o7bobo4bobo6b2o4bo4b2o139b2o4bo4b2o6bobo5b2o7b3o3b2ob4obo3bob2o14bo3b
o3bo3bo13bo5b2o5b2o14b2obo5bob2o4bobobob2obo$3b2obo2bobobo32b2o9bobo
13b2o2bo3bo2b2o17b2o3bo3bo2b3o4bo8bo3bo12bo5bo10b3o132bo5bo12bo4bobo5b
o4b3o2bo3bo3b2o17b2o2bo3bo2b2o13bobo43bobobo2bob2o$3bo3bobobob3o6bo2bo
31b2o12bo5bo3bo5bo12b3o7bobo3b2ob3o12bob2o27bo2bo148b2obo3bo8b3ob2o3bo
bo7b3o12bo5bo3bo5bo12b2o33bo7b3obobobo3bo$4b2o4b2ob3o6bobo28b2o16b3o2b
2o3b2o2b3o12bo2b8obobobob2o6b2o6bobobo10bo2bo12bo121b3o14bo11bobobo14b
2obobobob8o2bo12b3o2b2o3b2o2b3o16b2o37b3ob2o4b2o$3b3o3b3obobo37bobo18b
obobobobobo18bo8bob2o9bobo5b2o2b4o2b3o3bobo7bo5bo120bo2bo19b3o2b4o2b2o
6b2o9b2obo8bo18bobobobobobo20bo4bo23b3o6bobob3o3b3o$2bo2b2o2bo2bo9b3o
22bo6bo16b2obo2b2ob2o2bob2o18b6o15bo4bo2b2o3bo2b3o13b2o5bobo120bo6bo6b
3o3b3o2bo3b2o2bo5bobo12b6o18b2obo2b2ob2o2bob2o15b2o3bobo35bo2bo2b2o2bo
$2b2o2b2obob2ob3o30bobo8bo12bob2o9b2obo18bo2bo21bobobo4bo2b2o4b3o6bobo
128bo5b2o13b2o2bo4bobobo4bo16bo2bo18bob2o9b2obo12bo8b2o21bo5bobob3ob2o
bob2o2b2o$8b2obo4bo30b2o82bobobo3bo2bo143bobo6bobo14bo2bo3bobobo71b3o
29b2o5bobobo4bob2o$2b5o4bo44bob3o69b2obo5bob3obo163bob3obo5bob2o69bob
3o35bo8bo4b5o$bo4bob3o12bo4b2o28b2obo71bobo2bo6bo163bo6bo2bobo71bo3bo
27bobo16b3obo4bo$bob2obobo12bobo4bobo27bob2o71bobobo4b2o2bo6bo6b2o131b
2o13bo2b2o4bobobo70bo3bo15bo11bob2o2b3o13bobob2obo$2obo2bo5b2o2b2o4b2o
6bo10bo17b3obo54b2o10b2obo2bo6bo3bo5b2o5bo133bo7bo4bo3bo6bo2bob2o66b3o
bo14bobo11bo7bobo2b2o2b2o5bo2bob2o$bobobobo4b3obo13b2o9bobo73bobo11bob
2obobo7bo5bobo3bobo133bobo4b2o5bo7bobob2obo12b2o54b3o16b2o10b2o7b3o3bo
b3o4bobobobo$bobo2bobo2bo3b2o24b2o18bo57bo11bo4bob3o17b2o5b3o127b2o4bo
bo10b3obo4bo12bobo54bo38bob2o2b2o3bo2bobo2bobo$2obo4b7o81b4o32b5o4bo
23bo2bo144bo4b5o13bo14bo2b2o70bo4b3o6b7o4bob2o$3bo5bo19bo65bo7b2o9b2o
22b2obo3bobo17bo121b3o8bo8bobo3bob2o33bo3b2o2b2o66bobo3bobobo8bo5bo$3b
obo3b4o2bo4bo6bobo65bo3b2o2b2o8bobo7b2o7b2o2b2obob2obo2bo5bo11bo120bo
2bo8bo8bo2bob2obob2o2b2o7b2o8b2o8bo7b2o58bo7b2o5b3o3bo2b4o3bobo$2b2ob
4ob3o7bo7b2o5bo60bo2b2o14bo7bobo6bo2bo3bo2bobo7bobo11bobo120bo11bo8bob
o2bo3bo2bo6bobo8bobo8b4o61bobo15bo7b3ob4ob2o$4bo3bobo2bobo3bobo12bo2bo
88bo6b2o4b2o6bo3bo3bo18b2o11b2o77b2o11b2o8bo10b3o4bo6b2o4b2o6bo11bo76b
2o20bobo2bobo3bo$4bobo7bo20b2o87b2obob2o3bo5bo3bobo5bobo18bo2bo9bo2bo
75bo2bo9bo2bo4bobo11b3o5bobo3bo5bo3b2obob2o109bo7bobo$3b2ob2o26b3o83b
4o3b2obo2bo2bobo2bob2o8bo19bobo2b2obob2o2bobo75bobo2b2obob2o2bobo28b2o
bo2bobo2bo2bob2o3b4o85bo26b2ob2o$35bo12b2o10b2o10b2o22b2o20bo2bo3b2o6b
2obo2bobobo7b3o17b2o2bob3o3b3obo2b2o71b2o2bob3o3b3obo2b2o17b3o7bobobo
2bob2o6b2o3bo2bo22b2o22b2o10b2o10b2o11bobo$9b2o3bob7obo3b2o3bob2ob2o6b
2ob2o7b2ob2o7b2ob2o19b2ob2o18bo2bo2b3ob3o4bob2obobobo5b7o16bobobo2bobo
bo2bobobo73bobobo2bobobo2bobobo16b7o5bobobob2obo4b3ob3o2bo2bo20b2ob2o
19b2ob2o7b2ob2o7b2ob2o9b2o3b2o3bob7obo3b2o$9bo2bob2o2b3o2b2obo2bo4b2o
3b2o5b4o8b4o8b4o20b4o8b2o9b2o5b2o3bo4bobo2bo2bo3bo2b2obob2o2bo12bo2b2o
2b3ob3o2b2o2bo71bo2b2o2b3ob3o2b2o2bo12bo2b2obob2o2bo3bo2bo2bobo4bo3b2o
5b2o21b4o20b4o8b4o8b4o5b2o7bo2bob2o2b3o2b2obo2bo$10b4ob2o5b2ob4o9bo8b
2o10b2o10b2o22b2o8bobo9b3o5b4o6bo2b2o5bob4o3b4obo11b2o17b2o71b2o17b2o
11bob4o3b4obo5b2o2bo6b4o5b3o10b2o10b2o22b2o10b2o10b2o5b2o9b4ob2o5b2ob
4o$15bo7bo83bo9b3o4bo4b3o13b2o11b2o5b3o9bo2bobo2bo83bo2bobo2bo17b2o11b
2o13b3o4bo4b3o10bobo66bo13bo7bo$10b5obo2bo2bob5o88b3o4b2o2bo2bo14b3o7b
3o6bo2bo7bo3b3o3bo9b2o2bo53bo2b2o9bo3b3o3bo17b3o7b3o14bo2bo2b2o4b3o10b
o77b5obo2bo2bob5o$9bo6b7o6bo32bo4b3o6b2o39b3o9b2o15b2o9b2o6bo9bo2b7o2b
o5bo2bo2bobo51bobo2bo2bo5bo2b7o2bo7b3o6b2o9b2o15b2o9b3o39b2o13bo32bo6b
7o6bo$10b3obo9bob3o3b2o26b3o6bo5bo2bo38b2o27bo11bo6bo9b2o9b2o4bobobob
2obo51bob2obobobo4b2o9b2o6bo2bo6bo11bo27b2o38bo2bo6b3o3b3o31b3obo9bob
3o$12b2obob2ob2obob2o6b2o12b2o10bo8bo7b2o39bo27b3ob3ob3ob3o6bobo23bobo
bo2bob2o49b2obo2bobobo26bo5b3ob3ob3ob3o27bo39b2o7bo8bo10b2o14b2o4b2obo
b2ob2obob2o$14b2obo3bob2o7bo5b2ob5o3bo9b2o12b3o2b3o34bobobo24bo2bo2b2o
b2o2bo2bo21bo7bo3bob2obo2bo49bo2bob2obo3bo24bo4bo2bo2b2ob2o2bo2bo24bob
obo34b3o2b3o5bo6b2o9bo3b5ob2o4b2o7b2obo3bob2o$14bo2bo3bo2bo12bo4bo5b2o
22bo2bobo3bo33b2obobo23b3ob2obobob2ob3o21bo6bo7bob2o53b2obo7bo5bobo12b
obo5b3ob2obobob2ob3o23bobob2o33bo3bobo2bo22b2o5bo4bo5bo6bo2bo3bo2bo$9b
2o4b2o5b2o14bo3bo3bobo23b3o2b5o36bobo26bobobobobobo23bobo6bobo3bo5bo
49bo5bo3bobo7bo24bobobobobobo26bobo36b5o2b3o23bobo3bo3bo14b2o5b2o4b2o$
9bobo26bo3bob2o4bo10b3o9b2obo2bo2b2o25b3o6b2o24b2obo2b2ob2o2bob2o21bo
6bo6bobo4bo47bo4bobo6bo6bo21b2obo2b2ob2o2bob2o24b2o34b2o2bo2bob2o18bo
3bo4b2obo3bo26bobo$11bo14b2o8bobo9bo7bo6bo8bo7b2o2bo24bo2bo31bob2o9b2o
bo21bo6b2ob3obob3ob2o47b2ob3obob3ob2o9b2o17bob2o9b2obo59bo2b2o7bo9b3o
4b4o3bo9bobo24bo$7b4ob2o2b2o9b2o5b3obo9bo8b2o3bo9bo8bobo10b2o13bo79bo
4bob2o59b2obo4bo3b2o4b2o66b3o25bobo8bo9bo5b2obo4bo9bob3o7b2o7b2o2b2ob
4o$7bo2bobobo2bo8bo6bo4bo3bo6bo2bo3bo9b2o4b5o4bob2o8bobo13bo34bob2o9b
2obo33bo4b5o47b5o4bo7bo6b3o16bob2o9b2obo31bo2bo14b2o8b2obo4b5o10bo5b3o
3bo6bo3bo4bo5b2o8bo2bobo4bo$5b2o2b2obob2o18b3obo9bo16bo3bo2b6o2b2o13bo
14bobo31b2obo2b2ob2o2bob2o4b3o8b2o5bo11b3obo4bo45bo4bob3o12bo3bobo15b
2obo2b2ob2o2bob2o34bo14bobo10b2o2b6o4bo12bobo3bo9bob3o8bo9b2obo2bo2b2o
$4bo2b2o2b2obo21bobo9bo16bo6b5o4bob2o62bobobobobobo7bo2bo6bobo3b2o14bo
