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All directions and infinite speeds

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All directions and infinite speeds

Postby AforAmpere » June 23rd, 2017, 3:25 pm

Iv'e created a rule where every spaceship direction and almost every spaceship speed, under a limit, is possible. It is based off of Pteriforever's rule that had all orthogonal speeds, but now, it can go diagonal, and every other slope.
@RULE All_Speeds

@TABLE

n_states: 12
neighborhood:Moore
symmetries:none

var a={0,1,2,3,4,5,6,7,8,9,10,11}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}

0,0,0,0,1,5,0,0,0,5
0,0,0,0,2,5,0,0,0,5
0,0,0,0,0,1,5,0,0,2
0,0,0,0,0,5,0,2,0,5
0,0,0,0,0,5,2,0,0,5
0,0,0,0,5,2,0,0,0,1
0,0,0,0,5,0,0,2,0,6
0,0,0,0,6,0,0,0,0,1
0,0,0,0,0,0,6,0,0,5
0,0,0,0,3,0,5,0,0,5
0,0,0,0,0,0,3,5,0,4
0,0,0,0,0,4,5,0,0,5
0,0,0,0,0,0,5,7,0,5
0,0,0,0,5,7,0,0,0,2
0,0,0,0,0,5,7,0,0,7
0,0,0,0,0,0,5,7,0,5
0,0,0,0,3,0,2,0,0,8
0,0,0,8,0,0,0,0,0,3
0,0,0,0,0,0,0,8,0,2
0,0,0,0,1,0,4,0,0,9
0,0,0,9,0,0,0,0,0,1
0,0,0,0,0,0,0,9,0,4
0,0,0,3,0,0,0,2,0,0
0,0,0,0,1,4,0,0,0,1
0,0,0,0,0,1,4,0,0,4
0,0,0,1,0,0,0,4,0,0
0,0,0,0,1,0,2,0,0,10
0,0,0,10,0,0,0,0,0,1
0,0,0,0,0,0,0,10,0,2
0,0,0,1,0,0,0,2,0,0

0,0,0,0,3,2,0,0,0,3
0,0,0,0,0,3,2,0,0,2
0,0,0,0,7,0,0,0,0,3
0,0,0,0,0,5,0,4,0,7
0,0,0,0,5,7,0,3,0,2
0,0,0,0,5,0,0,4,0,7
0,0,0,0,0,5,0,7,0,7
0,0,0,9,0,0,0,5,0,1
0,0,0,0,5,7,7,0,0,2

0,0,0,0,1,0,5,0,0,5
0,0,0,0,0,0,1,5,0,2
0,0,0,5,1,5,0,0,0,5
0,0,0,0,5,5,0,0,0,5

0,0,0,0,1,2,0,0,0,1
0,0,0,0,0,1,2,0,0,2
0,0,0,0,3,2,5,0,0,3
0,0,0,0,1,2,5,0,0,1
0,0,0,0,10,0,5,0,0,5
0,0,0,10,0,0,0,5,0,1
0,0,0,0,9,0,5,0,0,5
0,0,0,9,0,0,0,5,0,1
0,0,0,0,4,0,1,5,0,2
0,0,0,0,2,0,1,5,0,2
0,0,0,0,4,1,2,0,0,2
0,0,0,0,7,0,0,2,0,8
0,0,0,0,7,0,0,5,0,3
0,0,0,0,3,4,0,0,0,3
0,0,0,0,0,3,4,0,0,4
0,0,0,0,4,3,2,0,0,2
0,0,0,0,9,0,2,0,0,10
0,0,0,9,0,0,0,2,0,0
0,0,0,0,4,0,0,10,0,2
0,0,0,0,3,0,4,0,0,11
0,0,0,3,0,0,0,4,0,0
0,0,0,11,0,0,0,0,0,3
0,0,0,0,0,0,0,11,0,4
0,0,0,0,11,0,2,0,0,8
0,0,0,0,4,0,0,8,0,2
0,0,0,11,0,0,0,2,0,0
0,0,0,0,5,0,0,9,0,7
0,0,0,0,7,0,0,8,0,2
0,0,0,5,0,5,0,2,0,6
0,0,0,0,5,0,2,0,0,6
0,0,0,6,6,2,0,0,0,1
0,0,0,8,0,0,0,5,0,3
0,0,0,0,8,0,5,0,0,5
0,0,0,0,2,0,3,5,0,4
0,0,0,0,2,3,4,0,0,4
0,0,0,0,8,0,4,0,0,11
0,0,0,8,0,0,0,4,0,0
0,0,0,0,2,0,0,11,0,4
0,0,0,0,2,1,4,0,0,4
0,0,0,5,5,0,0,0,0,1
0,0,0,0,0,0,5,5,0,4
0,0,0,0,2,1,2,0,0,2

