For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
gameoflifemaniac
Posts: 1032
Joined: January 22nd, 2017, 11:17 am
Location: There too

Code: Select all

x = 8, y = 12, rule = LifeHistory
5.A$5.A.A$5.2A6$4.2A$2C2.A.A$2C3.A.A$6.2A!

Or this?

Code: Select all

x = 10, y = 13, rule = LifeHistory
7.A$7.A.A$7.2A6$6.2C$2.2A2.2C$.A.A$A.A$2A!  ? Last edited by gameoflifemaniac on April 5th, 2020, 5:47 am, edited 1 time in total. I was so socially awkward in the past and it will haunt me for my entire life. yujh Posts: 1012 Joined: February 27th, 2020, 11:23 pm Location: China Contact: ### Re: Thread for your unsure discoveries Is this tagalong thing known? I’m not good at B3/S23 Code: Select all x = 36, y = 16, rule = B3/S23 ........o..................o........$
.......ooo................ooo.......$.....oo.ooo..............ooo.oo.....$
....o.o..o.oo....oo....oo.o..o.o....$...oo.o....o.o.oo..oo.o.o....o.oo...$
..o.o.o.o..o.o........o.o..o.o.o.o..$.oo.o.......ooo.o..o.ooo.......o.oo.$
o...o......oo..........oo......o...o$....................................$
oo.oo............oo............oo.oo$......o...oooo.oo..oo.oooo...o......$
.o...o.oo.oooo........oooo.oo.o...o.$o.........o..oo.o..o.oo..o.........o$
..ooo...o....o........o....o...ooo..$......oo.....o........o.....oo......$
....................................!
And:

Code: Select all

x = 32, y = 12, rule = B3/S23
..........o....oo....o..........$.........ooo.oo..oo.ooo.........$
........oooo........oooo........$.......oo..oo.o..o.oo..oo.......$
........o..............o........$.......oo..............oo.......$
.....oo.o.oo........oo.o.oo.....$......o.o..oo......oo..o.o......$
...oo.o..o..o......o..o..o.oo...$...oo.o.....oo....oo.....o.oo...$
...o.o.......o....o.......o.o...$..oo.oo.....o.o..o.o.....oo.oo..! Edit: Code: Select all #N WOW x=0,y=0,rule=B3/S23 ..............oooo..............$
..........ooo.oooo.ooo..........$..ooo....o....o..o....o....ooo..$
..o..o..o...o.o..o.o...o..o..o..$..o..o..o.....oooo.....o..o..o..$
.o......o.ooo......ooo.o......o.$.o..oo....o..........o....oo..o.$
.......oo.ooo......ooo.oo.......$.o....o..ooooo....ooooo..o....o.$
.....o...o............o...o.....$................................! B34kz5e7c8/S23-a4ityz5k!!! Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc. B2ikn35j6i/S23-a8 B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8 yujh Posts: 1012 Joined: February 27th, 2020, 11:23 pm Location: China Contact: ### Re: Thread for your unsure discoveries Known? Code: Select all x=0,y=0,rule=B3/S23 ....ooo.....$
....o..o....$....o.......$
....o....o..$....o...ooo.$
..o.....o.oo$.o.......ooo$
..o.oo...oo.$...o........$
.o..........$.oo.....o...$
.o.o...ooo..$..ooo.oo.o..$
..ooo.ooo...$..ooo.ooo...$
..oo..ooo...$.......oo...$
The HWSS on the right is useless.
B34kz5e7c8/S23-a4ityz5k!!!
Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc.
B2ikn35j6i/S23-a8
B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8

gameoflifemaniac
Posts: 1032
Joined: January 22nd, 2017, 11:17 am
Location: There too

gameoflifemaniac wrote:
April 2nd, 2020, 10:43 am

Code: Select all

x = 8, y = 12, rule = LifeHistory
5.A$5.A.A$5.2A6$4.2A$2C2.A.A$2C3.A.A$6.2A!

Or this?

Code: Select all

x = 10, y = 13, rule = LifeHistory
7.A$7.A.A$7.2A6$6.2C$2.2A2.2C$.A.A$A.A$2A!  ? ? I was so socially awkward in the past and it will haunt me for my entire life. HartmutHolzwart Posts: 463 Joined: June 27th, 2009, 10:58 am Location: Germany ### Re: Thread for your unsure discoveries without the unnecessary HWSS, this one is in jslife, ships-c2-small.rle, third column, 36 bits. For c/2, p4 extensive searches were run, so that I guess there is nothing new to find any more. Hunting Posts: 3014 Joined: September 11th, 2017, 2:54 am ### Re: Thread for your unsure discoveries Yep, do not except new CGoL things to come out of rlifesrc. And c/2 unsimplified ships, like p2 oscillators, are boring. MLP will live on forever, so does John Horton Conway. Moosey wrote: February 5th, 2019, 7:51 pm “New knightship tagalong!” “Quick, hide it!” My TODO list LeapLife - DirtyLife - LispLife I could make a rule in ten seconds flat yujh Posts: 1012 Joined: February 27th, 2020, 11:23 pm Location: China Contact: ### Re: Thread for your unsure discoveries So, what about this?(should be known) Code: Select all x = 12, y = 12, rule = B3/S23 oo...o......$
oo..o.o.oo..$....o...oo..$
oo...oooo...$oo......oo..$
.......o..o.$.......o..o.$
oo......oo..$oo...oooo...$
....o...oo..$oo..o.o.oo..$
oo...o!
B34kz5e7c8/S23-a4ityz5k!!!
Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc.
B2ikn35j6i/S23-a8
B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

yujh wrote:
April 5th, 2020, 9:52 pm
Ignoring the blocks, which contribute nothing and aren't even part of the same object, yes, this 22-bit P4 oscillator is known, and even has a 10-glider synthesis.

400spartans
Posts: 6
Joined: April 28th, 2020, 7:12 pm

Weird c/4 spaceship that's rather similar to non-monotonic spaceship 1.

Code: Select all

x = 14, y = 27, rule = B3/S23
2b3o4b3o$3bo6bo3$2b3o4b3o$6b2o$bo4b2o4bo$bo2bo4bo2bo$3b2o4b2o$2obobo2b obob2o$bo3bo2bo3bo$2bo8bo$bo2bo4bo2bo$2b2o6b2o$2bob6obo$bob3o2b3obo$5b
4o$2o10b2o$4bo4bo$3b3o2b3o2$3b2o4b2o$3bo6bo$2b3o4b3o$3bob4obo$3bobo2bo
bo$4b2o2b2o! JP21 Posts: 1000 Joined: October 26th, 2019, 5:39 am Location: PH ### Re: Thread for your unsure discoveries 400spartans wrote: April 28th, 2020, 7:26 pm Weird c/4 spaceship that's rather similar to non-monotonic spaceship 1. Code: Select all x = 14, y = 27, rule = B3/S23 2b3o4b3o$3bo6bo3$2b3o4b3o$6b2o$bo4b2o4bo$bo2bo4bo2bo$3b2o4b2o$2obobo2b
obob2o$bo3bo2bo3bo$2bo8bo$bo2bo4bo2bo$2b2o6b2o$2bob6obo$bob3o2b3obo$5b 4o$2o10b2o$4bo4bo$3b3o2b3o2$3b2o4b2o$3bo6bo$2b3o4b3o$3bob4obo$3bobo2bo bo$4b2o2b2o!
You just have to check the jslife moving collection to know that it's not new.

Posts: 3
Joined: April 29th, 2020, 1:00 pm

Hello everyone, I've been trying by getting into Life by messing around with some period two oscillators.
Does anyone with more experience know if the following are known?
It's nothing too impressive, but I'm just trying to warm up.

I couldn't find oscillators similar to this one.

Code: Select all

x = 9, y = 9, rule = Life
6b2o$6bo$8bo$4b5o$3bo$3bo3b2o$2obo3b2o$o2bob2o$2b2ob2o!

The following one vaguely looks like the Lei, but isn't the exact same.
Can it be considered a variant?

Code: Select all

x = 10, y = 7, rule = Life
6bo$4bobobo$2bo5bo$obo4bobo$bo5bo$bobobo$3bo!

This one looks like 14P2.1.

Code: Select all

x = 9, y = 7, rule = Life
2o$obob3o2$2bo3bo2$2b3obobo$7b2o!

For future reference, are there any precise rules to what constitutes a variant?
Thanks.

A for awesome
Posts: 2043
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

May 1st, 2020, 5:09 am
Hello everyone, I've been trying by getting into Life by messing around with some period two oscillators.
Does anyone with more experience know if the following are known?
It's nothing too impressive, but I'm just trying to warm up. :D

I couldn't find oscillators similar to this one.

Code: Select all

rle
The following one vaguely looks like the Lei, but isn't the exact same.
Can it be considered a variant?

Code: Select all

rle
This one looks like 14P2.1.

Code: Select all

rle
For future reference, are there any precise rules to what constitutes a variant?
Thanks.
These are pretty nice manual finds! I should note that all period 2 oscillators up to 21 bits are known, though (they were exhaustively enumerated by a computer search in the 1990s), and larger ones may not be considered important unless they have some special property like being naturally occurring, having some sort of unusual rotor configuration, acting as a catalyst, etc. For oscillators, there's no strict rule on what constitutes a variant, but for low-period oscillators, useful or interesting variants will generally have some interesting property that the original doesn't, like a lower population or bounding box, the ability for a glider or other pattern to pass closer to it on some side, or a reaction that works with the variant but not the original. (For higher-period oscillators the bar is lower — basically unless it's a stator variant, it will probably be worthwhile enough to post.)

Welcome to the forums!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

JP21
Posts: 1000
Joined: October 26th, 2019, 5:39 am
Location: PH

May 1st, 2020, 5:09 am
Hello everyone, I've been trying by getting into Life by messing around with some period two oscillators.
Does anyone with more experience know if the following are known?
It's nothing too impressive, but I'm just trying to warm up.

I couldn't find oscillators similar to this one.

Code: Select all

Life
The following one vaguely looks like the Lei, but isn't the exact same.
Can it be considered a variant?

Code: Select all

Life
This one looks like 14P2.1.

Code: Select all

Life
For future reference, are there any precise rules to what constitutes a variant?
Thanks.
Most P2 mechanisms are known and almost all are generally boring.
Just looking at my P2s that I've made back months ago...

