A Wire-like World

[silversmith]

This is a rule with signal based construction, and three known "elementary" ships.

-There is a growing ship made of a c/3 wickstretcher and a c/5 backend.

-Another is a c/3 frontend which produces a signal that pulls the back end.

-The last is a 2c/8 backend whose two signals push the front.

The construction is based on a signal generator and a information strip. The signals travel on opposite sides of a construction arm. When the signals combine at the end they can push, pull, and turn the arm in both directions.

Code: Select all

x = 85, y = 50, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
56.BA$49.14AB$49.A12.2A$49.A12.A$49.A12.A2.20A$48.2A12.A2.A18.A$48.B
14A2.A.18A$54.AB9.A.A$65.A.A$67.A$67.A12.A$67.A11.3A$67AB11.A.A$A.BA9.
BA9.BA5.BA14.BA10.BA5.BA11.A.A$A70.A7.3A$A71.3A4.3A$A2.AB4.AB5.AB5.AB
4.AB4.AB5.AB10.AB5.AB9.A.A$67A5.A.A$66.A5.A.A$66.A5.3A$67A12.A$A5.BA
9.BA9.BA5.BA27.BA13.A$2A77.3A$AB77.3A$A5.AB38.AB5.AB5.AB9.A$67A5.3A$
66.A5.A.A$66.A5.A.A$67A5.A.A$ABA5.BA5.BA5.BA48.A.A$A71.A.A4.A$A71.A.A4.
A$A13.AB4.AB4.AB5.AB5.AB5.AB7.AB5.AB7.A.A4.A$67A5.A.A4.A$66.A5.A.A4.A
$66.2A4.A.A4.A$67AB4.A.A4.A$A9.BA5.BA41.BA10.A.A4.A$A71.A.A4.3A$A71.
3A4.3A$A50.AB6.AB4.AB$67A$66.A$66.A$67A$A4.BA5.BA5.BA4.BA4.BA31.BA$A$A
$A5.AB21.AB5.AB$39A!

Later I will post examples of the various commands/reactions used.

Edit-Mar 21: Here is an example of signal based construction in this rule.

Code: Select all

x = 137, y = 70, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
4.77A$4.A2.BA5.BA4.BA4.BA4.BA4.BA4.BA4.BA4.BA22.A3.4A$4.A75.A3.A2.A$
4.A75.A3.A2.A.BA5.BA11.BA5.BA$4A.A5.AB5.AB5.AB8.AB14.AB5.AB5.AB13.A2.
2A2.A.40AB$A3.B4.72A2.BA2.AB.A37.BA$A8.A74.B2ABA.A.37A$A8.A80.A.A$A8.
72A9.A.A$A11.BA5.BA9.BA4.BA26.BA14.A11.A$A79.A.11A$A79.A.A3.BA7.A$A13.
AB4.AB15.AB4.AB4.AB10.AB4.AB11.A.A12.A$A4.76A.2A8.3A$A4.A76.AB8.A3.2A
$A4.A76.A9.A$A4.77A10.45A$A17.BA25.BA5.BA7.BA4.BA9.BA56.A$A135.A$A
135.A$A135.A$A4.132A$A4.A$A4.A$A4.132A$A9.BA4.BA4.BA4.BA4.BA4.BA4.BA8.BA
4.BA4.BA66.A$A135.A$A135.A$A17.AB5.AB5.AB12.AB88.A$A4.132A$A4.A$A4.A$
A4.132A$A30.BA23.BA7.BA5.BA6.BA6.BA6.BA6.BA16.BA7.BA3.A$A135.A$A135.A
$A4.AB4.AB6.AB4.AB7.AB5.AB7.AB4.AB4.AB4.AB5.AB18.AB8.AB27.ABA$A4.B
131A$A4.A$A4.A$A4.132A$A4.BA6.BA4.BA4.BA9.BA5.BA36.BA5.BA9.BA4.BA6.BA4.B
A4.BA6.BA.A$A135.A$A135.A$2A12.AB26.AB20.AB4.AB17.AB6.AB6.AB6.AB4.AB
6.AB4.AB.A$AB3.132A$A4.A$A4.A$A4.132A$A93.BA16.BA6.BA14.A$A135.A$A134.
BA$A15.AB20.AB5.AB8.AB8.AB5.AB11.AB8.AB4.AB8.AB5.AB7.AB6.2A$A4.132A$A
4.A$A4.A$A4.132A$A18.BA4.BA33.BA4.BA15.BA4.BA6.BA4.BA4.BA6.BA4.BA4.BA
5.A$A135.A$A135.A$A42.AB26.AB10.AB4.AB5.AB15.AB5.AB9.AB3.A$A4.132A$A
4.A$A4.A$A4.132A$A107.BA26.A$A134.BA$A134.2A$A5.AB5.AB26.AB5.AB9.AB10.
AB4.AB4.AB6.AB4.AB4.AB6.AB4.AB9.AB6.A$137A!

Edit 2022 Dec 18- current pattern collection

Code: Select all

x = 93, y = 133, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
74.A3.5A$79.AB2.A$32.A22.AB9.A14.2A$.BA7.BA4.BA3.BA2.BA.BA2.A17.8A7.BA
$32A6.A5.BA4.A14.2A7.A$33.2A8.5A2.A15.A11.BA$47.A2.A15.A11.5A$47.A2.A
15.A12.A2.A$38.A9.3A15.A7.A3.B3AB$32.A12.2A19.3A12.BA$32.A28.BA$.BA7.B
A4.BA3.BA2.BA.BA2.A27.6A$32A6.A26.A8.A6.BA2.BA2.BA$33.2A30.A12.AB10AB$
51.2A25.2B10.A$51.2A25.AB4A2.B.3A$38.A12.A22.A7.2A2.3A$33.A17.A.3A26.
2A4.A$33.A17.A3.A25.B.5A$.BA7.BA4.BA3.BA2.BA.BA3.A17.5A23.B$32A6.A35.A
3.B12A$32.A27.A9.A7.A11.A$32.A11.A11.A3.A3.BA4.A7.B11A$44.A5.BA4.A3.A.
7A.A8.BA2.BA2.BA$38.A6.11A4.A.A5.A.A3.A$43.A3.A5.A3.A4.A5.A$43.A3.A5.A
3.A4.A5.A$.BA7.BA4.BA3.BA2.BA.BA54.3A$34A4.A35.A6.A2.A.A$32.2A23.A10.A
12.2A2.A.A$29.2A26.A10.A9.B2.AB3.B$57.12A10.4A$38.A42.A$68.4A9.A$32.3A
15.BA27.4A$.BA7.BA4.BA3.BA2.BA.BA16.16A16.B2.AB3.B$33A5.A7.A2.A8.A2.A
19.2A2.A.A$46.A2.A8.A2.A19.A2.A.A$46.3A.2A4.2A.3A22.3A$49.A8.A$38.A10.
A8.A$.BA7.BA4.BA3.BA2.BA.BA$32A53.2A$31.A11.BA28.13A$29.3A6.A4.6AB23.A
11.A$33.2A8.A4.2A23.A11.A$43.A4.A24.17A$43.A4.A2.15A23.A$33.A4.A3.2A4.
A2.A12.2A4.20A$33.A8.B6A2.A9.2A$.BA7.BA4.BA3.BA2.BA.BA3.A13.AB2.A$32A.
A17.A$31.A6.A$31.A$65.A$65.A$31.A6.A16.10A$.BA7.BA4.BA3.BA2.BA.BA.A23.
A10.A$34A21.A10.A$30.A24.10A$30.A7.A5.2A19.A$44.2A19.A$28.A16.A3.7A$
28.A14.A.4A6.A$30.2A6.A4.A4.A6.A9.A$43.A4.A6.A9.A$.BA7.BA4.BA3.BA2.BA
28.10A$34A32.A$38.A27.A4$20.A28.BA10.BA$20.A8.2B2.B2.B.3B7.22A10.2B2.B
2.B.3B$17.2A9.B2.B.2B.B.B2.B27.A9.B2.B.2B.B.B2.B$28.4B.B.2B.B2.B22.2A
3.A9.4B.B.2B.B2.B$.21A6.B2.B.B2.B.B2.B25.3A2.4A3.B2.B.B2.B.B2.B$2.BA
10.BA7.4A.B2.B.B2.B.3B25.A5.A2.A3.B2.B.B2.B.3B$23.A2.A39.A5.A2.A$23.A
2.A45.4A$23.4A$5.BA4.BA36.BA4.BA19.17A$.21A5.45A4.2A$20.2A5.2A41.2A7.A
$17.2A11.2A35.2A10.A5$2.BA10.BA$.24A12.2B2.3B$24.A11.B2.B.B2.B$24.A11.
B2.B.3B$22.3A11.B2.B.B2.B24.4A2.B2.B2.2B2.3B$24.8A5.2B2.B2.B24.A2.A2.B
2.B.B2.B.B2.B$24.A6.A37.A2.A3.2B2.B2.B.3B$24.A3.2A.A16.BA10.BA7.4A2.B
2.B.B2.B.B2.B$24.3A4.A2.34A7.B2.B2.2B2.B2.B$27.A2.2A2.A$11.BA4.BA8.A2.
2A2.A29.A$.24A9.A29.A3.23A$24.A9.A33.A$24.A9.A33.A$24.A9.A19.BA4.BA6.A
$24.11A12.22A4$23.4A$23.A2.A40.A$23.A2.A40.A$23.4A17.3B2.B3.2B2.2B.B2.
3B.A3.2B2.3B2.B2.2B$14.8A23.B2.B.B.B3.B3.B2.B3.A3.B.B.B3.B.B.B.B$14.A
30.B2.B.B.B.B.B.B.B2.3B.A3.2B2.3B.3B.B.B$14.A.3A26.B2.B.B.B.B.B.B.B2.B
3.A3.B.B.B3.B.B.B.B$14.A3.A3.13A10.B3.B3.B3.B2.2B.3B.A3.B.B.3B.B.B.2B$
14.A3.A3.A44.A$2.BA10.5A3.A.3A40.21A$.12A9.A3.A25.BA5.BA7.AB7.AB2.AB$
22.A3.A23.16A$9.A12.5A38.A$9.A3.8A42.3A$13.A53.2A$13.A3.A$13.A3.A3.13A
$13.3A5.A$16.A4.A$6.BA8.A4.A$.13A7.A2.3B.3B3.2B3.3B2.3B2.2B2.B2.B.4B.
3B$13.A7.A.B4.B2.B.B2.B.B4.B4.B2.B.B2.B.B4.B2.B$13.A7.A.B4.3B2.B2.B2.
2B3.2B2.B2.B.B2.B.3B2.3B$13.A7.A.B4.B2.B.B2.B4.B4.B.B2.B2.2B2.B4.B2.B$
13.9A2.3B.B2.B2.2B2.3B2.3B3.2B3.2B2.4B.B2.B!

