Page 8 of 52

Re: Oscillator Discoveries Thread

Posted: September 2nd, 2016, 5:30 pm
by muzik
Came pretty close:

Code: Select all

x = 11, y = 10, rule = B3/S23
b2o5b2o$bo3bo3bo$4b3o$5ob5o2$2bo5bo$2bo5bo$3bo3bo2$4b3o!

Re: Oscillator Discoveries Thread

Posted: September 2nd, 2016, 6:20 pm
by BlinkerSpawn
BlinkerSpawn wrote:
muzik wrote:This a new oscillator? Not seeing it anywhere in DRH

Code: Select all

x = 10, y = 10, rule = B3/S23
2bo3bo$bobobobo$o2bobobo$b2ob2ob2o$3bo2bo2bo$b3o4bo$o3bobobo$b3o$3bob
2o$4bo!
Not seeing it in any of the p4 jslife collections or recognizing it from any other ConwayLife posts; neat find!
Smaller version:

Code: Select all

x = 10, y = 10, rule = B3/S23
7b2o$4bo2bo$3bobobo$2bobo2b2o$bobo2bo2bo$2bo4bobo$4bo$4obobo$o2bo$4b2o
!
Eheh, didn't even bother to scroll up... :oops:

Re: Oscillator Discoveries Thread

Posted: September 2nd, 2016, 7:35 pm
by Gamedziner
Oh dear.

Re: Oscillator Discoveries Thread

Posted: September 3rd, 2016, 1:58 pm
by muzik
Here's another period 4 oscillator:

Code: Select all

x = 15, y = 15, rule = B3/S23
9b2o3bo$9bo2b3o$10b2o$12bo$10b2obo$11bo2bo$11bob2o$9b2obo$8bo3bo$2o5bo
2b2ob2o$obobo2bobobobo$2bob3o2b3obo$bobo3b2o3bo$bo2bobo2b3o$2o3b2o2bo!
Doesn't look to be that useful but it is a (true) billiard table, so it has that going for it



Another:

Code: Select all

x = 15, y = 15, rule = B3/S23
9b2o3bo$9bo2b3o$10b2o$12bo$6bo3b2o2bo$5bobobo2b3o$4bo2bobobo$5b2o2bo2b
3o$9bo4bo$2o3b4ob2obo$obobo4bob2o$2bobobo2b2o$bobobobo2bo$bo3bobobo$2o
2b2ob2o!

Re: Oscillator Discoveries Thread

Posted: September 3rd, 2016, 2:54 pm
by dvgrn
muzik wrote:Here's another period 4 oscillator...
Doesn't look to be that useful but it is a (true) billiard table, so it has that going for it
Another...
With apologies in advance: I'm hoping I can convince you to take up another line of research besides p4 oscillators. Failing that, of course, I can just stop looking at them... but it might be better if they at least went in an "unsure" thread, not in a "Discoveries" thread. It's always terribly tempting to have a quick look and see if maybe this one will be something new.

At p4, it's really really easy to waste time finding things that other people have found before. Nicolay Beluchenko did a lot of searching along these lines, about a decade ago, and if I remember right, Jason Summers stopped collecting p4 oscillators after a while, because there were so many that it was impossible to keep the stamp collection up to date.

I've colored in the copies of your latest two p4s, from the upper right corner of the o0004-bil.lif stamp collection in jslife:

Code: Select all

x = 445, y = 268, rule = LifeHistory
18.2A4.A2.A2.A$2A3.2A12.A2.3A2.4A12.A.A.A.A18.A16.2A14.2A$2A3.2A12.A.
A3.2A15.A.2A.2A.A16.A.A16.A2.A11.A2.2A$18.2A2.A.A3.A13.A7.A14.3A2.A
12.3A3.3A10.A.A.A.2A94.2A$2A3.2A13.A.A.A.2A.A10.2A.7A.2A11.A3.A.A9.A.
A3.3A3.A8.2A.A.2A.A60.A.A17.2A10.A2.A42.2A18.2A35.2A$A.A.A.A13.A8.A6.
2A.A3.A5.A3.A.2A6.A.2A.A.2A.2A5.2A.3A4.A2.A36.A2.2A13.A4.2A11.A2.A.2A
13.2A.A2.A9.3A3.A40.A19.A19.A14.A2.A10.2A35.2C.C$2.A.A13.2A.2A3.2A.2A
6.A.A.A.2A3.2A.A.A.A7.A.A2.A2.A.A9.A2.A.A.3A8.2A3.3A21.4A14.3A2.A12.
4A3.2A11.A3.A.A12.4A3.2A35.A.A10.2A5.A.A15.3A2.A11.A.2A11.A35.C.2C18.
A.2A$.2A.A14.A8.A7.A2.A3.A5.A3.A2.A5.2A2.A3.A2.A9.A17.A6.A19.2A5.A15.
A.A16.3A2.A14.A.2A8.2A.A6.A34.2A.A.A8.A2.A2.2A.A.A13.A3.3A8.2A.A.A3.A
7.A58.2A2.A.2A.2A10.2C$5.2A12.A.2A.A.A.A7.2A2.2A.7A.2A2.2A7.A.A3.A.A
11.7A8.A.A3.2A.A.A16.A2.5A.A9.4A.A.A.2A9.3A4.2A6.2A.5A.A.A9.A2.A2.3A.
A30.2A.A.A2.2A9.2A2.A.A2.2A12.A.3A11.A2.A.5A7.2A36.3C21.2A.2A.A10.C2.
C$6.A13.A3.A.A2.2A11.A7.A13.A.A.A.A.2A16.A8.2A5.A2.2A17.2A.A4.A8.A5.A
.A2.A8.A4.A.A9.A.A3.3A2.A11.3A3.A31.A.2A.A.A2.2A8.A.2A.A.A2.2A8.3A3.A
.2A5.2A.A2.A16.A.A31.C3.C2.2C13.2A.A6.A9.2C.C$5.A16.2A3.A.A12.A.2A.2A
.A14.2A.2A16.2A16.A.A22.A4.A.2A5.A2.A.A5.A10.A.A4.A9.A2.3A3.A.A8.A3.
3A41.3A2.A7.A6.3A2.A6.A3.2A.A2.A5.A.A6.2A9.3A3.A26.2C.C.C.C.C2.C13.2A
.A.4A.A12.C.2C$5.2A11.4A2.3A2.A13.A.A.A.A36.2A16.2A22.A2.2A.A.A6.2A.A
.A.4A9.2A4.3A11.A.A.5A.2A6.A.3A2.A2.A32.3A6.2A7.2A.2A6.2A6.A.2A5.A10.
5A2.A8.A6.A27.C.C3.C.C.C17.A4.2A10.3C2.C$6.A11.A2.A2.A4.2A98.2A3.A2.A
8.A.A13.A2.3A14.2A.A15.A6.A.2A32.A4.A.2A11.A4.A.2A9.A3.A.A.2A14.2A9.A
2.A.A.A.2A23.C2.C.3C.C.2C13.2A4.A13.C2.C.C2.C$5.A125.3A2.2A8.A2.3A11.
2A3.4A11.A.A3.A10.2A3.4A33.A.A.2A4.A11.A.2A4.A10.2A3.A.A12.3A10.2A.A.
2A.2A.A23.2C2.C3.C16.A.4A.A.2A11.C.C2.3C$5.2A124.A13.2A4.A13.2A.A2.A
11.A2.A.2A15.A3.3A30.2A2.A5.A.A8.2A.A5.A.A10.3A2.A11.A2.A10.A2.A36.3C
17.A6.A.2A12.C$165.A.A16.2A22.A2.A34.A.A4.2A11.A6.2A10.A4.2A11.2A13.
2A57.A.2A.2A18.2C.3C$61.2A17.A127.2A37.2A17.2A88.2C.C16.2A.2A.A2.2A
14.C2.C3.C$57.2A.A.A16.A.A17.2A255.C.2C23.2A.A15.C.C.C.C$21.2A3.2A12.
A2.A12.A.A.A14.2A3.A3.2A14.A302.2C.2C$21.A.A.A.A12.4A12.A.A2.A13.A9.A
12.A$23.A.A12.2A4.2A7.2A.A2.A12.2A.A.A5.A.A.2A8.A.4A25.2A58.A12.A$18.
2A2.A3.A2.2A6.A2.2A.A2.A6.2A.A2.A3.2A7.A2.A.A5.A.A2.A8.A5.A24.A.A.2A.
A2.2A9.2A.A31.2A.A.A9.3A2.A$18.A2.A5.A2.A5.A.A4.3A.A8.2A.A4.A8.A.A.A
5.A.A.A6.2A.A2.A.A.A25.A.A.2A3.A8.A.A.3A11.2A.A10.2A.A.A.A2.A7.A3.3A
43.2A34.2A35.2A$19.11A7.A2.2A.A2.A6.2A.A2.A3.A10.A3.5A3.A8.A.A2.A.A.A
25.2A4.3A9.2A5.A9.A.A.3A8.2A.A3.3A6.A2.A.A3.2A39.A2.A17.A16.A17.2A17.
2A$38.2A4.2A7.2A.A2.A4.3A8.3A5.3A9.A4.A2.A24.2A2.3A.A9.2A2.3A2.A9.2A
5.A10.2A.A9.2A.A.A.A3.A36.4A18.A.A16.A15.A2.A$21.7A12.4A12.A.A2.A4.A
13.A15.3A.A28.A.A3.A.2A6.A.A.A3.A.2A6.2A2.6A7.3A5.2A9.A5.2A.A34.A4.4A
14.A2.A9.2A.3A.A15.2A.A.2A6.2A3.4A3.2A53.A$21.A2.A2.A12.A2.A12.A.A.A
16.7A15.A28.A2.A3.A2.A7.A2.A3.A10.A.A12.A2.A3.A2.A9.5A3.A35.A2.2A4.A
11.2A.A.A7.A2.A.A3.A2.A15.A.A8.A2.A4.A2.A53.A.A$57.2A.A.A14.A5.A14.A
29.2A.A3.A.A11.A3.A10.A.A3.A8.2A5.3A15.3A35.2A.A2.A.A.A10.A3.2A.2A5.
2A7.A.A.A9.4A.A.A8.A.A6.A.A30.2A21.A.A$61.2A16.A.A16.2A30.A.3A2.2A11.
3A10.2A2.A.2A11.A.2A15.2A.A40.2A.A.A.2A9.A4.A2.A9.4A.A.A.A5.2A.A5.A.
2A5.2A2.A.A2.A.A2.2A25.A2.A2.A18.2A.2A17.A2.A$78.2A.2A45.3A4.2A25.A2.
2A12.3A3.A.2A12.A.A41.A5.A2.A6.A.A.A.A.A10.A5.A.2A7.A.2A.A3.A8.A.A2.A
2.A2.A.A26.3A2.2A17.A2.A2.A16.4A$127.A3.2A.A.A13.2A.A8.2A14.A2.A.A.A.
2A57.4A3.A6.A.A4.A.2A9.2A.A3.A8.A2.A.2A.A.A8.A.2A.4A.2A.A29.2A18.A.A
3.A.A$127.2A2.A.2A.A.A11.A.2A25.A.A.2A65.3A7.A.A.3A10.2A.A.2A.A.A9.2A
3.A.2A10.A2.A4.A2.A27.3A.3A15.A2.A3.A2.A12.8A$137.2A41.A67.A.A10.2A.A
12.A2.A.A2.2A12.3A15.A2.A2.A2.A24.2A.A7.A.2A10.A3.A.A.A3.A10.A.A6.A$
44.A203.2A29.2A.A.A14.A18.2A4.2A26.A.A4.A2.A.A10.A.3A.3A.3A.A9.2A2.A.
A2.A$25.A18.3A11.2A13.A18.2A189.2A67.A.A3.A.A.2A2.A6.3A4.A3.A4.3A4.2A
.A3.A2.A.A.2A$25.3A14.2A3.A10.A13.A.A15.3A257.2A.A3.A.A3.A.2A5.A3.A2.
2A3.2A2.A3.A4.A.A.2A5.A.A$23.2A3.A8.2A2.A.A.2A12.3A10.A.A14.A4.A40.2A
52.A160.A2.2A.A.A3.A.A8.3A4.A3.A4.3A5.A.A5.2A.A.A$22.A.A.2A9.A2.A.A2.
A10.3A3.A7.2A2.A.2A10.A.4A.A38.A.A12.2A19.A12.2A3.A.A11.A149.A.A2.A4.
A.A10.A.3A.3A.3A.A6.2A.A.A2.A3.A.2A$18.2A.A.A2.A8.2A2.2A4.A9.A4.2A2.A
6.A.A2.2A10.A4.A.A38.A13.A.A17.3A13.A3.A.A10.A.A147.2A.A7.A.2A10.A3.A
.A.A3.A10.A2.A.A2.2A$18.A.2A4.A7.A2.2A3.3A9.A.A4.A.2A6.A.2A.A3.2A5.2A
.A4.2A36.2A.A11.A6.2A10.A3.2A9.A2.2A.A.2A8.A.A.A.2A147.3A.3A15.A2.A3.
A2.A11.A6.A.A$23.3A9.2A2.2A13.A.A2.A.A8.2A2.A.A4.A6.A.A.2A2.A34.A4.3A
6.2A.A5.A2.A9.4A2.A8.2A.A.A10.3A3.A.A83.2A65.2A19.A.A3.A.A13.8A$19.3A
15.3A.A.2A8.2A.2A.A.A10.A2.A.4A6.A2.A3.2A38.2A3.A6.A.A.A4.A2.A11.A2.A
9.A6.2A5.A3.A2.A.A2.2A78.A2.A13.2A47.2A2.3A17.A2.A2.A$19.A2.A.2A11.A
3.A.A11.A4.A11.2A.A11.2A2.3A36.A6.2A7.A.A.A.2A.A.2A6.3A.A3.A.2A6.A.4A
2.A6.3A.A3.2A2.A43.2A27.A.2A.A.2A15.3A45.A2.A2.A18.2A.2A17.4A$20.A.A.
2A12.3A2.A11.A.3A15.A.2A14.A34.3A.A.2A.A9.2A.A5.A7.A3.4A.A.2A7.A.A2.
2A9.A.3A3.2A35.2A7.A9.2A7.2A8.2A.A.A16.A4.A14.2A30.2A22.A.A18.A2.A$
21.A18.A.A13.2A17.2A.A48.A4.A.A2.A13.4A.A8.2A5.A14.2A12.A4.2A38.3A2.
2A.A9.A9.A13.A16.5A.A13.A2.A.2A49.A.A$41.A86.2A.2A.A.A18.A10.A.A.2A
16.A13.3A2.A34.A.A4.A3.A7.2A.A4.A2.A.A.2A9.A3.A4.A14.A15.2A.A.A49.A$
129.A.A3.A17.A11.A2.2A.A.A13.A16.A.A35.2A.2A.A12.A.2A.2A.A2.A.2A.A5.
2A.A.3A.A2.A.A7.3A4.2A11.A.A4.A$129.A.A21.2A10.2A5.2A13.2A16.A39.A2.A
3.A13.A.A3.A10.2A.A4.A3.A.A6.A.A7.A8.3A3.2A.A.2A$130.A114.A2.A3.A13.A
.3A.A13.A4.A4.A7.A2.2A4.A.A6.A3.A3.3A.A$23.2A13.A15.A14.2A171.2A.2A.A
18.A3.A14.2A3.A.3A7.2A2.A.A3.A.A6.2A.A6.A.A$22.A.3A11.3A12.A.A13.A.A.
A168.A.A4.A3.A14.A.A17.A3.A11.A.A.2A.A.A.2A6.A.A.A.2A.A.2A$22.A4.A.A
6.2A3.A9.3A2.A10.2A2.2A.A10.2A.A.2A154.3A2.2A.A12.2A.2A16.4A2.2A8.A.
2A2.2A.A2.A6.A.A.A.A2.A26.2A.A22.2A$20.2A.A.2A.2A5.A2.A2.A8.A4.2A11.A
.A3.A9.A.A.2A.A58.A94.2A7.A40.A9.A5.A.2A9.2A.2A2.2A26.A.2A22.2A$21.A.
A2.A9.A.A.2A.2A5.A.2A3.2A9.A.A.2A.2A6.A2.A45.A13.2A.A.A11.2A17.2A15.
2A53.2A34.2A2.A11.5A$21.A4.A8.2A5.A.A6.A3.2A2.A6.2A7.A7.4A.3A40.A.A
11.A.A.A.A11.A2.2A13.A2.A12.3A.A88.2A2.2A12.A51.3A16.A3.4A$18.2A.A.2A
.2A10.4A11.A.A2.2A5.A.A.2A.A2.A14.A39.A2.3A8.A4.A.2A11.2A2.A11.A.A.A
11.A4.A157.A3.A14.A.A.A4.A11.A3.2A$18.A.A4.A9.2A16.A.A9.A.A2.A.3A7.A.
2A.A.A37.A2.A.A3.A7.4A.A3.A7.3A4.A10.A2.A.A.2A7.A.A.2A.2A152.A2.A.A.A
13.A2.A.2A2.A.A9.A.A.A.A$21.3A.A8.A2.3A11.A.A.2A9.A.A2.A10.2A.A.2A38.
3A4.2A15.2A8.A2.A.A.2A8.A6.A.A7.A.A4.A152.A.A.A4.2A12.2A2.A.2A.A.A.2A
5.A.A.A$23.2A9.2A3.A11.2A14.A4.A57.3A3.3A7.4A3.3A6.A.A4.A8.2A.4A9.2A
4.A.A153.A2.A.A4.A.2A14.A.A2.A.2A4.2A.A2.A$71.2A56.A4.2A2.A7.A4.2A2.A
5.2A.A.A.A11.2A11.A3.4A.2A155.2A.A.A.A.A9.3A4.2A2.A7.A2.A.A4.2A$130.
3A2.A11.3A2.A11.A.A2.3A6.2A2.3A9.2A5.A45.2A2.A9.2A16.2A19.2A11.2A35.
2A2.5A2.A4.A2.A7.A.A7.A.A9.A5.A2.A$132.A.A14.A.A12.A2.A.A2.A5.A2.A2.A
11.4A.A46.A2.3A7.A16.A2.A17.A.A11.A36.A2.A4.A2.5A2.2A7.A2.2A4.3A11.2A
2.A.2A$133.A16.A12.2A3.A2.2A7.2A14.A2.2A42.A2.A7.A7.3A.2A10.3A2.2A12.
3A.A.2A5.2A.A.A3.2A30.A.A.A.A.2A13.2A.A2.A.A19.A$61.2A12.2A2.A.A17.2A
.A140.7A.2A2.A8.A.A14.2A.A2.A8.A3.A.A.A5.A2.A.A3.A.A28.2A.A4.A.A2.A
10.2A.A.A.2A.A2.2A13.A.4A$23.A.A15.2A12.A2.A2.A14.A2.2A.A17.2A.A145.A
.A.2A11.A.A9.2A.A2.A.A.A6.A.3A2.A8.2A.A.A4.A32.2A4.A.A.A13.A.A2.2A.A
2.A13.A4.A$23.2A.A12.3A13.4A3.A11.A7.A15.A4.A139.2A.A.4A.A7.2A2.A.A.A
9.A3.A.2A.A6.A2.A.A2.A10.A2.4A35.A.A.A2.A15.A4.A.A.A16.3A$26.3A9.A4.A
9.2A4.3A.A9.A.7A.2A2.2A8.A.4A.2A2.2A77.2A53.A.A3.A.A2.A7.A7.A9.A7.A8.
A.A2.A.A10.A.A.A37.A3.A19.4A3.A16.2A$21.5A3.A7.A.4A.A7.A2.A.2A4.A7.3A
4.A4.A.A2.A6.3A4.A3.A2.A27.2A12.A15.A.A17.A19.A34.A3.A.A.3A9.6A.A.A8.
7A7.A.A.A3.A12.2A40.3A$18.A.A6.2A.A6.A4.A.A6.A.2A3.A2.A.2A5.A4.2A3.2A
3.A.A6.A3.A2.2A.A.A.A20.2A3.A.A.A11.A.A13.A.2A19.A4.2A7.2A.A.A34.3A.A
.A18.A.A.A11.A9.2A.A.3A15.4A59.2A$18.2A.A.A.A3.A6.2A.A4.2A6.A2.A.2A4.
A7.3A4.A4.A.A.2A6.3A4.A3.A.2A19.A.A.A.2A12.A.A.A10.3A5.A12.4A.A2.A.A
6.A.A.A.A36.A.A2.A13.2A2.A2.A10.A14.A.A17.A2.A36.2A.A19.2A$21.A.A3.2A
8.A.A.2A2.A7.2A4.3A.A9.A.7A.2A12.A.4A.2A25.A.A3.A8.A2.A3.A9.A3.6A11.A
5.A2.A7.A4.A.2A38.2A14.2A3.2A11.2A13.2A58.A.2A$21.A2.3A9.A2.A3.2A10.
4A3.A11.A7.A15.A4.A26.A3.4A7.A.A.2A.2A.2A5.A.A2.A15.A2.A3.4A7.A.2A.A
3.A$20.2A4.A9.2A2.3A12.A2.A2.A14.A2.2A.A17.2A.A26.A3.A11.2A5.A.2A6.A
7.4A9.2A.A14.A5.2A2.A$42.A18.2A12.2A2.A.A17.2A.A24.2A.A.A.A.2A11.A.A.
A10.4A7.A14.A.2A9.3A.A2.3A$128.A2.A.A2.A2.A6.2A5.A17.A2.A.A7.4A3.A2.A
10.A.2A$128.A9.2A5.A2.4A.2A11.6A3.A8.A2.A5.A12.A3.3A55.2A29.A2.2A15.
2A58.2A6.2A$129.9A7.2A5.A13.A5.3A7.A.A2.A.4A14.2A3.A37.A16.A2.A12.A
14.A.A2.A14.A2.A56.A2.A4.A2.A$131.A2.A2.A12.A.A16.2A.A9.2A4.A20.3A37.
A.A14.A.2A12.A.A.A11.A.3A14.A.2A56.A.A.A4.A.A.A$150.2A17.A.A18.A18.A
37.3A2.A13.A15.A.2A.A8.2A19.A36.2A.2A17.A2.A.2A2.2A.A2.A15.2A$189.2A
55.A3.A.A8.A.2A.A.4A8.2A5.A9.A.A.4A7.A.2A.A.4A31.2A.A.A15.A.3A8.3A.A
10.2A2.A$245.A.3A2.2A7.2A.A.A5.A8.A.A.2A.2A7.A4.A2.A6.2A.A.A5.A33.A2.
A14.A5.2A2.2A5.A9.A2.A.A2.A$243.3A4.A.A11.A4.A.A.A7.A4.A.A6.2A2.2A3.A
.A8.A4.3A.A29.3A.2A16.3A.A6.A.3A9.A2.A.A.3A$55.2A2.2A13.2A.2A163.A4.A
.2A.A11.4A.A.A.A5.2A2.2A3.A7.A.A3.A2.A9.4A.A.A.A25.2A.A8.A15.A.A2.2A
2.A.A8.2A.A5.A$24.2A16.A11.A.A2.A13.A.A.A.A163.3A5.2A.A14.A2.A7.A.A3.
A.2A6.A2.6A15.A2.A26.2A.A2.3A2.A.A18.A2.A12.2A.A6.A$18.2A.A.A.A15.A.A
8.3A5.3A10.A.A3.A13.A151.A.A.A3.A.A10.4A10.A2.3A.A7.2A20.2A.A32.A.A.A
.A.A2.A17.A2.A15.A5.A.A$18.A.2A.A15.3A.A7.A3.5A2.A8.3A.A3.A.2A9.A.A3.
2A146.2A.2A.A2.A10.A12.2A4.A.A13.2A13.A2.A30.3A2.2A.2A2.3A13.A.A2.2A
2.A.A12.A6.A$24.A13.A5.2A6.2A6.A9.A4.A3.A.A9.A2.A3.A154.2A12.A18.A14.
2A14.2A31.A2.A.A.A.A.A14.3A.A6.A.3A11.A4.A$19.4A14.A.2A.A.A9.A.A.2A
10.6A.A.A.A8.A.2A.2A.A167.2A83.A.A2.3A2.A.2A10.A5.2A2.2A5.A11.4A$19.A
2.A.2A11.A4.A.A9.A6.A14.A.A.A9.A2.A3.A39.A65.2A147.A8.A.2A10.A.3A8.3A
.A$20.2A14.2A.A2.A.2A10.2A.A.A8.2A3.A2.A12.A.A2.A36.A.3A47.A17.A151.
2A.3A15.A2.A.2A2.2A.A2.A13.2A$21.A.2A.A.2A5.A2.4A13.A6.2A6.A5.3A9.3A
3.A38.2A17.2A12.2A17.3A17.A148.A2.A19.A.A.A4.A.A.A14.2A$21.A2.A.2A.A
6.2A15.A2.5A3.A6.5A12.A2.3A37.2A3.2A2.A10.A2.A10.A.3A13.2A3.A12.4A.A
148.A.A.2A17.A2.A4.A2.A$22.2A14.4A11.3A5.3A12.A14.A38.A2.3A.4A8.A2.A.
A10.A4.A.2A5.2A.A3.A.A11.A3.A.A149.2A.2A18.2A6.2A$38.A2.A14.A2.A.A11.
3A54.A.A14.6A.2A7.2A.A.A.A.A7.A.3A3.2A9.A.A4.A.2A$55.2A2.2A12.A53.2A.
A.A2.A.2A7.A5.A.A9.A.A3.A2.A5.A6.2A2.A8.A.A4.A.A$127.A2.A.A2.A.A.A6.A
.A2.2A.A9.A6.2A7.5A3.A.A6.2A.A.A.A.A.A60.A$129.A4.A4.A7.A.A.A.2A.A6.
2A.5A12.A2.3A.2A5.A2.A.A4.A40.A2.A13.A2.A.A17.A20.A3.2A$130.5A.3A10.A
.A3.A.A7.A4.A9.2A2.A4.A9.2A.5A41.4A13.4A2.A14.5A17.A.A2.A12.2A.2A$21.
2A14.2A19.A12.A63.2A11.2A.2A.A2.A7.A.3A10.A4.3A.A11.A50.2A15.A.A13.A
5.A14.3A2.A.A8.A2.A.A.A.A$21.A.A.A11.A2.2A16.3A10.3A14.A43.2A21.2A9.
2A14.A4.2A12.A.2A41.5A3.A8.7A2.2A10.A.4A.A13.A3.A.A2.2A6.4A.A.A2.A$
