Langton's Ant

For discussion of other cellular automata.
12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Langton's Ant

Has anyone found any odd patterns in Langton's ant? If so, post them here.

Sample:

Code: Select all

x = 78, y = 95, rule = Langtons-Ant
E94\$77.E!

Why hasn't a glider exploded yet?

Extrementhusiast
Posts: 1817
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Langton's Ant

Oscillator collection that I happened to have handy:

Code: Select all

x = 395, y = 134, rule = Langtons-Ant
32.D32.D2\$135.B5\$135.B25\$89.C\$88.AG4\$160.B2\$119.E\$43.2A74.G40.B\$42.A
2.A\$41.A4.A\$40.A3.3A11.D\$38.2D18.D\$60.A\$102.A\$102.C\$102.G\$82.A.C285.E
\$84.G284.2A\$367.EA2.A\$368.4A\$114.A\$115.C\$52.B62.G\$52.B\$52.A2\$198.2B
12.B2.B20.B4.B2\$143.C\$26.A116.G2\$111.H\$111.B4\$89.A3\$B\$B5\$78.D\$78.B6\$
187.B6.B30.B8.B\$110.2A\$109.A2.A.2A\$110.A4.C\$109.EA2.A3.A\$115.3A\$116.A
\$114.A40\$393.B\$392.ABA!
I Like My Heisenburps! (and others)

Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

Re: Langton's Ant

Exactly saying there is infinite such oscillators. Two ants perturb each other and then they start to go back on track they made. Here are two ants making weird frame

Code: Select all

x = 2, y = 5, rule = Langtons-Ant
.E4\$C!
There is something weird about this rule in golly. When running this symmetrical pattern

Code: Select all

x = 88, y = 88, rule = Langtons-Ant
47.E40\$D7\$87.B40\$40.C!
for about 53000 generations pattern becomes asymmetrical.
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

Tim Hutton
Posts: 64
Joined: May 20th, 2010, 7:30 am
Contact:

Re: Langton's Ant

Wojowu wrote:There is something weird about this rule in golly. When running this symmetrical pattern

Code: Select all

x = 88, y = 88, rule = Langtons-Ant
47.E40\$D7\$87.B40\$40.C!
for about 53000 generations pattern becomes asymmetrical.
Oh! Yes, we've a bug in our rule tree. At 53502 the ants lose their symmetry. This minimal example replicates the problem:

Code: Select all

x = 4, y = 4, rule = Langtons-Ant
.2A\$AHIA\$AGFA\$.2A!
Edit: I've committed the fixed file for the next version of Golly. Please overwrite your Langtons-Ant.tree in the Rules folder with the new one.

Thanks for finding this!

(For the record, I think this happened because our original rule table file didn't allow for multiple ants interacting. We eventually moved all the ant stuff over to the python script mentioned above which allows for lots of different possibilities but this tree file must have been generated in the transition stage.)
Last edited by Tim Hutton on January 18th, 2012, 5:35 am, edited 1 time in total.

Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

Re: Langton's Ant

Highway advancing by 20 generations

Code: Select all

x = 13, y = 16, rule = Langtons-Ant
A9\$10.2A\$7.2A2.2A\$6.A.2A.CA\$5.4A3.A\$5.5A.A\$6.A3.2A\$7.3A!
Highway turns right

Code: Select all

x = 19, y = 16, rule = Langtons-Ant
13.3A\$12.2AB.2A\$12.A4.A\$14.A.A.A\$13.4A.A\$13.A.2A.A\$14.4A\$15.2A7\$A\$.A!
Highway turns left

Code: Select all

x = 17, y = 17, rule = Langtons-Ant
11.3A\$10.2AB.2A\$10.A4.A\$12.A.A.A\$11.4A.A\$11.A.2A.A\$12.4A\$13.2A9\$A!
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Re: Langton's Ant

p24740 oscillator (Spiral-based)

Code: Select all

x = 31, y = 31, rule = Langtons-Ant
10.6A\$9.A6.A\$8.A8.A\$7.A12.A.2A\$6.A14.A.2A\$5.A17.G.A\$4.A21.A\$3.2AF21.A
\$3.A13.B10.A\$4.A11.A.A10.A\$3.A9.2A2.A.A10.A\$10.2A2.A2.A.A10.A\$9.A2.4A
.2A11.A\$2.A5.E.4A3.2A.A9.A\$.A7.A8.3A9.A\$A11.A5.A11.A\$A9.3A8.A7.A\$A9.A
.2A3.4A.C5.A\$A11.2A.4A2.A\$A10.A.A2.A2.2A\$A10.A.A2.2A9.A\$.A10.A.A11.A\$
2.A10.D13.A\$3.A21.H2A\$4.A21.A\$5.A.I17.A\$6.2A.A14.A\$7.2A.A12.A\$13.A8.A
\$14.A6.A\$15.6A!

Why hasn't a glider exploded yet?