current instruction collection for a 7-13 delay toolkit

Code: Select all

 x = 237, y = 181, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
233.BA$223.14A$223.A12.A$104.BA5.BA11.BA5.BA90.14A$102.33A$102.A31.A$
102.33A90.BA5.BA$105.BA15.BA6.BA90.15A$222.A13.A$222.15A$224.BA5.BA4$
104.BA5.BA11.BA5.BA$95.40A$95.A38.A$95.40A90.BA5.BA$97.BA23.BA6.BA91.
14A$223.A12.A$223.14A$226.BA5.BA6$217.BA5.BA$2.BA5.BA11.BA5.BA11.BA5.
BA11.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA76.21A4.5A$135A72.A19.A4.A3.A$A
133.A72.21A4.5A$135A82.BA5.BA$17.BA5.BA5.BA6.BA7.BA11.BA16.BA4.BA23.B
A9.BA4.BA3$226.BA$134.3A86.9A2.3A$134.A.A86.A7.A2.A.A$134.3A86.9A2.A.
A$228.BA4.A.A$234.A.A$234.3A2$70.BA11.BA5.BA11.BA5.BA11.BA5.BA$66.69A
$66.A67.A$66.69A$68.BA13.BA4.BA15.BA11.BA10.BA72.BA5.BA11.BA5.BA$203.
34A$203.A32.A$134.3A66.34A$134.A.A73.BA8.BA5.BA4.BA$134.3A4$107.BA5.B
A6.BA81.BA5.BA11.BA5.BA$105.21A4.5A68.34A$105.A19.A4.A3.A68.A32.A$105.
21A4.5A68.34A$115.BA5.BA83.BA11.BA5.BA4.BA4$200.BA11.BA5.BA11.BA$198.
39A$64.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA65.A37.A$60.75A63.39A$60.A73.
A75.BA5.BA6.BA6.BA$60.75A$88.BA6.BA4.BA4.BA7.BA4.BA6.BA3$173.BA5.BA11.
BA5.BA11.BA5.BA11.BA$171.66A$171.A64.A$171.66A$176.BA39.BA6.BA6.BA2$64.
BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA$60.75A$60.A73.A31.BA5.BA11.BA5.BA11.
BA5.BA11.BA5.BA$60.75A29.73A$66.BA7.BA18.BA11.BA7.BA4.BA6.BA31.A71.A$
164.73A$181.BA43.BA4.BA5$44.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA11.BA5.B
A$40.95A92.10A$40.A93.A92.A8.A$40.95A92.8A.A$94.BA5.BA4.BA8.BA4.BA6.B
A101.A.A$234.A.A$234.A.A$143.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA11.BA5.
BA2.A.A$139.96A.A$139.A96.A$139.98A$141.BA5.BA11.BA5.BA12.BA4.BA34.BA
4$42.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA$38.97A$38.A95.A$38.97A
$54.BA11.BA5.BA5.BA4.BA4.BA10.BA11.BA10.BA6$84.BA5.BA11.BA5.BA11.BA5.
BA$82.53A$82.A51.A$82.53A$104.BA4.BA13.BA4.BA6$84.BA5.BA11.BA5.BA11.B
A5.BA$82.53A$82.A51.A$82.53A$96.BA5.BA6.BA7.BA4.BA4.BA6$64.BA5.BA11.B
A5.BA11.BA5.BA11.BA5.BA$60.75A$60.A73.A$60.75A$70.BA8.BA6.BA24.BA7.BA
6.BA7$84.BA5.BA11.BA5.BA11.BA5.BA$82.53A$82.A51.A$82.53A$86.BA11.BA5.
BA17.BA4.BA5$64.BA5.BA11.BA5.BA11.BA5.BA11.BA5.BA$62.73A$62.A71.A$62.
73A$100.BA8.BA5.BA4.BA6.BA9$84.BA5.BA11.BA5.BA11.BA5.BA$79.56A$79.A54.
A4.2A$79.56A$81.BA5.BA5.BA10.BA4.BA4.BA4.BA4.BA4$91.BA5.BA11.BA5.BA11.
BA$89.46A$89.A44.A4.2A$89.46A$94.BA29.BA4.BA!

[Moosey]

c/5 frontend from rls

Code: Select all

x = 50, y = 17, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
...............................................$
.............................................A.$
.....AB..AB..AB..AB..AB..AB..AB..AB..AB..AB..A$
...AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA..A$
...A......................................A...$
...AAAA.AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA....$
.....AB.A..................................AA..$
.BBA....AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA.$
A.BAAAAAA.....................................$
.BBA....AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA.$
.....AB.A..................................AA..$
...AAAA.AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA....$
...A......................................A...$
...AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA..A$
.....AB..AB..AB..AB..AB..AB..AB..AB..AB..AB..A$
.............................................A.$
...............................................!

EDIT: I like some of these methuselahs:

Code: Select all

x = 20, y = 5, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
20A$A18.A$A13.6A$14.A3.AB$2A12.A!

also in lifelib format, this rule is g3b2ce3aejnr4aj5y6as1e2-a3-cij4aijkrtz5cnqr

see:
https://catagolue.appspot.com/census/g3 ... tz5cnqr/C1

[cvojan]

c/3 push:

Code: Select all

x = 5, y = 118, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
.3A$.A.A$.A.A$.A.AB$.A.2A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.
A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A
.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.
A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$
.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A
$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.
A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A
.A$.A.A$.A.A$.A.A$.A.A$.A.A$BA.AB$2A.2A$.A.A$BA.AB$2A.2A$.A.A$BA.AB$2A
.2A$.A.A$.A.A$BA.A$2A.A$.A.A$.A.A$.A$.A!

[Yoel]

Generic loop oscillators for any period starting from 4 (2 types, external and internal loop):

Code: Select all

x = 125, y = 33, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
5$4.A3.A7.5A7.5A6.5A6.5A5.5A6.A2.5A6.A4.A7.A2.4A6.A2.5A$4.A3.A7.A11.A
14.A6.A3.A5.A3.A6.A2.A3.A6.A4.A7.A5.A6.A6.A$4.A3.A7.A11.A14.A6.A3.A5.
A3.A6.A2.A3.A6.A4.A7.A5.A6.A6.A$4.A3.A7.A11.A14.A6.5A5.A3.A6.A2.A3.A
6.A4.A7.A5.A6.A6.A$4.5A7.5A7.5A8.3A8.A7.A3.A6.A2.A3.A6.A4.A7.A2.4A6.A
3.4A$8.A11.A7.A3.A8.A10.A7.5A6.A2.A3.A6.A4.A7.A2.A9.A6.A$8.A11.A7.A3.
A6.3A8.5A9.A6.A2.A3.A6.A4.A7.A2.A9.A6.A$8.A11.A7.A3.A6.A10.A3.A9.A6.A
2.A3.A6.A4.A7.A2.A9.A6.A$8.A11.A7.A3.A6.A10.A3.A9.A6.A2.A3.A6.A4.A7.A
2.A9.A6.A$8.A7.5A7.5A17.5A5.5A6.A2.5A6.A4.A7.A2.4A6.A2.5A3$74.BA13.BA
23.BA$3.7A4.8A6.A9.7A18.BA8.B3A9.4AB8.6AB7.B6A$3.A.BA2.A4.A.BA3.A5.B.
2AB6.A4.BA17.2AB8.A2.A9.A3.A8.A4.2A7.A5.A$3.A4.BA4.A5.BA6.A2.AB5.A4.
2A5.4AB6.A2.A8.A2.A9.A3.A8.A4.A8.A5.A$3.2A3.2A4.A5.2A6.A2.2A5.2A4.A5.
A2.2A6.A2.A8.A2.A9.A3.A8.A4.A8.A5.A$3.AB4.A4.2A5.A6.A2.A6.AB4.A4.2A2.
A7.A2.A8.A2.A9.A3.A7.2A4.A8.A5.A$3.A2.AB.A4.AB5.A6.B2A7.7A4.B4A7.B2A
9.3AB9.B4A7.B6A8.6AB$3.7A4.A3.AB.A6.AB31.AB11.AB10.AB29.AB$14.8A!

EDIT:

p4, p6:

Code: Select all

x = 20, y = 11, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
4$14.4A$3.4A7.2ABA$3.A.BA7.A2.A$3.A.2A7.A2.A$3.4A7.4A!

Self-destructing pseudo-loop:

Code: Select all

x = 22, y = 25, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
3$13.BA$11.8A$11.A6.A$11.A6.A$11.A6.A$11.A6.A$11.A6.A$11.A6.A$4.8A6.A
$4.A13.A$4.A13.A$4.A13.A$4.A13.A$4.A13.A$4.A13.A$4.A4.AB7.A$4.15A!

c/3 puffer/wickstretcher seeds:

Code: Select all

x = 17, y = 16, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
3$7.3A$6.A3.A$7.3A4$4.9A$3.A2.BA.AB2.A$4.2A5.2A!

