A spaceship in Langtons Ant!?

[gameoflifemaniac]

A LOT of oscillators. Most of them are by me.

Code: Select all

x = 163, y = 147, rule = Langtons-Ant
119.A$119.2A$118.2A.A12.2A$118.A2.2A2.A2.A2.A.2A.A$117.2A.2A2.A2.A2.A
4.A.A12.2A$114.3A3.A5.A.2A2.4A.A3.4A6.2A$115.A3.2A.A6.2A.A.A.A3.A4.3A
2.2A.A$116.3A2.A2.A2.4A3.A.2A.A2.A2.A.A.A3.A$108.2A4.2A.A2.A2.A5.A3.A
.2A.A2.2A2.2A2.A2.A$107.A2.A4.2A.4A2.5A.2A7.A5.3A3.A$106.3A.2A2.2A.A.
A4.5A3.A4.A.A5.3A2.2A$106.A.A2.A3.9A3.3A.A3.2A10.A2.3A$108.2A.A.2A4.
6A3.3A.A.A.A2.A2.A2.5A.2A$107.2A5.5A3.A.A.A4.A2.A.A4.A.2A.5A.3A$107.A
8.2A.A.A2.3A2.A.4A.3A.6A2.A.2A3.A$108.A.3A3.A2.A3.2A.A.A.3A2.A2.A.A.A
.A5.A5.A$108.9A.A3.A3.2A.A3.2A4.A5.2A9.A$108.A2.2A.3A.3A2.2A.A3.6A5.A
4.2A.2A4.A$108.A3.A.4A4.2A.2A3.4A4.A3.A2.A.3A.2A.2A$108.A2.11A.3A.3A
3.4A3.A.A4.4A3.A.A2.2A$108.A.A.3A.3A7.A.3A2.2A.4A2.A.3A4.4A2.A.3A$
108.A2.A2.A2.A.2A.A2.A.4A.A.5A2.2A.3A.A2.A2.3A3.A.A$109.A2.A2.A2.3A.A
3.2A2.A.A.2A.2A.3A3.4A2.A.A2.A4.A$5.IG5.GI5.C4.I4.B5.DA4.E4.B4.2A3.H
10.D15.H25.A.2A3.2A2.2A.A2.4A.A2.A.A.2A2.3A.4A2.A3.A2.A2.A$19.C4.C4.H
5.HA4.I4.HA3.IG12.BI16.B24.A.3A.2A3.3A5.A3.A.2A2.A.A.3A7.4A3.A3.A$57.
D7.F17.B.B22.A2.8A.2A.3A.2A3.A.3A.A2.A2.A.4A.4A2.2A2.A$108.A2.A.A.3A.
A.A7.5A2.4A8.3A6.A.A$107.A4.4A2.2A3.3A2.2A.A3.A.2A2.A.2A.3A2.3A3.3A$
107.A.A3.5A.A2.3A.2A.2A.A4.3A.A.A2.A3.A3.2A2.3A$108.A.2A5.A2.6A2.A.A.
A.A.A2.A.2A2.3A.A3.5A$111.A2.5A2.A.3A3.A.A5.2A.A.A4.2A.A3.A.A$109.A2.
4A2.8A.A.A2.A.2A2.2A.A.A.A10.A$110.A.2A3.A2.A.2A.2A.A7.A2.A.A4.A.3A.A
5.2A$108.HA2.4A2.A.3A.A.2A.A10.5A.A.2A2.A.A4.2A$17.AGE6.2A9.GA9.A10.A
.I50.A2.2A2.A.4A.3A2.A4.A.A9.A2.A.A3.A.A.A$5.A2G2.A6.G9.HB8.HI8.I11.I
51.3A3.2A.A2.3A5.2A.A2.A.A3.2A2.A2.2A.A3.A3.A$6.2G9.HIH16.EDG10.I9.I.
I49.A2.A4.A.2A7.A.A4.A2.A3.A4.A.5A2.A.A$118.A2.A2.4A.2A.2A3.3A4.2A.A
2.3A.A.A.A$70.2IB39.4A.A.2A.3A.5A4.A3.4A3.A.A.2A.A.A3.A.A$71.DE39.A.A
.A10.2A.A.2A.A.A8.2A.2A.A2.2A2.3A$70.2BC40.3A.A3.6A.A8.4A.3A.2A.2A3.A
.2A2.A$114.3A2.A.2A2.6A.A.2A.A.3A.A4.2A4.6A$118.A2.A3.5A3.3A2.A.A.A2.
4A.2A4.A$115.2A.A8.2A2.3A.4A2.4A.A.5A$3I111.A2.2A2.A6.3A2.4A.A.A5.2A
2.A.A.A$3I80.H29.3A2.3A4.A2.2A2.2A.3A4.2A.A6.A$83.A29.A.2A5.3A.4A2.A
2.A2.3A.2A2.A.A2.A.2A$83.A31.DA3.A2.A.A.A.2A3.A4.2A.A3.8A.A$35.3A16.C
28.A.A2.A29.2A2.3A.2A4.A.2A.3A.A.2A.A2.2A2.3A$35.A2.A14.E15.2A12.A2.
3A26.A3.A2.A.A.A.A2.A4.4A.2A2.A2.A6.A$35.EA17.HI12.A2.A10.3AF.3A27.A.
A.5A.A.A4.4A.A.4A.3A.2A2.3A$20.A15.A.A28.A2.2A9.A.A3.A27.A2.A8.A.A.3A
.2A.A5.A.A.2A2.2A$20.CG15.AE29.A2.A9.A2.A30.A9.2A2.2A.3A2.3A.3A.A.A$
67.G2.EA10.A2.A31.A.A.4A4.6A5.2A3.A.A$83.3A29.A2.A.A4.2A2.A3.3A.A2.A
2.2A.A$9.EIA103.A2.A.A2.A5.A.3A.5A.A2.2A$10.2G103.A2.5A2.4A2.A2.A2.A.
2A.A.2A$116.A2.A2.6A2.2A7.3A2.3A$117.2A.A.A.4A3.A.A5.A4.3A$47.I71.A2.
A3.3A2.3A6.A4.A$47.CA70.A.2A.A2.3A2.A8.4A$120.2A8.2A$121.2A2$37.IC$
37.IG23$20.I$16.C3.A3$11.HA$23.D3$12.B$23.AF$103.2A$102.AF2A$15.A3.E
81.2A.A.A$15.G84.A3.A.2A$99.4A.3A.A$99.5A.A2.2A$100.A3.2A.2A.A$101.3A
3.A2.2A4.2A$102.A3.2A.2A.A2.A2.3A$103.3A3.A2.2A2.A2.3A$104.A3.2A.2A2.
A4.A.A$105.3A3.3AHA2.A3.A$106.A3.2A.2A2.2A2.A$107.5A3.A3.A.A$109.A2.
3A3.4A.10A$112.4A2.A2.2A10.A$107.A4.A.2A4.2A.A10.A$107.A.A.5A3.2A.A7.
A3.A$107.A.A.A3.4A3.A2.A4.2A.A$107.A.A2.A.3A.A.A.A2.2A4.A.A$108.A2.A.
A2.A3.2A.A2.2A4.A$108.3A.A.A2.A4.3A.3A3.A.A$108.A.2A2.4A4.A3.9A$115.A
.A2.A3.A3.A3.A.A$109.A4.A2.2A4.2A6.3A$108.A2.2A3.A.3A.4A2.A2.3A$108.A
.3A.2A2.A.2A2.A2.2A2.2A.A5.A$109.2A2.A3.4A.3A4.A.A3.A.A2.A$110.2A4.2A
4.A2.A.A.2A8.2A$117.3A.A5.4A5.6A$123.A12.A2.A.2A.A$122.A2.A.3A5.3A3.
3A.A$119.A2.3A2.2A6.A3.A.2A2.A$119.A3.A2.A.2A7.4A2.3A$119.A2.2A.A2.A
2.A3.A.A2.2A$119.A7.4A.A2.4A$119.A5.3A2.4A.A$119.A3.A2.3A.2A.2A$119.A
3.2A4.A.A$119.A.A.4A3.A$120.2A.A.A.A$122.A.2A2.2A$122.2A.5A$120.2A2.A
3.A$120.A.2A.A.2A$126.A.A$122.A.A3.A$123.A3.2A$124.3A!

[83bismuth38]

p20272?! waw...
EDIT:some... things:

Code: Select all

x = 45, y = 18, rule = Langtons-Ant
26.I$25.AIA16.A$23.2A.2A$24.4A$22.2A.E.A$22.AGA.A$23.A2.A$24.2A3$2.2A
$AC.A$AIA$42.A$40.2I$40.2I2$37.A!

[83bismuth38]

BUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUMBT:

Code: Select all

x = 818, y = 727, rule = Langtons-Ant
782.A2.2A$782.6A$770.2A2.A3.2A.2A2.2A3.A$769.A2.A2.3A3.3A.A2.3A$768.A
4.A2.A6.A.A.A.2A$763.2A2.2A.4A3.2A.4A3.3A.A$762.4A2.3A2.A3.A4.2A2.2A
3.A9.2A$761.3A2.A.A.2A.A2.3A.2A.2A5.A9.A2.A$761.A.2A4.A.A.A2.A.A.4A3.
A2.A2.2A6.A4.A$763.2A.3A.2A.A2.A.A.A4.3A2.2A2.2A2.2A.A2.3A$763.A4.A3.
2A.2A.2A2.A3.2A.2A2.2A2.A3.A.A.2A$764.A4.4A.3A.A.A2.3A.5A.A5.A.A2.2A.
A$763.3A.A4.5A.A5.A6.A.A.A4.A.2A3.A$763.A.2A.3A.A.2A2.2A.A3.2A.4A.A2.
4A.A.A2.A$766.A.A.3A.A.A2.A.2A2.A.2A.2A.2A2.3A3.2A$766.A.2A.6A.A2.A.
2A.4A6.2A2.A$766.A.A2.A.A.2A.A2.A2.A2.2A2.5A2.A.4A2.A$764.A2.A.A.2A2.
2A.A.A2.6A2.A.A.A2.2A2.A2.3A$763.A3.2A2.3A.A3.A.6A.3A2.A2.2A3.A.5A$
763.A.A.4A3.A2.A.A.A3.A.A.A4.A.A.2A.A.A2.A3.A$764.A.2A.A.4A.3A.4A2.A.
2A.A.A.A.A2.A.A.A.5A$767.A.2A.A.A.A2.2A.A2.A2.A2.3A.A.A4.A4.A.2A$764.
2A2.A2.A.3A2.2A2.A4.A.2A.2A2.4A.3A2.4A.A$765.2A2.A2.A.A2.3A.A.A.4A.A.
3A.A.2A.7A3.A$762.3A2.3A3.A.A.2A2.A2.A3.A.A.A.A.A.A.A2.3A.2A.A$763.A.
3A3.9A3.A3.4A.A.A3.2A.2A2.2A.A.2A$760.3A4.A2.4A.4A.2A.A.3A2.A.A.2A3.
2A.2A2.A2.A2.A$761.A.3A2.A.3A2.2A.2A.A5.A.A3.A.2A3.2A.A2.A4.A4.A$758.
3A4.A7.A.2A2.4A3.2A2.2A3.2A2.2A2.3A3.A.3A$759.A.3A2.A.A.3A4.4A2.A3.4A
.4A2.3A.A2.A.2A.2A2.2A.A$756.3A4.A2.2A.A2.A3.A4.A2.A.A3.5A2.4A.A.A2.A
.2A3.4A$757.A.3A2.A.A.A3.2A2.A6.2A4.A.3A2.3A.A.A2.A4.3A3.A$754.3A4.A
2.2A2.A.2A5.6A2.A.2A2.2A6.A.3A2.A2.A3.A.A$755.A.3A2.A.A4.A3.A.2A.A3.
4A.5A5.A.A4.2A.3A2.3A$752.3A4.A2.2A8.3A2.A5.A3.A3.A.A.A2.A.2A.A2.A.2A
$753.A.3A2.A.A10.3A2.2A3.5A2.A.A2.2A2.A2.2A.A3.A.A$750.3A4.A2.2A11.4A
.2A.3A2.A2.A3.5A4.2A.A.5A$751.A.3A2.A.A11.2A.A2.2A2.2A.A.2A.3A.2A.2A.
3A2.3A2.A$748.3A4.A2.2A11.A7.A.A2.2A2.3A.A2.2A.4A.A.A.3A$749.A.3A2.A.
A12.A.2A4.A.2A2.A.A.2A2.2A3.A.A.A.A$746.3A4.A2.2A14.2A4.A.A2.2A.3A2.
2A.2A4.2A.2A3.A$747.A.3A2.A.A16.2A.A.7A2.A.A.2A2.2A.A.A.A2.A.A.A$744.
3A4.A2.2A19.4A.A3.3A.A.4A.3A.6A.A3.3A$745.A.3A2.A.A20.A.5A.A.2A2.3A.
4A.A.A4.A.7A$742.3A4.A2.2A22.A2.A.A.3A.3A.2A.A3.A.A.A.A.A.2A.2A$743.A
.3A2.A.A22.4A.A.A3.A.3A.A2.4A3.A.A.2A2.2A2.A$740.3A4.A2.2A23.A2.A2.2A
5.A3.5A.A2.A.2A.A2.3A2.A$741.A.3A2.A.A26.A2.2A.A.2A.A.2A2.A3.2A2.2A.
3A2.2A.A$738.3A4.A2.2A26.A2.2A2.A.2A.2A2.3A2.3A3.4A.4A$739.A.3A2.A.A
26.4A.A.A.A.4A.A2.4A3.3A.A2.2A4.A$736.3A4.A2.2A26.3A.A.2A.A2.A2.A6.A
3.A.2A.3A.A3.A$737.A.3A2.A.A27.2A.A.6A.3A.A3.A.3A.A6.A.2A.A$734.3A4.A
2.2A29.5A2.A.2A.A.A4.A2.3A.A2.A2.A2.5A$735.A.3A2.A.A32.4A.3A.2A2.4A3.
3A4.3A2.2A.3A$732.3A4.A2.2A29.5A3.2A.A.A3.4A4.2A.5A3.3A.A$733.A.3A2.A
.A30.A3.A3.2A5.A.A.3A2.2A2.2A.A2.A.2A3.A$730.3A4.A2.2A32.A.2A.A4.A2.A
2.3A2.4A3.A3.A.A.A.3A$731.A.3A2.A.A33.5A2.3A4.4A.A.2A.4A2.A.2A.A3.2A$
728.3A4.A2.2A33.A.A.A5.A2.A.2A.3A.2A.A7.A3.A.A$729.A.3A2.A.A34.2A.A2.
A.2A3.A.A3.A5.2A.A.A4.4A$726.3A4.A2.2A36.A5.5A2.2A.2A5.2A.3A6.A3.A$
727.A.3A2.A.A41.2A4.A3.2A.A2.3A7.2A2.A.A.2A$724.3A4.A2.2A39.4A5.4A.A.
2A2.A3.5A2.A2.A.A$725.A.3A2.A.A43.A.A3.4A2.A.A.A.2A.A4.3A.A3.A$722.3A
4.A2.2A51.2A.A4.2A.A.A.A2.A2.2A.2A.A$723.A.3A2.A.A45.3A.2A.2A.A.A2.3A
2.A.2A3.A4.2A2.A$720.3A4.A2.2A49.A.A.A.3A2.3A.A2.2A.4A.A2.2A2.A$721.A
.3A2.A.A53.2A.2A.2A.6A3.A.A.A.2A.3A$718.3A4.A2.2A53.A2.2A.A2.A3.2A2.
5A3.4A$719.A.3A2.A.A57.2A.A2.A2.3A.A.3A2.A3.2A$716.3A4.A2.2A59.A3.A2.
A.A.3A3.A.A$717.A.3A2.A.A60.A.A2.3A.A3.A.A2.2A.A$714.3A4.A2.2A$715.A.
3A2.A.A$712.3A4.A2.2A$713.A.3A2.A.A$710.3A4.A2.2A$711.A.3A2.A.A$708.
3A4.A2.2A$709.A.3A2.A.A$706.3A4.A2.2A$707.A.3A2.A.A$704.3A4.A2.2A$
705.A.3A2.A.A$702.3A4.A2.2A$703.A.3A2.A.A$700.3A4.A2.2A$701.A.3A2.A.A
$698.3A4.A2.2A$699.A.3A2.A.A$696.3A4.A2.2A$697.A.3A2.A.A$694.3A4.A2.
2A$695.A.3A2.A.A$692.3A4.A2.2A$693.A.3A2.A.A$690.3A4.A2.2A$691.A.3A2.
A.A$688.3A4.A2.2A$689.A.3A2.A.A$686.3A4.A2.2A$687.A.3A2.A.A$684.3A4.A
2.2A$685.A.3A2.A.A$682.3A4.A2.2A$683.A.3A2.A.A$680.3A4.A2.2A$681.A.3A
2.A.A$678.3A4.A2.2A$679.A.3A2.A.A$676.3A4.A2.2A$677.A.3A2.A.A$674.3A
4.A2.2A$675.A.3A2.A.A$672.3A4.A2.2A$673.A.3A2.A.A$670.3A4.A2.2A$671.A
.3A2.A.A$668.3A4.A2.2A$669.A.3A2.A.A$666.3A4.A2.2A$667.A.3A2.A.A$664.
3A4.A2.2A$665.A.3A2.A.A$662.3A4.A2.2A$663.A.3A2.A.A$660.3A4.A2.2A$
661.A.3A2.A.A$658.3A4.A2.2A$659.A.3A2.A.A$656.3A4.A2.2A$657.A.3A2.A.A
$654.3A4.A2.2A$655.A.3A2.A.A$652.3A4.A2.2A$653.A.3A2.A.A$650.3A4.A2.
2A$651.A.3A2.A.A$648.3A4.A2.2A$649.A.3A2.A.A$53.2A3.2A2.4A580.3A4.A2.
2A$52.A2.A.A2.2A4.A580.A.3A2.A.A$51.A4.A.A8.A576.3A4.A2.2A$31.2A2.2A
12.2A.A3.A5.A5.A6.2A568.A.3A2.A.A$28.3A2.5A6.A.2A6.3A.4A.A5.A6.2A564.
3A4.A2.2A$29.3A.6A3.A.4A.3A.A.A3.A3.A6.A2.A.2A.A564.A.3A2.A.A$29.A.A
2.A3.2A.A.2A4.A2.AH2A2.A3.A8.2A2.2A2.A560.3A4.A2.2A$27.A2.A.A.3A.A3.A
.A3.A4.A3.3A2.A11.A.4A561.A.3A2.A.A$26.A5.A6.2A.2A2.A.2A5.2A2.4A.2A
10.2A.A558.3A4.A2.2A$26.A.4A.2A2.A2.2A4.A3.3A2.A2.A.2A.2A.A2.A2.A2.3A
561.A.3A2.A.A$27.A4.A.2A.A.3A2.2A.A.A2.2A.A2.4A3.3A2.2A.2A2.2A557.3A
4.A2.2A$29.A.A2.2A.4A.A.4A4.A.3A.A3.A.A.A3.A2.A.2A3.A556.A.3A2.A.A$
28.2A2.A2.A.4A2.A2.A.4A.A3.4A2.A3.A.7A.A3.A552.3A4.A2.2A$27.A2.A2.A.
2A3.2A.2A3.A5.2A4.A.A4.2A.4A3.A4.A552.A.3A2.A.A$29.4A3.2A2.A.3A.2A.2A
.A4.3A5.A3.A.2A3.A5.A549.3A4.A2.2A$25.A2.4A.4A5.A4.4A.A.2A.A.2A2.A.A
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3A2.A.A$161.3A3.A2.2A$160.A2.3A2.A.A$159.3A3.A2.2A$158.A2.3A2.A.A$
157.3A3.A2.2A$156.A2.3A2.A.A$155.3A3.A2.2A$154.A2.3A2.A.A$153.3A3.A2.
2A$152.A2.3A2.A.A$151.3A3.A2.2A$150.A2.3A2.A.A$149.3A3.A2.2A$148.A2.
3A2.A.A$147.3A3.A2.2A$146.A2.3A2.A.A$145.3A3.A2.2A$144.A2.3A2.A.A$
143.3A3.A2.2A$142.A2.3A2.A.A$141.3A3.A2.2A$140.A2.3A2.A.A$139.3A3.A2.
2A$138.A2.3A2.A.A$137.3A3.A2.2A$136.A2.3A2.A.A$135.3A3.A2.2A$134.A2.
3A2.A.A$133.3A3.A2.2A$132.A2.3A2.A.A$131.3A3.A2.2A$130.A2.3A2.A.A$
129.3A3.A2.2A$128.A2.3A2.A.A$127.3A3.A2.2A$126.A2.3A2.A.A$125.3A3.A2.
2A$124.A2.3A2.A.A$123.3A3.A2.2A$122.A2.3A2.A.A$121.3A3.A2.2A$120.A2.
3A2.A.A$119.3A3.A2.2A$118.A2.3A2.A.A$117.3A3.A2.2A$116.A2.3A2.A.A$
115.3A3.A2.2A$114.A2.3A2.A.A$113.3A3.A2.2A$112.A2.3A2.A.A$111.3A3.A2.
2A$110.A2.3A2.A.A$109.3A3.A2.2A$108.A2.3A2.A.A$107.3A3.A2.2A$106.A2.
3A2.A.A$105.3A3.A2.2A$104.A2.3A2.A.A$103.3A3.A2.2A$102.A2.3A2.A.A$
101.3A3.A2.2A$100.A2.3A2.A.A$99.3A3.A2.2A$98.A2.3A2.A.A$97.3A3.A2.2A$
96.A2.3A2.A.A$95.3A3.A2.2A$94.A2.3A2.A.A$93.3A3.A2.2A$92.A2.3A2.A.A$
91.3A3.A2.2A$90.A2.3A2.A.A$89.3A3.A2.2A$88.A2.3A2.A.A$87.3A3.A2.2A$
86.A2.3A2.A.A$85.3A3.A2.2A$84.A2.3A2.A.A$83.3A3.A2.2A$82.A2.3A2.A.A$
81.3A3.A2.2A$80.A2.3A2.A.A$79.3A3.A2.2A$78.A2.3A2.A.A$77.3A3.A2.2A$
76.A2.3A2.A.A$75.3A3.A2.2A$74.A2.3A2.A.A$73.3A3.A2.2A$72.A2.3A2.A.A$
71.3A3.A2.2A$70.A2.3A2.A.A$69.3A3.A2.2A$68.A2.3A2.A.A$67.5A.A2.2A$67.
3A2.A.A.A$68.A.3A.2A$68.A2.2A.A$67.3A.3A$67.AIA.2A$68.2A!

[fluffykitty]

Yeah, that happens with reversible Turmites.

[gameoflifemaniac]

New oblique puffer!

Code: Select all

x = 2, y = 2, rule = Langtons-Ant
2I$AG!

Can someone figore out the speed? It probably is (3,5)c/102.
EDIT:
Adjustible period oscillator:

Code: Select all

x = 7, y = 1, rule = Langtons-Ant
2B9A!

[Rhombic]

A variant of that oscillator idea gives a new family of adjustable period oscillators:

Code: Select all

x = 30, y = 2, rule = Langtons-Ant
2B20A.3A$26.4A!

[KittyTac]

Imagine if Langton's ant would be proven universal.

[gameoflifemaniac]

Oscillator collection:

Code: Select all

x = 1102, y = 59, rule = Langtons-Ant
A.A4.3A4.A.3A4.3A.3A4.3A.A.A4.3A.3A4.3A.3A4.3A.3A4.A.A.3A4.A.A.A.A4.A
.A.3A4.3A.3A4.3A.3A4.3A.A.A4.3A.3A4.3A.3A4.3A.3A4.3A.3A4.3A.3A4.A.3A.
3A4.A.A.3A4.A.A.3A4.A.3A.3A4.A.3A.A.A4.A.3A.3A4.A.A.A.3A4.A.3A.3A4.A.
3A.3A4.3A.3A.3A4.3A.3A.3A4.3A.A.A.3A4.3A.3A.3A4.3A.3A.3A4.3A.3A.A.A4.
3A.3A.3A4.3A.3A.3A4.3A.3A.3A4.A.A.3A.A.A4.A.A.3A.3A4.A.A.3A.3A4.A.A.
3A.3A4.A.A.3A.3A4.A.A.3A.A.A4.3A.3A.3A4.3A.A.A.3A7.3A.3A.3A6.3A.3A.A.
A8.3A.3A.3A6.A.A.3A.A.A10.A.A.3A.3A10.A.A.3A.A.A8.A.3A.A.A.3A11.A.3A.
3A.3A9.3A.3A.A.A.3A12.3A.3A.3A.3A11.3A.3A.3A.3A12.3A.3A.A.A.3A21.A.A.
3A.3A.3A40.A.3A.A.3A.3A64.A.A.A.A.A.3A82.3A.A.3A.3A.3A$A.A4.A.A4.A.A
8.A.A.A6.A.A.A6.A.A.A6.A3.A6.A.A6.A.A.A.A4.A.A.A.A4.A.A.A.A4.A3.A6.A
3.A.A4.A3.A.A4.A3.A.A6.A3.A6.A.A6.A.A.A.A4.A.A.A6.A.A.A.A.A4.A.A3.A4.
A.A.A6.A3.A.A.A4.A3.A.A.A4.A3.A.A6.A.A.A.A.A4.A.A3.A6.A3.A3.A6.A.A.A.
A.A6.A3.A.A.A6.A.A.A.A.A6.A.A5.A6.A.A3.A8.A.A.A.A.A6.A.A3.A.A6.A3.A.A
8.A.A.A.A.A4.A.A.A.A.A.A4.A.A3.A.A.A4.A.A3.A3.A4.A.A.A3.A6.A.A3.A.A6.
A.A.A.A.A.A4.A3.A.A.A.A4.A3.A.A.A.A7.A3.A3.A.A6.A.A3.A.A.A8.A.A3.A3.A
6.A.A.A.A.A.A10.A.A3.A.A.A10.A.A.A.A.A.A8.A3.A.A.A.A.A11.A.A.A.A5.A
11.A3.A.A.A.A.A14.A.A.A.A.A.A.A13.A.A3.A5.A14.A.A.A.A.A.A.A21.A.A3.A.
A5.A40.A.A.A.A3.A.A66.A.A.A.A.A3.A82.A3.A3.A3.A.A$3A4.3A4.A.3A4.3A.A.
A4.3A.3A4.3A.3A4.3A.3A4.3A.3A4.3A.A.A4.3A.3A4.3A.3A4.3A.3A4.3A.A.A4.
3A.3A4.3A.3A6.A.3A6.A.3A4.3A.3A4.3A.3A4.A.A.A.3A4.A.A.3A4.A.A.3A4.A.
3A.A.A4.A.3A.3A4.A.3A.3A4.A.3A.A.A4.A.3A.3A4.A3.A.3A4.3A.A.A.3A4.3A.
3A.A.A4.3A.3A.3A4.3A.3A.3A4.3A.3A.3A4.3A.3A.3A4.3A.3A.A.A4.3A3.A.3A4.
3A.3A.A.A4.3A.A.A.3A4.3A.3A.3A4.3A.3A.3A4.3A.3A.3A4.3A3.A.3A4.3A.3A.
3A4.3A.A.A.A.A4.3A.3A.3A7.3A.3A.3A6.3A.3A.3A8.3A3.A.3A6.A.A.A.A.3A10.
A.A.3A.3A10.A.A.3A.3A8.A3.A.3A.3A11.A.3A.3A.3A9.3A.3A.3A.A.A12.3A.3A.
A.A.3A11.3A.3A.3A.3A12.3A.3A.3A.3A21.3A.3A.3A.3A40.A.3A.A3.A.3A64.3A.
A.A.A.3A82.3A.A.3A.3A.3A$2.A4.A.A4.A.A.A4.A3.A.A4.A5.A4.A3.A.A6.A.A8.
A.A.A6.A.A.A6.A3.A6.A.A.A6.A.A.A4.A.A.A.A4.A.A3.A4.A.A.A.A6.A.A8.A.A.
A4.A.A.A.A6.A.A.A4.A.A.A.A.A4.A.A.A6.A.A.A.A4.A.A3.A.A4.A.A5.A4.A3.A.
A.A4.A3.A.A.A4.A3.A.A.A4.A3.A.A6.A3.A.A.A.A4.A3.A3.A.A4.A5.A.A.A4.A5.
A.A6.A5.A.A.A4.A3.A.A3.A6.A.A.A.A.A6.A3.A.A.A6.A.A.A.A.A6.A.A.A3.A6.A
.A3.A.A6.A3.A.A8.A3.A.A.A6.A3.A.A.A6.A.A.A3.A6.A.A.A.A.A6.A3.A.A.A7.A
.A.A.A.A.A6.A.A.A5.A8.A.A3.A.A8.A.A.A.A3.A10.A.A.A3.A.A10.A.A.A.A3.A
8.A3.A3.A.A.A11.A.A.A3.A.A11.A3.A5.A.A.A12.A3.A.A.A.A.A.A13.A3.A3.A.A
16.A3.A3.A.A.A23.A3.A3.A.A42.A3.A.A3.A.A.A66.A.A.A.A.A86.A.A3.A3.A.A.
A$2.A4.3A4.A.3A4.3A.3A4.3A3.A4.3A.3A4.3A.3A4.3A.3A6.A.3A6.A3.A6.A.3A
4.3A.3A4.3A.3A4.3A3.A4.3A.3A6.A.3A6.A.3A4.3A.3A4.3A.3A4.A.3A.3A4.A.A.
3A4.A.A.3A4.A.3A.3A4.A.3A3.A4.A.3A.3A4.A3.A.3A4.A.3A.3A4.A3.A.3A4.3A.
3A.3A4.3A.3A.3A4.3A3.A.3A4.3A.3A.3A4.3A.3A.3A4.3A.3A3.A4.3A.3A.3A4.3A
3.A.3A4.3A.3A.3A6.A.3A3.A6.A.3A.3A6.A.3A.3A6.A.3A.3A6.A3.A.3A6.A.3A3.
A4.3A.3A.3A4.3A3.A.3A7.3A.3A.3A6.3A.3A3.A8.3A3.A.3A6.A.A.3A3.A10.A.A.
3A.3A10.A.A.3A3.A8.A3.A3.A.3A11.A.3A.3A.3A9.3A.3A3.A.3A12.3A.3A.3A.3A
11.3A.3A.3A.3A12.3A.3A3.A.3A23.A.3A.3A.3A40.A.3A.A3.A.3A66.A.A.A.A.3A
82.3A.A.3A.3A.3A3$B$HA6.AF26.IG20.IE10.A21.CI$15.DB54.GI52.F9.I2.C40.
EA258.B$8.D17.AIC18.2D31.2A21.D54.D9.AFB8.GA95.AB13.A40.F2.B56.I44.2A
28.F$80.2B21.FA8.A32.A10.AD10.A21.H10.IC10.H9.AGE10.D2.B23.F11.AB23.A
CGA28.2A14.D25.BA43.C2.I44.A$114.ECA8.F20.CG55.A10.2A22.2A10.ACIA22.A
13.2E56.ABA26.B13.I45.B30.F13.F91.HA$36.B153.F24.F190.I4.C162.B37.F
12.A40.F6.H$8.B7.F19.F55.B171.H52.A43.ACI119.F13.A17.B11.B13.2CA12.A
39.D26.ACI$7.ABA6.D31.I9.2BA255.EC130.I2.E46.DB13.2A25.A14.2B33.F$26.
B20.AI20.CG22.B223.A181.A12.B15.H26.A$24.HA44.A9.AGCA30.ABH532.A.A
200.B$16.B111.B39.B481.DB63.D$15.AD107.A.F42.AD8.A431.F77.E4.I16.F55.
C21.ACG$37.F141.CG554.F4.F25.2A46.I4.I32.B$180.A209.BA374.C$25.AGI8.D
23.A$49.F8.DH10.A2.A18.BA22.B274.H$15.2A30.D23.EC18.AB21.F$15.CG$890.
E26.I2$25.AEC8.E$36.GA$92.2A86.D$69.2B2A18.F2.F85.A$180.A$180.B$24.B
2AB8.C$36.2A1026.E36.E$37.C$92.A$92.A$91.DB3$37.F$37.A$38.F6$36.A$37.
IG5$965.E44.I2$36.AECA!

I could not find any p12 oscillator. Are there any?

[wildmyron]

I could not find any p12 oscillator. Are there any?

p12:

Code: Select all

x = 4, y = 2, rule = Langtons-Ant
2AB$2.BA!

This small collection completes the divisible by 4 periods up to 100
p52, p80, p84, p92, p100

Code: Select all

x = 83, y = 7, rule = Langtons-Ant
2A2.2A18.3A16.2A15.A3.2A15.AE$2.2D20.2AEA13.3AB15.2A.I2.C13.A.A$2A2.
2A16.A3.C17.D36.G$22.2A16.2A$20.A.2A17.2A$20.3A$21.A!

And a small collection of oscillators with periods not divisible by 4.
p18, p22, p34, p50, p54, p58, p74, p90

Code: Select all

x = 144, y = 7, rule = Langtons-Ant
DF18.2D19.C19.A20.E17.B2AB16.2A.B16.DB$HB18.2B18.A21.A18.AG17.D2.D16.
2AHBA$41.AC18.2A18.A.A17.2A19.D$41.2GA16.D2.B17.2AE58.BD$60.A.B17.2A.
EA$60.4A16.A$61.A.F!

[gameoflifemaniac]

P2!

Code: Select all

x = 2, y = 2, rule = Langtons-Ant
BF$HD!

[thorsilver]

Imagine if Langton's ant would be proven universal.

Langton's Ant was proven universal back in 2000: http://www.dim.uchile.cl/~anmoreir/ofic ... on_dam.pdf

[kthxbye]

English not my native.

There exist another thread about LA, but I more appreciate this one. I have noticed some (maybe) interesting things, here they are:

1) If we place 2 ants with same direction and coordinats (x1,y1) and (x2,y2) on infinite grid (all cells one-colored), so they:

1.1) may meet in one cell and destroy each other;
1.2) create an oscillator;
1.3) at least one of them build highway.

If distance between two ants very long, they obviosly always build two non-crossing patterns and finally two highways. But there also exist some infinite, but bounded area, so if we define a=|x1-x2|, b=|y1-y2|, k,m - integers, k>=0, m>=0, there are:

a) finite number of (1.1) for some a=2k, b=2m;
b) infinite number of (1.2) for some a=2k, b=2m+1 (or a=2k+1, b=2m);
c) infinite number of (1.3) for any a=2k+1, b=2m+1 (and also for some a=2k, b=2m or a=2k, b=2m+1 or a=2k+1, b=2m).

Also if we define p1 as periodicity of (1.2) for a=2k, b=2m+1 (and p2 for a=2k+1, b=2m), n - natural, n>=2, so:

a) gcd(p1,2^n)>=4;
b) gcd(p2,2^n)=4;

2) Shortest way to build two different highways.

Code: Select all

x = 6, y = 2, rule = Langtons-Ant
E2.E$2.E2.E!

Also if we numerate a1(0,0), a2(2,1), a3(3,0), a4(5,1), so:

a) a3 build standard highway (2,2)c/104;
b) a1 and a4 build highway (3,5)c/102;
c) a2 decorates their work with (6,10)c/688.

3) Cherry on the cake - absolute oscillator (which about I was asking here).

Code: Select all

x = 218, y = 3, rule = Langtons-Ant
B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.
B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.
B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.
B2.B2.B2.B2$.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B
2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B
2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B2.B
2.B2.B2.B2.B2.B2.B2.B2.B!

Take any oscillator. Choose any generation (we need at least one). Clone it n times on infinite grid with two conditions: 1) each copy shifted by the same distance from previous (we need at least one way); 2) for any natural n those groups of copies is also oscillators with P_k(n) (polynomial) periodicity. If it satisfies given conditinions we may define it as absolute oscillator.

For LA we can redefine it as simple (or single) block of colony. Also:

a) it's periodicity 4(8n+3);
b) first triangle finised after ~6n steps, second after ~12n steps;
c) after 2(8n+3) ants repeat all what they do symmetrically in backward order;
d) each ant moves in area bounded by square with side n+5;
e) real area where it moves (equivalently number of cells in area bounded by square which ant visit at least once) equal 5(n+3);
f) whole colony moves in area bounded by rectangle with length 3(n+1) and width 2(n+2);
g) real area 3n(n+5)+2.

If we define T1(n,k) as number of white cells colored to black at the whole period by upper ant in k-th block of colony length n blocks (and T2(n,k) for lower ant), so:

a) T1(n,k)=T2(n,k)=0, n<k
b) T1(n,k)=4(5n+1), k=1 or k=n;
c) T1(n,k)=2(11n+1), 1<k<n;
d) T2(n,k)=4(3n+2), k=1 or k=n;
e) T2(n,k)=10(n+1), 1<k<n;
f) T1(n,k)+T2(n,k)=4(8n+3), n>=k.

If we define q(n,k) as number of black cells at k-th generation of colony length n blocks, q1(n,k)=q(n+1,k)-q(n,k), so:

a) q(n,k)=q(4(8n+3)±k);
b) q2(n,k)=q1(n+1,k)-q1(n,k)=0, 6n+9>=k;
c) q3(n,k)=q2(n+1,k+6)-q2(n,k)=0, 12n+4>=k;
d) q4(n,k)=q3(n+1,k+12)-q3(n,k)=0, 20n-4>=k;
e) q5(n,k)=q4(n+1,k+20)-q4(n,k)=0, 26n+15>=k;
f) sum(k=1..4(8n+3)) q1(n,k) = 8(77n+31);
g) sum(k=1..4(8n+3)) q(n,k) = 4(77n^2-3(5n-6)).

[kthxbye]

Small and not very interesting addenum.

Oscillators which produce and use still life for their working.

Code: Select all

x = 47, y = 58, rule = Langtons-Ant
B24.B50$B7$46.B!

Specific one (look at it with slow speed).

Code: Select all

x = 28, y = 5, rule = Langtons-Ant
B4$27.B!

[kthxbye]

Not completely absolute oscillator, but family of oscillators which has similar properties. Here you can see 7 basic blocks.

Code: Select all

x = 26, y = 15, rule = Langtons-Ant
25.H2$21.H2.F2$17.H2.F2$13.H2.F2$9.H2.F2$5.H2.F2$.H2.F2$F!

Each time when we add symmetrically 2n blocks, it always oscillates with p(n)=8(4n+21*floor(n/2)+53).

Code: Select all

x = 154, y = 79, rule = Langtons-Ant
153.H2$149.H2.F2$145.H2.F2$141.H2.F2$137.H2.F2$133.H2.F2$129.H2.F2$
125.H2.F2$121.H2.F2$117.H2.F2$113.H2.F2$109.H2.F2$105.H2.F2$101.H2.F
2$97.H2.F2$93.H2.F2$89.H2.F2$85.H2.F2$81.H2.F2$77.H2.F2$73.H2.F2$69.H
2.F2$65.H2.F2$61.H2.F2$57.H2.F2$53.H2.F2$49.H2.F2$45.H2.F2$41.H2.F2$
37.H2.F2$33.H2.F2$29.H2.F2$25.H2.F2$21.H2.F2$17.H2.F2$13.H2.F2$9.H2.F
2$5.H2.F2$.H2.F2$F!

For example, when n=0 we have only basic 7 blocks = 14 ants and p(n)=8*53=424. If n=16, we have 7+2*16 = 39 blocks = 78 ants and p(n)=2280.

[gameoflifemaniac]

Here's a stamp collection of all small oscillators discovered by me (p12 by wildmyron).

