Star Wars Rule
Re: Star Wars Rule

 Posts: 126
 Joined: April 5th, 2009, 7:30 am
Re: Star Wars Rule
Using components from most of the posts since the project begun, I have created a controllable on/off screen. It uses a p25 gun that I engineered, (which took a half an hour... ) the toggle gun, and an array of fanouts to create the screen. Period 25 is the minimum period for the fanout.
Code: Select all
x = 760, y = 2044, rule = 345/2/4
49.2C$49.2B$49.2A98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.
2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B
98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$
49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.
2B37$76.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A
27.A27.A27.A27.A27.A27.A27.A27.A27.A$75.3A25.3A25.3A25.3A25.3A25.3A
25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.
3A25.3A25.3A25.3A25.3A25.3A$76.A27.A27.A27.A27.A27.A27.A27.A27.A27.A
27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A59$49.2C$
49.2B$49.2B98$49.2C$49.2B$49.2B98$49.2C$49.2B$49.2B38$45.2C$45.2B$45.
2A17$.A25.A$3A2.A2.A2.A2.A2.A2.A2.A2.3A$.A.23A.A$2.2A.A2.A2.A2.A2.A2.
A2.A.2A$2.A8.ABC12.A$.3A21.3A$2.A23.A$2.A23.A$.3A21.3A$2.A23.A$2.A23.
A$.3A21.3A$2.A23.A$2.A23.A$.3A21.3A$2.A7.CB14.A$2.A4.A2.A.A13.A5.A2.A
2.A2.A$.2A3.6A12.19A$2.A4.A3.2A11.B.A2.A11.A6.B$2.A4.A4.2A10.CACBA16.
C.2A$.2A3.2A5.2A30.B3AC$2.A2.C.A5.A18.A2.A2.A6.A.A.B$2.A2.B.A5.A17.9A
8.A$.2A2.10A17.A5.A$2.A4.A2.A2.A18.A5.A7.2C27.2B26.2B26.2B26.2B26.2B
26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.
2B26.2B26.2B26.2B26.2B26.2B26.2B$2.A28.2A5.2A6.2B27.2B26.2B26.2B26.2B
26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.
2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B$.3A28.2A4.A7.2A27.2C26.2C26.2C
26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.
2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C$2.A16.A2.A2.A7.2A3.A$18.9A
7.6A15.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A
2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B
2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A
10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.
A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.
C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A
2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.
A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2BA$19.A5.A9.A2.A
7.2C7.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.
9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.
C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B
.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A
8.9A.CB3A$19.A5.A20.2B12.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A
8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A
5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A
7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A
3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A
8.A5.A5.A$18.2A5.2A19.2A12.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.
2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.
A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A
7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A
4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A
7.A5.A$19.A4.2A33.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A
5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A
5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A
5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A
5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A
5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A
5.2A5.2A$19.A3.2A35.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.
2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.
A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A
7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A
4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A7.A5.A7.A4.2A
$18.6A22.2C12.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.
A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A
3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A
8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A
5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A8.A5.A7.A3.2A$13.A5.
A2.A24.AB10.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A
.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C
2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.
6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A8.9A.C2B.6A
8.9A.C2B.6A$12.3A3.A28.A.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A
10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.
A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.
C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A
2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.
A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.
A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B
2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A10.A2.A2.A2.C2B2.A2.A
$13.A2.CB28.3A$13.2A.A11.A18.A13.2C26.2C26.2C26.2C26.2C26.2C26.2C26.
2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C26.2C
26.2C26.2C26.2C26.2C$12.A.16A31.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B
26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.
2B26.2B26.2B26.2B$11.3A5.A2.A2.A2.A32.2B26.2B26.2B26.2B26.2B26.2B26.
2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B26.2B
26.2B26.2B26.2B26.2B26.2B$12.A341$62.A27.A27.A27.A27.A27.A27.A27.A27.
A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A$61.
3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A
25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A25.3A$62.A27.A27.A
27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A27.A
27.A27.A27.A27.A27.A!
If someone else has a fully implementable example of a screen, (as in one glider can turn it on or off) which I'm sure exists, post it! I'd love to see different designs, so that we have more options.
The problem remains that I need someone to help me out with logic gates for the metacell. I know there's a bunch of people here who qualify for this! Please reply!
Re: Star Wars Rule
Well, I've made a metacell before, so I suppose I qualify.The problem remains that I need someone to help me out with logic gates for the metacell.
The rule to be simulated is B3/S23, which can be expressed as "3 OR (c AND 2)". In other words, either the cell has three neighbours, or it is on and has two.
The condition for having three neighbours is equal to "b0 AND b1 AND NOT(b2)", where b0, b1, b2, b3 are the binary digits of the sum of live neighbours, with b0 being the least significant digit.
The condition for having two neighbours is equal to "NOT(b0) AND b1 AND NOT(b2)".
So, Life can be reexpressed as: "c' = (b0 AND b1 AND NOT(b2)) OR (c AND NOT(b0) AND b1 AND NOT(b2))".
This simplifies to "c' = b1 AND NOT(b2) AND (b0 OR c)", which is surprisingly simple and elegant.
As for calculating b0, b1, and b2, this requires a binary counter circuit.

 Posts: 126
 Joined: April 5th, 2009, 7:30 am
Re: Star Wars Rule
Okay, so we need to make a binary counter circuit to make this work? Does each digit have to be readable? I assume so...
I'll get to work.
Re: Star Wars Rule
Code: Select all
x = 14, y = 18, rule = 345/2/4
$5.2C$5.2B$5.2A5$5.2C$5.2B$5.2A$9.A$5.A2.3A$4.3A.2A$5.A3.A$8.3A$9.A!