[yujh]

Generic loop oscillators for any period starting from 4 (2 types, external and internal loop):

Code: Select all

x = 125, y = 33, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
5$4.A3.A7.5A7.5A6.5A6.5A5.5A6.A2.5A6.A4.A7.A2.4A6.A2.5A$4.A3.A7.A11.A
14.A6.A3.A5.A3.A6.A2.A3.A6.A4.A7.A5.A6.A6.A$4.A3.A7.A11.A14.A6.A3.A5.
A3.A6.A2.A3.A6.A4.A7.A5.A6.A6.A$4.A3.A7.A11.A14.A6.5A5.A3.A6.A2.A3.A
6.A4.A7.A5.A6.A6.A$4.5A7.5A7.5A8.3A8.A7.A3.A6.A2.A3.A6.A4.A7.A2.4A6.A
3.4A$8.A11.A7.A3.A8.A10.A7.5A6.A2.A3.A6.A4.A7.A2.A9.A6.A$8.A11.A7.A3.
A6.3A8.5A9.A6.A2.A3.A6.A4.A7.A2.A9.A6.A$8.A11.A7.A3.A6.A10.A3.A9.A6.A
2.A3.A6.A4.A7.A2.A9.A6.A$8.A11.A7.A3.A6.A10.A3.A9.A6.A2.A3.A6.A4.A7.A
2.A9.A6.A$8.A7.5A7.5A17.5A5.5A6.A2.5A6.A4.A7.A2.4A6.A2.5A3$74.BA13.BA
23.BA$3.7A4.8A6.A9.7A18.BA8.B3A9.4AB8.6AB7.B6A$3.A.BA2.A4.A.BA3.A5.B.
2AB6.A4.BA17.2AB8.A2.A9.A3.A8.A4.2A7.A5.A$3.A4.BA4.A5.BA6.A2.AB5.A4.
2A5.4AB6.A2.A8.A2.A9.A3.A8.A4.A8.A5.A$3.2A3.2A4.A5.2A6.A2.2A5.2A4.A5.
A2.2A6.A2.A8.A2.A9.A3.A8.A4.A8.A5.A$3.AB4.A4.2A5.A6.A2.A6.AB4.A4.2A2.
A7.A2.A8.A2.A9.A3.A7.2A4.A8.A5.A$3.A2.AB.A4.AB5.A6.B2A7.7A4.B4A7.B2A
9.3AB9.B4A7.B6A8.6AB$3.7A4.A3.AB.A6.AB31.AB11.AB10.AB29.AB$14.8A!

from P3

Code: Select all

x = 6, y = 7, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
.A.BA$B.2AB$.A2.AB$2A2.2A$BA2.A$.B2A.B$.AB.A!

[Yoel]

from P3

More p3:

Code: Select all

x = 25, y = 14, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
2$17.A$17.A$13.2A5.2A$3.4A8.5A$3.A.AB8.A.A.A$3.2A10.A.A.A$3.AB10.5A$
13.2A5.2A$17.A$17.A!

"Electron"-emitting p10:

Code: Select all

x = 31, y = 35, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
4$7.AB$6.3A.BA5.BA.BA$8.18A$8.A16.A$8.A16.2A$8.A16.AB$7.BA16.A$7.2A
16.A$8.A16.A$7.BA16.A$7.2A16.A$8.A16.2A$8.A16.AB$8.A16.A$8.A16.2A$8.A
16.AB$7.BA16.A$7.2A16.A$8.A16.A$8.18A$12.AB.AB5.AB.3A$25.BA!

[silversmith]

Here are the basic commands I found for the construction arm:

-1 line pull

Code: Select all

x = 17, y = 2, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
3.BA$17A!

+1 push

Code: Select all

x = 17, y = 4, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
3.BA$17A$16.A$2.15A!

no action

Code: Select all

x = 17, y = 5, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
3.BA$17A$16.A$2.15A$5.BA!

left turn

Code: Select all

x = 17, y = 5, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
3.BA5.BA$17A$16.A$2.15A$4.BA5.BA!

right turn

Code: Select all

x = 17, y = 5, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
4.BA5.BA$17A$16.A$2.15A$3.BA5.BA!

-5 pull

Code: Select all

x = 38, y = 5, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
11.BA5.BA6.BA6.BA$9.29A$37.A$38A$.BA11.BA5.BA11.BA!

Edit: Here is a joiner(OR gate) and a splitter for electron streams.

Code: Select all

x = 43, y = 13, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
2.BA$17A$16.A$12.3A.A2.15A2.7A$12.A3.A2.A13.A2.A$12.A3.A2.A13.A2.A$
12.5A2.A9.5A2.A$19.A9.A6.A$19.A9.A6.A$19.A9.A$13.BA4.A9.A$6.14A9.A$29.
14A!

Edit: Here is an AND gate.

Code: Select all

x = 18, y = 53, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
10.A$10.A$10.A$10.A$10.A$10.A$7.A2.A$7.A2.A$7.4A$5A9.4A$A3.A9.A2.A$A
3.A9.A2.A$A3.A2.5A2.A2.A$A3.A2.A3.A2.A2.A$A3.A2.A3.A2.A2.A$A4.2A5.2A3.
A$A.2A4.3A4.A.A$A14.A.A$9A8.A$8.A8.A$8.A.8A$8.A.A$8.A.A$7.2A.2A$7.BA.
AB$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$
7.2A.A$7.BA.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$8.A.A$
8.A.A$8.A.A$8.A.2A$8.A.AB$10.A$10.A!

[Yoel]

Edit: Here is a joiner and a splitter for electron streams.

Using such constructions, you can probably reproduce all sorts of Wireworld-like logic gates and computation circuits.

Perhaps, this reaction or something similar may serve as an element of a gun:

Code: Select all

x = 38, y = 12, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
4$35.A$10.BA5.BA11.BA3.A$3.33A!

Here is a simple zigzag-producing program:

Code: Select all

x = 77, y = 72, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
5$6.BA5.BA5.BA$6.44A$6.A42.A$6.A42.A$6.A42.A2.11A$6.A42.A2.A9.A$5.A.
43A2.A.9A$6.B5.AB5.AB5.AB5.AB17.A.A$52.A.A$54.A$54.A$54.A$54.A$54.A$
54.A$50.5A3$52.6A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.
A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$51.BA4.A$51.2A4.
A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$51.BA4.A$51.2A4.A$52.A4.A$
52.A4.2A$52.A4.AB$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.2A$
52.A4.AB$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A4.A$52.A
4.A$52.A4.A$52.A4.A$52.6A!

[silversmith]

Universal computation and construction would be awesome.

Here is an ANDNOT gate:

Code: Select all

x = 28, y = 14, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
14.2A$11.2A$13.A$13.A$A12.15A$5A22.A$A3.A22.A$A3.A2.6A14.A$A3.A2.A4.A
14.A$5A2.A4.A14.A$7.A4.A14.A$7.A4.A14.A$12.A14.A$12.16A!

Another signal splitter, which can also flip an electron to the other side of a wire:

Code: Select all

x = 16, y = 14, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
8.8A$8.A$8.A$8.8A2$.BA$9A$8.A$8.A$8.A$8.8A3$8.8A!

And here is a synthesis for the shortest back-engine ship that was posted elsewhere.

Code: Select all

x = 25, y = 193, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
.3A$.A.A$.A.A$.A.A$.A.A$.A.A17.3A$.A.A17.A.A$2A.A17.A.A$BA.2A16.A.A$.
A.AB16.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$2A.A17.A.A$BA.
2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$2A.A17.A.A$BA.A
17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$2A.A17.A.A$BA.A17.
A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$2A.A17.A.A$BA.A17.A.A
$.A.A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$2A.A17.A.A$BA.A17.A.A$
.A.A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$2A.A17.A.A$BA.A17.A.A$.
A.A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$2A.A17.A.A$BA.A17.A.A$.A
.A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$2A.A17.A.A$BA.A17.A.A$BA.
A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$2A.A17.A.A$BA.A17.A.A$.A.A
17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A17.A.A$.A.A
17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A17.A.A$.A.A
17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.
A.A$.A.A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A17.A
.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A16.2A.2A$.A.A16.BA.AB$.A.A17.
A.A$.A.2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A16.2A.A$.A.A16.BA.A$.A.A
16.BA.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.2A16.A.A$.A.AB
16.A.A$.A.A17.A.2A$.A.A17.A.AB$.A.A17.A.A$.A.A17.A.A$.A.A17.A.A$.A.A17.
A.A$.A.A17.A.2A$.A.A17.A.AB$.A.2A16.A.A$.A.AB16.A.A$.A.A17.A.A$.A.A
17.A.A$.A.A17.A.2A$.A.A17.A.AB$2A.A17.A.A$BA.A17.A.A$.A.A17.3A$.A.A$.A.
A$.A.A$.A.A$.A.A$2A.A$BA.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$2A.A$BA.A$.A
.A$.A.A$.A.A$.A.2A$2A.AB$BA.A$.A.A$.A.A$.A.A$.A.A$.A.A$2A.A$BA.A$.A.A
$.A.A$.A.A$.A.A$.A.A$.A.A$.A.2A$.A.AB$.A.A$.A.A$.A.A$.A.A$.A.A$.A.2A$
.A.AB$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$.A.A$2A.A$BA.A$.A.A$.A.
A$.A.A$.A.A$2A.A$BA.A$.A.2A$.A.AB$.A.A$.A$.A$2A$BA$.A$.A!

[Yoel]

Universal computation and construction would be awesome.

For universal computation, you'll probably need to discover a diode (look how it's used in Wireworld), a stable 180° electron reflector, some triggering mechanism for reprogramming memory loops and a scheme for wire crossing (that's where diodes may come to use). If you find those things, it would be, IMHO, already an informal proof of universal computation. You'll just need to build a W110 simulator or directly a tag machine of some sort.

An automatically growing arm with a controller:

Code: Select all

x = 64, y = 73, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
6$30.BA4.BA$4.44A$4.A42.A$4.A42.A$4.A42.A2.8A$4.A42.A2.A6.A$4.44A2.A.
6A$27.AB21.A.A$50.A.A$52.A$52.A$52.A$52.A$52.A$52.A$48.5A3$50.6A$50.A
4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.2A$50.A4.AB$50.A4.A$50.A4.A$50.A4.A
$50.A4.A$50.A4.2A$50.A4.AB$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$
50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A
4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$49.BA4.A$49.2A4.A$50.A4.A
$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.A4.A$50.
6A!

