## All directions and infinite speeds

For discussion of other cellular automata.
toroidalet
Posts: 1276
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: All directions and infinite speeds

Interesting tagalong:

Code: Select all

``````x = 15, y = 4, rule = All_Speeds
.ED\$14.E2\$E2.C8.E!
``````
"But if you close your eyes—does it almost feel like nothing's changed at all?
And if you close your eyes—does it almost feel like you've been here before..."

A for awesome
Posts: 2367
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

### Re: All directions and infinite speeds

Weird:

Code: Select all

``````x = 27, y = 12, rule = All_Speeds
19.E\$5.E12.3E\$2.E3.E14.E\$3.E.E14.B\$3.2E\$2.E.A20.E\$3.2E4.B3.D3.E6.E.E\$
3.E12.E.E6.E\$.E2.ED5.A3.E\$E3.E10.E\$.E2.D2.D2.D3.E\$.E12.E!
``````
praosylen#5847 (Discord)

of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

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

### Re: All directions and infinite speeds

I threw together some simple icons for the first four states. The written direction is that in which the cell travels, while the arrow is the direction in which it pushes a cell of state 5. To use these, just paste the whole mess at the bottom of the rule.

Code: Select all

``````@ICONS

XPM
/* width height num_colors chars_per_pixel */
"31 155 2 1"
/* colors */
"A c #FFFFFF"
". c #0000FF"
/* icon for state 1 */
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAA.AAAA...AA...AA.....AAAAAA"
"AAAAA.AAAA.AAAA.AAAAAA.AAAAAAAA"
"AAAAA.AAAA..AAA..AAAAA.AAAAAAAA"
"AAAAA.AAAA.AAAA.AAAAAA.AAAAAAAA"
"AAAAA...AA...AA.AAAAAA.AAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAA.AAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAA...AAAAAAAAAAAAAAA"
"AAAAAAAAAAAA.....AAAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAA.........AAAAAAAAAAAA"
"AAAAAAAAA...........AAAAAAAAAAA"
"AAAAAAAA.............AAAAAAAAAA"
"AAAAAAA...............AAAAAAAAA"
"AAAAAA.................AAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAA.......AAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"

/* icon for state 2 */
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AA....AAA.AAA...AAA.AA.AA.....A"
"AA.AAA.AA.AA.AAAAAA.AA.AAAA.AAA"
"AA....AAA.AA.AA..AA....AAAA.AAA"
"AA.AAA.AA.AA.AAA.AA.AA.AAAA.AAA"
"AA.AAA.AA.AAA...AAA.AA.AAAA.AAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA.AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAA...AAAAAAAAAAAAAA"
"AAAAAAAAAAAAA.....AAAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAA.........AAAAAAAAAAA"
"AAAAAAAAAA...........AAAAAAAAAA"
"AAAAAAAAA.............AAAAAAAAA"
"AAAAAAAA...............AAAAAAAA"
"AAAAAAA.................AAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAA.......AAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"

/* icon for state 3 */
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAA.AAAA...AA...AA.....AAAAAA"
"AAAAA.AAAA.AAAA.AAAAAA.AAAAAAAA"
"AAAAA.AAAA..AAA..AAAAA.AAAAAAAA"
"AAAAA.AAAA.AAAA.AAAAAA.AAAAAAAA"
"AAAAA...AA...AA.AAAAAA.AAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAA..............AAAAAAAAA"
"AAAAAAAAA.............AAAAAAAAA"
"AAAAAAAAAA............AAAAAAAAA"
"AAAAAAAAAAA...........AAAAAAAAA"
"AAAAAAAAAAAA..........AAAAAAAAA"
"AAAAAAAAAAA...........AAAAAAAAA"
"AAAAAAAAAA............AAAAAAAAA"
"AAAAAAAAA.............AAAAAAAAA"
"AAAAAAAA..............AAAAAAAAA"
"AAAAAAA...............AAAAAAAAA"
"AAAAAA..........AA....AAAAAAAAA"
"AAAAAAA........AAAA...AAAAAAAAA"
"AAAAAAAA......AAAAAA..AAAAAAAAA"