19.2A2.2A.A11.2A2.A13.2A3.A12.A.2A9.A.A42.A.3A44.2A19.A.A38.A.A6.2A.A
6.A4.A2.A.A.A8.A.A6.2A10.A.A2.A2.A.A.A12.4A$20.A.A3.A14.2A12.A3.3A7.
4A.A.A9.A2.A46.A106.2A.A.A.A3.A6.A.A3.2A.A2.A9.A3.A2.2A2.A6.A2.A2.A.A
2.A2.A6.4A93.2A$20.A.2A.A.2A7.4A3.2A6.2A.A.2A10.A5.A.A9.A.2A.2A153.A.
A2.3A8.A7.A9.2A.2A.4A.A.A6.A.A.2A2.3A.A9.A2.A.A.4A43.2A2.A16.A22.A19.
A$18.2A2.A2.A.A8.A4.2A2.A5.A.2A.A2.3A7.A.A4.2A7.2A4.A154.A2.2A12.7A
10.A.A8.A.2A6.2A2.A.A3.A11.A.A.A.A2.A27.A15.A3.3A13.A.A2.A17.A20.3A$
19.A.2A4.A9.A.A.A2.2A11.2A2.A5.A.A.A.3A8.A3.A.A2.A153.2A2.A31.8A12.A.
A2.3A13.2A.2A18.A2.A7.3A2.A13.3A3.A11.A2.4A16.A.3A20.A$19.A2.A.3A7.3A
2.A.A10.2A.A4.A6.2A2.A3.A8.3A3.A.2A37.2A33.A19.2A62.2A13.3A17.A2.A14.
A2.A.A38.6A4.A3.3A7.2A.3A2.A.2A.A11.2A4.2A11.A2.A4.A14.4A2.A$20.A13.A
4.A.2A9.A2.A.3A11.4A13.A.A41.A17.A15.3A17.A17.A60.A2.A33.2A3.A45.A3.
4A11.A.A3.2A2.A.A8.3A2.A.A3.A9.A.A.A2.A.A13.A4.3A$21.6A9.3A14.A.A.A
25.A.2A.A.A39.A18.A.A17.A17.3A12.3A4.2A55.2A81.5A3.2A2.A10.A.A7.A.2A
6.A3.3A3.2A.A8.A.A.A4.A.2A9.A2.2A$23.A2.A8.2A17.A18.2A8.2A.A.2A40.2A
14.A2.2A.A11.5A.A.2A10.3A3.A10.A3.2A2.A139.A2.2A3.5A7.2A.A7.A.A8.A.2A
3.3A3.A6.2A.A.6A.A.2A7.A.A5.3A$73.2A53.2A3.A.2A9.3A2.A.A9.A6.A.A10.A
4.A.A7.A2.A.2A2.A.A140.4A3.A12.A.A2.2A3.A.A9.A3.A.A2.3A7.2A.A4.A.A.A
9.A.2A.3A3.A$127.A2.3A3.A12.3A.3A6.A.A.A3.A2.A8.A.A.2A.A7.A.A.A4.2A2.
2A135.3A3.A4.6A6.A.2A.A2.3A.2A9.2A4.2A13.A.A2.A.A.A9.A3.A3.3A$128.2A
6.A.2A8.A7.A6.A2.A4.2A9.A.A4.A.A6.2A2.2A4.A.A.A134.A2.3A7.A2.A7.A3.3A
17.4A2.A12.A4.A2.A9.2A3.A.A.A$130.A2.2A.2A.A8.A.A2.2A.A7.2A.4A8.2A.A
4.2A.2A8.A.A2.2A.A2.A72.A32.2A31.A21.3A3.A16.A2.A.A14.3A.A18.A.A$59.A
68.2A.A2.A11.2A2.A.A2.A14.A9.A.2A.A2.A11.A2.2A3.A38.2A17.2A15.A.A12.
2A16.A2.A54.A2.2A20.A18.A20.A$58.A.A34.A.A31.A.2A.A10.A2.2A2.A.A9.6A
10.A2.A.A2.A10.2A4.3A40.A11.2A.A.A.A15.A2.A10.A2.A14.A.2A98.A$25.A17.
A14.A.A18.2A13.A.2A31.A2.A.2A9.2A5.2A10.A2.A13.A.A2.2A17.A37.2A2.A12.
A.2A.A15.2A.A.A10.A.A.A12.A.A100.2A$22.A2.3A12.A.A.A11.2A.A.2A16.A14.
A35.2A50.2A59.A2.A.3A2.2A11.A13.A.A.A.2A8.2A.A2.A11.A.A.3A$20.5A3.A9.
3A.A2.A9.A.A.A3.A9.A2.2A.A12.2A.3A146.A.A4.A2.A6.4A14.A.A2.A10.A4.3A
12.A.A3.A$19.A6.2A.A7.A5.3A9.A.A.A.3A8.A.A2.A.2A7.A2.A.A4.A144.2A.A3.
2A.A7.A2.A.2A.2A8.A.A4.2A8.3A18.A.A.A$18.A.A2.2A2.A.A7.5A11.2A9.2A6.A
.2A6.A5.4A.A2.A.A146.A6.A9.2A6.A5.2A.4A.A.A6.3A4.5A7.2A3.A2.A.2A$19.A
2.A3.A2.2A12.2A.A5.A2.3A3.3A2.A6.A2.2A.A.2A10.2A.A.2A31.2A17.2A23.2A
11.A.A52.2A.2A.2A13.6A6.A.A7.A6.A2.A.A5.A7.A2.A4.A.A$20.2A2.A.A.A8.2A
2.A.A.2A6.2A9.2A8.A.A2.A.A8.2A5.A2.A29.A2.A15.A2.A22.A11.A.2A15.2A35.
A3.A.A14.A14.3A.2A.2A8.A2.2A2.A9.6A.A.A67.A16.2A$24.A.A.A7.A2.A.A.A
11.3A.A.A.A9.2A4.A.A8.A2.A.2A2.2A30.2A.A9.2A3.2A.A11.A2.A.2A.2A.A9.3A
16.A2.3A34.3A2.A15.3A13.A.A2.A10.A.A4.3A12.A.A63.2A2.A.A14.A2.A17.A$
20.4A2.A.2A6.2A2.A2.A11.A3.A.A.A8.A2.A2.2A.2A8.A.A.A36.A.A2.A7.A6.A.
2A8.5A.A.A.A.2A6.A4.2A13.2A4.A35.A.A18.A16.A.A9.2A2.A5.A8.2A2.A50.A2.
A11.A2.A.A.A14.2A.A14.3A$20.A2.A.A15.2A13.2A.A.2A10.A2.A15.2A2.A32.4A
.A.A.A6.A.4A.A2.A14.A.A3.A7.A2.2A.A11.2A2.2A.A.A35.A37.A13.2A14.A.A.A
30.A17.6A9.2A2.2A.A.A17.A13.A$24.A33.A.A13.2A19.2A31.A5.A.A.A7.A3.3A
11.2A.3A4.A2.A5.2A.A6.A7.A2.A.A2.A.A2.A103.A30.A.2A14.A14.A2.2A5.A.2A
9.3A2.A.2A9.A2.4A$58.A.A66.A.A.A5.A11.3A3.A7.A2.A4.3A.2A9.A3.4A8.A.A
6.A.A.A133.A3.2A.2A8.A2.3A10.A.A2.A.A.A.A.A6.A2.A2.3A2.A10.2A4.A$59.A
67.A.A.A.4A9.A2.A.4A.A7.A3.A.A15.2A.A13.A.A5.A2.A133.2A.2A.A.A8.A.3A
2.A8.2A.A.A5.A8.A.A.A.2A2.2A8.3A2.A.A.A$128.A2.A.A12.2A.A6.A6.2A.A.A.
A.5A14.5A9.A3.A.A135.A3.A.A2.A8.A4.A.A11.A3.A.2A9.A.A.A3.A.A8.A3.A.A.
A.2A$131.A.2A14.A.2A3.2A7.A.2A.2A.A2.A15.A2.A9.2A2.2A55.2A80.3A3.A.2A
5.2A.A.A.A.A.2A8.A3.A.A11.A5.2A.A7.A.2A6.A2.A$132.A2.A13.A2.A12.A24.A
58.2A14.A2.A13.A.A15.2A.2A45.A.2A.A8.A.A5.A2.A9.3A.A2.A10.4A3.A9.A3.
4A3.A$26.A17.A88.2A15.2A12.2A24.2A56.A2.A13.3A12.3A.3A12.A.A.A14.2A5.
2A24.A.A.A8.A2.A.A.A.A15.A.2A14.3A11.2A5.3A$25.A.A15.A.A2.A8.2A20.2A
9.2A.2A152.A.2A12.2A3.3A8.A3.A3.A7.2A3.A2.A.A13.A2.2A2.A27.A10.A.A.A.
A.2A12.2A.A14.A.A15.4A.A$21.2A2.A.A14.A2.4A8.A.A11.2A.A.2A2.A10.A.A.A
148.A2.A.A12.A2.2A.A2.A6.A2.A.A2.2A7.A2.A.A.6A9.A.A.A2.2A40.2A.2A16.A
2.A14.2A16.A2.2A$20.A2.A.A.2A13.A.A14.A2.2A7.A.2A.A.2A10.A5.A146.A.A.
A.4A9.2A3.2A2.A7.3A2.2A10.3A.A7.A6.3A2.2A66.2A$20.A.A2.A.A2.A8.2A.A.A
2.2A9.2A.A2.A11.A.A11.2A.4A58.A14.2A71.A.A.A4.A13.A2.A.2A11.4A15.2A.A
.A5.A5.A.A$18.2A2.A.A.A2.2A8.A2.A3.A2.A6.A4.3A.A6.3A.A2.A6.A.2A44.A
18.3A13.A.A17.A54.A5.A.A.2A6.2A.A.A.A11.4A3.A9.4A2.A.2A7.6A.A.A.2A$
19.A.A4.A9.2A.A.A2.2A2.2A6.4A4.A7.A4.3A6.2A.A2.3A38.A.A16.A16.A14.2A
2.A.A2.2A12.A37.4A.A.A2.A5.A.A.A.A.A11.A6.A9.A3.2A17.A2.2A.A$19.A.A.
2A.5A5.2A.A.2A19.2A9.A.A15.A2.A36.3A2.A16.5A9.2A.A13.A2.A.A.A2.A11.A.
A41.A.2A8.A3.3A15.2A.A11.3A15.2A2.A.A$18.2A.A3.A4.A8.A.A2.5A.A5.4A.A
10.2A.A.2A.A5.2A.A.A38.A3.A.A13.3A5.A7.A.A.3A12.A.A.A.A.A11.A.A.A37.
3A32.A2.A.A.A11.A15.2A3.2A30.A53.A18.A$22.3A2.A11.A.2A.A2.A.2A5.A2.A.
A9.A2.2A.A.2A5.A2.A.2A37.A.2A2.A.A10.A3.A3.A.A5.A7.A12.A.3A.A9.A2.A.A
.A2.A34.A17.A.2A13.2A4.2A62.3A29.2A5.2A14.A.A16.A.A$25.3A12.A2.A16.A
10.2A14.A.A37.2A.A4.A.2A9.A.4A4.A7.2A.A.2A.A9.A.A5.A.A6.A.A.2A.2A.A.A
51.2A.A82.A16.2A15.A2.2A2.A11.A2.2A14.A2.2A$24.A16.2A45.2A38.A2.A.A.A
9.A2.A4.A.3A9.A.A4.3A6.A.A2.A.A2.A.A6.2A7.2A137.A2.4A11.A2.3A11.A.A.A
.A12.3A16.3A$24.2A102.A2.A3.A8.A.A.A2.3A.A11.A2.A.A4.A5.A.A.A3.A.A.A
8.A.A.A.A140.2A4.A7.2A.A15.2A.A3.2A15.3A16.3A$129.3A.2A10.A2.A5.A13.