Note that the second electron of the turn-off mechanism is also useful for fixing a disjoined arm.

[silversmith]

Here is the diode from the AND gate:

Code: Select all

x = 21, y = 8, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
18.AB$12.9A$6.BA4.A$10A2.A$9.A2.A$9.A2.A$10.2A$7.2A4.2A!

Reflector

Code: Select all

x = 10, y = 6, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
A$A5.AB$A.8A$A.A$2.A$2.A!

A wire crossing might be harder to find. I'll see what I can do with the current logic.

Edit: Finding "fast" gates which work with electrons 6 gens apart would be nice. So far only the splitter and ANDNOT gate work that fast. The AND gate has a repeat time of 12 while the signal joiner isn't really an OR gate.

Here is an almost working fast XOR:

Code: Select all

x = 62, y = 24, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
48.14A$48.A$48.A.A4.A$25.4A19.A.A4.A$25.A2.A19.A3.2A$25.A2.A4.12A3.A
2.A2.A$25.A2.A4.A10.A3.A2.A2.A$5A20.A2.A4.A10.A3.4A2.A$A3.A20.A2.A4.A
10.A9.A$A3.A20.A2.A4.5A2.5A9.A$5A20.A2.A8.A2.A13.A$A3.A10.BA4.BA2.A2.A
8.A2.A13.A$A3.A3.18A2.6A3.A2.A13.A$A3.A28.A3.4A13.A$33.A20.A$34.2A18.
A$4A27.2A21.A$A2.A50.A$A2.A50.A$6A3.BA10.BA31.A$A4.A2.47A$A4.A$A4.A$
6A!

A lone electron from "A" will delay any "B" electron which comes after it.

[Yoel]

A wire crossing might be harder to find. I'll see what I can do with the current logic.

This is a very slow design that requires over 85 gens per cycle and signals streamed at the right phase and at the same frequency as the clocks, but it does show that wire crossing is possible:

Code: Select all

x = 346, y = 348, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
8$175.5A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A
3.A$174.BA3.A$174.2A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$
175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A
3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$
175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A3.A$175.A
3.A$175.A3.A$175.5A3$177.7A$177.A$177.A$177.A$177.A$177.A$177.A$177.A
$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$176.BA$176.2A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A5.A$177.A5.A$177.5A$182.A$182.A$179.3A$179.A3.
A2.57A$179.A3.A2.A32.BA21.A$179.A6.A55.A$179.A6.A55.A$179.A2.5A55.A$
179.A2.A15.40A4.A$13.40AB125.A2.A15.A38.A4.A$13.A38.A2.BA88.BA32.A2.A
4.9A2.A38.A4.A$13.A38.A.2B109A14.4A4.A7.A2.A38.A4.97A$13.A38.A2.A108.
A7.A14.A7.A2.40A64.BA$13.39A.B.A108.A2.5A.B11.2A8.A16.BA121.2A$52.A2.
A108.A2.A4.A3.4A8.2A5.A$55.A108.A2.A4.A3.A2.A15.A$55.A109.2A5.A3.A2.A
15.A$55.A106.2A4.2A2.A3.A2.A$172.5A2.A$179.A$179.A5.A$174.6A5.A$174.A
7.3A$174.A7.A3.A$174.A7.A3.A$174.AB6.A$174.2A6.A$174.A7.A$174.A7.A$
174.A7.A$174.A7.7A$174.A$174.A$174.A5.5A$174.A5.A3.A$174.A5.A3.A$174.
A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$
174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A
3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A
5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$
174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A
3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A5.A3.A$174.A4.2A3.A$174.
A4.BA3.A$174.A5.A3.A$174.A6.4A$174.A$174.A$174.A$174.A$174.4A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.AB$177.2A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$
177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A$177.A.A$177.A.A$177.A
$177.A!

[silversmith]

Here is an almost fast OR gate with a repeat time of 7.

Code: Select all

x = 98, y = 23, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
34.22A$34.A20.A$34.A20.A$34.A20.A$34.A20.A$34.A20.A$34.A20.A$34.12A9.
A$45.A2.6A.A$3.BA12.BA5.BA5.BA12.A2.A4.A.A$35A10.A2.A4.A.A$34.A10.A2.
A4.A.A7.35A$30.A3.A10.A2.A4.A.5A3.A$30.A3.A10.A2.A4.A5.A3.A$32.3A10.A
2.A4.A5.A3.A$31.A5.4A4.4A4.A5.A3.5A$31.A5.A2.A12.7A7.A$37.A2.A26.A3.
2A$37.A2.A26.3A$3.BA5.BA12.BA5.BA4.A2.A29.A$.37A2.A29.A$40.30A$71.2A!

A rule 110 computer is within reach.

Edit:Here is a crossover with a repeat time of 16 using the spark generator.

Code: Select all

x = 50, y = 27, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
17.A6.12A$17.A6.A10.A$18.3A3.A5.2A3.A$15.2A3.A3.A.3A6.A$20.A3.A.A2.A
5.A$21A3.A.A2.A5.A$.BA21.A.A2.4A2.A$24.A.A5.A2.A$20.5A.A5.A2.A3.11A$
20.A5.A5.A2.A3.A$20.A5.A5.A2.A3.A$20.7A5.4A3.A$39.A$39.A$39.A$20.7A5.4A
3.A$20.A5.A5.A2.A3.A$20.A5.A5.A2.A3.A$20.5A.A5.A2.A3.11A$24.A.A5.A2.A
$17.BA5.A.A2.4A2.A$21A3.A.A2.A5.A$20.A3.A.A2.A5.A$15.2A3.A3.A.3A6.A$
18.3A3.A5.2A3.A$17.A6.A10.A$17.A6.12A!

The diode can be made smaller:

Code: Select all

x = 16, y = 18, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
13.AB$7.9A$.BA4.A$5A2.A$4.A2.A$4.A2.A$5.3A$2.2A3$13.AB$7.9A$.BA4.A$5A
2.A$4.A2.A$4.A2.A$4.3A$8.2A!

Edit: This rule 110 emulator proves Turing Completeness.

Code: Select all

x = 181, y = 54, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
71.14A$71.A12.A$71.A12.A$71.5A8.A$75.A8.A$62.4A9.A8.A$62.A2.A9.A3.2A
3.A$62.A2.A9.3A4.3A$62.A2.A12.A2.A5.4A$62.A2.A12.A2.A5.A2.A$63A2.11A
11.A2.A4.22A$A74.A11.A2.A4.A20.A$A74.A11.A2.A4.A20.A$9A58.5A3.A11.A2.A
4.A20.A$8.A58.A3.A3.A11.A2.A4.A20.A$8.A42.10A6.A3.A3.13A2.A4.A20.A$8.A
42.A8.A6.A3.A18.A4.A20.A23.22A$8.A3.2A8.4A25.A3.2A3.A6.A3.A18.A4.12A
9.A23.A20.A$8.3A11.A2.A25.3A4.3A6.A3.A18.A15.A2.6A.A23.A20.A$11.A10.A
2.A28.A2.A5.5A3.15A4.A15.A2.A4.A.A23.A20.A$11.A10.A2.A28.A2.A5.A21.A4.
6A10.A2.A4.A.A23.A20.A$5.4A13.A2.27A11.A21.A9.A10.A2.A4.A.A7.12A4.A
20.A$5.A2.A13.A2.A25.A11.A21.A9.A10.A2.A4.A.5A3.A10.A4.A20.A$5.A2.A13.A
3.2A23.A11.A21.A4.2A3.A10.A2.A4.A5.A3.A10.A4.12A9.A$5.A2.A13.3A26.A
11.A3.10A8.A7.3A10.A2.A4.A5.A3.A10.A15.A2.6A.A$5.A2.A16.A18.4A3.A11.A3.
A8.A8.A6.A5.4A4.4A4.A5.A3.5A6.A15.A2.A4.A.A$5.A2.A16.A18.A2.A3.A11.A
3.A8.A8.A6.A5.A2.A12.7A7.A6.6A10.A2.A4.A.A$5.A2.5A4.6A13.4A4.A2.A3.A
11.A3.A8.A8.A12.A2.A26.A3.2A6.A10.A2.A4.A.A7.12A$5.A6.A4.A4.A13.A2.A4.A
2.A3.A11.A3.A8.A8.A12.A2.A26.3A9.A10.A2.A4.A.5A3.A10.A$5.A6.A4.A4.A
13.A2.A4.A2.A3.13A3.A3.2A3.A8.A12.A2.A29.A3.2A3.A10.A2.A4.A5.A3.A10.A$
5.A6.A4.A4.A13.A2.A4.A2.A19.3A4.3A8.14A2.A29.A6.3A10.A2.A4.A5.A3.A10.A
$5.A6.A4.A4.A13.A2.A4.A2.A22.A2.A5.4A18.30A6.A5.4A4.4A4.A5.A3.5A6.A$
5.A6.6A4.A13.A2.A4.A2.A22.A2.A5.A2.A49.2A3.A5.A2.A12.7A7.A6.A$5.A16.5A
4.6A2.A4.A2.A8.4A4.4A11.A2.A60.A2.A26.A3.2A.A$5.A20.A4.A7.A4.A2.A8.A
2.A4.A2.A11.A2.A60.A2.A26.3A4.A$5.A20.A4.A7.A4.A2.A8.A2.A4.A2.A11.A2.A
60.A2.A29.A3.A$5.A20.A4.A7.A4.A2.A8.A2.A4.A2.A11.A2.62A2.A29.A3.A$5.A
2.A17.A4.A7.A4.A2.10A2.6A2.13A66.30A4.A$5.A2.A17.6A7.6A132.2A.A$5.A
174.A$5.176A$8.AB3$8.A$8.A$6.A.A.A$6.A.A.A$4.A.A.A.A.A$4.A3.A3.A$4.A3.A
3.A$8.A$8.A$8.A!

[Yoel]

A rule 110 computer is within reach.

Reaching the smallest possible operational speed for the gates is an important goal, but it would not really matter for a Rule 110 simulator. If would look even nicer, if one sees just 3 electrons shot and processed once in 500 gens or whatever it may take for the full update cycle, instead of a constant p6 or p16 electron streams.