bob2obo45bob2obobo12b3o3b2obo17bobobobobobo37bo14bo9b2obo4b5o2b2ob2o
16bo9bobo21bobo3b2o2bo$3bob2o2b2obobo23bo3bob2o4bo14bo3bo2bo8bobo60b3o
b2obobob2ob3o4bo9bo6b2o4b4obo5bo2bob2o43b2obo2bo5bob4o2bo9bo7b3o4b3ob
2obobob2ob3o31bobo26bobo8bo4bo16bo4b2obo3bo23bob2obo2b2obo$3bo3b2o4bo
6b2o16bo3bo3bobo17b2o4bo7b2o2bo59bo2bo2b2ob2o2bo2bo4bo8b2o15bo2bo3bobo
bobo45bobobobo3bo2bo7b2o6b2o5bo2bo4bo2bo2b2ob2o2bo2bo59bo2b2o7bo23bobo
3bo3bo24bo4bo4bo$4b3obob3o8b2o14bo4bo5b2o11bo11b2obo2bo2b2o61b3ob3ob3o
b3o6bobo20bo7bobo2bobo45bobo2bobo7bo2bo20bo5b3ob3ob3ob3o61b2o2bo2bob2o
11bo11b2o5bo4bo16b2o6b3obob3o$6bo3bo9bo17b2ob5o3bo6b2o3b3o8b3o2b5o64bo
11bo31b5o2b2o2b2ob2o43b2ob2o2b2o2b5o7bo3bo12bo6bo11bo64b5o2b3o8b3o3b2o
6bo3b5ob2o16b2o9b5o$47b2o3b3obo6bo2bobo3bo2bobo3bo64b2o9b2o18bo13bo10b
o49bo10bo8bo4b2o7bobo7b2o9b2o64bo3bobo2bo3bobo2bo6bob3o3b2o27bo$8bo43b
2o2bo5bobo4bo3b3o2b3o11bobobobo47b3o7b3o16b2o16bo4bobobo49bobobo4bo14b
2o18b3o7b3o47bobobobo11b3o2b3o3bo4bobo5bo2b2o$8bo41b5o6b2obo3bo7b2o13b
ob2ob2obo45b2o11b2o16b2o6b3o4b2o4b4ob2o47b2ob4o4b2o4b3o24b2o11b2o45bob
2ob2obo13b2o7bo3bob2o6b5o$14b2o33bo5b2o4b2obob2o7bo2bo12bo7bo45bob4o3b
4obo25bo5b3obobo3bo51bo3bobob3o31bob4o3b4obo45bo7bo12bo2bo7b2obob2o4b
2o5bo38bo$9bo5b2o33b5ob3o4b2ob2o8b2o4b2o5b2ob7ob2o44bo2b2obob2o2bo5b3o
24bo7bobo51bobo7bo32bo2b2obob2o2bo44b2ob7ob2o11b2o8b2ob2o4b3ob5o35b2o$
8bobo3bo38b2o4bo4bob3o12bobo4bobobo2bo2bobobo46b7o10bo31b2ob2o49b2ob2o
25bo6b3o7b7o46bobobo2bo2bobobo5b2o12b3obo4bo4b2o37b2o4b2o$9b2o37b5ob4o
bo4b3o16bo4bo2bo7bo2bo31b2ob2o12b3o11bo5bo12b5o77b5o12b2o4bo11b3o12b2o
b2o31bo2bo7bo2bo5bobo13b3o4bob4ob5o33b2o3b2o$5b2o41bo8bob2o2b2o2b2o3b
2o12bobobo9bobobo30bobo7bo23b2o5b2o2b2ob2o3b2ob2o2b2o61b2o2b2ob2o3b2ob
2o2b2o3b2o6bo18bo7bobo30bobobo9bobobo3bo8b2o3b2o2b2o2b2obo8bo33b3o5b2o
$4bobo33b2o8bobo3bo5bo4bo2bo2bo11bobob2obo5bob2obobo29bo3b2o2bo2bo4bo
14b2ob3o4bo2bo13bo2bo61bo2bo13bo2bo29bo2bo2b2o3bo29bobob2obo5bob2obobo
11bo2bo2bo4bo5bo3bobo8b2o26b3o4bobo$4bo5b2o4b3o4bo15bo2bo6b3o3b2ob4obo
3bob2obo12bobo3bo2b3o2bo3bobo27b2obo2b2obo2bo5bo13b2o10b4o2bo2bo2bo2b
4o63b4o2bo2bo2bo2b4o8b2o21bo2bob2o2bob2o27bobo3bo2b3o2bo3bobo12bob2obo
3bob4ob2o3b3o6bo2bo15bo10bobo5bo$3b2o5b2o4bo6b3o14b2o6bo4b3o2bo3bo3b2o
3bo14bobobo4bo4bobobo29bobob2o5bo5bo6b3o6bo119b2o14bo5bo5b2obobo29bobo
bo4bo4bobobo14bo3b2o3bo3bo2b3o4bo6b2o14b3o3b3o5b2o5b2o$17bo8bo10b3o2b
3o4b3ob2o3bobo7b3o17bo13bo31bo2b3o2bo2b2o13bo16b5obo2bo2bob5o63b5obo2b
o2bob5o8bo8b3o4b3o3b2o2bo2b3o2bo31bo13bo17b3o7bobo3b2ob3o4b3o2b3o10bo
8bo$25b2o9bo4bo3bo5b2obobobob7obo12b2o5bob2ob2ob2ob2obo28b2ob2o2b2o3b
4o12bo16bo4bob7obo4bo61bo4bob7obo4bo16bo5b2ob2o2b4o3b2o2b2ob2o28bob2ob
2ob2ob2obo5b2o12bob7obobobob2o5bo3bo4bo9b2o6bo$2b2ob2o29b2obob2ob2o9b
2obo8bo12bobo6b2o4bo4b2o30bobob2obo2bo10b2o22b3ob2o7b2ob3o63b3ob2o7b2o
b3o18bo5b3o7bo2bob2obobo30b2o4bo4b2o6bobo12bo8bob2o9b2ob2obob2o29b2ob
2o$3bobo6bo24bo2bo2bo2b2o11b3o2b3o12bo12bo5bo10b3o20bobobobo5b2o2bo12b
2o9b2o5bo2bob5obo2bo67bo2bob5obo2bo16b2o9bo2bo2b2o5bobobobo33bo5bo12bo
12b3o2b3o11b2o2bo2bo2bo24bo6bobo$2bo2bo2bo2bobo8b3o10bo5bo2b2o2bo12bo
2bo13bob2o27bo2bo18b2obo2bo6b4o13bo9b2o9bobo3bobo73bobo3bobo7b2o11bo
13b4o6bo2bob2o49b2obo13bo2bo12bo2b2o2bo5bo3bo17bobo2bo2bo2bo$2b3ob2obo
b3o8bo6bo7bo7bobo22b2o6bobobo10bo2bo12bo22bob2obobo6b2o4b3o3b2obo11bo
7bo3bo2bo2bo7b2obo49bob2o7bo2bo2bo3bo7b2o10bobo3b3o5b2o6bobob2obo20b3o
14bo11bobobo30bobo7bo3b4o4b3o9b3obob2ob3o$5bobobob2o10bo3b2o8bo2bo4bob
2o20bobo5b2o2b4o2b3o3bobo7bo5bo22bo4bob3o12bo5bo21b2obo3b2o8bob2o49b2o
bo8b2o3bob2o7bo13b2o17b3obo4bo19bo2bo19b3o2b4o2b2o6b2o20b2obo4bo2bo4bo
b2o5bo10b2obobobo$4bob2o3bobo4b2o9bo3bo2bo2b2o3b2o25bo4bo2b2o3bo2b3o
13b2o5bobo20b5o4bo8bo31bob4o14b2o45b2o14b4obo25bo5bo8bo4b5o23bo6bo6b3o
3b3o2bo3b2o2bo5bobo22b2o3b2o2bo3b3o5bo10bobo3b2obo$3bo3b2o4bo2bo3bo16b
o2bo4bob2o26bobobo4bo2b2o4b3o6bobo34b2obo3b2o3bo4bo11bobo11bo5bo11b2o
3bo43bo3b2o11bo5bo11bobo10bo5bo3b2o3bob2o29bo5b2o13b2o2bo4bobobo4bo21b
2obo4bo2bo3bobo12bo4bo4b2o3bo$3b2o7b2o6bo16bo7bobo27bobobo3bo2bo46b2o
2b2obob2o2b3o8b2o7b4obo6b2o3b3o9b2o3bob2obo43bob2obo3b2o9b3o11bob4o8bo
5bo2b3o2b2obob2o2b2o20bobo6bobo14bo2bo3bobobo27bobo7bo16b2ob2o2b2o7b2o
$12b2o2bo3bo14bo5bo2b2o2bo25b2obo5bob3obo43bobo2bobo3bo2bo17bo5bo5b2o
7bo8bobo3bo2bo45bo2bo3bobo8bo5b2o7bo5bo17bo2bo3bobo2bobo43bob3obo5bob
2o25bo2b2o2bo5bo16bo4b2o$3b2o7b2o4b2o17bo2bo2bo2b2o29bobo2bo6bo47b2obo
5b2o5b3o9b2ob2obob2o4bo5b2o10bo2b2o51b2o2bo10b2o5b2o3b2obob2ob2o9b3o5b
2o5bob2o47bo6bo2bobo29b2o2bo2bo2bo23b2o7b2o$3bo3b2o4bo10bo11b2obob2ob
2o31bobobo4b2o2bo6bo6b2o14b2o13b3obobo3b3o6bo11bobobobobo20bob5o51b5ob
o14bo5bobobobobo18b3o3bobob3o29b2o13bo2b2o4bobobo31b2ob2obob2o11bo10bo
4b2o3bo$4bob2o3bobo8b3o3b2o6bo4bo3bo28b2obo2bo6bo3bo5b2o5bo29bo2bob2o
2bo22bo3bobo22b3o3bo51bo3b3o5b2o15bobo3bo22bo2b2obo2bo12bo16bo7bo4bo3b
o6bo2bob2o28bo3bo4bo6b2o3b3o8bobo3b2obo$5bobobob2o4bobo2bo6bob3o3b3o2b
3o30bob2obobo7bo5bobo3bobo13bo3bo11b2obo2bobo2bo19b2obo4bo17bo2b2o6bo
49bo6b2o20bo4bob2o19bo2bobo2bob2o11bobo15bobo4b2o5bo7bobob2obo30b3o2b
3o3b3obo6bo2bobo4b2obobobo$2b3ob2obob3o2bo4bobo5bo2b2o6b2o33bo4bob3o
17b2o5b3o6bo4bo11bob2obobobo6b5o11bobo2b2o10b2o4bobob3o4b2o49b2o4b3ob
2o17b2o2bobo11b5o6bobobob2obo11bo3bo15b2o4bobo10b3obo4bo33b2o6b2o2bo5b
