## Chaotic spaceship

For discussion of other cellular automata.
Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

### Chaotic spaceship

Hi everyone, I was playing with a ruletable I made just for fun, when I found a really weird spaceship.
It has chaos (with fractal properties), it grows and it moves, leaving random still lifes behind.

Code: Select all

n_states:2
neighborhood:Moore
symmetries:none

var a1 = {0,1}
var a2 = {a1}
var a3 = {a1}
var a4 = {a1}
var a5 = {a1}
var a6 = {a1}
var a7 = {a1}
var a8 = {a1}

# 8 1 2
# 7 C 3
# 6 5 4

0,a1,a2,a3,1,1,1,a7,a8,1
0,a1,a2,1,1,a5,a6,a7,a8,1
0,a1,a2,a3,a4,a5,1,1,a8,1
1,a1,a2,1,a4,a5,a6,1,a8,1
1,a1,a2,1,a4,a5,a6,a7,a8,0
1,a1,a2,a3,a4,a5,a6,1,a8,0

And this is a small pattern producing the moving chaos:

Code: Select all

x = 6, y = 4, rule = movingchaos_1
3bo\$o2bo\$o2bobo\$o2bobo!
I know the ruletable is kinda useless, I just wanted to know if you have other examples of this kind of spaceship in other rules.

Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

### Re: Chaotic spaceship

These can by itself create Sierpiński triangle, from simple pattern being long line of on cells, for example

Code: Select all

x = 128, y =1, rule = Movingchaos_1
128o!
Smallest chaotic pattern I found consists of 3 cells

Code: Select all

x = 3, y = 5, rule = Movingchaos_1
2bo3\$o\$o!
This rule don't seems to show any sort of periodicity for all these patterns, maybe there will be some proof of it
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

### Re: Chaotic spaceship

I found also many non chaotic spaceships:

Code: Select all

x = 7, y = 5, rule = movingchaos_1
4bo\$2bobobo\$ob5o\$2bobo\$2b2o!

Code: Select all

x = 9, y = 13, rule = movingchaos_1
4bo\$2bobobo\$ob5o\$2bobo\$2b2obo\$3bobobo\$bob5o\$3bobo\$3b2obo\$4bobobo\$2bob
5o\$4bobo\$4b2o!
These are stabilized with two eptamino.

Code: Select all

x = 72, y = 10, rule = movingchaos_1
\$34bo30bo\$32bobobo26bobobo\$30bob5o26b5obo\$32bobo30bobo\$4bo27b2obo28bob
2o\$2bobobob3o22bobobob3o20bobobob3o\$ob5ob4o19bob5ob4o17bob5ob4o\$2bobob
3o24bobob3o22bobob3o\$3b2ob4o24b2ob4o22b2ob4o!

And this is a completely different spaceship, less common I think.

Code: Select all

x = 9, y = 5, rule = movingchaos_1
2b3o\$b5o\$2obob2o\$bobob4o\$2b2o!

skomick
Posts: 81
Joined: February 11th, 2011, 11:41 pm

### Re: Chaotic spaceship

Here's a little stretcher:

Code: Select all

x = 5, y = 3, rule = Movingchaos_1
b3o\$5o\$2bo!

edwardfanboy
Posts: 80
Joined: September 16th, 2011, 10:29 pm

### Re: Chaotic spaceship

I found a spaceship: A 6-long line of cells!

Code: Select all

x = 6, y = 1, rule = movingchaos_1
6o!

Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

### Re: Chaotic spaceship

Another predecessor for that spaceship is

Code: Select all

x = 4, y = 2, rule = movingchaos_1
o2bo\$4o!
And you can extend it by adding two "Dekamino" on its sides:

Code: Select all

x = 10, y = 4, rule = movingchaos_1
b3o2b3o\$4o2b4o\$3bo2bo\$3b4o!
Another simple spaceship

Code: Select all

x = 5, y = 3, rule = movingchaos_1
2bo\$obobo\$4o!
And some extensions

Code: Select all

x = 12, y = 5, rule = movingchaos_1
2bo6bo\$obobo2bobobo\$b4o2b4o\$5b2o\$5b2o!

Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

### Re: Chaotic spaceship

Every line of cells of length 2^n evolves into spaceship and some debris, like this one

Code: Select all

x = 1024, y = 1, rule = movingchaos_1
1024o!
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

### Re: Chaotic spaceship

Seems like there are three spaceships types (excluding the really common stretchers):
chaotical, stable and symmetric (showing Sierpiǹski patterns), stable and asymmetric.

Found out that two spaceship like this

Code: Select all

x = 5, y = 3, rule = movingchaos_1 2bo\$obobo\$b4o!
can share an edge:

Code: Select all

x = 10, y = 3, rule = movingchaos_1
2bo4bo\$obob2obobo\$b2o4b2o!
This can be used to extend other spaceships (on the X axis):

Code: Select all

x = 14, y = 4, rule = movingchaos_1
2bo8bo\$obo2bo2bo2bobo\$b2o2b4o2b2o\$3b2o4b2o!