Edit: This rule 110 emulator proves Turing Completeness.

A relatively easy, but not a nice-looking proof though. The pattern in Rule 110 keeps constantly and asymmetrically growing in both directions. Its Turing-completeness is proven by interpreting some repetitive structures inside its seemingly chaotic growth (gliders and oscillators of sorts) as results of the computation. Unfortunately, it's completely useless as a spectacular showcase device like the famous Wireworld programmable calculator or even the cyclic tag system, which has been emulated in W110 to prove its Turing-completeness.

https://esolangs.org/wiki/Bitwise_Cyclic_Tag

[silversmith]

I agree that is is not nice looking, but the memory "tape" can theoretically be as big as desired, limited only by computation speed/time. As such, it is capable of emulating the cyclic tag system like any other rule 110 implemention, unless I am misunderstanding something.

[Yoel]

Edit: This rule 110 emulator proves Turing Completeness.

Not yet. You need to build an indefinitely expandable series of memory cells updated synchronically by these triple AND-OR-XOR gates.

I agree that is is not nice looking, but the memory "tape" can theoretically be as big as desired, limited only by computation speed/time. As such, it is capable of emulating the cyclic tag system like any other rule 110 implemention, unless I am misunderstanding something.

110 patterns keep constantly expanding in both directions (watch the rule W110 for yourself in Golly). It's not trivial at all to notice something that may emulate a tag system among those moving patterns. You can calculate, say, the list of prime numbers in Rule 110, but such pattern will evolve, most likely, crazy slow, grow crazy long in the process, and you'll need a whole paper to explain, how the prime numbers are actually encoded in this seemingly random chaos.

The cyclic tag system keeps also moving to the right, but you see humanly-readable patterns, which can even be used for multiplexers like in Wireworld. You can also shift the cyclic tag system to the left each time it's cut by a 0 and make it look stable (look at the Collatz sequence implementation on Esolangs).

If someone managed to emulate this tag system in Rule 110, it should be possible to emulate the cyclic tag system directly in any 2D rule that is capable of emulating Rule 110. Or implement one of the small universal Turing machines, or even a OISC with only relative addresses, which is Turing-complete in the true sense (there is no memory limit). This is definitely possible in Wireworld-like rules.

For a formal proof of Turing-completeness, of course, Rule 110 is good enough.

[silversmith]

You need to build an indefinitely expandable series of memory cells updated synchronically by these triple AND-OR-XOR gates.

This design can fit 23 signals worth of space across the bottom:

Code: Select all

x = 181, y = 54, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
71.14A$71.A12.A$71.A12.A$71.5A8.A$75.A8.A$62.4A9.A8.A$62.A2.A9.A3.2A
3.A$62.A2.A9.3A4.3A$62.A2.A12.A2.A5.4A$62.A2.A12.A2.A5.A2.A$63A2.11A
11.A2.A4.22A$A74.A11.A2.A4.A20.A$A74.A11.A2.A4.A20.A$9A58.5A3.A11.A2.A
4.A20.A$8.A58.A3.A3.A11.A2.A4.A20.A$8.A42.10A6.A3.A3.13A2.A4.A20.A$8.A
42.A8.A6.A3.A18.A4.A20.A23.22A$8.A3.2A8.4A25.A3.2A3.A6.A3.A18.A4.12A
9.A23.A20.A$8.3A11.A2.A25.3A4.3A6.A3.A18.A15.A2.6A.A23.A20.A$11.A10.A
2.A28.A2.A5.5A3.15A4.A15.A2.A4.A.A23.A20.A$11.A10.A2.A28.A2.A5.A21.A4.
6A10.A2.A4.A.A23.A20.A$5.4A13.A2.27A11.A21.A9.A10.A2.A4.A.A7.12A4.A
20.A$5.A2.A13.A2.A25.A11.A21.A9.A10.A2.A4.A.5A3.A10.A4.A20.A$5.A2.A13.A
3.2A23.A11.A21.A4.2A3.A10.A2.A4.A5.A3.A10.A4.12A9.A$5.A2.A13.3A26.A
11.A3.10A8.A7.3A10.A2.A4.A5.A3.A10.A15.A2.6A.A$5.A2.A16.A18.4A3.A11.A3.
A8.A8.A6.A5.4A4.4A4.A5.A3.5A6.A15.A2.A4.A.A$5.A2.A16.A18.A2.A3.A11.A
3.A8.A8.A6.A5.A2.A12.7A7.A6.6A10.A2.A4.A.A$5.A2.5A4.6A13.4A4.A2.A3.A
11.A3.A8.A8.A12.A2.A26.A3.2A6.A10.A2.A4.A.A7.12A$5.A6.A4.A4.A13.A2.A4.A
2.A3.A11.A3.A8.A8.A12.A2.A26.3A9.A10.A2.A4.A.5A3.A10.A$5.A6.A4.A4.A
13.A2.A4.A2.A3.13A3.A3.2A3.A8.A12.A2.A29.A3.2A3.A10.A2.A4.A5.A3.A10.A$
5.A6.A4.A4.A13.A2.A4.A2.A19.3A4.3A8.14A2.A29.A6.3A10.A2.A4.A5.A3.A10.A
$5.A6.A4.A4.A13.A2.A4.A2.A22.A2.A5.4A18.30A6.A5.4A4.4A4.A5.A3.5A6.A$
5.A6.6A4.A13.A2.A4.A2.A22.A2.A5.A2.A49.2A3.A5.A2.A12.7A7.A6.A$5.A16.5A
4.6A2.A4.A2.A8.4A4.4A11.A2.A60.A2.A26.A3.2A.A$5.A20.A4.A7.A4.A2.A8.A
2.A4.A2.A11.A2.A60.A2.A26.3A4.A$5.A20.A4.A7.A4.A2.A8.A2.A4.A2.A11.A2.A
60.A2.A29.A3.A$5.A20.A4.A7.A4.A2.A8.A2.A4.A2.A11.A2.62A2.A29.A3.A$5.A
2.A17.A4.A7.A4.A2.10A2.6A2.13A66.30A4.A$5.A2.A17.6A7.6A132.2A.A$5.A
174.A$5.176A$8.AB3$8.A$8.A$6.A.A.A$6.A.A.A$4.A.A.A.A.A$4.A3.A3.A$4.A3.A
3.A$8.A$8.A$8.A!

This design can fit 50 signals worth of space across the bottom:

Code: Select all

x = 376, y = 54, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
71.14A$71.A12.A$71.A12.A$71.5A8.A$75.A8.A$62.4A9.A8.A$62.A2.A9.A3.2A
3.A$62.A2.A9.3A4.3A$62.A2.A12.A2.A5.4A$62.A2.A12.A2.A5.A2.A$63A2.11A
11.A2.A4.22A$A74.A11.A2.A4.A20.A$A74.A11.A2.A4.A20.A$9A58.5A3.A11.A2.A
4.A20.A$8.A58.A3.A3.A11.A2.A4.A20.A$8.A42.10A6.A3.A3.13A2.A4.A20.A$8.A
42.A8.A6.A3.A18.A4.A20.A23.22A$8.A3.2A8.4A25.A3.2A3.A6.A3.A18.A4.12A
9.A23.A20.A$8.3A11.A2.A25.3A4.3A6.A3.A18.A15.A2.6A.A23.A20.A$11.A10.A
2.A28.A2.A5.5A3.15A4.A15.A2.A4.A.A23.A20.A$11.A10.A2.A28.A2.A5.A21.A4.
6A10.A2.A4.A.A23.A20.A$5.4A13.A2.27A11.A21.A9.A10.A2.A4.A.A7.12A4.A
20.A$5.A2.A13.A2.A25.A11.A21.A9.A10.A2.A4.A.5A3.A10.A4.A20.A$5.A2.A13.A
3.2A23.A11.A21.A4.2A3.A10.A2.A4.A5.A3.A10.A4.12A9.A$5.A2.A13.3A26.A
11.A3.10A8.A7.3A10.A2.A4.A5.A3.A10.A15.A2.6A.A$5.A2.A16.A18.4A3.A11.A3.
A8.A8.A6.A5.4A4.4A4.A5.A3.5A6.A15.A2.A4.A.A$5.A2.A16.A18.A2.A3.A11.A
3.A8.A8.A6.A5.A2.A12.7A7.A6.6A10.A2.A4.A.A$5.A2.5A4.6A13.4A4.A2.A3.A
11.A3.A8.A8.A12.A2.A26.A3.2A6.A10.A2.A4.A.A7.207A$5.A6.A4.A4.A13.A2.A4.
A2.A3.A11.A3.A8.A8.A12.A2.A26.3A9.A10.A2.A4.A.5A3.A205.A$5.A6.A4.A4.A
13.A2.A4.A2.A3.13A3.A3.2A3.A8.A12.A2.A29.A3.2A3.A10.A2.A4.A5.A3.A205.
A$5.A6.A4.A4.A13.A2.A4.A2.A19.3A4.3A8.14A2.A29.A6.3A10.A2.A4.A5.A3.A
205.A$5.A6.A4.A4.A13.A2.A4.A2.A22.A2.A5.4A18.30A6.A5.4A4.4A4.A5.A3.5A
201.A$5.A6.6A4.A13.A2.A4.A2.A22.A2.A5.A2.A49.2A3.A5.A2.A12.7A7.A201.A$
5.A16.5A4.6A2.A4.A2.A8.4A4.4A11.A2.A60.A2.A26.A3.2A196.A$5.A20.A4.A7.
A4.A2.A8.A2.A4.A2.A11.A2.A60.A2.A26.3A199.A$5.A20.A4.A7.A4.A2.A8.A2.A
4.A2.A11.A2.A60.A2.A29.A198.A$5.A20.A4.A7.A4.A2.A8.A2.A4.A2.A11.A2.
62A2.A29.A198.A$5.A2.A17.A4.A7.A4.A2.10A2.6A2.13A66.30A199.A$5.A2.A17.
6A7.6A132.2A196.A$5.A369.A$5.371A$8.AB3$8.A$8.A$6.A.A.A$6.A.A.A$4.A.A.
A.A.A$4.A3.A3.A$4.A3.A3.A$8.A$8.A$8.A!

The right edge of the emulator is indefinitely extenable and should satisfy your condition for "an indefinitely expandable series of memory cells updated synchronically".

Edit: Here is a c/25 wickstretcher from Moosey on catalogue, and a 2c/6 wickstretcher.

Code: Select all

x = 14, y = 24, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
9.2A$10A$2A7.A$3.2A4.A$7.7A$13.A$10.4A6$11.3A$12.2A$2.12A$12.A$13A3$
13A$12.A$2.12A$12.2A$11.3A!

[Yoel]

The right edge of the emulator is indefinitely extenable and should satisfy your condition for "an indefinitely expandable series of memory cells updated synchronically".

Not exactly. A proper Rule 110 simulation requires, in theory, an infinite tiling of memory elements interacting with each other. Your rotating design can be extended to a finite emulator of any given size with circular topology, but not into an infinite tiling. Also, proper Rule 110 tiling does not slow down, when you add more cells. because all cells are updated at the same time, synchronically, independent of the (theoretically infinite) number of the emulator's cells. Something like this.

[silversmith]

A turing complete system doesn't need to be infinte, it just needs to be as big as necessary for the computation. For example if a calculation needed to be 10,000 cells wide, this system could be easily extended to calculate it.

The system also doesn't have to update synchronically to be turing complete. It only needs to take on generation of the W110 simulation and output the next.

The design is based on this discussion, where similar designs were agreed upon to be turing complete
proofs.https://conwaylife.com/forums/viewtopic ... ing#p99134

[Yoel]

A turing complete system doesn't need to be infinte

According to the classic definition, it does need to be infinite (or thought as such in a meaningful way). In a finite system of any size the halting theorem does not work, because any finite system is decidable and thus it's not Turing-complete or a universal computer by definition.

For example, none of real-life computers are Turing-complete in the true sense, nor are all computers in the world connected together, because their total memory (internal and external) is limited. However, many computational systems and programming languages are Turing-complete, given an infinite amount of memory and time. In other words, programming language as theoretical models are often Turing-complete, while real-life hardware never is. And this holds true even for indefinitely extendable systems. Indefinitely and not the same as infinitely.

A rational number can approximate a real number as close as you wish, but the set of rational numbers remains only a subset of real numbers (and of the same countable set cardinality as natural numbers). A circle, no matter how much you scale it up, remains a circle and does not change its topology to a straight line.

Regarding the discussion, from the purely mathematical point of view these designs are not Turing-complete.

EDIT:

From the common pragmatic point of view, your design is indeed "Turing-complete" as much as your phone or computer.

[silversmith]

A turing complete system doesn't need to be infinte

According to the classic definition, it does need to be infinite (or thought as such in a meaningful way). In a finite system of any size the halting theorem does not work, because any finite system is decidable and thus it's not Turing-complete or a universal computer by definition.

This is true. It would be more accurate to say a proof of a turing complete system doesn't need to be infinite.

Regarding the discussion, from the purely mathematical point of view these designs are not Turing-complete.

EDIT:

From the common pragmatic point of view, your design is indeed "Turing-complete" as much as your phone or computer.

I agree with you. The designs themselves are not Turing Complete, and this rule is only as Turing Complete as a cellular automata run on a physical computer can be.

Anyway here is a construction arm adding electrons to the loop and retracting itself.

Code: Select all

#C [[ STOP 670 ]]
x = 538, y = 17, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
478.BA5.BA$477.14A33.14A$477.A12.A33.A12.A$477.A12.A33.A12.A$477.A12.
A2.27A4.A12.A$477.A12.A2.A25.A4.A12.A$477.14A2.A.25A4.14A$481.AB5.AB
3.A.A$493.A.A$493.A.A$493.A.A$493.A.A$493.A.A$4.490A.A$495.A$496A$2.BA
4.BA44.BA4.BA4.BA4.BA4.BA4.BA4.BA4.BA52.BA4.BA42.BA4.BA14.BA5.BA9.BA
4.BA10.BA9.BA5.BA9.BA4.BA26.BA4.BA4.BA6.BA4.BA4.BA9.BA5.BA15.BA27.BA4.
BA52.BA4.BA7.BA!

Edit: On second thought, this method probably can't be used to make the top electron generator as the electrons would block the construction of a new construction arm next to it.

Edit: We could use this method by adding the construction arm before the electrons and supressing them untill the arm is ready. Perhaps with a mechanism like this one:

Code: Select all

x = 62, y = 15, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
24.A5.BA$24.14A$24.A12.A21.3A$24.A12.A23.A$24.A12.A2.20A.A$24.A12.A2.
A20.A$24.14A2.A.20A$30.AB5.A2.A.A$40.A.A$40.A.A$40.A.A$41A.A$A41.A$
43A$3.BA4.BA4.BA9.BA4.BA!

[Moosey]

Classic apgsearch: mislabeling soups

here's a zz_REPLICATOR, don't ask me how it was so mistaken

Code: Select all

x = 16, y = 16, rule = S1e2-a3-cij4aijkrtz5cnqr/B2ce3aejnr4aj5y6a/3
oooboobobboooooo$
boooboboooboobob$
bbbbbboooobbobbb$
bbbboobbbobbobbb$
bbbobooobooooobb$
bobobbbbobbooobb$
bbbobbbbobboobbb$
ooobboboooobboob$
bbboooobbobbobbo$
ooobbobbobbboooo$
bobbooobobbboooo$
bbbbbobbooobobbb$
boobbooobobobbbo$
bbobbbooobbobbbo$
oboobboooobboooo$
obbobbboobbobboo!

p13 signal gun (different from the similar looking one because it's a different period!)

Code: Select all

x = 11, y = 8, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
8.3A$3A5.A.A$2.5A.A.A$2.A3.A.3A$2.A.A.A$2.A.A.A$2.A.A$2.3A!

c/5 wickstretcher--anyone have a backend for it?

Code: Select all

x = 11, y = 24, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A
.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.
A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A
.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.2A3.2A.A$
2A3.B3.2A!

EDIT: also any c/25 spaceship backends? Anything that retracts one cell every three signals along the 1xn line should work with a frontend like this:

Code: Select all

x = 46, y = 7, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
41.2A$42A.B$41.A$41.A$39.7A$45.A$43.3A!

[silversmith]

Here is a c/4 backend for a wider version.

Code: Select all

x = 15, y = 29, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
A5.A$A2.A2.A$A.3A.A.A5.A$A.A.A.A.A2.A2.A$A.A.A.A.A.3A.A$A.A.A.A.A.A.A
.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.
A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A
.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.
A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A
.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.A.A.A.A.A.A$A.A.2A3.2A.A.A$A.2A3.B
3.2A.A$2A11.2A!

Edit: And here is a c/6 backend.

Code: Select all

x = 19, y = 11, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
A7.A$A3.A3.A$A.5A.A$A.A.A.A.A.A7.A$A.A.A.A.A.A7.A$A.2A3.2A.A.2A.2A.A$
2A3.B3.2A.A.A.A.A$11.2A.A.A.A$13.2A.A.A$15.2A.A$17.2A!

Edit: Here is a gun for the front engine ship.

Code: Select all

x = 67, y = 23, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
35.BA5.BA$32.14A$32.A12.A$32.A12.A$32.A12.A2.19A$32.A12.A2.A17.A$32.
14A2.A.17A$34.AB5.AB5.A.A$48.A.A$48.A.A$48.A.A$36.13A.A$50.A$4.47A$4.A
4.BA7.BA4.BA4.BA6.BA7.BA$A3.A$A3.A45.6A$2.2A.A44.A3.2A$.A2.B45.A.A$.A
6.AB4.AB4.AB4.AB4.AB7.AB7.A.A$.50A.A$52.A$52.A!

Edit: Can someone find a instruction tape that produces a c/3 wickstretcher not directly connected to the construction arm. The minimum spacing is shown with state 2(dying).

Code: Select all

x = 50, y = 15, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
15.BA5.BA$15.14A$15.A12.A$15.A12.A$15.A12.A2.19A$15.A12.A2.A17.A$15.
14A2.A.17A$20.AB5.AB2.A.A$31.A.A$31.A.A$31.A.A$19.13A.A$33.A$34A$2.B5.
B5.B5.B5.B!

Edit:This is my progress up to the point where I realized that a 6 by 14 rectangle is too narrow to work. Now I have to redo the rectangle synthesis. The final design also needs the c/3 wickstretcher to be made first so the wickstretcher can make the new instruction tape.

Code: Select all

x = 90, y = 100, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
77.13A$77.A11.A$77.11A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$
87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$
87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$61.BA5.BA17.A.A$61.14A12.A.A
$61.A12.A12.A.A$61.A12.A12.A.A$61.A12.A2.11A.A$61.A12.A2.A11.A$61.14A
2.A.11A$66.AB5.AB2.A.A$77.A.A$77.A.A$77.A.A$65.13A.A$79.A$80A$A.BA9.B
A9.BA5.BA14.BA10.BA5.BA$A$A$A2.AB4.AB5.AB5.AB4.AB4.AB5.AB10.AB5.AB$
67A$66.A$66.A$67A$A5.BA9.BA9.BA5.BA27.BA$2A$AB$A5.AB38.AB5.AB5.AB$67A$
66.A$66.A$67A$ABA5.BA5.BA5.BA$A$A$A13.AB4.AB4.AB5.AB5.AB5.AB7.AB5.AB$
67A$66.A$66.2A$67AB$A9.BA5.BA41.BA$A$A$A50.AB6.AB4.AB$67A$66.A$66.A$
67A$A4.BA5.BA5.BA4.BA4.BA31.BA$A$A$A5.AB20.AB4.AB4.AB4.AB4.AB$67A$66.A$
66.A$67A$A14.BA29.BA$A$A$A26.AB4.AB4.AB4.AB4.AB4.AB4.AB$66A$66.A$66.
2A$67AB$A2.BA4.BA9.BA5.BA8.BA4.BA4.BA4.BA4.BA$A$A$2AB6.AB4.AB4.AB6.AB
4.AB4.AB6.AB4.AB4.AB$67A$66.A$66.2A$67AB$A11.BA9.BA5.BA9.BA4.BA6.BA4.B
A$A$A$A14.AB5.AB$26A!