There are a large number of similar reactions in which a few gliders and a small still life produce unusual results. This suggests that glider constructions can, in fact, be used for a huge range of objects in this rule, provided we can find syntheses for a few common still lives. Specifically, the important things that need to be constructable are the small reflector (the above pattern is two gliders fired at such a reflector, but too quickly for it to recover in time), the plus, and some method for constructing the "wires" (including a construction for a 90 degree turn in the wire). Actually, with these three things, it would be possible to build all of the logic gates, which would strongly suggest the existence of a universal constructor. Unfortunately, the important still lifes do not have simple constructions the way the do in life. However, there are fewer unique pieces to build than in life.
EDIT: and here is a simple pattern which results in a gun+backrake
Code: Select all
x = 17, y = 25, rule = 345/2/4
$3.2C$3.2B$3.2A9$3.2C$3.2B$3.2A$7.A$3.A2.3A$2.3A.2A$3.A3.A$6.3A$7.A!
Code: Select all
x = 105, y = 70, rule = 345/2/4
24$69.2A$68.C2.C$69.BCB$70.A$66.BA$53.2A8.ABCBC$53.2A6.ABC5.A.A$52.B
2A.BA2.BC2.BC.2A.B.B$51.AC.2ACB.A.C.AB5AC.AC4.C$50.AB.A2.C2.C2B2C3.A
3.2A.B4.B$48.AB2.2A.A.A6.CA.A.2A.B.C4.C$46.A.A.A.A.A.A.A.A3.A.A.A.A3.
A.A3.A$45.36A$19.A.CB2.BA.CA.CB2.BA.CA.CB2.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A$17.2ABA.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A$17.64A2$18.ABC$18.ABC!
Re: Star Wars Rule
Code: Select all
x = 48, y = 15, rule = 345/2/4
6.A$5.3A$6.A39.A$45.3A$46.A2$42.A$CBA38.3A$CBA39.A3$5.2A$5.2B32.2A$5.
2C32.2B$39.2C!
Re: Star Wars Rule
Code: Select all
x = 72, y = 12, rule = 345/2/4
2C$2B$2A3$CBA66.ABC$CBA66.ABC3$.2A$.2B$.2C!
Re: Star Wars Rule
Code: Select all
x = 1158, y = 298, rule = 345/2/4
129.A84.A170.A84.A170.A84.A170.A84.A$128.3A82.3A168.3A82.3A168.3A82.
3A168.3A82.3A$129.A84.A170.A84.A170.A84.A170.A84.A2$133.A76.A178.A76.
A178.A76.A178.A76.A$132.3A74.3A176.3A74.3A176.3A74.3A176.3A74.3A$133.
A76.A178.A76.A178.A76.A178.A76.A58$119.A255.A255.A255.A$63.A54.3A126.
A71.A54.3A126.A71.A54.3A126.A71.A54.3A126.A$62.3A54.A126.3A69.3A54.A
126.3A69.3A54.A126.3A69.3A54.A126.3A$63.A183.A71.A183.A71.A183.A71.A
183.A2$67.A163.A11.A79.A163.A11.A79.A163.A11.A79.A163.A11.A$66.3A161.
3A9.3A77.3A161.3A9.3A77.3A161.3A9.3A77.3A161.3A9.3A$67.A163.A11.A29.A
49.A163.A11.A29.A49.A163.A11.A29.A49.A163.A11.A29.A$272.3A253.3A253.
3A253.3A$45.A10.A216.A27.A10.A216.A27.A10.A216.A27.A10.A216.A$44.3A8.
3A242.3A8.3A242.3A8.3A242.3A8.3A$45.A10.A62.A102.A46.A31.A10.A62.A
102.A46.A31.A10.A62.A102.A46.A31.A10.A62.A102.A46.A$118.3A100.3A44.3A
103.3A100.3A44.3A103.3A100.3A44.3A103.3A100.3A44.3A$119.A102.A46.A
105.A102.A46.A105.A102.A46.A105.A102.A46.A2$115.A255.A255.A255.A$104.
A9.3A243.A9.3A243.A9.3A243.A9.3A$103.3A9.A243.3A9.A243.3A9.A243.3A9.A
$104.A255.A255.A255.A2$100.A255.A255.A255.A$89.A9.3A243.A9.3A243.A9.
3A243.A9.3A$67.A20.3A9.A222.A20.3A9.A222.A20.3A9.A222.A20.3A9.A$66.3A
20.A25.A206.3A20.A25.A206.3A20.A25.A206.3A20.A25.A$67.A46.3A206.A46.
3A206.A46.3A206.A46.3A$85.A29.A225.A29.A225.A29.A225.A29.A$84.3A253.
3A253.3A253.3A$85.A255.A255.A255.A10$65.A13.A241.A13.A241.A13.A241.A
13.A$64.3A11.3A239.3A11.3A239.3A11.3A239.3A11.3A$65.A13.A241.A13.A
241.A13.A241.A13.A2$61.A21.A233.A21.A233.A21.A233.A21.A$60.3A19.3A15.
A215.3A19.3A15.A215.3A19.3A15.A215.3A19.3A15.A$61.A21.A15.3A215.A21.A
15.3A215.A21.A15.3A215.A21.A15.3A$100.A255.A255.A255.A2$104.A255.A
255.A255.A$103.3A253.3A253.3A253.3A$104.A255.A255.A255.A4$.A1154.A$3A
1152.3A$.A1154.A2$5.A1146.A$4.3A19.CBA57.A181.A73.A181.A73.A181.A73.A
181.A114.3A$5.A20.CBA56.3A179.3A71.3A179.3A71.3A179.3A71.3A179.3A114.
A$86.A181.A73.A181.A73.A181.A73.A181.A2$90.A173.A81.A173.A81.A173.A
81.A173.A$89.3A171.3A79.3A171.3A79.3A171.3A79.3A171.3A$90.A173.A81.A
173.A81.A173.A81.A173.A7$114.A255.A255.A255.A$113.3A253.3A253.3A253.