Code: Select all

x = 1666, y = 66, rule = Langtons-Ant
3A6.A.A6.3A6.A.3A6.A.3A6.A.A.A6.A.3A6.A.3A6.3A.3A6.3A.3A6.3A.A.A6.3A.
3A6.3A.3A6.3A.3A6.3A.3A6.3A.A.A6.3A.3A6.3A.3A6.A.A.3A6.A.A.A.A6.A.A.
3A6.3A.3A6.3A.3A6.3A.3A6.3A.A.A6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.
3A.3A6.3A.3A6.3A.3A6.3A.3A6.A.3A.3A6.A.3A.A.A6.A.3A.3A6.A.A.3A6.A.A.
3A6.A.3A.3A6.A.3A.A.A6.A.3A.3A6.A.3A.3A6.A.3A.3A6.A.A.A.3A6.A.3A.3A5.
A.3A.3A6.A.3A.3A6.A.3A.A.A6.A.3A.3A6.A.3A.3A5.A.3A.3A7.A.3A.3A6.3A.3A
.3A6.3A.3A.A.A6.3A.A.A.3A6.3A.3A.3A6.3A.3A.A.A6.3A.3A.3A6.3A.3A.A.A6.
3A.3A.3A6.3A.3A.A.A6.3A.A.A.3A6.3A.A.A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.
3A6.A.A.3A.A.A6.A.A.A.3A6.A.A.3A.3A6.A.A.3A.3A6.A.A.A.A.3A6.A.A.3A.A.
A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.A.3A16.3A.A.
3A15.3A.3A.3A11.3A.3A.3A9.3A.3A.3A6.3A.A.3A6.A.3A.3A.3A6.A.3A.3A.A.A
12.3A.3A.3A.A.A20.3A.A.A.A.3A16.3A.3A.3A.3A12.3A.3A.3A.3A15.3A.3A.3A.
3A14.3A.3A.A.A.3A17.A.A.A.A.A.3A20.A.A.3A.3A.3A25.3A.3A.3A.3A27.3A.3A
.3A.3A49.3A.3A.3A.3A$2.A6.A.A6.A.A6.A.A.A6.A3.A6.A.A.A6.A.A8.A.A.A8.A
.A.A8.A3.A8.A.A.A8.A.A10.A.A.A8.A.A.A8.A3.A8.A.A.A8.A.A10.A.A.A6.A.A.
A.A6.A.A.A.A6.A.A.A.A6.A5.A6.A3.A8.A3.A.A6.A3.A.A6.A3.A.A8.A3.A8.A.A
10.A.A.A6.A.A.A.A6.A.A.A.A6.A.A3.A6.A.A.A8.A.A.A.A6.A.A.A.A.A6.A.A.A.
A.A6.A.A.A.A.A6.A.A3.A6.A.A.A8.A3.A3.A6.A3.A.A.A6.A3.A.A.A6.A3.A3.A6.
A3.A.A8.A.A.A.A.A6.A.A5.A5.A.A3.A8.A.A3.A.A6.A.A3.A.A6.A3.A3.A6.A3.A.
A7.A.A.A3.A7.A.A.A.A10.A.A.A.A.A8.A3.A.A.A8.A.A.A.A.A8.A.A3.A.A8.A.A.
A.A.A8.A.A.A.A.A8.A.A.A.A.A8.A.A.A.A10.A.A.A.A.A8.A.A.A.A.A8.A.A.A.A.
A8.A.A3.A.A8.A.A.A3.A8.A.A.A.A8.A.A.A.A.A.A6.A.A.A.A8.A.A3.A3.A6.A.A
3.A.A8.A.A.A.A.A.A6.A.A.A.A.A.A6.A3.A3.A8.A3.A.A.A.A6.A5.A.A.A6.A3.A
3.A.A6.A3.A3.A.A8.A.A3.A18.A.A.A19.A.A.A3.A11.A.A.A3.A11.A.A3.A3.A6.A
.A.A.A8.A.A5.A.A.A6.A.A5.A.A.A14.A3.A.A3.A.A22.A.A.A.A3.A18.A.A.A.A.A
.A.A14.A3.A.A5.A17.A.A3.A5.A16.A.A.A.A.A.A.A17.A.A.A.A.A.A.A20.A.A3.A
.A5.A25.A3.A.A.A3.A.A27.A5.A3.A.A.A49.A.A.A3.A.A.A.A$3A6.3A6.3A6.A.A.
A6.A.3A6.A.3A6.A.3A6.A.3A6.3A.A.A6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.3A.A.A
6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.3A.A.A6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.3A.
A.A6.3A.3A6.3A.3A8.A.3A8.A.3A8.A.3A6.3A.A.A6.3A.3A6.3A.3A6.3A.3A6.3A.
3A6.A.A.A.A.A6.A.A.A.3A6.A.A.A.3A6.A.A.3A6.A.A.3A6.A.3A.3A6.A.3A.3A6.
A.3A.3A6.A.3A.3A6.A.3A.3A6.A.3A.3A6.A.3A.3A5.A.3A.3A6.A.3A.A.A6.A.3A.
3A6.A3.A.3A6.A3.A.3A5.A.3A.3A7.A.3A.3A6.3A.A.A.3A6.3A.3A.3A6.3A.3A.A.
A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.A.A.3A6.3A.3A
.A.A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.A.A.3A6.3A.A.3A6.3A.
3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.A.A6.3A.3A.A.A6.
3A.3A.A.A6.3A.3A.3A8.A.A.3A18.A.A.3A17.A.3A.3A11.3A.3A.3A9.3A3.A.3A6.
3A.A.3A6.A.3A.3A.A.A6.A.3A.3A.3A12.3A.3A.3A.3A20.3A.3A.A.3A16.3A.3A.A
.A.3A12.3A.3A.3A.3A15.3A.3A.3A.3A14.3A.3A.3A.3A17.3A.A.3A.A.A20.3A.3A
.3A.3A25.3A.3A.3A.3A27.3A.3A.3A.3A49.3A.3A.3A.3A$A10.A6.A.A6.A.A.A6.A
.A8.A3.A6.A.A.A6.A.A.A6.A3.A.A6.A3.A8.A5.A6.A3.A.A6.A3.A.A8.A.A.A8.A.
A10.A3.A8.A.A.A8.A.A.A8.A.A.A8.A3.A8.A.A.A8.A.A10.A.A.A6.A.A.A.A6.A.A
3.A6.A.A.A.A8.A.A10.A.A.A8.A.A.A6.A.A.A.A6.A.A.A.A8.A.A10.A.A.A8.A.A.
A6.A.A.A.A.A6.A.A.A3.A6.A.A.A.A.A6.A.A.A8.A.A.A.A6.A.A3.A8.A.A5.A6.A.
A3.A.A6.A3.A.A8.A3.A.A.A6.A3.A.A.A6.A3.A.A7.A3.A.A.A6.A.A.A.A.A6.A.A.
A3.A6.A3.A.A8.A3.A.A.A5.A3.A.A9.A3.A.A.A6.A3.A.A.A.A6.A3.A5.A6.A5.A.A
.A6.A3.A.A.A.A6.A3.A.A3.A6.A3.A.A.A.A6.A5.A3.A6.A5.A.A.A8.A.A.A3.A8.A
3.A.A.A8.A3.A.A.A8.A.A.A.A.A8.A3.A.A10.A3.A.A.A8.A.A.A3.A8.A.A.A.A8.A
3.A.A10.A3.A.A.A8.A3.A.A.A8.A.A.A3.A8.A3.A.A.A8.A.A.A.A.A6.A.A.A3.A.A
6.A.A.A.A.A.A6.A.A.A.A.A.A8.A.A.A20.A.A.A.A17.A3.A.A13.A.A3.A.A.A9.A.
A3.A.A10.A.A.A.A6.A3.A.A3.A.A6.A3.A.A5.A12.A5.A.A.A3.A20.A5.A.A.A18.A
3.A.A.A.A.A.A14.A3.A3.A.A19.A3.A3.A.A18.A3.A3.A.A.A19.A.A3.A.A.A22.A
3.A3.A.A29.A3.A.A.A.A.A27.A.A.A3.A3.A.A49.A.A.A.A.A.A.A.A$3A8.A6.3A6.
A.3A6.A.3A6.A3.A6.A.3A6.A.3A6.3A.3A6.3A.3A6.3A3.A6.3A.3A6.3A.3A6.3A.
3A6.3A.3A6.3A3.A6.3A.3A6.3A.3A8.A.3A8.A3.A8.A.3A6.3A.3A6.3A.3A6.3A.3A
6.3A3.A6.3A.3A8.A.3A8.A.3A8.A.3A6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.3A.3A6.
A.3A.3A6.A.3A3.A6.A.3A.3A6.A.A.3A6.A.A.3A6.A.3A.3A6.A.3A3.A6.A.3A.3A
6.A.3A.3A6.A.3A.3A6.A3.A.3A6.A.3A.3A5.A.3A.3A6.A.3A.3A6.A.3A3.A6.A3.A
.3A6.A3.A.3A5.A.3A.3A7.A.3A.3A6.3A.3A.3A6.3A.3A3.A6.3A3.A.3A6.3A.3A.
3A6.3A.3A3.A6.3A.3A.3A6.3A.3A3.A6.3A.3A.3A6.3A.3A3.A6.3A3.A.3A6.3A3.A
.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A8.A.3A3.A8.A.A.3A8.A.3A.3A8.A.3A.3A
8.A3.A.3A8.A.3A3.A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A6.3A.3A.3A
8.A.A.3A18.A.A.3A17.A.3A.3A11.3A.3A.3A9.3A3.A.3A6.3A.A.3A6.A.3A.3A.3A
6.A.3A.3A3.A12.3A.3A.3A3.A20.3A3.A.A.3A16.3A.3A.3A.3A12.3A.3A.3A.3A
15.3A.3A.3A.3A14.3A.3A3.A.3A19.A.A3.A.3A22.A.3A.3A.3A25.3A.3A.3A.3A
27.3A.3A.3A.3A49.3A.3A.3A.3A3$BF8.B8.AF8.B8.2AB$HD8.HA16.AD10.BA9.C9.
GI9.GC10.ADB63.C11.D11.A26.AD51.A485.F$19.D8.BA20.AE20.EI23.CE11.BD
11.EI11.2D11.AC11.H27.A10.ADA10.G13.FB24.DF11.G12.F10.H2.D64.FA24.A
10.G39.A31.A26.2D42.DH88.A110.A$28.D21.CA45.CE24.GC24.EA24.CE12.F10.A
BA13.G24.D63.A13.BA37.AD12.A11.D13.I9.A.2BA10.HB13.2D13.A25.AGE10.A2.
2D.A10.2G.A26.BF14.C14.A57.DF27.G14.A15.A.B30.D.A82.A34.A65.B16.B36.D
B162.F90.H$50.E98.E25.CE12.B11.BA38.FA25.C36.CG12.B13.H12.B24.B.A10.F
25.2B12.DF12.2D.A10.GE13.GE100.D13.ABDA13.A14.G12.HB12.AFDA13.E12.AB
14.H32.B18.F17.C47.DHA32.B49.A33.A34.2A81.H82.A91.B$19.B260.F51.HF11.
2F22.A.D153.A43.B27.GE29.A44.DA130.AFB17.A13.B52.2E149.A31.D$18.ABA
156.A154.F12.B24.A153.HB29.E56.I61.A30.A49.I.A14.C17.E16.A16.2F65.A
17.H16.B48.C49.E48.ADA50.F90.A$61.EG22.A52.F385.DF178.EC68.C14.I34.2F
34.D13.G71.D45.A16.D14.AC17.F47.D18.A40.2F$83.EG25.HB24.D25.2BA359.A
180.A85.G33.A35.AB12.E100.C15.GE17.F81.F16.GE40.2H44.A$98.A23.A92.ABD
10.AB11.B11.D39.A11.F484.C84.C116.A100.A82.DH20.D36.G15.D18.F$62.B35.
2B23.CE24.HBA37.FA38.B11.A12.AF37.B11.H77.FBA108.D381.I69.H230.FB19.B
A34.2A33.F118.A123.I$61.AD35.2D23.CE23.ADF38.B77.A14.B10.B12.A76.ADH
11.CE41.D53.DF12.AGEA547.AD173.E36.H116.B2.B85.2B$84.DA13.A25.A115.F
25.F10.A.F37.DF37.2E38.2A40.A27.BA26.F566.F190.D16.D120.A26.F57.2B$
86.F24.C155.B51.HB12.A22.A82.B28.AD948.B93.I$136.CA24.A2B167.IE37.A
81.HB130.2DA770.DA58.A126.A$110.G25.E78.2D153.HB80.ADF114.H15.A773.AD
184.B2.B$215.2A12.FA140.DF196.FH337.A537.B4.B$62.DA125.DFA36.AF141.A
198.F337.C2.E$62.HA20.BD168.2C35.AD13.2D363.AHB237.A384.DHA31.2H$84.B
D75.B78.D12.2E25.C11.FA11.2B366.DFA620.AFB30.2F$111.I25.B75.2A25.AH
39.I$109.G26.AB24.FA77.FA36.G39.F537.A.A798.C$213.GE27.B37.E37.AHA
146.D302.A.D84.CG800.G$61.EG126.A277.BD301.H886.I$61.IC20.B2AB102.CI
277.B1189.E2$111.A51.2B140.FA1286.H$110.DF25.B24.2D130.A1298.BD$136.A
157.D1299.F$85.F50.B51.A103.H12.D$84.ABA102.H$162.2A25.F$110.AECA49.H
B23.A2$136.A$136.H$85.BF$84.HD51.F2$188.B$189.H$189.F$190.D$136.2D$
137.2B3$188.AF3$189.D5$189.F$188.A2$189.D!

