Star Wars Rule

For discussion of other cellular automata.
knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » May 25th, 2011, 7:05 am

This programmable gun uses a signal loop (more compact than a glider loop):

Code: Select all

x = 28, y = 11, rule = 345/2/4
14.A$13.3A6.A$14.A6.3A$22.A$26.A$25.3A$26.A$3.CBA9.CBA$.A2.A2.A2.A2.A
2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!
The memory loop is undisturbed as gliders are created from the signals as they pass by.
Minimum spacing for the signals is p12 as shown.

A slight variant produces two gliders at a time:

Code: Select all

x = 28, y = 11, rule = 345/2/4
15.A$14.3A5.A$15.A5.3A$22.A$26.A$25.3A$26.A$3.CBA9.CBA$.A2.A2.A2.A2.A
2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!
Here signals are extracted instead of gliders, making a true signal splitter:

Code: Select all

x = 34, y = 17, rule = 345/2/4
15.A$14.3A15.A$15.A15.3A$15.A16.A$14.2A16.A$15.A16.2A$15.A16.A$14.3A
5.A9.A$15.A5.3A8.2A$22.A9.A$26.A5.A$25.9A$26.A2.A2.A$3.CBA9.CBA$.A2.A
2.A2.A2.A2.A2.A2.A$24A$.A2.A2.A2.A2.A2.A2.A2.A!
Without the loop, convert a signal to/from a glider with more variants:

Code: Select all

x = 62, y = 16, rule = 345/2/4
56.A$55.3A$48.A7.A$47.3A6.A$15.A32.A6.3A$14.3A39.A$15.A6.A37.A$15.A5.
3A35.3A$14.3A5.A37.A$15.A10.A10.CBA$25.3A7.A2.A2.A2.A2.A2.A2.A2.A$26.
A7.24A$3.CBA29.A20.A$.A2.A2.A2.A2.A2.A2.A2.A$24A$.A20.A!

User avatar
12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Re: Star Wars Rule

Post by 12Glider » June 20th, 2011, 3:14 pm

Arc ladder

Code: Select all

x = 88, y = 88, rule = 345/2/4
2.A$.3A$2A.2A$.2A.2A$2.2A.2A$3.2A.2A$4.2A.2A$5.2A.2A$6.2A.2A$7.2A.2A$
8.2A.2A$9.2A.2A$10.2A.2A$11.2A.2A$12.2A.2A$13.2A.2A$14.2A.2A$15.2A.2A
$16.2A.2A$17.2A.2A$18.2A.2A$19.2A.2A$20.2A.2A$21.2A.2A$22.2A.2A$23.2A
.2A$24.2A.2A$25.2A.2A$26.2A.2A$27.2A.2A$28.2A.2A$29.2A.2A$30.2A.2A$
31.2A.2A$32.2A.2A$33.2A.2A$34.2A.2A$35.2A.2A$36.2A.2A$37.2A.2A$38.2A.
2A$39.2A.2A$40.2A.2A$41.2A.2A$42.2A.2A$43.2A.2A$44.2A.2A$45.2A.2A$46.
2A.2A$47.2A.2A$48.2A.2A$49.2A.2A$50.2A.2A$51.2A.2A$52.2A.2A$53.2A.2A$
54.2A.2A$55.2A.2A$56.2A.2A$57.2A.2A$58.2A.2A$59.2A.2A$60.2A.2A$61.2A.
2A$62.2A.2A$63.2A.3A.AB13.A$64.2A.A2.A.C11.BCB$65.2A.4A13.C$65.A.A.A.
A12.3A$67.2A.2A.A.B7.BC2B$65.3A.A.4A.C5.C2.A.C$65.B.4A.A.2A5.B.4A$66.
C3.2A.A.2ABAC2.A2.A.A$69.2A.A.A.A2.5A2.B$70.2A.3A2.2A.A.2AC$69.B.2A.A
.2A.2A.A$70.C.2A.A.3A.2AB$72.B2.2A.A.2A$72.A.A.2A.2A.2A.B$72.C4A.A.2A
.2AC$73.A.A.4A.A.A$71.B.2A.2A.A.2A.A$70.C.2A.2A.A.2A.3A.C$69.B.A.2A.B
.2A2.A.A$66.B.AC.A2.A4.5A.C$65.A2CAB3A.C3.BC2.A.CB$66.B.AB.A.B$70.C.A
9.C!
Image

Why hasn't a glider exploded yet?

cloudy197
Posts: 21
Joined: April 16th, 2011, 10:35 pm

Re: Star Wars Rule

Post by cloudy197 » June 22nd, 2011, 10:26 am

12Glider wrote:Arc ladder

Code: Select all

x = 88, y = 88, rule = 345/2/4
2.A$.3A$2A.2A$.2A.2A$2.2A.2A$3.2A.2A$4.2A.2A$5.2A.2A$6.2A.2A$7.2A.2A$
8.2A.2A$9.2A.2A$10.2A.2A$11.2A.2A$12.2A.2A$13.2A.2A$14.2A.2A$15.2A.2A
$16.2A.2A$17.2A.2A$18.2A.2A$19.2A.2A$20.2A.2A$21.2A.2A$22.2A.2A$23.2A
.2A$24.2A.2A$25.2A.2A$26.2A.2A$27.2A.2A$28.2A.2A$29.2A.2A$30.2A.2A$
31.2A.2A$32.2A.2A$33.2A.2A$34.2A.2A$35.2A.2A$36.2A.2A$37.2A.2A$38.2A.
2A$39.2A.2A$40.2A.2A$41.2A.2A$42.2A.2A$43.2A.2A$44.2A.2A$45.2A.2A$46.
2A.2A$47.2A.2A$48.2A.2A$49.2A.2A$50.2A.2A$51.2A.2A$52.2A.2A$53.2A.2A$
54.2A.2A$55.2A.2A$56.2A.2A$57.2A.2A$58.2A.2A$59.2A.2A$60.2A.2A$61.2A.
2A$62.2A.2A$63.2A.3A.AB13.A$64.2A.A2.A.C11.BCB$65.2A.4A13.C$65.A.A.A.
A12.3A$67.2A.2A.A.B7.BC2B$65.3A.A.4A.C5.C2.A.C$65.B.4A.A.2A5.B.4A$66.
C3.2A.A.2ABAC2.A2.A.A$69.2A.A.A.A2.5A2.B$70.2A.3A2.2A.A.2AC$69.B.2A.A
.2A.2A.A$70.C.2A.A.3A.2AB$72.B2.2A.A.2A$72.A.A.2A.2A.2A.B$72.C4A.A.2A
.2AC$73.A.A.4A.A.A$71.B.2A.2A.A.2A.A$70.C.2A.2A.A.2A.3A.C$69.B.A.2A.B
.2A2.A.A$66.B.AC.A2.A4.5A.C$65.A2CAB3A.C3.BC2.A.CB$66.B.AB.A.B$70.C.A
9.C!
Smaller one (and also a plus used to make this a gun):

Code: Select all

x = 77, y = 84, rule = 345/2/4
10.A$9.3A$10.A5$2.A$.3A$2A.2A$.2A.2A$2.2A.2A$3.2A.2A$4.2A.2A$5.2A.2A$
6.2A.2A$7.2A.2A$8.2A.2A$9.2A.2A$10.2A.2A$11.2A.2A$12.2A.2A$13.2A.2A$
14.2A.2A$15.2A.2A$16.2A.2A$17.2A.2A$18.2A.2A$19.2A.2A$20.2A.2A$21.2A.
2A$22.2A.2A$23.2A.2A$24.2A.2A$25.2A.2A$26.2A.2A$27.2A.2A$28.2A.2A$29.
2A.2A$30.2A.2A$31.2A.2A$32.2A.2A$33.2A.2A$34.2A.2A$35.2A.2A$36.2A.2A$
37.2A.2A$38.2A.2A$39.2A.2A$40.2A.2A$41.2A.2A$42.2A.2A$43.2A.2A$44.2A.
2A$45.2A.2A$46.2A.2A$47.2A.2A$48.2A.2A$49.2A.2A$50.2A.2A$51.2A.2A$52.
2A.2A$53.2A.2A$54.2A.2A$55.2A.2A$56.2A.2A$57.2A.2A$58.2A.2A$59.2A.2A$
60.2A.2A$61.2A.2A$62.2A.2A$63.2A.3A.AB$64.2A.A2.A.C$65.2A.4A$65.A.A.A
.A$67.2A.2A.A.B$65.3A.A.4A.C$65.B.4A2.A$66.C3.A.A$69.3A$70.A$69.B$70.
C!

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: Star Wars Rule

Post by flipper77 » June 25th, 2011, 5:30 am

After a lot of work and searching, I found the most possible, useful and basic reaction that could create the glider salvo that could create long crystals made of plusses:

Code: Select all

x = 39, y = 46, rule = 345/2/4
23.2C$23.2B$23.2A14$2.A$.3A.A$2A.2AB$.3A.C$2.A$12.2C23.A$12.2B22.3A$
12.2A4.ABC16.A$18.ABC2$12.2A$12.2B$12.2C15$16.2A$16.2B$16.2C!
All I need to finally be able to make this reaction completely out gliders, is a glider construction for the large plus, which isn't too far out of reach. I'd like to see improvements in this as I further my searches.

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: Star Wars Rule

Post by flipper77 » June 25th, 2011, 10:03 pm

After some more searching, I've found a much more basic, but messier, but I believe there's a chance to clean it up:

Code: Select all

x = 25, y = 22, rule = 345/2/4
.A$3A$.A6$18.CBA$18.CBA$17.CBA$16.CBA$21.2A$20.A2BA$20.B2CB$19.AC2.CA
$19.B4.B$19.C4.C2$19.2A$19.2B$19.2C!
In the meantime, I'll begin to do more to improve on this.

cloudy197
Posts: 21
Joined: April 16th, 2011, 10:35 pm

Re: Star Wars Rule

Post by cloudy197 » June 26th, 2011, 10:33 am

flipper77 wrote:After some more searching, I've found a much more basic, but messier, but I believe there's a chance to clean it up:

Code: Select all

x = 25, y = 22, rule = 345/2/4
.A$3A$.A6$18.CBA$18.CBA$17.CBA$16.CBA$21.2A$20.A2BA$20.B2CB$19.AC2.CA
$19.B4.B$19.C4.C2$19.2A$19.2B$19.2C!
In the meantime, I'll begin to do more to improve on this.
That plus some cleanup gliders:

Code: Select all

x = 125, y = 253, rule = 345/2/4
118.2C$118.2B$118.2A30$117.2C$117.2B$117.2A85$101.A$100.3A$101.A4$CBA
$CBA$118.CBA$118.CBA$117.CBA$116.CBA$121.2A$59.CBA58.A2BA$59.CBA58.B
2CB$119.AC2.CA$119.B4.B$119.C4.C2$119.2A$119.2B$45.CBA71.2C$45.CBA41$
117.2A$117.2B$117.2C20$115.2A$115.2B$115.2C44$115.2A$115.2B$115.2C!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » July 3rd, 2011, 1:46 pm

flipper77 wrote:All I need to finally be able to make this reaction completely out gliders, is a glider construction for the large plus
To make a large plus with gliders:

Code: Select all

x = 41, y = 50, rule = 345/2/4
39.2C$26.CBA10.2B$26.CBA10.2A$5.2C$5.2B$.2C2.2A25.2C$.2B29.2B$.2A29.
2A3$CBA28.CBA$CBA28.CBA19$8.CBA$9.CBA9.CBA$9.CBA9.CBA$20.CBA$25.2A$
24.A2B$24.B2C$24.C9$25.2A$25.2BA$25.2CB$27.C!
Found by accident, there is probably a better way, better than 12 gliders.
The four-glider synthesis does not require a "tight salvo" like the three-glider synthesis does.

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » August 7th, 2011, 4:25 pm

A single glider is converted to any length p24 stream using a stable pattern:

Code: Select all

x = 47, y = 108, rule = 345/2/4
43.A$42.3A$41.2A.2A$42.2A.2A$43.3A$44.A$29.A$28.3A$27.2A.2A$26.2A.2A$
27.3A$28.A3$12.A2.A$11.6A$12.A3.2A$12.A4.2A$11.2A5.2A$12.2A5.2A8.A$
13.2A5.2A6.3A$14.2A5.2A6.A$15.2A5.2A$16.2A5.2A$17.2A5.2A13.A$18.2A5.
2A11.3A$19.2A5.2A9.2A.2A$CBA17.2A5.2A9.2A.2A$CBA18.2A5.2A9.3A$22.2A5.
2A9.A$23.2A4.A$24.2A3.A$25.6A$26.A2.A45$34.3C$36.C$34.3C$27.A6.C$26.A
.A5.3C$27.A7$34.3C$36.C$35.2C$27.A8.C$26.3A5.3C$27.A8$34.C.C$34.C.C$
27.A6.3C$26.A.A7.C$27.A8.C2.C.C.C!
A backrake is created and destroyed, but luckily the original pattern is restored, for repeated use.