obo4bo2b3obob2ob3o$2bo2bo2bo2bobo3bo3bob2o6b5o3bo2bo33b5o4bo23bo2bo7bo
bobo8bobobo2bo2bo3b2ob2o3b2ob2o7bo2bobo10b2o4bo3b3o6bo49bo6b2ob3o3b2o
12bobo2bo7b2ob2o3b2ob2o3bo2bo2bobobo8bo3bo34bo4b5o33bo2bo3b5o6b2obo3bo
3bobo2bo2bo2bo$3bobo6bo5b2obob2o4b2o5bo3b2o16b2o22b2obo3bobo17bo11bobo
bo5b3ob2o2b2o5bo13bo7b2o4bo10bo4bobo2b3o3bo51bo3b3o2b2o5b2o9bo4b2o7bo
13bo5b2o2b2ob3o5bo3bo9b3o8bo8bobo3bob2o40b2o3bo5b2o4b2obob2o5bo6bobo$
2b2ob2o11b2ob2o4b3ob5o21bobo16b2o2b2obob2obo2bo5bo11bo12bo4bo2bo16bo2b
o2bo2bo2bo12bo3b2obo11bo3bob5o51b5obo8bo7bo5bo12bo2bo2bo2bo2bo16bo3bo
3bo9bo2bo8bo8bo2bob2obob2o2b2o17b2o21b5ob3o4b2ob2o11b2ob2o$17b3obo4bo
4b2o17b2o7bo16bo2bo3bo2bobo7bobo11bobo10bo3bo2b2o15bo2bo5bo2bo12bo6bo
17bo2b2o51b2o2bo18bobo3bo12bo2bo5bo2bo15bo5bobo13bo11bo8bobo2bo3bo2bo
17bobo4b2o17b2o4bo4bob3o$19b3o4bob4ob5o12b2o25b2o4b2o6bo3bo3bo48bo9bo
14bo3bobo15bobo3bo2bo45bo2bo3bobo16bo4bo14bo9bo16bo2bo3bo14bo10b3o4bo
6b2o4b2o18bo6b2o12b5ob4obo4b3o$17b2o2b2o2b2obo8bo40bo5bo3bobo5bobo25b
2o2bo18bo3bo3bo3bo12bo3bo18b2o3bob2obo43bob2obo3b2o22bo12bo3bo3bo3bo
19bo14bobo11b3o5bobo3bo5bo40bo8bob2o2b2o2b2o$15bo2bo4bo5bo3bobo20b2o
19bo2bobo2bob2o8bo29bobo17b2o2bo3bo2b2o12bo11bo3b2obo8b2o3bo43bo3b2o8b
ob2o3bo11bo12b2o2bo3bo2b2o17bobo38b2obo2bobo2bo41bobo3bo5bo4bo2bo$15b
2obo3bob4ob2o3b3o15b2o2bobo18b2obo2bobobo7b3o30b2o2b2o11bo5bo3bo5bo6b
2o4bo8bobo6bo10b2o45b2o10bo6bobo8bo4b2o6bo5bo3bo5bo11b2o2b2o30b3o7bobo
bo2bob2o18b2o20b3o3b2ob4obo3bob2o$18b2o3bo3bo2b3o4bo13bobo2bo21bob2obo
bobo5b7o32b2o11b3o2b2o3b2o2b3o5bo2bobo4b2o2b2o5bo10bob2o49b2obo10bo5b
2o2b2o4bobo2bo5b3o2b2o3b2o2b3o11b2o32b7o5bobobob2obo18bobo4b2o13bo4b3o
2bo3bo3b2o$15b3o7bobo3b2ob3o16bo24bobo2bo2bo3bo2b2obob2o2bo45bobobobob
obo8bobo2b2o3b3o9b2ob2o5b2obo49bob2o5b2ob2o9b3o3b2o2bobo8bobobobobobo
45bo2b2obob2o2bo3bo2bo2bobo20bo4bobo13b3ob2o3bobo7b3o$15bo2b8obobobob
2o44bo2b2o5bob4o3b4obo41b2obo2b2ob2o2bob2o3b2obo4bo3b3obob2o8b3o63b3o
8b2obob3o3bo4bob2o3b2obo2b2ob2o2bob2o16bo24bob4o3b4obo5b2o2bo26bo17b2o
bobobob8o2bo$18bo8bob2o58b2o11b2o5b3o15bo17bob2o9b2obo4bo3bobo7b2obo5b
2o5bo61bo5b2o5bob2o7bobo3bo4bob2o9b2obo17b2o22b2o11b2o58b2obo8bo$21b6o
35b2o26b3o7b3o6bo2bo12b2o39bobobobobo6bo5b3o3b3o63b3o3b3o5bo6bobobobob
o37b2o24b3o7b3o63b6o$21bo2bo21b2o14bobo25b2o9b2o6bo16b2o3b3o31b2ob2obo
b2o2b3o6bo4b2o69b2o4bo6b3o2b2obob2ob2o53b3o6b2o9b2o25b2o38bo2bo$45bobo
6b2o6bo21bo5b3obo3bob3o6bo21bo33bo5bo5bo2b2o4bob4o2b4o59b4o2b4obo4b2o
2bo5bo5bo30b3o19bo2bo6b3obo3bob3o5bo18bobo7b2o7b2o$47bo6b2o39bobo12bob
o19bo33b4obo4b2o4bo2b2obo4bo3bo59bo3bo4bob2o2bo4b2o4bob4o33bo22bo11bob
o9b3o19bo7b2o7bobo$11b2o2bo11bo2b2o50b3obo5bobo3bobo67bobo4bobo5bo5bo
5bo63bo5bo5bo5bobo4bobo34bo10bo12bo8bobo3bobo5b3obo35bo14b2o2bo11bo2b
2o$10bob4o11b4obo17b2o5b2o22bob2o6bo9bo19bo53b2obo5b4obo3b4o61b4o3bob
4o5bob2o53b2o7bobo8bo9bo5bo3bo22b2o5b2o17bob4o11b4obo$10bo5b2o7b2o5bo
16bo2bo3bo2bo8b2o11b2obo6b4o3b4o17b2o57b3ob2o3bo2bo6bo59bo6bo2bo3b2ob
3o55b2o19b4o3b4o6bo3bo20bo2bo3bo2bo16bo5b2o7b2o5bo$9b2ob2obo2bo5bo2bob
2ob2o6b2o8bobo3bobo9bobo8bob3o11bobo22b2o15b3o11b2o2bo11bo2b2o3b3o7bob
o3b2ob3o61b3ob2o3bobo7b3o3b2o2bo11bo2b2o53bobo11bob3o8b2o10bobo3bobo
16b2ob2obo2bo5bo2bob2ob2o$10bobo2b2obo5bob2o2bobo6bobo5bo2bob2ob2obo2b
o6bo22b3o5b3o35bo12bob4o11b4obo2bo2b8obobobob2o65b2obobobob8o2bo2bob4o
11b4obo9b3o36b3o5b3o8b3o8bobo7bo2bob2ob2obo2bo6b2o6bobo2b2obo5bob2o2bo
bo$9bo3bo3bo7bo3bo3bo7bo3b3ob2o7b2ob3o17bo8bobobo3bobobo5b3o27bo11bo5b
2o7b2o5bo5bo8bob2o73b2obo8bo5bo5b2o7b2o5bo11bo35bobobo3bobobo8bo11bo5b
3ob2o7b2ob3o4bobo4bo3bo3bo7bo3bo3bo$10b3o2b4o5b4o2b3o11bo4bob7obo4bo
12bo12bo3b5o3bo7bo38b2ob3o3bo5bo3b3ob2o7b6o81b6o7b2ob3o3bo5bo3b3ob2o9b
o22bo6b3o4bo3b5o3bo12bo12bo4bob7obo4bo3bo7b3o2b4o5b4o2b3o$13b2ob2o2b3o
2b2ob2o15b5obo2bo2bob5o12bobo12b3o5b3o7bo5bo34bobo3b2o7b2o3bobo8bo2bo
85bo2bo8bobo3b2o7b2o3bobo34b2o4bo7b3o5b3o12bobo12b5obo2bo2bob5o15b2ob
2o2b3o2b2ob2o$12bo2b2ob7ob2o2bo40b2o3b2o16b5o14b2o34bo3b2ob2o7b2ob2o3b
o107bo3b2ob2o7b2ob2o3bo32b2o6bo9b5o16b2o45bo2b2ob7ob2o2bo$12b2o15b2o3b
2o9b4o2bo2bo2bo2b4o8b2o6b2o11bo5bo10b2ob3o27b3o4b3o2bo11bo2b3o109b3o2b
o11bo2b3o50bo5bo11b2o8b2o6b4o2bo2bo2bo2b4o14b2o15b2o$5b2ob2o23bobo8bo
2bo13bo2bo6bo8bobo11b5o10b2o32bo9b2ob4o3b4ob2o115b2ob4o3b4ob2o6b3o31b
2o12b5o11bobo7b2o6bo2bo13bo2bo9b2o23b2ob2o$6bobo7bo18bo8b2o2b2ob2o3b2o
b2o2b2o10b2o5bo13bo5b3o6bo32bo7bo2bo2b2obob2o2bo2bo113bo2bo2b2obob2o2b
o2bo7bo32b2o13bo13bo5b2o4bo5b2o2b2ob2o3b2ob2o2b2o9bobo15bo7bobo$6bo3bo
bo2bobo34b5o18b2o5b2o20bo47b2o4b7o4b2o113b2o4b7o4b2o6bo32bo8b3o17b2o5b
2o18b5o17bo16bobo2bobo3bo$4b2ob4ob3o23b2ob2o60bo56b3o10b2ob2o99b2ob2o
10b3o56bo60b2ob2o23b3ob4ob2o$5bobo3b4o2bo21bobo7bo15b2o93bo5bo7bobo
101bobo7bo63bo52bo7bobo21bo2b4o3bobo$5bo5bo9b3o4b2o9bo3bobob3o16b2o3bo
b2o41b2o23b2obo4b3o7bobo3bo2bo2b2o3bo101bo3b2o2bo2bo3b3o14bob2o66b2obo
5b2o7b3o4b3obobo3bo16bo10bo5bo$2b2obo4b7o4bobo3bobo7b2ob4o4b2o15bo5b2o
bo40b2o24bob2o4bo8bo3bo3bo2bob2o2bob2o97b2obo2b2obo2bo4b3o6b3o5b2obo
22b2o42bob2o4b2o8bobo4b2o4b4ob2o8b2o3b3o4b7o4bob2o$3bobo2bobo2bo3b2o2b
3o5bo8bobobo4bo5bobobo11b2o25b3o6b2o2b2o6bo27b2o3bo8bobo4bo5b2obobo99b
obob2o5bo5bo9bo3b2o27b2o5b2o2b2o34b2o4bo7b3o6bo4bobobo9bobo7b2o3bo2bob
o2bobo$3bobobobo4b3obo13b2o4bo10bo4b3o11bo3b2o16bo7bo4bo2bo2bo2bo12bo
