New Life

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

Re: New Life

Post by knightlife »

18-cell clean breeder (smaller than 32 and 24 cell versions I posted previously)

Code: Select all

x = 12, y = 19, rule = MilhinSA
2BA$2.B$2.B$2.B$2.B$B.A8$9.B.A$11.B$11.B$11.B$11.B$9.2BA!
Quad breeders co-exist:

Code: Select all

x = 55, y = 55, rule = MilhinSA
43.2BA$45.B$45.B$45.B$45.B$43.B.A7$9.A2B$9.B42.B.A$9.B44.B$9.B44.B$9.
B44.B$9.A.B42.B$52.2BA6$52.2BA$A.B51.B$B53.B$B53.B$B53.B$B51.B.A$A2B
6$A2B$B42.B.A$B44.B$B44.B$B44.B$A.B42.B$43.2BA7$9.A.B$9.B$9.B$9.B$9.B
$9.A2B!
Spaceship to glider and back using beehives:

Code: Select all

x = 24, y = 17, rule = MilhinSA
B.A$2.B$2.B$B.A2$10.2B$9.B2.B$10.2B7$21.2B$20.B2.B$21.2B!
Large spaceship:

Code: Select all

x = 28, y = 13, rule = MilhinSA
17.A$15.A.A.A3.A.ABA$AB6.2B.B.2B5.B2.BA2.B$B.2B7.B3.5B.2BA.B.B$B4.2A
17.B2.B$.24B.BA2$.24B.BA$B4.2A17.B2.B$B.2B7.B3.5B.2BA.B.B$AB6.2B.B.2B
5.B2.BA2.B$15.A.A.A3.A.ABA$17.A!
EDIT:
Smaller spaceship:

Code: Select all

x = 5, y = 11, rule = MilhinSA
2.AB$3.BA$3.BA$B2.BA$.A2B2$.A2B$B2.BA$3.BA$3.BA$2.AB!
(May already be discovered)

EDIT2:
Just found this "medium" size spaceship:

Code: Select all

x = 15, y = 11, rule = MilhinSA
9.B.B.B$6.BA2.B2.BA$6.A3B.B.BA$.B.B9.BA$B.B.7BA2B$.B$B.B.7BA2B$.B.B9.
BA$6.A3B.B.BA$6.BA2.B2.BA$9.B.B.B!
And a 40c/80 spaceship:

Code: Select all

x = 6, y = 15, rule = MilhinSA
3.AB$4.BA$3.ABA$3.ABA$2A.ABA$AB2.BA$A4B2$A4B$AB2.BA$2A.ABA$3.ABA$3.AB
A$4.BA$3.AB!
Another small spaceship:

Code: Select all

x = 11, y = 11, rule = MilhinSA
6.A.ABA$3.B2.BA2.B$2.B.2BA.B.B$B6.B2.B$.7B.BA2$.7B.BA$B6.B2.B$2.B.2BA
.B.B$3.B2.BA2.B$6.A.ABA!
"tiny" puffs of smoke (18c/36):

Code: Select all

x = 6, y = 8, rule = MilhinSA
.B.A$3.B$3.B$B2.B$2B2.B$4.BA$4.BA$3.AB!
knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: New Life

Post by knightlife »

Extendable spaceships:

Code: Select all

x = 141, y = 61, rule = MilhinSA
135.B.B.B$6.B10.A9.B10.A9.B10.A9.B10.A9.B10.A9.B10.A9.BA2.B2.BA$2.A3.
B.B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.B.B3.
B4.A.A3.A3.B.B3.B4.A.A3.A3.A3B2.ABA$A2.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B
5.BA2.BA5.B3.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B7.A.BA$.2B.5B
A3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B
.10B2$.2B.5BA3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B.5BA3BA6B.3B
.5BA3BA6B.3B.10B$A2.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B5.BA2.
BA5.B3.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B7.A.BA$2.A3.B.B3.B4.A.A3.A3.B.B3.
B4.A.A3.A3.B.B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.B.B3.B4.A.
A3.A3.A3B2.ABA$6.B10.A9.B10.A9.B10.A9.B10.A9.B10.A9.B10.A9.BA2.B2.BA$
135.B.B.B15$135.B.B.B$18.A113.BA2.B2.BA$2.A2.AB.A4.B4.A.A3.A3.A3.A3.A
3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A
3.A3B.B.BA$.B.B4.B.B3.BA5.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B
3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B9.BA$.B.B.3B.B.3BA6B.3B.3B.3B.
3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.
3B.7BA2B2$.B.B.3B.B.3BA6B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.
3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.7BA2B$.B.B4.B.B3.BA5.B3.B3.B3.
B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.
B3.B9.BA$2.A2.AB.A4.B4.A.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A
3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3B.B.BA$18.A113.BA2.B2.BA$
135.B.B.B15$135.B.B.B$8.B10.A9.B10.A49.B10.A9.B10.A9.BA2.B2.BA$4.A3.B
.B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.B.B3.B4.
A.A3.A3.B.B3.B4.A.A3.A3.A3B2.ABA$2.A2.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B3.
B3.B3.B3.B3.B3.B3.B3.B3.B3.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B7.A.BA$3.2B.
5BA3BA6B.3B.5BA3BA6B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B.5BA3BA6B.3B.5BA
3BA6B.3B.10B2$3.2B.5BA3BA6B.3B.5BA3BA6B.3B.3B.3B.3B.3B.3B.3B.3B.3B.3B
.3B.5BA3BA6B.3B.5BA3BA6B.3B.10B$2.A2.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B3.B
3.B3.B3.B3.B3.B3.B3.B3.B3.B5.BA2.BA5.B3.B5.BA2.BA5.B3.B7.A.BA$4.A3.B.
B3.B4.A.A3.A3.B.B3.B4.A.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.B.B3.B4.A
.A3.A3.B.B3.B4.A.A3.A3.A3B2.ABA$8.B10.A9.B10.A49.B10.A9.B10.A9.BA2.B
2.BA$135.B.B.B!
You can build your own from various sections.
MilhinSA
Posts: 48
Joined: July 23rd, 2012, 10:43 pm
Location: Tomsk, Russia
Contact:

Re: New Life

Post by MilhinSA »

This breeder is created by analogy with breeders Knightlife.
viewtopic.php?f=11&t=938&start=25#p7139

Code: Select all

x = 23, y = 29, rule = MilhinSA
7.2A$6.4B$A5B3.A$6.2B$B.4B$6.B$7.A6.2A$5.2B6.4B$13.A2.A$6.B10.5A$4.B.
AB8.A6B$4.B11.B.3A.A$3.A13.A$16.A$17.B$16.A.A2$18.A$9.A$9.2B$8.A.B2$
18.2B$17.B.B$17.2B2$17.A$17.2B$16.A.B!
(do not laugh: Google is the translator and to blame for)
MilhinSA
Posts: 48
Joined: July 23rd, 2012, 10:43 pm
Location: Tomsk, Russia
Contact:

Re: New Life

Post by MilhinSA »

Another breeder who uses the glider collision with the ship.

Code: Select all

x = 90, y = 32, rule = MilhinSA
26.2A$25.4B$19.A5B3.A2$19.B5.B38.2A$22.B2.B37.4B$22.B.B38.A3.5BA2$66.
B5.B$66.B2.B$7.2A58.B.B$6.4B$A5B3.A$6.2B$B.4B$7.A$6.2B$3.BA$3.B2.B$4.
2B6$81.2A$80.4B$80.A3.5BA2$83.B5.B$83.B2.B$84.B.B!
(do not laugh: Google is the translator and to blame for)
MilhinSA
Posts: 48
Joined: July 23rd, 2012, 10:43 pm
Location: Tomsk, Russia
Contact:

Re: New Life

Post by MilhinSA »

2-glider syntheses

The research is based on the following pattern:
A collection of all 71 distinct two-glider collisions, grouped by what they synthesize.
http://www.conwaylife.com/wiki/index.ph ... _synthesis
(http://www.conwaylife.com/patterns/twog ... theses.rle)

67 distinct 2-glider collisions.