0,a,b,1,c,d,e,f,g,1
0,a,b,c,d,e,f,2,g,2
0,a,b,3,c,d,e,f,g,3
0,a,b,c,d,e,f,4,g,4

1,a,b,c,d,e,f,g,h,0
2,0,0,0,5,0,0,0,0,2
2,0,0,7,5,0,0,2,0,2
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
7,0,0,0,0,5,0,0,0,7
4,a,b,c,d,e,f,g,h,0
5,0,0,1,0,0,0,0,0,0
5,0,0,2,0,0,0,0,0,0
5,0,0,0,0,0,0,0,2,0
5,0,0,0,0,0,0,2,0,0
5,0,0,0,0,0,0,0,6,0
5,0,5,3,0,0,0,0,0,0
5,0,0,4,0,0,0,0,0,0
5,7,0,0,0,0,0,0,0,0
5,0,5,0,0,0,0,0,0,0
5,0,5,1,0,0,0,0,0,0
5,0,0,5,0,0,0,0,0,0
5,0,0,2,0,0,0,5,0,0
5,5,1,5,0,0,0,0,0,0
5,1,0,0,0,0,5,5,5,0
5,5,1,5,0,5,0,0,0,0
5,5,0,5,0,5,0,0,0,0
5,5,0,5,0,5,0,1,0,0
5,0,1,0,0,0,5,0,5,0
5,0,5,1,0,0,2,0,0,0
5,0,5,3,0,0,5,0,0,0
5,7,5,0,5,0,0,0,7,0
5,7,0,0,0,0,5,0,2,0

6,a,b,c,d,e,f,g,h,0
7,0,0,0,5,0,0,0,0,7
7,0,0,0,0,5,0,7,0,7
7,0,0,7,5,0,0,0,3,7
7,a,b,c,d,e,f,g,h,0
8,a,b,c,d,e,f,g,h,0
9,a,b,c,d,e,f,g,h,0
10,a,b,c,d,e,f,g,h,0
11,a,b,c,d,e,f,g,h,0

@COLORS
1 255 0 0
2 255 255 0
3 0 0 255
4 0 255 255
5 255 255 255
6 0 0 0


This is done by shifting the stationary cells by diagonal and orthogonal-pushing cells, which are the red and yellow colored and the blue and cyan colored states, respectively. There are a bunch of auxiliary states, but you only need to use states 1-5. To make a speed at slope (m,n), where m is the larger number, put a state 5 cell, then put n state 4 cells, each right 3 and down 1 from the last (If you need an example, see below), then put (m-n) state 2 cells in the same pattern, and then another state 5.

A preliminary example is a 3c/10 (6c/20) ship:
x = 13, y = 5, rule = All_Speeds
E$3.B$6.B$9.B$12.E!


Or a 2c/3 orthogonal ship, the fastest orthogonal speed in this rule:
x = 6, y = 2, rule = All_Speeds
E.AB$5.E!


Diagonal works as well:

2c/11 diagonal:
x = 12, y = 4, rule = All_Speeds
E$3.D$6.D$11.E!


C/4 diagonal:
x = 6, y = 3, rule = All_Speeds
E$3.D$5.E!


2c/5 diagonal:
x = 7, y = 4, rule = All_Speeds
E.CD2$4.2GE$5.E!



Another example is a (4,2)c/16 knightship:
x = 10, y = 4, rule = All_Speeds
E$3.D$6.B$9.E!

The yellow cells push it N two spaces, and the diagonal ships push it two spaces diagonally NE.
Another example is this (10,2)c/34:
x = 19, y = 7, rule = All_Speeds
E$3.B$6.B$9.B$12.B$15.D$18.E!

You can also compress ships by experimenting around a bit, here is a (4,2)c/8 knightship, the fastest possible in this rule:
x = 6, y = 2, rule = All_Speeds
E.AD$5.E!

