## Perfect Orthogonal Speeds in Life-like CA

For discussion of other cellular automata.
muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

So the raw data is just from the glider database, right?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

Yeah, if you go to this, it has all of the gliders, in his format, http://fano.ics.uci.edu/glider.db, to find a specific speed, like c/55, just search :55:1:0, :550, :55:0:1, and :55:0:-1, which are the four possible parameters for c/55 p55.
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Right, I managed to find a c/41, but no c/42.

EDIT: c/43 found.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

I can't find one either, and I have none on my list. There is none in drc's collection either. I don't know if any are known.
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Aha, so we have hit a wall!

...at least until some nutter puts together a database for all gliders in non-totalistic rules, which won't happen way too soon due to the fact that there are masses more of non-totalistic glider-supporting rules than totalistic.

EDIT: Not turning up anything for c/51 either.
Last edited by muzik on June 17th, 2017, 5:56 pm, edited 1 time in total.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

Ah, there's only 2251799813685248 rules to search!
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Here's the current version of that rule mashup, which, while only one day old, is going to get absolutely destroyed by the update it's getting tomorrow:

Code: Select all

``````@RULE RainbowASOv0.1
@TABLE
n_states:12
neighborhood:Moore
symmetries:rotate4reflect
var aa=1
var ab=2
var ac=3
var ae=5
var af=6
var ag=7
var ah=8
var ai=9
var aj=10
var ak=11
var a={0,1,2,3,4,5,6,7,8,9,10,11}
var b=a
var d=a
var e=a
var f=a
var g=a
var i=a
var j=a
var k=a
#life
0,aa,aa,aa,0,0,0,0,0,aa
0,aa,aa,0,aa,0,0,0,0,aa
0,aa,aa,0,0,aa,0,0,0,aa
0,aa,aa,0,0,0,aa,0,0,aa
0,aa,aa,0,0,0,0,aa,0,aa
0,aa,aa,0,0,0,0,0,aa,aa
0,aa,0,aa,0,aa,0,0,0,aa
0,aa,0,aa,0,0,aa,0,0,aa
0,aa,0,0,aa,0,aa,0,0,aa
0,0,aa,0,aa,0,aa,0,0,aa
aa,aa,aa,0,0,0,0,0,0,aa
aa,aa,0,aa,0,0,0,0,0,aa
aa,aa,0,0,aa,0,0,0,0,aa
aa,aa,0,0,0,aa,0,0,0,aa
aa,0,aa,0,aa,0,0,0,0,aa
aa,0,aa,0,0,aa,0,0,0,aa