A stream of three gliders is launched on the same track as the single glider input in this case. To increase the number of gliders by n, move the southernmost plus further south by 12n cells. Ghosted pluses show positions for a salvo of two or four, but any finite number of gliders is possible. Even the positions for zero and one will work, though zero is just an eater and one is a simple delay. The 90 degree reflector here is one of my favorite Star Wars 90 degree stable reflectors (and new to this forum, I think) although recovery time is slow. Of course, the three reflectors are not really necessary, unless you want the output on the same track as the input.

EDIT:
Here is a salvo gun made from the mechanism:

Code: Select all

x = 104, y = 47, rule = 345/2/4
8.A$7.3A73.A$8.A73.3A$5.A.2A74.A$4.6A73.2A.A$5.A2.A73.6A$2.A.2A.2A74.
A2.A$.9A73.2A.2A.A$2.A2.A2.A73.9A$83.A2.A2.A4$89.2C$89.2B$89.2A9$99.A
2.A$98.6A$97.2A3.A$96.2A4.A$95.2A5.2A$.A2.A2.A86.2A5.2A$9A84.2A5.2A$.
A.2A.2A84.2A5.2A$4.A2.A83.2A5.2A$3.6A81.2A5.2A$4.A.2A81.2A5.2A$7.A80.
2A5.2A$6.3A78.2A5.2A$7.A78.2A5.2A$85.2A5.2A$84.2A5.2A$85.A4.2A$20.A2.
A61.A3.2A6.A$19.6A59.6A6.3A$20.A2.A61.A2.A8.A$20.A2.A$19.6A$20.A2.A!
Stretch it vertically to increase the overall period, stretch it horizontally for larger salvos.

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » September 5th, 2011, 12:42 pm

Synthesize a large plus with 6 gliders:

Code: Select all

x = 65, y = 45, rule = 345/2/4
10.2C48.2C$10.2B48.2B$10.2A48.2A7$5.2C48.2C$5.2B48.2B$5.2A48.2A7$5.2A
48.2A$5.2B48.2B$5.2C48.2C$2A48.2A$2B48.2B$2C48.2C$13.2A48.2A$13.2B48.
2B$13.2C48.2C10$61.2A$61.2B$61.2C4$11.2A$11.2B$11.2C!
Puffer for large plus:

Code: Select all

x = 38, y = 32, rule = 345/2/4
15.BC$14.C7.C2.AC$23.CB.B2.A$23.AC2.5A$18.C2.BC.B.2AC3A$17.B.B.A.C.A
2.A.A$17.AC2A.B.B2.BC$18.B.ACB2.C4.C$21.A.2A5.ABA.A$9.C10.CBCBCB3.BCA
.B.B$19.AB2.B2.C2.AC.2AC3A$20.BCA2.2A2CABC.AC3A$21.A.3A.2A4.B.A$15.C
4.AB.3A.2A4.B.A$16.BA.2ACB2.2A2CABC.AC3A$17.CBCB2.C2.C2.AC.2AC3A$20.B
A3.BC2.BCA.B.B$18.2CA9.ABA.A$18.2B10.C$18.2A8.CB$28.2A$27.ABA$25.ABCA
CB$25.BC.B.CA$23.AC2.A3.BA.A$19.A3.B4A2.C2.B.B$2.A15.A.B4.A.2A2.3AC3A
$.3A13.3AC4.2ACA.BA.5A$2A.2A11.2A.A5.C.B.CA.A2.A$.3A11.A.2A13.C$2.A
13.BC.C$19.CB2.C!

cloudy197
Posts: 21
Joined: April 16th, 2011, 10:35 pm

Re: Star Wars Rule

Post by cloudy197 » September 7th, 2011, 7:01 am

flipper77 wrote:After a lot of work and searching, I found the most possible, useful and basic reaction that could create the glider salvo that could create long crystals made of plusses:

Code: Select all

x = 39, y = 46, rule = 345/2/4
23.2C$23.2B$23.2A14$2.A$.3A.A$2A.2AB$.3A.C$2.A$12.2C23.A$12.2B22.3A$
12.2A4.ABC16.A$18.ABC2$12.2A$12.2B$12.2C15$16.2A$16.2B$16.2C!
All I need to finally be able to make this reaction completely out gliders, is a glider construction for the large plus, which isn't too far out of reach. I'd like to see improvements in this as I further my searches.
Combining things in the previous posts, I created that reaction completely out of 17 gliders:

Code: Select all

x = 69, y = 183, rule = 345/2/4
26.2C$26.2B$26.2A10$28.2C$28.2B$28.2A19$46.2C$46.2B$46.2A19$35.2C$35.
2B$35.2A4$47.2C$47.2B$47.2A$43.2C$43.2B$43.2A11$29.2C$29.2B$29.2A7$
24.2C$24.2B$24.2A6$67.A$24.2A40.3A$24.2B41.A$24.2C$19.2A$19.2B$19.2C$
32.2A$32.2B$32.2C16$30.2A$30.2B$30.2C9$46.2A$46.2B$46.2C6$35.2A$35.2B
$35.2C15$39.2A$39.2B$39.2C12$2A$2B$2C10$25.2A$25.2B$25.2C!

User avatar
12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Re: Star Wars Rule

Post by 12Glider » September 9th, 2011, 7:29 am

The p5 oscillator can be chained once and still retain its period.
p5, chained once:

Code: Select all

x = 8, y = 5, rule = 345/2/4
5.A$.A3.3A$.6A$3A3.A$2.A!
Chaining it more than once changes its period to 20.
p20 (p5 chained twice):

Code: Select all

x = 12, y = 6, rule = 345/2/4
9.A$5.A3.3A$.A3.6A$.6A3.A$3A3.A$2.A!
Image

Why hasn't a glider exploded yet?

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » September 11th, 2011, 10:18 pm

A small "plus" puffer, perhaps the smallest:

Code: Select all

x = 19, y = 11, rule = 345/2/4
5.ABC$5.ABC$6.3A$6.AB.B2ABC$6.BCACBAC2.BCA$5.A.C.A4.AB2A$.A.A2.B2.3A
5.AB$2AB3A2.2A.3ABC.CA$4A.2AC.C2A.CBA$.A.C.C.B.B.B$4.B3.A.A!
Smallest precursor I have found so far is 26 cells, fits in a 9 x 12 bounding box:

Code: Select all

x = 9, y = 12, rule = 345/2/4
5.AB$5.AB5$2.A$5A.A$3A.3A.A$2.BA2BA$3.A3.A$6.A!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » September 28th, 2011, 3:45 pm

Interesting growing spaceship:

Code: Select all

x = 26, y = 14, rule = 345/2/4
.B3.C11.A3.B$C.CA.A3.B2.ACA.B.B.C.C.A$.C.BA.3A.3A.3A.3A.4A$.B2.3A.3A.
3A.3A.3AB2A$.CBCA.B.B.C.C2.A3.B2.A.A$7.A3.B3.C3$7.A3.B3.C$.CBCA.B.B.C
.C2.A3.B2.A.A$.B2.3A.3A.3A.3A.3AB2A$.C.BA.3A.3A.3A.3A.4A$C.CA.A3.B2.A
CA.B.B.C.C.A$.B3.C11.A3.B!
Each half is a rake, but the two halves combine to make a clean growing spaceship.

Interesting oscillator:

Code: Select all

x = 135, y = 12, rule = 345/2/4
102.A2.A24.A2.A$101.34A$.A2.A24.A2.A69.A3.A2.A2.A2.A2.A.A2.A2.A2.A3.A
$34A$.A3.A2.A2.A2.A2.A.A2.A2.A2.A3.A5$129.A$128.3A$129.A!

beebop
Posts: 44
Joined: October 13th, 2011, 9:53 pm
Contact:

Re: Star Wars Rule

Post by beebop » October 15th, 2011, 10:46 pm

This has probably already been discovered, but here's a breeder:

Code: Select all

x = 96, y = 58, rule = StarWars
6.BC13.2A$6.C13.A2B$19.AB2CA$18.ABC2.BA$17.ABC2.ACB$16.ABC3.B.C$15.AB
C4.C$14.ABC$13.ABC13.2A$12.ABC13.A2B$11.ABC13.AB2CA$10.ABC13.ABC2.BA$
9.ABC13.ABC2.ACB$8.ABC13.ABC3.B.C$8.ABC13.ABC3.C3.AB$9.ABC21.CBC$22.B
9.BC3.2A$21.C.C.ABC2.C6.AB$14.A6.A.A.CBA2C3.2A.2ACA$4.A.C6.BCBA3.BC3A
2.A3.CBCB2A.2AC2.C2.BC.A$4.BA.B4.C3.CB3.A2.CB2.BC.B2.AC.A.B2.A2.AC.AB
2A$5.3A4.ABC.C2A2.2A6.C2.2A4.A2.2ABCAB.AB2A$5.A.C2.B2.A2.CBA2.A7.A.A.
A3.A.A.A.A.A.A.A$4.C2A.A.C5A.B.31A$6.ABA2B.A.A.C2ABC.A.A.A.A.A.A3.A.A
.A.A.A.A.A$5.C.2A2.C.A2.B5.C.C2.A.2A.A.2CB.B.C2.2A$7.C2.BAB.BC7.BABCB
2A.CB2A2.ACBABCA$7.C.C4.B7.A.A.2A.A3.CBA4.3ABA$8.BABC.CBA5.BC10.CBA6.
2A$9.A.ABA8.C8.CB$22.C9.BA$21.C.B8.C$24.C4.BC.C$6.C18.B.C2.C2.C$5.CB
12.C3.CAC.ABA.BA$3.2CBA15.B.B3.A.2A$3.2BA16.CA2.ABCBCBA.ABC.ABC.ABC.A
$C2.2A13.BC6.AB5.ABC.ABC.ABC.AB2A$B2C13.CABC8.C4.ABC.ABC.ABC.AB2A$A2B
15.ABC11.C.ABC.ABC.ABC.A$.2A2$3.CA$3.CA11$81.ABC.ABC.ABC.A$80.ABC.ABC
.ABC.AB2A$80.ABC.ABC.ABC.AB2A$81.ABC.ABC.ABC.A!
It's relatively compact and is capable of emerging from soup. I found it without the bottom rake that deletes some stray spaceships, but that is also known to arise naturally.

Also, I noticed that if you take a random pattern and run it for a while, there are a lot of breeders that just show up, so if I'm not the only one who cares, we can expect an inundation of similar patterns.

EDIT #1:
Here's another one that given infinite time will fill 1/2 of the space (the previous one fills 1/4 of the space) at a lower density:

Code: Select all

x = 231, y = 159, rule = 345/2/4
59.2A11.2A$54.2A3.2A11.2B83.2A11.2A$54.2B2.A2BA9.A2CA82.2B11.2A3.2A$
53.A2C3.2A10.B2.B81.A2CA9.A2BA2.2B$53.B4.C2.C9.C2.CA80.B2.B10.2A3.2CA
$53.CA3.B2CB13.B79.AC2.C9.C2.C4.B$54.B.3A2BA12.AC79.B13.B2CB3.AC$53.A
C2A2.2A13.B80.CA12.A2B3A.B$52.AB2.2AC2.C12.CA80.B13.2A2.2ACA$51.ABC3A
2.2CB13.B79.AC12.C2.C2A2.BA$51.BC.A.3A2BA12.AC79.B13.B2C2.3ACBA$50.AC
.AC2A2.2A9.2A2.B80.CA12.A2B3A.A.CB$50.B2.BA.2AC2.C8.2B2.CA80.B2.2A9.
2A2.2ACA.CA$49.AC3A.2A.A2CB8.2C3.B79.AC2.2B8.C2.C2A.AB2.B$49.B.B4.2A
2.BA12.AC79.B3.2C8.B2CA.2A.3ACA$49.CAC3.2A.C11.2A2.B80.CA12.AB2.2A4.B
.B$56.2A3.C8.2B2.CA80.B2.2A11.C.2A3.CAC$50.2C2.C2A.A2CB8.2C3.B79.AC2.
2B8.C3.2A$51.B3A.2AC2.2A11.AC79.B3.2C8.B2CA.2AC2.2C$53.BC2A.A.2CB11.B
80.CA11.2A2.C2A.3AB$52.AB2.3A2.BA11.CA80.B11.B2C.A.2ACB$53.CB2A.B2.C
13.B79.AC11.AB2.3A2.BA$53.A2.2A3.C13.C79.B13.C2.B.2ABC$54.B2A.A2.C93.
C13.C3.2A2.A$53.AC.3AB.CBA105.C2.A.2AB$54.B2A.C.C.BA103.ABC.B3A.CA$
53.2A.3AB.C105.AB.C.C.2AB$45.ABC4.B3.A.A110.C.B3A.2A$44.A.A4.C.C2.2A
114.A.A3.B4.CBA$43.3ACA3.C3.2A.C114.2A2.C.C4.A.A$43.3AC2A.CB2.B.2A9.C
BA102.C.2A3.C3.AC3A$39.ABC3.B.B.BA4.2A.ABA6.CBA91.ABC9.2A.B2.BC.2AC3A
$39.ABC4.A.A7.2ACA101.ABC6.ABA.2A4.AB.B.B3.CBA$41.ABC9.CB2A2.BA110.AC
2A7.A.A4.CBA$44.ABC6.A2.3A.C19.2A88.AB2.2ABC9.CBA$44.ABC7.B2A.A21.2BA
66.2A19.C.3A2.A6.CBA$45.ABC6.C.2A.AB12.CBA4.2CB65.A2B21.A.2AB7.CBA$
54.3A.A.C12.CBA6.C65.B2C4.ABC12.BA.2A.C6.CBA$54.B.3A89.C6.ABC12.C.A.
3A$53.A.2A.C113.3A.B$52.BC2.2A114.C.2A.A$51.A.CB2A2.CB112.2A2.CB$52.B
A3.B2A19.CBA88.BC2.2ABC.A$33.A16.C.A2C2.A.A19.CBA67.ABC19.2AB3.AB$34.
B12.AB2CB5.C.2A88.ABC19.A.A2.2CA.C16.A$33.AC3.C6.A.A2.B2.C2.A.2A.A
108.2A.C5.B2CBA12.B$44.3ACA7.3A.B108.A.2A.A2.C2.B2.A.A6.C3.CA$34.C.C
7.5A3.A.C2A2.C.A108.B.3A7.AC3A$33.B12.A2.B.2BA2.2A.2B24.CBA81.A.C2.2A
C.A3.5A7.C.C$49.C.2C.B2A2.CA24.CBA55.ABC24.2B.2A2.A2B.B2.A12.B$35.C
15.B2.A.2A85.ABC24.AC2.2AB.2C.C$52.C2ACA.2A113.2A.A2.B15.C$54.A.2ABA
111.2A.AC2AC$54.ABA.C112.AB2A.A$53.AB.3A113.C.ABA$55.C2.B113.3A.BA$
57.C114.B2.C$51.C9.B111.C$56.C3.C.C106.B9.C$54.CB112.C.C3.C$175.BC$
34.CB2.C17.C3.C$34.BA18.C.BA6.CBA103.C3.C17.C2.BC$34.2C17.B.2A8.CBA
96.ABC6.AB.C18.AB$35.B18.A.3A6.CBA95.ABC8.2A.B17.2C$33.C17.C2.BCA.B
104.ABC6.3A.A18.B$54.A.2A114.B.ACB2.C17.C$52.C2A.A13.CBA9.CBA88.2A.A$
52.B.A.A.C9.CBA.CBA7.CBA61.ABC9.ABC13.A.2AC$54.B2A2.C13.CBA70.ABC7.AB
C.ABC9.C.A.A.B$54.A.3A16.CBA77.ABC13.C2.2AB$56.A.B17.CBA74.ABC16.3A.A
$56.3A19.CBA71.ABC17.B.A$55.2A21.CBA69.ABC19.3A$56.3A.A5.BA8.CBA71.AB
C21.2A$56.A.2AB4.C.CB6.CBA74.ABC8.AB5.A.3A$56.2A.A9.C2.BC.A77.ABC6.BC
.C4.B2A.A$45.2C9.A.ABA6.C.C.A.CBA79.A.CB2.C9.A.2A$45.2B9.A.CA8.BABC.A
B80.ABC.A.C.C6.ABA.A9.2C$45.2A8.2A12.A5.CBA78.BA.CBAB8.AC.A9.2B$56.A
19.CBA74.ABC5.A12.2A8.2A$56.A8.CBA9.CBA72.ABC19.A$42.ABC7.A3.2A7.CBA
10.CBA70.ABC9.ABC8.A$41.ABC.ABC4.3B2A6.BC.A.C.ABC.ABC.A.CBA67.ABC10.A
BC7.2A3.A7.CBA$39.ABC.ABC.ABC.A2C2.3A4.ACB4.CBA.CBA.CBA.CBA63.ABC.A.C
BA.CBA.C.A.CB6.2A3B4.CBA.CBA$39.ABC2.ABC2.ABC2.C2A.2A.C2.BA3.CBA.CBA.
CBA3.CBA60.ABC.ABC.ABC.ABC4.BCA4.3A2.2CA.CBA.CBA.CBA$45.ABC8.A.A.C2.C
A3.CBA.CBA.CBA5.CBA58.ABC3.ABC.ABC.ABC3.AB2.C.2A.2AC2.CBA2.CBA2.CBA$
46.ABC5.B2A.A.B.CB3.CBA.CBA.CBA7.CBA56.ABC5.ABC.ABC.ABC3.AC2.C.A.A8.C
BA$47.ABC3.CA.3ACA5.CBA.CBA.CBA9.CBA54.ABC7.ABC.ABC.ABC3.BC.B.A.2AB5.
CBA$48.ABC.B.AB.A.B26.CBA53.ABC9.ABC.ABC.ABC5.AC3A.AC3.CBA$49.ABCAC2.
C.A83.ABC26.B.A.BA.B.CBA$51.AB119.A.C2.CACBA$178.BA2$45.ABC$44.ABC
136.CBA$3.B19.ABC18.ABC137.CBA$.C182.CBA18.CBA19.B$229.C8$56.2A$55.A
2B115.2A$55.B2CA114.2BA$54.AC2.BA112.A2CB$54.B3.CB111.AB2.CA$53.AC4.C
111.BC3.B$53.B117.C4.CA$52.AC123.B$52.B3.2A119.CA$52.C3.2BA114.2A3.B$
55.A2CB14.CBA96.A2B3.C$55.B2.C16.CBA77.ABC14.B2CA$54.ACA19.CBA74.ABC
16.C2.B$53.AB.BA18.CBA73.ABC19.ACA$53.BC.CB16.CBA75.ABC18.AB.BA$52.2A
C.BC10.CBA.CBA79.ABC16.BC.CB$53.BC4.C6.C.A.CBA83.ABC.ABC10.CB.C2A$56.
CA2.B7.CBA87.ABC.A.C6.C4.CB$55.A2B.C100.ABC7.B2.AC$56.A114.C.2BA$56.A
117.A$55.2A117.A$56.A117.2A$ABC53.A117.A$BC51.AB.2A116.A53.CBA$2.BA.C
46.A.ABA116.2A.BA51.CB$BC2.B38.ABC6.B2A.3A115.ABA.A46.C.AB$.ABC38.ABC
6.A.A.2A.2A112.3A.2AB6.CBA38.B2.CB$40.ABC9.BC2.A.A112.2A.2A.A.A6.CBA
38.CBA$C39.ABC9.AB.2A.A113.A.A2.CB9.CBA$BC16.2A21.ABC.ABC6.C.3AC112.A
.2A.BA9.CBA39.C$ABC15.2B23.ABC.A.C5.B.A.B111.C3A.C6.CBA.CBA21.2A16.CB
$.ABC14.2C25.ABC8.A.A112.B.A.B5.C.A.CBA23.2B15.CBA$3.ABC40.ABC123.A.A
8.CBA25.2C14.CBA$47.ABC132.CBA40.CBA$48.ABC130.CBA$49.AB2C127.CBA$50.
A2B125.2CBA$51.2A125.2BA$178.2A$55.C$55.B2C117.C$55.A2B115.2CB$56.2A
115.2BA$11.2A160.2A$11.2B43.2C160.2A$11.2C43.2B115.2C43.2B$53.5A115.
2B43.2C$53.2B118.5A$52.A2CA120.2B$52.B2.B119.A2CA$52.C2.C119.B2.B$
175.C2.C!
For some breeders it is simpler to calculate the filled area than others; in particular, isosceles, right, and equilateral triangles are easy, but scalene triangles are hard, and other polygons are much harder. [/color]

