Frogs (12/34/3)

[David]

This is a chaotic rule. But result is simple, normally.
It has a few patterns...

- Infinity still lifes. Currently, a domino and a stable wick discovered.
- 2 oscillators.
P6(very normally occured, a pentomino):

Code: Select all

x = 3, y = 3, rule = 12/34/3
.2A$2A$A!

P4(dosen't normally occued):

Code: Select all

x = 4, y = 4, rule = 12/34/3
.2A$.A.A$A.A$.2A!

- And a c/5 orthogonal spaceship(maybe it is the 'frog'):

Code: Select all

x = 4, y = 3, rule = 12/34/3
A2.A$A2.A$.2A!

...Anything else?

[skomick]

Oops... The spaceship has the code for the p4 repeated...

[Lewis]

This is (I think) the c/5 ship missed out of the first post:

Code: Select all

x = 3, y = 4, rule = 12/34/3
2A$2.A$2.A$2A!

Here is another small P6 oscillator which often occurs naturally:

Code: Select all

x = 4, y = 4, rule = 12/34/3
3.A$.ABA$.B$2A!

[ebcube]

A frog rotates a still life 90º without moving it:

Code: Select all

x = 4, y = 15, rule = 12/34/3
A2.A$A2.A11$A2.A$A2.A$.2A!

[Tropylium]

Allowing S7 introduces a p12 sparker that can hassle a domino:

Code: Select all

x = 6, y = 11, rule = 127/34/3
2.2A$3.2A$4.2A4$2.2A$3.2A$4.2A$A$A!

And allowing B6 introduces this small c/6 spaceship:

Code: Select all

x = 3, y = 3, rule = 12/346/3
.2A$A.A$.2A!

[ebcube]

A frog rotates a simple still life 90º and reflects itself by 180º:

Code: Select all

x = 6, y = 13, rule = 12/34/3
A$A9$2.A2.A$2.A2.A$3.2A!

[David]

Oops... The spaceship has the code for the p4 repeated...

Fixed. Thank you.

[Fyrestorm]

Hello, I'm fairly new to Conway's Game of Life and recently have taken an interest to this rule in particular. I don't really know how to describe or name them well, but these haven't been posted yet.

P3 (Very similar to a previously mentioned P6)

Code: Select all

x = 4, y = 4, rule = 12/34/3
2.2A$.BA$3A$A!

P5

Code: Select all

x = 5, y = 5, rule = 12/34/3
A3.A$.A.A$2.A$.A.A$A3.A!

Another P6

Code: Select all

x = 4, y = 4, rule = 12/34/3
2A$.A$.2A$2.2A!

P18

Code: Select all

x = 7, y = 5, rule = 12/34/3
3.A$B.3A.B3$.2A.2A!

[AforAmpere]

I am kind of new to the forums but I have been really exploring this rule for a while.
I am bumping this because I have a few new discoveries and a question/challenge:
A period 90 oscillator:

Code: Select all

x = 46, y = 11, rule = 12/34/3
2$3.B24.B8.A3.A$6.A5.A3.A14.A6.A.A$3.A2.A6.A.A12.A2.A7.A$2.2A10.A12.
2A9.A.A$3.A2.A6.A.A12.A2.A5.A3.A$6.A5.A3.A14.A$3.B24.B!

An eater:

Code: Select all

x = 25, y = 27, rule = 12/34/3
22.2A$24.A$24.A$22.2A2$.B$4.A$.A2.A$2A$.A2.A$4.A$.B13$8.A2.A$8.A2.A$
9.2A!

And a few syntheses:

Code: Select all

x = 142, y = 371, rule = 12/34/3
13$21.2A$20.A2.A$20.A2.A2$25.2A$9.A17.A$10.A16.A$25.2A9$21.2A$20.A2.A
$20.A2.A2$25.ABA$25.A2B$25.A2B$9.2A14.ABA11$21.2A$20.A2.A$20.A2.A$9.A
.B$9.A$10.2A$23.A2.A$23.4A$24.2A17$25.2A$24.A2.A$24.A2.A6$24.2A$23.A
2.A$23.A2.A$9.A$10.A17.ABA$11.A16.A2B$28.A2B$28.ABA15$26.2A$25.A2.A$
9.A15.A2.A$10.A$11.A$12.A10.A2.A$23.A2.A$24.2A28$28.2A$27.A2.A$27.A2.
A3$25.2A$24.A15.2A$24.A17.A$9.A15.2A15.A$10.A29.2A$11.A$12.A15.A2.A$
13.A14.A2.A$29.2A25$51.2A$50.A2.A$50.A2.A7$19.ABA$19.2BA$19.2BA$19.AB
A15.ABA$37.2BA$12.A24.2BA3.2A43.A$11.A.A23.ABA5.A41.A$11.A.A31.A41.A$
12.A30.2A43.A2$33.ABA$33.2BA$33.2BA$33.ABA21$50.A2.A$50.A2.A$51.2A53$
70.2A$69.4A$69.A2.A11$73.2A$72.A2.A$72.A2.A5$65.2A$64.A2.A$64.A2.A3$
62.2A$61.A15.2A$61.A17.A45.2A$62.2A15.A47.A$77.2A48.A$125.2A$65.A2.A$
65.A2.A$15.A50.2A$13.3A$13.AB$12.2A20.2A$33.2A$33.2A$34.2A20$69.A2.A$
69.4A$70.2A31$60.A2.A$60.A2.A$61.2A!

Can these syntheses be improved on?
Also, is it possible to make a caterpillar-esqe spaceship out of these reactions?

Code: Select all

x = 220, y = 181, rule = 12/34/3
16$11.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.
A6.A6.A6.A3.A$10.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A3.AB$182.A2B$10.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A3.AB$11.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A3.A5$12.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A2.A
BA$11.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.
A6.A6.A6.A3.A2B$183.A2BA$11.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A3.A2B$12.A6.A6.A6.A6.A6.A6.A6.A6.A6.
A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A2.ABA66$177.ABA2.A$11.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
4.A2BA2.A$10.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A2B$179.A.A$10.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A2B$11.A6.A6.A6.A6.A6.A6.A6.A6.A6.
A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A4.A2BA2.A$177.ABA2.A3$22.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
$22.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A3$177.ABA2.A$11.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A4.A2BA2.A$10.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A2B$179.A.A$10.A6.A6.A6.A6.A
6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A2B$11.A6.
A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A6.A4.
A2BA2.A$177.ABA2.A42$15.A6.A6.A3.A$14.A6.A6.A3.AB$32.A2B$14.A6.A6.A3.
AB$15.A6.A6.A3.A5$13.A6.A6.A3.A$12.A6.A6.A3.AB$30.A2B$12.A6.A6.A3.AB$
13.A6.A6.A3.A5$15.A6.A6.A3.A$14.A6.A6.A3.AB$32.A2B$14.A6.A6.A3.AB$15.
A6.A6.A3.A!

[Neocaridina]

.

[silversmith]

Can anybody give me the c/6 diagonal spaceship? Apparently one is known but I can't find it.

Do you know who/what said one exists? The closest thing I found was the c/6d in Star Wars, which was a big discovery, but a very different rule.