"AAAAAAAAA....AAAAAAAA.AAAAAAAAA"
"AAAAAAAAAA..AAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
/* icon for state 4 */
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AA....AAA.AAA...AAA.AA.AA.....A"
"AA.AAA.AA.AA.AAAAAA.AA.AAAA.AAA"
"AA....AAA.AA.AA..AA....AAAA.AAA"
"AA.AAA.AA.AA.AAA.AA.AA.AAAA.AAA"
"AA.AAA.AA.AAA...AAA.AA.AAAA.AAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAA..............AAAAAAAAA"
"AAAAAAAAA.............AAAAAAAAA"
"AAAAAAAAAA............AAAAAAAAA"
"AAAAAAAAAAA...........AAAAAAAAA"
"AAAAAAAAAAAA..........AAAAAAAAA"
"AAAAAAAAAAA...........AAAAAAAAA"
"AAAAAAAAAA............AAAAAAAAA"
"AAAAAAAAA.............AAAAAAAAA"
"AAAAAAAA..............AAAAAAAAA"
"AAAAAAA...............AAAAAAAAA"
"AAAAAA..........AA....AAAAAAAAA"
"AAAAAAA........AAAA...AAAAAAAAA"
"AAAAAAAA......AAAAAA..AAAAAAAAA"
"AAAAAAAAA....AAAAAAAA.AAAAAAAAA"
"AAAAAAAAAA..AAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"

/* icon for state 5 */
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"

XPM
/* width height num_colors chars_per_pixel */
"15 75 2 1"
/* colors */
"A c #FFFFFF"
". c #000000"
/* icon for state 1 */
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAA.AAAAAAA"
"AAAAAA...AAAAAA"
"AAAAA.....AAAAA"
"AAAA.......AAAA"
"AAA.........AAA"
"AA...........AA"
"AAAAA.....AAAAA"
"AAAAA.....AAAAA"
"AAAAA.....AAAAA"
"AAAAA.....AAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
/* icon for state 2 */
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAA.AAAAAAA"
"AAAAAA...AAAAAA"
"AAAAA.....AAAAA"
"AAAA.......AAAA"
"AAA.........AAA"
"AA...........AA"
"AAAAA.....AAAAA"
"AAAAA.....AAAAA"
"AAAAA.....AAAAA"
"AAAAA.....AAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
/* icon for state 3 */
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAA.......AAA"
"AAAAAA......AAA"
"AAAAAA......AAA"
"AAAAA.......AAA"
"AAAA........AAA"
"AAA......A..AAA"
"AAAA....AAA.AAA"
"AAAAA..AAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
/* icon for state 4 */
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAA.......AAA"
"AAAAAA......AAA"
"AAAAAA......AAA"
"AAAAA.......AAA"
"AAAA........AAA"
"AAA......A..AAA"
"AAAA....AAA.AAA"
"AAAAA..AAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
/* icon for state 5 */
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
"AAAAAAAAAAAAAAA"
XPM
/* width height num_colors chars_per_pixel */
"7 35 2 1"
/* colors */
"A c #FFFFFF"
". c #000000"
/* icon for state 1 */
"AAAAAAA"
"AAA.AAA"
"AA...AA"
"A.....A"
"AAA.AAA"
"AAA.AAA"
"AAAAAAA"
/* icon for state 2 */
"AAAAAAA"
"AAA.AAA"
"AA...AA"
"A.....A"
"AAA.AAA"
"AAA.AAA"
"AAAAAAA"
/* icon for state 3 */
"AAAAAAA"
"AA....A"
"AAA...A"
"AA....A"
"A...A.A"
"AA.AAAA"
"AAAAAAA"
/* icon for state 4 */
"AAAAAAA"
"AA....A"
"AAA...A"
"AA....A"
"A...A.A"
"AA.AAAA"
"AAAAAAA"
/* icon for state 5 */
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"
"AAAAAAA"``````
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter

wwei23

### Re: All directions and infinite speeds

Breeder:

Code: Select all

``````x = 23, y = 4, rule = All_Speeds
2E\$6.B6.2E\$9.E9.B\$22.E!
``````

wwei23

### Re: All directions and infinite speeds

Smallest still lives:

Code: Select all

``````x = 13, y = 44, rule = All_Speeds
E10\$E\$.E9\$E.E\$.E9\$E.E7.E.E\$.E9.E\$2.E8.E8\$2.E7.E.E\$.E9.E\$2E9.E\$.E10.E!
``````

muzik
Posts: 4191
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: All directions and infinite speeds

You could almost make a caterpillar out of this:

Code: Select all

``````x = 27, y = 12, rule = All_Speeds
12.E\$26.E8\$E\$3.D\$7.E!
``````

wwei23

### Re: All directions and infinite speeds

AforAmpere wrote: Or a 2c/3 orthogonal ship, the fastest orthogonal speed in this rule:

Code: Select all

``````x = 6, y = 2, rule = All_Speeds
E.AB\$5.E!
``````
EDIT:
Accidentally put my comment in the quotes.
The "pusher cells" move at lightspeed, making c the fastest possible. Also, elusive left-travelers possible by this mech.

83bismuth38
Posts: 491
Joined: March 2nd, 2017, 4:23 pm
Location: the center of the universe
Contact:

### Re: All directions and infinite speeds

lol, this is why i like to click randomly:

Code: Select all

``````x = 25, y = 33, rule = All_Speeds
11.E\$10.E\$9.2E7.E.E\$19.E3.E\$19.E5\$11.E4.A2.E2\$4.E\$E2.E\$.E.E19.DE\$.E
10.E.C\$3.E7.E7.E\$9.E.E6.E\$6.E.E3.E.B2.2E\$8.E.A7\$11.E.AB\$17.E\$9.E\$8.E
10.E\$6.E.E\$8.E3.E2.G.E\$9.E.E4.E2.E\$11.E4.E!
``````

Code: Select all

``````x = 8, y = 10, rule = B3/S23
3b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!
``````
No football of any dui mauris said that.

83bismuth38
Posts: 491
Joined: March 2nd, 2017, 4:23 pm
Location: the center of the universe
Contact:

### Re: All directions and infinite speeds

easy obique gun:

Code: Select all

``````x = 9, y = 5, rule = All_Speeds
3.E\$E.E.D\$2.E5.E\$5.E.E\$7.E!``````

Code: Select all

``````x = 8, y = 10, rule = B3/S23
3b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!
``````
No football of any dui mauris said that.

Saka
Posts: 3623
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: All directions and infinite speeds

83bismuth38 wrote:easy obique gun:

Code: Select all

``````x = 9, y = 5, rule = All_Speeds
3.E\$E.E.D\$2.E5.E\$5.E.E\$7.E!``````
It shoots diagonals.
Currently taking a little break, but still hanging around on the Discord server.

83bismuth38
Posts: 491
Joined: March 2nd, 2017, 4:23 pm
Location: the center of the universe
Contact:

### Re: All directions and infinite speeds

oops... it's hard for me to tell for some reason.

Code: Select all

``````x = 8, y = 10, rule = B3/S23
3b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!
``````
No football of any dui mauris said that.

AforAmpere
Posts: 1251
Joined: July 1st, 2016, 3:58 pm

### Re: All directions and infinite speeds

Next thing to do here, find an isotropic rule with the same concept. I was working on it, and got infinite orthogonal and diagonal speeds, but only works for (1,n) slopes. I don't know how hard it will end up being, symmetry really makes it tougher.
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

Posts: 1981
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: All directions and infinite speeds

AforAmpere wrote:Next thing to do here, find an isotropic rule with the same concept. I was working on it, and got infinite orthogonal and diagonal speeds, but only works for (1,n) slopes. I don't know how hard it will end up being, symmetry really makes it tougher.
Just to clarify for people who want to try, "isotropic" means the same as "rotate4reflect", correct?
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

AforAmpere
Posts: 1251
Joined: July 1st, 2016, 3:58 pm

### Re: All directions and infinite speeds

Yes, it does. I have a feeling there is some easy solution to this that I am just not seeing.
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

muzik
Posts: 4191
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: All directions and infinite speeds

Gun produces cool wavy effect:

Code: Select all

``````x = 67, y = 13, rule = All_Speeds
27.E2.C35.E2\$25.E7.C30.E2\$23.E12.C25.E2\$21.E17.C20.E\$2.E\$E18.E18.C3.C
15.E\$.2E5.A2.A2.A2.AE\$E17.E37.E\$.2E3.ED2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D
2.D2.D2.D2.D2.D2.D2.E\$6.E49.E!
``````
Gun for a smaller ship:

Code: Select all

``````x = 26, y = 7, rule = All_Speeds
3.E14.E.C3.BG\$2.E22.E\$E.E13.E2.C4.E\$.E11.A.E5.2G\$.E2.E.E8.E6.E\$5.E7.A
2.A2.A.E\$5.E15.E!
``````