3A$114.A255.A255.A255.A2$118.A255.A255.A255.A$117.3A29.A87.A135.3A29.
A87.A135.3A29.A87.A135.3A29.A87.A$118.A29.3A85.3A135.A29.3A85.3A135.A
29.3A85.3A135.A29.3A85.3A$134.A14.A87.A152.A14.A87.A152.A14.A87.A152.
A14.A87.A$133.3A253.3A253.3A253.3A$134.A18.A79.A156.A18.A79.A156.A18.
A79.A156.A18.A79.A$152.3A77.3A173.3A77.3A173.3A77.3A173.3A77.3A$138.A
14.A79.A160.A14.A79.A160.A14.A79.A160.A14.A79.A$137.3A253.3A253.3A
253.3A$138.A255.A255.A255.A11$138.A30.A29.A194.A30.A29.A194.A30.A29.A
194.A30.A29.A$137.3A28.3A27.3A32.A159.3A28.3A27.3A32.A159.3A28.3A27.
3A32.A159.3A28.3A27.3A32.A$138.A15.A14.A29.A32.3A159.A15.A14.A29.A32.
3A159.A15.A14.A29.A32.3A159.A15.A14.A29.A32.3A$153.3A77.A175.3A77.A
175.3A77.A175.3A77.A$134.A19.A18.A21.A194.A19.A18.A21.A194.A19.A18.A
21.A194.A19.A18.A21.A$133.3A36.3A19.3A40.A151.3A36.3A19.3A40.A151.3A
36.3A19.3A40.A151.3A36.3A19.3A40.A$134.A23.A14.A21.A40.3A151.A23.A14.
A21.A40.3A151.A23.A14.A21.A40.3A151.A23.A14.A21.A40.3A$157.3A77.A175.
3A77.A175.3A77.A175.3A77.A$158.A255.A255.A255.A7$194.A255.A255.A255.A
$193.3A253.3A253.3A253.3A$194.A255.A255.A255.A2$158.A31.A223.A31.A
223.A31.A223.A31.A$157.3A29.3A221.3A29.3A221.3A29.3A221.3A29.3A$158.A
15.A15.A223.A15.A15.A223.A15.A15.A223.A15.A15.A$173.3A253.3A253.3A
253.3A$154.A19.A235.A19.A235.A19.A235.A19.A$153.3A253.3A253.3A253.3A$
154.A23.A231.A23.A231.A23.A231.A23.A$177.3A253.3A253.3A253.3A$178.A
255.A255.A255.A11$178.A31.A223.A31.A223.A31.A223.A31.A$177.3A29.3A
221.3A29.3A221.3A29.3A221.3A29.3A$178.A31.A223.A31.A223.A31.A223.A31.
A2$174.A39.A215.A39.A215.A39.A215.A39.A$173.3A37.3A213.3A37.3A213.3A
37.3A213.3A37.3A$174.A39.A215.A39.A215.A39.A215.A39.A3$243.A255.A255.
A255.A$242.3A253.3A253.3A253.3A$118.A124.A130.A124.A130.A124.A130.A
124.A$117.3A253.3A253.3A253.3A$118.A128.A126.A128.A126.A128.A126.A
128.A$246.3A253.3A253.3A253.3A$114.A132.A122.A132.A122.A132.A122.A
132.A$113.3A253.3A253.3A253.3A$114.A255.A255.A255.A58$111.A8.A9.A236.
A8.A9.A236.A8.A9.A236.A8.A9.A$110.3A6.3A7.3A234.3A6.3A7.3A234.3A6.3A
7.3A234.3A6.3A7.3A$111.A8.A9.A236.A8.A9.A236.A8.A9.A236.A8.A9.A2$107.
A26.A228.A26.A228.A26.A228.A26.A$5.A100.3A24.3A226.3A24.3A226.3A24.3A
226.3A24.3A248.A$4.3A100.A26.A228.A26.A228.A26.A228.A26.A248.3A$5.A
1146.A2$.A1154.A$3A1152.3A$.A1154.A9$104.A30.A224.A30.A224.A30.A224.A
30.A$103.3A28.3A222.3A28.3A222.3A28.3A222.3A28.3A$104.A30.A224.A30.A
224.A30.A224.A30.A2$100.A38.A216.A38.A216.A38.A216.A38.A$99.3A36.3A
214.3A36.3A214.3A36.3A214.3A36.3A$100.A38.A216.A38.A216.A38.A216.A38.
A!

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: Star Wars Rule
Code: Select all
x = 163, y = 16, rule = 345/2/4
45.A49.A49.A$44.3A47.3A47.3A$45.A49.A49.A3$CBA29.CBA47.CB48.CBA$CBA
29.CBA47.CBA47.CBA$45.A49.A49.A$44.3A47.3A47.3A$45.A49.A49.A2$49.A49.
A49.A$48.3A47.3A47.3A$49.A49.A49.A$61.BC47.ABC47.ABC$60.ABC47.ABC47.A
BC!
I realize you probably already know about this, but I was impressed by how compact the XOR gate is.
I found ways to make a cross, but then I found that the cross could be moved 2x3 cells by hitting it with 3 simple gliders:
Code: Select all
x = 227, y = 107, rule = 345/2/4
10.2C28.2C28.2C28.2C28.2C28.2C28.2C28.2C$10.2B28.2B28.2B28.2B28.2B28.
2B28.2B28.2B$10.2A28.2A28.2A28.2A28.2A28.2A28.2A28.2A13$14.A29.A29.A
29.A29.A29.A29.A29.A$13.3A27.3A27.3A27.3A27.3A27.3A27.3A27.3A$14.A29.
A29.A29.A29.A29.A29.A29.A11$15.2A28.2A28.2A28.2A28.2A28.2A28.2A28.2A$
15.2B28.2B28.2B28.2B28.2B28.2B28.2B28.2B$15.2C28.2C28.2C28.2C28.2C28.
