Page 4 of 5

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: June 30th, 2017, 10:13 am
by muzik
Updated c/13 and c/44 on the OP page, but not in the rule yet.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 3:09 pm
by muzik
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).

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 3:35 pm
by wwei23
AbhpzTa wrote:c/2n p2n spaceships for any integer n>1:

Code: Select all

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):

Code: Select all

░▓░░░░░░░░░▓
▓░[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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 3:39 pm
by wwei23
For all other speeds, I fetch you this, that AforAmpere made:

Code: Select all

@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

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 3:40 pm
by wwei23
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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 4:00 pm
by muzik
These speeds below c/100 currently remain:

Code: Select all

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

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 5:23 pm
by wwei23
Just use All_Speeds.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 5:29 pm
by muzik
wwei23 wrote:Just use All_Speeds.
...which defeats the entire purpose of this whole thread.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 6:52 pm
by wwei23
muzik wrote:
wwei23 wrote:Just use All_Speeds.
...which defeats the entire purpose of this whole thread.
As a last resort.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 6:53 pm
by wwei23
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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 6:55 pm
by muzik
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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 7:07 pm
by wwei23
Does that mean it doesn't count?

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 4th, 2017, 7:08 pm
by muzik
obviously.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 10th, 2017, 7:10 pm
by wwei23
c/56(Who does this belong to?):

Code: Select all

x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7
o$3bo$o!

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 10th, 2017, 10:25 pm
by wildmyron
wwei23 wrote:c/56(Who does this belong to?):

Code: Select all

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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 22nd, 2017, 11:31 am
by wwei23
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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 24th, 2017, 5:47 pm
by wwei23
c/11947 on a torus:

Code: Select all

x = 100, y = 1, rule = B36/S23:T100,1
bo3bob3o3bo2bo3b3ob3ob3ob3ob3obo3bo6bo3bo3b3ob3ob3ob6ob3ob3obo3bo6bo!

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 24th, 2017, 7:57 pm
by muzik
wwei23 wrote:c/11947 on a torus:

Code: Select all

x = 100, y = 1, rule = B36/S23:T100,1
bo3bob3o3bo2bo3b3ob3ob3ob3ob3obo3bo6bo3bo3b3ob3ob3ob6ob3ob3obo3bo6bo!
How did you find this?

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 24th, 2017, 8:06 pm
by wwei23
I was using Oscar and filling a section randomly. B36/S23:TX,1 Corresponds to Rule 54 in TX.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 24th, 2017, 8:26 pm
by muzik
Any such patterns in regular life?

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 24th, 2017, 8:33 pm
by wwei23
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:

Code: Select all

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

Code: Select all

x = 50 , y = 1 , rule = B36/S23:T50,1
ooobooobbboboooboooboooooobobbbobbboooboooboooooob
EDIT:
c/2583 on a torus:

Code: Select all

x = 60 , y = 1 , rule = B36/S23:T60,1
boooboooboooboooboooooobooobooobooobooobbbobbbobooobbobbbobb

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 25th, 2017, 6:33 pm
by wwei23
muzik wrote:c/106: (B0)

Code: Select all

x = 15, y = 6, rule = B0148/S02
ob2ob5ob2obo$15o$15o$15o$15o$bob2o5b2obo!
c/132: (p264) (B0)

Code: Select all

x = 4, y = 5, rule = B0135/S014
2b2o$bo$2bo$b2o$obo!
c/154: (B0)

Code: Select all

x = 10, y = 8, rule = B0235/S1234
2bo4bo$2b6o$2b6o$2ob4ob2o$10o$ob6obo$10o$10o!
c/158: (p316)

Code: Select all

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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 25th, 2017, 6:34 pm
by wwei23
muzik wrote:Any such patterns in regular life?
Actually, I just found one, but it isn't true-period.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 25th, 2017, 11:06 pm
by muzik
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.

Re: Perfect Orthogonal Speeds in Life-like CA

Posted: July 26th, 2017, 7:39 am
by wwei23
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 173 times
c/19542:

Code: Select all

x = 32 , y = 1 , rule = B3/S23:T32,1
bobbobobbbbbbbbbobbbbboobbbboooo
Never mind, Oscar can be inaccurate. Still, there may be some good spaceships.