Thread for Langton's Ant technology

[testitemqlstudop]

Period 90856:

Code: Select all

x = 139, y = 141, rule = Langtons-Ant
2$5.3A3.A2.2A$6.A3.2A.2A.A$7.3A3.A2.2A$8.A3.2A.2A.A$9.3A3.A2.2A$10.A
3.2A.2A.A$11.3A3.A2.2A$12.A3.2A.2A.A$13.3A3.A2.2A$14.A3.2A.2A.A$15.3A
3.A2.2A$16.A3.2A.2A.A$17.3A3.A2.2A$18.A3.2A.2A.A$19.3A3.A2.6A$20.A3.
2A.2A2.2A.3A$12.2A2.2A3.A.A6.3A4.A2.2A$11.A.A2.A.A7.A.A3.2A.A6.3A$10.
A.6A.A3.A2.6A.A3.2A.A2.3A$9.A.A.A.A.A2.A2.2A.A.A4.4A.A.3A.A.A$9.A.A4.
2A.A2.A.A2.3A2.2A.2A.4A.4A$10.A2.A.5A3.2A.9A.3A2.A.A.A$10.A.3A2.2A.A.
4A3.A2.2A2.3A.6A.A$9.A3.6A3.A4.2A2.A.A2.2A.2A.A2.3A$9.A5.3A2.4A2.2A.
4A2.3A.2A.2A2.A$10.A8.2A.2A2.A.A3.3A3.5A.A$11.3A2.3A3.2A2.2A2.A.A2.A
6.A3.2A$14.A.A.A.3A4.2A3.A.A.A.A.A.3A2.2A$15.A4.A3.A.A.A.2A2.A2.A.2A
3.4A.A$16.A.A2.3A2.2A2.2A.A3.A2.A2.A5.A$16.2A4.A.5A.3A.A.3A.A.2A.A2.A
$15.2A3.2A2.A.2A2.3A2.A7.2A.A$15.4A5.A6.A.3A3.3A.A2.A$15.4A3.2A.4A.2A
.A.2A.A3.5A.A$15.2A.3A.A2.4A.A.2A.3A3.2A.A2.3A$16.A.A7.3A2.2A2.A2.3A
4.A2.2A$16.A5.A.2A.A3.A3.A.2A2.A.2A.2A$15.A3.2A.A3.A3.A2.4A2.2A.A.A3.
A.A$14.7A3.A.A3.2A2.2A2.2A5.A.4A$14.A2.A.A.2A2.A.2A2.A.2A.2A.A.A.A2.A
2.A$19.A.A2.6A.4A.A.E4.A2.A$16.3A.7A3.3A2.A4.3A2.4A.A$16.A2.A2.A3.2A
2.3A.2A.A2.2A.3A.4A$16.A.A.A2.A2.A.A3.A7.2A2.4A.A$18.2A3.A3.A.2A.A.4A
2.A6.2A$16.A6.A.2A.2A2.A2.3A2.A.2A.A$17.A2.A4.5A7.2A.A.A.2A.A$18.A2.A
3.A.A.A.A.A.A2.A2.A.A.3A$19.2A4.A3.2A2.A.A5.A.A.2A.A$25.2A.2A2.2A.A2.
5A.A.2A.A$24.A.A2.4A.A5.2A2.3A2.2A$23.A2.A.2A.A4.A.A.6A2.2A.A$23.A.2A
.2A6.A2.6A2.2A2.2A$24.2A4.A4.A4.2A.4A.A.2A.A$25.2A4.4A9.2A3.2A2.2A3.
2A$45.A2.A.A.2A.A3.2A$46.2A3.2A2.2A$47.A2.A.A.2A.5A$48.2A3.2A2.2A.2A$
49.A2.A.A.2A.3A$50.2A3.2A2.A2.A$51.A2.A.A.A.A.A$52.2A3.2A2.2A$53.A2.A
.A.2A.A$54.2A3.2A2.2A$55.A2.A.A.2A.A$56.2A3.2A2.2A$57.A2.A.A.2A.A$58.
2A3.2A2.2A$59.A2.A.A.2A.A6.2A2.6A$60.2A3.2A2.2A4.A2.2A6.A$61.A2.A.A.
2A.A2.A12.A$62.2A3.2A2.2A.A5.A2.A3.A$63.A2.A.A.2A.A2.A3.A.3A.A$64.2A
3.2A2.A.A3.A.A.A2.A$65.A2.A.A.A.A2.3A4.A.A$66.2A3.3A.5A3.A.A$67.A2.A
7.A2.2A2.A$68.2A2.2A.2A2.3A4.A$69.A3.A4.A.2A4.A$70.A2.3A3.A.A.A.A$71.
A3.A2.A.A.2A30.6A2.2A$70.A6.A2.4A29.A8.3A$70.2A2.6A2.A2.A26.3A.3A.2A.