2C28.2C28.2C5$77.2A$43.2A32.2B24.2A$8.2A33.2B32.2C24.2B23.2A$8.2B33.
2C58.2C23.2B$8.2C118.2C28.2A$158.2B38.2A$158.2C38.2B$198.2C21.2A$221.
2B$221.2C16$190.2C28.2C$190.2B28.2B$190.2A28.2A4$9.2C28.2C28.2C$9.2B
28.2B28.2B$9.2A28.2A28.2A7$14.A29.A29.A119.A29.A$13.3A27.3A27.3A117.
3A27.3A$14.A29.A29.A119.A29.A8$9.2A28.2A28.2A$9.2B28.2B28.2B$9.2C28.
2C28.2C$195.2A28.2A$195.2B28.2B$195.2C28.2C2$2A$2B$2C24.2A30.2A$26.2B
30.2B$26.2C30.2C3$195.2A$195.2B$195.2C3$225.2A$225.2B$225.2C!
Picking one of these ways, the following pattern shows how a flip flop or memory cell can be made that has complimentary outputs:
Code: Select all
x = 97, y = 67, rule = 345/2/4
66.2C$66.2B$66.2A14$66.2C$66.2B$66.2A10$89.A2.A2.A$88.9A$89.2A.A.2A$
89.A5.A$88.3A3.3A$89.A5.A$89.A5.A$88.3A3.3A$89.A5.A$89.2A.A.2A$88.9A$
68.A20.A2.A2.A$67.3A$CBA57.CBA5.A$CBA57.CBA2$92.A$91.3A$92.A$92.A$91.
3A$92.A$92.A$91.3A$92.A$92.A$91.3A$92.A9$71.2A$71.2B$71.2C!
What I like about this arangement is that the memory cell can be used to make a glider take a different path in a passive manner, similar to a railroad switch.
Make an infinite memory bank:
Code: Select all
x = 55, y = 19, rule = 345/2/4
46.CBA$46.CBA$20.CA$19.B.B2AB25A$18.C.A.A.C.A.A.A.A.A.A.A.A.A.A.AB2A$
22.A3B2.A2.A.AC.A.C.AB2.BC.A$17.2C2.2C2.A.A.2A4.CB$6.AB11.BC2.B.C.5A
3.C$5.BC.C8.AC4.CA2B.A6.C$2.C3.AB2.ABA3.AB2A.A3.C.C.3C4.C$5.C.A.BC.CB
3.AC2AB4.BA2BABA$.A4.BAC5.C2.A2.2C10.B.3A3.2A$3A7.C2.C.C3A4.B3.ABABCA
C2B.B2.2BA.CBA$.A15.A.4AC2.C.AC.A.A.CAC.C.CA.A.A2.BC.A$AB2CBC10.AB.A.
B.A.A.A.A.A.A.A.A.A.A.A.A.A.A.AB2A$.ABABA10.AC37A$2.A.A12.B$15.C35.CB
A$51.CBA!
Re: Star Wars Rule
Additionally, guns of all sufficiently high periods can be build with only pluses and a glider (reflectors and a signalsplitter). So all periods are constructable. The biggest bump I can see for future constructions is that all of the techniques you gave to move a plus require gliders from opposite sides. It would be a lot easier if it could be accomplished from only one direction like in life.
We have also found no way to build spaceships of arbitrarily high periods, or of any speed other than c. But this may be feasible with a UCC based spaceship, given how signals are even simpler to construct than a Herschel track.

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: Star Wars Rule
Calcyman used a stable memory cell in his binary counter, the cross is either there or not there to represent a bit. I am amazed his entire binary counter is using stable circuitry and is not dependent on any oscillator period. I would love to see a reaction that moves a cross with gliders from only one direction. So far, no luck finding a simple reaction to do that.137ben wrote:Anyways, it was previously shown how a single plus could act as a memory cell , but this was p12, while you have made a stable memory cell!
Found a bug!
Code: Select all
x = 84, y = 84, rule = 345/2/4
44.A$43.3A$42.2A.2A$41.2A.A.2A$40.2A.A.A.2A$39.2A.A.A.A.2A$38.2A.A.A.
A.A.2A$37.2A.A.A.A.A.A.2A$36.2A.A.A.A.A.A.A.2A$35.2A.A.A.5A.A.A.2A$
34.2A.A.A.2A3.2A.A.A.2A$33.2A.A.A.2A5.2A.A.A.2A$32.2A.A.A.2A7.2A.A.A.
2A$31.2A.A.A.2A9.2A.A.A.2A$30.2A.A.A.2A11.2A.A.A.2A$29.2A.A.A.2A13.2A
.A.A.2A$28.2A.A.A.2A15.2A.A.A.2A$27.2A.A.A.2A17.2A.A.A.2A$26.2A.A.A.
2A19.2A.A.A.2A$25.2A.A.A.2A21.2A.A.A.2A$24.2A.A.A.2A23.2A.A.A.2A$23.
2A.A.A.2A25.2A.A.A.2A$22.2A.A.A.2A27.2A.A.A.2A$21.2A.A.A.2A29.2A.A.A.
2A$20.2A.A.A.2A31.2A.A.A.2A$19.2A.A.A.2A33.2A.A.A.2A$18.2A.A.A.2A35.
2A.A.A.2A$17.2A.A.A.2A37.2A.A.A.2A$16.2A.A.A.2A39.2A.A.A.2A$15.2A.A.A
.2A41.2A.A.A.2A$14.2A.A.A.2A43.2A.A.A.2A$13.2A.A.A.2A45.2A.A.A.2A$12.