Code: Select all

x = 557, y = 520, rule = B3/S23
296bo$294bobo$284bo7bo5bo3bo$282bobo5bobo9bobob3o$286bobo6bobob2o55bo$280b2o6bo6bo9bobo46bobo$293bo7bobo4bo35bo7bo5bo$280bo22bo3b2o33bobo5bo bo$278bo13b2o46bo5bobo9b2o$276bobo59bobo7bo$294bo62bo$274b2o60b2o$294b
2o60b2o$275bo61bo$277bo6bo6bobo45bo6bo6bobo$277bobo4bobo4bo47bobo4bobo 4bo$281b2o5b2o53b2o5b2o$280bo6bo54bo6bo$282bo6bo54bo6bo$280b2o5b2o53b 2o5b2o$282bo6bo54bo6bo$280bo6bo54bo6bo$281b2o5b2o53b2o5b2o$280bo6bo54b o6bo$282bo6bo54bo6bo$122b2o156b2o5b2o53b2o5b2o$122bo159bo6bo54bo6bo$117bob2obob2o154bo6bo54bo6bo$117b2obobo158b2o5b2o53b2o5b2o$122bobo155b o6bo54bo6bo$122bo159bo6bo54bo6bo$118bobo159b2o5b2o53b2o5b2o$118bo163bo
6bo54bo6bo$114bobo163bo6bo54bo6bo$114bo166b2o5b2o53b2o5b2o$101b2o7bobo 167bo6bo54bo6bo$102bo7bo53b2obo114bo6bo54bo6bo$101bo4bobo55bo3b2o110b 2o5b2o53b2o5b2o$101b2o3bo58bo116bo6bo54bo6bo$104bo62bo112bo6bo54bo6bo$
99b5o63bo113b2o5b2o53b2o5b2o$99bo4bo64bo110bo6bo54bo6bo$100bobo63b4o
112bo6bo54bo6bo$102bo177b2o5b2o53b2o5b2o$163bobo2b2o112bo6bo54bo6bo$163bo5bo110bo6bo54bo6bo$159bobo6bo112b2o5b2o53b2o5b2o$89b2o68bo8b2o 110bo6bo54bo6bo$90bo54bo9bobo124bo6bo54bo6bo$85b3o2bob2o50bobo8bo124b 2o5b2o53b2o5b2o$85b4obob2o50bobo4bobo128bo6bo54bo6bo$89bo53b2ob2o3bo 128bo6bo54bo6bo$88bo42b2obo10bo3bo131b2o5b2o53b2o5b2o$131bo3b2o8bob2o 131bo6bo54bo6bo$84bobobobo41bo13bo2bo132bo6bo54bo6bo$84bo4b2o43bo12bo 132b2o5b2o53b2o5b2o$80bobo51bo14bo128bo4bobo4bobo47bo4bobo4bobo$80bo 55bo8b2o3bo125bobo6bo6bo45bobo6bo6bo$76bobo54b3obo9bob2o143bo61bo$76bo 60bo136b2o60b2o$67b2o3bobo55bobo2b2o157b2o60b2o$67bo4bo57bo5bobob2o 133bo61bo$68bobo55bobo6bo2b2obo149bobo59bobo$126bo8b2o139b2o13bo46b2o 13bo$68bo2bo40bo9bobo136b2o3bo22bo59bobo$64b2obobo2bo38bobo8bo138bo4bo bo7bo62bo9bo$64b2obobo2bo37bo2bo4bobo141bobo9bo6bo6b2o57bo$67bo3bo38b 2ob2o3bo150b2obobo6bobo56b2o$67b2o43bo3bo144b3obobo9bobo5bobo58b2o$112bob2o151bo3bo5bo7bo55bo$113bo2bo156bobo67bobo$114bo158bo69bo$116bo$112b2o3bo$114bob2o2$199b2o$98b3o97bobo2$96b2obo94bobob2o$100bo53b2o11b
2o3bo21bo10bo3bo294b2o10b2o$94b2o3b2o51bo2bo11bo4bobo15bobo7b2obobo3bo 294bobo10bo$150bobobo13bobo19bo16bo2bo303bobo$90bobobobo78b2o9bobo13bo 303bobo$90bo4b2o51b2o3b2o12b3obobo12bo17bobobobo301bobo$86bobo84bo3b2o 3bobo19bo4b2o297bobo$86bo61bo4bo28bo329bo$82bobo64bobo27b2o328bo$82bo
64bo3bo25bo333bobo$73b2o3bobo39b2o55b2o328bobo$73bo4bo41bo3bo18bobobob
o363bobo$75b2o45bobo18bo6bo354bobo$69b2o50bo4bo12bobo7b2o364bobo$69bob ob2o64bo363bobo10b2o$121b2o3b2o7bobo$69bo2bo62bo365bobo35bo$70bo52bobo
bo3bobo403bobo$70bo54bo5bo367bobo39bobo$127bobo405b2o6bo$493bo3bobo45b o$125bobo363bobo41bo$125b2o62b2o304bobo15bo3bo5bo3bo5bo11b2o$188bobo
298b2o20bobo3bobobobo3bobobobo$497bo11bo5bo9bo18bo$184bobob2o3bo25b2o
9b2o258bo16bobo10bo9bo$184bo8bobob3o19bobo7bobo265b2o6bo6bobobobo3bobo bobo3bo10b2o$158b2o4bo15bobo7b2o299b2o10bobo6bo5bo3bo5bo3bobo$158bobob obo15bo15bobo22bobo3bobo269bobo8bo31bo$166bo9bobo13bobo4bo291bo9bo33b
2o$158bo2bo14bo17bo3b2o23bobobo281b2o30b2o$159bo3bobob2o3bobo314b2o45b
o$159bo3bo8bo48b2o3bo284bobo24bobo$169b2o49bo268bo23bo24bo$167bo56bobo bobo284bobo3bo23bo$167b2o49b2o10bo256b2o4bo23bo3bobo19bobo$222bobo7bo 258bobo25bo5bo21bobo$218bo3b2o263bo7bobo27bobo13b2o6bo$232b2o255b2o6bo 18bobobobo6bo21bo$91b2o4b2o117b2o67bo202bo10bo16bo5bo6bobo9bo$91bo4bob o135bobo7bo38bobo185bo18b2o12bo9bo9bobo6bo5bo11b2o$93b2o122bo18bo5bobo
36bo5bo181bobo17bo9b2o3bobo19bo6bobobobo$96b2o140bobo5bobo3b2o25bobo6b 2o2bo180bo17b2o9bo10b2o13bobo19bo$91b2o124bobo20bo7bo4bo38bobo172b2o
21bo9b2o5b2o13b2o6bo5bo$98b2o116bo4bo7bo20bobo24b2o11bo182b2o17b2o9bo 11bobo3bobo8bobo3bo10b2o$89b2o125b2o3bobo5bobo63b2o170bo23bo9b2o5bo8bo
16bo3bobo$100b2o123bobo5bo18bo25bo9b2o185bobo15b2o9bo5bo8bobo9bo16bo$
87b2o136bo7bobo59bo169b2o10bo14bo9b2o6bobo16bobo9b2o$102b2o148b2o25b2o 4bo3bo189bobo12b2o9bo15bo11bobo11b2o$85b2o149b2o43bobobo5bobobo169bo
15bo11bo9b2o8b2o12b2o6bo6bo$104b2o140b2o3bo35bo3bo4b2o178bo6bobo9b2o9b o14b2o14bo6bobo$83b2o152bo7bobo33bo181b2o11bobo6bo8bo9b2o8bo12bo16bo$106b2o131bo10b2o35b2o9bo158bo16bo12bo8b2o9bo8bo6bobo11b2o$76b2o3b2o29b
2o125bobobobo34b2o173bobo6bo14b2o14bo9b2o9bobo6bo$76bo31b2obobo135bo 36bo11b2o159bo6bo6b2o12b2o8b2o9bo11bo15bo$77bob2o162bo3b2o33bobo168b2o
11bobo11bo15bo9b2o12bobo$110bo2bo170bo2b2o6bobo161b2o9bobo16bobo6b2o9b o14bo10b2o$76b3o33bo129bobobo42bo5bo157bo16bo9bobo8bo5bo9b2o15bobo$112bo178bobo167bobo3bo16bo8bo5b2o9bo23bo$240bobo3bobo42bo159b2o10bo3bo
bo8bobo3bobo11bo9b2o17b2o$465bo5bo6b2o13b2o5b2o9bo21b2o$238bobo7bobo
86bo3b2o108bo19bobo13b2o10bo9b2o17bo$238b2o9b2o84bobo4bo119bobobobo6bo 19bobo3b2o9bo17bobo$339bobo107b2o11bo5bo6bobo9bo9bo12b2o18bo$333b2o74b o50bo9bobo6bo5bo16bo10bo$341bo65bobo40bo21bo6bobobobo18bo6b2o$333bo77b o40bo6b2o13bobo27bobo7bo$341b2o62b2o45bobo21bo5bo25bobo$172b3o156b2o4b o61bo11b2o43bobo19bobo3bo23bo4b2o$155b3o177bobo5bo53bobo5bo50bo23bo3bo
bo$171b2o2bobo153bo7bo61bobo9bobo47bo24bo23bo$154b2o2bo18bo155b2o8b2o
50b2o6bo11bo45bobo24bobo$172bo6bo152bo6b2o76bo47bo45b2o$43bo3b2o106bo
2b2o174b2o6bo53bo62b2o30b2o$4bo36bobo4bo124b2o4b2o152bo6b2o56bo18b2o 46b2o33bo9bo$2bobo40bobo108b3o176b2o6bo54bobo58bo31bo8bobo$6bobo30b2o 133bo6bo152bo6b2o59bo16bo47bobo3bo5bo3bo5bo6bobo10b2o$2o6bo38bo67bo7b
2o51bo159b2o6bo57bobo52b2o10bo3bobobobo3bobobobo6bo6b2o$10bo29bo74bobo 5b2o51bobo2b2o152bo6b2o75b2o50bo9bo10bobo16bo$bo45b2o58b2o2bobo223b2o
6bo59b2o50bo18bo9bo5bo11bo$10b2o29b2o64bo3bo6b2o3b4o52b3o154bo6b2o76bo 46bobobobo3bobobobo3bobo20b2o$2b2o36bo3bobo57b2obobo10bobo3bo211b2o6bo
58bo49b2o11bo5bo3bo5bo3bo15bobo$12bo25bobo3bo58bobo2bo14b2o212bo6b2o 75b2o43bo41bobo$3bo8bo25bo64bobo3bo10bo218b2o6bo55b2o7bo43bo45bobo3bo$10b2o2bo21b2o66bo6bo7bo2bo2bo212bo6b2o65bobo8bo34bo6b2o$4b2o9b2o13bo
80bobo5bo3b2o215b2o6bo54bo6bo47bobo39bobo$6bo2b2o19bobo2b2o78bobo221bo 6b2o67b2o6b2o37bobo$8bo8bo10bo5bo80bo225b2o6bo51b2o6b2o51bo35bobo$8bo 25bo305bo6b2o67bo3bobo$17b2o8b2o313b2o6bo51bo3bobo11bo63b2o10bobo$9b2o 24b2o130b3o6bo164bo6b2o56bo10b2o65bobo$16bo12bo144bobo166b2o6bo51b2o
89bobo$10bo24bo116b3o11b2o2bobo5bo163bo6b2o65b2o68bobo$12bobobobo8bobo
bobo138bo35b3o133b2o6bo49b2o88bobo$12bo4b2o8b2o4bo117b2o2bo10bo11b2o 163bo6b2o63b2o71bobo$206b2obo135b2o6bo47b2o89bo$151bo3b2o7b2o11bo32bo 133bo6b2o61b2o73bo$171bo32b2o3b2o135b2o6bo45b2o89bobo$149b2o3bo10bo5bo bo2b2o167bo6b2o59b2o72bobo$167bobo32b2o143b2o6bo43b2o92bobo$150bo2b2o 12bo6b3o169bo6b2o57b2o71bobo$200b2o146b2o6bo41b2o84bo10bobo$151b3o193b o6b2o55b2o71b2o10b2o$72b2o29bo94b2o149b2o6bo39b2o$71bo2bo9b2o5b2o9bobo 13bo226b2o8b2o53b2o$72b3o10bo2bo2bo10bobo7bob2obobob2obo71b2o97b2o53bo
7bo37b2o$85bobobobo6bob2obob2obo3b2obobobobob2o166b2obobo49bo5bobo54b 2o$74b3o9bobobo7b2obobobob2o7bobobo73b2o95bo60bo4b2o36b2o$73bo2bo11bo 14bo14bo173bo3bo50b2o59b2o44bo4b2o$73bo14bo14bo14bo73b2o162bo37b2o58bo
bobobo$71bo3bo10bo3bo10bo3bo10bo3bo172b2obobo49bo58b2o43bo$190b2o105b
2o56b2o36b2o63bo3bo64bo18bo$70b2o3b2o8b2o3b2o8b2o3b2o8b2o3b2o170b2o54b obo55b2o43b2o9bobo62bobo14bobo$188b2o157bo4bobo37b2o64b3o64bo22bo$72bo bo12bobo12bobo12bobo171b2o54b2o3bo52b2o46bo11b2o56b2o5b2o10b2o$73bo2bo
11bo14bo14bo67b2o203b2o148bo6b2o$74b3o9bobobo7b2obobobob2o7bobobo169b 2o112b2o47b2o11bo55bo7bo$85bobobobo6bob2obob2obo3b2obobobobob2o59b2o
204b2o67b3o77b2o6bo$72b3o10bo2bo2bo10bobo7bob2obobob2obo164b2o112b2o 50bobo9b2o52b2o5b2o15b2o$71bo2bo9b2o5b2o9bobo13bo63b2o205b2o66bo3bo65b
o12bo$72b2o29bo184b2o112b2o63bo55bobo16bobo$180b2o206b2o69bobobobo59bo
16bo$287b2o112b2o56b2o4bo$173b2o3b2o207b2o$173bo112b2o112b2o$174bob2o