16b2o3bo12bo4b2o2bo2b3o2bo99bo2b3o2bo2b2o13bo3bo3b2o16bo6bo5bo2bo2bo2b
o5b3o4bo16b2o3bo18bo10bo4b2o3bo9bob3o4bobobobo$2b2obo2bo5b2o2b2o12bo2b
2ob2o2b2o2b5o4bo12bob2obo3b2o9b3o6bo4bob2o4b2obo11b3o9b2o3bob2obo17b4o
3b2o2b2ob2o93b2ob2o2b2o3b4o17bob2obo3b2o9b3o11bob2o4b2obo4bo6b3o9b2o3b
ob2obo17b5o2b2o2b2ob2o2bo12b2o2b2o5bo2bob2o$3bob2obobo19bobo3bobo2bobo
7bo7b2o8b2o5bobo8bo14bo3b4o3bo14bo8bobo3bo2bo22bo2bob2obobo95bobob2obo
2bo22bo2bo3bobo8bo14bo3b4o3bo5bo8bo8bobo5b2o17bo7bobo2bobo3bobo19bobob
2obo$3bo4bob3o11b3o3b2o4bobobobo3bo2bo10b2o3b2o4bo4bo10b2o10b2obob2o4b
2obob2o5b2o3b2o10bo2b2o5b2o4b3o5bo2b2o5bobobobo95bobobobo5b2o2bo12b2o
5b2o2bo10b2o10b2obob2o4b2obob2o10b2o10bo4bo4b2o5b2o8bo2bo3bobobobo4b2o
4bo12b3obo4bo$4b5o4bo9bo3bo7b2obo2bo5bob4o6bo5bo5bo2bo3bo20bobobobob2o
bobobobo4b2o5b3o6bob5o6bo4bo8b4o6bo2bob2o93b2obo2bo6b4o5b3o5bo6b5obo
12b2o6bobobobob2obobobobo20bo3bo2bo5bo4b2o6b4obo5bo2bob2o9bo11bo4b5o$
10b2obo4bo4bo3bo8bob2obobo19bobo5b2obobo13b3o8bo5b2o3bobo8bo6bo6b3o3bo
6bobo3bo7b2o6bobob2obo95bob2obobo6b2o7bo3bobo6bo3b3o13b2o7bobo3b2o5bo
24bobob2o5bobo4bo14bobob2obo9bobo5bo4bob2o$4b2o2b2obob2ob3o4bo3bo8bo4b
ob3o17b2o6bo4bo15bo7bobob2o4bo4bo14bo5b2o6bo6b2o17b3obo4bo95bo4bob3o
12bo4b2o6bo6b2o5bo5bo8bo4bo4b2obobo8b3o12bo4bo6b2o17b3obo4bo10bo6b3ob
2obob2o2b2o$4bo2b2o2bo2bo9b3o10b5o4bo23b3o4bo2bo4bo5bo8b3obob4obo2b2o
20b3o4b2o24bo4b5o97b5o4bo24b2o4b3o4b3o13b2o2bob4obob3o8bo6bo3bo2bo4b3o
23bo4b5o11bo10bo2bo2b2o2bo$5b3o3b3obobo25b2obo4bo5b3o11bo4bo6b2ob2o13b
3o2bo2bo2bobo11b3o3b3ob2o6bo12bo6b2o3bob2o109b2obo3b2o19bo6b2o3b2ob2o
13bobo2bo2bo2b3o10bo3b2o8bo4bo19bo4bob2o25bobob3o3b3o$6b2o4b2ob3o19b2o
b3obob3ob2o6bo12b2obobo8bo14bobob2o4b2o4bo5b3o12b3o3bo12b3o4b3o2b2obob
2o2b2o97b2o2b2obob2o2b3o19bo3b3o5b3o12bo4b2o4b2obobo4b2o9bo7bobob2o11b
3o5b2ob3obob3ob2o19b3ob2o4b2o$5bo3bobobob3o8bo10bo4bobo6bo19bo2bo3bo
13bo7bo13bo6bo3bo4bo6bob5o11bobobo4bo2bo3bobo2bobo97bobo2bobo3bo2bo5b
3o12b5obo6bo6bo8bo13bo2bo3bo14bo3bo2bo10bo3bo4bo6bobo4bo10bo8b3obobobo
3bo$5b2obo2bobobo22bo5bo3bobo20bo4bo15b2o6b2o12bo6bo3bo4bo8bo2b2o20b2o
5bob2o105b2obo5b2o5bobo12b2o2bo13b2ob2o6bo12b2o6bo16bo4bo10bo3bo5bobo
3bo5bo22bobobo2bob2o$6bob2obobobo4b2obo5bob2o7b2obo7bo17b2o5bobo13bo7b
2o13bo2bo2bo3bo4bo6bobo3bo2bo17b3o3bobob3o101b3obobo3b3o5b3o9bo2bo3bob
o13bo4bo2bo13b2o2bo3bo14bobo5b2o17bo7bob2o7b2obo5bob2o4bobobob2obo$6bo
bo2bo2bo5bo5bo5bo5bo2bob2obo3bo17bob2obo3b2o21b2o12bo7b2o13b2o3bob2obo
20bo2b2obo2bo99bo2bob2o2bo20bob2obo3b2o22bo12b2o4b2o15b2o3bob2obo8bobo
6bo3bob2obo2bo5bo5bo5bo5bo2bo2bobo$7bo2b2o9b2ob2ob2ob2o6b2obo2bobobo
19bo3b2o15bo10bo13bo11bo3b2obo8b2o3bo18bo2bobo2bob2o99b2obo2bobo2bo18b
o3b2o8bob2o3bo11bo13bo10bo15b2o3bo19bobobo2bob2o6b2ob2ob2ob2o9b2o2bo$
39bob2obobobo4b2o9b2o3b2o13b2o3b3o8bobob2o4b2o4bo8bobo6bo10b2o3b2o2b5o
2b2o4bobobob2obo101bob2obobobo4b2o2b5o2b2o3b2o10bo6bobo8bo4b2o4b2obobo
8b3o3b2o13b2o3b2o9b2o4bobobob2obo$16b2o5b2o3b2o5b2o2bobo2bo2bo5bo2b7o
2bo5b2obo5b3obo6bo2bobo4b3o2bo2bo2bobo4b2o2b2o5bo10bob2o5bobobo3bobobo
5bo2bo2bobo101bobo2bo2bo5bobobo3bobobo5b2obo10bo5b2o2b2o4bobo2bo2bo2b
3o4bobo2bo6bob3o5bob2o5bo2b7o2bo5bo2bo2bobo2b2o5b2o3b2o5b2o$16bo2b2o
11b2o2bo3bo2b2o9bo3b3o3bo6bob2o5b2o2bo5bobo4bo2b3obob4obo2b2o3b3o9b2ob
2o5b2obo6b3o5b3o9b2o2bo103bo2b2o9b3o5b3o6bob2o5b2ob2o9b3o3b2o2bob4obob
3o2bo4bobo5bo2b2o5b2obo6bo3b3o3bo9b2o2bo3bo2b2o11b2o2bo$17bobo4bobobo
4bobo19bo2bobo2bo14b5o6b2obo3bo3bobob2o4bo4bo3b3obob2o8b3o17bobo139bob
o17b3o8b2obob3o3bo4bo4b2obobo3bo3bob2o6b5o14bo2bobo2bo19bobo4bobobo4bo
bo$16b2o2bob9obo2b2o12b2o17b2o7bo5b2o4b2obob2o5bo5b2o3bobo7b2obo5b2o5b
o7b2o5bobobobo5b2o121b2o5bobobobo5b2o7bo5b2o5bob2o7bobo3b2o5bo5b2obob
2o4b2o5bo7b2o17b2o12b2o2bob9obo2b2o$18bob2o4bo4b2obo14bo2b2o2b3ob3o2b
2o2bo8b5ob3o4b2ob2o3bobobobob2obobobobo6bo5b3o3b3o8bo2b2o2b7o2b2o2bo
121bo2b2o2b7o2b2o2bo8b3o3b3o5bo6bobobobob2obobobobo3b2ob2o4b3ob5o8bo2b
2o2b3ob3o2b2o2bo14bob2o4bo4b2obo$18bo2bo9bo2bo15bobobo2bobobo2bobobo
12b2o4bo4bob3o2b2obob2o4b2obob2o2b3o6bo4b2o12bobobo4bo4bobobo123bobobo
4bo4bobobo12b2o4bo6b3o2b2obob2o4b2obob2o2b3obo4bo4b2o12bobobo2bobobo2b
obobo15bo2bo9bo2bo$19b2o11b2o15b2o2bob3o3b3obo2b2o6b5ob4obo4b3o7bo3b4o
3bo5bo2b2o4bob4o2b4o6b2o2bobo7bobo2b2o121b2o2bobo7bobo2b2o6b4o2b4obo4b
2o2bo5bo3b4o3bo7b3o4bob4ob5o6b2o2bob3o3b3obo2b2o15b2o11b2o$51bobo2b2ob
ob2o2bobo8bo8bob2o2b2o2b2o5bob2o4b2obo4b2o4bo2b2obo4bo3bo8bobo3b2ob2o
3bobo125bobo3b2ob2o3bobo8bo3bo4bob2o2bo4b2o4bob2o4b2obo5b2o2b2o2b2obo
8bo8bobo2b2obob2o2bobo$51bo2bo9bo2bo10bobo3bo5bo4bo2bo4bo2bo2bo2bo4bob
o5bo5bo5bo10bo2bo9bo2bo125bo2bo9bo2bo10bo5bo5bo5bobo4bo2bo2bo2bo4bo2bo
4bo5bo3bobo10bo2bo9bo2bo$52b2o11b2o10b3o3b2ob4obo3bob2o6b2o2b2o6b2obo
5b4obo3b4o10b2o11b2o127b2o11b2o10b4o3bob4o5bob2o6b2o2b2o6b2obo3bob4ob
2o3b3o10b2o11b2o$76bo4b3o2bo3bo3b2o24b3ob2o3bo2bo6bo175bo6bo2bo3b2ob3o
24b2o3bo3bo2b3o4bo$77b3ob2o3bobo7b3o18b3o7bobo3b2ob3o177b3ob2o3bobo7b
3o18b3o7bobo3b2ob3o$79b2obobobob8o2bo18bo2b8obobobob2o181b2obobobob8o
2bo18bo2b8obobobob2o$83b2obo8bo24bo8bob2o189b2obo8bo24bo8bob2o$87b6o
30b6o197b6o30b6o$89bo2bo30bo2bo201bo2bo30bo2bo!
Cheers !
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googoIpIex
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Re: Oscillator Discussion Thread

