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All directions and infinite speeds

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Re: All directions and infinite speeds

Postby toroidalet » June 25th, 2017, 11:01 pm

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

Postby A for awesome » June 25th, 2017, 11:06 pm

Weird:
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!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: All directions and infinite speeds

Postby Ethanagor » June 28th, 2017, 7:24 pm

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.
@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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Re: All directions and infinite speeds

Postby wwei23 » June 30th, 2017, 5:13 pm

Breeder:
x = 23, y = 4, rule = All_Speeds
2E$6.B6.2E$9.E9.B$22.E!
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: All directions and infinite speeds

Postby wwei23 » June 30th, 2017, 5:25 pm

Smallest still lives:
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!
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: All directions and infinite speeds

Postby muzik » June 30th, 2017, 5:32 pm

You could almost make a caterpillar out of this:
x = 27, y = 12, rule = All_Speeds
12.E$26.E8$E$3.D$7.E!
2c/n spaceships project

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Re: All directions and infinite speeds

Postby wwei23 » July 4th, 2017, 1:33 pm

AforAmpere wrote:Or a 2c/3 orthogonal ship, the fastest orthogonal speed in this rule:
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.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: All directions and infinite speeds

Postby 83bismuth38 » July 9th, 2017, 2:56 pm

lol, this is why i like to click randomly:
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!
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.
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Re: All directions and infinite speeds

Postby 83bismuth38 » July 10th, 2017, 11:25 am

easy obique gun:
x = 9, y = 5, rule = All_Speeds
3.E$E.E.D$2.E5.E$5.E.E$7.E!
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

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Re: All directions and infinite speeds

Postby Saka » July 11th, 2017, 4:45 am

83bismuth38 wrote:easy obique gun:
x = 9, y = 5, rule = All_Speeds
3.E$E.E.D$2.E5.E$5.E.E$7.E!

It shoots diagonals.
Everyone, please stop posting B/S about CA
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: All directions and infinite speeds

Postby 83bismuth38 » July 11th, 2017, 2:16 pm

oops... it's hard for me to tell for some reason.
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.
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Re: All directions and infinite speeds

Postby AforAmpere » July 11th, 2017, 2:36 pm

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.
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
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Re: All directions and infinite speeds

Postby BlinkerSpawn » July 11th, 2017, 4:59 pm

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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Re: All directions and infinite speeds

Postby AforAmpere » July 11th, 2017, 5:28 pm

Yes, it does. I have a feeling there is some easy solution to this that I am just not seeing.
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
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Re: All directions and infinite speeds

Postby muzik » August 28th, 2017, 10:51 am

Gun produces cool wavy effect:

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:
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!
2c/n spaceships project

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