208b2o10bo$285b2o97bo11bobo3bo$173b3o206bobo3bo$284b2o108b2o6b2o25b2o 17b2o$380b2o6b2o39bo19bo$283b2o64bo44bo6bo28bobo3bo5bo3bobo$347bobo31b
o8bobo43bobobobo$104bo177b2o28bo7bo24bo5bo40bo7b2o30bobo9bobo$104bobo
203bobo5bobo22bobo36b2o55bo$100bobo178b2o31bobo5bo28b2o46bo31b3obobo3b obob3o83bo$100bo6b2o199b2o6bo24b2o40bo53bo3bo89bobo$98bo181b2o40b2o29b obo42b2o129bo$107bo201bo3bo28bo3bo8bo28b2o142bo5b2o$97b2o180b2o32bobo 8bo21bobo8bo42bobo125bo7bo$105b2o167b2o34b2o31b2o40bo16bo123bo$99bobo 172bobob2o36b2o6b2o23b2o6b2o45bobo130b2o$101bo3bo43bo159b2o31b2o42b2o
18bo118b2o$103bo43bobo126bo3bo36bo3bobo26bo3bobo51bo128bo$104bo46bo
129bo26b2o11bo19b2o11bo32bo139bo7bo$102bo3bo38b2o129bobob2o36b2o31b2o 36bo11bo6b2o118b2o5bo$106bobo42b2o123b2o29b2o31b2o47bobo9bobo130bo$101b2o42bo171b2o31b2o47bo5bobo22b2o3bo5bo3b2o83bobo$109b2o42bobo150b2o
31b2o51b2o11bo24bo4bobobobo4bo85bo$100bo42b2o10bo160b2o31b2o47b2o31bob o9bobo$109bo47bo147b2o31b2o53bo44bo55bo$99b2o6bo36bo170b2o31b2o45bobo 32b3obobo3bobob3o47bobo$105bobo38bo7bobob2o144b2o31b2o56bo40bo3bo49bob
o$101bobo42bobo5bo159b2o31b2o141bo6b2o$103bo20b2o24bobo7b2o141b2o31b2o
150bo$123bobo24bo162b2o31b2o149bo$121bo40b2o138b2o31b2o150b2o$119bobo 2bo187b2o31b2o148b2o$164b2o135b2o31b2o153bo$117b2o4b2o186b2o31b2o150bo$166b2o55b2o4bo70b2o31b2o154b2o$117bo4bo100bobobobo80b2o31b2o152b2o$
168b2o61bo67b2o31b2o154bo$115b2o4b2o17b2o81bo2bo82b2o31b2o153bo$137bob
obo28b2o52bo3bobob2o64b2o31b2o154b2o$115bo2bobo14bobo86bo3bo79b2o31b2o 152b2o$118bo14bo5b2o31b2o60b2o61b2o31b2o157bo$114bobo14bobo173b2o31b2o 154bo$113bo25bo34b2o60b2o58b2o31b2o158b2o$113b2o14b2o6bo168b2o31b2o 156b2o$135bobo38b2o60b2o55b2o31b2o158bo$130bo2bo159bo11b2o19bo11b2o 157bo$128bo2bobo44b2o60b2o49bobo3bo26bobo3bo156b2o6bo$128b2o174b2o31b 2o154bobo$154b2obo22b2o60b2o45b2o6b2o23b2o6b2o95bo25bo35bobo$154bo3b2o 39bo103b2o31b2o33bo4b2o10b2o4bo30bobo25bobo35bo$155bo26b2o13bobo44b2o
44bo8bobo21bo8bobo36bobobobo10bobobobo34bo21bo$157bo43bo99bo3bo19bo8bo 3bo30bo26bo26b2o31b2o$155bo28b2o9b2o49b2o43b2o32bobo47bo14bo38b2o19b2o
$158b2o41b2o95bo6b2o31b2o28b2o26b2o25bo33bo$154b2o30b2o7bo52b2o42bo5bo
bo27b2o46b2o10b2o41bobo3bo5bo3bobo$158bo34bo9bo90bobo5bobo30bobo32bo 24bo25b2o10bo3bobobobo3bo10b2o$156bo31b2obobo56b2o42bo7bo26bo5bo41bo
10bo46bo9bo$157bo45b2o126bobo36b2o7bo6bo7b2o25bo18bo18bo$155bo34bo61b
2o77bo47bobo2bobo45bobobobo3bobobobo$158b2o32bo7bobo169bo20bo25b2o11bo 5bo3bo5bo11b2o70bo3bo$154b2o36bobo5bo53b2o126b2o46bo19bo81bobo2b2o$158bo37bobo173b2o6bo4bo6b2o26bo39bo71bobo$156bo39bo59b2o120bobo4bobo
34bo6b2o19b2o6bo77bo$158bo215bobo12bobo30bobo31bobo74bo$124b2o28b2o3bo
98b2o116bo12bo36bobo23bobo80bobo$121bobobo30bob2o266bo27bo76b2o2bobo$
121bo138b2o271bo3bo$121bo3bo141bo3bo$126bo135b2obobo3bo197bo$122b2o2bo 101bo40bo2bo38bo18bo138bobo29bo$128bo97bobo35bo46bobo14bobo136bo31bobo
$122bo107bo35bobobobo34bobo22bobo137b2o23bo5bo$128b2o94b2o5b2o33bo4b2o
34bo6b2o10b2o6bo131b2o27bobo$120b2o183bo30bo136bo29b2o$127bo97bo7bo81b
o10bo108bo23bo3bobo27b2o$121bo105bo6b2o68b2o11bo6bo11b2o97bobo19bobo3b o10b2o29bo$123bobobobo34bo62bo89bobo2bobo106bobo21bo5bo32bo$123bo38bob o63bo7bo69bo28bo95bo6b2o13bobo19bo29b2o15bo$129bobo34bo63bo6b2o81b2o
107bo21bo6bobobobo30b2o23bobo$130b2o28b2o68bo75b2o10bo4bo10b2o103bo9bo bo6bo5bo11b2o24bobo13bo5bo$166b2o63bo7bo76bobo4bobo102b2o11bo5bo6bobo
9bo29bo5bo13bobo$160bo72bo6b2o66bo24bo107bobobobo6bo21bo21bobo13bo9b2o$168bo64bo80b2o10b2o102bo19bobo13b2o6bo23bo13bobo$158b2o74bo7bo65b2o 22b2o110bo5bo21bobo46bobo$165bobob2o65bo77bo12bo102b2o10bo3bobo19bobo
39b2o9bo$159bo5bo70bo5b2o66bobo16bobo108bobo3bo23bo46bobo$161bobo7b2o
64bo74bo16bo23b2o77bo78bo5bo$161bo77bobo111bo84b2o73bobo$173b2o64bo
114bobobo73b2o79bo$358bo79bo$175b2o175b2o6bo73bobo58bo$436bo56bobo38bo$177b2o174bo6b2o129bo5bo34bobo$355bo133bobo44bo$179b2o174bobobo137b2o
31b2o$360bo126b2o47b2o$181b2o152b2o22b2o133bobo33bo$258bo23bo52bo152bo 5bo20bo12bo4bobo$183b2o73bobo19bobo53bobobo149bobo20bobo10bobo4bo$254b obo5bo5bo3bo5bo5bobo53bo2b2o145bo26bo13bo$185b2o67bo7bobobobo3bobobobo
7bo47b2o6bobo166b2o11b2o$252bo17bo17bo99b2o4bo3b2o117b2o11b2o$187b2o
76bo9bo58bo7bo45bobobobo4bo112bo12bo$251b2o10bo3bobobobo3bo10b2o106bob o22b2o91bobo10bobo$189b2o70bobo3bo5bo3bobo52bobo6b2o47bo26b2o3bo91bo
12bo$253bo33bo44b2o2bo61bo18bobobo$191b2o66b2o19b2o54bobobo47b2o$253b 2o31b2o53bo56b2o19bobobo$193b2o64bo21bo58b2o47bo28bo3b2o$255bobo25bobo 81b2o28bo20b2o$195b2o60bo25bo79b2obobo20bobo105bo$208bo154bo24bo4bobob obo95bobo$197b2o7bobo155bo3bo19b2o3bo4b2o99bo$204bo5bo108b2o2b2o168b2o$199b2obobo114bo2bobo37b2o4b2o63b2o13b2o10b2o37b2o$210b2o108bo100b2o 11bo13bobo10bo31bo$201bo122bo38bo3bo53bobo7bobo24bobo30bo6bo$209bo108b 2o48bo81bobo14b2o2b2o16bobo24bo$202b2o120b2o37bobob2o54bobo3bobo24bobo
8bobo2bo24b2o15bobo$208b2o109bo43b2o87bobo16bo15b2o23bo5bo$203bo62bo
14bo39bobo101bobobo26bo11bo25bobo13bobo$205bobo58bobo10bobo39bo131bo 13bo2bobo15bo5bo23b2o$205bo56bobo5bo6bo5bobo141bobobo23bobo9b2o2b2o17b
obo15b2o$262bo7bobo2bobo7bo165bobo36bo26bo$260bo26bo137bobo3bobo23bobo
48bo$243bo29b2o174bobo64b2o$229b2o8bo3bo15b2o10bo4bo10b2o134bobo7bobo
12bo10bobo44b2o$229bobobobobobobo2bo24bobo4bobo143bo11b2o12b2o10b2o51b obo$234bo4bo21bo24bo135b2o83bo5bo$229bo2bobobobobobobo22b2o10b2o228bob o$230bo3bo8b2o16b2o22b2o222bo$230bo36bo12bo$263bobo16bobo$265bo16bo13$
542bo$542bobo$540bo4bo$464b2o74b6o$464bobo$454b2o86b2o$454bobo9bobo73b
2o2$456bobo9bobo$379bo77b2o$374bo3bobo3bo85bobo$373bobobobobobobo$373b obobobobobobo86bobo$371b3obobo3bobob3o85b2o$370bo4bo7bo4bo$371b3o11b3o
$374bo9bo$371b2o13b2o$370bo2bo11bo2bo$369bobo15bobo$370bo2bo11bo2bo$
371b2o13b2o$374bo9bo$371b3o11b3o$370bo4bo7bo4bo$371b3obobo3bobob3o$373bobobobobobobo$373bobobobobobobo$374bo3bobo3bo$379bo16$377bobo$375b
o2bo2bo149b2o$373bo2bobobo2bo146bo2bo$374bobobobobo148b3o$372b2o2bobob o2b2o$374b2obobob2o148b3o3bo$371b3o3bobo3b3o141b2obo3bobobo$374b3o3b3o
143bobobo3bobobo$370b4o9b4o139bobobo3bob2o$374b3o3b3o144bo3b3o$371b3o 3bobo3b3o$374b2obobob2o148b3o$372b2o2bobobo2b2o146bo2bo$374bobobobobo
149b2o$373bo2bobobo2bo$375bo2bo2bo$377bobo$546b2o3b2o$546bo2bo2bo$547b
5o2$542b2o3b5o3b2o$477bo64bobobobo3bobobo$477bobo64bob2o4bobo$476bobo
64b2obo5bob2o$478bo65bobo4b2obo$542bobobo3bobobobo$542b2o3b5o3b2o2$
484b2o9b3o49b5o$484bo9b3o49bo2bo2bo$487bo58b2o3b2o$486b2o$378bobo$376b o2bo2bo120b3o$374bo2bobobo2bo$372bo2bobobobobo2bo$373bobobobobobobo$371b2o2bobobobobo2b2o$373b2o3bobo3b2o$370b3o6bo6b3o$373b2o9b2o132b2o4b
2o$369b4o2bo7bo2b4o128bobo2bobo$373b2o9b2o134bo2bo$370b3o6bo6b3o131bo 2bo$373b2o3bobo3b2o135b2o$371b2o2bobobobobo2b2o$373bobobobobobobo$372b o2bobobobobo2bo$374bo2bobobo2bo$376bo2bo2bo$378bobo18$379bo$377bobo$373bobo5bobobo$371b2o2bo6bo2bo$373b2o8b2o2bo$370b3o12b2o$373b2o8b2o3bo$369b4o2bo6bo2b3o$373b2o8b2o3bo$370b3o12b2o$373b2o8b2o2bo$371b2o2bo6bo
2bo$373bobo5bobobo$377bobo$379bo30$374bo$372b2o12bo$374b2o8b2o$371b3o 12b2o$374b3o6b3o$370b4o12b3o$374b4o6b2o$371b3o12b2o$374b3o8bo$372b2o$
374b2o$373bo!  Most of the P2 mechanisms can be found in jslife: Code: Select all x = 995, y = 273, rule = B3/S23 339b2o4b2o$338bo2bo3b2o86b2o2b2o8b2o8b2o$338bo2bo91bo2bo2bob2o3bo2bob 2o3bo2bob2o4b2o$335b2ob4ob6o85bob2obobo2bo2bobobo2bo2bobobo2bobo2bo$335bobo4bo6bo35bob2o4bob2o4bob2o28b2o2bobo3b2ob2obo3b2ob2obo3b2ob2obo$
337bo2bo2bo2bo2bo35b2obo4b2obo4b2obo27bo2bo4bo4bo4bo4bo4bo4bo3b2o$337b 3ob2o2b3ob2o81b2o2b3obob2o2b3obob2o2b3obob2o2b3o2bo$335b2o2b2o2b3ob2o
2bo33b3o5b3o5b3o30b2o2bob2ob3o2bob2ob3o2bob2ob3o2bobo2bo20bo4bo4bo4bo
4bo4bo$334bo3bo3bo3bo3bobo31bo2bo4bo2bo4bo2bo28b2ob2o2bobobob2o2bobobo b2o2bobobob2o3bob2o18bobo2bobo2bobo2bobo2bobo2bobo$329b2o2bobo3bo3bo3b
o3bobo30bo7bo7bo31bo37bo20bo4bo4bo4bo4bo4bo4bo44bobo$306b2obo19bo3b3ob 3ob3ob3ob2o2b3o30bo7bo7bo30b2obobobobobobobobobobobobobobobobobobo21b 4ob4ob4ob4ob4ob4obobo38bobob2o$306bob2o20b3o2b2ob3ob3ob3ob3o3bo25b2o6b
2o6b2o34bob34o19b2obo2bobo2bobo2bobo2bobo2bobo2bobob3o33bobob2o$310b2o 15b3o4bo3bo3bo3bo3bo3bobo16b2o11b2o6b2o6b2o28bo2bobobobobobobobobobobo bobobobobobo24bob2obob2obob2obob2obob2obob2obo4bo29bobob2o4b4o$310bo
15bo2bobo3bo3bo3bo3bo3bo2bobob2o13bo2b2o3bo2bo4bo2bo4bo2bo4bo26b2obo
33b3o18bob3o2b3o2b3o2b3o2b3o2b3o2b5o27bobob2o4b4o3bo$311bo14bo2bobob3o b3ob3ob3ob3o2bobob2o14bobo2bobo2bo4bo2bo4bo2bo4bo28bobobobobobobobobob obobobobobobobobo3bo18bo31bo27bobob2o4b4o3b4o$310b2o15b3o2bo2b2ob3ob3o
b3obobo3bo16b2obo9b2o6b2o6b2o3b2o25bob33obo2bo18b4ob4ob4ob4ob4ob4ob2o
24bobob2o4b4o3b4o$306b2obo20bobobo3bo3bo3bo3bobobobo20b2o3b2o6b2o6b2o 9bob2o19b2obobobobobobobobobobobobobobobobobob3obo15b2obo2bobo2bobo2bo bo2bobo2bobo2bobob3o18bobob2o4b4o3b4o4b4o$306bob2o19bobobobo3bo3bo3bo
3bobobo24bo4bo2bo4bo2bo4bo2bobo2bobo20bo2bo36bo19bob2obob2obob2obob2ob
ob2obob2obo4bo14bobob2o4b4o3b4o4b4o3bo$304b2o23bo3bobob3ob3ob3ob2o2bo 2b3o21bo4bo2bo4bo2bo4bo2bo3b2o2bo20bo2bobobobobobobobobobobobobobobobo bobo19bob3o2b3o2b3o2b3o2b3o2b3o2b5o14bob2o4b4o3b4o4b4o3b4o$304bo21b2ob
obo2b3ob3ob3ob3ob3obobo2bo22b2o6b2o6b2o11b2o21b2ob32ob2o19bo31bo13bob
3o4b4o3b4o4b4o3b4o$305bo20b2obobo2bo3bo3bo3bo3bo3bobo2bo13b2o11b2o6b2o 6b2o31bobobobobobobobobobobobobobobobobobo22b4ob4ob4ob4ob4ob4ob2o13b2o 4b4o3b4o4b4o3b4o4b4o$304b2o23bobo3bo3bo3bo3bo3bo4b3o14bo2b2o3bo2bo4bo
2bo4bo2bo4bo28bo35b2o17b2obo2bobo2bobo2bobo2bobo2bobo2bobob3o13b4o3b4o
4b4o3b4o4b4o3bo$306b2obo19bo3b3ob3ob3ob3ob2o2b3o18bobo2bobo2bo4bo2bo4b o2bo4bo27bob2obobobobobobobobobobobobobobobobobo21bob2obob2obob2obob2o bob2obob2obo4bo9b4o3b4o4b4o3b4o4b4o3b4o$306bob2o20b3o2b2ob3ob3ob3ob3o
3bo16b2obo9b2o6b2o6b2o3b2o25bo2b32o2bo18bob3o2b3o2b3o2b3o2b3o2b3o2b5o
10bo3b4o4b4o3b4o4b4o3b4o$327b3o4bo3bo3bo3bo3bo3bobo20b2o3b2o6b2o6b2o9b ob2o22bobobobobobobobobobobobobobobobobob2obo18bo31bo14b4o4b4o3b4o4b4o 3b4o4b4o$326bo2bobo3bo3bo3bo3bo3bo2bobob2o20bo4bo2bo4bo2bo4bo2bobo2bob
o22b2o35bo20b4ob4ob4ob4ob4ob4ob2o19b4o3b4o4b4o3b4o4b4o3bo$326bo2bobob 3ob3ob3ob3ob3o2bobob2o20bo4bo2bo4bo2bo4bo2bo3b2o2bo23bobobobobobobobob obobobobobobobobobo18b2obo2bobo2bobo2bobo2bobo2bobo2bobob3o13b4o3b4o4b 4o3b4o4b4o3b4o$327b3o2bo2b2ob3ob3ob3obobo3bo25b2o6b2o6b2o11b2o21b2ob
32ob2o20bob2obob2obob2obob2obob2obob2obo4bo12bo3b4o4b4o3b4o4b4o3b4o$330bobobo3bo3bo3bo3bobobobo16b2o11b2o6b2o6b2o31bobobobobobobobobobobob obobobobobobo20bob3o2b3o2b3o2b3o2b3o2b3o2b5o14b4o4b4o3b4o4b4o3b4o4b4o$
329bobobobo3bo3bo3bo3bobobo17bo2b2o3bo2bo4bo2bo4bo2bo4bo28bo35b2o19bo
31bo22b4o3b4o4b4o3b4o4b4o3bo$329bo3bobob3ob3ob3ob2o2bo2b3o15bobo2bobo 2bo4bo2bo4bo2bo4bo27bob2obobobobobobobobobobobobobobobobobo21b4ob4ob4o b4ob4ob4ob2o19b4o3b4o4b4o3b4o4b4o3b4o$326b2obobo2b3ob3ob3ob3ob3obobo2b
o13b2obo9b2o6b2o6b2o3b2o25bo2b32o2bo17b2obo2bobo2bobo2bobo2bobo2bobo2b
obob3o16bo3b4o4b4o3b4o4b4o3b4o168b2o17b2o$326b2obobo2bo3bo3bo3bo3bo3bo bo2bo17b2o3b2o6b2o6b2o9bob2o22bobobobobobobobobobobobobobobobobob2obo 19bob2obob2obob2obob2obob2obob2obo4bo16b4o4b4o3b4o4b4o3b4o4b4o69b2obo 17b2o69bo2bo18bo2bo$329bobo3bo3bo3bo3bo3bo4b3o21bo4bo2bo4bo2bo4bo2bobo
2bobo22b2o35bo18bob3o2b3o2b3o2b3o2b3o2b3o2b5o22b4o3b4o4b4o3b4o4b4o3bo
68bob2o16bo2bo11b2o2bo52b3o16b2obobo2bo$329bo3b3ob3ob3ob3ob2o2b3o24bo 4bo2bo4bo2bo4bo2bo3b2o2bo23bobobobobobobobobobobobobobobobobobo20bo31b o22b4o3b4o4b4o3b4o4b4o3b4o72b2o14bo2bo11bobobo26b2o46bobo2bo$330b3o2b
2ob3ob3ob3ob3o3bo25b2o6b2o6b2o11b2o21b2ob32ob2o20b4ob4ob4ob4ob4ob4ob2o
22bo3b4o4b4o3b4o4b4o3b4o75bo12b2obo2bob2o12bo6b2o2bo10bobobobo22b7o15b
obo3bo$332bobo3bo3bo3bo3bobo2b2o29b2o6b2o6b2o31bobobobobobobobobobobob obobobobobobo2bo16b2obo2bobo2bobo2bobo2bobo2bobo2bobob3o20b4o4b4o3b4o 4b4o3b4o4b2o73bo11b2ob4ob2o10bo8bobobo12bo26bo5bo17bo$333bobo3bo3bo3bo
3bo31bo7bo7bo33bo36bo2bo18bob2obob2obob2obob2obob2obob2obo2bobo24b4o3b
4o4b4o3b4o4b3obo72b2o14bo2bo13bo12bo8b2o4bo8b2obob2o12bo$2b2obo68b2o6b 3o23bo8bo11bo48bo31b2o122bo2b2ob3o2b2o2b2o34bo7bo7bo30bob3obobobobobob obobobobobobobobobobobob2o16bob3o2b3o2b3o2b3o2b3o2b3o2bobo2bo21b4o3b4o 4b4o3b4o4b2obo72b2obo13b2obo2bob2o12bo8bo12bo12bob2ob2o11b3o20b2o$2bob
2o45b2o9b2o11bo18b3o9bobo8bobo7bobo30bo15b3o16b2obo11bo124b2ob3o2b2ob
3o33bo2bo4bo2bo4bo2bo30bo2bob33obo19bo31b3ob2o20bo3b4o4b4o3b4o4b2obobo
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2o21bobob2obob3o6b3obobob3o3bo3bobo136b2obobo38b2o46bo2bo2b2o52b3o2bo$16b2ob3o10bo7b2o6bobo5bobo2bo7b5o8b2o3b2o9bo3b2o7bo2b2o3b2obo21bobobo 2bo17b2obobobo11b2o5bobob2o9bo18bobobobob4o94bo3b3obob2o4bo19bo4b2ob2o 24bo4bo4bo4bo4bo4bo4bo4bo19b2obo2bob2obo4bo2b2o2bo5bo4b2o20b2o3bob2obo b3o6b3obobob2o3bob2o133bo3bo2bo35b2o3bo46bo2bo2b2o51bo3b3o$15bo4b2obo
9bo14b2o2bobo5b2o19bo2b3o2bo6bob3o14b2o3bo25bo2bobo3b2o11bobobobob3o9b
o2b2o2bob2obo9bob2o6bo8bo3bobobo3bo93b3o3bo3bo2b2obobo15bobob2o2bo29bo
bo2bobo2bobo2bobo2bobo2bobo2bobo25b2obo2bob2obo4bo2b2o2bo2b2o2bo24b2o
3bob2obob3o6b3obob2obo136b4obobobo33bobobo49bob2o52bob3o$15b2o2bo2b2o 11bobobo16bo14bo10bo5bo8bob2o2b2o7bobob2obobo23bobo5bo2bo11bobobo6bo9b obobo17bo2bo3b3o5b2obo3bo3bo2bo97b2o3bo2b3o2b2ob15ob2o2b3o2b2o26bo4bo 4bo4bo4bo4bo4bo32b2obo2bob2obo4bo2b3ob2o21b3o5b2o3bob2obob3o6b2obobo 141b2obobo88bob2o50bo5b2o$18bobo14bo2bo14bo16bobo10b5o9bo4bo9b2o6b2o
32b2o11b2obo5b4o8b2obo5b3o13bobobo8bo2b3o9b3o93bo2bob3o3b2ob21ob2o3b2o
bob2o90b2obo2bob2obo3bo24bo3b4o5b2o3bob2obob3o3bo3b2o137bo3bo2bo35bobo
bobo45bobo51b2ob2obob2o$19bo16b2o14bo2bobo13bo13bo57b2o8bo2b3o7bo20bo 11bo11bo6bo8b2o9b3o2bo93bob2obo4bo27bo4b2ob2o95b2obo2bob2o25b2o2bo3b4o 5b2o3bob2obob2o3bo139b4obobobo34bo3bo46b2o3bo49bobo2b2o109bo$52b2o2b2o
84bo12bo3bo5bob2o8b3o8b2o8bo11bo5bobo10b2o10b2o95b2ob2ob2obobo23bobob
2o2bo103b2obo33bo4b4o5b2o3bob2ob2obo144b2obobo34b2obob2o47b2o48bo2bo2b
ob2o107bobo$140b3obo9bob3o7bo13bo28bobo5bo9b2o10b2o102b2o2b2ob23ob2o2b 3o2b2o105bo31b2o2bo4b4o5b2o3bobobobo139bo3bo2bo37bobo48b2ob2o46bobob3o 108bo4bo$139bo3bo12bo10b3o8b2obo8bo8b2o8bo6bo9bo2b3o9b2o95b2o2bob2ob
29ob2o3b2obob2o100b2o35b2o2bo4b4o5b3o3b2o139b4obobobo35bobobo45bobo48b
2ob2obo3bo106b5o$140b3o2bo8b2o24bo8bo11bo8bobobo11b3o9b3o2bo94bo2bobo 35bo4b2ob2o141b2o2bo4b4o153b2obobo35bobo46b2o3bo54b2o105bo$82b2o59b2o
22b4o5bob2o9b3o5bob2o6b3o3bo2bo12bo2bo3bo3bob2o96b2obobo31bobob2o2bo
148b2o2bo4b2o148bo3bo2bo38bob2o47b2o52b2ob2o50bo55b2o$81bobo25bo10bo 21bo2bo5bobo13bo6bobobo16bobobo7bo6b2obo10bo3bobobo3bo103bob31ob2o2b3o 2b2o149b2o2bo2bo147b4obobobo35bobo48b2ob2o51b2o52bo54bobo$57b2o6b2o16b
ob3o7bo12bobo8bobo20b2o3bobo2bo15b3obobobobo9bob2obo2b2o2bo16bo11b4obo
bobobo102b2ob34ob2o3b2obo153b2o153b2obobo34bobobo45bobo54bo3bo47bo2bo$57bobo4bobo13b2obo2b3o4bobo11bo2bo8b2obo24bo2bobobo15bobobob2o10b2obob o5b2o16b2o14bobobobo98bob2obobo37bo3bobo305bo3bo2bo36bobo46b2o3bo54b2o 105bo2b2o$18bobo13b2ob2o2b2ob2o37bo13bo8bo4b2ob2ob2o2bobo24b2obob2o16b
obo18bo38bobobobo100b2obobo37bobob3o2b2o303b4obobobo36bob2o47b2o52b2ob
2o46b2o2b2o51bo2bobo$16b3ob3o11b2obo4bob2o8b2o3bob2obo3b2o12bo9b6o9b2o 4b2o3bo2b2o26bobo20bo58b2o3b2o107b36ob2o2bo5bo46b2o259b2obobo34bobo48b 2ob2o51b2o105b2o$15bo3bo3bo14bo2bo12bobobo6bobobo14bo5bo18bo2b2o3bob2o
28bobo191bo3b35o2bob2ob4o45bo2bo2b2o251bo3bo2bo35bobobo45bobo54bo3bo
