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A spaceship in Langtons Ant!?

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A spaceship in Langtons Ant!?

Posted: July 9th, 2015, 2:50 am
by Saka
I found a small spaceship in langtons ant that travels at 2c/12, it's simply a block of white ants, here is the rle, and by the way I don't know if this has been discovered:

Code: Select all

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

Re: A spaceship in Langtons Ant!?

Posted: July 9th, 2015, 7:16 pm
by Tim Hutton
Cute!

Related: This turmite makes a period 68 glider:

Code: Select all

{{{0,2,1},{0,8,0}},{{1,8,1},{1,4,0}}}

Re: A spaceship in Langtons Ant!?

Posted: July 9th, 2015, 7:47 pm
by Kiran

Code: Select all

x = 7, y = 2, rule = Langtons-Ant
2G4.A$2G!

Re: A spaceship in Langtons Ant!?

Posted: July 9th, 2015, 10:00 pm
by Saka
Tim Hutton wrote:Cute!

Related: This turmite makes a period 68 glider:

Code: Select all

{{{0,2,1},{0,8,0}},{{1,8,1},{1,4,0}}}
How do I use the turmite in golly? I use golly 2.6
Tim Hutton is alive? Nice!!

Re: A spaceship in Langtons Ant!?

Posted: July 9th, 2015, 10:01 pm
by gmc_nxtman
Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter

Re: A spaceship in Langtons Ant!?

Posted: July 9th, 2015, 10:04 pm
by Saka
gmc_nxtman wrote:Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter
Thanks!


That was fast

Re: A spaceship in Langtons Ant!?

Posted: July 14th, 2015, 10:42 pm
by gameoflifeboy
Colliding this with a triomino produces a C/12 spaceship:

Code: Select all

x = 13, y = 2, rule = Langtons-Ant
2B$2B8.3A!
And colliding that with another triomino produces the original spaceship, so you can create a shuttle:

Code: Select all

x = 38, y = 2, rule = Langtons-Ant
25.2B$3A22.2B8.3A!

Re: A spaceship in Langtons Ant!?

Posted: July 15th, 2015, 11:27 pm
by Kiran
so you can create a shuttle:
A simpler shuttle:

Code: Select all

x = 8, y = 2, rule = Langtons-Ant
3.2B$A2.2B2.A!
Can be extended if parity is not changed, works even if contracted enough for interaction with other reflector.

Re: A spaceship in Langtons Ant!?

Posted: July 16th, 2015, 1:52 am
by M. I. Wright
Faster recovery time:

Code: Select all

x = 16, y = 5, rule = Langtons-Ant
A$7.2B$7.2B2$15.A!
Two different reactions:

Code: Select all

x = 13, y = 2, rule = Langtons-Ant
A7.2B2.A$8.2B!
There's also this thing - the spaceship can "run over" a set of two black cells in the right phase:

Code: Select all

x = 27, y = 11, rule = Langtons-Ant
3.AF$2.2AD11.A$2.AB.A10.A$3.2AD4$A7.B17.A$7.ABA3.A$7.A.H3.A$9.D!
(side note: this

Code: Select all

x = 13, y = 3, rule = Langtons-Ant
8.2D$8.2D$A11.A!
also works. Found by accident.)

Re: A spaceship in Langtons Ant!?

Posted: July 18th, 2015, 11:44 pm
by knightlife
A diagonal line "runs over" a domino:

Code: Select all

x = 28, y = 11, rule = Langtons-Ant
2A8$13.2D$13.2D$5.A21.A!
Pattern recovers from stray dot collision sometimes:

Code: Select all

x = 42, y = 100, rule = Langtons-Ant
12.A8$8.2D$8.2D$A31.A47$A3$13.2D$13.2D$5.A19.A27$A8$13.2D$13.2D$5.A
35.A!
EDIT:
more complex recovery:

Code: Select all

x = 32, y = 15, rule = Langtons-Ant
18.2A$2A17.2A$4.2A$3.2A9$17.2D$17.2D$9.A21.A!

Re: A spaceship in Langtons Ant!?

Posted: July 19th, 2015, 6:59 am
by Saka
Ok! Let's find:
a. A gun
b. A diagonal spaceship
c. A 90-degree reflector
Here is the best I have for the 90-degree reflector:

Code: Select all

x = 11, y = 2, rule = Langtons-Ant
2G6.3A$2G6.2A!


Or just more really slow spaceships

Re: A spaceship in Langtons Ant!?

Posted: July 19th, 2015, 9:52 am
by Kiran
a. A gun
This is impossible because more ants cannot be generated.

Re: A spaceship in Langtons Ant!?

Posted: July 19th, 2015, 11:10 am
by dvgrn
Kiran wrote:
a. A gun
This is impossible because more ants cannot be generated.
Mind you, multiple ants is already a little bit strange -- the original 2D Turing Machine concept was exactly one spot of activity in an infinite area. Quite a bit of work has been done over the years with multiple TMs acting in parallel, but it wasn't the main point of Langton's Ant.

Multiple ants aren't really implemented correctly in the Golly rule, because of limitations in the rule-table format. Technically it would be necessary to define many new states for superpositions of two ants, and exponentially more states for superpositions of three ants. It wouldn't take very many overlapping ants to overflow Golly's 255-state limit.

Golly's current method of simulating Langton's Ant works perfectly as long as there is only one ant, or if two or more ants never end up on the same cell at the same time (e.g., if they start on different color squares). As soon as two ants try to step onto the same cell, though, they both die off.

It's certainly possible to invent a modified Golly-compatible Langton's Ant that does something else in the collision case, that might even allow for the possibility of a gun. For example, two ants stepping onto the same square might make a "nest" state, out of which several ants would appear on the next tick. Unfortunately there are a lot of arbitrary details to sort out -- which directions do the new ants travel? Will there be three or four of them?

It would probably be interesting to experiment with, but it probably shouldn't be called "Langton's-Ant" any more. Even the current rule shouldn't really be called "Langton's-Ant" for patterns where two or more ants collide, because it doesn't behave according to the original multi-ant specification.

Re: A spaceship in Langtons Ant!?

Posted: March 30th, 2017, 10:03 pm
by drc
What have I done:

Code: Select all

x = 5, y = 3, rule = Langtons-Ant
2B$2B$4.A!

Re: A spaceship in Langtons Ant!?

Posted: April 9th, 2017, 6:49 am
by Rhombic
This pattern has a very weird growth (I think it is x^1/2)

Code: Select all

x = 2, y = 6, rule = Langtons-Ant
D2$2A$2A2$B!
Pop:

Code: Select all

x = 537, y = 536, rule = Langtons-Ant
251.A3.A.A3.A.5A2.3A2.5A.A5.5A.4A$251.A3.A.2A2.A3.A5.A5.A3.A5.A5.A3.A
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29A$25.A239.2A34.18A11.8A$25.A239.2A34.18A11.8A$25.A239.2A34.18A11.8A
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4A$25.A224.16A5.A3.A7.19A28.3A.4A$25.A224.16A5.A3.A7.19A28.3A.4A$25.A
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14A8.2A6.17A$25.A147.A29.14A8.2A6.17A$25.A147.A29.14A8.2A6.17A$25.A
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20.2A2.3A$14.A10.A73.A24.10A6.2A7.13A$14.A10.A73.A24.10A6.2A7.13A$14.
A10.A73.A24.10A6.2A7.13A$14.A10.A73.A24.10A6.2A7.13A$8.7A10.A73.A24.
10A6.2A6.13A$25.A73.A24.10A6.2A6.13A$8.6A11.A73.A24.10A6.2A6.13A$14.A
10.A73.A24.10A6.21A$14.A10.A73.A24.10A7.8A$14.A10.A73.A24.10A7.8A$8.
6A11.A73.A24.10A7.8A$25.A73.A24.10A7.8A$9.2A14.A73.A24.10A7.3A.4A$8.A
2.A13.A73.A24.10A7.3A.4A$8.A2.A13.A73.A24.10A7.3A.4A$8.A2.A13.A73.3A
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4A$9.5A11.A73.3A4.A7.11A16.3A.4A$8.A5.A10.A73.3A4.A7.11A17.2A2.3A$8.A
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[[VIEWONLY]]

Re: A spaceship in Langtons Ant!?

Posted: April 9th, 2017, 8:17 am
by Bullet51
Rhombic wrote:This pattern has a very weird growth
Equivalent to this pattern in terms of population growth:

Code: Select all

x = 1, y = 2, rule = Langtons-Ant
B$B!
Definitely x^(1/2).

Re: A spaceship in Langtons Ant!?

Posted: April 9th, 2017, 1:11 pm
by gameoflifemaniac
Here's a much better population plot:

Code: Select all

x = 552, y = 536, rule = Langtons-Ant
257.A3.A.A3.A.5A2.3A2.5A.A5.5A.4A$257.A3.A.2A2.A3.A5.A5.A3.A5.A5.A3.A
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Re: A spaceship in Langtons Ant!?

Posted: April 9th, 2017, 1:16 pm
by gameoflifemaniac
Have I made a Langton's Wick?

Code: Select all

x = 32768, y = 1, rule = Langtons-Ant
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BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD!

Re: A spaceship in Langtons Ant!?

Posted: April 10th, 2017, 5:13 am
by Saka

Code: Select all

x = 46, y = 41, rule = Langtons-Ant
25.2A$24.A2.A$23.A4.F$22.A5.A$5.8A8.A7.A$5.3A4.A7.A9.A$5.2A.6A5.A11.A
$5.A3.2A.A5.A13.A$3.A2.A.3A2.A3.A15.A$2.A3.A.A5.A.A17.A$.A3.2A3.A4.A
19.A$A3.A.2A3.3A22.A$A4.A2.2A3.A23.A$.A3.A2.FA.3A24.A$2.A4.6A26.A$3.A
4.2A30.A$4.A2.2A32.A$5.3A34.A$6.A36.A$5.A38.A$5.A39.A$6.A38.A$7.A36.A
$8.A34.A$9.A32.A$10.A30.A$11.A28.A$12.A26.A$13.A24.A$14.A22.A$15.A20.
A$16.A18.A$17.A16.A$18.A14.A$19.A12.A$20.A10.A$21.A8.A$22.A6.A$23.A4.
A$24.A2.A$25.2A!

Re: A spaceship in Langtons Ant!?

Posted: April 10th, 2017, 9:19 am
by Rhombic
Saka wrote:

Code: Select all

x = 46, y = 41, rule = Langtons-Ant
25.2A$24.A2.A$23.A4.F$22.A5.A$5.8A8.A7.A$5.3A4.A7.A9.A$5.2A.6A5.A11.A
$5.A3.2A.A5.A13.A$3.A2.A.3A2.A3.A15.A$2.A3.A.A5.A.A17.A$.A3.2A3.A4.A
19.A$A3.A.2A3.3A22.A$A4.A2.2A3.A23.A$.A3.A2.FA.3A24.A$2.A4.6A26.A$3.A
4.2A30.A$4.A2.2A32.A$5.3A34.A$6.A36.A$5.A38.A$5.A39.A$6.A38.A$7.A36.A
$8.A34.A$9.A32.A$10.A30.A$11.A28.A$12.A26.A$13.A24.A$14.A22.A$15.A20.
A$16.A18.A$17.A16.A$18.A14.A$19.A12.A$20.A10.A$21.A8.A$22.A6.A$23.A4.
A$24.A2.A$25.2A!
Hahahahahaha no way!! period 4852 by the way

Re: A spaceship in Langtons Ant!?

Posted: April 10th, 2017, 9:52 am
by Saka
Rhombic wrote:
Saka wrote:

Code: Select all

x = 46, y = 41, rule = Langtons-Ant
25.2A$24.A2.A$23.A4.F$22.A5.A$5.8A8.A7.A$5.3A4.A7.A9.A$5.2A.6A5.A11.A
$5.A3.2A.A5.A13.A$3.A2.A.3A2.A3.A15.A$2.A3.A.A5.A.A17.A$.A3.2A3.A4.A
19.A$A3.A.2A3.3A22.A$A4.A2.2A3.A23.A$.A3.A2.FA.3A24.A$2.A4.6A26.A$3.A
4.2A30.A$4.A2.2A32.A$5.3A34.A$6.A36.A$5.A38.A$5.A39.A$6.A38.A$7.A36.A
$8.A34.A$9.A32.A$10.A30.A$11.A28.A$12.A26.A$13.A24.A$14.A22.A$15.A20.
A$16.A18.A$17.A16.A$18.A14.A$19.A12.A$20.A10.A$21.A8.A$22.A6.A$23.A4.
A$24.A2.A$25.2A!
Hahahahahaha no way!! period 4852 by the way
Pretty easy to make, just put one of those "diamond rings" close to a pattern made of still states.

Re: A spaceship in Langtons Ant!?

Posted: April 10th, 2017, 10:35 am
by BlinkerSpawn
Saka wrote:
Rhombic wrote:Hahahahahaha no way!! period 4852 by the way
Pretty easy to make, just put one of those "diamond rings" close to a pattern made of still states.
Only works with certain kinds of shapes though.

Re: A spaceship in Langtons Ant!?

Posted: April 17th, 2017, 10:34 am
by Ethanagor
putting two of the spaceships next to each other with a one block gap quickly evolves into two oscillators:

Code: Select all

x = 5, y = 2, rule = Langtons-Ant
2B.2B$2B.2B!
Edit: Here's a pattern which expands infinitely AND evolves to contain a high-period oscillator:

Code: Select all

x = 14, y = 14, rule = Langtons-Ant
5.4B$3.2B4.2B$2.A8.A$.E10.C$.E10.C$E12.C$E12.C$E12.C$E12.C$.E10.C$.E
10.C$2.A8.A$3.2D4.2D$5.4D!
Poor Langton. People have totally changed his invention.

Re: A spaceship in Langtons Ant!?

Posted: April 17th, 2017, 11:23 am
by BlinkerSpawn
Here's the p1060:

Code: Select all

x = 12, y = 12, rule = Langtons-Ant
4.A3.H$4.D2$G$10.EA3$AC$11.I2$7.B$3.F3.A!

Re: A spaceship in Langtons Ant!?

Posted: May 9th, 2017, 5:25 pm
by Ethanagor
If you place a single black cell any multiple of 3 blocks away from the spaceship's starting position, the spaceship gets reflected and still leaves the one cell in the same place:

Code: Select all

x = 11, y = 3, rule = Langtons-Ant
10.A$2B$2B!
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