Page 1 of 1
Thread for Langton's Ant technology
Posted: September 5th, 2018, 4:38 am
by 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]
Re: Langton's Ant oscillator
Posted: September 5th, 2018, 4:40 am
by KittyTac
testitemqlstudop wrote: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$62.2A!
I found this while scribbling in Golly.
Notice the top left art (used to be a highway) is cut off.
This pattern has period ~90856.
I thought there were no oscillators in Langton's Ant?
It is only known that the ant's trajectory is always unbounded regardless of the initial configuration[4] – this is known as the Cohen–Kung theorem.[5]
There was a thread where we found spaceships and shorter-period oscs.
Re: Langton's Ant oscillator
Posted: September 5th, 2018, 5:07 am
by wildmyron
testitemqlstudop wrote:<snip pattern>
I thought there were no oscillators in Langton's Ant?
It is only known that the ant's trajectory is always unbounded regardless of the initial configuration[4] – this is known as the Cohen–Kung theorem.[5]
The proof of the Cohen–Kung theorem relies on there only being one ant in the universe (which corresponds to the head of the 2D Turing machine which Langton's Ant represents). Because there are two ants in your pattern the theorem doesn't apply.
Re: Langton's Ant oscillator
Posted: September 5th, 2018, 6:23 am
by Hunting
This also works(I found this osc before), but lower period:
Code: Select all
x = 14, y = 6, rule = Langtons-Ant
2.2A7.2A$.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.
Re: Langton's Ant oscillator
Posted: September 5th, 2018, 6:37 am
by 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!
Re: Langton's Ant oscillator
Posted: September 5th, 2018, 9:58 am
by Redstoneboi
Golly/Other Rules/golly ants.rle
do we really need an entirely new thread dedicated to this?
Re: Langton's Ant oscillator
Posted: September 5th, 2018, 11:30 pm
by 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!
Re: Langton's Ant oscillator
Posted: September 6th, 2018, 4:26 am
by 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!
Re: Langton's Ant oscillator
Posted: September 7th, 2018, 2:52 am
by 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!
Re: Langton's Ant oscillator
Posted: September 7th, 2018, 3:27 am
by Hunting
testitemqlstudop wrote: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!
Langton's Ant tech
Posted: September 7th, 2018, 3:34 am
by 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!
Re: Langton's Ant oscillator
Posted: September 7th, 2018, 3:38 am
by 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$5.2A2.2A4.A!
Re: Langton's Ant oscillator
Posted: September 7th, 2018, 10:22 am
by gameoflifemaniac
P160900:
Code: Select all
x = 502, y = 517, rule = Langtons-Ant
501.B516$B!
Re: Langton's Ant oscillator
Posted: September 7th, 2018, 10:40 am
by Hunting
gameoflifemaniac wrote:P160900:
Code: Select all
x = 502, y = 517, rule = Langtons-Ant
501.B516$B!
Great!
Re: Langton's Ant oscillator
Posted: September 7th, 2018, 11:26 am
by Gamedziner
Langton's Ant has an infinite series of oscillators of arbitrary period.