A.A$70.A.A2.A3.A.3A2.3A21.3A.A2.A2.2A.A.4A$69.A2.3A.A.2A.A6.2A.2A9.4A
3.A2.A.A2.A.A8.A$68.A3.A2.2A2.3A.2A2.3A2.2A7.A4.A3.A2.A.A.A4.A.2A2.A$
68.A2.A.A.A.A3.2A4.A.A.2A.A5.3A4.A2.2A.5A.6A3.A$68.A2.A2.3A2.A.4A2.3A
4.A5.3A5.A.4A.2A.2A2.2A4.A$68.A2.A4.A.3A.A.A2.2A.4A4.2A2.2A.A6.A4.4A.
2A4.A$69.A2.2A3.A2.4A2.A.A8.A.3A2.A3.2A.A2.A3.A3.A4.A$70.2A.A7.4A.A.A
.A2.2A.A.4A.A2.3A2.3A3.3A.A2.2A.A$69.2A3.A.5A2.A.2A.2A2.A.2A.3A2.A.3A
3.A2.2A4.3A.A2.A.A$69.2A4.2A2.2A3.A2.2A.7A3.4A3.2A.A.A.3A.A.2A.A.A2.A
$63.6A7.A2.A.A4.3A.2A.3A.2A.3A2.7A.A3.A3.A2.2A.A$62.A3.A2.A.A2.2A3.8A
5.2A.A.4A5.2A2.2A3.4A4.5A$63.A.A4.A.A2.2A3.2A3.A.3A.A2.4A2.A6.2A7.A.A
.A.A2.A.A$61.3A5.A.A.3A.3A.3A.A2.A2.A.A2.A.3A2.4A.3A.A.A2.A5.A.2A$59.
6A.A.A3.6A.2A2.7A6.3A6.5A.3A2.2A2.5A.A$58.A2.A.A3.5A5.4A.A.A2.2A3.3A.
A3.2A7.4A.A3.2A3.A.2A$57.3A2.2A.A2.A3.3A4.2A11.3A.3A2.2A2.A2.A.4A.A2.
2A.6A$57.3A2.4A.2A.7A.2A.A.A3.3A2.2A.3A3.A.2A.A.A.2A.A.A2.A2.A2.A.A$
58.A.2A4.A2.A2.A.2A.2A.3A.A.A.3A.3A2.A7.3A2.A2.A.3A.2A.2A.A$58.A4.6A.
2A.A.6A4.A8.A.A.A5.A2.4A.A2.3A2.2A3.A$57.A3.A3.2A.2A2.A.2A2.A4.2A3.2A
.2A.2A.A.4A.2A.A2.4A4.3A.A2.A$57.A.A.2A4.2A.A2.A5.A.A4.2A.A3.A.A2.A.
2A.A.2A.A.2A.2A.2A.A2.A.A$58.A.A3.A.2A.2A2.A.5A2.A2.A2.A2.A.A3.A.A3.A
3.A.A2.2A.A3.A2.2A$60.A2.A.2A.A3.3A2.A4.2A2.A.A.4A.A.A.A3.5A5.2A4.A.
2A$60.2A5.2A.A.A2.A2.A.5A.A2.A.2A2.2A3.A2.A.A.2A.A.3A.3A.2A.A$62.2A.
2A5.A4.2A2.A3.A.A2.A3.A.2A2.6A.A.4A.A5.A2.A$59.6A2.3A3.A.2A.2A3.A.A.A
2.A.A2.2A4.3A.A3.3A2.6A2.A$61.A9.2A.3A3.3A3.A3.A.A2.A2.A.3A.A.2A4.A8.
A$60.A.5A4.A.A2.A3.2A2.4A.2A2.A2.2A3.2A2.A2.A4.A6.A$60.5A2.7A.2A5.A2.
A2.8A3.4A.A2.A2.A8.A$60.A4.A.A.2A3.A.3A2.A2.3A5.A.A.14A8.A$58.A2.3A3.
2A4.2A6.4A.5A2.4A5.A3.A10.A$57.A3.A2.3A.5A2.A4.2A.4A.A5.A.3A.A3.2A8.
3A$57.A2.A.2A.3A2.IA2.2A.A3.3A.2A.A3.A3.4A6.A6.A$57.A3.A.2A.A4.2A3.A.
A4.A3.A.3A2.2A2.A3.A4.A4.A$57.A.2A.2A3.3A.A.2A2.A.A3.A.2A.A.2A.2A5.A
7.4A$58.2A2.A.5A.A.A.A2.A2.A3.2A2.A.4A.3A2.2A.A$59.A.A.3A.A2.2A.A2.A
4.A3.2A2.4A.A4.A2.A$60.2A.2A7.4A6.A7.2A.A6.2A$61.2A7.A2.3A7.A8.A$61.
3A3.A.A.5A8.A4.3A$61.3A3.A4.A.A10.A2.A$62.4A20.2A$62.A.A.A.2A2.A$61.A
2.A2.2A4.2A$61.A2.2A2.A.2A$61.A3.3A2.5A.A$60.A3.A.A2.2A3.3A$60.A2.7A
2.A2.A$61.A2.A4.2A2.2A$62.2A!