2A2.A3.A.A5.A2.A3.A2.A7.2A7.2A135.3A2.A3.A7.A.A.2A11.A2.A.A.A3.A8.6A
3.A9.6A3.A$132.A15.A.4A16.2A2.A2.A9.A.A.A11.A.2A.2A.A135.A4.A2.A.2A8.
A.A3.A8.2A2.A4.2A6.A.A7.A.A6.A.A7.A.A$129.2A.A16.A17.A.A2.5A11.A.A12.
A2.A.A2.A106.A28.2A.2A3.2A2.A7.A3.5A10.A.3A8.2A.2A.A.A.A.2A5.2A.2A.A.
A.A.2A$59.A17.A15.A35.A.A19.A15.2A2.A17.A14.2A3.2A43.A13.2A12.2A17.2A
14.A.A30.A.3A3.A9.3A5.A5.4A.A2.A11.A.A5.A10.A.A5.A2.A$28.A11.2A17.3A.
A13.3A.A10.A.A55.2A20.A.A78.A.A11.A2.A11.A.A16.A2.2A11.A.A27.3A5.3A
12.A.4A6.A2.A.A14.A2.4A.A10.A2.4A3.A$27.A.A11.A20.2A16.2A9.A2.A78.2A
74.2A3.A12.A.2A14.A16.A.A.A8.2A2.A.2A24.A2.2A.A.A15.A.A12.A14.2A6.A
10.2A6.3A$24.A.A.A.A9.A18.2A16.2A13.3A.2A151.A14.2A.A5.A9.2A.A.2A9.4A
3.A9.A.A29.A2.A.2A52.A18.A.A$22.3A.A3.A9.2A17.A.5A11.A.3A13.A3.2A145.
2A.A2.5A7.A2.A2.4A5.2A.A3.2A.A8.A5.A.A.A7.A.2A.A.A25.2A56.2A17.2A$21.
A4.A.2A14.A11.2A.A6.A7.2A.A4.A9.2A6.A145.A2.A.A5.A9.3A10.A.A.A13.2A.A
.A.A.2A6.2A2.A.2A.A2.2A$21.A.2A15.2A3.A.2A7.2A.A2.A.A.A7.2A.A2.A.A9.A
150.2A.A3.2A3.3A6.A3.A.2A8.A.A3.3A6.2A.A2.A.A.A8.A2.A2.A7.A$18.2A.A3.
A.5A7.A.A3.A.A11.A2.A.2A11.A2.A.2A5.2A.A4.6A34.A10.2A12.A8.A38.2A31.A
.A4.A.A.A8.A.4A2.A9.A3.A2.A7.A2.2A4.A9.2A4.7A$19.A2.4A.A3.A7.2A2.A.A
2.A7.2A4.A11.2A4.A8.A2.A.2A6.A30.2A.A.A9.2A11.A.A6.A.A9.2A6.2A17.A.3A
32.5A.A2.A7.A5.2A11.2A2.A9.A4.4A$19.A5.A.A2.A6.2A2.A.2A2.2A6.A.4A.A
10.A.4A.A10.2A.A2.A.3A30.A.A.2A23.A.A6.A.A9.A8.A15.3A4.A36.A2.2A8.3A.
A15.2A11.3A23.3A$20.5A2.A.A8.A.2A13.A5.A11.A5.A15.3A.A31.A.A13.4A8.2A
2.2A4.2A2.2A8.8A10.2A3.A4.2A.A33.3A15.A.A11.4A15.A.2A19.A2.A27.2A3.2A
17.2A$22.A4.2A9.A2.A12.2A3.A12.2A3.A20.A29.A2.A.2A11.A4.A8.A.A8.A.A
11.4A11.A2.A.A.4A.2A34.A18.A12.A2.A16.A.A20.2A28.A4.A16.3A$39.2A18.2A
16.2A18.A29.A.A.A2.A.2A7.A6.A6.A2.4A2.4A2.A6.3A6.3A7.A.2A.A148.3A.A
12.2A.A4.A$97.2A29.A2.A2.A.A.A6.A.A2.A.A6.3A10.3A5.A2.A.A2.A.A2.A5.2A
.A2.A.A.A.3A142.A.2A12.A.A.4A$131.A6.A5.2A.A2.A.2A8.3A4.3A8.2A3.4A3.
2A5.A3.A5.A4.A144.A12.A.A$132.6A6.A2.4A2.A7.A2.6A2.A11.A4.A10.2A.A.2A
4.A.A.A134.2A3.A.2A11.A.A.A2.A$146.A4.A9.2A8.2A11.2A2.2A11.A.A9.A.A
134.A3.2A3.3A6.3A2.5A$134.2A11.A2.A15.2A33.A.A.A4.2A.A.2A33.A96.2A.A
6.2A2.A5.A3.A$134.2A10.2A2.2A14.2A34.A4.A5.A3.A30.3A19.A76.A.2A.2A4.A
8.A.A3.3A$203.3A.A.A.A2.A.2A29.A21.A.A80.A5.A.A7.2A.2A2.A$211.A.2A.A
30.A2.3A15.A.A.A79.A.A4.2A13.A$203.2A.4A.A.A2.A29.2A.A2.A15.A.A.A80.
2A13.6A$93.A.A106.A.2A4.A3.2A27.A.A3.A16.2A4.2A94.A2.A$22.2A13.2A19.
2A13.A2.A15.A.4A104.A4.3A33.2A.A.A16.A.A.A.A$21.A.A12.A.A18.A2.A12.6A
13.A5.A104.3A.A38.A.A.2A.A.2A8.A3.A.A$21.A14.A7.2A7.A2.A.A.A18.A9.2A.
A.3A2.A105.2A39.A4.A.2A.A5.2A.2A.3A$18.2A.A11.2A.A6.A.A7.4A.A2.2A10.
3A.2A2.A7.A.A.A3.2A148.4A11.A.A$18.2A.A12.A.A6.A13.4A2.A8.A3.A.A.2A9.
A3.A.A167.6A$21.A.A8.A.A.A.A2.3A9.2A.A5.A9.A3.A.A11.A.2A.A.A151.2A16.
A2.A$21.A.2A.A5.2A2.A.2A12.A2.A.A.3A7.2A.A.A.A.A11.A5.A80.2A5.2A63.2A
$18.2A.2A3.A9.2A3.3A8.A2.A.A.A9.A.A5.A9.2A.2A2.2A82.A5.A$18.A.A3.2A
13.2A2.A7.2A.A.2A14.5A10.A2.A3.A61.2A19.A7.A$21.3A12.3A3.A11.A3.A15.A
13.A.A.A.A59.3A20.2A5.2A$23.A12.A2.3A12.2A.2A30.2A.2A43.A15.A4.A22.A$
39.A91.A2.A.A.A13.A.4A.A15.5A3.5A13.2A$129.6A.A2.A12.A6.A15.A5.A5.A
14.A17.A47.A8.2A9.2A3.2A14.A2.2A13.2A2.A.A$128.A8.A.A10.2A2.A2.A2.2A
8.A.2A.A2.3A.3A2.A.2A.A8.A18.3A27.2A2.A12.A.A7.A10.A.A2.2A12.3A2.2A
13.2A2.2A.A$127.A2.2A.A.A.A.2A8.A4.A2.A4.A7.2A.A.A.A.A3.A.A.A.A.2A8.
2A20.A.2A23.2A2.3A10.A.3A2.2A.A12.A15.A27.A$94.A.2A30.2A3.A5.A7.A2.A.
2A4.2A.A.A11.A.2A5.2A.A11.2A7.A9.3A2.A.A31.A8.2A4.A3.A9.4A.4A10.A.9A
9.9A.2A$24.2A16.A51.2A2.A32.A4.2A.A7.2A.A10.A.A13.A7.A12.A3.2A3.A.A7.
A3.3A2.A17.2A2.7A2.A7.A2.2A.A13.A3.A5.A7.3A4.A5.A7.A5.A4.A.A$20.2A2.A
16.A.A10.A6.A6.A11.A.2A13.2A29.2A9.2A7.A.A10.A.2A9.A.A9.A.A10.2A6.A.A
7.A.A4.2A18.A2.A3.A3.A.2A5.A.A4.A3.A8.A.A2.A2.A.A.A5.A3.A2.A.A3.A.A5.
A.A3.A.A2.A2.A$19.A2.A.A15.A.A.A8.A.A4.A.A4.A.A8.4A.A8.5A2.2A28.A.2A
4.A10.A.A.2A4.2A.A2.A12.A7.A14.A.A3.2A.2A5.2A.A.A.A21.A.A.A3.A.A9.A2.
2A.A13.A3.A5.A7.3A4.A5.A7.A5.A4.A.2A$18.A.2A2.A.A10.A2.A3.A8.A.A4.A.A
4.A.A7.A13.A4.A.A2.A27.A5.A3.2A8.A4.A2.A4.A12.A.2A5.2A.A10.A.A.A2.A4.
A7.A4.A20.2A.A2.A.A2.A10.2A4.A3.A9.4A.4A10.A.9A9.9A.2A2.A$19.A4.A.3A
7.A.A.A3.A.2A6.A.2A.2A.2A.2A.A7.A.A.3A7.A.A.A.A2.2A27.2A.A.A.A.2A2.A
8.2A2.A2.A2.2A8.2A.A.A.A.A3.A.A.A.A.2A5.2A2.A3.4A8.A.3A25.2A3.2A12.A.
3A2.2A.A12.A15.A27.A3.2A$20.3A.A4.A7.2A.A3.A.2A8.A9.A9.A.A3.A7.A.A4.A
.A29.A.A8.A11.A6.A10.A.2A.A2.3A.3A2.A.2A.A9.A.A2.A11.2A46.A.A7.A10.A.
A2.2A12.3A2.2A13.2A2.2A.A$26.2A2.A8.2A.A.A9.A2.3A3.3A2.A6.2A4.A7.2A.A
4.A.A29.A2.A.6A12.A.4A.A15.A5.A5.A13.2A.2A62.A8.2A9.2A3.2A14.A2.2A13.
2A2.A.A$20.4A.A2.2A9.A.2A.A9.2A.A.A3.A.A.2A7.A.A.A11.A.A3.A31.A.A.A2.
A15.A4.A16.5A3.5A$20.A2.A.3A10.2A.A2.2A11.A7.A9.A2.2A12.A.4A33.A23.3A
23.A$24.A2.A8.A2.A.A.A13.2A5.2A9.2A16.A60.2A21.2A5.2A$25.2A9.2A4.2A
51.A81.A7.A$94.2A82.A5.A85.A$177.2A5.2A61.A9.A11.A.A10.2A9.2A10.2A4.
2A$246.A.A7.A.A10.A.A10.A.A3.A3.A.A10.A4.A.A15.2A$246.A.A7.A.A7.2A.A.
A.2A9.A2.A.A2.A9.2A.A.A2.A17.A$22.2A34.A14.A17.2A123.A27.2A2.2A5.2A2.
2A5.A.A.A.A.A8.2A.A.A.A.2A8.A.A.A.A.2A13.2A.A$23.A13.A.2A.2A13.A.A13.
3A13.3A.A42.A37.2A15.2A3.A18.A.A27.A.A2.A3.A2.A.A8.A.A.A7.2A2.A.A.A.A
.A2.2A7.A.A.A.A2.2A10.2A.A.2A$18.2A3.A.A11.2A.A.A.A11.A.A.A10.2A3.A
11.A4.A38.A2.A.A16.A18.A2.A14.A2.5A16.A.A26.A2.2A3.A3.2A2.A6.A5.A6.A.
2A.A5.A.2A.A6.A5.A.2A.A12.2A.A2.A$18.A2.2A.A.A15.A.3A7.3A.A.A9.A2.A.A
.A8.A2.2A.A.2A36.4A.A14.3A17.A.2A16.2A5.A14.2A.2A25.3A3.5A3.3A6.A5.A