aa,0,aa,0,0,0,aa,0,0,aa
aa,aa,aa,aa,0,0,0,0,0,aa
aa,aa,aa,0,aa,0,0,0,0,aa
aa,aa,aa,0,0,aa,0,0,0,aa
aa,aa,aa,0,0,0,aa,0,0,aa
aa,aa,aa,0,0,0,0,aa,0,aa
aa,aa,aa,0,0,0,0,0,aa,aa
aa,aa,0,aa,0,aa,0,0,0,aa
aa,aa,0,aa,0,0,aa,0,0,aa
aa,aa,0,0,aa,0,aa,0,0,aa
aa,0,aa,0,aa,0,aa,0,0,aa
#c1
0,ab,ab,0,0,0,0,0,0,ab
0,ab,ab,0,0,ab,0,0,0,ab
#c8
0,ac,0,ac,0,0,0,0,0,ac
0,ac,0,0,ac,0,0,0,0,ac
0,ac,0,0,0,ac,0,0,0,ac
0,0,ac,0,ac,0,0,0,0,ac
0,0,ac,0,0,0,ac,0,0,ac
0,ac,ac,ac,0,0,0,0,0,ac
0,ac,ac,0,ac,0,0,0,0,ac
0,ac,ac,0,0,ac,0,0,0,ac
0,ac,ac,0,0,0,ac,0,0,ac
0,ac,0,ac,0,ac,0,0,0,ac
0,ac,0,ac,0,0,ac,0,0,ac
0,ac,0,0,ac,0,ac,0,0,ac
0,0,ac,0,ac,0,ac,0,0,ac
ac,ac,0,0,0,0,0,0,0,ac
ac,0,ac,0,0,0,0,0,0,ac
ac,ac,ac,ac,0,0,0,0,0,ac
ac,ac,ac,0,ac,0,0,0,0,ac
ac,ac,ac,0,0,ac,0,0,0,ac
ac,ac,ac,0,0,0,ac,0,0,ac
ac,ac,ac,0,0,0,0,ac,0,ac
ac,ac,ac,0,0,0,0,0,ac,ac
ac,ac,0,ac,0,ac,0,0,0,ac
ac,ac,0,ac,0,0,ac,0,0,ac
ac,ac,0,0,ac,0,ac,0,0,ac
ac,0,ac,0,ac,0,ac,0,0,ac
#c9
#c11
0,ae,ae,0,0,0,0,0,0,ae
0,ae,0,ae,0,0,0,0,0,ae
0,ae,0,0,ae,0,0,0,0,ae
0,ae,0,0,0,ae,0,0,0,ae
0,0,ae,0,ae,0,0,0,0,ae
0,0,ae,0,0,0,ae,0,0,ae
0,ae,ae,ae,ae,0,0,0,0,ae
0,ae,ae,ae,0,ae,0,0,0,ae
0,ae,ae,ae,0,0,ae,0,0,ae
0,ae,ae,0,ae,ae,0,0,0,ae
0,ae,ae,0,ae,0,ae,0,0,ae
0,ae,ae,0,ae,0,0,ae,0,ae
0,ae,ae,0,ae,0,0,0,ae,ae
0,ae,ae,0,0,ae,ae,0,0,ae
0,ae,ae,0,0,ae,0,ae,0,ae
0,ae,ae,0,0,ae,0,0,ae,ae
0,ae,ae,0,0,0,ae,ae,0,ae
0,ae,0,ae,0,ae,0,ae,0,ae
0,0,ae,0,ae,0,ae,0,ae,ae
ae,0,0,0,0,0,0,0,0,ae
ae,ae,ae,0,0,0,0,0,0,ae
ae,ae,0,ae,0,0,0,0,0,ae
ae,ae,0,0,ae,0,0,0,0,ae
ae,ae,0,0,0,ae,0,0,0,ae
ae,0,ae,0,ae,0,0,0,0,ae
ae,0,ae,0,0,0,ae,0,0,ae
#c12
0,af,af,af,0,0,0,0,0,af
0,af,af,0,af,0,0,0,0,af
0,af,af,0,0,af,0,0,0,af
0,af,af,0,0,0,af,0,0,af
0,af,af,0,0,0,0,af,0,af
0,af,af,0,0,0,0,0,af,af
0,af,0,af,0,af,0,0,0,af
0,af,0,af,0,0,af,0,0,af
0,af,0,0,af,0,af,0,0,af
0,0,af,0,af,0,af,0,0,af
af,af,0,af,0,0,0,0,0,af
af,af,0,0,af,0,0,0,0,af
af,af,0,0,0,af,0,0,0,af
af,0,af,0,af,0,0,0,0,af
af,0,af,0,0,0,af,0,0,af
af,af,af,0,af,0,0,0,0,af
af,af,af,0,0,af,0,0,0,af
af,af,af,0,0,0,af,0,0,af
af,af,af,0,0,0,0,af,0,af
af,af,af,0,0,0,0,0,af,af
af,af,0,af,0,af,0,0,0,af
af,af,0,af,0,0,af,0,0,af
af,af,0,0,af,0,af,0,0,af
af,0,af,0,af,0,af,0,0,af
af,af,af,af,0,af,0,0,0,af
af,af,af,af,0,0,af,0,0,af
af,af,af,0,af,0,af,0,0,af
