2456/3457/4

[ebcube]

This rule has (as far as I know) two different spaceships with 4 variations (kind of like tagalongs) each:

Code: Select all

x = 78, y = 44, rule = 2456/3457/4
2$4.2A19.2A24.2A19.2A$3.4A17.4A22.4A17.4A$3.C2AC17.C2AC22.C2AC17.C2AC
$4.2B18.2AB23.3A19.2B$24.BC24.CB20.2A$51.B19.4A$71.C2AC$72.2B23$4.2A
20.2A23.2A19.2A$3.5A17.5A20.5A16.5A$3.CABAB17.CABAB20.CABAB16.CABAB$
3.2A.A18.2A.A21.2A.A17.2A.A$2.4AB17.4ACA19.4AB17.BCAB$2.CABC18.C2A.BC
19.CABCA18.2A$3.C20.2A.2A21.C21.2A$24.A.2AB$25.2AC$25.2A!

I've also found 3 oscillators:

Code: Select all

x = 23, y = 25, rule = 2456/3457/4
2$2.2A12.BC$3.2A12.3A$2.CB2A10.3A$2.BC.A12.CB12$3.2A$2.A2.A$.A4.A$.A
4.A$2.A2.A$3.2A!

EDIT: I managed to stabilize a third kind of spaceship:
EDIT2: Here you can see all the different spaceships, sorted by the width of its main "block":

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x = 97, y = 161, rule = 2456/3457/4
2$5.2A4.2A$5.2A4.2A2$5.2A4.2A$5.2A4.2A$22.2A19.2A24.2A19.2A$5.2A.2A.
2A8.4A17.4A22.4A17.4A$5.2A.2A.2A8.C2AC17.C2AC22.C2AC17.C2AC$22.2B18.
2AB23.3A19.2B$11.2A29.BC24.CB20.2A$11.2A56.B19.4A$89.C2AC$11.2A77.2B$
11.2A19$5.2A.2A.2A$5.2A.2A.2A2$5.2A15.2A20.2A23.2A19.2A$5.2A14.5A17.
5A20.5A16.5A$21.CABAB17.CABAB20.CABAB16.CABAB$5.2A.2A.2A8.2A.A18.2A.A
21.2A.A17.2A.A$5.2A.2A.2A7.4AB17.4ACA19.4AB17.BCAB$20.CABC18.C2A.BC
19.CABCA18.2A$11.2A8.C20.2A.2A21.C21.2A$11.2A29.A.2AB$43.2AC$5.2A.2A.
2A30.2A$5.2A.2A.2A26$5.2A.2A.2A$5.2A.2A.2A2$11.2A$11.2A8.4A18.4A22.2A
17.4A$19.7A15.7A19.6A13.7A$11.2A6.BABACAC15.BABACAC18.4ABAB13.BABACAC
$11.2A7.A.B3A16.A.B3A18.CACA.A15.A.B3A$19.A2B.2CB15.A2B.2CB18.2A.2BC
15.BA.2CB$11.2A6.C21.CA22.4A19.AB$11.2A52.C2AC18.BA$66.2B20.BA$11.2A
76.C$11.2A8$23.2A18.4A21.4A17.2A$21.6A14.7A18.7A14.6A$20.4ABAB14.BABA
CAC18.BABACAC13.4ABAB$20.CACA.A16.A.2AB20.A.2AB14.CACA.A$20.2A.2BC14.
4A2C19.4A2C15.3AC2BA$19.4A17.B4A20.B4A15.3AB3.C$19.C5A16.BC3A20.BC3A
14.C2A$20.C.BAB16.C3AC20.C3AC15.C2A$21.3A18.B.B22.CAB15.C2AB$20.B2AC
17.C2A24.B16.ABC$20.A2C19.B2A$42.2C9$22.2A$20.6A$19.4ABAB$19.CACA.A$
20.2AC2BA$20.C2A2.C$21.CB22$5.2A.2A.2A$5.2A.2A.2A$22.4A18.2A22.4A$5.
2A4.2A7.7A15.6A18.7A$5.2A4.2A6.3ABACAC13.5ABAB17.3ABACAC$19.C2A.B3A
13.B2ACA.A18.C2A.B3A$5.2A.2A.2A6.2A.A.2CB14.3AC2BA17.2A.A.2CB$5.2A.2A
.2A6.C2AB17.BCAB3.C16.4AB$20.BA19.C22.CACA$5.2A4.2A8.CB42.ACAB$5.2A4.
2A8.C44.2A$66.CBA$5.2A.2A.2A55.C$5.2A.2A.2A!

