For discussion of other cellular automata.

Period 90856:
`x = 139, y = 141, rule = Langtons-Ant2\$5.3A3.A2.2A\$6.A3.2A.2A.A\$7.3A3.A2.2A\$8.A3.2A.2A.A\$9.3A3.A2.2A\$10.A3.2A.2A.A\$11.3A3.A2.2A\$12.A3.2A.2A.A\$13.3A3.A2.2A\$14.A3.2A.2A.A\$15.3A3.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.A6.A3.2A\$14.A.A.A.3A4.2A3.A.A.A.A.A.3A2.2A\$15.A4.A3.A.A.A.2A2.A2.A.2A3.4A.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.A2.3A4.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.A2.A\$19.A.A2.6A.4A.A.E4.A2.A\$16.3A.7A3.3A2.A4.3A2.4A.A\$16.A2.A2.A3.2A2.3A.2A.A2.2A.3A.4A\$16.A.A.A2.A2.A.A3.A7.2A2.4A.A\$18.2A3.A3.A.2A.A.4A2.A6.2A\$16.A6.A.2A.2A2.A2.3A2.A.2A.A\$17.A2.A4.5A7.2A.A.A.2A.A\$18.A2.A3.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\$64.2A3.2A2.A.A3.A.A.A2.A\$65.A2.A.A.A.A2.3A4.A.A\$66.2A3.3A.5A3.A.A\$67.A2.A7.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.2A9.4A3.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.4A2.3A4.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.3A3.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.A2.2A3.8A5.2A.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.A3.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.A2.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.A7.4A\$58.2A2.A.5A.A.A.A2.A2.A3.2A2.A.4A.3A2.2A.A\$59.A.A.3A.A2.2A.A2.A4.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.A2.A2.2A4.2A\$61.A2.2A2.A.2A\$61.A3.3A2.5A.A\$60.A3.A.A2.2A3.3A\$60.A2.7A2.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]
Last edited by testitemqlstudop on September 7th, 2018, 8:24 pm, edited 1 time in total.
SEARCH SNOWFLAKES
--------------------------------------------------
ln(2) = 0.4^0.4 + (e-pi/10)*10^-6

testitemqlstudop

Posts: 599
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

Re: Langton's Ant oscillator

testitemqlstudop wrote:Period 90856:
`x = 139, y = 141, rule = Langtons-Ant2\$5.3A3.A2.2A\$6.A3.2A.2A.A\$7.3A3.A2.2A\$8.A3.2A.2A.A\$9.3A3.A2.2A\$10.A3.2A.2A.A\$11.3A3.A2.2A\$12.A3.2A.2A.A\$13.3A3.A2.2A\$14.A3.2A.2A.A\$15.3A3.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.A6.A3.2A\$14.A.A.A.3A4.2A3.A.A.A.A.A.3A2.2A\$15.A4.A3.A.A.A.2A2.A2.A.2A3.4A.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.A2.3A4.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.A2.A\$19.A.A2.6A.4A.A.E4.A2.A\$16.3A.7A3.3A2.A4.3A2.4A.A\$16.A2.A2.A3.2A2.3A.2A.A2.2A.3A.4A\$16.A.A.A2.A2.A.A3.A7.2A2.4A.A\$18.2A3.A3.A.2A.A.4A2.A6.2A\$16.A6.A.2A.2A2.A2.3A2.A.2A.A\$17.A2.A4.5A7.2A.A.A.2A.A\$18.A2.A3.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\$64.2A3.2A2.A.A3.A.A.A2.A\$65.A2.A.A.A.A2.3A4.A.A\$66.2A3.3A.5A3.A.A\$67.A2.A7.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.2A9.4A3.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.4A2.3A4.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.3A3.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.A2.2A3.8A5.2A.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.A3.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.A2.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.A7.4A\$58.2A2.A.5A.A.A.A2.A2.A3.2A2.A.4A.3A2.2A.A\$59.A.A.3A.A2.2A.A2.A4.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.A2.A2.2A4.2A\$61.A2.2A2.A.2A\$61.A3.3A2.5A.A\$60.A3.A.A2.2A3.3A\$60.A2.7A2.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.