af,af,af,0,af,0,0,af,0,af
af,af,af,0,af,0,0,0,af,af
af,af,af,0,0,af,af,0,0,af
af,af,af,0,0,af,0,af,0,af
af,af,af,0,0,af,0,0,af,af
af,af,af,0,0,0,af,af,0,af
af,af,0,af,0,af,0,af,0,af
af,0,af,0,af,0,af,0,af,af
af,af,af,af,af,af,0,0,0,af
af,af,af,af,af,0,0,af,0,af
af,af,af,af,af,0,0,0,af,af
af,af,af,0,af,af,0,af,0,af
af,af,af,0,af,0,af,af,0,af
#c13
0,ag,ag,ag,0,0,0,0,0,ag
0,ag,ag,0,ag,0,0,0,0,ag
0,ag,ag,0,0,ag,0,0,0,ag
0,ag,ag,0,0,0,ag,0,0,ag
0,ag,ag,0,0,0,0,ag,0,ag
0,ag,ag,0,0,0,0,0,ag,ag
0,ag,0,ag,0,ag,0,0,0,ag
0,ag,0,ag,0,0,ag,0,0,ag
0,ag,0,0,ag,0,ag,0,0,ag
0,0,ag,0,ag,0,ag,0,0,ag
ag,ag,ag,0,0,0,0,0,0,ag
ag,ag,0,ag,0,0,0,0,0,ag
ag,ag,0,0,ag,0,0,0,0,ag
ag,ag,0,0,0,ag,0,0,0,ag
ag,0,ag,0,ag,0,0,0,0,ag
ag,0,ag,0,0,0,ag,0,0,ag
ag,ag,ag,ag,ag,0,0,0,0,ag
ag,ag,ag,ag,0,ag,0,0,0,ag
ag,ag,ag,ag,0,0,ag,0,0,ag
ag,ag,ag,0,ag,ag,0,0,0,ag
ag,ag,ag,0,ag,0,ag,0,0,ag
ag,ag,ag,0,ag,0,0,ag,0,ag
ag,ag,ag,0,ag,0,0,0,ag,ag
ag,ag,ag,0,0,ag,ag,0,0,ag
ag,ag,ag,0,0,ag,0,ag,0,ag
ag,ag,ag,0,0,ag,0,0,ag,ag
ag,ag,ag,0,0,0,ag,ag,0,ag
ag,ag,0,ag,0,ag,0,ag,0,ag
ag,0,ag,0,ag,0,ag,0,ag,ag
ag,ag,ag,ag,ag,ag,0,0,0,ag
ag,ag,ag,ag,ag,0,ag,0,0,ag
ag,ag,ag,ag,ag,0,0,ag,0,ag
ag,ag,ag,ag,ag,0,0,0,ag,ag
ag,ag,ag,ag,0,ag,ag,0,0,ag
ag,ag,ag,ag,0,ag,0,ag,0,ag
ag,ag,ag,0,ag,ag,ag,0,0,ag
ag,ag,ag,0,ag,ag,0,ag,0,ag
ag,ag,ag,0,ag,0,ag,ag,0,ag
ag,ag,ag,0,ag,0,ag,0,ag,ag
ag,ag,ag,ag,ag,ag,ag,0,0,ag
ag,ag,ag,ag,ag,ag,0,ag,0,ag
ag,ag,ag,ag,ag,0,ag,ag,0,ag
ag,ag,ag,ag,ag,0,ag,0,ag,ag
ag,ag,ag,ag,0,ag,ag,ag,0,ag
ag,ag,ag,0,ag,ag,ag,0,ag,ag
#c14
0,0,ah,0,0,0,ah,0,0,ah
0,ah,ah,ah,0,0,0,0,0,ah
0,ah,ah,0,0,0,0,0,ah,ah
0,ah,ah,ah,ah,0,0,0,0,ah
0,ah,ah,ah,ah,ah,ah,ah,0,ah
0,ah,ah,ah,ah,ah,ah,0,ah,ah
0,ah,ah,ah,ah,ah,ah,ah,ah,ah
ah,ah,ah,ah,0,0,0,0,0,ah
ah,ah,ah,0,ah,0,0,0,0,ah
ah,ah,ah,0,0,ah,0,0,0,ah
ah,ah,ah,0,0,0,ah,0,0,ah
ah,ah,ah,0,0,0,0,ah,0,ah
ah,ah,ah,0,0,0,0,0,ah,ah
ah,ah,0,ah,0,ah,0,0,0,ah
ah,ah,0,ah,0,0,ah,0,0,ah
ah,ah,0,0,ah,0,ah,0,0,ah
ah,0,ah,0,ah,0,ah,0,0,ah
ah,ah,ah,ah,ah,ah,0,0,0,ah
ah,ah,ah,ah,ah,0,ah,0,0,ah
ah,ah,ah,ah,ah,0,0,ah,0,ah
ah,ah,ah,ah,ah,0,0,0,ah,ah
ah,ah,ah,ah,0,ah,ah,0,0,ah
ah,ah,ah,ah,0,ah,0,ah,0,ah
ah,ah,ah,0,ah,ah,ah,0,0,ah
ah,ah,ah,0,ah,ah,0,ah,0,ah
ah,ah,ah,0,ah,0,ah,ah,0,ah
ah,ah,ah,0,ah,0,ah,0,ah,ah
ah,ah,ah,ah,ah,ah,ah,0,0,ah
