Perfect Orthogonal Speeds in Life-like CA

For discussion of other cellular automata.
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muzik
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Re: Perfect Orthogonal Speeds in Life-like CA

Post by muzik » June 30th, 2017, 10:13 am

Updated c/13 and c/44 on the OP page, but not in the rule yet.

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muzik
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Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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).

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 4th, 2017, 3:35 pm

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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 4th, 2017, 3:39 pm

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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by muzik » July 4th, 2017, 4:00 pm

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

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 4th, 2017, 5:23 pm

Just use All_Speeds.

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by muzik » July 4th, 2017, 5:29 pm

wwei23 wrote:Just use All_Speeds.
...which defeats the entire purpose of this whole thread.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 4th, 2017, 7:07 pm

Does that mean it doesn't count?

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muzik
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Re: Perfect Orthogonal Speeds in Life-like CA

Post by muzik » July 4th, 2017, 7:08 pm

obviously.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 10th, 2017, 7:10 pm

c/56(Who does this belong to?):

Code: Select all

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

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by wildmyron » July 10th, 2017, 10:25 pm

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.
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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 24th, 2017, 5:47 pm

c/11947 on a torus:

Code: Select all

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

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by muzik » July 24th, 2017, 7:57 pm

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?

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by muzik » July 24th, 2017, 8:26 pm

Any such patterns in regular life?

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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:

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

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by wwei23 » July 25th, 2017, 6:33 pm

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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

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Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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.

wwei23

Re: Perfect Orthogonal Speeds in Life-like CA

Post by 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 129 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.

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