137ben
Posts: 343
Joined: June 18th, 2010, 8:18 pm

Re: Star Wars Rule

Post by 137ben » October 16th, 2011, 10:36 am

Both your density calculations are incorrect. The first breeder fills half the plane (everything above the center line) with a density of 3/16. The second fills the entire plane, with density 1/32.
For some breeders it is simpler to calculate the filled area than others; in particular, isosceles, right, and equilateral triangles are easy, but scalene triangles are hard, and other polygons are much harder.
The portion of the plane filled is any area that will eventually be encompassed. For most breeders, this is everything beyond a certain line (which is ALWAYS half the plane). If there are more than two boundary lines, the filled area will be reduced accordingly.
For triangles with two boundary lines, the filled portion of the plane is the angle between them/(2 Pi).

beebop
Posts: 44
Joined: October 13th, 2011, 9:53 pm
Contact:

Re: Star Wars Rule

Post by beebop » October 16th, 2011, 12:29 pm

137ben wrote:The first breeder fills half the plane (everything above the center line) with a density of 3/16. The second fills the entire plane, with density 1/32
OK, thanks. I guess I wasn't thinking when I made those calculations, and thanks for correcting them.

User avatar
calcyman
Posts: 2095
Joined: June 1st, 2009, 4:32 pm

Re: Star Wars Rule

Post by calcyman » October 16th, 2011, 12:33 pm

but scalene triangles are hard, and other polygons are much harder
For a polygon with vertices {(x1,y1),(x2,y2), ... ,(xn,yn)}, you can use this formula:

Area = ((x1y2 - x2y1) + (x2y3 - x3y2) + ... + (xny1 - x1yn))/2.

Keen observers will notice that for n = 3, this reduces to the determinant formula for calculating the area of a triangle.
What do you do with ill crystallographers? Take them to the mono-clinic!

User avatar
Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

Re: Star Wars Rule

Post by Wojowu » October 16th, 2011, 12:41 pm

Binary counter!!!

Code: Select all

x = 25, y = 14, rule = 345/2/4
2.C4.C$7.B9.C4.C$7.AC8.B$8.B7.CA$7.CA7.B$2.A4.B8.AC$.BAB2.CA9.B4.A$.
3CA.B10.AC2.BAB$C3.BCA11.B.A3C$B3A.B12.ACB3.C$A.2B2A13.B.3AB$.3A15.2A
2B.A$2.2A17.3A$21.2A!
Lowest glider is not counted, each number is readed diagonally (from SW to NE) and each bit is two gliders.

Here is version without this not counted gliders:

Code: Select all

x = 32, y = 76, rule = 345/2/4
2B$2A61$9.C4.C$14.B9.C4.C$14.AC8.B$15.B7.CA$14.CA7.B$9.A4.B8.AC$8.BAB
2.CA9.B4.A$8.3CA.B10.AC2.BAB$7.C3.BCA11.B.A3C$7.B3A.B12.ACB3.C$7.A.2B
2A13.B.3AB$8.3A15.2A2B.A$9.2A17.3A$28.2A!
Edit:
I made mistake when copying code for pattern
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » November 12th, 2011, 5:50 pm

Extendable backrake creates an array of gliders:

Code: Select all

x = 356, y = 136, rule = 345/2/4
10.ABC$8.ABC.A3.A$2.ABC.ABC2.BA.ABCBA$ABC.ABC2.BA.CB2.CA$ABC3.ABC.A.C
B2.2A$8.ABC2.BA.CA$10.ABC.A.CB2.CB7.BA$12.ABC2.BA.C2ACBA2.CACB$14.ABC
.A.CBA.CB2.B2.CA8.C$16.ABC2.BA.C2AC2.CBA2.2A5.B$18.ABC.A.CBA.2B2.B2.
2B4.AC$20.ABC2.BA.CA.2CA.2C2.C2.2BA$22.ABC.A.CB2.B7.BACA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$
24.ABC2.BA.CA.2C.2C2.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA21.CBA21.CBA21.CBA21.CBA21.CBA$26.ABC.A.CBA.B.C4.BA$28.ABC2.BA.CA4.
AC$30.ABC.A.CBA4.2BA$32.ABC2.BA.CB.CA9.C$34.ABC.A.CB2.CB9.BA$36.ABC2.
BA.C2ACBA2.C.BCBA$38.ABC.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$40.ABC2.BA.C2A3.CB.A
7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA21.CBA$42.ABC.A.CBA.AB2.B$44.ABC2.BA.CB.2CA.C$46.ABC.A.CB2.B9.CBA$
48.ABC2.BA.CA.2C5.CB$50.ABC.A.CBA.B.C4.BA9.C$52.ABC2.BA.CA4.AC$54.ABC
.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA$56.ABC2.BA.CB.CA10.BA8.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$58.ABC.A.CB2.CB6.BC.C$60.A
BC2.BA.C2ACBA2.C2.C$62.ABC.A.CBA.CB5.CB8.C$64.ABC2.BA.C2A3.CB.A8.B$
66.ABC.A.CBA.AB2.B8.AC$68.ABC2.BA.CB.2CA.C6.2BA$70.ABC.A.CB2.B9.CA21.
CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$72.AB
C2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA$74.ABC.A.CBA.B.C4.BA$76.ABC2.BA.CA4.AC$78.ABC.A.CBA4.2BA
$80.ABC2.BA.CB.CA9.C$82.ABC.A.CB2.CB9.BA$84.ABC2.BA.C2ACBA2.C.BCBA$
86.ABC.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA$88.ABC2.BA.C2A3.CB.A7.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$90.ABC.A.CBA.AB2.B$92.ABC2.BA.CB
.2CA.C$94.ABC.A.CB2.B9.CBA$96.ABC2.BA.CA.2C5.CB$98.ABC.A.CBA.B.C4.BA
9.C$100.ABC2.BA.CA4.AC$102.ABC.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$104.ABC2.BA.CB.CA10.BA8.CBA21.CB
A21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$106.ABC.A.CB2.CB6.B
C.C$108.ABC2.BA.C2ACBA2.C2.C$110.ABC.A.CBA.CB5.CB8.C$112.ABC2.BA.C2A
3.CB.A8.B$114.ABC.A.CBA.AB2.B8.AC$116.ABC2.BA.CB.2CA.C6.2BA$118.ABC.A
.CB2.B9.CA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$120.
ABC2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA$122.ABC.A.CBA.B.C4.BA$124.ABC2.BA.CA4.AC$126.ABC.A.CBA4.2BA$128.AB
C2.BA.CB.CA9.C$130.ABC.A.CB2.CB9.BA$132.ABC2.BA.C2ACBA2.C.BCBA$134.AB
C.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$
136.ABC2.BA.C2A3.CB.A7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA$138.ABC.A.CBA.AB2.B$140.ABC2.BA.CB.2CA.C$142.ABC.A.CB2.B9.CBA$
144.ABC2.BA.CA.2C5.CB$146.ABC.A.CBA.B.C4.BA9.C$148.ABC2.BA.CA4.AC$
150.ABC.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CB
A$152.ABC2.BA.CB.CA10.BA8.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.C
BA$154.ABC.A.CB2.CB6.BC.C$156.ABC2.BA.C2ACBA2.C2.C$158.ABC.A.CBA.CB5.
CB8.C$160.ABC2.BA.C2A3.CB.A8.B$162.ABC.A.CBA.AB2.B8.AC$164.ABC2.BA.CB
.2CA.C6.2BA$166.ABC.A.CB2.B9.CA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA
21.CBA$168.ABC2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CB
A$170.ABC.A.CBA.B.C4.BA$172.ABC2.BA.CA4.AC$174.ABC.A.CBA4.2BA$176.ABC
2.BA.CB.CA9.C$178.ABC.A.CB2.CB9.BA$180.ABC2.BA.C2ACBA2.C.BCBA$182.ABC
.A.CBA.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$184.ABC2.BA.C
2A3.CB.A7.CBA21.CBA21.CBA21.CBA21.CBA21.CBA21.CBA$186.ABC.A.CBA.AB2.B
$188.ABC2.BA.CB.2CA.C$190.ABC.A.CB2.B9.CBA$192.ABC2.BA.CA.2C5.CB$194.
ABC.A.CBA.B.C4.BA9.C$196.ABC2.BA.CA4.AC$198.ABC.A.CBA4.2BA8.2CB8.CBA
21.CBA21.CBA21.CBA21.CBA21.CBA$200.ABC2.BA.CB.CA10.BA8.CBA21.CBA21.CB
A21.CBA21.CBA21.CBA$202.ABC.A.CB2.CB6.BC.C$204.ABC2.BA.C2ACBA2.C2.C$
206.ABC.A.CBA.CB5.CB8.C$208.ABC2.BA.C2A3.CB.A8.B$210.ABC.A.CBA.AB2.B
8.AC$212.ABC2.BA.CB.2CA.C6.2BA$214.ABC.A.CB2.B9.CA21.CBA21.CBA21.CBA
21.CBA21.CBA$216.ABC2.BA.CA.2C5.CB21.CBA21.CBA21.CBA21.CBA21.CBA$218.
ABC.A.CBA.B.C4.BA$220.ABC2.BA.CA4.AC$222.ABC.A.CBA4.2BA$224.ABC2.BA.C
B.CA9.C$226.ABC.A.CB2.CB9.BA$228.ABC2.BA.C2ACBA2.C.BCBA$230.ABC.A.CBA
.CB5.CBA7.CBA21.CBA21.CBA21.CBA21.CBA$232.ABC2.BA.C2A3.CB.A7.CBA21.CB
A21.CBA21.CBA21.CBA$234.ABC.A.CBA.AB2.B$236.ABC2.BA.CB.2CA.C$238.ABC.
A.CB2.B9.CBA$240.ABC2.BA.CA.2C5.CB$242.ABC.A.CBA.B.C4.BA9.C$244.ABC2.
BA.CA4.AC$246.ABC.A.CBA4.2BA8.2CB8.CBA21.CBA21.CBA21.CBA$248.ABC2.BA.
CB.CA10.BA8.CBA21.CBA21.CBA21.CBA$250.ABC.A.CB2.CB6.BC.C$252.ABC2.BA.
C2ACBA2.C2.C$254.ABC.A.CBA.CB5.CB8.C$256.ABC2.BA.C2A3.CB.A8.B$258.ABC
.A.CBA.AB2.B8.C$260.ABC2.BA.CB.2CA.C$262.ABC.A.CB2.B$264.ABC2.BA.CA.
2C$266.ABC.A.CB2.B$268.ABC!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: Star Wars Rule

Post by knightlife » November 20th, 2011, 10:24 pm

A quadratic backrake creates rakes in an unusual way:

Code: Select all

x = 91, y = 22, rule = 345/2/4
45.CBA$11.ABC28.BC3.CBA$11.ABC5.ABC19.C2.BCBA.CBA$13.ABC.ABC2.BA16.BC
BA.A3.A.CBA$15.ABC2.BA.CBA15.A5.C.CB2.CBA$17.ABC.A.CBA22.BA.ABA.CBA$
19.ABC31.C3.CBA$20.ABC32.C.A.CBA$53.C2.BC.A.CBA$59.CBA.CBA$34.2A29.CB
A$34.2B8.B22.CBA$33.A2C7.2C24.CBA$32.B4.AC.BCAB3.A19.A.A.A$32.2A2.A.A
.A.A.2A2B2A17.BA.2B2A13.CBA$CBA28.C18A18.C5A13.CBA$C.A$C.AB87A$C.AB
87A$C.A$CBA84.CBA$87.CBA!
The backrake makes use of a moving wall.
The moving wall is great for cleanup tasks when making large spaceships or rakes.