2A.A.A.2A47.2A.A.A.2A$11.2A.A.A.2A49.2A.A.A.2A$10.2A.A.A.2A35.2C14.2A
.A.A.2A$9.2A.A.A.2A36.2B15.2A.A.A.2A$8.2A.A.A.2A37.2A16.2A.A.A.2A$7.
2A.A.A.2A57.2A.A.A.2A$6.2A.A.A.2A59.2A.A.A.2A$5.2A.A.A.2A60.A.A.A.A.
2A$4.2A.A.A.2A61.2A.A.A.2A$3.2A.A.A.2A61.2A.A.A.2A$2.2A.A.A.2A61.2A.A
.A.2A$.2A.A.A.2A61.2A.A.A.2A$2A.A.A.A.A60.2A.A.A.2A$.2A.A.A.2A59.2A.A
.A.2A$2.2A.A.A.2A57.2A.A.A.2A$3.2A.A.A.2A55.2A.A.A.2A$4.2A.A.A.2A53.
2A.A.A.2A$5.2A.A.A.2A51.2A.A.A.2A$6.2A.A.A.2A49.2A.A.A.2A$7.2A.A.A.2A
47.2A.A.A.2A$8.2A.A.A.2A45.2A.A.A.2A$9.2A.A.A.2A43.2A.A.A.2A$10.2A.A.
A.2A41.2A.A.A.2A$11.2A.A.A.2A39.2A.A.A.2A$12.2A.A.A.2A37.2A.A.A.2A$
13.2A.A.A.2A35.2A.A.A.2A$14.2A.A.A.2A33.2A.A.A.2A$15.2A.A.A.2A31.2A.A
.A.2A$16.2A.A.A.2A29.2A.A.A.2A$17.2A.A.A.2A27.2A.A.A.2A$18.2A.A.A.2A
25.2A.A.A.2A$19.2A.A.A.2A23.2A.A.A.2A$20.2A.A.A.2A21.2A.A.A.2A$21.2A.
A.A.2A19.2A.A.A.2A$22.2A.A.A.2A17.2A.A.A.2A$23.2A.A.A.2A15.2A.A.A.2A$
24.2A.A.A.2A13.2A.A.A.2A$25.2A.A.A.2A11.2A.A.A.2A$26.2A.A.A.2A9.2A.A.
A.2A$27.2A.A.A.2A7.2A.A.A.2A$28.2A.A.A.2A5.2A.A.A.2A$29.2A.A.A.2A3.2A
.A.A.2A$30.2A.A.A.5A.A.A.2A$31.2A.A.A.A.A.A.A.2A$32.2A.A.A.A.A.A.2A$
33.2A.A.A.A.A.2A$34.2A.A.A.A.2A$35.2A.A.A.2A$36.2A.A.2A$37.2A.2A$38.
3A$39.A!
 Extrementhusiast
 Posts: 1858
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: Star Wars Rule
Code: Select all
x = 32, y = 32, rule = 345/2/4
15.2C10.C.A$15.2B9.B.3A$15.2A8.A.2A.2A$26.2A.2A$25.2A.2A$24.2A.2A$23.
2A.2A$22.2A.2A$21.2A.2A.C$20.2A.2A.B$19.2A.2A.A$18.2A.2A$17.2A.2A$16.
2A.2A$15.2A.2A$14.2A.2A$13.2A.2A$12.2A.2A$11.2A.2A$10.2A.2A$9.2A.2A$
8.2A.2A$7.2A.2A$6.2A.2A$5.2A.2A$4.2A.2A$3.2A.2A$2.2A.2A$.2A.2A$2A.2A$
.3A$2.A!
Re: Star Wars Rule
I was referring to the memory cell on the first page of this thread, which consists of only a single plus:Calcyman used a stable memory cell in his binary counter, the cross is either there or not there to represent a bit. I am amazed his entire binary counter is using stable circuitry and is not dependent on any oscillator period.
Code: Select all
x = 68, y = 79, rule = 345/2/4
6$8.2C8.2C$8.2B8.2B$8.2A8.2A14$8.2C8.2C$8.2B8.2B$8.2A8.2A5$54.2C$54.
2B$54.2A7$8.2C8.2C$8.2B8.2B33.A$8.2A8.2A32.3A$53.A8.ABC$62.ABC7$54.2C
$54.2B$54.2A3$8.2C8.2C$8.2B8.2B$8.2A8.2A2$52.CBA$9.CBA41.A$10.A9.A31.
3A$9.3A7.3A31.A8.ABC$10.A9.A41.ABC!
Anyways nice bug!
Extreme: the problem with using that reaction is that the duplicated signal moves along the original path. Actually, it could be used to half the period of a signal stream:
Code: Select all
x = 48, y = 45, rule = 345/2/4
3$39.C$38.B.A$37.A.3A$38.2A.2A$37.2A.2A$36.2A.2A$35.2A.2A$34.2A.2A$
26.2C3.C.2A.2A$26.2B2.B.2A.2A$26.2A.A.2A.2A$30.2A.2A$29.2A.2A$28.2A.
2A$27.2A.2A$26.2A.2A$25.2A.2A.C$24.2A.2A.B$23.2A.2A.A$22.2A.2A$21.2A.
2A$20.2A.2A$19.2A.2A$18.2A.2A$17.2A.2A$16.2A.2A$15.2A.2A$14.2A.2A$13.
2A.2A$12.2A.2A$11.2A.2A$12.3A$13.A!

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: Star Wars Rule
Code: Select all
x = 137, y = 82, rule = 345/2/4
128.A$113.CBA11.B.B$113.CBA10.2AC3A3.A$122.C.BC.AC3A2.3A$123.ABC.AB.A
4.A27$114.C4.A.A$117.C2AB2A12.A$CBA31.CBA31.CBA43.BCAB.AB2A11.3A$CBA
31.CBA31.CBA43.C.ABC.A14.A28$135.A$85.C48.3A$83.B4.A30.C4.A.A8.A$83.