ah,ah,ah,ah,ah,ah,0,ah,0,ah
ah,ah,ah,ah,ah,0,ah,ah,0,ah
ah,ah,ah,ah,ah,0,ah,0,ah,ah
ah,ah,ah,ah,0,ah,ah,ah,0,ah
ah,ah,ah,0,ah,ah,ah,0,ah,ah
ah,ah,ah,ah,ah,ah,ah,ah,0,ah
ah,ah,ah,ah,ah,ah,ah,0,ah,ah
ah,ah,ah,ah,ah,ah,ah,ah,ah,ah
#c15
0,ai,ai,ai,0,0,0,0,0,ai
0,ai,ai,0,ai,0,0,0,0,ai
0,ai,ai,0,0,ai,0,0,0,ai
0,ai,ai,0,0,0,ai,0,0,ai
0,ai,ai,0,0,0,0,ai,0,ai
0,ai,ai,0,0,0,0,0,ai,ai
0,ai,0,ai,0,ai,0,0,0,ai
0,ai,0,ai,0,0,ai,0,0,ai
0,ai,0,0,ai,0,ai,0,0,ai
0,0,ai,0,ai,0,ai,0,0,ai
0,ai,ai,0,0,ai,0,ai,0,ai
0,0,ai,0,ai,0,ai,0,ai,ai
0,ai,ai,ai,ai,0,0,ai,0,ai
0,ai,ai,ai,0,ai,ai,ai,0,ai
ai,ai,ai,0,0,0,0,0,0,ai
ai,ai,0,ai,0,0,0,0,0,ai
ai,ai,0,0,ai,0,0,0,0,ai
ai,ai,0,0,0,ai,0,0,0,ai
ai,0,ai,0,ai,0,0,0,0,ai
ai,0,ai,0,0,0,ai,0,0,ai
ai,ai,ai,ai,0,0,0,0,0,ai
ai,ai,ai,0,ai,0,0,0,0,ai
ai,ai,ai,0,0,0,ai,0,0,ai
ai,ai,ai,0,0,0,0,ai,0,ai
ai,ai,ai,0,0,0,0,0,ai,ai
ai,ai,0,ai,0,ai,0,0,0,ai
ai,ai,0,ai,0,0,ai,0,0,ai
ai,ai,0,0,ai,0,ai,0,0,ai
ai,0,ai,0,ai,0,ai,0,0,ai
ai,ai,ai,0,ai,ai,0,0,0,ai
ai,ai,ai,0,0,ai,0,0,ai,ai
#c16
0,aj,0,aj,0,0,0,0,0,aj
0,0,aj,0,aj,0,0,0,0,aj
0,aj,aj,aj,0,0,0,0,0,aj
0,aj,aj,0,0,0,0,0,aj,aj
0,aj,0,0,aj,0,aj,0,0,aj
aj,aj,0,0,0,0,0,0,0,aj
aj,0,aj,0,0,0,0,0,0,aj
aj,aj,aj,0,0,0,0,0,0,aj
aj,aj,0,aj,0,0,0,0,0,aj
aj,aj,0,0,0,aj,0,0,0,aj
aj,aj,aj,0,0,aj,0,0,0,aj
#c17
0,ak,ak,ak,0,0,0,0,0,ak
0,ak,ak,0,ak,0,0,0,0,ak
0,ak,ak,0,0,ak,0,0,0,ak
0,ak,ak,0,0,0,ak,0,0,ak
0,ak,ak,0,0,0,0,ak,0,ak
0,ak,ak,0,0,0,0,0,ak,ak
0,ak,0,ak,0,ak,0,0,0,ak
0,ak,0,ak,0,0,ak,0,0,ak
0,ak,0,0,ak,0,ak,0,0,ak
0,0,ak,0,ak,0,ak,0,0,ak
0,ak,ak,0,ak,0,0,0,ak,ak
0,ak,ak,ak,ak,ak,ak,ak,0,ak
0,ak,ak,ak,ak,ak,ak,0,ak,ak
ak,ak,ak,0,0,0,0,0,0,ak
ak,ak,0,ak,0,0,0,0,0,ak
ak,ak,0,0,ak,0,0,0,0,ak
ak,ak,0,0,0,ak,0,0,0,ak
ak,0,ak,0,ak,0,0,0,0,ak
ak,0,ak,0,0,0,ak,0,0,ak
ak,ak,ak,ak,0,0,0,0,0,ak
ak,ak,ak,0,ak,0,0,0,0,ak
ak,ak,ak,0,0,ak,0,0,0,ak
ak,ak,ak,0,0,0,ak,0,0,ak
ak,ak,ak,0,0,0,0,ak,0,ak
ak,ak,ak,0,0,0,0,0,ak,ak
ak,ak,0,ak,0,ak,0,0,0,ak
ak,ak,0,ak,0,0,ak,0,0,ak
ak,ak,0,0,ak,0,ak,0,0,ak
ak,0,ak,0,ak,0,ak,0,0,ak

#death
a,b,d,e,f,g,i,j,k,0

@COLORS

0 0 0 0
1 255 255 255
2 255 0 0
3 0 255 0
4 0 0 255
5 0 255 255
6 255 0 255
7 255 255 0
8 255 127 0
9 127 255 0
10 255 0 127
11 127 0 255
``````
alongside its demonstration, counted in dozenal because I'm a selfish idiot:

Code: Select all

``````x = 50, y = 450, rule = RainbowASOv0.1
B.3B\$B.B.B\$B.B.B\$B.B.B\$B.3B5\$6.4F\$7.F.F\$7.F.F\$6.4F28\$B.B37.B\$B.B37.B\$
B.B37.B\$B.B37.B\$B.B37.B3\$47.B.B\$49.B\$6.2G\$5.2G\$4.G2.G.G\$5.G.3G\$5.G.G\$
5.G.3G\$4.G2.G.G\$5.2G\$6.2G23\$B.3B35.3B\$B3.B37.B\$B.3B35.3B\$B.B37.B\$B.3B
35.3B3\$42.A.A\$42.A2.A\$7.H37.2A\$6.3H38.A\$7.3H35.4A\$7.3H34.A4.A\$6.3H37.
A2.A\$7.H38.A2.A\$48.A\$42.A.4A\$42.A3.A\$45.A\$43.A.A2\$44.3A\$45.2A\$44.3A2\$
43.A.A\$45.A\$42.A3.A\$42.A.4A\$48.A\$46.A2.A\$46.A2.A\$44.A4.A\$45.4A\$47.A\$
45.2A\$42.A2.A\$42.A.A3\$B.3B35.3B\$B3.B37.B\$B.3B35.3B\$B3.B37.B\$B.3B35.3B
3\$46.A\$9.I35.A.A\$8.I36.A.A\$8.I38.A\$8.I38.2A\$9.I36.A.A\$9.I\$47.3A\$47.A.
A\$46.A.A\$48.2A2\$48.A\$46.A.A\$46.A.A\$47.A18\$B.B.B35.B.B\$B.B.B35.B.B\$B.
3B35.3B\$B3.B37.B\$B3.B37.B3\$47.A\$44.A3.2A\$7.2J34.2A2.A\$9.J33.2A\$7.2J
35.A\$44.2A\$44.A\$45.A\$45.3A\$44.A\$42.2A4.A2\$46.2A\$41.A4.A\$42.2A.A\$43.A.
A\$42.3A\$38.2A2.A\$40.A15\$B.3B35.3B\$B.B37.B\$B.3B35.3B\$B3.B37.B\$B.3B35.
3B5\$2K44.2A\$.2K4.2K34.2A2.A\$K2.K2.K2.K33.2A2.A\$.2K4.2K39.A\$2K41.A.4A\$
42.2A.A\$46.3A\$47.A\$47.2A\$49.A\$48.A\$48.A\$44.3A2\$44.3A\$48.A\$48.A\$49.A\$
47.2A\$47.A\$46.3A\$42.2A.A\$43.A.4A\$48.A\$43.2A2.A\$43.2A2.A\$46.2A5\$40.3B\$
40.B\$40.3B\$40.B.B\$40.3B3\$48.A\$48.A\$48.A2\$46.3A\$49.A\$49.A\$39.A3.2A4.A\$
38.A.A.A4.A\$42.2A\$41.2A2.2A\$42.A.2A.A\$42.A5.A\$42.A5.A\$42.A.2A.A\$41.2A
2.2A\$42.2A\$38.A.A.A4.A\$39.A3.2A4.A\$49.A\$49.A\$46.3A2\$48.A\$48.A\$48.A8\$
40.3B\$42.B\$42.B\$42.B\$42.B4\$41.2A.A2.2A\$42.2A2.A2.A\$46.A.A\$47.A\$41.A\$
41.3A\$44.A\$43.A\$41.2A24\$40.3B\$40.B.B\$40.3B\$40.B.B\$40.3B4\$47.C\$47.C.C
3\$47.C.C\$47.C27\$40.3B\$40.B.B\$40.3B\$42.B\$40.3B3\$48.D\$46.D\$49.D\$46.D\$
48.D29\$40.B.B\$41.B\$41.B\$41.B\$40.B.B4\$43.A.2A\$42.A6.A\$41.2A3.A2.A\$38.
2A.A5.2A\$38.2A.A5.2A\$41.2A3.A2.A\$42.A6.A\$43.A.2A25\$40.3B\$40.B\$40.3B\$
40.B\$40.3B3\$49.E\$45.E2.E\$49.E!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

c/42, c/51, c/52, c/57, c/58, c/61, c/65, c/69, c/71, c/72, c/75, c/77, c/78, c/79, c/82, c/84, c/85, c/88, c/90, c/91, c/93, c/94, c/95, c/96, c/97 and c/99 seem to be the perfect speeds below 100 without a known ship as of right now. c/62, c/68, c/74, c/76 and c/80 only seem to have B0 ships.

That's a lot more missing than I would have expected to be honest.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

You checked all permutations on the database? I don't have the ships you need, but drc's dropbox collection or the natural ships with strange speeds thread might have something
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

yup, checked that ages ago, so nothing new.

But still, we have every speed perfect up to what, 41? That's good enough so far until someone figures out how to fill in those gaps.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

What speeds do you have that just have too high of a period?
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

AforAmpere wrote:What speeds do you have that just have too high of a period?
c/42, c/132 and c/158
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Rhombic
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

Smallest possible c/3
https://catagolue.appspot.com/object/xq ... 045-eiy6a7

it has 3 cells in two of its three phases!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Perfect Orthogonal Speeds in Life-like CA

Why aren't the B0's showing strobe lights in the LifeViewers?

Posts: 1908
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Perfect Orthogonal Speeds in Life-like CA

wwei23 wrote:Why aren't the B0's showing strobe lights in the LifeViewers?
They use the same workaround as Golly.
EDIT:
Rhombic wrote:Smallest possible c/3

Code: Select all