Edit-Sep 7:
Here is a new rectangle synthesis, 8x12.

Code: Select all

x = 90, y = 100, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
77.13A$77.A11.A$77.11A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$
87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$87.A.A$
87.A.A$87.A.A$87.A.A$87.A.A$63.BA5.BA15.A.A$63.12A12.A.A$63.A10.A12.A.
A$63.A10.A12.A.A$63.A10.A12.A.A$63.A10.A12.A.A$63.A10.A2.11A.A$63.A
10.A2.A11.A$63.12A2.A.11A$66.AB5.AB2.A.A$77.A.A$77.A.A$77.A.A$65.13A.A$
79.A$80A$ABA10.BA9.BA5.BA15.BA9.BA5.BA$A$A$A2.AB4.AB6.AB15.AB5.AB9.AB
10.AB$67A$66.A$66.A$66A.A$A24.BA10.BA9.BA5.BA9.B$A$A$A25.AB5.AB5.AB$
67A$66.A$66.A$67A$A17.BA4.BA11.BA5.BA5.BA5.BA$A$2A$AB5.AB5.AB5.AB27.AB
4.AB$67A$66.A$66.A$67A$A2.BA10.BA5.BA7.BA5.BA$A$A$A.AB35.AB5.AB4.AB5.
AB4.AB$67A$66.A$66.A$67A$A29.BA32.BA$A$A$A$67A$66.A$66.A$67A$A$A$A$A$
67A$66.A$66.A$67A$A$A$A$A$67A$66.A$66.A$67A$A$A$A$A$26A!

Edit-Sep 9:Here is an example of the c/3 push synth which i am looking for, except having one wickstretcher would be a lot easier to use.

Code: Select all

x = 50, y = 15, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
15.BA5.BA$15.14A$15.A12.A$15.A12.A$15.A12.A2.19A$15.A12.A2.A17.A$15.14A
2.A.17A$20.AB5.AB2.A.A$31.A.A$31.A.A$31.A.A$19.13A.A$33.A$34A$.BA11.B
A10.BA!

Edit-Sep 15:Here is a fast pull.

Code: Select all

x = 188, y = 16, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
109.BA5.BA$109.14A$109.A12.A$109.A12.A$109.A12.A2.63A$109.A12.A2.A61.
A$109.14A2.A.61A$114.AB5.AB2.A.A$125.A.A$125.A.A$125.A.A$113.13A.A$127.
A$128A$4.A107.BA4.BA$2.A!

Edit-Sep 16:Here is a gun-worthy reaction which can produce front-engine ships of any length 9 or greater.
Length 9:

Code: Select all

x = 80, y = 15, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
21.BA5.BA$21.14A$21.A12.A$21.A12.A$21.A12.A2.43A$21.A12.A2.A41.A$21.14A
2.A.41A$26.AB5.AB2.A.A$37.A.A$37.A.A$37.A.A$25.13A.A$39.A$40A$5.BA15.
BA6.BA!

Length 45:

Code: Select all

x = 130, y = 15, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
71.BA5.BA$71.14A$71.A12.A$71.A12.A$71.A12.A2.43A$71.A12.A2.A41.A$71.14A
2.A.41A$76.AB5.AB2.A.A$87.A.A$87.A.A$87.A.A$75.13A.A$89.A$90A$.BA69.B
A6.BA!

Edit-Sep 16:Here is a reaction which produces a c/3 wick stretcher. It is connected to the original arm so it can’t make a new line, but it can connect to an existing one.

Code: Select all

x = 118, y = 34, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
110.8A$117.A$110.6A.A$115.A.A$115.3A13$84.BA5.BA$84.12A$84.A10.A$84.A
10.A$84.A10.A$84.A10.A$84.A10.A2.19A$84.A10.A2.A17.A$84.12A2.A.17A$87.
AB5.AB2.A.A$98.A.A$98.A.A$98.A.A$86.13A.A$100.A$101A$.BA5.BA11.BA10.B
A14.BA4.BA6.BA4.BA4.BA9.BA5.BA!

Edit-Sep 22:

c/5 wickstretcher--anyone have a backend for it?

Code: Select all

x = 11, y = 24, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A
.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.
A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A
.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.A.A.A.A.A$A.2A3.2A.A$
2A3.B3.2A!

Used this, the c/5 backend, and a new wire signal to make a c/5 ship!

Code: Select all

x = 13, y = 19, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
2.BA2.BA$.10A$2A8.A$.5A2.3A$4.2A3.AB2A$4.2A6.A$3.B.7AB$.B9.2A$B11A$A
10.A$B11A$.B9.2A$3.B.7AB$4.2A6.A$4.2A3.AB2A$.5A2.3A$2A8.A$.10A$2.BA2.B
A!

Edit-Sep 22:
These are the c/7 and c/5 signals.

Code: Select all

x = 29, y = 17, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
22.2A$24.A$20.4A3.2A$27.2A$17.12A$14.3A$16.A$9.8A$9A$2A6.A$3.A2.3A$3.
A5.5A$13.A$11.3A$14.4A$16.2A$9.9A!

Edit-Sep 23:
Here is a tagalong for the c/5 ship.

Code: Select all

x = 26, y = 24, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
8.BA2.BA$7.10A$6.2A8.A$7.5A2.3A$10.2A3.AB2A$10.2A6.A$9.B.7AB$7.B9.2A$
6.B11A$6.A10.A$6.B11A$7.B9.2A$9.B.7AB$10.2A6.A$10.2A3.AB2A$7.5A2.3A$
6.2A8.A$7.10A$8.BA2.BA$2.BA$.25A$2A23.A$.24A$2.BA2.BA2.BA2.BA2.BA2.BA!

Edit-Sep 25:
Here is a smaller c/5 ship.

Code: Select all

 x = 20, y = 19, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
3$6.BA2.BA2.BA$3.AB10AB$3.2B10.A$3.AB4A3.AB2A$7.2B2.3A$7.2A4.A$7.AB5A
2$4.12A$3.2A10.A$4.12A$5.BA2.BA2.BA!

Edit-Sep 27:
A shorter c/3 wickstretcher synth.

Code: Select all

x = 87, y = 18, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
50.BA5.BA$50.12A$50.A10.A$50.A10.A$50.A10.A$50.A10.A$50.A10.A2.13A5.
5A$50.A10.A2.A11.A5.A3.A$50.12A2.A.11A5.3A.A$53.AB5.AB2.A.A17.A.A$64.A
.A17.A.A$64.A.A17.A.A$64.A.A17.A.A$53.12A.A17.A.A$66.A17.A.A$67A14.4A
.A$.BA9.BA4.BA23.BA5.BA6.BA21.A4.A$81.6A!

Edit-Sep 28:
Found a disconnected c/3 wickstretcher synthesis

Code: Select all

x = 207, y = 15, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
160.BA5.BA$160.14A$160.A12.A$160.A12.A$160.A12.A2.31A$160.A12.A2.A29.
A$160.14A2.A.29A$165.AB5.AB2.A.A$176.A.A$176.A.A$176.A.A$164.13A.A$
178.A$179A$2.BA5.BA6.BA9.BA5.BA5.BA7.BA13.BA29.BA7.BA13.BA5.BA4.BA4.BA
10.BA4.BA11.BA!

Edit-Sep 28:
Cleaned the c/3 wickstretcher synthesis

Code: Select all

#C [[ STOP 424 ]]
x = 446, y = 15, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
399.BA5.BA$399.14A$399.A12.A$399.A12.A$399.A12.A2.31A$399.A12.A2.A29.
A$399.14A2.A.29A$404.AB5.AB2.A.A$415.A.A$415.A.A$415.A.A$403.13A.A$
417.A$418A$6.BA20.BA6.BA4.BA5.BA23.BA5.BA6.BA4.BA5.BA17.BA5.BA38.BA5.BA
23.BA4.BA4.BA9.BA5.BA27.BA4.BA4.BA5.BA5.BA7.BA9.BA29.BA7.BA13.BA5.BA
4.BA4.BA10.BA4.BA11.BA!

Edit-Sep 28:
Sqrt growth

Code: Select all

x = 24, y = 30, rule = 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3
12.BA5.BA$.21A$.A19.A$.A.2A10.7A$.A4.7A2.A3.BA$.A3.A6.A2.A$.A3.A6.A2.
A$.A3.4A3.A2.A$.A6.A3.A2.A$.A6.A3.A2.A3.5A$.A2.5A3.A2.A3.A3.A$.A2.A7.
A2.A3.A3.A$.A2.A7.A2.A3.3A.A$.A2.A7.4A3.A3.A$.4A14.A2.2A$19.A2.2A$9.
4A6.A$9.A2.A6.A$7A2.A2.A6.A$A2.A2.A2.A2.A6.A$A2.A2.A2.A2.A6.A$A2.A3.3A
2.A6.A$3A.2A6.A6.A$3.A8.A6.A$3.A8.A6.A3.A$12.A6.A3.A$12.A6.3A$12.A9.A
$12.A9.A$12.11A!

Edit-Sep 29:
Here is an odd turning reaction and a binary counter.

