All directions and infinite speeds

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toroidalet
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Re: All directions and infinite speeds

Post by toroidalet »

Interesting tagalong:

Code: Select all

x = 15, y = 4, rule = All_Speeds
.ED$14.E2$E2.C8.E!
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praosylen
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Re: All directions and infinite speeds

Post by praosylen »

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!
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Ethanagor
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Re: All directions and infinite speeds

Post by Ethanagor »

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"
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wwei23

Re: All directions and infinite speeds

Post by wwei23 »

Breeder:

Code: Select all

x = 23, y = 4, rule = All_Speeds
2E$6.B6.2E$9.E9.B$22.E!
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wwei23

Re: All directions and infinite speeds

Post by wwei23 »

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!
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muzik
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Re: All directions and infinite speeds

Post by muzik »

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!
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wwei23

Re: All directions and infinite speeds

Post by wwei23 »

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.
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83bismuth38
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Re: All directions and infinite speeds

Post by 83bismuth38 »

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!
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
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83bismuth38
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Re: All directions and infinite speeds

Post by 83bismuth38 »

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!
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
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Saka
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Re: All directions and infinite speeds

Post by Saka »

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.
jarring cyan
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83bismuth38
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Re: All directions and infinite speeds

Post by 83bismuth38 »

oops... it's hard for me to tell for some reason.
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
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AforAmpere
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Re: All directions and infinite speeds

Post by AforAmpere »

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.
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.
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BlinkerSpawn
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Re: All directions and infinite speeds

Post by BlinkerSpawn »

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?
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AforAmpere
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Re: All directions and infinite speeds

Post by AforAmpere »

Yes, it does. I have a feeling there is some easy solution to this that I am just not seeing.
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.
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muzik
Posts: 6604
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Re: All directions and infinite speeds

Post by muzik »

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!
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muzik
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Re: All directions and infinite speeds

Post by muzik »

Decided to mess with this rule again.

Code: Select all

x = 72, y = 17, rule = All_Speeds
2.E2.E$E2.E3.E48.E$2.E.A.E61.E2.E$2.E3.E63.E$3.E66.E$3.E2$42.E2$44.E2$
58.E$43.E13.E$45.E11.E$45.E8.E$45.E7.E$46.E6.E!

Code: Select all

x = 17, y = 12, rule = All_Speeds
$5.E$3.E2$3.E2.D4.D3.E$.E.E3.A2.A2.AE$14.2E$13.2E!
Is it possible to create a gun that fires an infinite sequence of distinct spaceships?
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TYCF
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Location: England, United Kingdom,

Re: All directions and infinite speeds

Post by TYCF »

A strange pattern.

Code: Select all

x = 31, y = 17, rule = All_Speeds
25.E.AB$24.A2E3.E$21.E3.E$20.EA4.E$18.A2.E2.BE$15.E4.E5.E$14.EA5.E3.E
$12.A2.E2.B.E5.E$14.E6.E3.E$9.A5.E4.E5.E$6.EB6.E6.E3.E$5.AE8.E4.E5.E$
3.EB2.E6.E6.E3.E$2.AE11.E4.E5.E$4.E9.E6.E3.E$A14.E4.E5.E$14.E6.E3.E!

Code: Select all

#C I am inactive currently.
x = 5, y = 3, rule = B3/S23
obobo$2ob2o$obobo!

Code: Select all

x = 5, y = 4, rule = B35/S234i8
2bo$bobo$2ob2o$5o!
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Entity Valkyrie 2
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Re: All directions and infinite speeds

Post by Entity Valkyrie 2 »

Just wondering if there are any known rules with spaceships of all speeds (of all slopes) less than c, measured using bond Neumann metric (i.e. c orthogonal, c/2 diagonal, (2,1)/3 knightwise etc.)?
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