I found this while scribbling in Golly.

Notice the top left art (used to be a highway) is cut off.
This pattern has period ~90856.

I thought there were no oscillators in Langton's Ant?

It is only known that the ant's trajectory is always unbounded regardless of the initial configuration[4] – this is known as the Cohen–Kung theorem.[5]

[KittyTac]

Period 90856:

Code: Select all

x = 139, y = 141, rule = Langtons-Ant
2$5.3A3.A2.2A$6.A3.2A.2A.A$7.3A3.A2.2A$8.A3.2A.2A.A$9.3A3.A2.2A$10.A
3.2A.2A.A$11.3A3.A2.2A$12.A3.2A.2A.A$13.3A3.A2.2A$14.A3.2A.2A.A$15.3A
3.A2.2A$16.A3.2A.2A.A$17.3A3.A2.2A$18.A3.2A.2A.A$19.3A3.A2.6A$20.A3.
2A.2A2.2A.3A$12.2A2.2A3.A.A6.3A4.A2.2A$11.A.A2.A.A7.A.A3.2A.A6.3A$10.
A.6A.A3.A2.6A.A3.2A.A2.3A$9.A.A.A.A.A2.A2.2A.A.A4.4A.A.3A.A.A$9.A.A4.
2A.A2.A.A2.3A2.2A.2A.4A.4A$10.A2.A.5A3.2A.9A.3A2.A.A.A$10.A.3A2.2A.A.
4A3.A2.2A2.3A.6A.A$9.A3.6A3.A4.2A2.A.A2.2A.2A.A2.3A$9.A5.3A2.4A2.2A.
4A2.3A.2A.2A2.A$10.A8.2A.2A2.A.A3.3A3.5A.A$11.3A2.3A3.2A2.2A2.A.A2.A
6.A3.2A$14.A.A.A.3A4.2A3.A.A.A.A.A.3A2.2A$15.A4.A3.A.A.A.2A2.A2.A.2A
3.4A.A$16.A.A2.3A2.2A2.2A.A3.A2.A2.A5.A$16.2A4.A.5A.3A.A.3A.A.2A.A2.A
$15.2A3.2A2.A.2A2.3A2.A7.2A.A$15.4A5.A6.A.3A3.3A.A2.A$15.4A3.2A.4A.2A
.A.2A.A3.5A.A$15.2A.3A.A2.4A.A.2A.3A3.2A.A2.3A$16.A.A7.3A2.2A2.A2.3A
4.A2.2A$16.A5.A.2A.A3.A3.A.2A2.A.2A.2A$15.A3.2A.A3.A3.A2.4A2.2A.A.A3.
A.A$14.7A3.A.A3.2A2.2A2.2A5.A.4A$14.A2.A.A.2A2.A.2A2.A.2A.2A.A.A.A2.A
2.A$19.A.A2.6A.4A.A.E4.A2.A$16.3A.7A3.3A2.A4.3A2.4A.A$16.A2.A2.A3.2A
2.3A.2A.A2.2A.3A.4A$16.A.A.A2.A2.A.A3.A7.2A2.4A.A$18.2A3.A3.A.2A.A.4A
2.A6.2A$16.A6.A.2A.2A2.A2.3A2.A.2A.A$17.A2.A4.5A7.2A.A.A.2A.A$18.A2.A
3.A.A.A.A.A.A2.A2.A.A.3A$19.2A4.A3.2A2.A.A5.A.A.2A.A$25.2A.2A2.2A.A2.
5A.A.2A.A$24.A.A2.4A.A5.2A2.3A2.2A$23.A2.A.2A.A4.A.A.6A2.2A.A$23.A.2A
.2A6.A2.6A2.2A2.2A$24.2A4.A4.A4.2A.4A.A.2A.A$25.2A4.4A9.2A3.2A2.2A3.
2A$45.A2.A.A.2A.A3.2A$46.2A3.2A2.2A$47.A2.A.A.2A.5A$48.2A3.2A2.2A.2A$
49.A2.A.A.2A.3A$50.2A3.2A2.A2.A$51.A2.A.A.A.A.A$52.2A3.2A2.2A$53.A2.A
.A.2A.A$54.2A3.2A2.2A$55.A2.A.A.2A.A$56.2A3.2A2.2A$57.A2.A.A.2A.A$58.
2A3.2A2.2A$59.A2.A.A.2A.A6.2A2.6A$60.2A3.2A2.2A4.A2.2A6.A$61.A2.A.A.
2A.A2.A12.A$62.2A3.2A2.2A.A5.A2.A3.A$63.A2.A.A.2A.A2.A3.A.3A.A$64.2A
3.2A2.A.A3.A.A.A2.A$65.A2.A.A.A.A2.3A4.A.A$66.2A3.3A.5A3.A.A$67.A2.A