[ebcube]

An unstable width 9 spaceship is synthesized from a width 8 and a width 5:

Code: Select all

x = 23, y = 14, rule = 2456/3457/4
17.AB$17.3AB$16.2AB.AC$16.5AB$17.AC3AC$20.AC2$4.2A$2.6A$5ABAB$B2ACA.A
$.3AC2BA$BCAB3.C$.C!

I can't stabilize it... help?

[ebcube]

A lot of new stuff!

You can use this to make oscillators of almost any period (here, 60 and 120)

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x = 35, y = 58, rule = 2456/3457/4
.4A25.4A$6A23.6A$6A23.6A$6A23.6A$6A23.6A$.4A25.4A5$13.CA$12.B3A$12.B
3A$13.CA5$.4A25.4A$6A23.6A$6A23.6A$6A23.6A$6A23.6A$.4A25.4A11$.4A10.
4A$6A8.6A$6A8.6A$6A8.6A$6A8.6A$.4A10.4A5$5.AC$4.3AB$4.3AB$5.AC5$.4A
10.4A$6A8.6A$6A8.6A$6A8.6A$6A8.6A$.4A10.4A!

Also, this incredibly simple pattern (i don't know how i missed this before) sends a stream of width 4 spaceships:

Code: Select all

x = 8, y = 8, rule = 2456/3457/4
3.2A$2.A2.A$.A4.A$A6.A$A6.A$.A4.A$2.A2.A$3.2A!

I found more spaceships, this is the updated list:

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x = 96, y = 235, rule = 2456/3457/4
3$3.2A4.2A$3.2A4.2A2$3.2A4.2A$3.2A4.2A$20.2A19.2A24.2A19.2A$3.2A.2A.
2A8.4A17.4A22.4A17.4A$3.2A.2A.2A8.C2AC17.C2AC22.C2AC17.C2AC$20.2B18.
2AB23.3A19.2B$9.2A29.BC24.CB20.2A$9.2A56.B19.4A$87.C2AC$9.2A77.2B$9.
2A11$20.2A$19.4A$19.C2AC$19.4A$18.2A2.2A$18.C4AC$19.B2AB$20.2A$20.2C
22$3.2A.2A.2A$3.2A.2A.2A2$3.2A15.2A20.2A23.2A19.2A$3.2A14.5A17.5A20.
5A16.5A$19.CABAB17.CABAB20.CABAB16.CABAB$3.2A.2A.2A8.2A.A18.2A.A21.2A
.A17.2A.A$3.2A.2A.2A7.4AB17.4ACA19.4AB17.BCAB$18.CABC18.C2A.BC19.CABC
A18.2A$9.2A8.C20.2A.2A21.C21.2A$9.2A29.A.2AB$41.2AC$3.2A.2A.2A30.2A$
3.2A.2A.2A24$3.2A.2A.2A$3.2A.2A.2A$19.4A17.4A22.4A19.2A$3.2A12.5AB15.
5AB20.5AB17.5A$3.2A12.B2ACA16.B2ACA21.B2ACA17.3ABAC$18.ACABA16.2A.3A
20.3ABA16.C2A.2A$3.2A.2A.2A7.B2A.C16.CB.4A18.B3A.C17.A.BCB$3.2A.2A.2A
7.ABAB18.3ACAC18.CBA19.2C.2A$18.B2A19.B4A20.BC.C18.C.CA$3.2A4.2A8.BC
19.2ACBC20.2A20.B.CB$3.2A4.2A7.C21.B3.B43.B$40.C2.2B$3.2A.2A.2A32.A$
3.2A.2A.2A31.CAB$42.ABC9$19.4A$17.5AB$17.B2ACA$18.2A.3A$18.CB.4A$19.
3ACAC$19.4AB$20.BCA2C$19.C.B2AB$19.CAC.A$19.BC24$3.2A.2A.2A$3.2A.2A.
2A2$9.2A$9.2A8.4A18.4A22.2A17.4A$17.7A15.7A19.6A13.7A$9.2A6.BABACAC
15.BABACAC18.4ABAB13.BABACAC$9.2A7.A.B3A16.A.B3A18.CACA.A15.A.B3A$17.
A2B.2CB15.A2B.2CB18.2A.2BC15.BA.2CB$9.2A6.C21.CA22.4A19.AB$9.2A52.C2A
C18.BA$64.2B20.BA$9.2A76.C$9.2A8$21.2A18.4A21.4A17.2A$19.6A14.7A18.7A
14.6A$18.4ABAB14.BABACAC18.BABACAC13.4ABAB$18.CACA.A16.A.2AB20.A.2AB
14.CACA.A$18.2A.2BC14.4A2C19.4A2C15.3AC2BA$17.4A17.B4A20.B4A15.3AB3.C
$17.C5A16.BC3A20.BC3A14.C2A$18.C.BAB16.C3AC20.C3AC15.C2A$19.3A18.B.B
22.CAB15.C2AB$18.B2AC17.C2A24.B16.ABC$18.A2C19.B2A$40.2C37$3.2A.2A.2A
$3.2A.2A.2A$20.4A18.2A22.4A17.2A$3.2A4.2A7.7A15.6A18.7A14.6A$3.2A4.2A
6.3ABACAC13.5ABAB17.3ABACAC12.5ABAB$17.C2A.B3A13.B2ACA.A18.C2A.B3A12.
B2ACA.A$3.2A.2A.2A6.2A.A.2CB14.3AC2BA17.2A.A.2CB13.ACAC2BA$3.2A.2A.2A
6.C2AB17.BCAB3.C16.4AB16.A3B3.C$18.BA19.C22.CACA17.CAC$3.2A4.2A8.CB
42.ACAB$3.2A4.2A8.C44.2A$64.CBA$3.2A.2A.2A55.C$3.2A.2A.2A!