47bo2bo55bo2b2o$15b2o2bob3o10b3o6b3o13b2o2b2o20bo4bo3b2o13bobo2b3obobo 29bo231b2obobob2obob2o43b2o4bo2b2o247b4obobobo34bobo46b2o3bo54b2o46bo 58bo2bobo$13b2o2b3o4b2o8bo4b2o4bo10bo10bo17bo3bo6bo13b2o3bobo224bobobo
38bobo5bobo45b4o4bo2b2o248b2obobo35bob2o47b2o52b2ob2o45b2obobobo51b2o$14bo2b2o3bobo12bo4bo15bo6bo14b2o5bo5bo15b2obo3b2o2bo217b2obo3bob35ob2o bo3b3o39b2o3b3obo3b4o4bo2b2o241bo3bo2bo35bobo48b2ob2o51b2o54bo55bo2b2o$14bobo3b2o2bo12bo4bo15bo6bo16bo5bo5b2o13bo2b2o3bob2o217bob2obob38o2b
3obo42bobobo3b4obo3b4o4bo2b2o237b4obobobo33bobobo45bobo54bo3bo49bo2bo
53bo2bobo$13b2o4b3o2b2o8bo4b2o4bo10bo10bo11bo6bo3bo21bobo3b2o222bobo 40bobobob2o41bobo3bo3b4obo3b4o4bo31b2o209b2obobo33bobo46b2o3bo54b2o48b o57b2o$15b3obo2b2o10b3o6b3o13b2o2b2o15b2o3bo4bo18bobob3o2bobo221bobo
40bobobob2o41b3o3bo3bo3b4obo3b4o3bo2b2o23bo7b2o199bo3bo2bo36bob2o47b2o
52b2ob2o47b2obobobo54bo2b2o$15bo3bo3bo14bo2bo12bobobo6bobobo15bo5bo17b 2obo3b2o2bo217bob2obob38o2b3obo42b2o2b5o3bo3bo3b4obo3b4o3bo26bo3bo7b2o 192b4obobobo33bobo48b2ob2o51b2o56bo53bo2bobo$16b3ob3o11b2obo4bob2o8b2o
3bob2obo3b2o8b6o9bo13b2o2bo3b2o4b2o215b2obo3bob35ob2obo3b3o40bobo3b6o
3bo3bo3b4obo3b3o22b4obo6bo3bo7b2o190b2obobo32bobobo45bobo54bo3bo51bo2b
o52b2o$18bobo13b2ob2o2b2ob2o32bo13bo13bobo2b2ob2ob2o4bo218bobobo38bobo 5bobo37bobo3bo3b6o3bo3bo3b4obo22bo6bob4obo6bo3bo7b2o180bo3bo2bo34bobo 46b2o3bo54b2o50bo60bo2b2o$57bobo4bobo13bobo4b3o2bob2o11bob2o8bo2bo259b
2obobob2obob2o34b2ob3o3bo3bo3b6o3bo3bo3b4o20bo2bo3bo6bob4obo6bo3bo7b2o
173b4obobobo34bob2o47b2o52b2ob2o49b2obobobo52bo2bobo$57b2o6b2o13bo7b3o bo15bobo8bobo221bo3b35o2bob2ob4o37bobo2b5o3bo3bo3b6o3bo3bo3bo20bobo6bo 3bo6bob4obo6bo3bo179b2o2bobo32bobo48b2ob2o51b2o58bo52b2o$92bobo14bo10b
o73b2o3b2o5b2o137b36ob2o2bo5bo39bobo3b6o3bo3bo3b6o3bo3bo2bo19bob4obo6b
o3bo6bob4obo6bo174bo3bobobo32bobobo45bobo54bo3bo53bo2bo55bo2b2o$92b2o 86b2ob2o9bo4bobo3bobo130b2obobo37bobob3o2b2o40bobo3bo3b6o3bo3bo3b6o3bo bobo18bo6bob4obo6bo3bo6bob4obo174b2ob2ob2o34bobo46b2o3bo54b2o52bo58bo 2bobo$143bo3b2o15bo14bobobobo9b3obo2bo2bo14bob2o114bob2obobo37bo3bobo
39b2ob3o3bo3bo3b6o3bo3bo3b5o2bobo21bo3bo6bob4obo6bo3bo6bobo216bob2o47b
2o52b2ob2o51b2obobobo51b2o$139b2obobobo2bo14b3o12bobo3b3o9bo2bo3b2o12b 3obobo118b2ob34ob2o3b2obo39bobo2b5o3bo3bo3b6o3bo3bo3b3obo17b4obo6bo3bo 6bob4obo6bo3bo2bo214bobo7b2o39b2ob2o51b2o60bo55bo2b2o$139bob2obob2obo
17bo10b2o2bobo3bo9bo4bo13bo4bo2bo118bob31ob2o2b3o2b2o42bobo3b6o3bo3bo
3b6o3bo3bobo17bo6bob4obo6bo3bo6bob4obo6bo214bobobo6bo38bobo54bo3bo55bo
2bo53bo2bobo$144bo4b2o11b3o2bo9bo2bo5b3o7bo8b3o8bo2b2o2bobo114b2obobo 31bobob2o2bo45bobo3bo3b6o3bo3bo3b6o3bobo17bo2bo3bo6bob4obo6bo3bo6bob4o 217bobo2bobobo39b2o3bo54b2o54bo57b2o$18b2o6b2o112b2ob2o2b2o2bo9bo3b3ob
o7b2o6bo9bo8bo2bo8bob2o3bob2o111bo2bobo35bo4b2ob2o39b2ob3o3bo3bo3b6o3b
o3bo3b5o2bobo16bobo6bo3bo6bob4obo6bo3bo224bobo48b2o52b2ob2o53b2obobobo
54bo2b2o$14b2o2bo4bo3bo2b2o21bobo84bo2b2o2b2ob2o9bo2b2o2bobo9bo6b2o5bo 2bo8bo7b2obo3b2o2bo112b2o2bob2ob29ob2o3b2obob2o39bobo2b5o3bo3bo3b6o3bo 3bo3b3ob2o18bob4obo6bo3bo6bob4obo6bo221bobobob3o41b2ob2o51b2o62bo53bo 2bobo$14bobobo2b2o2bobobobo19bo2bo2bo83b2o4bo10b2obo2bobobo2bo5b3o5bo
2bo5b3o8bo9bo3b3o3bo117b2o2b2ob23ob2o2b3o2b2o45bobo3b6o3bo3bo3b6o3bo3b
obo21bo6bob4obo6bo3bo6bob4obo220b2ob2o45bobo54bo3bo57bo2bo52b2o$16bobo b3o2bobobo19bo2bobobo2bo22b2o58bob2obob2obo5bo2bobo2b2o2b2o5bo3bobo2b 2o10bo4bo9bo2bo2bo2b3o113b2ob2ob2obobo23bobob2o2bo48bobo3bo3b6o3bo3bo 3b6o3bobo24bo3bo6bob4obo6bo3bo6bobo268b2o3bo54b2o56bo60bo2b2o$15b2obo
2b2o2bobob2o16bo2bobobobobo2bo20bo7b2o4b2o6b2o14b2o20bo2bobobob2o7b2ob
obo12b3o3bobo9b2o3bo2bo8b2obobo3bo114bob2obo4bo27bo4b2ob2o42b2ob3o3bo
3bo3b6o3bo3bo3b5o2bobo17b4obo6bo3bo6bob4obo6bo3bo2bo271b2o3b2o47b2ob2o
55b2obobobo52bo2bobo$18bo4bo3bo20bobo2bo2bobobo2bo19bobo3bobo4bo6bobo 13bo2bo20b2o3bo15b2o14bobobobo9bo2bo2bob3o9bo120bo2bob3o3b2ob21ob2o3b 2obob2o42bobo2b5o3bo3bo3b6o3bo3bo3b3ob2o15bo6bob4obo6bo3bo6bob4obo6bo 270b2ob2o2bo48b2o64bo52b2o$18b2o6b2o18b3obo5b2o2bobo34bobo18bo2bobo57b
2ob2o8bobo3bobo4bo8b2o120b2o3bo2b3o2b2ob15ob2o2b3o2b2o48bobo3b6o3bo3bo
3b6o3bo3bobo18bo2bo3bo6bob4obo6bo3bo6bob4o272b2o5bob2o45bo3bob2ob2o53b
o2bo55bo2b2o$49bo10bob3o20bobobo11bobo13bo3b2obo69b2o5b2o3b2o127b3o3bo 3bo2b2obobo15bobob2o2bo51bobo3bo3b6o3bo3bo3b6o3bobo19bobo6bo3bo6bob4ob o6bo3bo276bo4b2obob2o48b3obobo53bo58bo2bobo$45b4o12bo37bo17bob2o2bobo
209bo3b3obob2o4bo19bo4b2ob2o45b2ob3o3bo3bo3b6o3bo3bo3b5o2bobo19bob4obo
6bo3bo6bob4obo6bo274b3ob3o49b2obo2bo2bo53b2obobobo51b2o$62b4o17bobobo 14bo15bobo2b2obo209b3obob2obob2o3b2ob13ob2o3b2obob2o45bobo2b5o3bo3bo3b 6o3bo3bo3b3ob2o19bo6bob4obo6bo3bo6bob4obo277bo54b2o2bobo61bo55bo$44b3o
51bobo18bob2o3bo211bo7b2o2b3o2b2ob7ob2o2b3o2b2o51bobo3b6o3bo3bo3b6o3bo
3bobo25bo3bo6bob4obo6bo3bo6bobo274b2o52b2obob2ob2o58bo2bo53bo$47bo16b 3o14bobo3bobo12bobo15bobo2bo213b2o8bo2b2obobo7bobob2o2bo54bobo3bo3b6o 3bo3bo3b6o3bobo20b4obo6bo3bo6bob4obo6bo3bo2bo271bo2bobo50b2o5bo59bo57b 3o$43b4o16bo17b2o7bo5bobo6bo15bo2bo212bob2ob2o2b2ob2o4bo11bo4b2ob2o49b
ob3o3bo3bo3b6o3bo3bo3b5o2bobo16bo6bob4obo6bo3bo6bob4obo6bo271b2o2b2o
53b3obo59b2obobobo$64b4o21b2o5b2o6b2o16b2o50b2o160bobobo2bo2b2obob2o3b 2ob5ob2o3b2obob2o48bobo2b5o3bo3bo3b6o3bo3bo3b3ob2o16bo2bo3bo6bob4obo6b o3bo6bob4o329b3o3bo67bobo46b6o$42b3o130bo34b2o123bo2bo2bo8b2o2b3o2b2ob
2o2b3o2b2o52bobobo3b6o3bo3bo3b6o3bo3bobo20bobo6bo3bo6bob4obo6bo3bo334b
o2b3o66bo5bo44bo$45bo20b3o71b2o12b2o18bo3bo31bo124bobo3bobo9bo2b2obo3b ob2o2bo56bo2bo3bo3b6o3bo3bo3b6o3bobo22bob4obo6bo3bo6bob4obo6bo334bo67b o6bo46bobo$41b4o20bo74bo2b2o9bobo16bob4o12b2ob2o15bo122b2ob2o3b2o6b2ob
o5bobobo5bob2o56bo3bo3bo3b6o3bo3bo3b5o2bobo20bo6bob4obo6bo3bo6bob4obo
402b2obobobo46bo$65b5o71bobo12bo2b2ob2o9bo16bobobobo11b3obo137bobob3o 3bobo3b3obobo57b4o3bo3bo3b6o3bo3bo3b3ob2o23bo3bo6bob4obo6bo3bo6bobo 405bo$40b5o95b2obo11b2obobobobo5b2obo2bo3b2o7bo3bo3bo9bo4bo139bo2bo2bo
bobobo2bo2bo61bob4o3bo3bo3b6o3bo3bobo21b4obo6bo3bo6bob4obo6bo3bo2bo$44bo20b4o70bo3b4o7bo3b2o2bobo5bo2bob2o3bo8b2ob5obo8bo2bob2o138b2o3b2ob obob2o3b2o59b3o3bob4o3bo3bo3b6o3bobo19bo6bob4obo6bo3bo6bob4obo6bo$41b
3o20bo58b2o14bo4bobo7bo4b3obo8bo3b3obo12bobo2bo5b2obob3o2bo146bo67bo3b
4o3bob4o3bo3bo3b5o2b2o18bo2bo3bo6bob4obo6bo3bo6bob4o$65b3o17bob2o6bo3b o7b2ob2o10bo2bo14b5obobo6b4o2bo11b3obo2bob2o5b2o6bo6bobo3bob2o215b2o2b o3b4o3bob4o3bo3bo3b3o21bobo6bo3bo6bob4obo6bo3bo$42b4o39b2obo5bobobobo
6b2obobo9bobo20bob2o12bo13bo5bobo5bo2bob3o10b3obo224bo4b4o3bob4o3bo3bo
bo23bob4obo6bo3bo6bob4obo6bo$46bo16b4o16b2o10b2obo2bo11bo6b2ob2o2bo14b 2obo9b6o14bob4o10b2obo14bobo224b2o2bo4b4o3bob4o3bobobo21bo6bob4obo6bo 3bo6bob4obo$43b3o16bo19bo3b2o11b2o6b2obo3bo4bo2bo2b2obo13bob2o9bo2bo
17bo33bo229b2o2bo4b4o3bob3o3b2o24bo3bo6bob4obo6bo3bo6bobo299b2obo$63b 3o16b2o3bo7b2o10bob3ob2o4bob2o2bo2bo49bo265b2o2bo4b4o31b2o7bo3bo6bob4o bo6bo3bo2bo298bob2o$44b4o37b2o7bo2bob2o7bobo9bo2b2ob2o49b2o269b2o2bo4b
2o36b2o7bo3bo6bob4obo6bo157bo144b2o$48bo12b4o16bob2o10bobobobo7bobob2o 8bobo326b2o2bo2bo42b2o7bo3bo6bob4o159b2o140b2obobo$45b3obo10bo20b2obo
11bo3bo9b2ob2o7bo2bo331b2o50b2o7bo3bo164b2o2b2o136bobobobo$47bobo2b2o 5bob3o59b2o391b2o7bo162bo3bo137b2o3bo$46bo2bobobo2bo2bobo461b2o164b3o
140bo3b2o$48bo2bobobobobo2bo95b2o14b2o12b2o15b2obo478bobo142bobobobo$
50bo2bobobo2bo80bo16b2o13bobo12bobo2bo12bob3o475bo2bo143bobobobo$52bo 2bo2bo82b3o29bo12b2o2b4o10bo2bo3bo474bo147b2o3bo$54bobo82b2o3bo11b6o9b
2ob4o9bobo14b2obo2b2o262bo213b4o88b2o2b2o50bo3b2o$140bo2bobo9bo3bo2bo 7bobo5bobo5bo2b2ob4o11b3o2b2o258bobo218bo86bo2bobo50bobobobo$140bob3ob
o7bo2b2o2bobo6bo3bo2bob2o6b2o7bobo9b2o2bo263bo213bo2bo87b2obo52bobobob
