Pass the Ruletable

[confocaloid]

Edit 2: Applied the 1c+1e and 4q+4t corrections. Now I'm getting 950, which is still apparently four short of what I should be getting.

Here is what I'm getting for the number of conditions(*), counting separately by the number of nonzero neighbours:

Code: Select all

>>>> [ len(set(canon(t) for t in it.product(range(3), repeat=8) if nnz(t) == m)) for m in range(10) ]
[1, 4, 20, 68, 162, 248, 256, 144, 51, 0]
>>>> sum(_)
954
>>>>

(*): three-state isotropic with range-1 Moore neighbourhood, ignoring the current state of the middle cell

[Aleph]

Edit 2: Applied the 1c+1e and 4q+4t corrections. Now I'm getting 950, which is still apparently four short of what I should be getting.

Here is what I'm getting for the number of conditions(*), counting separately by the number of nonzero neighbours:

Code: Select all

>>>> [ len(set(canon(t) for t in it.product(range(3), repeat=8) if nnz(t) == m)) for m in range(10) ]
[1, 4, 20, 68, 162, 248, 256, 144, 51, 0]
>>>> sum(_)
954
>>>>

(*): three-state isotropic with range-1 Moore neighbourhood, ignoring the current state of the middle cell

Thank you for that: now I know that my missing neighborhoods are happening somewhere in 4x.
EDIT: It's in 4i+4w. I'm missing these:

Code: Select all

x = 7, y = 2, rule = LifeSuper
U.U.W.W$WFW.UFU!

[confocaloid]

Code: Select all

[1, 4, 20, 68, 162, 248, 256, 144, 51, 0]

Thank you for that: now I know that my missing neighborhoods are happening somewhere in 4x.

If it helps, here are the counts separately for every ordered pair (o, d) where o is the number of nonzero orthogonal neighbours and d is the number of nonzero diagonal neighbours (the output formatted manually to add newlines and whitespace):

Code: Select all

>>>> [ len(set(canon(t) for t in it.product(range(3), repeat=8) if nnz2(t) == m)) for m in it.product(range(5), repeat=2) ]
[1,  2,   6,   6,  6,
 2,  8,  28,  32, 20,
 6, 28,  86, 104, 64,
 6, 32, 104, 128, 72,
 6, 20,  64,  72, 51]
>>>> sum(_)
954
>>>>

Here are the counts separately for every ordered pair (n1, n2) where n1 is the number of state-1 neighbours and n2 is the number of state-2 neighbours:

Code: Select all

>>>> [ len(set(canon(t) for t in it.product(range(3), repeat=8) if nnz3(t) == m)) for m in it.product(range(9), repeat=2) ]
[ 1,  2,  6, 10, 13, 10, 6, 2, 1,
  2,  8, 24, 38, 38, 24, 8, 2, 0,
  6, 24, 60, 76, 60, 24, 6, 0, 0,
 10, 38, 76, 76, 38, 10, 0, 0, 0,
 13, 38, 60, 38, 13,  0, 0, 0, 0,
 10, 24, 24, 10,  0,  0, 0, 0, 0,
  6,  8,  6,  0,  0,  0, 0, 0, 0,
  2,  2,  0,  0,  0,  0, 0, 0, 0,
  1,  0,  0,  0,  0,  0, 0, 0, 0 ]
>>>> sum(_)
954
>>>>

[unname4798]

I made a new branch. Rules are the same as in the first branch.

Rotate4Reflect now:

Code: Select all

#C [[ RANDOMIZE ]]
#R collab1_1
!
@RULE collab1_1
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
a,b,c,d,e,f,g,h,I,0

Edit: Every turn, change the number at the end of the rule name by 1.
Edit 2: you can make 3 modifications every turn, instead of one because with multistate rules and rotate4reflect, it’s going to be pretty slow with just one modification every turn. Declaring variables does not count as a modification.

ONLY I CAN CHANGE RULES IN THIS BRANCH!

Code: Select all

#R collab1
!
@RULE collab1
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
0,1,a,b,c,d,e,f,g,2 # unname4798, turn 1
a,b,c,d,e,f,g,h,I,0

[confocaloid]

ONLY I CAN CHANGE RULES IN THIS BRANCH!