There are limits to how fast a ship can go by compressing the spaces for the pushers (the things that push the stable cells)
The limit speed for a given slope (m,n) , with largest number first, as (2m,2n)/(3m+2n), giving (4,2)c/8 for a knightship.

I have found some guns in this rule, but only for orthogonal and diagonal, I don't know if one exists for knightships:
x = 42, y = 11, rule = All_Speeds
3.E$2.E$E.E$.E$5.E$4.E22.E13.E$3.E.E4.E15.E.E$E3.E6.E15.E3.E$.E24.E3.
E4.E2.E$E3.2E3.E17.E2.E4.E$.E2.E5.E!


If you have any questions about how to make ships, I can show examples. It was easy to prove that the bounds on speed, and I am certain they are correct, but if you find a problem, please let me know. I worked on this for weeks, and I tried to make it work as well as possible.

P.S. Just for fun, here's a Waterbear speed (23,5)c/79:
x = 77, y = 25, rule = All_Speeds
E$3.D$6.D$9.D$12.D$15.D$18.B$21.B$24.B$27.B$30.B$33.B$36.B$39.B$42.B$
45.B$48.B$51.B$54.B$57.B$60.B$63.B$66.B$69.B$76.E!
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 Ethanagor » June 23rd, 2017, 4:25 pm

This rule is really interesting to mess around with!

a simple triplet emits a stream of red cells, and can be turned into different guns. Two most basic examples:
x = 21, y = 5, rule = All_Speeds
3.E11.E$2.E.D9.E3.D$E.E4.E4.E.E5.E$.EA2.AE6.E2.A2.E$.E4.E6.E5.E!


Additionally, here is a simple (puffer? wickstretcher? rake/puffer combo?):
x = 6, y = 3, rule = All_Speeds
.E$EA2.F$.E3.E!


The red stream can be converted into additional wicks:
x = 18, y = 4, rule = All_Speeds
.E$E6.E5.E$.E4.E5.EA2.F$7.E5.E3.E!


Another one, this time oblique:
x = 8, y = 4, rule = All_Speeds
$.ED$E4.B$.E5.E!


A gun that looks like a transverse wave:
x = 12, y = 4, rule = All_Speeds
E$E$11.E$11.E!


I love how such simple patterns can do a lot. Fantastic work!
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter
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Re: All directions and infinite speeds

Postby AforAmpere » June 23rd, 2017, 4:41 pm

Thanks Ethanagor, I'm glad that you like it. Challenge: Knightship gun! I haven't been able to find one yet, but I am not as experienced at finding guns as some people here. Also, have you figured out how to compress the ships?

Nice find with the diagonal gun, here it is cleaned up:
x = 11, y = 4, rule = All_Speeds
E.E$2.E7.E$7.E.E$9.E!


Quadratic growth:
x = 41, y = 58, rule = All_Speeds
17.E$16.E3.DA2.E$15.E$7.A8.E$15.E$14.E$13.E$14.E$13.E$12.E$11.E$12.E$
11.E$10.E$9.E$10.E$9.E$8.E$7.E25.E$8.E23.E3.DA2.E$7.E23.E$6.E18.A6.E$
5.E25.E$6.E23.E$5.E23.E$4.E8.A16.E$3.E25.E$4.E23.E$.A2E23.E$2.E25.E$.
E25.E$2.E23.E$2E23.E$E25.E$25.E$E23.E$23.E$24.E$23.E$22.E$21.E$22.E$
21.E$20.E$19.E$20.E$19.E$18.E$17.E$18.E$17.E$16.E$15.E$16.E$15.E$14.E
$13.E$14.E!
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)
AforAmpere
 
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Re: All directions and infinite speeds

Postby drc » June 23rd, 2017, 5:56 pm

Fun:
x = 104, y = 4, rule = All_Speeds
.E$2E101.E$102.E$101.2E!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y
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Re: All directions and infinite speeds

Postby A for awesome » June 23rd, 2017, 8:41 pm

P19 gun of some sort:
x = 18, y = 19, rule = All_Speeds
6.E$5.E9.E.E$3.E.E5.E4.E$E.E3.E9.E$2.E13.E10$2.E10.E$E.E$2.E$3.E.E4.E
2.E$5.E4.E!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: All directions and infinite speeds

Postby Saka » June 23rd, 2017, 8:49 pm

Orthogonal Transverse wave gun
x = 13, y = 6, rule = All_Speeds
E$2.E$.E5.E$2.E8.E$.E5.2E3.E$2.E4.E!
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 toroidalet » June 23rd, 2017, 8:58 pm

An adjustable relay:
x = 24, y = 5, rule = All_Speeds
22.E$E21.E$.E19.B$E21.2E$E21.E!

To increase the period by 2, move the left unit 1 cell away. Other state 2 cells can be added in the mix as well.
x = 24, y = 5, rule = All_Speeds
22.E$E21.E$.E10.B2.B5.B$E21.2E$E21.E!
It consists of a feedback loop where the leaving (state 2) signals block the incoming ones (state 1) from forming and then the state 1 cells that do make it bounce off a reflector and leave as state 2.
A predecessor to a more "chaotic" relay:
x = 18, y = 5, rule = All_Speeds
.B6.B8.E$.A$2E2.B3.B2.B3.B.E$E.A2.A2.A2.A2.A.E$16.E!

It consists of the normal relay but a 3rd stream of state 1 cells heads back and can block production of the state 2 signals
a predecessor to a double relay:
x = 16, y = 4, rule = All_Speeds
.E2$E14.E$E14.E!

*reads through new post* It looks like these have been used in the guns.
EDIT: fixed pattern
Last edited by toroidalet on June 24th, 2017, 7:33 pm, edited 1 time in total.
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Re: All directions and infinite speeds

Postby A for awesome » June 23rd, 2017, 8:59 pm

3 cells -> gun:
x = 5, y = 4, rule = All_Speeds
E2$4.E$4.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: All directions and infinite speeds

Postby AforAmpere » June 23rd, 2017, 9:05 pm

Guns that shoot various period diagonal ships, based on A for Awesome's gun:
x = 50, y = 5, rule = All_Speeds
3.E19.E21.E$E.E4.D12.E.E3.D15.E.E2.D$2.E6.E12.E5.E15.E4.E$6.E.E16.E.E
18.E.E$8.E18.E20.E!
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)
AforAmpere
 
Posts: 267
Joined: July 1st, 2016, 3:58 pm

Re: All directions and infinite speeds

Postby Saka » June 23rd, 2017, 9:15 pm

Rake of sorts!
x = 10, y = 5, rule = All_Speeds
3.E$5.D$9.E$ED$3.C3.E!

And um
x = 41, y = 9, rule = All_Speeds
40.E2$37.E2$16.E17.E$18.D$E21.E8.E$13.ED$3.E12.C3.E7.E!
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 AforAmpere » June 23rd, 2017, 9:21 pm

Yeah, I found that too, while I was testing the rule, it can be used to make a dot puffer:
x = 20, y = 10, rule = All_Speeds
8.E$11.D$6.E6.E$7.D$E6.C3.E$.D2$7.D5.E$16.D$13.D4.E!


And a rake:
x = 34, y = 34, rule = All_Speeds
22.E.C$26.2GE$20.E6.E$24.G$14.E3.C6.E$18.D2$24.D2.E.C$31.2GE$30.D.E2$
30.E2$28.E2$26.E2$24.E2$22.E2$20.E2$18.E2$16.E2$14.E2$5.E6.E$7.D$E4.C
4.E$3.D!


EDIT, what the heck is this?
x = 497, y = 161, rule = All_Speeds
479.E$197.E280.E$479.E$.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.
A2.A2.A2.A2.A2.A.2E$190.E286.E$4.A11.A459.E$189.2EB2.B4.B3.B2.B4.B3.B
2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B6.B4.B6.B4.B6.B4.B6.B4.B6.B
4.B6.B4.B6.B4.B6.B4.B6.B4.B6.E$187.E.E3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A
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2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2E$188.E286.E$474.E$187.
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2.A.2E$186.E286.E$472.E$185.2E4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
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2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A.2E$184.E286.E$470.E$183.2EB2.B4.B3.
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182.E286.E$468.E$181.2EB3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B
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6.B4.B6.B4.B6.B4.B2.E$179.E.E4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A
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3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A.2E$180.E286.E$466.E$179.2E4.B3.B
2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
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4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B6.B4.B6.B4.B6.B3.E$177.E
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4.A2.A3.A.2E$178.E286.E$464.E$177.2EB2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.
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B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B6.B4.B6.E$175.E.E3.A4.A2.A3.A4.A2.A3.A
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2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2E$176.E286.E$
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3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A.2E$174.E286.E$445.A11.A2.E$173.
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2.A3.A4.A2.A5.A4.A6.2E$172.E286.E$427.A11.A11.A6.E$171.2EB2.B4.B3.B2.
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169.E.E3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.
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B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B2.E$167.E.E4.A
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3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A5.A4.A6.A4.A6.A4.A6.A4.A2.2E$168.
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4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B
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3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B5.E$165.E.EA2.A3.A4.A2.A
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4.A2.A3.A4.A2.A5.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.2E$166.E286.E$373.A11.
A11.A11.A11.A11.A11.A6.E$165.2EB2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B
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4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B3.2B.E$163.E.E3.A4.A2.A3.A4.A2.A
3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A
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4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A3.2E$164.E286.E$355.A11.A11.A11.A
11.A11.A11.A11.A10.E$163.2EB3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.
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B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B2.E$161.E.E4.A2.A3.A4.A2.A3.A4.A2.A
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4.A6.A4.A6.A4.A6.A4.A6.A4.A2.2E$162.E286.E$337.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A2.E$161.2E4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B
2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
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4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B5.E$159.E.EA2.A3.A4.A2.A3.A4.A2.A3.A4.A
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6.A4.A6.A4.A6.A4.A6.2E$160.E286.E$319.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A6.E$159.2EB2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B
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4.B3.B2.B4.B3.B2.B4.B3.B2.B3.2B.E$157.E.E3.A4.A2.A3.A4.A2.A3.A4.A2.A
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6.A4.A6.A4.A6.A3.2E$158.E286.E$301.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A10.E$157.2EB3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B
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2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B2.E$155.E.E4.A2.A3.A4.A2.A3.A4.A2.A3.A
4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A3.A4.A2.A
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6.A4.A6.A4.A2.2E$156.E286.E$283.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
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4.B3.B2.B4.B3.B2.B4.B5.E$141.E.EA2.A3.A4.A2.A3.A4.A2.A5.A4.A6.A4.A6.A
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11.A11.A11.A11.A6.E$141.2EB2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
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2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B3.2B.E$139.E.E3.A4.A2.A5.A4.A6.A4.A6.A
4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A
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11.A11.A11.A11.A11.A11.A11.A10.E$139.2E4.B2.B4.B3.B2.B4.B3.B2.B4.B3.B
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4.A6.2E$136.E286.E$103.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
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2B.E$133.E.E5.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A
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6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A2.2E$132.E286.E$67.A11.A11.A11.A11.A11.
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3.B2.B4.B3.B2.B4.B3.B2.B4.B5.E$129.E.E2.A6.A4.A6.A4.A6.A4.A6.A4.A6.A
4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A
6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.2E$130.E286.E$49.A11.A11.
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11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A6.E$129.2E.B4.B6.B4.B6.B
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2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B3.2B.E$127.E.E5.A4.A6.A4.A6.A
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6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A3.2E$128.E
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$127.2E5.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B5.B2.B4.B3.B2.
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B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B2.E$125.E.E
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6.A4.A2.2E$126.E286.E$13.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.
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11.A11.A11.A11.A11.A2.E$125.2E2.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B
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2.B4.B5.E$123.E.E2.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A
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4.A6.A4.A6.A4.A6.A4.A6.2E$124.E286.E$7.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A6.E$123.2E.B4.B6.B4.B6.B4.B6.B4.B
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4.B3.B2.B4.B3.B2.B3.2B.E$121.E.E5.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A
6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A
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A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A10.E$121.2E5.B4.B6.B
4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B5.B2.B
4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B
2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B2.E$119.E.E.A4.A6.A4.A6.A4.A6.A4.A6.A4.
A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.
A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A2.2E$120.E286.E$7.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A2.E$119.
2E2.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B
4.B6.B4.B6.B4.B5.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B5.E$117.E.E2.A6.A4.A6.A4.A6.A4.A
6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A
4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.2E$118.E286.E$.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A6.E$
117.2E.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B
4.B6.B4.B6.B4.B6.B4.B6.B4.B5.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B
4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B3.2B.E$115.E.E5.A4.A6.A4.A6.A4.A
6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A
4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A3.2E$116.E286.E
$7.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A10.E$
115.2E5.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B
4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B5.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B
3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B2.E$113.E.E.A4.A6.A4.A6.A4.A6.A4.A6.
A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.
A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A2.2E$114.E286.E$.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A
11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A11.A2.E$
4.A2.A2.A5.A2.A2.A5.A2.A2.A5.A2.A2.A5.A2.A2.A5.A2.A2.A5.A2.A2.A5.A2.A
2.A5.A2.A2.A5.A2E2.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B
6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B6.B4.B5.B2.B4.B3.B2.B
4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B3.B2.B4.B5.E$113.E2.A6.A4.A6.A4.A6.A4.A
6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A
4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.A4.A6.2E$112.E286.E!
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 Saka » June 23rd, 2017, 9:34 pm

I like how this looks like an actual "factory"
x = 40, y = 7, rule = All_Speeds
.E2$E26.E$.E3.E21.E10.E$6.E19.B12.E$3.E.E21.2E9.E$5.E21.E!

This is also interesting to, it regenerates the dot with reds and yellows
x = 14, y = 7, rule = All_Speeds
2.E2.E.C$E3.E$2.E.E$2.E$4.2E2.B4.E$2.E.E2.A4.E$3.E8.E!

Transverse display
x = 20, y = 168, rule = All_Speeds
2.E8.E70$18.E$E18.E$2.E$.E5.E$2.E8.E$.E5.2E3.E$2.E4.E16$2.E8.E69$18.E
$E18.E$2.E$.E5.E$2.E8.E$.E5.2E3.E$2.E4.E!
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 BlinkerSpawn » June 23rd, 2017, 10:31 pm

Alternate version of this rule with (EDIT: now two fewer states) and cleaner use of auxiliary states:
@RULE Speedy
0 void
1 left vertical
2 right vertical
3 left diagonal
4 right diagonal
5 fencepost
6 left vertical advancer
7 right vertical advancer
8 left diagonal advancer
9 right diagonal advancer

@TABLE
n_states:10
neighborhood:Moore
symmetries:none
var a = {0,1,2,3,4,5,6,7,8,9}
var b = a
var c = b
var d = c
var e = d
var f = e
var g = f
var h = g
var l = {1,3}
var r = {2,4}

#left particle goes left
0,0,0,1,0,0,0,0,0,1
1,a,b,c,d,e,f,g,h,0
#right particle goes right
0,0,0,0,0,0,0,2,0,2
2,a,b,c,d,e,f,g,h,0
#left-d particle goes left
0,0,0,3,0,0,0,0,0,3
3,a,b,c,d,e,f,g,h,0
#right-d particle goes right
0,0,0,0,0,0,0,4,0,4
0,0,0,0,0,0,0,4,5,4
4,a,b,c,d,e,f,g,h,0
#left particle advances left
0,0,0,0,1,0,5,0,0,6
5,0,6,0,0,0,0,0,0,0
0,0,0,0,6,0,0,0,0,5
0,0,0,0,0,0,0,6,0,2
6,a,b,c,d,e,f,g,h,0
#right particle advances right
0,0,0,0,5,0,0,2,0,7
5,0,0,0,0,0,0,0,7,0
0,0,0,0,0,0,7,0,0,5
0,0,0,0,7,0,0,0,0,1
7,a,b,c,d,e,f,g,h,0
#left-d particle advances left
0,0,0,0,3,0,5,0,0,8
5,0,8,0,0,0,0,0,0,0
0,0,0,0,0,0,8,0,0,5
0,0,0,0,0,0,0,8,0,4
8,a,b,c,d,e,f,g,h,0
#right-d particle advances right
0,0,0,0,5,0,0,4,0,9
5,0,8,5,0,0,0,0,0,0
5,8,0,0,0,0,0,5,0,0
0,0,0,0,9,0,0,0,0,3
0,0,0,0,0,5,0,9,0,9
0,0,0,0,0,0,5,9,0,8
0,0,0,0,0,0,0,5,9,5
9,a,b,c,d,e,f,g,h,0
#slipstream
0,0,0,l,0,0,0,r,0,r
0,0,0,0,l,0,r,0,0,l
0,0,0,l,r,0,0,0,0,l
0,0,0,0,0,0,r,l,0,r
0,0,0,0,0,l,r,0,0,r
0,0,0,0,l,r,0,0,0,l

@COLORS
1 255 0 0
2 255 255 0
3 0 0 255
4 0 255 255
5 255 255 255
6 255 127 127
7 255 255 127
8 127 127 255
9 127 255 255

Ships can be directly pasted in without modification unless they are in phases with auxiliary states.
No funky signal-gun patterns here, though.

P.S. I liked in the original all-orthogonal-speeds rule how you could get strange things to happen when ships collided.
Looks like you can have fun with that here too:
x = 31, y = 19, rule = All_Speeds
E$5.D$8.F$9.E9$12.E$16.B$19.B$22.B$25.B$28.D$30.E!
Last edited by BlinkerSpawn on June 28th, 2017, 2:52 pm, edited 1 time in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
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Re: All directions and infinite speeds

Postby Saka » June 24th, 2017, 7:12 am

A gun. Guns are fun and look cool in this rule.
x = 69, y = 8, rule = All_Speeds
3.E42.E$E.E40.E.E$2.E42.E$2.E5.E36.E5.E$9.E3.E11.E26.E3.E4.E$14.E16.E
25.E9.E$11.E.E11.2E5.E21.E.E4.2E5.E$13.E11.E30.E4.E!

CHALLENGE: Make a gun you can flip left-right and it will still work.
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 AforAmpere » June 24th, 2017, 1:02 pm

Do you mean that it still shoots the same color "pushers" ? Because I don't think that is possible, because each color goes in one direction. Red and blur go left, cyan and yellow go right.
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 Saka » June 24th, 2017, 6:35 pm

AforAmpere wrote:Do you mean that it still shoots the same color "pushers" ? Because I don't think that is possible, because each color goes in one direction. Red and blur go left, cyan and yellow go right.

No. Just that it works when flipped.
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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Location: In the kingdom of Sultan Hamengkubuwono X

Re: All directions and infinite speeds

Postby Ethanagor » June 24th, 2017, 9:27 pm

Saka wrote:
AforAmpere wrote:Do you mean that it still shoots the same color "pushers" ? Because I don't think that is possible, because each color goes in one direction. Red and blur go left, cyan and yellow go right.

No. Just that it works when flipped.

Easy:
x = 11, y = 4, rule = All_Speeds
E9.E$.E7.E$.E.E3.E.E$2.E5.E!
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter
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Re: All directions and infinite speeds

Postby Saka » June 24th, 2017, 9:32 pm

Ethanagor wrote:Easy:
x = 11, y = 4, rule = All_Speeds
E9.E$.E7.E$.E.E3.E.E$2.E5.E!

It doesnt work at all..?
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 Saka » June 24th, 2017, 9:38 pm

Do you think the gun on the left will eventually break?
x = 44, y = 7, rule = All_Speeds
.E21.E$2.E21.E$E21.E$.E21.E$.E8.E12.E19.E$7.E.E30.E.E$9.E32.E!
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 Ethanagor » June 24th, 2017, 10:04 pm

Saka wrote:
Ethanagor wrote:Easy:
x = 11, y = 4, rule = All_Speeds
E9.E$.E7.E$.E.E3.E.E$2.E5.E!

It doesnt work at all..?

oh crap, I didn't copy the whole things correctly. Let me try again:
x = 14, y = 11, rule = All_Speeds
7.E6$.E10.E$2.E8.E$E.E8.E.E$.E10.E$.E10.E!
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter
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Posts: 78
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Re: All directions and infinite speeds

Postby Saka » June 24th, 2017, 10:24 pm

I accidentally made one heck of a gun. Cleanup?
x = 24, y = 9, rule = All_Speeds
6.E$5.E16.E$6.E16.E$E.E2.E16.E$2.E3.E8.E$5.E8.E$6.E7.2E$6.E6.E$14.E!


EDIT: And this fun one that features a "staircase"
x = 30, y = 18, rule = All_Speeds
E.E$2.2E$.E$2.E$.E2.C21.E$2.E17.E2.E.E.E.E$.E17.E5.E.E$2.E13.G.E.E$.E
15.E$2.E13.E.E$.E6.C6.E$2.E11.E.E$.E5.C5.E$2.E7.G.E.E$.E5.C3.E$2.ED2.
D.G.E.E$2.E6.E$10.E!
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 A for awesome » June 24th, 2017, 11:10 pm

Weird:
x = 108, y = 26, rule = All_Speeds
31.E$10.E.E17.3E$8.E.E20.E$5.E.E.E13.D$4.E2.E2.EA2.A16.E$3.E19.E6.3E$
E.E.E.B7.C3.C3.E$.EA2.A2.A2.A3.D2.D4.E$.E2.E4.D2.D7.E57.E.E$2.3E15.2E
58.2E$3.E75.E$80.E$79.E2.C21.E$80.E17.E2.E.E.E.E$79.E17.E5.E.E$80.E
13.G.E.E$79.E15.E$80.E13.E.E$79.E6.C6.E$80.E11.E.E$79.E5.C5.E$80.E7.G
.E.E$79.E5.C3.E$80.ED2.D.G.E.E$80.E6.E$88.E!

EDIT: State-4-to-ship converter:
x = 11, y = 7, rule = All_Speeds
4.E$5.E$3.E$D$8.E$9.E$9.2E!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: All directions and infinite speeds

Postby toroidalet » June 25th, 2017, 2:12 pm

Saka wrote:Do you think the gun on the left will eventually break?
x = 44, y = 7, rule = All_Speeds
.E21.E$2.E21.E$E21.E$.E21.E$.E8.E12.E19.E$7.E.E30.E.E$9.E32.E!

The one on the right does. The one on the left becomes period 52 by generation 1000.
This almost works as a knightship gun:
x = 32, y = 5, rule = All_Speeds
2.E$12.E$E.E$.E9.AE$12.E18.E!

This better one almost works, but a single dot that goes missing ruins it:
x = 26, y = 7, rule = All_Speeds
2.E.E$5.E4.E$E.E$.E2.AE$5.E18.E$23.E.E$24.E!
A for awesome wrote:EDIT: State-4-to-ship converter:
x = 11, y = 7, rule = All_Speeds
4.E$5.E$3.E$D$8.E$9.E$9.2E!

smaller:
x = 10, y = 7, rule = All_Speeds
4.E$5.E$3.E$D$8.E$9.E$7.E!

state 4 to 2 state 3s:
x = 10, y = 3, rule = All_Speeds
D8.E$7.E$8.E!

state 4 to state 3:
x = 9, y = 4, rule = All_Speeds
7.E$D7.E$6.E$7.E!

state 1 to state 2 and related heisenburp
x = 7, y = 13, rule = All_Speeds
2.E2$E.E$.E4.A6$2.E2$2.E$6.A!

state 2 to state 1
x = 10, y = 4, rule = All_Speeds
9.E$B$8.E$9.E!

state 2 to a parabola of state 1s
x = 17, y = 25, rule = All_Speeds
12.E3.E2$11.E2$10.E2$9.E2$8.E2$7.E2$6.E2$5.E2$4.E2$3.E2$E.E$.E13.E$6.
B9.E$14.E$15.E!
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Re: All directions and infinite speeds

Postby Ethanagor » June 25th, 2017, 8:43 pm

Ethanagor wrote:
Saka wrote:
Ethanagor wrote:Easy:
x = 11, y = 4, rule = All_Speeds
E9.E$.E7.E$.E.E3.E.E$2.E5.E!

It doesnt work at all..?

oh crap, I didn't copy the whole things correctly. Let me try again:
x = 14, y = 11, rule = All_Speeds
7.E6$.E10.E$2.E8.E$E.E8.E.E$.E10.E$.E10.E!


Wow, still left one cell out. This one works for real, I hope:
x = 14, y = 13, rule = All_Speeds
8.E$7.E7$.E10.E$2.E8.E$E.E8.E.E$.E10.E$.E10.E!


sorry for all of that. I need to test things I copy to make sure I have the whole thing.
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Re: All directions and infinite speeds

Postby BlinkerSpawn » June 25th, 2017, 10:14 pm

Ethanagor wrote:Wow, still left one cell out. This one works for real, I hope:
x = 14, y = 13, rule = All_Speeds
8.E$7.E7$.E10.E$2.E8.E$E.E8.E.E$.E10.E$.E10.E!


sorry for all of that.

It works fine, but can be shrunk down a bit:
x = 12, y = 11, rule = All_Speeds
7.E$6.E7$E10.E$.E8.E$.E8.E!

EDIT #dunno: Much smaller and symmetrical:
x = 10, y = 6, rule = All_Speeds
E8.E$.E6.E$2.E4.E$.E6.E$2.E4.E$2.E4.E!

This one's tiny but I didn't want to throw out the other one because that one's orthogonal(EDIT #toomany: ok how is it even smaller now):
x = 6, y = 2, rule = All_Speeds
E4.E$E4.E!

Why do fenceposts create signals in this rule anyway?
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