8.A2.A5.A2.A8.A5.A2.A17.A.2A$19.2A.A.A.A8.5A.2A4.A5.A6.A.2A7.A.A3.A8.
2A.A2.A.A.A41.2A11.A19.A.A15.3A3.3A2.A9.A.A4.A29.11A9.A5.A8.A2.A5.A2.
A8.A5.A2.A12.A4.A$20.A.A4.2A5.A4.2A.5A6.4A3.A2.A6.2A6.2A9.A4.A.A33.5A
.A.A12.A2.3A12.3A3.3A10.A3.3A3.2A8.3A.2A.A.A28.A11.A8.A5.A6.A.2A.A5.A
.2A.A6.A5.A.2A.A9.2A3.2A$20.A4.A.A7.3A.A16.A.A2.A7.A3.5A2.A8.A.2A.A.
2A29.A.A4.A3.A11.2A.A2.A9.A.A3.3A3.A7.A2.3A4.A.A8.A4.A4.2A27.2A9.2A9.
A.A.A7.2A2.A.A.A.A.A2.2A7.A.A.A.A2.2A5.2A.A.A$19.2A.2A.A.A9.A.A.A.2A
8.3A3.2A9.2A5.A.A10.A7.A28.2A.A.A3.A.A.2A8.A2.A12.2A.3A4.A.A7.2A.A2.A
.A.A.A7.A2.2A3.2A3.A31.A.A12.A.A.A.A.A8.2A.A.A.A.2A8.A.A.A.A.2A8.A.2A
.A.A$21.A4.A11.2A.2A.A8.A2.3A13.4A.A.2A10.3A.3A32.A3.A4.A.A5.2A.A.A
16.A2.A.A.A.2A9.A7.A9.2A3.A3.A.A31.A.2A12.2A.A.A.2A9.A2.A.A2.A9.2A.A.
A2.A15.2A$21.A.3A29.A2.A13.A2.2A16.A.A34.A.A.5A8.A2.A.A.2A.A.2A8.A7.A
2.A8.8A11.A.A.3A.A.2A30.A18.A.A10.A.A3.A3.A.A10.A4.A.A$22.2A32.2A71.
2A18.A5.A.2A.A9.6A3.A28.A.2A3.A33.2A18.A.A10.2A9.2A10.2A4.2A$131.A.4A
13.5A21.3A12.A.2A14.A3.2A55.A$131.A.A2.A15.A19.2A2.A14.2A.A15.3A$132.
A39.2A38.A$28.2A14.2A$24.2A.A2.A12.A2.A13.A19.A18.A$24.A3.A.A10.A2.A.
A2.2A8.A.A.2A14.A.A16.A.A$26.2A.A11.2A.A.2A2.A7.A2.A.A.A2.A9.A2.3A13.
A.A.A30.2A16.2A35.2A.2A12.2A41.A10.A$22.4A.A19.A.A8.A.2A.A.4A10.2A3.A
10.3A.A.3A29.A17.A15.2A19.A.A.A12.A40.A.A8.A.A13.2A57.A$22.A5.A12.3A.
2A2.2A6.2A17.3A2.A.A2.A7.A9.A26.A17.A16.A2.A16.A5.A11.A41.A.A8.A.A13.
A.A11.2A2.2A18.2A17.3A$19.2A.A2.2A.A8.2A3.A3.A.A7.A3.2A3.2A8.A3.A.A.A
.2A7.4A3.4A24.7A11.7A12.A.A.A2.2A11.2A4.A.2A8.2A38.2A2.2A6.2A2.2A13.A
11.2A2.A.A18.A13.2A.A$19.A2.A.A4.2A6.A2.A3.A.A.A8.3A6.A7.A.2A5.A13.A.
A.A26.A7.A9.A7.A9.2A4.4A18.A.A12.A2.2A33.A.A10.A.A10.4A.2A15.A18.A.2A
9.A.A.A2.3A$21.A2.A2.2A2.A6.3A.A.A2.A11.A.2A3.A.A6.A3.5A8.4A.A.A.A.4A
20.A.2A.A3.A8.A.2A.A3.A8.A2.3A6.A8.5A.A.A2.A8.5A2.A32.A2.4A4.4A2.A8.A
3.A3.A8.6A.2A15.2A.A9.A2.A.A.A2.A$19.A.2A3.A.A.2A13.2A14.A5.2A7.2A14.
A2.2A.A.A.2A2.A20.A.A.A2.A.A.2A5.A.A.A2.A.A.2A6.A5.6A7.A5.A.A.A.A7.A
4.3A33.3A12.3A7.A.2A3.A.A7.A5.A3.A8.2A5.A.A10.3A4.A$18.A.A2.2A.2A2.A
9.4A17.A.A14.4A16.A.A27.A2.A.2A.A.2A6.A2.A.2A.A.2A7.3A.A.A10.A.2A.A.A
.A.2A6.A2.A42.3A6.3A10.A8.2A6.2A3.2A.A.A7.A.7A.2A6.A6.4A.A$18.A2.A3.A
4.A9.A2.A.2A15.2A14.A2.A16.A.A30.2A3.A12.A3.2A12.A.A.A.3A7.A6.A10.2A.
A.A.A.3A33.A2.8A2.A7.2A.A.A2.3A2.A11.A3.2A6.A3.A3.A.A7.6A5.2A$19.2A4.
A.3A14.A.A52.A32.A2.2A11.2A.A2.A14.A.A4.A7.6A14.A.A3.A2.A32.2A10.2A8.
A.A2.A5.2A5.7A.2A2.A6.3A.4A.A11.A.A.2A$26.2A101.3A18.A.2A14.2A.2A2.2A
27.A.A.A3.2A37.A2.A13.A2.A3.4A7.A6.A3.2A8.A.A3.A8.3A.A.A.A$129.A20.A
35.2A17.2A.2A39.3A2.3A12.A.A.A.A2.A9.A2.A.A18.A8.A4.A.A.A$149.2A35.2A
60.A8.A12.2A.2A12.2A2.2A19.2A7.2A2.2A.2A$248.2A6.2A$28.2A7.2A$25.2A2.
A8.3A12.2A2.2A.2A11.A2.A$22.2A2.A.A7.A4.A.2A8.A2.A.A.A.A10.4A8.2A.2A$
23.A.A2.2A6.3A2.A.A.A8.2A.A2.A.A8.2A4.2A7.A.A.A2.A63.A$20.A2.A.3A2.A
8.2A2.A.A14.A.2A6.A2.A.2A2.A5.A4.4A2.A40.A17.3A50.2A3.2A$20.4A4.A.A7.
A4.A.2A7.5A.A10.A.A4.A7.3A5.3A38.3A16.A31.A2.A7.2A10.A3.A55.2A11.2A$
27.A.A8.4A.A10.A7.2A6.2A.A2.A.2A10.4A40.A16.2A2.5A7.2A10.2A5.4A7.A9.A
7.A38.A9.2A3.A.A.2A6.A2.A.2A.2A19.A.A6.2A9.2A$19.A.2A4.A17.2A10.3A.A
2.A6.A.A4.A7.2A.A.A3.4A33.A2.5A12.3A2.A2.A6.A.A8.A.A9.2A3.A.A9.2A5.2A
34.2A.A.A8.A.A4.A.A7.A.A3.A.A.A14.2A.A.2A5.A2.A7.A2.A$19.2A.A4.A12.3A
.A2.A8.A2.A.A.A7.A.4A.A8.A.A.A.A.A2.A33.3A5.A9.A4.A3.A.A7.A5.A2.A9.A
3.A2.2A8.2A9.2A32.2A.A2.A9.A2.A.A.A8.A.2A.A.A.A14.2A.A8.3A2.2A.2A2.3A
$22.A.3A12.A2.A.A.A10.A.A.2A9.A4.A9.A.A.A43.A3.A.A7.A.3A.A4.A7.2A.2A.
A.A.2A8.3A2.A10.A2.2A.A.A.2A2.A35.3A6.A2.A.A4.2A9.A2.2A.A19.3A8.2A.A.
A.2A$18.A.2A.A16.A.A.2A12.A14.A2.A11.2A.2A37.6A4.A8.A7.3A9.A2.A3.A.A
14.A11.A.A2.A.A2.A.A26.2A2.5A10.3A5.A3.A8.A8.A10.5A3.A5.2A.A2.A.A2.A.
2A$18.2A.A2.A16.A30.2A2.2A49.A.A5.A.3A7.2A.2A2.2A.A11.A8.A9.3A2.A10.
2A.2A.A.A.2A.2A25.A2.A6.2A.A8.2A.2A.A.A8.2A.A.6A9.A6.2A7.A3.A3.A3.A$
22.2A103.2A.A.A.2A.A10.A3.A3.A13.8A10.A3.A2.2A9.A3.A.A3.A28.A.3A2.A.A
.2A7.A6.A.2A8.A.A16.A.2A.A.A8.A5.A5.A$130.A5.A11.A3.4A34.2A3.A.A8.A3.
A.A3.A27.2A.A2.A.A.A11.6A11.A2.A.A.A.2A6.2A.A4.A.A9.11A$130.A.4A13.3A
20.4A10.4A7.A9.3A3.3A32.2A2.A.A28.2A2.2A3.A.A5.2A.A.2A.A.2A$131.A21.A
18.A2.A10.A2.A7.2A53.2A14.2A20.A3.A9.A2.A14.7A$133.A17.3A53.2A.A.A.2A
52.2A16.A.2A.3A11.2A15.A2.A2.A$132.2A16.A56.A.2A.2A.A70.2A.A.A$150.2A
5$256.A$131.2A3.2A18.2A14.2A17.A.A12.2A39.2A6.A.A6.2A$132.A3.A18.A.A
13.A2.A14.3A.3A9.A2.A2.2A34.A.A5.A.A5.A.A$130.A7.A14.3A.A.2A9.A.2A14.
A7.A8.A.A.A2.A36.3A2.2A.2A2.3A$130.2A5.2A13.A3.A.A.A6.A2.A16.A.2A.A.A
.A7.2A.A2.2A36.A3.A7.A3.A$128.2A9.2A10.A.3A2.A7.A.A.A.4A11.A4.A.2A6.A
2.A39.A2.A.2A.7A.2A.A2.A$127.A2.2A.A.A.2A2.A6.A2.A2.A.A2.A7.2A.3A3.A
7.2A.A2.A.A9.2A3.5A32.A.A.A4.A5.A4.A.A.A$128.A4.A.A4.A6.A.A.A2.A2.A.A
9.A2.A2.A.A5.A.A.2A.A.A13.A.A2.A33.2A2.A.A.2A3.2A.A.A2.2A$127.2A.2A.A
.A.2A.2A6.2A2.A.A3.A10.A.A.A.A.A5.A3.A3.A14.A.A.A36.A.A3.A5.A3.A.A$
130.A2.A.A2.A11.A.A2.3A12.2A.A2.A7.3A.3A12.2A.A.2A37.A2.2A.7A.2A2.A$
130.A.A3.A.A11.A2.A.A18.2A10.A.A14.A2.A39.2A4.A7.A4.2A$131.A5.A11.2A
3.A50.2A45.A.2A.2A.A$253.A.A.A.A!
#C [[ Z 1 X -20 Y 0 GPS 4 AUTOSTART ]]
If you want to make a systematic collection of p4 rotors and keep it updated, that's one thing... but I'm afraid that hopeful p4 searching and posting results in ones and twos, without even bothering to check the existing collection, is pretty much guaranteed to just generate a lot of noise.

