Roommates

[635318657]

Here's Roommates, a 3-state outer-totalistic von Neumann neighborhood rule that I invented:

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x = 0, y = 0, rule = Roommates
!
@RULE Roommates
@TABLE
n_states:3
neighborhood:vonNeumann
symmetries:permute
var a = {0,1,2}
var b = a
var c = a
var d = a
var e = a
0,1,1,0,0,1
0,2,0,0,0,1
1,1,1,0,0,2
1,2,0,0,0,2
2,1,0,0,0,2
2,1,1,0,0,2
2,2,0,0,0,2
a,b,c,d,e,0

This rule is very active but nowhere near explosive. Here's a two-cell 165-gen methuselah:

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x = 2, y = 1, rule = Roommates
BA!

Ash can burn for a long time. Here's a 1616-gen methuselah to illustrate this:

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x = 9, y = 11, rule = Roommates
8.B10$BA!

Here’s a 3c/10d failedrep:

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x = 3, y = 1, rule = Roommates
ABA!

This rule contains six common oscillators:

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x = 51, y = 7, rule = Roommates
37.A$38.A$A8.A8.A.A5.2A11.A$.A6.A.A6.A7.AB.A5.A5.A8.2B$9.A8.A.A6.B7.A
13.AB$36.A$37.A!

These oscillators can interact in various ways.

This rule, unfortunately, has no known spaceships.

One interesting thing about this rule is how it can form long "tails" of ash expanding far outside the original bounding box, like in the following soup:

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x = 31, y = 31, rule = Roommates
2A.A.6A.6A4.2A.A.A.2A$3A11.A3.2A4.3A3.A$2.3A2.5A.3A2.2A2.3A5.A$4A.2A.
A3.A5.A2.A2.3A.A.A$.2A.A.A2.2A7.2A2.2A$3A.A4.A5.2A.2A.2A2.2A$.2A.A2.2A
.A2.2A2.A.2A.2A.A.2A$4A3.A.A.4A3.A.3A.3A2.A$A.A3.2A.A2.2A3.3A3.3A.3A$
7.4A.3A.A.2A4.A.2A$.2A.3A.2A3.A3.4A.3A.A.3A$.2A3.A.3A.2A2.A2.3A.2A.3A
.A$.2A2.A.4A3.A.4A6.4A$.A.4A.2A.A.2A3.4A3.4A$.5A3.A4.3A6.2A.2A.2A$2.2A
.A2.A.A.A.A2.3A.A.2A.2A.2A$.2A13.A3.5A.A.A.A$4A2.A7.A.2A2.A4.2A2.2A$2A
.A.5A5.8A3.4A$3.A4.3A3.2A.A4.A.A.A.2A$A3.3A.A3.A.3A3.A4.2A3.A$2A.10A2.
3A.4A5.3A$3A4.2A.2A2.A.2A2.9A.A$3.A3.4A3.3A.A2.3A.A2.A$2.A2.2A2.A.A.4A
3.A2.A.A.3A$A2.2A.2A3.A2.5A.A3.3A.A.A$3A.A2.A5.2A4.A3.2A.A.3A$.A5.A.2A
2.A.A.2A6.2A2.A$A.2A2.3A2.A.3A.2A2.3A.2A2.2A$.2A4.2A3.A.3A2.3A4.A2.2A
$3A2.A.A.3A3.4A3.3A.A2.2A!

[pifricted]

This rule, unfortunately, has no known spaceships.

Vn neibourhood rules are hard to get a spaceship, because it's hard to get a c/2 move.

I have a c/3 move:

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x = 5, y = 9, rule = VNline2
3A$5B$3A4$3.A$2.2BA$2.BA!

Also, There're five Vn 3 state OT rule have spaceship:
VnLine2 (see above)

Have to triple post.

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#c/6o
x = 7, y = 3, rule = vNtest
3.B$A5BA$2.3B!
@RULE vNtest
@TABLE
n_states:3
neighborhood:vonNeumann
symmetries:permute
var a={0,1,2}
var s=a
var d=a
var f=a
var q={1,2}
var w=q
var e=q
var r=q
0,2,0,0,0,1
0,1,1,0,0,1
1,1,1,0,0,2
a,q,w,e,a,2
q,w,e,0,0,0
1,a,0,0,0,0

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x = 20, y = 20, rule = VictoryVN
B2.2B.5B.A2.2A.2B$2A2B2.AB2.A.A2.BABAB$2BA4B2.A2.B.BA.BAB$2.B.2A.B.A.
A.B3.A$B2A.B2.AB2.2B.2A.B.A$.AB4.2BA2B.B2.B2.A$4.B2.B.3A2.B2.A$AB.B3.
B2.B.4A2.A$2.B.B.2A5.A2.4A$2.B.A.A2B.B.A2.2A2B$2.AB2.2A.BA.BAB2.3B$AB
.3A.2BAB.3B.A.A$A.BA.B3.A.A.2A2.2BA$5.AB2A2.2AB2.B.2A$A2.AB3.2A.A2.AB
.B.B$A2.A.2A.A.A.2B5.B$5.A.AB3.A.B4.A$B5.4B2A2B.A$.B.BA8.A2B2.A$3.A.B
3.A.B.BA.3BA!

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x = 20, y = 20, rule = V3k4 mphi
B2ABAB.B6.B.B.B$BA.B.A2.B.B2A2BA.3B$A.2B2A3.B4.3ABA$ABAB.A.2B2A.BAB.A
.A$6.B.B.B.2B2.B$2B2A.B8.B.A2.A$A.ABA.A2B.BA3.B2A.A$3.A.A2.ABAB2A2.BA
.A$.BAB4A.A2B.B5.B$2BA.BA3B3.2B.A.B.B$3A2.AB7.B.3AB$.A3B3A2.BA.AB.2A.
A$2B2.A2.AB.A.A2.A.A$.A.4A2.2B2.B.A.A$2.A6.BA3.B.B.2A$B2.2B2.A.2A.A3.
A.BA$5BA.BA.A2.ABA.BA$BA.B2.2A.B.2B.B3.B$B4.AB.2BA2.B4.B$B.B2A2.B2.2B
.2B2.2A!

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x = 20, y = 20, rule = V3k4 202200222012210V
B2ABAB.B6.B.B.B$BA.B.A2.B.B2A2BA.3B$A.2B2A3.B4.3ABA$ABAB.A.2B2A.BAB.A
.A$6.B.B.B.2B2.B$2B2A.B8.B.A2.A$A.ABA.A2B.BA3.B2A.A$3.A.A2.ABAB2A2.BA
.A$.BAB4A.A2B.B5.B$2BA.BA3B3.2B.A.B.B$3A2.AB7.B.3AB$.A3B3A2.BA.AB.2A.
A$2B2.A2.AB.A.A2.A.A$.A.4A2.2B2.B.A.A$2.A6.BA3.B.B.2A$B2.2B2.A.2A.A3.
A.BA$5BA.BA.A2.ABA.BA$BA.B2.2A.B.2B.B3.B$B4.AB.2BA2.B4.B$B.B2A2.B2.2B
.2B2.2A!

(All of them have B1 or B2 part, aren't they?)