The following rake uses a moving wall that manages to repair itself:

Code: Select all

x = 86, y = 68, rule = 345/2/4
.2A$3A$.2BA$3A$.A.C$.C2B$2.2A$2.C$C.BC8$17.2A$16.3A$17.2BA$16.3A$17.A
.C$17.C2B$18.2A$18.C$16.C.BC8$33.2A$32.3A$33.2BA$32.3A$33.A.C$31.2AC
2B$30.B.B3A$29.A2CA.C$30.B2.B24.CBA$31.A2C24.CBA$32.B23.CBA$35.C4.ABC
$33.2CB4.ABC$33.2BA5.ABC13.B$33.2A8.BC3.C7.C.C$34.C2.2A4.B.B.AB2.C$
36.A2BA2.ABCBAC.2A4.CB.CACBA$33.C.CAC.CB.C4.B2.2A.C.C2.AB.ACB$34.2A.A
.A3.A.A.A.A.A.A.A.A.A.A.A.A$35.B4ABCB25A$34.CA12.A.A.A3.A.A.A.A.A.A.A
$40.B2AC2.CBA2.A.BCB.A2.C2.A.AC3A$39.C.A.BAC2.A.ABC.A.ACABC.BC.AC3A$
41.C.CAB.B2.3A2.ABA.A3.2B.A.A$42.B3.C2A2.BC.C.2A7.CBA$46.A.BA2.CB.C7.
CBA$46.B.2C2.A2B$45.2C.B2.C3A$29.ABC13.AB3.CB30.CBA$28.CB.C13.ABC34.C
BA$29.B.A$29.BC55A$29.BC55A$29.B.A$28.CBA51.CBA$82.CBA!

User avatar
Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

Re: Star Wars Rule

Post by Hektor » February 10th, 2012, 9:21 am

Two moving walls

Code: Select all

x = 60, y = 14, rule = 345/2/4
56.CBA$2.CBA51.CBA$2.C.A$2.C.AB54A$2.C.AB54A$A.B.B$ABA53.CBA$ABA53.CB
A$A.B.B$2.C.AB54A$2.C.AB54A$2.C.A$2.CBA51.CBA$56.CBA!
Three moving walls

Code: Select all

x = 60, y = 20, rule = 345/2/4
56.CBA$2.CBA51.CBA$2.C.A$2.C.AB54A$2.C.AB54A$A.B.B$ABA53.CBA$ABA53.CB
A$A.B.B$2.C.AB54A$2.C.AB54A$A.B.B$ABA53.CBA$ABA53.CBA$A.B.B$2.C.AB54A
$2.C.AB54A$2.C.A$2.CBA51.CBA$56.CBA!
And a stretcher

Code: Select all

x = 29, y = 8, rule = 345/2/4
25.CBA$A24.CBA$.A$.28A$.28A2$25.CBA$25.CBA!

User avatar
Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

Re: Star Wars Rule

Post by Wojowu » February 10th, 2012, 9:48 am

Stretcher moving in two directions

Code: Select all

x = 3, y = 10, rule = 345/2/4
.B$.A$.A2$3A$3A2$.A$.A$.B!
Stable, indestructible box

Code: Select all

x = 21, y = 21, rule = 345/2/4
.A2.A2.A2.A2.A2.A2.A$21A$.A17.A$.A17.A$2A17.2A$.A17.A$.A17.A$2A17.2A$
.A17.A$.A17.A$2A17.2A$.A17.A$.A17.A$2A17.2A$.A17.A$.A17.A$2A17.2A$.A
17.A$.A17.A$21A$.A2.A2.A2.A2.A2.A2.A!
Another one, almost indestructible even from outside (expect corners)

Code: Select all

x = 13, y = 13, rule = 345/2/4
2.A7.A$.11A$2A.7A.2A$.2A7.2A$.2A7.2A$.2A7.2A$.2A7.2A$.2A7.2A$.2A7.2A$
.2A7.2A$2A.7A.2A$.11A$2.A7.A!
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

User avatar
Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

Re: Star Wars Rule

Post by Hektor » February 11th, 2012, 10:02 am

Found some AWESOME (and extendible) rakes!

Code: Select all

x = 3, y = 64, rule = 345/2/4
3A$3A$2A$2A$3A$3A15$3A$3A$2A$2A$3A$3A$2A$2A$3A$3A21$3A$3A$2A$2A$3A$3A
$2A$2A$3A$3A$2A$2A$3A$3A!

Code: Select all

x = 72, y = 48, rule = 345/2/4
5$18.3A$18.3A$5.CA11.2A$5.2BA10.2A$6.CBA9.3A$6.CBA9.3A$5.2BA10.2A$5.C
A11.2A$18.3A$18.3A$18.2A$18.2A$18.3A$18.3A$18.2A$18.2A$18.3A$18.3A46.
3A$18.2A47.3A$18.2A22.CA23.2A$18.3A21.2BA22.2A$18.3A22.CBA21.3A$18.2A
23.CBA21.3A$18.2A22.2BA22.2A$18.3A21.CA23.2A$18.3A46.3A$18.2A47.3A$
18.2A$18.3A$18.3A$18.2A$18.2A$18.3A$18.3A$.CA15.2A$.2BA14.2A$2.CBA13.
3A$2.CBA13.3A$.2BA14.2A$.CA15.2A$18.3A$18.3A!

Code: Select all

x = 3, y = 23, rule = 345/2/4
3A$3A$2A$2A$3A$3A$2A$2A$3A$3A4$3A$3A$2A$2A$3A$3A$2A$2A$3A$3A!

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: Star Wars Rule

Post by flipper77 » July 5th, 2012, 3:56 am

Here is a guaranteed indestructible box, where all initial cells are permanent. Though, it oscillates at the corners:

Code: Select all

x = 13, y = 13, rule = 345/2/4
.11A$2A.A2.A2.A.2A$A2.A2.A2.A2.A$13A$A2.A5.A2.A$A2.A5.A2.A$4A5.4A$A2.
A5.A2.A$A2.A5.A2.A$13A$A2.A2.A2.A2.A$2A.A2.A2.A.2A$.11A!

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

Re: Star Wars Rule

Post by flipper77 » July 23rd, 2012, 4:11 am

After some thought and experimentation, I've finally found a much more plausible plus crystal reaction:

Code: Select all

x = 31, y = 80, rule = 345/2/4
22.2C$22.2B$22.2A29$14.CBA$14.CBA$CBA$CBA25.A$27.3A$28.A36$22.2A$22.
2B$22.2C2$29.2A$28.A2B$28.B2C$28.C!
It can be adjusted so it contains a lot of flexibility.

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