2C.B4A31.C2AB2A$83.AB.AC3A28.BCAB.AB2A$80.C2.BC.AB.A29.C.ABC.A$48.CBA
$48.CBA11$27.CBA18.CBA$27.CBA18.CBA!
Not easy to make that p4 spaceship from gliders... Or is it?
EDIT:
These are the "pull by 2" versions:
Code: Select all
x = 109, y = 60, rule = 345/2/4
5.BC.ABC.A78.C.ABC.A$6.C2.A.AB2A76.BCAB.AB2A$8.2B.4A79.C2AB2A$8.AC.C.
A77.C4.A.A8.A$10.B95.3A$107.A7$5.CBA$5.CBA27$5.BC.ABC.A78.C.ABC.A$6.C
2.A.AB2A76.BCAB.AB2A$8.2B.4A79.C2AB2A$8.AC.C.A77.C4.A.A8.A$10.B95.3A$
107.A13$CBA$CBA!
 Extrementhusiast
 Posts: 1858
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: Star Wars Rule
Code: Select all
x = 14, y = 14, rule = 345/2/4
3.2C$3.2B$3.2A7$C$B.A$4A$2.A8.ABC$11.ABC!
Code: Select all
x = 13, y = 14, rule = 345/2/4
2.2C$2.2B$2.2A8$.A$3A$.A.A6.ABC$.CB7.ABC!
Code: Select all
x = 14, y = 14, rule = 345/2/4
3.2C$3.2B$3.2A8$C.A$B3A$A.A8.ABC$11.ABC!
Code: Select all
x = 14, y = 14, rule = 345/2/4
3.2C$3.2B$3.2A8$2.A$C3A$B.A8.ABC$.A9.ABC!
Code: Select all
x = 14, y = 14, rule = 345/2/4
3.2C$3.2B$3.2A8$2.A$.3[code]
[/code]
And another:
Code: Select all
x = 13, y = 14, rule = 345/2/4
2.2C$2.2B$2.2A8$.A$3A$.A8.ABC$CBA7.ABC!
Code: Select all
x = 13, y = 14, rule = 345/2/4
2.2C$2.2B$2.2A8$.A$4A$.A.B6.ABC$2.C7.ABC!
Code: Select all
x = 13, y = 5, rule = 345/2/4
.AB$.A.C$3A$.A8.ABC$10.ABC!
Code: Select all
x = 13, y = 5, rule = 345/2/4
ABC$.A$3A$.A8.ABC$10.ABC!
Code: Select all
x = 14, y = 5, rule = 345/2/4
.C$B.A$4A$2.A8.ABC$11.ABC!
Re: Star Wars Rule
Code: Select all
x = 9, y = 21, rule = 345/2/4
4.A.BA$2.C.3A$2.B2A.2AC$2.A.3A.B$3.A.A.A$4.BC13$2A$2B$2C!
 Extrementhusiast
 Posts: 1858
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Re: Star Wars Rule
It could be used for more than that. If we can make a memory cell, we can make the inverse of that data with that reaction.137ben wrote: Extreme: the problem with using that reaction is that the duplicated signal moves along the original path. Actually, it could be used to half the period of a signal stream:
(pattern)

 Posts: 126
 Joined: April 5th, 2009, 7:30 am
Re: Star Wars Rule
But what about c' = b1 AND NOT(b2) AND (b0 OR c)? It seems to be missing parentheses to me. It's like saying p AND q AND r. Is the q being fed into both gates or something? It'd be easier if you'd fully parenthesize it even when it's unnecessary, because I'm incompetent.
Once I know exactly what it means I can get started right away.
Re: Star Wars Rule
so it doesn't matter that he left out those parenthesis.
Re: Star Wars Rule
c' = (b1 AND NOT(b2)) AND (b0 OR c)
or:
c' = b1 AND (NOT(b2) AND (b0 OR c))
And if that's not clear enough, I've made a Boolean logiccircuit diagram. c' is the final state of the cell; c is the initial state.
 Attachments

 Logic diagram of the B3/S23 function
 logicB3S23.PNG (2.2 KiB) Viewed 12567 times
Re: Star Wars Rule
Code: Select all
sigma(n) = 0, b0 = 0, b1 = 0, b2 = 0;
sigma(n) = 1, b0 = 1, b1 = 0, b2 = 0;
sigma(n) = 2, b0 = 0, b1 = 1, b2 = 0;
sigma(n) = 3, b0 = 1, b1 = 1, b2 = 0;
sigma(n) = 4, b0 = 0, b1 = 0, b2 = 1;
sigma(n) = 5, b0 = 1, b1 = 0, b2 = 1;
sigma(n) = 6, b0 = 0, b1 = 1, b2 = 1;
sigma(n) = 7, b0 = 1, b1 = 1, b2 = 1;
sigma(n) = 8, b0 = 0, b1 = 0, b2 = 0.

 Posts: 126
 Joined: April 5th, 2009, 7:30 am
Re: Star Wars Rule
Code: Select all
x = 106, y = 121, rule = 345/2/4
64.C4.4C$64.C7.C$64.C7.C$64.4C.4C$64.C2.C.C$57.2C5.C2.C.C$57.2B5.4C.
4C$57.2B7$50.C4.2C$50.C5.C$42.2C6.C5.C$42.2B6.4C2.C$42.2B6.C2.C2.C$
50.C2.C2.C$50.4C2.C25$13.C4.4C$13.C4.C2.C$13.C4.C2.C$13.4C.C2.C$13.C
2.C.C2.C$13.C2.C.C2.C$13.4C.4C9$16.2C$16.2B$16.2B2$3C$C$C$3C18.A$20.