Code: Select all

x = 106, y = 26, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
5.8A86.A$5.A6.A86.A$5.A6.A12.2A3.2A13.A7.2A13.A7.2A13.A7.A2.4A$5.8A9.
2A21.A22.A22.A7.A2.A2.A$9.A12.8A.7A7.8A.7A7.8A.7A7.9A2.A2.A$4A5.A4.4A
11.A.A5.A2.4A8.A.A5.A2.4A8.A.A5.A2.4A12.A2.A$A2.A5.A4.A2.A11.A.A5.A2.
A2.A8.A.A5.A2.A2.A8.A.A5.A2.A2.A12.A2.A$A2.A5.A4.A2.A11.A.A5.A2.A2.A
8.A.A5.A2.A2.A8.A.A5.A2.A2.A12.A2.A$A2.6A5.A2.A11.A.A5.A2.A2.A8.A.A5.A
2.A2.A8.A.A5.A2.A2.A12.A2.A$A2.A.BA.A.5A2.A11.A.A5.7A8.A.A5.7A8.A.A5.
7A12.A2.A$A2.A4.A5.A2.A11.A.A20.A.A20.A.A24.A2.A$A2.A4.A5.A2.A11.A.A
14.A5.A.A14.A5.A.A14.A9.A2.A$4A4.A5.4A11.A.4A11.A5.A.4A11.A5.A.4A11.A
9.A2.A$8.A20.A4.A4.7A.2A3.A4.A4.7A.2A3.A4.A4.7A.2A6.2A2.A$5.8A16.A4.A
4.A3.A2.A5.A4.A4.A3.A2.A5.A4.A4.A3.A2.A8.BA2.A$5.A6.A16.6A4.A3.A2.A5.
6A4.A3.A2.A5.6A4.A3.A2.A3.7A2.A$5.A6.A26.A3.A2.A15.A3.A2.A15.A3.A2.A3.
A8.A$5.8A23.4A3.A2.A12.4A3.A2.A12.4A3.A2.A3.A8.A$27.6A3.A4.3A2.A3.6A
3.A4.3A2.A3.6A3.A4.3A2.A3.7A2.A$32.A3.A3.A5.A8.A3.A3.A5.A8.A3.A3.A5.A
9.A2.A$32.A3.A3.A5.A8.A3.A3.A5.A8.A3.A3.A5.A9.A2.A$32.A3.5A5.A8.A3.5A
5.A8.A3.5A5.A9.A2.A$32.A13.A8.A13.A8.A13.A3.7A2.A$32.A13.A8.A13.A8.A
13.A3.A8.A$32.A13.A8.A13.A8.A13.A3.A8.A$32.15A8.15A8.15A3.10A!

Edit-Sep 30:
Here is a reaction which can detach a wire segment.

Code: Select all

x = 110, y = 18, rule = B2ce3aejnr4aj5y6a/S1e2-a3-cij4kaijrtz5cnrq/3
100.10A$75.BA5.BA16.A8.A$75.12A13.8A.A$75.A10.A20.A.A$75.A10.A20.A.A$
75.A10.A20.A.A$75.A10.A20.A.A$75.A10.A2.19A.A$75.A10.A2.A19.A$75.12A
2.A.19A$78.AB5.AB2.A.A$89.A.A$89.A.A$89.A.A$77.13A.A$91.A$92A$.BA11.BA
5.BA12.BA4.BA34.BA!

Edit-Oct 9:
14c/350 spaceship

Code: Select all

x = 26, y = 13, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
3$4.16A$4.A12.A.B$4.A12.A2.A$4.16A2.B$22.AB$.21ABA!

Edit-Oct 12:
Here is a c/5 ship with a smaller population.

Code: Select all

x = 13, y = 12, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
2.BA2.BA$.10A$2A8.A$.5A2.3A$4.2A3.AB2A$4.2A6.A$3.B.7AB$.B9.2A$B10AB$A
9.2A$B9AB$.BA2.BA2.BA!

Edit- Oct 19:
c/7 reactions

Code: Select all

x = 86, y = 48, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
36.50A$33.3A49.A$35.A47.3A$31.5A6$36.50A$33.3A49.A$35.A28.3A15.4A$29.
7A30.A$29.A6.31A$29.A$30A8$36.50A$33.3A49.A$35.A47.3A$31.5A$35.A43.3A
$33.3A45.A$35.47A10$36.50A$33.3A49.A$35.A47.3A$31.5A$31.A3.A$31.5A$35.
A47.3A$33.3A49.A$36.50A!

[Sarah]

A wick stretching electron generator?

Code: Select all

x = 96, y = 8, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
90.A$2.AB6.AB9.AB5.AB6.AB9.AB5.AB6.AB9.AB5.AB6.AB.BA$90A.AB$2A88.A$3.
2A85.A2.ABA$88.7AB$95.A$90.6A!

[silversmith]

A wick stretching electron generator?

Code: Select all

x = 96, y = 8, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
90.A$2.AB6.AB9.AB5.AB6.AB9.AB5.AB6.AB9.AB5.AB6.AB.BA$90A.AB$2A88.A$3.
2A85.A2.ABA$88.7AB$95.A$90.6A!

Yes, and it also forms the basis for a ship whose speed is c/25.

14c/350 spaceship

Code: Select all

x = 26, y = 13, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
3$4.16A$4.A12.A.B$4.A12.A2.A$4.16A2.B$22.AB$.21ABA!

Edit: Here is a decimal counter synthesis

Code: Select all

x = 68, y = 339, rule = 1e2-a3-cij4aijkrtz5cnqr/2ce3aejnr4aj5y6a/3
30.4A11.3A$30.A14.A$30.A.4A9.A.16A$30.A4.A9.A16.A$30.6A9.16A.A$60.A.A
$60.A.A$30.A29.A.A$30.A29.A.A$.5A37.A16.A.A$.A2.A38.A16.A.A$.A2.A2.
10A4.10A6.10A13.A.A$.A2.A2.A8.A4.A8.A6.A8.A13.A.A$.A2.A2.A.6A.A4.A.8A6.
10A13.A.A$5A2.A.A4.A.A4.A.A36.A.A$7.A.A4.A.A4.A.A36.A.A$7.3A11.A.A36.
A.A$21.A.A36.A.A$21.A.A36.A.A$21.A.A36.A.A$21.A.A36.A.A$21.A.A36.A.A$
21.A.A36.A.A$14.8A.A36.A.A$14.A8.A36.A.A$14.10A36.A.A$60.A.A$60.A.A$
60.A.A$60.A.5A$60.A5.A$60.5A.A$64.A.A$64.A.A$64.A.A$64.A.A$50.15A.A$
50.A15.A$50.A.15A$50.A.A2.BA$4.BA6.BA4.BA12.BA4.BA4.BA4.A.A$.50A.A$2A
50.A$BA50.2A$.50A.AB$19.AB10.AB10.AB5.A.A$50.A.A$50.A.10ABA$25.BA5.BA
16.A11.AB$.50A11.A$.A52.9A$.A$.B49A6.AB5.AB$.AB5.AB40.A5.11A$50.A5.A10.
A$50.A5.A10.A$50.A5.A10.A$.50A5.A10.A$.A54.A10.A$.A54.A10.A$.50A6.11A
$50.A7.BA5.BA$50.A$50.A$29.BA5.BA12.A$.50A$.A$.A$.50A$6.AB4.AB30.AB4.
A$50.A$50.A$5.BA7.BA34.A$.50A$.A$.A$.50A$13.AB16.AB17.A$50.A$50.A$6.B
A5.BA35.A$.50A$.A$.A$.50A$50.A$50.A$50.A$50.A$.50A$.A$.A$.50A$50.A$
50.A$50.A$50.A$.50A$.A$.A$.50A$48.ABA$50.A$50.A$45.BA3.A$.50A$.A$.A$.
50A$50.A$50.A$50.A$36.BA5.BA5.A$.50A$.A$.A$.50A$50.A$50.A$50.A$50.A$.
50A$.A$.A$.50A$27.AB13.AB4.ABA$50.A$50.A$22.BA5.BA6.BA7.BA2.A$.50A$.A$.
A$.50A$50.A$50.A$50.A$7.BA25.BA4.BA8.A$.50A$.A$.A$.50A$27.AB4.AB6.AB
5.ABA$50.A$50.A$37.BA5.BA4.A$.50A$.A$.A$.50A$50.A$50.A$50.A$9.BA25.BA
5.BA5.A$.50A$.A$.A$.50A$45.AB3.A$50.A$49.2A$17.BA6.BA11.BA9.BA$.50A$2A
$BA$.B49A$4.AB31.AB11.A$50.A$50.A$17.BA5.BA24.A$.50A$.A$.A$.50A$23.AB
9.AB9.AB3.A$50.A$50.A$6.BA16.BA4.BA18.A$.50A$.A$.A$.50A$3.AB6.AB4.AB
4.AB5.AB18.A$50.A$50.A$3.BA35.BA5.BA.A$.50A$.A$.A$.50A$11.AB4.AB4.AB4.
AB4.AB4.AB7.A$50.A$49.2A$42.BA5.BA$.50A$.A$.A$.50A$10.AB31.AB4.2A$49.
BA$50.A$10.BA9.BA27.A$.50A$.A$.A$.50A$50.A$50.A$50.A$23.BA5.BA18.A$.
50A$.A$.A$.50A$30.AB18.A$50.A$50.A$.BA47.A$.50A$.A$.A$.50A$7.AB11.AB
15.AB4.AB5.A$50.A$50.A$8.BA6.BA23.BA7.A$.50A$.A$.A$.50A$12.AB9.AB9.AB
14.A$50.A$50.A$3.BA22.BA21.A$.50A$.A$.A$.50A$50.A$50.A$50.A$50.A$.50A$.
A$.A$.50A$50.A$50.A$50.A$50.A$50.A$.50A$.A$.A$.50A$50.A$50.A$50.A$50.
A$.50A$.A$.A$.50A$50.A$50.A$50.A$4.BA5.BA4.BA31.A$.50A$.A$.A$.50A$26.
AB4.AB5.AB9.A$50.A$50.A$36.BA5.BA5.A$.50A$.A$.A$.50A$50.A$50.A$50.A$
50.A$.50A$.A$.A$.50A$50.A$50.A$50.A$9.BA5.BA32.A$.50A$.A$.A$.50A$50.A$
50.A$50.A$50.A$.50A$.A$.A$.50A$41.AB4.AB.A$50.A$50.A$23.BA5.BA6.BA7.B
A.A$.50A$.A$.A$.50A$50.A$50.A$50.A$24.BA4.BA4.BA4.BA6.A$.50A$.A$.A$.
50A$7.AB5.AB26.AB4.ABA$50.A$50.A$45.BA3.A$.50A$.A$.A$.50A$50.A$50.A$
50.A$31.BA17.A$.50A$.A$.A$.50A$50.A$50.A$50.A$50.A$50.A!