7.A2.2A2.A$68.2A2.2A.2A2.3A4.A$69.A3.A4.A.2A4.A$70.A2.3A3.A.A.A.A$71.
A3.A2.A.A.2A30.6A2.2A$70.A6.A2.4A29.A8.3A$70.2A2.6A2.A2.A26.3A.3A.2A.
A.A$70.A.A2.A3.A.3A2.3A21.3A.A2.A2.2A.A.4A$69.A2.3A.A.2A.A6.2A.2A9.4A
3.A2.A.A2.A.A8.A$68.A3.A2.2A2.3A.2A2.3A2.2A7.A4.A3.A2.A.A.A4.A.2A2.A$
68.A2.A.A.A.A3.2A4.A.A.2A.A5.3A4.A2.2A.5A.6A3.A$68.A2.A2.3A2.A.4A2.3A
4.A5.3A5.A.4A.2A.2A2.2A4.A$68.A2.A4.A.3A.A.A2.2A.4A4.2A2.2A.A6.A4.4A.
2A4.A$69.A2.2A3.A2.4A2.A.A8.A.3A2.A3.2A.A2.A3.A3.A4.A$70.2A.A7.4A.A.A
.A2.2A.A.4A.A2.3A2.3A3.3A.A2.2A.A$69.2A3.A.5A2.A.2A.2A2.A.2A.3A2.A.3A
3.A2.2A4.3A.A2.A.A$69.2A4.2A2.2A3.A2.2A.7A3.4A3.2A.A.A.3A.A.2A.A.A2.A
$63.6A7.A2.A.A4.3A.2A.3A.2A.3A2.7A.A3.A3.A2.2A.A$62.A3.A2.A.A2.2A3.8A
5.2A.A.4A5.2A2.2A3.4A4.5A$63.A.A4.A.A2.2A3.2A3.A.3A.A2.4A2.A6.2A7.A.A
.A.A2.A.A$61.3A5.A.A.3A.3A.3A.A2.A2.A.A2.A.3A2.4A.3A.A.A2.A5.A.2A$59.
6A.A.A3.6A.2A2.7A6.3A6.5A.3A2.2A2.5A.A$58.A2.A.A3.5A5.4A.A.A2.2A3.3A.
A3.2A7.4A.A3.2A3.A.2A$57.3A2.2A.A2.A3.3A4.2A11.3A.3A2.2A2.A2.A.4A.A2.
2A.6A$57.3A2.4A.2A.7A.2A.A.A3.3A2.2A.3A3.A.2A.A.A.2A.A.A2.A2.A2.A.A$
58.A.2A4.A2.A2.A.2A.2A.3A.A.A.3A.3A2.A7.3A2.A2.A.3A.2A.2A.A$58.A4.6A.
2A.A.6A4.A8.A.A.A5.A2.4A.A2.3A2.2A3.A$57.A3.A3.2A.2A2.A.2A2.A4.2A3.2A
.2A.2A.A.4A.2A.A2.4A4.3A.A2.A$57.A.A.2A4.2A.A2.A5.A.A4.2A.A3.A.A2.A.
2A.A.2A.A.2A.2A.2A.A2.A.A$58.A.A3.A.2A.2A2.A.5A2.A2.A2.A2.A.A3.A.A3.A
3.A.A2.2A.A3.A2.2A$60.A2.A.2A.A3.3A2.A4.2A2.A.A.4A.A.A.A3.5A5.2A4.A.
2A$60.2A5.2A.A.A2.A2.A.5A.A2.A.2A2.2A3.A2.A.A.2A.A.3A.3A.2A.A$62.2A.
2A5.A4.2A2.A3.A.A2.A3.A.2A2.6A.A.4A.A5.A2.A$59.6A2.3A3.A.2A.2A3.A.A.A
2.A.A2.2A4.3A.A3.3A2.6A2.A$61.A9.2A.3A3.3A3.A3.A.A2.A2.A.3A.A.2A4.A8.
A$60.A.5A4.A.A2.A3.2A2.4A.2A2.A2.2A3.2A2.A2.A4.A6.A$60.5A2.7A.2A5.A2.
A2.8A3.4A.A2.A2.A8.A$60.A4.A.A.2A3.A.3A2.A2.3A5.A.A.14A8.A$58.A2.3A3.
2A4.2A6.4A.5A2.4A5.A3.A10.A$57.A3.A2.3A.5A2.A4.2A.4A.A5.A.3A.A3.2A8.
3A$57.A2.A.2A.3A2.IA2.2A.A3.3A.2A.A3.A3.4A6.A6.A$57.A3.A.2A.A4.2A3.A.
A4.A3.A.3A2.2A2.A3.A4.A4.A$57.A.2A.2A3.3A.A.2A2.A.A3.A.2A.A.2A.2A5.A
7.4A$58.2A2.A.5A.A.A.A2.A2.A3.2A2.A.4A.3A2.2A.A$59.A.A.3A.A2.2A.A2.A
4.A3.2A2.4A.A4.A2.A$60.2A.2A7.4A6.A7.2A.A6.2A$61.2A7.A2.3A7.A8.A$61.
3A3.A.A.5A8.A4.3A$61.3A3.A4.A.A10.A2.A$62.4A20.2A$62.A.A.A.2A2.A$61.A
2.A2.2A4.2A$61.A2.2A2.A.2A$61.A3.3A2.5A.A$60.A3.A.A2.2A3.3A$60.A2.7A
2.A2.A$61.A2.A4.2A2.2A$62.2A!

I found this while scribbling in Golly.

Notice the top left art (used to be a highway) is cut off.
This pattern has period ~90856.

I thought there were no oscillators in Langton's Ant?

It is only known that the ant's trajectory is always unbounded regardless of the initial configuration[4] – this is known as the Cohen–Kung theorem.[5]

There was a thread where we found spaceships and shorter-period oscs.

[wildmyron]

<snip pattern>

I thought there were no oscillators in Langton's Ant?

It is only known that the ant's trajectory is always unbounded regardless of the initial configuration[4] – this is known as the Cohen–Kung theorem.[5]

The proof of the Cohen–Kung theorem relies on there only being one ant in the universe (which corresponds to the head of the 2D Turing machine which Langton's Ant represents). Because there are two ants in your pattern the theorem doesn't apply.

[Hunting]

This also works(I found this osc before), but lower period:

Code: Select all

x = 14, y = 6, rule = Langtons-Ant
2.2A7.2A$.A2.A5.A2.A$A3.C4.A3.C$A2.A5.A2.A$.A2.A5.A2.A$2.2A7.2A!

@test, your oscillator is better than me, because your oscillator use lots of Langtons-Ant technology, but my oscillator is just two Langtons-Ant run ramdomly, without the "highway" or something interesting.

[77topaz]

Here's a two-ant p6088 oscillator I found by accident in April of this year:

Code: Select all

x = 43, y = 54, rule = Langtons-Ant
42.A$41.A$40.3A$39.A2.A$38.3A$37.A2.3A$36.3A3.A$35.A2.3A$34.3A3.A$33.
A2.3A2.A$32.3A3.A2.2A$31.A2.3A2.A.A$30.3A3.A2.2A$29.A2.3A2.A.A$28.3A
3.A2.2A$27.A2.3A2.A.A$26.3A3.A2.2A$25.A2.3A2.A.A$24.3A3.A2.2A$23.A2.
3A2.A.A$22.3A3.A2.2A$17.2A2.A2.3A2.A.A$16.A2.4A3.A2.2A$15.3A4.3A2.A.A
$15.A.A5.2A2.2A$11.2A2.4A.4A.A.A$8.2A2.A5.A2.2A2.2A$7.A.3A.2A2.A3.A.A
.A$6.A2.A2.A.A.2A5.2A$5.A2.A2.2A.A3.A.A2.A$5.A.A.3A3.A2.3A.A$6.A.8A.A
.A.A$9.A2.3A.A.3A$7.2A2.A2.A5.A.A$6.A3.3A3.A2.A$6.A.A3.A.A3.5A.A$7.A.
4A2.A.B.A.4A$5.3A3.2A2.A2.A.2A.A$4.A5.A.A2.3A3.2A$4.A.2A2.A.A.A3.A.A$
4.2A.A5.A3.A2.A$2.3A5.A.5A2.A$.A2.A2.A.A5.4A$3A4.A3.A4.AD$5A.A.4A.A.A
$.A5.3A2.2A.A.A$2.3A.A3.2A.2A.A.A$3.A.A2.A9.A$3.A.A.3A.A2.A2.A$2.A3.A
3.2A.A.A$2.A.A.2A8.A.A$3.3A2.3A2.A2.3A$4.2A8.A2.A$15.2A!

[Redstoneboi]

Golly/Other Rules/golly ants.rle
do we really need an entirely new thread dedicated to this?

[Hdjensofjfnen]

I found a 2c/16 in Langton's Ant once, but it required a buggy emulator (http://rossscrivener.co.uk/projects/langtons-ants/) that allowed 4 ants on the same location at once.

EDIT: Of course, one can make an arbitrarily high period 2 ant oscillator:

Code: Select all

x = 130, y = 2, rule = Langtons-Ant
D128.D$130A!

[Redstoneboi]

2 ant osc that "shoots" highways at the other one periodically, arbitrarily high periods in 2 ants only.

Code: Select all

x = 480, y = 485, rule = Langtons-Ant
C484$479.C!

smallest one in the family.

Code: Select all

x = 29, y = 34, rule = Langtons-Ant
C33$28.C!

this one makes a block and shoots it down.

Code: Select all

x = 28, y = 33, rule = Langtons-Ant
C32$27.C!

[testitemqlstudop]

There are an infinite amount of oscillators in Langton's Ant:

Code: Select all

x = 304, y = 267, rule = Langtons-Ant
12$145.2A$144.A2.A$143.A4.A$142.A6.A$141.A8.A$140.A10.A$139.A12.A$
138.A14.A$137.A16.A$136.A18.A$135.A20.A$134.A22.A$132.AG24.A$131.A27.
A$130.A29.A$129.A31.A$128.A33.A$127.A35.A$126.A37.A$125.A39.A$124.A
41.A$123.A43.A$122.A45.A$121.A47.A$120.A49.A$119.A51.A$118.A53.A$117.
A55.A$116.A57.A$115.A59.A$114.A61.A$113.A63.A$112.A65.A$111.A67.A$
110.A69.A$109.A71.A$108.A73.A$107.A75.A$106.A77.A$105.A79.A$104.A81.A
$103.A83.A$102.A85.A$101.A87.A$100.A89.A$99.A91.A$98.A93.A$97.A95.A$
96.A97.A$95.A99.A$94.A101.A$93.A103.A$92.A105.A$91.A107.A$90.A109.A$
89.A111.A$88.A113.A$87.A115.A$86.A117.A$85.A119.A$84.A121.A$83.A123.A
$82.A125.A$81.A127.A$80.A129.A$79.A131.A$78.A133.A$77.A135.A$76.A137.
A$75.A139.A$74.A141.A$73.A143.A$72.A145.A$71.A147.A$70.A149.A$69.A
151.A$68.A153.A$67.A155.A$66.A157.A$65.A159.A$64.A161.A$63.A163.A$62.
A165.A$61.A167.A$60.A169.A$59.A171.A$58.A173.A$57.A175.A$56.A177.A$
55.A179.A$54.A181.A$53.A183.A$52.A185.A$51.A187.A$50.A189.A$49.A191.A
$48.A193.A$47.A195.A$46.A197.A$45.A199.A$44.A201.A$43.A203.A$42.A205.
A$41.A207.A$40.A209.A$39.A211.A$38.A213.A$37.A215.A$35.2A217.A$35.A
219.A$34.A2.A218.A$33.A223.A$32.A225.A$31.A227.A$30.A229.A$29.A231.A$
29.A232.A$30.A231.A$31.A229.A$32.A227.A$33.A225.A$34.A223.A$35.A221.A
$36.A219.A$37.A217.A$38.A215.A$39.A213.A$40.A211.A$41.A209.A$42.A207.
A$43.A205.A$44.A203.A$45.A201.A$46.A199.A$47.A197.A$48.A195.A$49.A
193.A$50.A191.A$51.A189.A$52.A187.A$53.A185.A$54.A183.A$55.A181.A$56.
A179.A$57.A177.A$58.A175.A$59.A173.A$60.A171.A$61.A169.A$62.A167.A$
63.A165.A$64.A163.A$65.A161.A$66.A159.A$67.A157.A$68.A155.A$69.A153.A
$70.A151.A$71.A149.A$72.A147.A$73.A145.A$74.A143.A$75.A141.A$76.A139.
A$77.A137.A$78.A135.A$79.A133.A$80.A131.A$81.A129.A$82.A127.A$83.A
125.A$84.A123.A$85.A121.A$86.A119.A$87.A117.A$88.A115.A$89.A113.A$90.
A111.A$91.A109.A$92.A107.A$93.A105.A$94.A103.A$95.A101.A$96.A99.A$97.
A97.A$98.A95.A$99.A93.A$100.A91.A$101.A89.A$102.A87.A$103.A85.A$104.A
83.A$105.A81.A$106.A79.A$107.A77.A$108.A75.A$109.A73.A$110.A71.A$111.
A69.A$112.A67.A$113.A65.A$114.A63.A$115.A61.A$116.A59.A$117.A57.A$
118.A55.A$119.A53.A$120.A51.A$121.A49.A$122.A47.A$123.A45.A$124.A43.A
$125.A41.A$126.A39.A$127.A37.A$128.A35.A$129.A33.A$130.A31.A$131.A29.
A$132.A26.IA$133.A24.A$134.A22.A$135.A20.A$136.A18.A$137.A16.A$138.A
14.A$139.A12.A$140.A10.A$141.A8.A$142.A6.A$143.A4.A$144.A2.A$145.2A!