3A$21.A3$4.C2B$4.C2B$20.A2.A2.A2.A2.A2.A$19.18A$20.A2.A2.A2.A2.A2.A$
20.A2.A2.A2.A2.A2.A$19.18A$20.A14.A42.A25.A$77.3A2.A2.A2.A2.A2.A2.A2.
A2.3A$25.A2.A2.A46.A.23A.A$14.A9.9A46.2A.A2.A2.A2.A2.A2.A2.A.2A$13.3A
9.A5.A47.A12.CBA8.A$14.A10.A5.A46.3A21.3A$24.2A5.2A46.A23.A$18.A6.A4.
2A47.A23.A$17.3A2BC2.A3.2A47.3A21.3A$18.A.2BC.6A49.A23.A$25.A2.A50.A
23.A$18.2C22.2C34.3A21.3A$18.2B22.2B35.A23.A$18.2B22.2B35.A23.A$78.3A
21.3A$79.A23.A$64.A2.A2.A2.A5.A15.A2.A4.A$63.18A13.6A3.2A$64.A11.A2.A
13.2A3.A4.A$92.2A4.A4.A$20.A20.A49.2A5.2A3.2A$19.24A24.A2.A2.A18.A5.A
4.A$20.A2.A2.A2.A2.A2.A2.A2.A24.9A17.A5.A4.A$30.2C22.2C11.A5.A17.9A3.
2A$30.2B22.2B11.A5.A18.A2.A2.A4.A$30.2B22.2B10.2A5.2A28.A$67.A4.2A28.
3A$67.A3.2A7.A2.A2.A16.A$32.A20.A12.6A7.9A$31.24A12.A2.A9.A5.A$32.A2.
A2.A2.A2.A2.A2.A2.A26.A5.A$79.2A5.2A$80.2A4.A$81.2A3.A$82.6A$83.A2.A
5.A$91.3A$92.A$77.A11.A.2A$76.16A.A$77.A2.A2.A2.A5.3A$93.A!
EDIT: I forgot to tell you it's p100 because of the NOT gate.
EDIT: I have confirmed this is correct. Now, we need to modify the binary counter to be readable after counting x times. We also need to establish a size for the metacell.

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: Star Wars Rule
Code: Select all
x = 60, y = 70, rule = 345/2/4
39.C4.2C$39.C5.C$39.C5.C$31.2C6.4C2.C$31.2B6.C2.C2.C$31.2A6.C2.C2.C$
39.4C2.C6$13.C4.4C$13.C4.C2.C$13.C4.C2.C$13.4C.C2.C$13.C2.C.C2.C$13.C
2.C.C2.C$13.4C.4C9$16.2C$16.2B$16.2A$51.C4.4C$3C48.C7.C$C43.2C5.C7.C$
C43.2B5.4C.4C$3C18.A22.2A5.C2.C.C$20.3A28.C2.C.C$21.A29.4C.4C3$4.CBA$
4.CBA$20.A2.A2.A$19.9A$20.A2.A2.A$23.A2.A$23.5A$23.2A.A$6.A16.A$5.3A
14.3A$6.A16.A2$10.A8.A$9.3A2BC3.3A$10.A.2BC4.A2$10.2C19.2C$10.2B19.2B
$10.2B19.2B6$45.A$12.A17.A13.3A$11.21A13.A$12.A2.A2.A2.A2.A2.A2.A$16.
2C31.A$16.2B30.3A$16.2B31.A!
Code: Select all
x = 64, y = 17, rule = 345/2/4
.C6.2C27.C9.2C$C.C5.C.C25.C.C8.C.C$3C5.2C26.3C8.2C$C.C5.C.C25.C.C8.C.
C$C.C5.2C26.C.C8.2C2$.2C$.2B5.2C27.2C8.2C$.2A5.2B27.2B8.2B$8.2A27.2A
8.2A3$22.3C36.3C$2.A5.A13.C15.A8.A13.C$.9A7.ABC2.C14.12A7.ABC2.C$2.A
2.A2.A8.ABC2.C15.A2.A2.A2.A8.ABC2.C$22.3C36.3C!

 Posts: 566
 Joined: May 31st, 2009, 12:08 am
Re: Star Wars Rule
Code: Select all
x = 23, y = 15, rule = 345/2/4
21.A$20.3A$21.A2$11.A2.A2.A$10.9A$CBA8.A5.A$CBA5$9.2A$9.2B$9.2C!
Code: Select all
x = 139, y = 38, rule = 345/2/4
31.A49.A49.A$30.3A47.3A47.3A$31.A49.A49.A2$35.A49.A49.A$34.3A47.3A47.
3A$35.A49.A49.A$33.2A.2A45.2A.2A45.2A.2A$32.7A43.7A43.7A$CBA20.CBA7.A
3.A12.CBA20.CB8.A3.A12.CBA20.CBA7.A3.A$CBA20.CBA24.CBA20.CBA24.CBA20.
CBA2$32.A49.2A48.2A$32.2B48.2B48.2B$32.2C48.2C48.2C21$32.2A48.2A48.2A
$32.2B48.2B48.2B$32.2C48.2C48.2C!
Code: Select all
x = 25, y = 48, rule = 345/2/4
15.2C$15.2B$15.2A$10.CBA$10.CBA2$23.A$CBA19.3A$CBA20.A7$15.2A$15.2B$
15.2C13$15.2C$15.2B$15.2A$10.CBA$10.CBA2$23.A$CBA19.3A$CBA11.A8.A$13.
3A$14.A5$15.2A$15.2B$15.2C!
Here is a 4bit binary ripple counter making use of the reactions, counting each incoming glider:
Code: Select all
x = 1327, y = 98, rule = 345/2/4
1030.A30.A$1029.3A28.3A47.A30.A$1030.A30.A47.3A28.3A47.A30.A$1110.A
30.A47.3A28.3A47.A30.A$1007.A26.A22.A132.A30.A47.3A28.3A$1006.3A24.3A
20.3A28.A26.A22.A132.A30.A$1007.A26.A22.A28.3A24.3A20.3A28.A26.A22.A$
1087.A26.A22.A28.3A24.3A20.3A28.A26.A22.A$1011.A155.A26.A22.A28.3A24.