I will still work on it and continuously extend the collection.

[yujh]

HaHa!

Code: Select all

checking for oscillation...

P176376

Code: Select all

x = 72, y = 99, rule = Langtons-Ant
10.2A$2A6.2A2.2A6.2A4.8A2.2A4.2A$2A6.2A2.2A6.2A4.8A2.2A4.2A$2A6.2A2.
2A6.2A8.2A4.2A4.2A$2A6.2A2.2A6.2A8.2A4.2A4.2A$2A6.2A2.2A6.2A8.2A4.2A
4.2A$3A4.3A2.2A6.2A8.2A4.2A4.2A$.3A2.3A3.2A6.2A8.2A4.8A$2.6A4.2A6.2A
8.2A4.8A$3.4A5.2A6.2A8.2A4.2A4.2A$4.2A6.2A6.2A8.2A4.2A4.2A$4.2A6.2A6.
2A2.2A4.2A4.2A4.2A$4.2A6.3A4.3A2.3A2.3A4.2A4.2A$4.2A7.8A4.6A5.2A4.2A$
4.2A8.6A6.4A6.2A4.2A84$70.2E!

[Hunting]

This is less trivial:

Code: Select all

x = 68, y = 41, rule = Langtons-Ant
22.2A$21.A2.A$18.3A4.A26.4A$17.A8.A18.8A2.13A$16.A10.A17.A.3A.A.2A.A
5.A4.A$15.A12.A16.A2.A2.A.2A.4A.2A.4A$14.A14.A15.A.A.A.A4.3A.3A4.A$
13.A16.A14.A.3A.A.2A.2A.4A.4A$12.A18.A13.A.3A.A.2A.A5.A4.A$11.A20.A
12.23A$10.A22.A$9.A24.A$8.A26.A$7.A28.A$6.A30.A$5.A32.A$4.A34.A$3.A
36.C$2.A37.A$.A17.A2.A18.A$A18.A2.A18.A$A18.A2.A17.A$.A37.A$.E36.A$2.
A34.A$3.A32.A$4.A30.A$5.A28.A$6.A26.A$7.A24.A$8.A22.A$9.A20.A$10.A18.
A$11.A16.A$12.A14.A$13.A12.A$14.A10.A$15.A8.A$16.A4.3A$17.A2.A$18.2A!

[gameoflifemaniac]

Is there any p6 osc?

[LuxiusGOL]

This 2c/544 (or c/272) spaceship in a Turmite rule

Code: Select all

x = 8, y = 7, rule = Turmite_180121020081
3.2A$2A.DA$DA2.A$.4A.2A$6.2A$4.2A$4.2A!

[635318657]

Changing shapes with a diamond ring! (period 1008)

Code: Select all

x = 6, y = 2, rule = Langtons-Ant
.A3.G$A4.G!

An ant can go at c/10 instead of c around a diamond ring!

Code: Select all

x = 3, y = 3, rule = Langtons-Ant
A$2.G$2.G!

An ant can break free of a diamond ring and build a highway!

Code: Select all

x = 46, y = 88, rule = Langtons-Ant
3.A2.3A2.A3.3A5.A2.A.A3.A4.A4.A2.A$3.A2.2A3.4A2.A.2A.A3.3A.2A5.A4.A2.
A$2.A.2A.4A6.3A2.A3.5A5.2A3.A2.A$.3A.4A.A4.4A2.A3.3A2.A5.2A2.A3.A$15A
.A4.A3.3A.A6.2A.A4.A$5A2.2A6.2A3.A3.2A2.2A6.3A5.A$A5.A.A4.2A.A3.A2.2A
3.A6.A.A6.A$3.3A3.A2.A2.A3.A.4A3.2A5.3A6.A$.2A6.3A3.A3.5A3.A.A4.2A.A6.
A$A8.A4.A3.4A.A3.A.A.3A.A.A5.A$8.2A.4A3.2A.2A3.A.3A3.A.A6.A$6.2A.2A6.
2A.2A4.2A.A4.A.A5.A$26A3.A4.2A6.A$11A4.2A2.5A.A2.A5.A7.A$.A9.9A2.A.A3.
A4.A8.A$A9.A3.A.4A2.A.A3.A3.2A8.A$A7.2A3.A.A.2A2.A2.A3.A2.A.A8.A$.A4.
2A3.2A2.A.2A.2A.A4.A.A2.A7.A$.10A3.A2.3A3.A4.A.A.A7.A$7A7.5A4.A3.A.A2.
A7.A$7.3A3.2A.3A4.A3.2A2.A7.A$10.4A.A.2A3.A3.2A3.A6.A$9.2A2.3A.2A3.A.
3A4.A5.A$5.4A3.A.11A6.A4.A$.4A7.A.A8.A7.A3.A$A10.A.A8.2A6.A2.2A$11.A.
A7.A.A6.A.A$10.A2.A6.A3.A5.2A$10.A.A6.A4.A$9.A2.A5.A6.A9.4A$9.26A4.2A
$11.A3.2A9.A13.2A$10.A3.A12.A14.A$10.A2.A14.A12.2A$9.A.2A16.2A9.A$9.2A
20.A6.2A$9.A22.6A51$43.2E!

[Hunting]

An ant can go at c/10 instead of c around a diamond ring! (period 2108)

Code: Select all

x = 11, y = 9, rule = Langtons-Ant
A3$.A4$10.G$10.G!

Well, that's well known, and I'm pretty sure everyone had run into that at least ten times...

[FWKnightship]

This 2c/544 (or c/272) spaceship in a Turmite rule

Code: Select all

x = 8, y = 7, rule = Turmite_180121020081
3.2A$2A.DA$DA2.A$.4A.2A$6.2A$4.2A$4.2A!

Stable reflector,repeat time 1749:

Code: Select all

x = 21, y = 25, rule = Turmite_180121020081
19.2A$19.2A10$8.2A$8.AK$9.3A$11.A$10.I3$3.2A$2A.DA$DA2.A$.4A.2A$6.2A$
4.2A$4.2A!