``````x = 2, y = 3, rule = B2-a3i46c7c/S045-eiy6a7
o\$bo\$o!
``````
it has 3 cells in two of its three phases!
3 cells smaller in largest phase:

Code: Select all

``````x = 2, y = 3, rule = B2-cn3e/S2c3iy
o\$bo\$o!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

toroidalet
Posts: 1023
Joined: August 7th, 2016, 1:48 pm
Location: my computer
Contact:

### Re: Perfect Orthogonal Speeds in Life-like CA

This one has the smallest minimum phase:

Code: Select all

``````x = 4, y = 1, rule = B2cin3aiy6c/S02ac3i
ob2o!``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

Posts: 1908
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Perfect Orthogonal Speeds in Life-like CA

toroidalet wrote:This one has the smallest minimum phase:

Code: Select all

``````x = 4, y = 1, rule = B2cin3aiy6c/S02ac3i
ob2o!``````
Same initial phase, minimal population signature:

Code: Select all

``````x = 4, y = 1, rule = B2ce3i4t/S02c
ob2o!
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Perfect Orthogonal Speeds in Life-like CA

I have no idea how to search for spaceships!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Perfect Orthogonal Speeds in Life-like CA

wwei23 wrote:I have no idea how to search for spaceships!
Method 1: Exploration
Make up a random rulestring that contains b2ec or b3ai. Keep modifying. Once you are satisfied just apgsearch it.

Method 2: Searching
If you have an interestimg rule you can search it with a search tool. If you dont know search tools go to the Tutorials

PS. Your signature isnt a replicator it's a breeder
Airy Clave White It Nay

Code: Select all

``````x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5b
o2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!
``````
(Check gen 2)

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Perfect Orthogonal Speeds in Life-like CA

What I meant is that the R-pentomino produces R-pentominos, like a replicator. If left unchecked, it would grow exponentially, but its own debries and copies start destroying each other. It is like a replicator, and like a breeder.

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Perfect Orthogonal Speeds in Life-like CA

Totalistic rules should be prioritized over non-totalistic rules, since they are closer to Life.

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Perfect Orthogonal Speeds in Life-like CA

Now I feel like 42 is mocking us all because 42 is the essence of Life and yet we can't find its spaceship!

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Perfect Orthogonal Speeds in Life-like CA

Well, I just went through every rule I could find on Catagolue and turned up empty-handed.

AforAmpere
Posts: 1050
Joined: July 1st, 2016, 3:58 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

Smaller c/44 if you are looking for the smallest examples:

Code: Select all

``````x = 5, y = 3, rule = B2-ac3aceik5cjry6-a/S23-akn4
o3bo\$obobo\$bobo!
``````
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

I mean c/42.