## A spaceship in Langtons Ant!?

For discussion of other cellular automata.
Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### A spaceship in Langtons Ant!?

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!
``````
Currently taking a little break, but still hanging around on the Discord server.

Tim Hutton
Posts: 64
Joined: May 20th, 2010, 7:30 am
Contact:

### Re: A spaceship in Langtons Ant!?

Cute!

Related: This turmite makes a period 68 glider:

Code: Select all

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

Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

### Re: A spaceship in Langtons Ant!?

Code: Select all

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

Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: A spaceship in Langtons Ant!?

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!!
Currently taking a little break, but still hanging around on the Discord server.

gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

### Re: A spaceship in Langtons Ant!?

Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter

Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: A spaceship in Langtons Ant!?

gmc_nxtman wrote:Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter
Thanks!

That was fast
Currently taking a little break, but still hanging around on the Discord server.

gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

### Re: A spaceship in Langtons Ant!?

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!
``````

Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

### Re: A spaceship in Langtons Ant!?

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.
Kiran Linsuain

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

### Re: A spaceship in Langtons Ant!?

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
``````
(side note: this

Code: Select all

``````x = 13, y = 3, rule = Langtons-Ant
8.2D\$8.2D\$A11.A!
``````
also works. Found by accident.)
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
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knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

### Re: A spaceship in Langtons Ant!?

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!
``````

Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: A spaceship in Langtons Ant!?

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
Currently taking a little break, but still hanging around on the Discord server.

Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

### Re: A spaceship in Langtons Ant!?

a. A gun
This is impossible because more ants cannot be generated.
Kiran Linsuain

dvgrn
Moderator
Posts: 7563
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: A spaceship in Langtons Ant!?

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.

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: A spaceship in Langtons Ant!?

What have I done:

Code: Select all

``````x = 5, y = 3, rule = Langtons-Ant
2B\$2B\$4.A!
``````
\100\97\110\105

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

### Re: A spaceship in Langtons Ant!?

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
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[[VIEWONLY]]
``````
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Bullet51
Posts: 567
Joined: July 21st, 2014, 4:35 am

### Re: A spaceship in Langtons Ant!?

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).
Still drifting.

gameoflifemaniac
Posts: 1224
Joined: January 22nd, 2017, 11:17 am
Location: There too

### Re: A spaceship in Langtons Ant!?

Here's a much better population plot:

Code: Select all

``````x = 552, y = 536, rule = Langtons-Ant
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3A3.3A3.3A3.3A3.3A3.3A\$309.A\$309.A!
``````
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

gameoflifemaniac
Posts: 1224
Joined: January 22nd, 2017, 11:17 am
Location: There too

### Re: A spaceship in Langtons Ant!?

Have I made a Langton's Wick?

Code: Select all

``````x = 32768, y = 1, rule = Langtons-Ant
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BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD!
``````
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: A spaceship in Langtons Ant!?

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!
``````
Currently taking a little break, but still hanging around on the Discord server.

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

### Re: A spaceship in Langtons Ant!?

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
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: A spaceship in Langtons Ant!?

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.
Currently taking a little break, but still hanging around on the Discord server.

Posts: 1979
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: A spaceship in Langtons Ant!?

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.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Ethanagor
Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

### Re: A spaceship in Langtons Ant!?

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.
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter

Posts: 1979
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: A spaceship in Langtons Ant!?

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!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Ethanagor
Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

### Re: A spaceship in Langtons Ant!?

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!
``````
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter