c/6 spaceship rule

For discussion of other cellular automata.
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drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

c/6 spaceship rule

Post by drc »

This is a rule I came up with:

Code: Select all

@RULE tq6
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,0,0,0,1,0,0,0,1
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,0,1,0,1,0,1,0,1
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

@COLORS

0 0 0 0
1 255 255 255
It has a p6 c/6 spaceship which is 4 cells in multiple phases:

Code: Select all

x = 1, y = 5, rule = tq6
o$o$o2$o!
It surprisingly occurs more commonly than the glider

It also has a p8 c/2 spaceship which is a minimum of 9 cells:

Code: Select all

x = 4, y = 5, rule = tq6
o$b3o$3bo$bobo$b2o!
Two of the c/2s can pull 2 dots:

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x = 12, y = 8, rule = tq6
b3o4b3o$o2bo4bo2bo$4bo2bo$2b3o2b3o$b3o4b3o3$3bo4bo!
It has oscillators too:

p2:

Code: Select all

x = 71, y = 12, rule = tq6
o4bo6bo3b2o9bo3bo6bo12b2o2b2o2b2o2b2o4b2o$o4b2o3b2o4bobo4b3o2bo4bo2bo
13bobo2bo2bobo2bobo2bobo$o4b2o5b2o3b3o4b2o2bo3b2o2b2o12bo5bo8bo2bo$6bo
4bo6bobo5bo6bo2bo11b3o8bo5bo2bo$19b2o10bo6bo8bo7bobo2bo5b2o$48bo6b2o2b
2o$45bo2bo$44bob2o$44bo$42b3o$41bo$41b2o!
p4:

Code: Select all

x = 23, y = 14, rule = tq6
o2bo9b6o$o2bo9b6o$o2bo7bo8bo$o2bo$9b2o10b2o$9b2o10b2o$9b2o10b2o$9b2o
10b2o$9b2o10b2o$9b2o10b2o2$11bo8bo$13b6o$13b6o!
p6:

Code: Select all

x = 19, y = 10, rule = tq6
bob2o7bo2bo$o4bo9bo$bo4bo8bo$2b2obo3b4o2bo2bo3$9bo2bo2b4o$12bo$12bo$
12bo2bo!
p7:

Code: Select all

x = 8, y = 5, rule = tq6
b2o2b2o$2bo2bo$o6bo$2bo2bo$b2o2b2o!
p10:

Code: Select all

x = 22, y = 14, rule = tq6
bo9bo6bo$9b2ob2o2b2ob2o$bo7bo2bo4bo2bo$3o5bo3bo4bo3bo$3o6b3o6b3o$9bo
10bo$o$o$o8bo10bo$9b3o6b3o$8bo3bo4bo3bo$9bo2bo4bo2bo$9b2ob2o2b2ob2o$
11bo6bo!
p24:

Code: Select all

x = 5, y = 5, rule = tq6
3o$2b3o$bobo$b3o$b2o!
And even a double dot puffer:

Code: Select all

x = 3, y = 12, rule = tq6
bo$2bo$2bo$3o5$3o$2bo$2bo$bo!
All of these were found naturally using A for Awesome's hacked apgsearch script using various symmetries.
User avatar
Saka
Posts: 3626
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

Re: c/6 spaceship rule

Post by Saka »

What are the transitions?
jarring cyan
User avatar
LaundryPizza03
Posts: 2647
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: c/6 spaceship rule

Post by LaundryPizza03 »

Saka wrote: December 19th, 2015, 9:30 pm What are the transitions?
B2i34e/S023-a4ce. I fired it up in apgsearch and found a new natural c/10 diagonal spaceship.

Code: Select all

x = 7, y = 7, rule = B2i34e/S023-a4ce
4bo$5bo$4b3o2$bobo2$2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
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