Post by googoIpIex » December 12th, 2021, 3:07 am

smallest oscillator containing a full pulsar quadrant, both by bounding box and population smaller than a regular pulsar:

Code: Select all

x = 13, y = 14, rule = B3/S23
10bo$3b2o4bobo$4b2o2bo2bo$bo2bobo$b3ob2obobo$2bobobobo$3b3o2bobo$8b2ob
o$2bob4o3bo$bo6b3o$o3bob2o$b2o4bob2o$7bo2bo$8b2o!
woomy on a vroomy

erictom333
Posts: 172
Joined: January 9th, 2019, 2:44 am

Re: Oscillator Discussion Thread

Post by erictom333 » December 12th, 2021, 4:14 am

googoIpIex wrote:
December 12th, 2021, 3:07 am
smallest oscillator containing a full pulsar quadrant, both by bounding box and population smaller than a regular pulsar:

Code: Select all

x = 13, y = 14, rule = B3/S23
10bo$3b2o4bobo$4b2o2bo2bo$bo2bobo$b3ob2obobo$2bobobobo$3b3o2bobo$8b2ob
o$2bob4o3bo$bo6b3o$o3bob2o$b2o4bob2o$7bo2bo$8b2o!
4 cells smaller

Code: Select all

x = 13, y = 13, rule = B3/S23
10bo$3b2o4bobo$4b2o2bo2bo$bo2bobo$b3ob2obobo$2bobobobo$3b3o2bobo$8b2ob
o$2bob4o3bo$bo5bo3b2o$o3bobo$b2o4b3o$9bo!

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Scorbie
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Re: Oscillator Discussion Thread

Post by Scorbie » December 12th, 2021, 5:00 am

JP21 wrote:
December 11th, 2021, 5:34 am
There should really be a monomer of this.

Code: Select all

#N p12 honey farm hassler
x = 52, y = 23, rule = B3/S23
10b2o5bo$9bo2bo4b3o$4b2o3b2obo2b2o3bo$4bo2bobo2bobobo2b2o8b2o$b2obob2o
bo2bobo14bo$2bobo2bobobobobo11bobo$bo2b2obobo5bo11b2o5bo5b2o$bobo2bo
15bo9b3o4bo2bo$2obobo7b3o4b2ob2o6bo3b2o2bob2o3b2o$bobo2bo15b3o6b2o2bob
obo2bobo2bo$bo2b2obobo5bo21bobo2bob2obob2o$2bobo2bobobobobo20bobobobob
o2bobo$b2obob2obo2bobo21bo5bobob2o2bo$4bo2bobo2bobobo2b2o6b3o15bo2bobo
$4b2o3b2obo2b2o3bo6b2ob2o4b3o7bobob2o$9bo2bo4b3o9bo15bo2bobo$10b2o5bo
5b2o11bo5bobob2o2bo$22bobo11bobobobobo2bobo$22bo14bobo2bob2obob2o$21b
2o8b2o2bobobo2bobo2bo$31bo3b2o2bob2o3b2o$32b3o4bo2bo$34bo5b2o!
Sadly the only things I found were a supporter reduction and a trivial collorary:

Code: Select all

x = 84, y = 33, rule = B3/S23
3bob2o46b2o11b2o$3b2obo45bo2bo9bo2bo$b2o8bo40bob2o4bo4b2obo$o3b2o5b3o
36b2o2bob9obo2b2o$ob2obo3b2o3bo36bobo4bobobo4bobo$b2o5bobo2b2o8b2o25bo
2b2o11b2o2bo$3bo4bo14bo9b2obo13b2o5b2o3b2o5b2o$3bo2bo3bo5bo4bobo9bob2o
$3b2obobo6b3o3b2o5bo8b2o16b2ob2ob2ob2o$3bo4bo5b2ob2o7b3o5b2o3bo14bo5bo
5bo$2b3o4bo2b4ob3o5bo3b2o3bob2obo14b2obo5bob2o$3bo4bo5b2ob2o6b2o2bobo
5b2o13b2o13b2o$3b2obobo6b3o13bo4bo16bo6bo6bo9b2obo$3bo2bo3bo5bo6bo5bo
3bo2bo16bobo4bo4bobo9bob2o$3bo4bo13b3o6bobob2o17b2o3b3o3b2o5bo8b2o$b2o
5bobo2b2o6b2ob2o5bo4bo21b5o7b3o5b2o3bo$ob2obo3b2o3bo5b3ob4o2bo4b3o19b
2o3b2o5bo3b2o3bob2obo$o3b2o5b3o7b2ob2o5bo4bo21b5o6b2o2bobo5b2o$b2o8bo
5b2o3b3o6bobob2o22b3o13bo4bo$3b2obo9bobo4bo5bo3bo2bo23bo6bo5bo3bo2bo$
3bob2o9bo14bo4bo29b3o6bobob2o$15b2o8b2o2bobo5b2o18b2o6b2ob2o5bo4bo$25b
o3b2o3bob2obo18bo5b3ob4o2bo4b3o$26b3o5b2o3bo15b3o7b2ob2o5bo4bo$28bo8b
2o16bo5b2o3b3o6bobob2o$33bob2o23bobo4bo5bo3bo2bo$33b2obo23bo14bo4bo$
59b2o8b2o2bobo5b2o$69bo3b2o3bob2obo$70b3o5b2o3bo$72bo8b2o$77bob2o$77b
2obo!

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iNoMed
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Re: Oscillator Discussion Thread

Post by iNoMed » December 12th, 2021, 9:40 am

Here's a possibly-new 23-cell p3 oscillator based on a slightly-modified version of a "true" pulsar quadrant:

Code: Select all

x = 11, y = 9, rule = B3/S23
2b3o2$o4bo$o4bo2b3o$o4b2obo$2b3o$4bo$4bob2o$5bobo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

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JP21
Posts: 1876
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Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 12th, 2021, 4:44 pm

This is one of the most craziest solution I have ever come up with: (p40 honey farm hassler)

Code: Select all

x = 46, y = 40, rule = B3/S23
26bo$24b3o$23bo$24bo$17b4o4bo$23bobo$19b3ob2o$14b2o4b2o7b2o$12bo2bo12b
obo$28bobob2o$12bo2bo4b3o6bobobo$13bo2bo4bo9bo$14bobo4bo8bo2bo6bo$15bo
14bo8bobo$30bo3bo4bobo$14b2o14bo7b2ob2o$4b2o8b2o14bo10bo$3bo3bo19bo3bo
bo6b2o$3bobobo18bobo4bo3b2obob2o$2obob2o2b2o16bo6b4o2bobo2bo$o2bobo2b
4o23b2o2b2obob2o$2b2obob2o3bo9b2o14bobobo$4b2o6bobo6bo2bo13bo3bo$4bo
10bo5b3o6b2o8b2o$3b2ob2o7bo6bo5bo2bo$4bobo4bo3bo$4bobo8bo12bo2bo$5bo6b
o2bo8bo4bo2bo$14bo9bo5bobo$12bobobo6b3o5bo$12b2obobo$15bobo12b2o$15b2o
7b2o4b2o$21b2ob3o$20bobo$20bo4b4o$21bo$22bo$19b3o$19bo!

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Moosey
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Re: Oscillator Discussion Thread

Post by Moosey » December 12th, 2021, 6:00 pm

random useless low-period oscillators
p3

Code: Select all

x = 11, y = 13, rule = B3/S23
7bo$2bo3bobo$2bo4bo$2bo3bo$2bo3bo$3bobo$b5obo$bo3bob3o$5obo3bo$o3bobo
2b2o$b2o3bobo$3b3o2bo$3bo4b2o!

Code: Select all

x = 10, y = 12, rule = B3/S23
b3o$b3o2b3o$2bo3b3o$bo5bo$2b2o4bo$3o3b2o$bo5b3o$obo5bo$2obo3bobo$3bo2b
ob2o$3o3bo$o4b2o!
(trivial reduction):

Code: Select all

x = 12, y = 12, rule = B3/S23
3b3o$3b3o2b3o$4bo3b3o$3bo5bo$4b2o4bo$2b3o3b2o$3bo5b3o$2bobo5bo$bob2o4b
obo$bo6bob2o$2o6bo$7b2o!
more p3s

Code: Select all

x = 35, y = 16, rule = B3/S23
15boobbo$6boboo4bob4o3boboo6boo$4b3obobob3o7bo4bo6bo$3bo4boboobob3o3bo3bobo3b3o$
4b3obbobo3bobbo3boo3bobobbo$4bobboo3bobobbobboo4booboo3bo$5bo3boboboboboobbo3bo
5b4o$3b5ob5ob5oboobboobobo$12bo6bo3boobo4boboo$7bobo8boo3boo3boobobbo$8bo4b3obbo
bboo4bo4boo$17boobbob5oboobo$18bo3boo4boobbo$20bo4boo4boboo$20boboobob3obobbo$
21boobo4boboo!
(this one has an edgy caterer-y thing or something)

Code: Select all

x = 35, y = 14, rule = B3/S23
2bo14bo2bo4bo$2bo5b2o7bo2bo2b2obob2o2b2o$b2o4b4o5b2o2b2o4bobobo2bo$5b
o6bob3o6bo2bo3b3o$bo3bo2b2o2bo9bo3b2o3bo$b2obo6b2o4bobo2bo3b2ob4o$2o7b
obob2obo2b3o3b2o2bobo$3ob2obo3bo4bobo2b2o2bobo2bo3bo$2bobo3bo2bo2b2o2b
4o4bobo2b4o$5b2obo4bobobo5b2obob3o$5b2o3bo2bobob2ob4o2b2o3b2o$4b3o4bo
3bo2bobo2bobo3bo3bo$4bobo5b3obo4bobobob2ob2o2bo$5bo8bob2o4b2ob2obobob
2o!
not active here but active on discord

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83bismuth38
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Re: Oscillator Discussion Thread

Post by 83bismuth38 » December 13th, 2021, 8:51 pm

is this tiny weak p4 sparker known?

Code: Select all

x = 15, y = 11, rule = B3/S23
5bo2b3o$4bobo$2obo4bo4b2o$o4bo3b3o2bo$b3o7b3o2$b3o7b3o$o4bo3b3o2bo$2ob
o4bo4b2o$4bobo$5bo2b3o!
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!

hotdogPi
Posts: 1627
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » December 14th, 2021, 3:02 pm

Period is four times the base gun period and must be a multiple of 5. Advance the heavyweight volcano by 3 generations and you get an additional B-heptomino that unfortunately crashes into the rest of it. 80×4=320 shown; minimum is 75.

Code: Select all

x = 98, y = 76, rule = B3/S23
30b2o4b2o$29bobo4bobo$29bo8bo$26b2obo8bob2o$27bobobo4bobobo$26bo2bobob
2obobo2bo$26bobo2bob2obo2bobo$24b3ob4o4b4ob3o$23bo7bo4bo7bo$23bo2b4o8b
4o2bo$22b2obo2bo2bo4bo2bo2bob2o$23bob2o3b2ob2ob2o3b2obo$23bo5bo2b4o2bo
5bo$24b3o3b8o3b3o$26bo14bo10$4bo2b2obo2bo$3bobo2bob6o$b3obobo8bo$o3bob
o5bo2b2o$obobobob6o3b2o14bo$b3o2b5o6bo2bo11bobo$18bobo10bo2bo$b3o2b5o
6bo2bo11b2o$obobobob6o3b2o$o3bobo5bo2b2o$b3obobo8bo$3bobo2bob6o28b2o$
4bo2b2obo2bo30bobo$44bo2$65bo3bo$64bobobobo$26b2o37b2ob2o$25bo2bo34b3o
3b3o$26b2o34b2o7b2o$61b3obo3bob3o$60b2o3b2ob2o3b2o$60b3o2b2ob2o2b3o$
61b2o9b2o$62b4o3b4o$51b2o11bo5bo5bo2b2o4b2o2bobo$51b2o6b2o3bo5bo4bobo
2b3o2bo2bob4o$51b2o6bobo13bob2o4bobob2o5bo$52bo6bo14b2o3b3obob2o2bob2o
2bo$51bobo16bo6b2o2bobo2b2obobob2o$50b2obo16b3o4b2o4b2ob2obo3bo$64b2o
7bo3b3o2b2obobo2b2obo$55b2o7bobo5bo5bobob3o3bo2b2o$51b2o3bo7bo7bobo13b
2o$51b2o3bob2obo14bob2o5b2obo$55b2obob2o11b2o2bo10bobob2o$54bo3bo3b2o
5b2o7b3o6b2ob2obo$55b3ob2o3bo4bobo3b3ob2o$57bo3b2obo4bo5bo$59bobo20b2o
6bo2b2o$58b2o2bobo16bo2bo4bobo2bo$55bo2bobobo2bo7bo7bo7bobobo$55b2obob
5o7bobo13b2obob2o$58bobobobo6b2ob2o4bo4bo2bo2bo3bo$55b2obobobo9bob2o3b
o5bo2b3o2b2obo$55bobo3bo3bo7b2o4bo8b4o4bo$62b4o13bo5bo2b3o2b3o$80bo4bo
2bo2bo$62b2o24b2obob5o$62b2o17bo7bobo2bo2bo$81bo2bo4bo2bo$82b2o6b2o!

User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

User avatar
muzik
Posts: 5652
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Oscillator Discussion Thread

Post by muzik » December 14th, 2021, 6:36 pm

Higher-symmetry ring of fire. I assume the one on the wiki and in DRH-oscillators is the original size when first discovered?

Code: Select all

x = 26, y = 26, rule = B3/S23
12bo$10bobobo$8bobobobobo$6bobobobobobobo$4bobobo2b2obobobobo$5b2obo6b
o2bobobo$3bo3bo10bob2o$4b3o12bo3bo$2bo17b3o$3b2o19bo$bo3bo16b2o$2b4o
15bo3bo$o21b3o$b3o21bo$o3bo15b4o$2b2o16bo3bo$bo19b2o$3b3o17bo$2bo3bo
12b3o$4b2obo10bo3bo$3bobobo2bo6bob2o$5bobobobob2o2bobobo$7bobobobobobo
bo$9bobobobobo$11bobobo$13bo!
Internal changes can make it mod 1:

Code: Select all

x = 26, y = 26, rule = B3/S23
12bo$10bobobo$8bobobobobo$6bobobobobobobo$4bobobo2b2obobobobo$5b2obo6b
o2bobobo$3bo3bo10bob2o$4b3o12bo3bo$2bo17b3o$3b2o19bo$bo3bo16b2o$2b3o
16bo3bo$o20b4o$b4o20bo$o3bo16b3o$2b2o16bo3bo$bo19b2o$3b3o17bo$2bo3bo
12b3o$4b2obo10bo3bo$3bobobo2bo6bob2o$5bobobobob2o2bobobo$7bobobobobobo
bo$9bobobobobo$11bobobo$13bo!
Further reduction still:

Code: Select all

x = 20, y = 20, rule = B3/S23
10bo$8bobobo$6bobobobobo$4bobobobobobobo$2bobobo2b2obob2o$3b2obo6bo3bo
$bo3bo8b3o$2b3o13bo$o15b2o$b4o10bo3bo$o3bo10b4o$2b2o15bo$bo13b3o$3b3o
8bo3bo$2bo3bo6bob2o$4b2obob2o2bobobo$3bobobobobobobo$5bobobobobo$7bobo
bo$9bo!

User avatar
muzik
Posts: 5652
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Oscillator Discussion Thread

Post by muzik » December 14th, 2021, 6:58 pm

Is this extended pulsar-caterer thing a known oscillator? No pattern collections I've checked seem to have it. It can't be quasar-ified to my knowledge but there may be fenceposts for it somewhere.

Code: Select all

x = 83, y = 35, rule = B3/S23
52b3o$53b2o$52b2o$53bo$48bobo$48b4ob3o$4b3o5b3o33b2o3b4o$5b2o5b2o39b2o
bo$4b2o7b2o39b2o4b3o$5bo7bo46b2o$obo13bobo35b2o5b2o$4ob3o3b3ob4o34b2ob
o4bo$2o3b4ob4o3b2o29b2o3b4o7bobo$5b2obobob2o34b4ob3o3b3ob4o$6b2o3b2o
35bobo7b4o3b2o$53bo4bob2o$6b2o3b2o39b2o5b2o7b3o$5b2obobob2o39b2o13b2o$
2o3b4ob4o3b2o33b3o7b2o5b2o$4ob3o3b3ob4o42b2obo4bo$obo13bobo37b2o3b4o7b
obo$5bo7bo42b4ob3o3b3ob4o$4b2o7b2o41bobo7b4o3b2o$5b2o5b2o47bo4bob2o$4b
3o5b3o45b2o5b2o7b3o$61b2o13b2o$60b3o7b2o5b2o$69b2obo4bo$64b2o3b4o7bobo
$64b4ob3o3b3ob4o$64bobo7b4o3b2o$69bo4bob2o$68b2o5b2o$69b2o$68b3o!

User avatar
wwei47
Posts: 1679
Joined: February 18th, 2021, 11:18 am

Re: Oscillator Discussion Thread

Post by wwei47 » December 14th, 2021, 7:15 pm

muzik wrote:
December 14th, 2021, 6:58 pm
Is this extended pulsar-caterer thing a known oscillator? No pattern collections I've checked seem to have it. It can't be quasar-ified to my knowledge but there may be fenceposts for it somewhere.

Code: Select all

x = 83, y = 35, rule = B3/S23
52b3o$53b2o$52b2o$53bo$48bobo$48b4ob3o$4b3o5b3o33b2o3b4o$5b2o5b2o39b2o
bo$4b2o7b2o39b2o4b3o$5bo7bo46b2o$obo13bobo35b2o5b2o$4ob3o3b3ob4o34b2ob
o4bo$2o3b4ob4o3b2o29b2o3b4o7bobo$5b2obobob2o34b4ob3o3b3ob4o$6b2o3b2o
35bobo7b4o3b2o$53bo4bob2o$6b2o3b2o39b2o5b2o7b3o$5b2obobob2o39b2o13b2o$
2o3b4ob4o3b2o33b3o7b2o5b2o$4ob3o3b3ob4o42b2obo4bo$obo13bobo37b2o3b4o7b
obo$5bo7bo42b4ob3o3b3ob4o$4b2o7b2o41bobo7b4o3b2o$5b2o5b2o47bo4bob2o$4b
3o5b3o45b2o5b2o7b3o$61b2o13b2o$60b3o7b2o5b2o$69b2obo4bo$64b2o3b4o7bobo
$64b4ob3o3b3ob4o$64bobo7b4o3b2o$69bo4bob2o$68b2o5b2o$69b2o$68b3o!
Fenceposts:

Code: Select all

x = 35, y = 33, rule = B3/S23
5b2o$5bo$7bo$3b5o4b3o$3bo8b2o$6b2o5b2o$5b2obo4bo$2o3b4o7bobo$4ob3o3b3o
b4o$obo7b4o3b2o$5bo4bob2o$4b2o5b2o7b3o$5b2o13b2o$4b3o7b2o5b2o$13b2obo
4bo$8b2o3b4o7bobo$8b4ob3o3b3ob4o$8bobo7b4o3b2o$13bo4bob2o$12b2o5b2o7b
3o$13b2o13b2o$12b3o7b2o5b2o$21b2obo4bo$16b2o3b4o7bobo$16b4ob3o3b3ob4o
$16bobo7b4o3b2o$21bo4bob2o$20b2o5b2o$21b2o8bo$20b3o4b5o$27bo$29bo$28b
2o!

cvojan
Posts: 373
Joined: October 7th, 2018, 7:07 pm
Location: Feel free to delete

Re: Oscillator Discussion Thread

Post by cvojan » December 15th, 2021, 12:15 am

Possibly new traffic light hassler:

Code: Select all

x = 22, y = 44, rule = B3/S23
$13bo$13bo$13bo$16bo$9b3o4bo2$13bo4b2o$13bo4bobo$13bo6bo$8b4o8b2o$7b6o
$7b6o2$8b4o$7b6o$7bo4bo$8b4o$9b2o$3b2o10b2o$3bobo2bo2bo2bobo$bobob4o2b
4obobo$b2obobob4obobob2o$4bob2o4b2obo$b2obo2b2o2b2o2bob2o$obobo3bo2bo
3bobobo$obobo10bobobo$bo2bob2o4b2obo2bo$2b2o12b2o$4b2o8b2o$4bo10bo$b2o
bo10bob2o$2bobob8obobo$2bobobob4obobobo$b2obo2bob2obo2bob2o$2bobo10bob
o$2bobo10bobo$b2obobo6bobob2o$4bobobo2bobobo$4bobob4obobo$5b3o4b3o$8b
4o$3b4obo2bob4o$3bo2b2o4b2o2bo!
It can be coupled onto the P16 heavyweight sparker to make a P48:

Code: Select all

x = 28, y = 29, rule = B3/S23
2o$bo$bobo$2b2o$8bo$7b2o$8bo3$18b2o3b2o$18b2o3b2o$14bo$8b2o3b2o$8b2o2b
o10bo$13bo3b2o2b2obo$13bo3bo6b2o2$8b2o$8b2o3bo7b2o$13b2o7bo3b2o$26b2o
2$10b2o6bo3bo$11bob2o2b2o3bo$12bo10bo2b2o$21b2o3b2o$21bo$11b2o3b2o$11b
2o3b2o!
Note that it can take any *WSS-type emulator reaction too

Code: Select all

x = 21, y = 28, rule = B3/S23
11b3o2$9bo$9bo$9bo$17b2o$11b3o3bobo$2b2o15bo$o4bo13b2o$6bo$o5bo$b6o5$
11b3o2$9bo$9bo$9bo$17b2o$11b3o3bobo$3bo15bo$bo3bo13b2o$6bo$bo4bo$2b5o!
EDIT: Since I haven't posted this elsewhere, here are the most common interactions with the traffic stop:

Code: Select all

x = 63, y = 13, rule = B3/S23
5b3o13b3o13b3o13b3o2$3bo15bo15bo15bo$3bo15bo15bo15bo$3bo15bo15bo15bo$
11b2o14b2o14b2o14b2o$5b3o3bobo7b3o3bobo7b3o3bobo7b3o3bobo$13bo15bo15b
o15bo$13b2o14b2o14b2o14b2o$b5o14b3o13b3o13b3o$o5bo13bobo9b2o2b2o$7bo12b
obo9b2o2b2o17b2o$38bo!
Last edited by cvojan on February 15th, 2022, 12:06 pm, edited 1 time in total.

User avatar
83bismuth38
Posts: 556
Joined: March 2nd, 2017, 4:23 pm
Location: perpendicular to your eyes
Contact:

Re: Oscillator Discussion Thread

Post by 83bismuth38 » December 15th, 2021, 1:31 am

cvojan wrote:
December 15th, 2021, 12:15 am
It can be coupled onto the P16 heavyweight sparker to make a P48:

Code: Select all

x = 28, y = 29, rule = B3/S23
2o$bo$bobo$2b2o$8bo$7b2o$8bo3$18b2o3b2o$18b2o3b2o$14bo$8b2o3b2o$8b2o2b
o10bo$13bo3b2o2b2obo$13bo3bo6b2o2$8b2o$8b2o3bo7b2o$13b2o7bo3b2o$26b2o
2$10b2o6bo3bo$11bob2o2b2o3bo$12bo10bo2b2o$21b2o3b2o$21bo$11b2o3b2o$11b
2o3b2o!
works with odd periods, too! check out 104p9 for a p36:

Code: Select all

x = 21, y = 30, rule = B3/S23
11b3o2$9bo5bo$9bo5bo$9bo5bo$17b2o$11b3o3bobo$19bo$19b2o$2b2o2b6o2b2o$
2bo2bo6bo2bo$3b3o6b3o2$3b4o4b4o$2bo12bo$3b12o$7bo2bo$5b2o4b2o$4bo8bo$
4b2o6b2o2$7bo2bo$7bo2bo$6bo4bo$3bobobo2bobobo$b3obobo2bobob3o$o3b2ob4o
b2o3bo$b2o3bo4bo3b2o$3b2o2bo2bo2b2o$3bob2o4b2obo!
p60:

Code: Select all

x = 31, y = 30, rule = B3/S23
29b2o$29bo$27bobo$22b2o3b2o$24bo$25bo$22bobo$23bo2$11bo$11bobo$2o12b2o
$2o12b2o$14b2o$11bobo6b3o$11bo8b3o$19bo3bo2$18b2o3b2o10$20b2o$20b2o!
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!

hotdogPi
Posts: 1627
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » December 15th, 2021, 10:41 am

p126 found by hand. The base reaction was known before, but I discovered it independently and completed it by myself.

The block and p9 thumb only delete junk; you might be able to get a glider out of it. In fact, one of my attempts released an unsalvageable MWSS.

Code: Select all

x = 38, y = 29, rule = B3/S23
22b2o7b2o$22b2o7b2o2$5b2o22b6o$5bo2b2o19bo2bo2bo$6bobobo23bo$5b2obo2bo
18bobo2b3o$4bo3b3o19b5o2bo$5b4obo19bo3bo$2b3o3b2o21b2obobo$2bo2bob2obo
21bo2b2o$5bo3bo10b3o7bobo$6bob3o11bo7b2o$3b3o3b2o9b3o$3bo5b2o16b2o5bo$
27b2o3b3o$6b2o19b3obo$5bobo20bo3bo$b2o2bo21bob2obo2bo$bobob2o21b2o3b3o
$3bo3bo19bob4o$o2b5o19b3o3bo$3o2bobo18bo2bob2o$3bo23bobobo$2bo2bo2bo
19b2o2bo$3b6o22b2o2$5b2o7b2o$5b2o7b2o!
Stable junk eater by iNoMed:

Code: Select all

x = 34, y = 35, rule = B3/S23
13bo$12bobo$12bobo$10b3ob2o3b2o$9bo9b2o$10b3ob2o$3b2o7bob2o$3bo2b2o20b
2o$4bobobo19bo$3b2obo2bo9bo6bobo$2bo3b3o11b2o4b2o$3b3o13b3o$3o2bob2o
12b3o$o2b2ob3o13b2o$3bo$4bo12bo$b3o3b2o8bo$bo5b2o8bo7b2o5bo$16b2o7b2o
3b3o$16b6o7bo$18b3o9bo$19bo5b3ob2o2bo$25b2obo2b3o$28b3o$6b2o17b3o3bo$
5bobo16bo2bob2o$5bo19bobobo$4b2o20b2o2bo$18b2obo7b2o$18b2ob3o$13b2o9bo
$13b2o3b2ob3o$19bobo$19bobo$20bo!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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