A collection of various spaceships:

Code: Select all

x = 309, y = 51, rule = movingchaos_1
110bo\$108bobobo\$106bob5o37bo18bo\$108bobo37bobobo14bobobo\$108b2obo34bob
5o14b5obo\$109bobobo34bobo18bobo\$107bob5o19bo14b2obo16bob2o9b3o\$71b3o2b
3o30bobo19bobobob3o9bobobob3o8bobobob3o5b5o\$2bo6bo6bo7bo4bo7bo8bo23b4o
2b4o20bo8b2obo16bob5ob4o6bob5ob4o5bob5ob4o3b2obob2o\$obobo2bobobo2bobob
o3bobob2obobo3bobo2bo2bo2bobo11bo2bo9bo2bo21bobobo7bobobo16bobob3o11bo
bob3o10bobob3o7bobob4o\$4o4b4o2b4o5b2o4b2o5b2o2b4o2b2o12b4o9b4o19bob5o
5bob5o17b2ob4o11b2ob4o10b2ob4o7b2o\$12b2o24b2o4b2o52bobo9bobo\$98b2o10b
2o38\$181b128o!

Tropylium
Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

### Re: Chaotic spaceship

5-cell spaceship:

Code: Select all

x = 3, y = 3, rule = Movingchaos_1
o\$obo\$b2o!
Chaotic growth without a "growing stem":

Code: Select all

x = 6, y = 3, rule = Movingchaos_1
o\$o4bo\$5bo!
(The right side here displays signs of a regular spacefiller pattern)

Also, a line of 10 cells makes a puffer/trackstretcher.

Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

### Re: Chaotic spaceship

Two 5-cells ships make another puffer

Code: Select all

x = 8, y = 3, rule = Movingchaos_1
o6bo\$obo2bobo\$b2o2b2o!
Another spaceship with a related wickstretcher and a puffer:

Code: Select all

x = 66, y = 7, rule = Movingchaos_1
3bo5bo19bo5bo17bo5bo\$bobobobobobo15bobobobobobo13bobobobobobo\$ob3obob
3obo13bob3obob3obo11bob3obob3obo\$2b3obob3o17b3obob3o15b3obob3o\$b4obob
4o15b4obob4o13b4obob4o\$4bobobo21bobobo2b3o14bobobo2b4o\$4b5o21b5o2b4o
13b5o2b5o!
I'm looking forward for other regular signals in the chaos.

Tropylium
Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

### Re: Chaotic spaceship

A two-shoot collision can make a "wide" puffer:

Code: Select all

x = 27, y = 28, rule = Movingchaos_1
o20bo\$o19b7o25\$o\$o!
Also pictured: the 6-cell spaceship can also act as a puffer.

You may also note a small signal climbing the stem at c/3 (catching soon up with the regular 3c/11 "canopy"). A c/2 stem-climber is also possible — here's a reaction producing both:

Code: Select all

x = 7, y = 26, rule = Movingchaos_1
3bo\$bobobo\$ob3obo\$2b3o\$b5o\$2obob2o\$bobobo\$ob3obo\$2b3o\$b5o\$3bo\$2b3o\$3bo
\$2b3o\$3bo\$2b3o\$3bo\$2b3o\$3bo\$2b3o\$3bo\$3bo3\$3bo\$3bo!
—This collision produces, among other junk, a width-1 puffer component (there's probably a ship that can do this on its own):

Code: Select all

x = 1, y = 32, rule = Movingchaos_1
o\$o29\$o\$o!
And here's a wick-burning reaction I find very interesting:

Code: Select all

x = 6, y = 303, rule = Movingchaos_1
6o\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo
\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$
3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4b
o\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$
4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3b
o\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$
3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4b
o\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$
4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3b
o\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$
3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4b
o\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$
4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3b
o\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$
3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4b
o\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$
4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3bo\$4bo\$3b
o\$4bo\$3bo\$4bo\$3bo\$3bo!
You can see a Sierspinski pattern emerging at the top. The left side evolves into a chaotic but "still" pattern that drifts up and to the left (and is eventually somehow consumed by the main pattern even though this rule does not allow information to pass downwards); on the right, from about 500 gens on, there's a Sierspinski pattern that also drifts in this fashion, though interlaced with other patterns (it passes thru one corner of the central part seemingly unharmed).

I get the impression some of the areas of "chaos" may similarly consist of multiple overlapping Sierspinski patterns…

chineseman
Posts: 28
Joined: July 12th, 2012, 6:43 am

### Re: Chaotic spaceship

Hektor wrote:I found also many non chaotic spaceships:

Code: Select all

x = 7, y = 5, rule = movingchaos_1
4bo\$2bobobo\$ob5o\$2bobo\$2b2o!