KittyTac

Posts: 533
Joined: December 21st, 2017, 9:58 am

Re: Langton's Ant oscillator

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.
wildmyron

Posts: 1073
Joined: August 9th, 2013, 12:45 am

Re: Langton's Ant oscillator

This also works(I found this osc before), but lower period:
`x = 14, y = 6, rule = Langtons-Ant2.2A7.2A\$.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.
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 916
Joined: September 11th, 2017, 2:54 am
Location: Universe

Re: Langton's Ant oscillator

Here's a two-ant p6088 oscillator I found by accident in April of this year:
`x = 43, y = 54, rule = Langtons-Ant42.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\$28.3A3.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.A3.2A.A.A\$2.A.A.2A8.A.A\$3.3A2.3A2.A2.3A\$4.2A8.A2.A\$15.2A!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Langton's Ant oscillator

Golly/Other Rules/golly ants.rle
do we really need an entirely new thread dedicated to this?
c(>^w^<c)~*
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Fluffy knows Natsuki best girl.

Redstoneboi

Posts: 332
Joined: May 14th, 2018, 3:57 am

Re: Langton's Ant oscillator

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:
`x = 130, y = 2, rule = Langtons-AntD128.D\$130A!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1063
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Langton's Ant oscillator

2 ant osc that "shoots" highways at the other one periodically, arbitrarily high periods in 2 ants only.
`x = 480, y = 485, rule = Langtons-AntC484\$479.C!`

smallest one in the family.
`x = 29, y = 34, rule = Langtons-AntC33\$28.C!`

this one makes a block and shoots it down.
`x = 28, y = 33, rule = Langtons-AntC32\$27.C!`
Last edited by Redstoneboi on September 6th, 2018, 4:32 am, edited 1 time in total.
c(>^w^<c)~*
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Fluffy knows Natsuki best girl.

Redstoneboi

Posts: 332
Joined: May 14th, 2018, 3:57 am

Re: Langton's Ant oscillator

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

`x = 304, y = 267, rule = Langtons-Ant12\$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.A41.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.A151.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.A219.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.A193.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.A125.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.A83.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.A14.A\$139.A12.A\$140.A10.A\$141.A8.A\$142.A6.A\$143.A4.A\$144.A2.A\$145.2A!`
SEARCH SNOWFLAKES
--------------------------------------------------
ln(2) = 0.4^0.4 + (e-pi/10)*10^-6

testitemqlstudop

Posts: 599
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

Re: Langton's Ant oscillator

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

`x = 304, y = 267, rule = Langtons-Ant12\$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.A41.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.A151.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.A219.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.A193.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.A125.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.A83.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.A14.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:
`x = 234, y = 233, rule = Langtons-Ant116.2A\$115.A2.A\$114.A4.A\$113.A6.A\$112.A8.A\$111.A10.A\$110.A12.A\$109.A14.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.A43.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.A73.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.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.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.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.A211.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.A223.A\$6.A221.A\$7.A219.A\$8.A217.A\$9.A215.A\$10.A213.A\$11.A211.A\$12.A209.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.A141.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.A85.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.A55.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!
`x = 234, y = 233, rule = Langtons-Ant116.2A\$115.A2.A\$114.A4.A\$113.A6.A\$112.A8.A\$111.A10.A\$110.A12.A\$109.A14.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.A43.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.A87.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.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.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.A211.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.A223.A\$6.A221.A\$7.A219.A\$8.A217.A\$9.A215.A\$10.A213.A\$11.A211.A\$12.A209.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.A141.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.A85.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.A55.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!`
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 916
Joined: September 11th, 2017, 2:54 am
Location: Universe

Langton's Ant tech

I noticed a different signal:
`x = 23, y = 19, rule = Langtons-Ant19.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:
`x = 18, y = 18, rule = Langtons-AntA\$.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!`
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 916
Joined: September 11th, 2017, 2:54 am
Location: Universe

Re: Langton's Ant oscillator

A small osc:
`x = 16, y = 14, rule = Langtons-Ant7.2A\$6.A2.A\$3.2A.A2.A.2A\$2.I.6A2.2A\$A.3A2.2A2.2A.A\$.A4.A.A2.A2.A\$2.A2.2A.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!`
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 916
Joined: September 11th, 2017, 2:54 am
Location: Universe

Re: Langton's Ant oscillator

P160900:
`x = 502, y = 517, rule = Langtons-Ant501.B516\$B!`
One big dirty Oro. Yeeeeeeeeee...

gameoflifemaniac

Posts: 722
Joined: January 22nd, 2017, 11:17 am
Location: There too

Re: Langton's Ant oscillator

gameoflifemaniac wrote:P160900:
`x = 502, y = 517, rule = Langtons-Ant501.B516\$B!`

Great!
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 916
Joined: September 11th, 2017, 2:54 am
Location: Universe

Re: Langton's Ant oscillator

Langton's Ant has an infinite series of oscillators of arbitrary period.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 681
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth