ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

Perfect Orthogonal Speeds in Life-like CA

For discussion of other cellular automata.

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » June 30th, 2017, 10:13 am

Updated c/13 and c/44 on the OP page, but not in the rule yet.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 4th, 2017, 3:09 pm

Finally got a method to implement all even speeds, which should reduce the size of the mashup by lots even if the cell counts aren't all optimal. Keeping everything here the same except for the flawed rules (wrong period and/or B0).
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 4th, 2017, 3:35 pm

AbhpzTa wrote:c/2n p2n spaceships for any integer n>1:
x = 10, y = 38, rule = B2c3ae4ai56c/S2-kn3-enq4
bo2bo$ob3o$bo2bo5$bo3bo$ob4o$bo3bo5$bo4bo$ob5o$bo4bo5$bo5bo$ob6o$bo5bo
5$bo6bo$ob7o$bo6bo5$bo7bo$ob8o$bo7bo!

Look at this rule AbphzTa found(B2c3ae4ai56c/S2-kn3-enq4):
░▓░░░░░░░░░▓
▓░[n cells]▓
░▓░░░░░░░░░▓
n>1, the whole thing travels at c/2n with a period of 2n.

EDIT:
Then I found that you had beat me to it.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 4th, 2017, 3:39 pm

For all other speeds, I fetch you this, that AforAmpere made:
@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
Last edited by wwei23 on July 4th, 2017, 3:42 pm, edited 1 time in total.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 4th, 2017, 3:40 pm

muzik wrote:Finally got a method to implement all even speeds, which should reduce the size of the mashup by lots even if the cell counts aren't all optimal. Keeping everything here the same except for the flawed rules (wrong period and/or B0).

Good choice. The spaceships get gigantic quickly. Only to be used as a last resort.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 4th, 2017, 4:00 pm

These speeds below c/100 currently remain:

c/51
c/57
c/61
c/65
c/69
c/71
c/75
c/77
c/79
c/85
c/91
c/93
c/95
c/97
c/99
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland


Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 4th, 2017, 5:29 pm

wwei23 wrote:Just use All_Speeds.

...which defeats the entire purpose of this whole thread.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 4th, 2017, 6:52 pm

muzik wrote:
wwei23 wrote:Just use All_Speeds.

...which defeats the entire purpose of this whole thread.

As a last resort.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 4th, 2017, 6:53 pm

wwei23 wrote:
muzik wrote:
wwei23 wrote:Just use All_Speeds.

...which defeats the entire purpose of this whole thread.

As a last resort.

Like the way that B2c3ae4ai56c/S2-kn3-enq4 is for c/2x.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 4th, 2017, 6:55 pm

wwei23 wrote:
muzik wrote:
wwei23 wrote:Just use All_Speeds.

...which defeats the entire purpose of this whole thread.

As a last resort.

It's not an isotropic single-state rule.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 4th, 2017, 7:07 pm

Does that mean it doesn't count?
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 4th, 2017, 7:08 pm

obviously.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 10th, 2017, 7:10 pm

c/56(Who does this belong to?):
x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7
o$3bo$o!
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wildmyron » July 10th, 2017, 10:25 pm

wwei23 wrote:c/56(Who does this belong to?):
x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7
o$3bo$o!

I posted that here yesterday, but I make no claim to it being novel.
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1238
Joined: August 9th, 2013, 12:45 am

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 22nd, 2017, 11:31 am

Daily I search Catagolue for spaceships in new rules. Nothing yet.
EDIT:
Two c/63 diagonals:
https://catagolue.appspot.com/census/b2 ... 3r/C1/xq63
EDIT:
Never mind, you already got it.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 24th, 2017, 5:47 pm

c/11947 on a torus:
x = 100, y = 1, rule = B36/S23:T100,1
bo3bob3o3bo2bo3b3ob3ob3ob3ob3obo3bo6bo3bo3b3ob3ob3ob6ob3ob3obo3bo6bo!
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 24th, 2017, 7:57 pm

wwei23 wrote:c/11947 on a torus:
x = 100, y = 1, rule = B36/S23:T100,1
bo3bob3o3bo2bo3b3ob3ob3ob3ob3obo3bo6bo3bo3b3ob3ob3ob6ob3ob3obo3bo6bo!


How did you find this?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 24th, 2017, 8:06 pm

I was using Oscar and filling a section randomly. B36/S23:TX,1 Corresponds to Rule 54 in TX.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 24th, 2017, 8:26 pm

Any such patterns in regular life?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 24th, 2017, 8:33 pm

muzik wrote:Any such patterns in regular life?

Not that I have seen. But Life is Rule 22, known to have extreme chaos. Usually, I get oscillators instead of spaceships.
EDIT:
c/416 on a torus:
x = 50 , y = 1 , rule = B36/S23:T50,1
ooobooobboooooboooboooboooboooboooobbbooobooobooob

c/468 on a torus:
x = 50 , y = 1 , rule = B36/S23:T50,1
ooobooobbboboooboooboooooobobbbobbboooboooboooooob

EDIT:
c/2583 on a torus:
x = 60 , y = 1 , rule = B36/S23:T60,1
boooboooboooboooboooooobooobooobooobooobbbobbbobooobbobbbobb
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 25th, 2017, 6:33 pm

muzik wrote:c/106: (B0)
x = 15, y = 6, rule = B0148/S02
ob2ob5ob2obo$15o$15o$15o$15o$bob2o5b2obo!


c/132: (p264) (B0)
x = 4, y = 5, rule = B0135/S014
2b2o$bo$2bo$b2o$obo!


c/154: (B0)
x = 10, y = 8, rule = B0235/S1234
2bo4bo$2b6o$2b6o$2ob4ob2o$10o$ob6obo$10o$10o!


c/158: (p316)
x = 8, y = 10, rule = B34567/S0456
b4obo$b7o$o2b4o$bob5o$o2b4o$bo5bo$o4b2o$bo2b4o$b4o$3bobo!



Why aren't we using adjustable rules here? Also, this probably qualifies for the post with the most edits in it.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 25th, 2017, 6:34 pm

muzik wrote:Any such patterns in regular life?

Actually, I just found one, but it isn't true-period.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: Perfect Orthogonal Speeds in Life-like CA

Postby muzik » July 25th, 2017, 11:06 pm

wwei23 wrote:
muzik wrote:Any such patterns in regular life?

Actually, I just found one, but it isn't true-period.

Guess it's worth sharing anyway.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Perfect Orthogonal Speeds in Life-like CA

Postby wwei23 » July 26th, 2017, 7:39 am

muzik wrote:
wwei23 wrote:
muzik wrote:Any such patterns in regular life?

Actually, I just found one, but it isn't true-period.

Guess it's worth sharing anyway.

Actually, width 24 has LOADS of true-periods:
T24.txt
(49.7 KiB) Downloaded 50 times

c/19542:
x = 32 , y = 1 , rule = B3/S23:T32,1
bobbobobbbbbbbbbobbbbboobbbboooo

Never mind, Oscar can be inaccurate. Still, there may be some good spaceships.
User avatar
wwei23
 
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

PreviousNext

Return to Other Cellular Automata

Who is online

Users browsing this forum: No registered users and 7 guests