o$141bo2bo2bo6b2o2b3obo6b2o2b3obo11b3o3bob2o5bob2o2bobo257b2o218bobo 29bo59bob2o52b2o3bo$139bobobo4bo11bo9bob2obobo11bobobobo8b2o4bob2o262b
2o210bobo29bobo56b3ob2o55bo3b2o116bob2o$139b2o2bo2b2o9b2obo9bobo2b2o 13bob2obo11b3o176b2o83bo215bo2bo28bo4bo54bo2bo4bo52bobobobo113b2o3bo$
143bobo12bob2o7b2obobo16bo2bo9b2obo174b2obobo80bo4bo4bo208bo31b5o56bo
2bo2b2o53bobobobo116bo$144b2o12bo14b2o17b2o10bobo175bo50b2o31bobo4bo7b 2o206b4o31bo52b3o4bobob2o52b2o3bo44b3ob2ob2o4bo56bo4b2o$157b2o224bo3bo
3b2o36b2obobo35bo3bobobobobo44b3o164bo26b2o54bo7bob2o55bo3b2o47bobo3bo
bo57bo2bobo$392bo36bo34b2o59bo165bo2bo26bobo62bo4bo52bobobobo42bobobob obobobo56b2o$349b2o2b2o28bobobobobo38bo3bo35b2o4bo5bo37b2obobo3bo161bo
bo31bo61bo2b2o53bobobobo40bo4bo63bo2b2o2bo$349bobo2bo24b2o15b2o67bo19b 2o33bo11b2o155bobo33bobo60bobob2o52b2o3bo40b2o11bo55b2o$353bo25bobobo
5bobobobobo32bobobobo3b2o20bo4bo4bo3bobobobobobo34bo5bobobobo154bo2bo
34bo62bob2o55bo3b2o112bobobobo$214b2o130b2o2bo5b2o68b2o13bo18bobo4bo 220bo38bo62bo4bo52bobobobo50b2o65bo$146bo12bob2o30bo20bo131bobo3bobo2b
o23bobobobobo3bo3bo3b2o23bobobo5bobobo23bo3bobobobobo3bo5bo26b3o5bobob
obo5bo156b4o35bo61bo2b2o53bobobobo56bo53b2o2bo2bo$145bobo9b3obo17bo12b obo12b2o2b2obo135bo5bo45bo55b2o29b2o20bo24b2o157bo33bobo60bobob2o52b2o 3bo48b3obobobo55bo$145bobo8bo4bo17b2o11bobo12bo2bobob2o127b2o2bo5bo5b
2o15b2obobo3bo3bo3bobobobobo26bobobo5bobobo21b2o4bo5bo3bobobobobobo15b
2obobo3bo3bobo3bo5bobobobo154bo2bo34bo62bob2o55bo3b2o52bobo57bobobobo$144b2ob2o8b3ob4o10b2o2b2o10b2ob2o2bo9b2o7bo125bobo3bobo3bobo2bo15bo29b 2o39b2o10bo46bo185bobo36bo62bo4bo52bobobobo117bo$139bob2o2bo4bo8bo2b2o
11bo2b2obo8bo7b3o11bobob2o129bo5bo5bo17bo3bo3bobobobobo5bobobobobo15b
2obobo3bobobobo3bobobobo12bo4bo3bobobobobobo3bo5bo16bo5bobobobo5bobobo
bo5bo152bobo40bo61bo2b2o53bobobobo52bo57b2o2bo2bo$139b2obob2obob2o11bo 13bo4b3o7b3obo5bo6b2ob4o125b2o2bo5bo5bo5b2o59bo37bo78b2o147bo2bo40bobo 60bobob2o52b2o3bo112bo$145b3o11bo2bobo8b3o3b2o3bo8b4ob3o8bobo2bob2o
122bobo3bobo3bobo3bobo2bo13bobobobobo5bobobobobo3bo3bo16bo3bo5bo3bo5bo
3bo13bobobobobo3bo5bo3bobobobobo14bobobobo5bo3bobo3bo5bobobobo147bo44b
o62bob2o55bo3b2o50b2o60bobobobo$147bob2o8b2obob3o6bo6bo2bo12bobo10bob 4obobo125bo5bo5bo5bo10b2o33bo40bo43bo13b2o182b4o40bo62bo4bo52bobobobo 56bo60bo$143b2ob2obo12bo4bo12bobo12bobo12bo4bo2bo122bo5bo5bo5bo13bobob
o5bobobobobo3bo3bo3bobob2o15bobobobo3bobobobo3bobob2o14bo5bo3bobobobob
obo3bo4bo17bo5bobobobo5bobobobo5bo154bo40bo61bo2b2o53bobobobo47b3obobo
bo54b2o2bo2bo$141bo2bobo2bo12bob3o14bo13b2o15bo2bobo122bo2bobo3bobo3bo bo3bobo56b2o73bo48b2o147bo2bo40bobo60bobob2o52b2o3bo53bobo56bo$141b2o
4b2o14b2o46b2o3bo123b2o5bo5bo5bo2b2o11bobobobobo3bo3bo3bobobobobo16bob
obo5bobobo5bobobo19bobobobobobo3bo5bo4b2o20bobobobo5bo3bobo3bo5bobobob
o147bobo42bo62bob2o55bo3b2o112bobobobo$344bo5bo5bo107b2o29b2o14b2o178b obo45bo62bo4bo52bobobobo52bo64bo$343bo2bobo3bobo3bobo9b2obobo3bo3bo3bo
bobobobo5bobobo16bobobo5bobobo5bobobo21bo5bo3bobobobobo3bo24bo5bobobob
o5bobobobo5bo144bo2bo47bo61bo2b2o53bobob2o111b2o2bo2bo$343b2o5bo5bo2b 2o9bo33b2o39b2o40bo4bobo51bo143bo50bobo60bobob2o52b2o55b2o59bo$347bo5b
o17bo3bo3bobobobobo5bobobobobo15b2obobo3bobobobo3bobobobo25bobobobobob
o3bo4bo4bo22bobobobo5bo3bobo3bo3bobob2o145b4o46bo62bob2o55b2obo58bo55b
obobobo$346bo2bobo3bobo59bo50b2o19bo25b2o24bo155bo45bo62bo4bob2o49bob 2o50b3obobobo61bo$147b2o17bo179b2o5bo2b2o13bobobobobo5bobobobobo3bo3bo
16bo3bo5bo3bo5bo3bo29bo5bo4b2o34bo5bobobobo5b3o154bo2bo47bo61bo2b3obo
109bobo55b2o2bo2bo$147bo17bobo13b2o17b2o12b2o134bo20b2o29bo40bo45b2o 203bobo48bobo60bobo2bo170bo$144b2obo18bo11b2o2bo10b2o5bo12bobo133bo2bo
bo22bobobobobo3bo3bo3bobob2o15bobobobo3bobobobo3bobob2o28bobobobobo3bo
34bobobobo5bo160b3o51bo62bob2o113bo59bobobo2b2o$143bobob2o11b2o15bo2b 2o11bobob2obo12bo135b2o2b2o21bo41b2o52b2o7bo4bobo30b2o11bo158bo3bo51bo 3bo58bobobo176bo2bo$139bo2bobo5bo7bo2bo2b5o8bobo2b3o10bobobo11b2obo
161b2o3bo3bo3bobobobobo26bobobo5bobobo37bo4bo4bo36bo3bobob2o158b2o2b2o
52bobobo54bobo2b2o111b2o60bobob2o$139b4ob2obob2o7b2obobo5bo6b2ob2o4bo 8bo2bo9b2obo3b3o266bo43bo167b2o52bobo55bob2o122bo53bo4bo$145b3o11bo2b
2o3b3o5bo7bobo8bo2b2o9bobo2bo3bo163bobobobobo5bobobo26bobobo5bobobo36b
2o44b3o170bo51b2obob2o52bo117b3obobobo53b2o3bo$141b2o4bob4o6bo2bobobo 9b6obob2o9bob2o8bobo2b2o2bo163b2o15b2o25bo13b2o42b2o266bo54b2o123bobo 60bo$141bo2b4obo2bo7b3obo2bo10bobo2bo2bo7bobobo8b2o3bob2ob2o168bobobob
obo29b2o3bobobobo41bo272b2o237bobobo$142b2o4bo14bo2b2o12bobobo8bob2obo bo8b3o3bobo168bo93bobo450bo56b2o2bo$143bob3o14bo16b2ob2o9bo5b2o8bo2b3o
2bo168b2o3bo3bo36bo3bo43bo$143bobo16b2o28b2o18bo4b2o177bo40bo495b2o$
144bo246bobob2o35bobob2o500bobob3o$391b2o39b2o498b3obo2bo$937bobobobo$938bobo3bo$939bo3b2o2$357b2o$356bo2bo$356bob2o$350b2o2b2obo2b2o$350bo 2bo3bobo2bo95b2o$351bo3bo5bo88b2ob2o4bo3bo$347b2o6bo4bo89b2obobo3bob3o 10b2o2b2o$347bo2bobo10b2o88bo6bo12bobo2b2o$348bo5bobobobo2bo89bob2o5b 4o7bo$344b2o6bo8bobobo84b2obo7b2o2bo5b2ob6o$344bo2bobo6bo3b2o2bobo83bo 2b3o4bo3bo5bo3bo4bo$345bo5bobo8bobo2bo28b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o25b2o7bo9bo3bobobo$341b2o6bo5bobo2b2obobobo28bo2bobo2bo2bobo2bo2bobo 2bo2bobo27bo2bobo3bobobobo3bo3bo$341bo2bobo6bo5bo3bobob2o28bo7bo7bo7bo
31bo$342bo5bobo6bo3bo3bo2bo31bo7bo7bo7bo29b2o2bobobobo3bobobo7bo$338b
2o6bo5bobo6bo5bo4b2o18b2o2bobo5bobo5bobo5bobo5b2o48b3o$338bo2bobo6bo5b obo7bo4bo2bo17bobo5bobo5bobo5bobo5bobo2bo26bobobo3bobobobo2b2o2bo$339b
o5bobo6bo5bobo8bob2o21bo7bo7bo7bo7bo46bo2bo$343bo5bobo6bo5bobo2b2obo2b 2o16bo7bo7bo7bo7bo30bo3bobobobo3bobo2b2obo$337b2o8bo5bobo6bo5bo3bobo2b
o14bo2bobo5bobo5bobo5bobo5bobo22b2o22bob2o$336bo3bobobo6bo5bobo6bo3bo 5bo15b2o5bobo5bobo5bobo5bobo2b2o22bobobobobobo3bobobobobobo$336b2obo3b
o2bobo6bo5bobo6bo4bo21bo7bo7bo7bo27b2obo22b2o$337bobobob2o5bobo6bo5bob o10b2o20bo7bo7bo7bo25bob2o2bobo3bobobobo3bo$337bo2bobo5bo5bobo6bo5bobo
bobo2bo13b2o2bobo5bobo5bobo5bobo5b2o20bo2bo$338bobo2b2o7bo5bobo6bo8bob obo11bobo5bobo5bobo5bobo5bobo2bo21bo2b2o2bobobobo3bobobo7bo$339bobobob
obobo6bo5bobo6bo3b2o2bobo14bo7bo7bo7bo7bo19b3o27b3o$341bo9bobo6bo5bobo 8bobo2bo10bo7bo7bo7bo7bo22bo7bobobo3bobobobo2b2o2bo$340b2o3bo3bo5bobo
6bo5bobo2b2obobobo9bo2bobo5bobo5bobo5bobo5bobo45bo2bo$353bo5bobo6bo5bo 3bobob2o8b2o5bobo5bobo5bobo5bobo2b2o26bo3bobobobo3bobo2b2obo$343b2o3bo
bo6bo5bobo6bo3bo3bo2bo13bo7bo7bo7bo30b2o22bob2o$342bo3bo2bo2bobo6bo5bo bo6bo5bo17bo7bo7bo7bo27bobobobobobo3bobobobobobo$343b2o2bob2o5bobo6bo
5bobo7bo10b2o2bobo5bobo5bobo5bobo5b2o19b2obo22b2o$345b2obo5bo5bobo6bo 5bobo14bobo5bobo5bobo5bobo5bobo2bo20bob2o2bobo3bobobobo3bo$345bo2bo9bo
5bobo6bo5bobo14bo7bo7bo7bo7bo21bo2bo$346b2o4b2o8bo5bobo6bo2b2o11bo7bo 7bo7bo7bo25bo2b2o2bobobobo3bobobo$351bo3bobobo6bo5bobo17bo2bobo5bobo5b
obo5bobo5bobo18b3o$351b2obo3bo2bobo6bo5bobo13b2o5bobo5bobo5bobo5bobo2b 2o18bo7bobobo3bobobobo2b2o$352bobobob2o5bobo6bo2b2o18bo7bo7bo7bo53bo$352bo2bobo5bo5bobo28bo7bo7bo7bo27bo3bo3bobobobo3bobo2bo$353bobo2b2o7bo
5bobo16b2o2bobo5bobo5bobo5bobo5b2o20bobobo3bo9bo7b2o$354bobobobobobo6b o2b2o16bobo5bobo5bobo5bobo5bobo2bo19bo4bo3bo5bo3bo4b3o2bo$356bo9bobo
27bo7bo7bo7bo7bo20b6ob2o5bo2b2o7bob2o$355b2o3bo3bo5bobo20bo7bo7bo7bo7b o29bo7b4o5b2obo$368bo2b2o19bo2bobo5bobo5bobo5bobo5bobo19b2o2bobo12bo6b
o$358b2o3bobo26b2o5bobo5bobo5bobo5bobo2b2o19b2o2b2o10b3obo3bobob2o$
357bo3bo2bo2bobo27bo7bo7bo7bo43bo3bo4b2ob2o$358b2o2bob2o2b2o30bo7bo7bo 7bo44b2o$360b2obo32bobo2bo2bobo2bo2bobo2bo2bobo2bo$360bo2bo32b2o2b2o2b 2o2b2o2b2o2b2o2b2o2b2o$361b2o!

Any new P2s are definitely boring and there are way too many of them so that's why they are not mentioned anywhere.
(and all smaller ones are already found)

Code: Select all

x = 41, y = 33, rule = B3/S23
21bo2b2o$21bobobo$21bo$23bo$23bo$25bo$25bo3b2o$27bo2bo$27bobo2$13b2o 12bo$13bo$14bobo9b2o2$16bobo4bobo$23bo$18bob2o$16bo$14bo3bobo$12bo3bo 5bo$4bo5bo3bo5bobobob3o4bo$2bobo3bo3bo20bobo$6bo3bo7b2o6b2o3bo4bo$2o6b o8bo14b5o$7bo15bo3bo3bo$bo13b2o4b2o6bo3b2o$3bobobobo13b2o4bo4bo$3bo12b o5bo4bo6bob2o$9bobo6bo7bo8bo2bo$10b2o6bobo5bo11bo$22bobo12bo$22bo15b3o$40bo!


Posts: 3
Joined: April 29th, 2020, 1:00 pm

A for awesome wrote:
May 1st, 2020, 10:07 am
May 1st, 2020, 5:09 am
Hello everyone, I've been trying by getting into Life by messing around with some period two oscillators.
Does anyone with more experience know if the following are known?
It's nothing too impressive, but I'm just trying to warm up.

I couldn't find oscillators similar to this one.

Code: Select all

rle
The following one vaguely looks like the Lei, but isn't the exact same.
Can it be considered a variant?

Code: Select all

rle
This one looks like 14P2.1.

Code: Select all

rle
For future reference, are there any precise rules to what constitutes a variant?
Thanks.
These are pretty nice manual finds! I should note that all period 2 oscillators up to 21 bits are known, though (they were exhaustively enumerated by a computer search in the 1990s), and larger ones may not be considered important unless they have some special property like being naturally occurring, having some sort of unusual rotor configuration, acting as a catalyst, etc. For oscillators, there's no strict rule on what constitutes a variant, but for low-period oscillators, useful or interesting variants will generally have some interesting property that the original doesn't, like a lower population or bounding box, the ability for a glider or other pattern to pass closer to it on some side, or a reaction that works with the variant but not the original. (For higher-period oscillators the bar is lower — basically unless it's a stator variant, it will probably be worthwhile enough to post.)

Welcome to the forums!
Thanks for the information, A far awesome.
I'm going to continue messing around with p2's for now, but once I feel confident I'll start looking for some real stuff.

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

May 1st, 2020, 1:32 pm
I'm going to continue messing around with p2's for now, but once I feel confident I'll start looking for some real stuff.
Since you are new to Life, and people have been playing with it for around 50 years already, it's not likely that you will discover something that hasn't been found before, at least at first. For example, as has been pointed out, most period 2 oscillator mechanisms have been known for a long time, and I personally did an exhaustive computer search for all such oscillators with populations up to 21 back in the 1990s, and since then, others have also exhaustively searched periods 3s up to 21 as well, and higher periods have also been searched up to 21 by hand. Still-lifes are even more predictable; exhaustive computer searches of those have recently been completed up to population 34.

However, this should by no means discourage you from experimentation. It's perfectly fine to re-invent the wheel. I find myself doing this all the time (and sometimes re-invent thing that I found myself, but forgot that I did). You will probably end up learning a lot from the process of re-visiting for yourself areas that others have already explored. Just be aware that others have already probably been there before you, and that's OK. It's just a good idea to check the state of the art before posting something that you think is new, to see if it has been found before. The jslife collection is a good repository to begin with.

It's a good idea to understand how P2s work; it should give you a good basic understanding of how oscillators work, and how their parts interact (i.e. rotor and stators), and will provide a good basis for understanding oscillators of higher periods. Understanding how still-lifes work also provides a good basis for understanding oscillator stators. Above all, don't get discouraged; if you find some areas of Life too difficult or too boring, there are also many other areas to explore.

Jormungant
Posts: 178
Joined: May 27th, 2016, 1:01 am

Extrementhusiast wrote:
May 3rd, 2020, 3:56 pm
HL161H with new edgy SW glider output (shown here with an HF116H tacked on the end):

Code: Select all

x = 83, y = 71, rule = LifeHistory
31.2A$31.A.A$33.A4.2A$29.4A.2A2.A2.A$29.A2.A.A.A.A.2A$32.A.A.A.A$33.
2A.A.A$37.A2$23.2A$24.A7.2A$24.A.A5.2A$25.2A2$54.A$52.3A$51.A$51.2A2$
15.2A18.2A$16.A18.A23.2A$14.A21.3A21.A$14.5A14.3A2.A21.A.2A$19.A13.A
2.A15.2A4.3A2.A$16.3A12.A.A2.2A14.2A3.A3.2A$15.A15.2A24.4A$15.4A24.2A 15.A$13.2A3.A3.2A18.A.A12.3A$12.A2.3A4.2A18.A13.A$12.2A.A25.2A14.5A$15.A45.A$15.2A42.A$59.2A2$23.2A$24.A$21.3A$15.2A4.A38.2A7.2A$15.2A43.
2A7.A.A$67.A.A.3A$67.2A5.A$73.2A3$5.2A$4.A2.A$5.2A75.D$50.D29.3D$48.
3D29.D.D$2.2A44.D.D29.D$3.A44.D$3A$A$37.2A$38.A$10.2A25.A$10.2A25.2A
2$41.2A$7.2A32.2A3.A$6.A.A36.A.A$6.A14.2A23.A.A9.2A$5.2A14.2A25.A10.A$48.2A6.3A$21.3D32.A$13.2A7.C$13.A7.ADCD$14.A5.2A.2A$13.2A6.A2.A$21.A
3.A$21.A!  Sadly, its edginess is reduced by the three Snarks involved, which was the only way I could find to stabilize the NE. (Removing the snake+block+eater combo in the SW and the extra W block (below one of the Snarks) gives a slightly messier, but perhaps still manageable, result. Other early modifications could modify the reaction to where the block and eater are no longer relevant to the evolutionary sequence.) If it cant be an elementary conduit, at least is a edgy h-to-g. Code: Select all x = 35, y = 41, rule = LifeHistory 19.2A$14.2A.A2.A$14.2A.2A$17.B$14.2AB2AB3.2B$15.A.2AB2.4B5.2A$13.A5. 7B5.A$13.2A3.9B.BA.A$18.9B.B2A$18.11B$18.11B$12.B4.11B$11.3B3.10B$9.
6B2.12B$9.7B.13B$.A6.22B$2.2AD3.22B$3.AC.D.22B$4.DCD.2A21B$5A.D.2A21B
$3.A21.2B$25.6B$25.5B$25.4B.B.B$25.7B2A$25.7B2A$2.2A.A19.5B.2B$2.A.2A
19.3B$25.B$14.2C9.B$14.2C9.2B$25.2B$10.2A13.3B$11.A13.A3B2.B$8.3A13.A BA7B$8.A15.ABA7B$25.A9B$20.2A$19.A.A$19.A$18.2A!  dvgrn Moderator Posts: 6726 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for your unsure discoveries Jormungant wrote: May 4th, 2020, 6:12 pm If it cant be an elementary conduit, at least is a edgy h-to-g... Hey, not bad at all! This is actually a very nice color-changing edge-shooter / merge circuit, with a full 4hd clearance. I suspect this will start showing up in multi-glider shotguns, e.g., in future megaconverters by Goldtiger997: Code: Select all x = 60, y = 55, rule = LifeHistory 41.A$40.A.A$40.A.A$38.3A.2A$37.A4.B$38.3AB2AB3.2B$40.A.2AB2.4B5.2A$3.
BA39.7B5.A$2.3BA37.9B.BA.A$3.3AB36.9B.B2A$4.4B10.A24.11B$5.4B7.3A24.
11B$6.4B5.A21.B4.11B$7.4B4.2A19.3B3.10B$2A6.9B17.6B2.12B$.A7.6B13.4B
2.7B.13B$.A.2A5.6B3.B2.2B2.29B$2.A2.A4.45B$3.2AB3.46B$4.14B2A13B2A21B
$5.13B2A13B2A21B$6.51B$6.17B.B5.26B$7.15B10.B2.20B$7.15B12.20B.B.B$8.
13B12.24B2A$10.13B9.25B2A$9.8B4.2A.A2.2A.A24B.2B$9.6B6.2AB4A.2A.21B$
9.5B8.B10.18B$9.B.B9.2A.2A7.6B2A10B$10.3B9.A.A12.2B2A.10B$9.B2AB9.A.A 10.5B6.6B$10.2A11.A11.2A10.6B$36.A10.3BA3B2.B$33.3A11.2BABA7B$33.A13. 2BABA7B$47.3BA9B$45.2AB.11B$44.A.AB2.9B$44.A7.7B$43.2A7.6B$53.4B$52.
4B$51.4B$50.4B$49.4B$48.4B$47.4B$46.4B$45.4B$44.4B$43.4B$42.4B$41.4B! dvgrn Moderator Posts: 6726 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for your unsure discoveries gameoflifemaniac wrote: April 2nd, 2020, 10:43 am What about this? Is there hope to make a fast reflector out of this? Code: Select all x = 8, y = 12, rule = LifeHistory 5.A$5.A.A$5.2A6$4.2A$2C2.A.A$2C3.A.A$6.2A!  Or this? Code: Select all x = 10, y = 13, rule = LifeHistory 7.A$7.A.A$7.2A6$6.2C$2.2A2.2C$.A.A$A.A$2A!

?
You know, it does seem like there might be a little bit of hope for a Bellman rebuild of the second one of those sacrificial long ships, to get a fast color-changing reflector. Has anyone tried a Bellman run on this yet?

The first pattern only rebuilds its block by building a Herschel descendant which then dumps a block in the right place. That might be out of reach of Bellman, since any Bellman-created catalyst would have to stay out of the way for an improbably long time, long enough for the Herschel descendant to form completely undisturbed. And _then_ it would have to restore whatever projection the initial glider ran into. Even if it could be found, it wouldn't exactly be fast, due to having to wait for that post-Herschel explosion to get out of the way.

I.e., imagine that there's a replacement for the long ship below that doesn't recover for at least 27 ticks. It seems unlikely that Bellman will be able to find a direct catalyst that can do any such thing -- that's way too many ticks:

Code: Select all

x = 43, y = 28, rule = LifeHistory
3B$4B$.4B$2.4B$3.4B$4.4B$5.4B16.2A10.A$6.4B14.B2AB9.A.A$7.4B7.B6.2B
10.2A2.2B$8.4B5.3B4.2B14.3B$9.18B12.4B$10.17B11.4B$11.19B5.B.4B$12. 28B$10.30B$9.32B$8.32B$7.33B$6.4B3.26B2A$5.4B7.16B.B4.BABA$5.3B9.13B
11.A$5.2B13.5B3DB12.2A$20.5BD2BD3B$20.4BD2B2D4B$20.4B2D2C5B$20.2B2C2B CBC4B$22.2C3BCBC3B$28.2C! Jormungant Posts: 178 Joined: May 27th, 2016, 1:01 am ### Re: Thread for your unsure discoveries dvgrn wrote: May 4th, 2020, 6:26 pm Hey, not bad at all! This is actually a very nice color-changing edge-shooter / merge circuit, with a full 4hd clearance. I suspect this will start showing up in multi-glider shotguns, e.g., in future megaconverters by Goldtiger997: Here is some "stylish" alternative weld (and slightly smaller bounding box) Code: Select all x = 62, y = 41, rule = LifeHistory 44.2A$40.A.A2.A$38.3A.2A$37.A4.B$38.3AB2AB3.2B$3.A36.A.2AB2.4B5.2A$3. BA39.7B5.A$2.3AB37.9B.BA.A$3.4B36.9B.B2A$4.4B10.A24.11B$5.4B7.3A24. 11B$6.4B5.A21.B4.11B$7.4B4.2A19.3B3.10B$2A6.9B17.6B2.12B$.A7.6B13.4B 2.7B.13B$.A.2A5.6B3.B2.2B2.29B$2.A2.A4.45B$3.2AB3.46B$4.14B2A13B2A21B$5.13B2A13B2A21B$6.51B$6.17B.B5.26B$7.15B10.B2.20B$7.15B12.20B.B.B$8. 13B12.24B2A$10.13B.2A.2A3.25B2A$9.8B4.2A2.A.A2.A24B.2B$9.6B6.2ABA2.A.
2A.21B$9.5B8.B.A.2A5.18B$9.B.B12.A2.A5.6B2A10B$10.3B12.2A10.2B2A.10B$
9.B2AB22.5B6.6B$10.2A23.2A10.6B$36.A10.3BA3B2.B$33.3A11.2BABA7B$33.A
13.2BABA7B$47.3BA9B$45.2AB.11B$44.A.AB2.9B$44.A7.7B$43.2A7.6B!  dvgrn Moderator Posts: 6726 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for your unsure discoveries Jormungant wrote: May 5th, 2020, 3:45 am Here is some "stylish" alternative weld (and slightly smaller bounding box)... Looks good, thanks! This has a systemic name of SW47T214. So it has a different output parity than the similar sized merge circuit, SW25T179, that I've been using in the new binary-tape device. It could be part of an alternate slow-salvo-making toolkit -- swapping these two color-changing merge circuits as a way to change the output parity. Code: Select all x = 156, y = 139, rule = LifeHistory 19.3D2.D3.D2.3D2.5D.5D3.D3.5D2.3D15.3D2.D3.D4.D2.5D.5D2.3D4.D6.D$18.D
3.D.D3.D.D3.D.D7.D4.2D7.D.D3.D13.D3.D.D3.D3.2D6.D3.D3.D3.D2.2D5.2D$18.D5.D3.D5.D.D7.D5.D6.D2.D3.D13.D5.D3.D2.D.D5.D4.D7.D3.D4.D.D$19.3D
2.D.D.D4.D3.3D4.D5.D5.D4.4D14.3D2.D.D.D.D2.D4.D5.D6.D4.D3.D2.D$22.D.D .D.D3.D7.D3.D5.D4.D8.D17.D.D.D.D.5D2.D6.D5.D5.D3.5D$18.D3.D.2D.2D2.D
4.D3.D3.D5.D3.D9.D13.D3.D.2D.2D4.D2.D7.D4.D6.D6.D$19.3D2.D3.D.5D2.3D 4.D4.3D2.D6.3D15.3D2.D3.D4.D2.D7.D3.5D2.3D5.D6$97.2A$93.A.A2.A$91.3A.
2A$90.A4.B$39.A51.3AB2AB3.2B$39.3A51.A.2AB2.4B5.2A$42.A54.7B5.A$33.A 7.2A53.9B.BA.A$33.3A5.4B51.9B.B2A$36.A6.4B49.11B$35.2A3.8B48.11B$30.B 4.3B.9B42.B4.11B$29.3B5.14B38.3B3.10B$27.6B3.16B35.6B2.12B$21.4B2.7B
2.16B29.4B2.7B.13B$21.31B29.27B$18.B2C30B27.B2C27B$18.3CB2C28B26.3CB 2C24B$19.2CB3CB2A24B27.2CB3CB2A21B$18.3CB2C2B2A21B.4B24.3CB2C2B2A21B$
18.2CB2.27B2.2A24.2CB2.27B$23.26B3.A30.26B$25.B2.19B6.3A29.B2.20B$27. 19B9.A31.20B.B.B$26.21B39.24B2A$26.8B2.11B33.2A3.25B2A$24.2AB2.5B2.
11B33.A2.A24B.2B$23.A.AB2.4B3.9B.B2A33.2A.21B$23.A13.8B.BA.A36.18B$22.2A12.9B4.A36.6B2A10B$35.9B5.2A39.2B2A.10B$34.4B2.3B45.5B6.6B$33.4B
4.B46.2A10.6B$32.4B53.A10.3BA3B2.B$31.4B51.3A11.2BABA7B$30.4B52.A13. 2BABA7B$29.4B67.3BA9B$28.4B66.2AB.11B$27.4B66.A.AB2.9B$97.A7.7B$96.2A
7.6B$106.4B$105.4B$104.4B$103.4B$102.4B$101.4B$100.4B$99.4B27$114.2A$
110.A.A2.A$108.3A.2A$107.A4.B$2.B43.A61.3AB2AB3.2B$2.2B42.3A24.B36.A.
2AB2.4B5.2A$2.3B44.A22.3B39.7B5.A$2.3BA34.A7.2A22.3BA37.9B.BA.A$3.ABA B33.3A5.4B21.ABAB36.9B.B2A$4.2A2B10.A24.A6.4B9.B10.2A2B10.A24.11B31.B
$5.4B7.3A23.2A3.8B7.2B11.4B7.3A24.11B30.2B$6.4B5.A21.B4.3B.9B6.3B12.
4B5.A21.B4.11B30.3B$7.4B4.2A19.3B5.14B2.4B13.4B4.2A19.3B3.10B30.4B$2A
6.9B17.6B3.20B7.2A6.9B17.6B2.12B27.4B$.A7.6B13.4B2.7B2.19B9.A7.6B13. 4B2.7B.13B25.4B$.A.2A5.6B3.B2.2B2.35B10.A.2A5.6B3.B2.2B2.29B24.4B$2.A 2.A4.50B12.A2.A4.45B23.4B$3.2AB3.50B14.2AB3.46B22.4B$4.14B2A13B2A24B 15.14B2A13B2A21B20.4B$5.13B2A13B2A26B14.13B2A13B2A21B19.4B$6.51B2.2A 15.51B17.4B$6.17B.B5.26B3.A16.17B.B5.26B17.4B$7.15B10.B2.19B6.3A14. 15B10.B2.20B17.4B$7.15B12.19B9.A14.15B12.20B.B.B13.4B$8.15B10.21B24. 13B12.24B2A11.4B$10.14B9.8B2.11B26.13B.2A.2A3.25B2A10.4B$9.8B4.2ABA6. 2AB2.5B2.11B25.8B4.2A2.A.A2.A24B.2B10.4B$9.6B6.2AB3A3.A.AB2.4B3.9B.B
2A23.6B6.2ABA2.A.2A.21B14.4B$9.5B8.2B3.A2.A13.8B.BA.A22.5B8.B.A.2A5. 18B15.4B$9.B.B9.2A.3A2.2A12.9B4.A22.B.B12.A2.A5.6B2A10B14.4B$10.3B9.A .A17.9B5.2A22.3B12.2A10.2B2A.10B12.4B$9.B2AB9.A.A16.4B2.3B29.B2AB22.
5B6.6B11.4B$10.2A11.A16.4B4.B31.2A23.2A10.6B9.4B$39.4B63.A10.3BA3B2.B
4.4B$38.4B61.3A11.2BABA7B.4B$37.4B62.A13.2BABA11B$36.4B77.3BA11B$35.
4B76.2AB.12B$34.4B76.A.AB2.10B$33.4B77.A7.7B$32.4B77.2A7.6B$31.4B88.
4B$30.4B88.4B$29.4B88.4B$28.4B88.4B$27.4B88.4B$26.4B88.4B$25.4B88.4B$24.4B88.4B$23.4B88.4B$22.4B88.4B$21.4B88.4B!

Kazyan
Posts: 959
Joined: February 6th, 2014, 11:02 pm

dvgrn wrote:
May 4th, 2020, 7:00 pm
You know, it does seem like there might be a little bit of hope for a Bellman rebuild of the second one of those sacrificial long ships, to get a fast color-changing reflector. Has anyone tried a Bellman run on this yet?
Yes. I've previous set up Bellman searches that have treated both of the longship sites as part of the same catalyst. Up to max-active 18 and a recovery time of 18, there were no results--and the face that the search finished in a reasonable timeframe suggests that there's some analytical reason it didn't work. I suspect that the second longship method is the one with the greatest chance of success, but it will likely have to be a slightly clever bait-rebuilding trick.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

4.66920 16091
Posts: 3
Joined: May 5th, 2020, 6:14 am

Code: Select all

x = 33, y = 52, rule = B3/S23 12$17bo4b3o$16b3o3bo2bo$9b3o3b2obo3bo$9bo2bo2b3o4bo3bo$9bo5b3o4bo$9bo 3bob3o5bobo$9bo3bob2o$9bo6b2o$10bobo2$16bo$7b3o5bobo5b3o$6bo2bo4bo3bo 4bo2bo$9bo4bo3bo4bo$5bo3bo4bo3bo4bo3bo$9bo4bobobo4bo$6bobo3bobo3bobo3b obo2$13b2o3b2o$13bo5bo$14b2ob2o$15bobo$14b2ob2o$15bobo$16bo3$12b2o5b2o $12b2o5b2o$13bo5bo$14bo3bo$13b2o3b2o$12b2o5b2o$11b3o5b3o$12b2o2bo2b2o$ 13bo5bo$14b5o$15b3o! 

yujh
Posts: 1012
Joined: February 27th, 2020, 11:23 pm
Location: China
Contact:

4.66920 16091 wrote:
May 7th, 2020, 1:03 am

Code: Select all

x = 33, y = 52, rule = B3/S23 12$17bo4b3o$16b3o3bo2bo$9b3o3b2obo3bo$9bo2bo2b3o4bo3bo$9bo5b3o4bo$9bo 3bob3o5bobo$9bo3bob2o$9bo6b2o$10bobo2$16bo$7b3o5bobo5b3o$6bo2bo4bo3bo 4bo2bo$9bo4bo3bo4bo$5bo3bo4bo3bo4bo3bo$9bo4bobobo4bo$6bobo3bobo3bobo3b obo2$13b2o3b2o$13bo5bo$14b2ob2o$15bobo$14b2ob2o$15bobo$16bo3$12b2o5b2o $12b2o5b2o$13bo5bo$14bo3bo$13b2o3b2o$12b2o5b2o$11b3o5b3o$12b2o2bo2b2o$ 13bo5bo$14b5o$15b3o! 
Neat!And welcome to the forums!
I haven’t found any sign that this is known, but I’m note sure.
Use

Code: Select all

[code][/ code]
to post patterns.(No spaces)
B34kz5e7c8/S23-a4ityz5k!!!
Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc.
B2ikn35j6i/S23-a8
B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8

HartmutHolzwart
Posts: 463
Joined: June 27th, 2009, 10:58 am
Location: Germany

Welcome to the forums!

We have a wealth of c/2 rakes and puffers of period 4n. These can be perturbed by flotilla of *WSS to spaceships of some period 4m. The higher the period the more possibilities to get it somehow.

A good starting starting point to learn about this is the life status page in the lifewiki. Matthias Merzenich maintains a collection of rakes and puffers on github.

What has not been addressed for at least a decade is the question whether c/2 space ships of period 4n+2 do exist for all n.

Jormungant
Posts: 178
Joined: May 27th, 2016, 1:01 am

here is some B-to-H... new?

Code: Select all

x = 65, y = 54, rule = LifeHistory
7$34.2A$33.A.A$29.2B2.BA$27.7B$25.10B$23.12B$10.B5.5BC12B$10.2B4.6BC
10B$10.3B.8B2C7B$10.11B2C10B8.C$11.10BC12B5.3C$12.21B5.C$13.4B.5B2A7B 5.B2C$8.2C.2C.4B.4B2A7B3.5B8.2C$6.C2.C.C.C.16B4.3B11.C$6.2C.C2.C3.13B
5.4B11.C.CB$7.C.C7.11B5.8B9.C.CB.B$6.C2.2C7.11B3.10B9.C3B2C$6.C.C2.C. C5.10B4.9B8.3B.B2C$7.C.C2.2C5.11B3.9B3.2C3.2B3.B$8.C7.B.13B2.10B2.C.C .4B$15.2AB.12B2.10B3.CB2.B6.B$15.2A13B3.10B2.2B$16.35B4.B$16.35B4.6B$
18.33B4.4BDB$18.39B3DB$18.39BDBDB$18.39BD3B$16.2AB.29B.2B2.7B$15.A.AB .4B3.20B$15.A5.3B.5B.3B2.11B$14.2A9.2A9.6B2.B.B$26.A10.5B.3B$23.3A12. 4B.B2CB$23.A12.4BD3.2C$36.2C3D$36.BC.DB$34.3C$34.C!

and some unrelated block factory/glider gun & obstruction, which works in 2 directions!

Code: Select all

x = 148, y = 69, rule = LifeHistory
8$18.D$18.3D86.C$21.D85.3C$20.2D88.C$20.4B23.D61.2C$21.4B7.2C12.D62.
4B23.C$22.4B5.B2CB10.B3D61.4B7.2C12.C$23.4B4.4B9.4B63.4B5.B2CB10.B3C$24.4B2.5B8.4B65.4B4.4B9.4B$25.4B.8B4.4B67.4B2.5B8.4B$26.14B.4B69.4B. 10B.5B$27.8B.9B70.19B$28.4BD10BD4B68.17B$29.3B2D10BD4B68.4BD10BD4B$30.B2D11B2D3B69.3B2D10BD4B$29.5B2C7B2D4B70.B2D11B2D3B$29.5B2C7BDB4.2C 67.5B2C7B2D4B$29.16B4.C.C66.5B2C7BDB4.2C$29.12B10.C66.16B4.C.C$23.2A
4.11B11.2C65.12B10.C$22.B2AB2.12B72.2A4.11B11.2C$22.4B.14B70.B2AB2.
12B$18.2B.21B69.4B.14B$17.2A24B64.2B.21B$17.2A25B62.2A24B$18.B.25B61.
2A25B$21.19B2.4B61.B.25B$20.19B4.4B63.19B2.4B$20.19B.B3.4B61.19B4.4B$
20.20B2A3.4B60.19B.B3.4B$19.19B.B2A4.4B59.20B2A3.4B$17.20B3.B6.2B2C
57.19B.B2A4.4B$17.2BC15B13.BCBC54.20B3.B6.2B2D$16.3BCBC14B13.C56.2BC
15B13.BDBD$17.2B3C13B70.3BCBC14B13.D$16.5BC14B70.2B3C13B$17.22B66.5BC 14B$15.B.B4.18B4.2A60.22B$24.17B.BA.A58.B.B4.18B4.2A$12.4B8.19B2A68.
17B.BA.A$12.2C11.19B57.4B8.19B2A$13.C10.20B57.2D11.19B$10.3C11.20B58. D10.20B$10.C13.13B2A4B56.3D11.20B$24.12BA2BA5B54.D13.13B2A4B$25.11BAB
A5B2A67.12BA2BA5B$26.11BA6B2A68.11BABA5B2A$27.18B70.11BA6B2A$25.20B 71.18B$25.2A.9B2.2B73.20B$26.A4.6B77.2A.9B2.2B$23.3A7.3B79.A4.6B$23.A 7.5B76.3A7.3B$31.2A79.A7.5B$32.A87.2A$29.3A89.A$29.A88.3A$118.A!