Even if those RULES are part of a multistate ruletable?

[unname4798]

ONLY I CAN CHANGE RULES IN THIS BRANCH!

Even if those RULES are part of a multistate ruletable?

Number of states, neighborhood and symmetries don't change.
Unrelated:
LifeViewer doesn't work in Golly Browser for mobile, despite it having ECMAScript version 2020-06

[unname4798]

I made a new branch. Rules are the same as in the first branch.

Rotate4Reflect now:

Code: Select all

#C [[ RANDOMIZE ]]
#R collab1_1
!
@RULE collab1_1
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
a,b,c,d,e,f,g,h,I,0

Edit: Every turn, change the number at the end of the rule name by 1.
Edit 2: you can make 3 modifications every turn, instead of one because with multistate rules and rotate4reflect, it’s going to be pretty slow with just one modification every turn. Declaring variables does not count as a modification.

ONLY I CAN CHANGE RULES IN THIS BRANCH!

Code: Select all

#R collab1
!
@RULE collab1
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
0,1,a,b,c,d,e,f,g,2 # unname4798, turn 1
a,b,c,d,e,f,g,h,I,0

Code: Select all

#R collab1
!
@RULE collab1
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
2,1,1,2,a,b,c,d,e,1 # unname4798, turn 2
0,1,a,b,c,d,e,f,g,2 # unname4798, turn 1
a,b,c,d,e,f,g,h,I,0

Turn 3:

Code: Select all

#R collab1
!
@RULE collab1
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
1,2,2,2,a,0,0,0,0,1 # unname4798, turn 3
2,1,1,2,a,b,c,d,e,1 # unname4798, turn 2
0,1,a,b,c,d,e,f,g,2 # unname4798, turn 1
a,b,c,d,e,f,g,h,I,0

[confocaloid]

I think the next logical step would be something along the lines of "NOBODY CAN CHANGE RULES IN THIS BRANCH" (or thread).

ONLY I CAN CHANGE RULES IN THIS BRANCH!

Even if those RULES are part of a multistate ruletable?

Number of states, neighborhood and symmetries don't change.
Unrelated:
LifeViewer doesn't work in Golly Browser for mobile, despite it having ECMAScript version 2020-06

[hotcrystal0]

Turn 3:

Code: Select all

#R collab1
!
@RULE collab1
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
1,2,2,2,a,0,0,0,0,1 # unname4798, turn 3
2,1,1,2,a,b,c,d,e,1 # unname4798, turn 2
0,1,a,b,c,d,e,f,g,2 # unname4798, turn 1
a,b,c,d,e,f,g,h,I,0

Turn 4:

Code: Select all

x = 20, y = 20, rule = collab1
A7.2A4.A3BAB$.3B.2B.2AB3.B.A2.A$.B2.BA2B2.B.3BAB.B$BA.A.3B2A.3A4.AB$A
4.B3.2B4AB$.B.BAB3.B2A.B.B3A$A.B3.AB.A.2B.B.2A$2A.AB2.AB.BA2B.B$2BA.2B
2.A.A2B2A4.B$A2B.2B.BA2.BA.2AB.A$A2.A2.B2.B.2BA.B.B.B$2.2A.4A.A2.2A.A
$B2.A2B.A3B2.A.3AB$2A.A2.2B.2AB.A2.B2AB$.2B3.B3.2B2A4BA$3.B.A2BAB.B.A
2B3.A$.B.B2A.BAB.B5.BAB$3.2B2A.BA.2ABA.BA2B$B.2B.A4.3B2.3B.A$A.A.A.3B
A5.B2.2A!
@RULE collab1
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var I=a
1,2,2,2,2,2,0,0,0,2 # hotcrystal0, turn 4
1,2,2,2,a,0,0,0,0,1 # unname4798, turn 3
2,1,1,2,a,b,c,d,e,1 # unname4798, turn 2
0,1,a,b,c,d,e,f,g,2 # unname4798, turn 1
a,b,c,d,e,f,g,h,I,0