[Hunting]

There are an infinite amount of oscillators in Langton's Ant:

Code: Select all

x = 304, y = 267, rule = Langtons-Ant
12$145.2A$144.A2.A$143.A4.A$142.A6.A$141.A8.A$140.A10.A$139.A12.A$
138.A14.A$137.A16.A$136.A18.A$135.A20.A$134.A22.A$132.AG24.A$131.A27.
A$130.A29.A$129.A31.A$128.A33.A$127.A35.A$126.A37.A$125.A39.A$124.A
41.A$123.A43.A$122.A45.A$121.A47.A$120.A49.A$119.A51.A$118.A53.A$117.
A55.A$116.A57.A$115.A59.A$114.A61.A$113.A63.A$112.A65.A$111.A67.A$
110.A69.A$109.A71.A$108.A73.A$107.A75.A$106.A77.A$105.A79.A$104.A81.A
$103.A83.A$102.A85.A$101.A87.A$100.A89.A$99.A91.A$98.A93.A$97.A95.A$
96.A97.A$95.A99.A$94.A101.A$93.A103.A$92.A105.A$91.A107.A$90.A109.A$
89.A111.A$88.A113.A$87.A115.A$86.A117.A$85.A119.A$84.A121.A$83.A123.A
$82.A125.A$81.A127.A$80.A129.A$79.A131.A$78.A133.A$77.A135.A$76.A137.
A$75.A139.A$74.A141.A$73.A143.A$72.A145.A$71.A147.A$70.A149.A$69.A
151.A$68.A153.A$67.A155.A$66.A157.A$65.A159.A$64.A161.A$63.A163.A$62.
A165.A$61.A167.A$60.A169.A$59.A171.A$58.A173.A$57.A175.A$56.A177.A$
55.A179.A$54.A181.A$53.A183.A$52.A185.A$51.A187.A$50.A189.A$49.A191.A
$48.A193.A$47.A195.A$46.A197.A$45.A199.A$44.A201.A$43.A203.A$42.A205.
A$41.A207.A$40.A209.A$39.A211.A$38.A213.A$37.A215.A$35.2A217.A$35.A
219.A$34.A2.A218.A$33.A223.A$32.A225.A$31.A227.A$30.A229.A$29.A231.A$
29.A232.A$30.A231.A$31.A229.A$32.A227.A$33.A225.A$34.A223.A$35.A221.A
$36.A219.A$37.A217.A$38.A215.A$39.A213.A$40.A211.A$41.A209.A$42.A207.
A$43.A205.A$44.A203.A$45.A201.A$46.A199.A$47.A197.A$48.A195.A$49.A
193.A$50.A191.A$51.A189.A$52.A187.A$53.A185.A$54.A183.A$55.A181.A$56.
A179.A$57.A177.A$58.A175.A$59.A173.A$60.A171.A$61.A169.A$62.A167.A$
63.A165.A$64.A163.A$65.A161.A$66.A159.A$67.A157.A$68.A155.A$69.A153.A
$70.A151.A$71.A149.A$72.A147.A$73.A145.A$74.A143.A$75.A141.A$76.A139.
A$77.A137.A$78.A135.A$79.A133.A$80.A131.A$81.A129.A$82.A127.A$83.A
125.A$84.A123.A$85.A121.A$86.A119.A$87.A117.A$88.A115.A$89.A113.A$90.
A111.A$91.A109.A$92.A107.A$93.A105.A$94.A103.A$95.A101.A$96.A99.A$97.
A97.A$98.A95.A$99.A93.A$100.A91.A$101.A89.A$102.A87.A$103.A85.A$104.A
83.A$105.A81.A$106.A79.A$107.A77.A$108.A75.A$109.A73.A$110.A71.A$111.
A69.A$112.A67.A$113.A65.A$114.A63.A$115.A61.A$116.A59.A$117.A57.A$
118.A55.A$119.A53.A$120.A51.A$121.A49.A$122.A47.A$123.A45.A$124.A43.A
$125.A41.A$126.A39.A$127.A37.A$128.A35.A$129.A33.A$130.A31.A$131.A29.
A$132.A26.IA$133.A24.A$134.A22.A$135.A20.A$136.A18.A$137.A16.A$138.A
14.A$139.A12.A$140.A10.A$141.A8.A$142.A6.A$143.A4.A$144.A2.A$145.2A!

I know this is off-topic, but a space non-filler might be interesting:

Code: Select all

x = 234, y = 233, rule = Langtons-Ant
116.2A$115.A2.A$114.A4.A$113.A6.A$112.A8.A$111.A10.A$110.A12.A$109.A
14.A$108.A16.A$107.A18.A$106.A20.A$105.A22.A$103.AG24.A$102.A27.A$
101.A29.A$100.A31.A$99.A33.A$98.A35.A$97.A37.A$96.A39.A$95.A41.A$94.A
43.A$93.A45.A$92.A47.A$91.A49.A$90.A51.A$89.A53.A$88.A55.A$87.A57.A$
86.A59.A$85.A61.A$84.A63.A$83.A65.A$82.A67.A$81.A69.A$80.A71.A$79.A
73.A$78.A75.A$77.A77.A$76.A79.A$75.A81.A$74.A83.A$73.A85.A$72.A87.A$
71.A89.A$70.A91.A$69.A93.A$68.A95.A$67.A97.A$66.A99.A$65.A101.A$64.A
103.A$63.A105.A$62.A107.A$61.A109.A$60.A111.A$59.A113.A$58.A115.A$57.
A117.A$56.A119.A$55.A121.A$54.A123.A$53.A125.A$52.A127.A$51.A129.A$
50.A131.A$49.A133.A$48.A135.A$47.A137.A$46.A139.A$45.A141.A$44.A143.A
$43.A145.A$42.A147.A$41.A149.A$40.A151.A$39.A153.A$38.A155.A$37.A157.
A$36.A159.A$35.A161.A$34.A163.A$33.A165.A$32.A167.A$31.A169.A$30.A
171.A$29.A173.A$28.A175.A$27.A177.A$26.A179.A$25.A181.A$24.A183.A$23.
A185.A$22.A187.A$21.A189.A$20.A191.A$19.A193.A$18.A195.A$17.A197.A$
16.A199.A$15.A201.A$14.A203.A$13.A205.A$12.A207.A$11.A209.A$10.A211.A
$9.A213.A$8.A215.A$7.A217.A$6.A219.A$5.A221.A$4.A223.A$3.A225.A$2.A
227.A$.A229.A$A231.A$A232.A$.A231.A$2.A229.A$3.A227.A$4.A225.A$5.A
223.A$6.A221.A$7.A219.A$8.A217.A$9.A215.A$10.A213.A$11.A211.A$12.A
209.A$13.A207.A$14.A205.A$15.A203.A$16.A201.A$17.A199.A$18.A197.A$19.
A195.A$20.A193.A$21.A191.A$22.A189.A$23.A187.A$24.A185.A$25.A183.A$
26.A181.A$27.A179.A$28.A177.A$29.A175.A$30.A173.A$31.A171.A$32.A169.A
$33.A167.A$34.A165.A$35.A163.A$36.A161.A$37.A159.A$38.A157.A$39.A155.
A$40.A153.A$41.A151.A$42.A149.A$43.A147.A$44.A145.A$45.A143.A$46.A
141.A$47.A139.A$48.A137.A$49.A135.A$50.A133.A$51.A131.A$52.A129.A$53.
A127.A$54.A125.A$55.A123.A$56.A121.A$57.A119.A$58.A117.A$59.A115.A$
60.A113.A$61.A111.A$62.A109.A$63.A107.A$64.A105.A$65.A103.A$66.A101.A
$67.A99.A$68.A97.A$69.A95.A$70.A93.A$71.A91.A$72.A89.A$73.A87.A$74.A
85.A$75.A83.A$76.A81.A$77.A79.A$78.A77.A$79.A75.A$80.A73.A$81.A71.A$
82.A69.A$83.A67.A$84.A65.A$85.A63.A$86.A61.A$87.A59.A$88.A57.A$89.A
55.A$90.A53.A$91.A51.A$92.A49.A$93.A47.A$94.A45.A$95.A43.A$96.A41.A$
97.A39.A$98.A37.A$99.A35.A$100.A33.A$101.A31.A$102.A29.A$103.A26.IA$
104.A24.A$105.A22.A$106.A20.A$107.A18.A$108.A16.A$109.A14.A$110.A12.A
$111.A10.A$112.A8.A$113.A6.A$114.A4.A$115.A2.A$116.2A!

Or... this? A black dot can "bounce" the double-ant ring!