Code: Select all

x = 440, y = 266, rule = MilhinSA
391.B$372.B16.B$62.B18.B19.B16.B18.B36.B18.B23.B18.B16.B17.B18.B17.B
16.B17.B26.B18.A2B18.B17.B$60.B18.B19.B16.B18.B20.B15.B18.B23.B18.B
16.B17.B18.B17.B16.B17.B28.A2B35.B17.B$60.A2B16.A2B17.A2B14.A2B16.A2B
16.B17.A2B16.A2B21.A2B16.A2B14.A2B15.A2B16.A2B15.A2B14.A2B15.A2B64.A
2B15.A2B$154.A2B4$194.A2B74.A2B134.A2B16.A2B$61.A2B17.A2B88.A21.B76.B
20.A115.B18.B$61.B19.B20.A17.A31.A18.2B23.B56.A19.B17.2B13.A35.A42.BA
23.B18.B$63.B19.B17.2B16.2B13.AB15.2B18.B.A56.2B20.2B37.B.A11.2B16.AB
16.2B13.2B28.B$101.B.A15.B.A12.B16.B.A54.2B21.BA19.B.A50.B.A15.B17.B.
A13.BA25.B.B$134.B.B72.BA19.A92.B.B30.A$208.A7$B4.B3.B.B3.B.B.B2.B3.B
3.B3.B4.B4.B.B2$B.B2.B2.B3.B4.B4.B3.B3.B3.B.B2.B2.B2$B2.B.B2.B3.B4.B
4.B.B.B3.B3.B2.B.B2.B2.B.B2$B4.B2.B3.B4.B4.B3.B3.B3.B4.B2.B4.B2$B4.B
3.B.B5.B4.B3.B3.B3.B4.B4.B.B236.B$237.B22.B20.B84.B36.B17.B17.B$93.B
16.B17.B16.B16.B15.B17.B17.B20.B22.B22.A2B19.B19.B20.B19.B36.B17.B17.
B$73.B17.B16.B17.B16.B16.B15.B17.B17.B22.A2B20.A2B40.B19.B20.B21.A2B
34.A2B15.A2B15.A2B$71.B19.A2B14.A2B15.A2B14.A2B14.A2B13.A2B15.A2B15.A
2B86.A2B17.A2B18.A2B37.B$71.A2B306.B$380.A2B2$385.A$384.2B$82.2BA16.
2BA16.2BA15.2BA15.2BA14.2BA16.2BA189.B.A13.A16.A$60.2BA21.B18.B18.B
17.B17.B16.B18.B14.2BA59.BA62.2BA61.2B15.2B$62.B19.B18.B18.B17.B17.B
16.B18.B18.B11.2B23.2B22.B20.2B42.B21.2B38.B.A14.B.A9.BA$60.B148.B14.
BA23.BA19.B.B21.BA17.2B20.B24.BA67.B$223.A24.A44.A20.BA43.A67.B.B$
313.A13$121.B$80.B39.B$63.B14.B23.B17.A2B$61.B16.A2B19.B$B.B4.B.B.B2.
B.B.B2.B3.B3.B3.B3.B2.B.B.B16.A2B36.A2B2$B3.B2.B6.B6.B3.B3.B3.B3.B2.B
2$B.B4.B.B.B2.B.B.B2.B.B.B3.B3.B3.B2.B.B.B$79.A$B3.B2.B6.B6.B3.B3.B4.
B.B3.B37.2B$66.A11.B.A33.2B$B.B4.B.B.B2.B.B.B2.B3.B3.B5.B4.B.B.B20.2B
34.AB12.BA$65.B.A33.B12.A$101.B.B16$106.B$84.B19.B$82.B21.A2B13.B$58.
B23.A2B33.B22.B165.B$B.B4.B7.B.B4.B.B3.B3.B23.B61.A2B18.B101.B.B2.B.B
.B2.B.B.B2.B.B4.B.B4.B.B.B2.B.B21.B55.B.A$56.A2B80.A2B122.B6.B13.B19.
A2B53.2B$B3.B2.B6.B3.B2.B3.B2.B2.B208.B7.B4.B6.B6.B6.B6.B80.A$159.B
104.B6.B13.B53.A$B.B4.B6.B3.B2.B6.B.B126.B83.B.B4.B4.B.B.B2.B.B4.B.B
4.B.B.B2.B.B45.B.B5.AB$157.A2B171.B6.2B$B3.B2.B6.B3.B2.B3.B2.B2.B77.A
B50.A2B80.B3.B4.B6.B6.B6.B6.B2.B45.BA$80.AB27.B51.B$B.B4.B.B.B3.B.B4.
B.B3.B3.B47.B28.B.B10.AB39.B77.B.B4.B4.B.B.B2.B6.B6.B.B.B2.B3.B$59.AB
19.B.B39.B10.2B167.AB61.A2B$59.B62.B.B9.BA166.B62.B$59.B.B71.A168.B.B
62.B18$61.B$B.B6.B4.B.B6.B.B3.B.B.B25.B$18.B40.A2B$B3.B3.B.B3.B6.B7.B
$18.B$B.B4.B3.B2.B.B4.B2.B.B2.B.B.B2$B3.B2.B.B.B2.B2.B3.B4.B2.B2$B.B
4.B3.B2.B3.B4.B.B3.B.B.B20.2BA$56.B$54.B17$112.B$100.B13.B$67.B13.B
16.B13.2BA$B.B5.B.B5.B4.B.B.B39.B13.B18.A2B$65.A2B11.A2B$B3.B2.B3.B3.
B.B5.B2$B.B4.B3.B2.B3.B4.B2$B3.B2.B3.B2.B.B.B4.B77.A$82.A2B15.2B$B.B
5.B.B3.B3.B4.B58.B17.B.A19.2B175.B35.B23.B$84.B36.AB175.2B34.2B22.2B$
49.2B72.A$50.BA$49.A14$60.B$58.B$58.A2B241.B$300.B31.B32.B26.B$.B.B3.
B3.B3.B3.B.B218.B5.B3.B3.B.B4.B.B36.A2B27.B32.B30.B$23.B53.B252.A2B
30.A2B26.2BA$B6.B3.B3.B3.B59.B160.B.B.B.B3.B2.B6.B3.B$23.B53.2BA$.B.B
3.B.B.B3.B3.B.B218.B2.B2.B3.B3.B.B3.B2$4.B2.B3.B3.B3.B220.B5.B3.B6.B
2.B3.B$53.BA272.A31.A2B41.AB$.B.B3.B3.B3.B3.B34.B25.AB158.B5.B3.B3.B.
B4.B.B62.2B31.B43.B35.B$52.B.B25.B215.2B28.B.A32.B41.B.B32.2B$80.B.B
214.BA$296.A17$62.B$60.B$B.B.B2.B3.B2.B.B43.A2B2$2.B4.B3.B2.B3.B2$2.B
4.B3.B2.B.B2$2.B4.B3.B2.B3.B40.A$58.2B$2.B5.B.B3.B.B41.B.A10$328.B30.
B39.B$327.2B29.2B38.2B9$402.B$61.B242.B.B94.2B$B.B5.B7.B.B4.B7.B.B4.B
.B3.B3.B10.B182.B.B3.B6.B3.B.B4.B.B.B2.B.B30.B$59.A2B215.B27.BA$B3.B
3.B7.B3.B2.B6.B3.B2.B3.B2.B2.B192.B7.B6.B3.B3.B2.B6.B$277.B$B.B5.B2.B
.B2.B.B4.B6.B3.B2.B6.B.B193.B2.B.B2.B6.B3.B3.B2.B.B.B2.B.B2$B3.B3.B7.
B3.B2.B6.B3.B2.B3.B2.B2.B192.B4.B2.B6.B3.B3.B2.B6.B2.B$59.A2B$B.B5.B
7.B.B4.B.B.B3.B.B4.B.B3.B3.B10.B182.B.B3.B.B.B2.B3.B.B4.B.B.B2.B3.B$
61.B238.2BA$302.B$300.B11$328.B$327.2B!
Three 2-glider collision have explosive character.