3A20.3A$1010.3A78.A155.A26.A22.A$1011.A78.3A78.A$1035.A55.A78.3A78.A$
1034.3A21.A56.A55.A78.3A$1035.A21.3A54.3A21.A56.A55.A$1058.A56.A21.3A
54.3A21.A56.A$1039.A98.A56.A21.3A54.3A21.A$1038.3A78.A98.A56.A21.3A$
1039.A78.3A78.A98.A$1119.A78.3A78.A$1199.A78.3A$1044.A234.A$1043.3A
78.A$1044.A78.3A78.A$1124.A78.3A78.A$1048.A155.A78.3A$1047.3A78.A155.
A$1048.A78.3A78.A$1128.A78.3A78.A$1208.A78.3A$1288.A3$1039.A9.A$1038.
3A7.3A68.A9.A$1039.A9.A68.3A7.3A68.A9.A$1119.A9.A68.3A7.3A68.A9.A$
1035.A17.A145.A9.A68.3A7.3A$1034.3A15.3A60.A17.A145.A9.A$1035.A17.A
60.3A15.3A60.A17.A$1115.A17.A60.3A15.3A60.A17.A$1195.A17.A60.3A15.3A$
1025.A249.A17.A$1004.A7.A11.3A78.A$1003.3A5.3A11.A58.A7.A11.3A78.A$
1004.A7.A70.3A5.3A11.A58.A7.A11.3A78.A$1084.A7.A70.3A5.3A11.A58.A7.A
11.3A$1016.A18.A128.A7.A70.3A5.3A11.A$CBA139.CBA139.CBA139.CBA139.CBA
139.CBA139.CBA139.CBA18.3A16.3A59.A18.A128.A7.A$CBA139.CBA139.CBA139.
CBA139.CBA139.CBA139.CBA139.CBA19.A18.A30.A7.C2B18.3A16.3A59.A18.A$
1025.A20.A18.3A6.C2B19.A18.A30.A7.C2B18.3A16.3A59.A18.A$1024.3A12.A5.
3A18.A38.A20.A18.3A6.C2B19.A18.A30.A7.C2B18.3A16.3A48.A$1025.A12.3A5.
A57.3A12.A5.3A18.A38.A20.A18.3A6.C2B19.A18.A30.A7.C2B7.3A$1039.A65.A
12.3A5.A57.3A12.A5.3A18.A38.A20.A18.3A6.C2B8.A$1029.A89.A65.A12.3A5.A
57.3A12.A5.3A18.A$1028.3A78.A89.A65.A12.3A5.A$1029.A78.3A78.A89.A$
1109.A78.3A78.A$1189.A78.3A$1269.A14$1029.A10.A$1028.3A8.3A67.A10.A$
1029.A10.A67.3A8.3A67.A10.A$1109.A10.A67.3A8.3A67.A10.A$1025.A18.A
144.A10.A67.3A8.3A$1024.3A16.3A59.A18.A144.A10.A$1025.A18.A59.3A16.3A
59.A18.A$1105.A18.A59.3A16.3A59.A18.A$1185.A18.A59.3A16.3A$1058.A206.
A18.A$1057.3A78.A$1058.A78.3A78.A$1138.A78.3A78.A$1218.A78.3A$1298.A
2$1016.A40.A$1015.3A38.3A37.A40.A$1016.A40.A37.3A38.3A37.A40.A$1096.A
40.A37.3A38.3A37.A40.A$1012.A48.A114.A40.A37.3A38.3A$1011.3A46.3A29.A
48.A114.A40.A$1012.A48.A29.3A46.3A29.A48.A$1092.A48.A29.3A46.3A29.A
48.A$1172.A48.A29.3A46.3A$1252.A48.A!
Input timing can be irregular because it is a stable design, although the example has even spacing for the input stream.
This counter still needs a readout, but is messy to implement. I like the previous idea of moving the plus because the read operation is almost completely independent.
So I went back to the "railroad switch" idea I posted earlier in this thread, having abandoned it when a simple flipflop was quite a chore to implement. I made a flipflop but it was not pretty. I think I found a way to move the plus that makes things easier, especially when a readout and a master reset are also needed to make a metacell. Still working on that one.
Just two spaceships from one direction can move the plus, but making use of this is difficult:
Code: Select all
x = 24, y = 5, rule = 345/2/4
10.ABC.AB.A4.A$9.C.BC.AC3A2.3A$CBA10.2AC3A3.A$CBA11.B.B$15.A!
Code: Select all
x = 71, y = 13, rule = 345/2/4
CBA$CBA36.CBA$39.CBA3$45.CBA18.ABC$45.CBA18.ABC5$68.ABC$68.ABC!
Can it be done with fewer gliders?
Curio:
Code: Select all
x = 30, y = 26, rule = 345/2/4
20.2C$20.2B$20.2A6$19.A2.A$18.6A$19.A2.A$16.A.2A2.2A.A$15.12A$16.A2.A
2.A2.A$13.A.2A2.A2.A2.2A.A$12.18A$CBA10.A2.A2.A2.A2.A2.A$CBA10.A2.A2.
A2.A2.A2.A$12.18A$13.A.2A2.A2.A2.2A.A$16.A2.A2.A2.A$15.12A$16.A.2A2.
2A.A$19.A2.A$18.6A$19.A2.A!
Re: Star Wars Rule
Code: Select all
x = 24, y = 15, rule = 345/2/4
15.ABC3.ABC$15.ABC3.ABC10$7.A$.A4.3A$3A4.A7.ABC3.ABC$.A13.ABC3.ABC!