Re: Oscillator Discoveries Thread

Posted: September 25th, 2016, 11:27 pm
by Scorbie
Not a discovery, but worth noting that Rich's p16 allows the pond hassler mechanism at p16*2.

Code: Select all

x = 36, y = 16, rule = B3/S23
3b2o$2bo2bo$bo2bo9b2o$bo6bo5b2o15b2o$o2bo3bobo20bo2bo$b3o3b2o22bo2bo$
15bo4bo6bo6bo$b3o3b2o4b2obo3b2o4bobo3bo2bo$o2bo3bobo4b2o3bob2o4b2o3b3o
$bo6bo6bo4bo$bo2bo22b2o3b3o$2bo2bo20bobo3bo2bo$3b2o15b2o5bo6bo$20b2o9b
o2bo$30bo2bo$31b2o!

Re: Oscillator Discoveries Thread

Posted: October 28th, 2016, 11:10 pm
by toroidalet
P4:

Code: Select all

x = 15, y = 15, rule = B3/S23
6b3o$7bo2$6b3o$5bo3bo$4bo5bo$o2bo7bo2bo$2obo7bob2o$o2bo7bo2bo$4bo5bo$
5bo3bo$6b3o2$7bo$6b3o!
probably known.

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 6:10 am
by GUYTU6J
Can this "sidewick" be stabilized into an oscillator?

Code: Select all

x = 184, y = 8, rule = B3/S23
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$184o2$184o$o22bo4bo22bo
4bo22bo4bo22bo4bo22bo4bo22bo4bo$2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b2o
2bo2bo2bo3b2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b
2o2bo2bo2bo3b2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b2o$5o4b2ob2o3b6obo3b5o
4b2ob2o3b6obo3b5o4b2ob2o3b6obo3b5o4b2ob2o3b6obo3b5o4b2ob2o3b6obo3b5o4b
2ob2o3b6obo3b5o4b2ob2o$2o3bob2obo3bo2b2o6bo2b2o3bob2obo3bo2b2o6bo2b2o
3bob2obo3bo2b2o6bo2b2o3bob2obo3bo2b2o6bo2b2o3bob2obo3bo2b2o6bo2b2o3bob
2obo3bo2b2o6bo2b2o3bob2obo3bo!

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 8:38 am
by BlinkerSpawn
GUYTU6J wrote:Can this "sidewick" be stabilized into an oscillator?

Code: Select all

x = 184, y = 8, rule = B3/S23
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$184o2$184o$o22bo4bo22bo
4bo22bo4bo22bo4bo22bo4bo22bo4bo$2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b2o
2bo2bo2bo3b2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b
2o2bo2bo2bo3b2o3bo2b4o2b2o2bo2bo2bo3b2o3bo2b4o2b2o$5o4b2ob2o3b6obo3b5o
4b2ob2o3b6obo3b5o4b2ob2o3b6obo3b5o4b2ob2o3b6obo3b5o4b2ob2o3b6obo3b5o4b
2ob2o3b6obo3b5o4b2ob2o$2o3bob2obo3bo2b2o6bo2b2o3bob2obo3bo2b2o6bo2b2o
3bob2obo3bo2b2o6bo2b2o3bob2obo3bo2b2o6bo2b2o3bob2obo3bo2b2o6bo2b2o3bob
2obo3bo2b2o6bo2b2o3bob2obo3bo!
It's pretty intricate and p28, so it's out of our reach right now.

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 8:48 am
by dvgrn
GUYTU6J wrote:Can this "sidewick" be stabilized into an oscillator?
Yikes! Yes, with p28 oscillating fenceposts, it's certainly theoretically possible... but there's a long list of very difficult problems that we'll be able to solve easily, long before we'll have much hope of solving this one.

Things like "find the smallest true p14 gun" -- some oscillator-like thing that just happens to spit out a glider every 14 ticks - would be trivial by comparison. It's not just that period 28 is twice as difficult as period 14 -- it's more like each period N+1 is a hundred or a thousand times more difficult than period N.

So the support for this "sidewick" that's maybe most likely to be found would be in the form of an extensible c/9 spaceship. Every nine ticks the wick's pattern is offset by one cell from its T=0 state. c/9 searches are still very hard, but c/28 searches are gazillions of times harder -- at least with any search method that anyone has figured out so far.

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 8:52 am
by rahul25

Code: Select all

x = 51, y = 55, rule = B3/S23
5$26bo$25bobo$24bobobo$24bo3bo$25b3o2$25b3o$24bo3bo$24b5o2$24b5o$23bo
5bo$23b7o2$23b7o$22bo7bo$22b9o$26bo$22b3o3b3o$21bo3b3o3bo$22b3o3b3o$
26bo$22b4ob4o$18b2obo4bo4bob2o$9b2o3b2obobobob2obob2obobobob2o3b2o$8bo
2bobobobobobob2obo2bobobobobobobo2bo$7bobobobobobobobo3b2o4bobobobobob
obobo$8bo2bobobobobobob2obo2bobobobobobobo2bo$9b2o3b2obobobob2obob2obo
bobob2o3b2o$18b2obo4bo4bob2o$22b4ob4o$26bo$22b3o3b3o$21bo3b3o3bo$22b3o
3b3o$26bo$22b9o$21bo9bo$21bob7obo$22bo7bo$23b7o2$23b3ob3o$22bo2bobo2bo
$23bobobobo$24bo3bo!
p2

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 9:20 am
by BlinkerSpawn
rahul25 wrote:

Code: Select all

ridiculously large p2
p2
Y'know, if you ever need to cap off a line, there are several ways:

Code: Select all

x = 20, y = 14, rule = B3/S23
3bo$2bobo10bo$2bobo7bobobobo$b2ob2o6b2obob2o$3bo11bo$3bo11bo$2obob2o5b
2obob2o$2obo2bo5b2obo2bo$2b2o10b2o$2obo2bo5b2obo2bo$2obob2o5b2obob2o$
3bo11bo$2obob2o4bob2ob2obo$ob2ob2o4b2obobob2o!

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 2:02 pm
by rahul25
Is this a new oscillator ?

Re: Oscillator Discoveries Thread

Posted: October 29th, 2016, 9:14 pm
by BlinkerSpawn
rahul25 wrote:Is this a new oscillator ?
*Technically* yes, but the rotor (the three (or six) cells that flicker) has been known for quite some time.
Here's the smallest example population-wise:

Code: Select all

x = 9, y = 9, rule = B3/S23
3bo$b3o$o$6o$6bo$2bo3bo$2b2obo$6b3o$8bo!

Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 12:51 am
by rahul25

Code: Select all

x = 7, y = 7, rule = B3/S23
$3b2o$2bobo$bo$b2o2bo$4b2o!

I'm trying to make p2 , but it seems impossible, anyone would like to help ?

Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 1:12 am
by Kazyan
It's not possible. Observe:

Code: Select all

x = 6, y = 6, rule = LifeHistory
2.2AB$.ABAB$ABEBDB$2ABEAB$2BD2AB$2.4B!
None of the blue cells or red cells can be turned on at generation 0, because they would kill one of the green cells in generation 2. However, the red cells come on at generation 1 without something to suppress them. The only way to prevent this is to turn on these:

Code: Select all

x = 9, y = 9, rule = LifeHistory
2.2A.2A$.A.A.C.A$A.A4.A$2A.2A2.2A$3.2A$AC$A$.3A$3.A!
...but that just causes the red cells to turn on at generation 2 instead. So there are no options.

Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 2:01 am
by rahul25
Maybe , instead of using still life , with any p2 oscillator or glider collision ,is it possible ?

Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 7:38 am
by rahul25

Code: Select all

x = 53, y = 35, rule = B3/S23
4$8bo32bo$6bobo30bobo$5bo4bo32bo$5b5o28b6o$11bobo22bo$7bo5bo20bobo3b2o
$7b2o6bobo14bo9bo$7b2o8bo12bobo6bo$8bo10bobo6bo11b2o$21bo4bobo$23b2o$
25bo$23bo$24b2o$20bobo4bo$7b2o11bo6bobo10bo$9bo6bobo12bo8b2o$6bo9bo14b
obo6b2o$7b2o3bobo20bo5bo$12bo22bobo$5b6o28b5o$5bo32bo4bo$7bobo30bobo$
7bo32bo!

Is this new one ?

Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 8:44 am
by rahul25

Code: Select all

x = 32, y = 47, rule = B3/S23
3$6b2o14b2o$5bobo11bo2bo$7bob3o5bo2bobob2o$4b2obo2b3o4bo2bobo$7bo10bo
3bobo$6bo15bo$8bo$20b2o$8b2o$20bo$10bo$18b2o$10b2o$18bo$12bo$16b2o$12b
2o$16bo$14bo$14bo$16bo$12b2o$16b2o$12bo$18bo$10b2o$18b2o$10bo$20bo$8b
2o$20b2o$8bo$6bo15bo$7bo10bo3bobo$4b2obo2b3o4bo2bobo$7bob3o5bo2bobob2o
$5bobo11bo2bo$6b2o14b2o!


Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 10:32 am
by dvgrn
rahul25 wrote:

Code: Select all

crossing P2 barber poles
Is this new one ?

Code: Select all

[another P2 barber pole crossing]
I seem to recall that you'll find a lot of these in the p2 section of Koenig's Object Database. Probably all the likely simple junctions have been enumerated before, starting several decades ago, but it would take some digging to be absolutely sure. Another type of barberpole connection shows up under the 106-bit page, but not the exact pattern you asked about. The 88-bit version doesn't appear either. But really that only means that that particular pattern didn't happen to get added to the database, not that no one has ever found that junction before.

Some years ago Nicolay Beluchenko also wrote a series of articles under the title "Oscichemistry". The Java applets have since been suppressed as a security hazard, so the articles should be re-done with embedded LifeViewers these days -- but you can still copy out the bitmap images and paste them into Golly if you're interested. Here's a sample from oscichem2.html, with another kind of barberpole junction:

Code: Select all

x = 161, y = 56, rule = B3/S23
110b2o2bo5b2o2bo5b2o2bo5b2o2bo5b2o2bo$110bobobo5bobobo5bobobo5bobobo5b
obobo$55bo7bo7bo7bo34bo9bo9bo9bo9bo$48b2o3bobo5bobo5bobo5bobo32bo9bo9b
o9bo9bo$48bo8bo7bo7bo7bo2bo25bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$44b3obo3b5o
3b5o3b5o3b5o3b2o24bo4b2o3bo4b2o3bo4b2o3bo4b2o3bo4b2o2b2o$43b3o2b2o7bo
7bo7bo7bo2b2o19b3obo9bo9bo9bo9bo10bo$48bo4bobo5bobo5bobo5bobo5bo31bo9b
o9bo9bo9bobo$49bo3bo3bo3bo3bo3bo3bo3bo3bo24bobo9bo9bo9bo9bo$3bo19bo19b
obobo3bo3bo3bo3bo3bo3bo3bo3bo3b5o17bo10bo9bo9bo9bo9bob3o$bobo17bobo20b
o5bo3bo3bo3bo3bo3bo3bo3bo3bobo2bo17b2o2b2o4bo3b2o4bo3b2o4bo3b2o4bo3b2o
4bo$5bo14bo4bo15b2obobobo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo5bo3bo5bo3bo5b
o3bo5bo3bo$6o14b5o19bo4bo3bo3bo3bo3bo3bo3bo3bo3bo31bo9bo9bo9bo9bo$25bo
16bobob2o3bo3bo3bo3bo3bo3bo3bo3bo5bo26bo9bo9bo9bo9bo$b3o18b2o20bo5bo3b
o3bo3bo3bo3bo3bo3bo3b2obobo22bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$3bo18bobo
23bo3bo3bo3bo3bo3bo3bo3bo3bo4bo24bo4b2o3bo4b2o3bo4b2o3bo4b2o3bo4b2o2b
2o$2bo46bo3bo3bo3bo3bo3bo3bo3bo3bobobob2o16b3obo9bo9bo9bo9bo10bo$22bo
20bobobo3bo3bo3bo3bo3bo3bo3bo3bo5bo31bo9bo9bo9bo9bobo$3b2o16bo22bo5bo
3bo3bo3bo3bo3bo3bo3bo3bobobo19bobo9bo9bo9bo9bo$5bo15bo19b2obobobo3bo3b
o3bo3bo3bo3bo3bo3bo24bo10bo9bo9bo9bo9bob3o$19bo24bo4bo3bo3bo3bo3bo3bo
3bo3bo3bo23b2o2b2o4bo3b2o4bo3b2o4bo3b2o4bo3b2o4bo$6b2o10bo23bobob2o3bo
3bo3bo3bo3bo3bo3bo3bo5bo25bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$8bo9bo25bo5bo
3bo3bo3bo3bo3bo3bo3bo3b2obobo25bo9bo9bo9bo9bo$16bo31bo3bo3bo3bo3bo3bo
3bo3bo3bo4bo26bo9bo9bo9bo9bo$9b2o4bo33bo3bo3bo3bo3bo3bo3bo3bo3bobobob
2o21bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$11bo3bo27bobobo3bo3bo3bo3bo3bo3bo3bo
3bo5bo24bo4b2o3bo4b2o3bo4b2o3bo4b2o3bo4b2o2b2o$13bo30bo5bo3bo3bo3bo3bo
3bo3bo3bo3bobobo18b3obo9bo9bo9bo9bo10bo$12bo28b2obobobo3bo3bo3bo3bo3bo
3bo3bo3bo36bo9bo9bo9bo9bobo$10bo3bo29bo4bo3bo3bo3bo3bo3bo3bo3bo3bo24bo
bo9bo9bo9bo9bo$10bo4b2o25bobob2o3bo3bo3bo3bo3bo3bo3bo3bo5bo19bo10bo9bo
9bo9bo9bob3o$9bo34bo5bo3bo3bo3bo3bo3bo3bo3bo3b2obobo17b2o2b2o4bo3b2o4b
o3b2o4bo3b2o4bo3b2o4bo$7bo9bo30bo3bo3bo3bo3bo3bo3bo3bo3bo4bo25bo3bo5bo
3bo5bo3bo5bo3bo5bo3bo$7bo10b2o29bo3bo3bo3bo3bo3bo3bo3bo3bobobob2o24bo
9bo9bo9bo9bo$6bo36bobobo3bo3bo3bo3bo3bo3bo3bo3bo5bo26bo9bo9bo9bo9bo$4b
o15bo23bo5bo3bo3bo3bo3bo3bo3bo3bo3bobobo23bo3bo5bo3bo5bo3bo5bo3bo5bo3b
o$4bo16b2o18b2obobobo3bo3bo3bo3bo3bo3bo3bo3bo29bo4b2o3bo4b2o3bo4b2o3bo
4b2o3bo4b2o2b2o$3bo40bo4bo3bo3bo3bo3bo3bo3bo3bo3bo23b3obo9bo9bo9bo9bo
10bo$23bo18bobob2o3bo3bo3bo3bo3bo3bo3bo3bo5bo31bo9bo9bo9bo9bobo$bobo
18bo21bo5bo3bo3bo3bo3bo3bo3bo3bo3b2obobo18bobo9bo9bo9bo9bo$2b2o18b3o
23bo3bo3bo3bo3bo3bo3bo3bo3bo4bo19bo10bo9bo9bo9bo9bob3o$o48bo3bo3bo3bo
3bo3bo3bo3bo3bobobob2o16b2o2b2o4bo3b2o4bo3b2o4bo3b2o4bo3b2o4bo$b5o14b
6o16bo2bobo3bo3bo3bo3bo3bo3bo3bo3bo5bo25bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$
o4bo14bo21b5o3bo3bo3bo3bo3bo3bo3bo3bo3bobobo26bo9bo9bo9bo9bo$2bobo17bo
bo23bo3bo3bo3bo3bo3bo3bo3bo3bo31bo9bo9bo9bo9bo$2bo19bo21bo5bobo5bobo5b
obo5bobo4bo28bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$44b2o2bo7bo7bo7bo7b2o2b3o
23bo4b2o3bo4b2o3bo4b2o3bo4b2o3bo4b2o2b2o$44b2o3b5o3b5o3b5o3b5o3bob3o
19b3obo9bo9bo9bo9bo10bo$45bo2bo7bo7bo7bo8bo35bo9bo9bo9bo9bobo$50bobo5b
obo5bobo5bobo3b2o24bobo9bo9bo9bo9bo$50bo7bo7bo7bo30bo10bo9bo9bo9bo9bob
3o$105b2o2b2o4bo3b2o4bo3b2o4bo3b2o4bo3b2o4bo$111bo3bo5bo3bo5bo3bo5bo3b
o5bo3bo$113bo9bo9bo9bo9bo$111bo9bo9bo9bo9bo$111bobobo5bobobo5bobobo5bo
bobo5bobobo$111bo2b2o5bo2b2o5bo2b2o5bo2b2o5bo2b2o!

Re: Oscillator Discoveries Thread

Posted: October 30th, 2016, 1:27 pm
by drc
someone found this in a soup, not sure if it's new or not:

Code: Select all

x = 32, y = 32, rule = B3/S23
bobbooobobboooobboooobbobooobbob$
obooobobbbbbobobbobobbbbbobooobo$
boboobbbbbbobbobbobbobbbbbboobob$
booobobobbooboobbooboobbobobooob$
oooboboobooobbbbbbbboooboobobooo$
obbobobbbbboboooooobobbbbbobobbo$
oobbobobooobbbobbobbbooobobobboo$
bbboobbbooobbbboobbbbooobbboobbb$
obbbbbooobbboboooobobbbooobbbbbo$
bbbboboobbbboobooboobbbboobobbbb$
bbbooboobboobobooboboobbooboobbb$
oboooobbbboooobooboooobbbboooobo$
oobbbbbbooboobbbbbbooboobbbbbboo$
obbobobbbooobbboobbbooobbbobobbo$
ooooboobobbbbbobbobbbbbobooboooo$
bbbbboboooooboboobobooooobobbbbb$
bbbbboboooooboboobobooooobobbbbb$
ooooboobobbbbbobbobbbbbobooboooo$
obbobobbbooobbboobbbooobbbobobbo$
oobbbbbbooboobbbbbbooboobbbbbboo$
oboooobbbboooobooboooobbbboooobo$
bbbooboobboobobooboboobbooboobbb$
bbbboboobbbboobooboobbbboobobbbb$
obbbbbooobbboboooobobbbooobbbbbo$
bbboobbbooobbbboobbbbooobbboobbb$
oobbobobooobbbobbobbbooobobobboo$
obbobobbbbboboooooobobbbbbobobbo$
oooboboobooobbbbbbbboooboobobooo$
booobobobbooboobbooboobbobobooob$
boboobbbbbbobbobbobbobbbbbboobob$
obooobobbbbbobobbobobbbbbobooobo$
bobbooobobboooobboooobbobooobbob!

Re: Oscillator Discoveries Thread

Posted: November 1st, 2016, 8:14 pm
by Scorbie
Trivial optimization of the p22 lumps of muck hassler

Code: Select all

x = 29, y = 31, rule = B3/S23
17bo7b2o$13bo2bo8bo$7b2o4bo4bo4bobo$6bo2bo13b2o$6b2ob2o8bo$7bo8b2ob2o$
2b2o13bo2bo$bobo4bo4bo4b2o$bo8bo2bo$2o7bo4$13bo8b2o$6bo5b2o7bobo$5bobo
3bo10bo$5b2o5bobo$12bobo2$8b2o$7bo2bo16b2o$7bob2o16bo$8b2o2bo5b3o4bobo
$13bo4bobo4b2o$9bo3bo3bo3bo$9bo3bo3bo3bo$4b2o4bobo4bo$3bobo4b3o5bo2b2o
$3bo16b2obo$2b2o16bo2bo$21b2o!

Re: Oscillator Discoveries Thread

Posted: November 1st, 2016, 11:04 pm
by BlinkerSpawn
Scorbie wrote:Trivial optimization of the p22 lumps of muck hassler

Code: Select all

p22
The boats can be replaced with blocks:

Code: Select all

x = 29, y = 31, rule = B3/S23
17bo7b2o$13bo2bo8bo$7b2o4bo4bo4bobo$6bo2bo13b2o$6b2ob2o8bo$7bo8b2ob2o$
2b2o13bo2bo$bobo4bo4bo4b2o$bo8bo2bo$2o7bo4$13bo$6b2o4b2o7b2o$6b2o3bo9b
2o$12bobo$12bobo2$8b2o$7bo2bo16b2o$7bob2o16bo$8b2o2bo5b3o4bobo$13bo4bo
bo4b2o$9bo3bo3bo3bo$9bo3bo3bo3bo$4b2o4bobo4bo$3bobo4b3o5bo2b2o$3bo16b
2obo$2b2o16bo2bo$21b2o!

Re: Oscillator Discoveries Thread

Posted: November 10th, 2016, 1:16 am
by toroidalet
I think this p4 is known but I can't find it:

Code: Select all

x = 15, y = 10, rule = B3/S23
b2o9b2o$2bo9bo$2bob2o3b2obo$3bo2bobo2bo$4b3ob3o2$2b2o7b2o$3bo7bo$3o9b
3o$o13bo!

Re: Oscillator Discoveries Thread

Posted: November 10th, 2016, 3:34 am
by mniemiec
toroidalet wrote:I think this p4 is known but I can't find it:

Code: Select all

x = 15, y = 10, rule = B3/S23
b2o9b2o$2bo9bo$2bob2o3b2obo$3bo2bobo2bo$4b3ob3o2$2b2o7b2o$3bo7bo$3o9b
3o$o13bo!
I had a 22 glider synthesis of this as early as 1999 (see: http://codercontest.com/mniemiec/p4.htm#p4-lg). I'm sure the oscillator was known much earlier than that. Here are a couple of other ways of stabilizing it:

Code: Select all

x = 35, y = 11, rule = B3/S23
boo18boo$bbo19bo11bo$bboboo16boboo6b3o$3bobboboo13bobbo4bo$6bobobbo14b
o5bo$bbo3boboboo10bo3bobo3bo$bbo5bo13bo5bo$3bo3boo14bo4bobbo$3o17b3o6b
oobo$o19bo11bo$32boo!