Code: Select all

x = 5, y = 13, rule = MilhinSA
2.B$B$A2B8$2.AB$2.B$2.B.B!

Code: Select all

x = 4, y = 11, rule = MilhinSA
3.B$.B$.A2B6$2BA$2.B$B!

Code: Select all

x = 12, y = 14, rule = MilhinSA
11.B$9.B$9.A2B9$.BA$2.B$B.B!
One 2-glider collision takes place without interaction.

Code: Select all

x = 16, y = 11, rule = MilhinSA
15.B$13.B$13.A2B6$2BA$2.B$B!
In the game of life there is interaction.

Code: Select all

x = 16, y = 11, rule = B3/S23
14bo$13bo$13b3o6$3o$2bo$bo!
(do not laugh: Google is the translator and to blame for)
MilhinSA
Posts: 48
Joined: July 23rd, 2012, 10:43 pm
Location: Tomsk, Russia
Contact:

Re: New Life

Post by MilhinSA »

Another scalable spaceship and puffer based on it.

Code: Select all

x = 143, y = 117, rule = MilhinSA
35.2A88.3A$34.4B86.5B$34.A2.A86.A3.A$31.3A4.3A80.3A5.3A$30.4B4.4B78.
4B5.4B$30.A2.A4.A2.A78.A2.A5.A2.A$27.3A12.3A72.3A13.3A$26.4B12.4B70.
4B13.4B$20.A5B3.A12.A3.5BA58.A5B3.A13.A3.5BA2$20.B5.B18.B5.B58.B5.B
19.B5.B$27.B16.B72.B17.B$23.3B.BA14.AB.3B64.3B.BA15.AB.3B$28.A14.A74.
A15.A$23.5B16.5B64.5B17.5B$23.B24.B64.B25.B$24.B22.B66.B23.B69$35.2A$
34.4B$34.A2.A$31.3A4.3A$30.4B4.4B$30.A2.A4.A2.A$27.3A12.3A$26.4B12.4B
$26.A2.A12.A2.A$23.3A20.3A$22.4B20.4B$22.A2.A20.A2.A$19.3A28.3A$18.4B
28.4B$18.A2.A28.A2.A$15.3A36.3A$14.4B36.4B$14.A2.A36.A2.A$11.3A44.3A$
10.4B44.4B$10.A2.A44.A2.A$7.3A52.3A$6.4B52.4B$A5B3.A52.A3.5BA2$B5.B
58.B5.B$7.B56.B$3.3B.BA54.AB.3B$8.A54.A$3.5B56.5B$3.B64.B$4.B62.B!
(do not laugh: Google is the translator and to blame for)
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