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Re: Langton's Ant

High-period oscillator:

Code: Select all

x = 135, y = 135, rule = Langtons-Ant
62.6A\$61.A6.A\$60.A8.A\$59.A12.A\$58.A14.A.2A\$57.A16.AE.A\$56.A21.A\$55.A
23.A\$54.A25.A\$53.A27.A\$52.A29.A\$51.A31.A\$50.A33.A\$49.A35.A\$48.A37.A\$
47.A39.A\$46.A41.A\$45.A43.A\$44.A45.A\$43.A47.A\$42.A49.A\$41.A51.A\$40.A
53.A\$39.A55.A\$38.A57.A\$37.A59.A\$36.A34.2A25.A\$35.A26.6A2.A2.A25.A\$34.
A26.A6.A2.A2.A25.A\$33.A26.A8.2A4.A25.A\$32.A26.A16.A25.A\$31.A26.A18.A
25.A\$30.A26.A20.A25.A\$29.A26.A22.A25.A\$28.A26.A24.A25.A\$27.A26.A26.A
25.A\$26.A26.A28.A25.A\$25.A26.A30.A25.A\$24.A26.A32.A25.A\$23.A26.A34.A
25.A\$22.A26.A36.A25.A\$21.A26.A38.A25.A\$20.A26.A40.A25.A\$19.A26.A42.A
26.A\$14.A25.A52.A26.A\$13.A25.A54.A26.A\$12.A25.A56.A26.A\$11.A25.A58.A
26.A\$10.A25.A60.A26.A\$9.A25.A62.A26.A\$8.A25.A64.A26.A\$7.A25.A66.A26.A
22.A76.A26.A\$4.A22.A78.A26.A\$3.A22.A80.A26.A\$26.A.A78.A26.A\$27.A.A77.
A26.A\$2.A26.A77.A26.A\$.A26.A78.A26.A\$A26.A79.A26.A\$A26.A78.A26.A\$A26.
A77.A26.A\$A26.A77.A.A\$A26.A78.A.A\$A26.A80.A22.A\$.A26.A78.A22.A\$2.A26.
A76.A22.A\$3.A26.A74.A23.BA\$4.A26.A72.A25.A\$5.A26.A70.A25.A\$6.A26.A68.
A25.A\$7.A26.A66.A25.A\$8.A26.A64.A25.A\$9.A26.A62.A25.A\$10.A26.A60.A25.
A\$11.A26.A58.A25.A\$12.A26.A56.A25.A\$13.A26.A54.A25.A\$14.A26.A52.A25.A
\$15.A26.A50.A25.A\$16.A26.A48.A25.A\$17.A26.C46.A25.A\$18.A25.A44.BA25.A
\$19.A25.A42.A26.A\$20.A25.A40.A26.A\$21.A25.A38.A26.A\$22.A25.A36.A26.A\$
23.A25.A34.A26.A\$24.A25.A32.A26.A\$25.A25.A30.A26.A\$26.A25.A28.A26.A\$
27.A25.A26.A26.A\$28.A25.A24.A26.A\$29.A25.A22.A26.A\$30.A25.A20.A26.A\$
31.A25.A18.A26.A\$32.A25.A16.A26.A\$33.A25.A4.2A8.A26.A\$34.A25.A2.A2.A
6.A26.A\$35.A25.A2.A2.6A26.A\$36.A25.2A34.A\$37.A59.A\$38.A57.A\$39.A55.A\$
40.A53.A\$41.A51.A\$42.A49.A\$43.A47.A\$44.A45.A\$45.A43.A\$46.A41.A\$47.A
39.A\$48.A37.A\$49.A35.A\$50.A33.A\$51.A31.A\$52.A29.A\$53.A27.A\$54.A25.A\$
55.A23.A\$56.A21.A\$57.A.CA16.A\$58.2A.A14.A\$62.A12.A\$65.A8.A\$66.A6.A\$
67.6A!

Why hasn't a glider exploded yet?

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Langton's Ant

This is another very high-period oscillator, but with a microscopic bounding box.

Code: Select all

x = 38, y = 1, rule = Langtons-Ant
B36.B!

twinb7
Posts: 175
Joined: February 11th, 2014, 8:08 pm
Location: Ames, Iowa

Re: Langton's Ant

I used to have an algorithm that seemed to always allow me to produce 2-ant oscillators with any given pattern... I can't remember quite what it was, I'll figure out.

Code: Select all

x = 17, y = 19, rule = Langtons-Ant
2.4A\$.A4.A\$3A4.A\$6A\$.2A.A2.A.4A\$.8A4.2A\$.A.A.A.B.A\$2.2A.A2.2A5.A\$3.A
3.A.4A.2A\$5.A.5A\$5.A.A5.A2.A\$5.A.A5.4A\$5.5A2.A.A.A\$5.2A2.H2A4.A\$5.2A
5.A2.A\$4.2A6.A\$3.A6.A.2A\$3.A6.A\$4.8A!

Code: Select all

x = 10, y = 12, rule = Langtons-Ant
D\$10A\$A8.A\$A.2A2.2A.A\$A.2A2.2A.A\$A8.A\$A8.A\$A.A4.A.A\$A.6A.A\$A8.A\$10A\$B
!
Neither of these were made using that algorithm, these two were made with luck.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Langton's Ant

I just remembered this nicety, fitting in a 3x6 (!) bounding box.

Code: Select all

x = 3, y = 6, rule = Langtons-Ant
2A\$.2A\$.B\$2A\$.A\$D!

unname66609
Posts: 87
Joined: December 20th, 2014, 8:30 am

Re: Langton's Ant

spaceship:

Code: Select all

x = 4, y = 4, rule = Langtons-Ant
.AC\$E2.A\$.I2A\$.EA!

Βεν Γ. Κυθισ
Posts: 218
Joined: December 27th, 2018, 5:42 am

Re: Langton's Ant

Is there any cool thing behind the patterns that appear from this?

Code: Select all

x = 480, y = 480, rule = Langtons-Ant
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG\$GCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC\$CGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
GCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG
CGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGC
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GCGCG!
Sorry, some of my rules before April 20 2019 have Unicode characters that are not compatible with Golly; you will have to remove them when pasting them in your text editor.
If for some reason you needed to know, my PGP key ID is DB271923.