Code: Select all

x = 234, y = 233, rule = Langtons-Ant
116.2A$115.A2.A$114.A4.A$113.A6.A$112.A8.A$111.A10.A$110.A12.A$109.A
14.A$108.A16.A$107.A18.A$106.A20.A$105.A22.A$103.AG24.A$102.A27.A$
101.A29.A$100.A31.A$99.A33.A$98.A35.A$97.A37.A$96.A39.A$95.A41.A$94.A
43.A$93.A45.A$92.A47.A$91.A49.A$90.A51.A$89.A53.A$88.A55.A$87.A57.A$
86.A59.A$85.A61.A$84.A63.A$53.A29.A65.A$82.A67.A$81.A69.A$80.A71.A$
79.A73.A$78.A75.A$77.A77.A$76.A79.A$75.A81.A$74.A83.A$73.A85.A$72.A
87.A$71.A89.A$70.A91.A$69.A93.A$68.A95.A$67.A97.A$66.A99.A$65.A101.A$
64.A103.A$63.A105.A$62.A107.A$61.A109.A$60.A111.A$59.A113.A$58.A115.A
$57.A117.A$56.A119.A$55.A121.A$54.A123.A$53.A125.A$52.A127.A$51.A129.
A$50.A131.A$49.A133.A$48.A135.A$47.A137.A$46.A139.A$45.A141.A$44.A
143.A$43.A145.A$42.A147.A$41.A149.A$40.A151.A$39.A153.A$38.A155.A$37.
A157.A$36.A159.A$35.A161.A$34.A163.A$33.A165.A$32.A167.A$31.A169.A$
30.A171.A$29.A173.A$28.A175.A$27.A177.A$26.A179.A$25.A181.A$24.A183.A
$23.A185.A$22.A187.A$21.A189.A$20.A191.A$19.A193.A$18.A195.A$17.A197.
A$16.A199.A$15.A201.A$14.A203.A$13.A205.A$12.A207.A$11.A209.A$10.A
211.A$9.A213.A$8.A215.A$7.A217.A$6.A219.A$5.A221.A$4.A223.A$3.A225.A$
2.A227.A$.A229.A$A231.A$A232.A$.A231.A$2.A229.A$3.A227.A$4.A225.A$5.A
223.A$6.A221.A$7.A219.A$8.A217.A$9.A215.A$10.A213.A$11.A211.A$12.A
209.A$13.A207.A$14.A205.A$15.A203.A$16.A201.A$17.A199.A$18.A197.A$19.
A195.A$20.A193.A$21.A191.A$22.A189.A$23.A187.A$24.A185.A$25.A183.A$
26.A181.A$27.A179.A$28.A177.A$29.A175.A$30.A173.A$31.A171.A$32.A169.A
$33.A167.A$34.A165.A$35.A163.A$36.A161.A$37.A159.A$38.A157.A$39.A155.
A$40.A153.A$41.A151.A$42.A149.A$43.A147.A$44.A145.A$45.A143.A$46.A
141.A$47.A139.A$48.A137.A$49.A135.A$50.A133.A$51.A131.A$52.A129.A$53.
A127.A$54.A125.A$55.A123.A$56.A121.A$57.A119.A$58.A117.A$59.A115.A$
60.A113.A$61.A111.A$62.A109.A$63.A107.A$64.A105.A$65.A103.A$66.A101.A
$67.A99.A$68.A97.A$69.A95.A$70.A93.A$71.A91.A$72.A89.A$73.A87.A$74.A
85.A$75.A83.A$76.A81.A$77.A79.A$78.A77.A$79.A75.A$80.A73.A$81.A71.A$
82.A69.A$83.A67.A$84.A65.A$85.A63.A$86.A61.A$87.A59.A$88.A57.A$89.A
55.A$90.A53.A$91.A51.A$92.A49.A$93.A47.A$94.A45.A$95.A43.A$96.A41.A$
97.A39.A$98.A37.A$99.A35.A$100.A33.A$101.A31.A$102.A29.A$103.A26.IA$
104.A24.A$105.A22.A$106.A20.A$107.A18.A$108.A16.A$109.A14.A$110.A12.A
$111.A10.A$112.A8.A$113.A6.A$114.A4.A$115.A2.A$116.2A!

[Hunting]

@test, How about changing this thread to a Langton's Ant tech thread?
I noticed a different signal:

Code: Select all

x = 23, y = 19, rule = Langtons-Ant
19.A$18.A$17.A$16.A$15.A$14.A$13.A$12.A$11.A$10.A$9.A$8.B.A$8.3A$9.A$
8.A$7.A$6.A$5.A$4.A!

Which can reflect the ordinary signal:

Code: Select all

x = 18, y = 18, rule = Langtons-Ant
A$.A$2.C$2.A$3.A$4.A$5.A$6.A$7.A$8.A$9.A$10.A$11.A$12.A.2A$13.A.2A$
14.EA.A!

[Hunting]

A small osc:

Code: Select all

x = 16, y = 14, rule = Langtons-Ant
7.2A$6.A2.A$3.2A.A2.A.2A$2.I.6A2.2A$A.3A2.2A2.2A.A$.A4.A.A2.A2.A$2.A
2.2A.2A.A.A$2.A7.2A$.3A3.A3.2A.A$.A.2A3.A3.3A$4.A2.A5.A$2.AI.2A3.A2.A
$2.A2.A2.A2.A2.A$5.2A2.2A4.A!

[gameoflifemaniac]

P160900:

Code: Select all

x = 502, y = 517, rule = Langtons-Ant
501.B516$B!

[Hunting]

P160900:

Code: Select all

x = 502, y = 517, rule = Langtons-Ant
501.B516$B!

Great!

[Gamedziner]

Langton's Ant has an infinite series of oscillators of arbitrary period.