I'm still trying to stabilize the width 9 spaceship. It lasts around 100 generations:

Code: Select all

x = 67, y = 42, rule = 2456/3457/4
3$5.BA$3.B3A$2.CA.B2A$2.B5A$.C3ACA$2.CA8$13.2ACA$11.2A.4ACA$11.3A.6A$
12.C2A.A.B2A$13.BABC3A$15.CA.BA2$26.BA$24.B3A$23.CA.B2A30.AB$23.B5A
30.3AB$22.C3ACA30.2AB.AC$23.CA33.5AB$59.AC3AC$62.AC2$46.2A$44.6A$42.
5ABAB$42.B2ACA.A$43.3AC2BA$42.BCAB3.C$43.C!

[ebcube]

Two width 7 spaceships can be "tied" together to create a wickstretcher:

Code: Select all

x = 9, y = 12, rule = 2456/3457/4
4.4A$2.7A$2.BABACAC$3.A.B3A$3.BA.2CB$4.AB$3.BA$B2C.AB$3AB.A$CACABAB$
7A$.4A!

[DroneBetter]

Hello, people of 2010, I hail from the distant future (wherein apgsearch supports generations rules)
You all seemed to miss this small undulating-looking c/9 spaceship

Code: Select all

x = 5, y = 5, rule = S2456/B3457/4
3AC$B4A$2A.AC$B4A$3AC!

also, c/2 backrakes (of second-smallest spaceship at p36, and smallest at p88, p92 p146, p178 and p264)

Code: Select all

x = 82, y = 26, rule = 2456/3457/4
4A$B2AB70.2A$.2A70.4A$.2C56.3A11.C2AC$.3A53.2AC3A8.3A2B3A$3AB51.4A.2A
C6.4AC2.C4A$C2A16.2A33.3ABA.AB7.BAB6ABAB$.B.2A13.4A32.CAB.2A10.A.2A2C
2A.A$.C2AB13.C2AC12.4A4.4A8.2A2B2A9.AC3A2.3ACA$.ACA6.4A5.2BABA10.B4A
2.4AB8.2A2BAC8.6A2.6A$ABC2B3.5AB7.C.3A9.ACAC2.CACA10.ABA2.C8.BA2B4.2B
AB$BACA4.B2ACA9.5A6.3A.2A2.2A.3A8.3A.BC9.2C.C2.C.2C$B2ABA4.2A.3A6.3AC
AC6.B3ABA2.AB3AB9.B4A$CBC.A4.2C6A5.2A.BA7.5A2.5A11.ABC$2.ACBA5.2AC2AB
4.4A.2A5.BA.2AC2AC2A.AB$3.BA6.CBACA5.B2AB3A5.2AC2.A2BA2.C2A$12.CB3A3.
C2.ABAC8.4A2B4A$13.ABC4.5A10.ABAC2ACABA$20.B.A.A11.A.4A.A12.C$13.C7.B
2A14.4A2$.C37.2C$.ABC10.2C6.2C31.2C17.2C$2.2A10.2A6.2A15.2A14.2A17.2A
$.B2AB8.B2AB4.B2AB13.B2AB12.B2AB15.B2AB$.4A8.4A4.4A13.4A12.4A15.4A!

Nontrivial p24 from D8_1

Code: Select all

x = 9, y = 9, rule = S2456/B3457/4
4.C2A$4.5A$3.2A2.2A$2.A.2A.2A$C3A.4A$2A.2A.A$2A2.2A$.4A$.4A!

There are many high-period spaceships on Catagolue, however seemingly no others slower than c/2.

Edit 1: More puffers