Code: Select all

x = 9, y = 13, rule = movingchaos_1
4bo\$2bobobo\$ob5o\$2bobo\$2b2obo\$3bobobo\$bob5o\$3bobo\$3b2obo\$4bobobo\$2bob
5o\$4bobo\$4b2o!
These are stabilized with two eptamino.

Code: Select all

x = 72, y = 10, rule = movingchaos_1
\$34bo30bo\$32bobobo26bobobo\$30bob5o26b5obo\$32bobo30bobo\$4bo27b2obo28bob
2o\$2bobobob3o22bobobob3o20bobobob3o\$ob5ob4o19bob5ob4o17bob5ob4o\$2bobob
3o24bobob3o22bobob3o\$3b2ob4o24b2ob4o22b2ob4o!

And this is a completely different spaceship, less common I think.

Code: Select all

x = 9, y = 5, rule = movingchaos_1
2b3o\$b5o\$2obob2o\$bobob4o\$2b2o!
My ship:

Code: Select all

x = 10, y = 8, rule = movingchaos_1
4bo\$2bobobo\$ob5o\$2bobo\$2b2obo\$3bobob3o\$bob3ob2o\$3b4o!

chineseman
Posts: 28
Joined: July 12th, 2012, 6:43 am

### Re: Chaotic spaceship

Wojowu wrote:Every line of cells of length 2^n evolves into spaceship and some debris, like this one

Code: Select all

x = 1024, y = 1, rule = movingchaos_1
1024o!

Code: Select all

x = 134, y = 67, rule = movingchaos_1
65bo2bo\$63b3o2b3o\$61bobobo2bobobo\$59b3obobo2bobob3o\$57bobobob8obobobo\$
55b3obob3ob4ob3obob3o\$53bobobobobobobo2bobobobobobobo\$51b3obobobobobob
o2bobobobobobob3o\$49bobobob24obobobo\$47b3obob3ob20ob3obob3o\$45bobobobo
bobobob16obobobobobobobo\$43b3obobobobobob3ob12ob3obobobobobob3o\$41bobo
bob9obobobob8obobobob9obobobo\$39b3obob3ob5ob3obob3ob4ob3obob3ob5ob3obo
b3o\$37bobobobobobobobobobobobobobobo2bobobobobobobobobobobobobobobo\$
35b3obobobobobobobobobobobobobobo2bobobobobobobobobobobobobobob3o\$33bo
bobob56obobobo\$31b3obob3ob52ob3obob3o\$29bobobobobobobob48obobobobobobo
bo\$27b3obobobobobob3ob44ob3obobobobobob3o\$25bobobob9obobobob40obobobob
9obobobo\$23b3obob3ob5ob3obob3ob36ob3obob3ob5ob3obob3o\$21bobobobobobobo
bobobobobobobobob32obobobobobobobobobobobobobobobo\$19b3obobobobobobobo
bobobobobobob3ob28ob3obobobobobobobobobobobobobob3o\$17bobobob25obobobo
b24obobobob25obobobo\$15b3obob3ob21ob3obob3ob20ob3obob3ob21ob3obob3o\$
13bobobobobobobob17obobobobobobobob16obobobobobobobob17obobobobobobobo
\$11b3obobobobobob3ob13ob3obobobobobob3ob12ob3obobobobobob3ob13ob3obobo
bobobob3o\$9bobobob9obobobob9obobobob9obobobob8obobobob9obobobob9obobob
ob9obobobo\$7b3obob3ob5ob3obob3ob5ob3obob3ob5ob3obob3ob4ob3obob3ob5ob3o
bob3ob5ob3obob3ob5ob3obob3o\$5bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo2bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobo\$3b3obobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
b3o\$bobobob120obobobo\$2obob3ob116ob3obob2o\$3bobobobob112obobobobo\$5bob
ob3ob108ob3obobo\$6b2obobobob104obobobob2o\$8b2obob3ob100ob3obob2o\$11bob
obobob96obobobobo\$13bobob3ob92ob3obobo\$14b2obobobob88obobobob2o\$16b2ob
ob3ob84ob3obob2o\$19bobobobob80obobobobo\$21bobob3ob76ob3obobo\$22b2obobo
bob72obobobob2o\$24b2obob3ob68ob3obob2o\$27bobobobob64obobobobo\$29bobob
3ob60ob3obobo\$30b2obobobob56obobobob2o\$32b2obob3ob52ob3obob2o\$35bobobo
bob48obobobobo\$37bobob3ob44ob3obobo\$38b2obobobob40obobobob2o\$40b2obob
3ob36ob3obob2o\$43bobobobob32obobobobo\$45bobob3ob28ob3obobo\$46b2obobobo
b24obobobob2o\$48b2obob3ob20ob3obob2o\$51bobobobob16obobobobo\$53bobob3ob
12ob3obobo\$54b2obobobob8obobobob2o\$56b2obob3ob4ob3obob2o\$59bobobobo2bo
bobobo\$61bobobo2bobobo\$62b10o\$64b6o\$66b2o!