Perfect Orthogonal Speeds in Life-like CA
Re: Perfect Orthogonal Speeds in Life-like CA
Updated c/13 and c/44 on the OP page, but not in the rule yet.
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
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).
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
Look at this rule AbphzTa found(B2c3ae4ai56c/S2-kn3-enq4):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!
Code: Select all
░▓░░░░░░░░░▓
▓░[n cells]▓
░▓░░░░░░░░░▓
n>1, the whole thing travels at c/2n with a period of 2n.
Then I found that you had beat me to it.
Re: Perfect Orthogonal Speeds in Life-like CA
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
Last edited by wwei23 on July 4th, 2017, 3:42 pm, edited 1 time in total.
Re: Perfect Orthogonal Speeds in Life-like CA
Good choice. The spaceships get gigantic quickly. Only to be used as a last resort.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).
Re: Perfect Orthogonal Speeds in Life-like CA
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
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
...which defeats the entire purpose of this whole thread.wwei23 wrote:Just use All_Speeds.
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
As a last resort.muzik wrote:...which defeats the entire purpose of this whole thread.wwei23 wrote:Just use All_Speeds.
Re: Perfect Orthogonal Speeds in Life-like CA
Like the way that B2c3ae4ai56c/S2-kn3-enq4 is for c/2x.wwei23 wrote:As a last resort.muzik wrote:...which defeats the entire purpose of this whole thread.wwei23 wrote:Just use All_Speeds.
Re: Perfect Orthogonal Speeds in Life-like CA
It's not an isotropic single-state rule.wwei23 wrote:As a last resort.muzik wrote:...which defeats the entire purpose of this whole thread.wwei23 wrote:Just use All_Speeds.
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
obviously.
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
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
I posted that here yesterday, but I make no claim to it being novel.wwei23 wrote:c/56(Who does this belong to?):Code: Select all
x = 4, y = 3, rule = B2-ai3aek4ijtz5e7e/S01c2aik3-akry4aknwy5jn6ikn7 o$3bo$o!
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.
Semi-active here - recovering from a severe case of LWTDS.
Semi-active here - recovering from a severe case of LWTDS.
Re: Perfect Orthogonal Speeds in Life-like CA
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.
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
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
How did you find this?wwei23 wrote:c/11947 on a torus:Code: Select all
x = 100, y = 1, rule = B36/S23:T100,1 bo3bob3o3bo2bo3b3ob3ob3ob3ob3obo3bo6bo3bo3b3ob3ob3ob6ob3ob3obo3bo6bo!
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
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
Any such patterns in regular life?
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
Not that I have seen. But Life is Rule 22, known to have extreme chaos. Usually, I get oscillators instead of spaceships.muzik wrote:Any such patterns in regular life?
EDIT:
c/416 on a torus:
Code: Select all
x = 50 , y = 1 , rule = B36/S23:T50,1
ooobooobboooooboooboooboooboooboooobbbooobooobooob
Code: Select all
x = 50 , y = 1 , rule = B36/S23:T50,1
ooobooobbboboooboooboooooobobbbobbboooboooboooooob
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
Why aren't we using adjustable rules here? Also, this probably qualifies for the post with the most edits in it.muzik wrote:c/106: (B0)c/132: (p264) (B0)Code: Select all
x = 15, y = 6, rule = B0148/S02 ob2ob5ob2obo$15o$15o$15o$15o$bob2o5b2obo!
c/154: (B0)Code: Select all
x = 4, y = 5, rule = B0135/S014 2b2o$bo$2bo$b2o$obo!
c/158: (p316)Code: Select all
x = 10, y = 8, rule = B0235/S1234 2bo4bo$2b6o$2b6o$2ob4ob2o$10o$ob6obo$10o$10o!
Code: Select all
x = 8, y = 10, rule = B34567/S0456 b4obo$b7o$o2b4o$bob5o$o2b4o$bo5bo$o4b2o$bo2b4o$b4o$3bobo!
Re: Perfect Orthogonal Speeds in Life-like CA
Actually, I just found one, but it isn't true-period.muzik wrote:Any such patterns in regular life?
Re: Perfect Orthogonal Speeds in Life-like CA
Guess it's worth sharing anyway.wwei23 wrote:Actually, I just found one, but it isn't true-period.muzik wrote:Any such patterns in regular life?
Help wanted: How can we accurately notate any 1D replicator?
Re: Perfect Orthogonal Speeds in Life-like CA
Actually, width 24 has LOADS of true-periods: c/19542:muzik wrote:Guess it's worth sharing anyway.wwei23 wrote:Actually, I just found one, but it isn't true-period.muzik wrote:Any such patterns in regular life?
Code: Select all
x = 32 , y = 1 , rule = B3/S23:T32,1
bobbobobbbbbbbbbobbbbboobbbboooo