snoitareneG Rules

[Saka]

Has anybody messed around with snoitareneG rules? These are reverse generations rules, cells take time to be born (but still take up space). I have created 3 snoitareneG rules, but they are all explosive. I made sgorF (Frogs), srallipretaC (Caterpillars), and sraWratS (StarWars).

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@RULE sgorF

@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
0,1,1,1,0,0,0,0,0,2
0,1,1,1,1,0,0,0,0,2
2,a,b,c,d,e,f,g,h,1
1,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,1,1,0,0,0,0
1,1,1,1,1,1,1,0,0,0
1,1,1,1,1,1,1,1,0,0
1,1,1,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

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@RULE srallipretaC

@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
0,1,1,1,0,0,0,0,0,3
0,1,1,1,1,1,1,1,0,3
0,1,1,1,1,1,1,1,1,3
3,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,1
1,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,0
1,1,1,1,1,1,1,1,1,0

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@RULE sraWratS

@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
0,1,1,0,0,0,0,0,0,3
3,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0
1,1,1,1,1,1,1,0,0,0
1,1,1,1,1,1,1,1,0,0
1,1,1,1,1,1,1,1,1,0

[muzik]

c/20 orthogonal, reminds me of the 2x2 c/8 diagonal.

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x = 4, y = 4, rule = sgorF
.B.A$B2.B$3.B$B!

[bprentice]

This topic was discussed here:

viewtopic.php?f=7&t=2036&p=44058#p44055

Brian Prentice

[Rhombic]

"Incubation" rules, I'd say. I won't play around too much with these unless a Rule-Table-generating script is written, but the concept seems interesting. Namely, it would allow rapid death of asymmetric areas while the potentially asymmetric birth area grew, so I'm guessing many of these will have a more strongly pro-symmetric induction compared to regular two-state rules.

[Bullet51]

It is basically the snoitareneG rule B1/S0/sG3/V, but some auxiliary transitions are added in order to prevent explosions.

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@RULE B1S0
@TABLE
n_states:3
neighborhood:vonNeumann
symmetries:permute
var a={0,1,2}
var b={0,1,2}
var c={0,1,2}
var d={0,1,2}
var e={0,1,2}
var f={0,1,2}
var g={0,1,2}
var h={0,1,2}
var i={0,1,2}

var s1={0,2}
var s2={0,2}
var s3={0,2}
var s4={0,2}
var s5={0,2}
var s6={0,2}
var s7={0,2}
var s8={0,2}

0,1,0,0,0,2
#AUX
2,2,2,1,0,0
2,2,2,2,1,0
2,2,0,0,0,0
2,1,0,0,0,0

2,a,b,c,d,1

#AUX
1,2,2,a,b,0

1,1,0,0,0,0
1,1,1,0,0,0
1,1,1,1,0,0
1,1,1,1,1,0
@COLORS
0 0 0 0
1 255 0 0
2 0 255 255

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x = 11, y = 9, rule = B1S0
A4.A.B.A$.A$2.A4.A2.A$3.A4.A$4.A3.A$3.A.A.A$7.2A$4.A$6.A!

[toroidalet]

819-generation methuselah:

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x = 6, y = 5, rule = B1S0
3.A$3.A$A4.A$A2.A$3.A!

7-cell infinite growth:

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x = 6, y = 6, rule = B1S0
4.2A2$A2.A$2.A$A$A!

It's sort of a shame the diagonal wicks can only be destroyed from the endpoints.

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x = 33, y = 28, rule = B1S0
30.A$32.A$32.A6$.2A2$A8$16.B$16.A$15.A$14.A$13.A$12.A$11.A$10.A$9.A$
9.B!

p8 replicator:

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x = 5, y = 4, rule = B1S0
3.A$3.2A$2A$.A!

[fluffykitty]

Please don't name your rules with the same name as Quicklife rules..

[b-engine]

(Sorry for posting at a topic that had been inactive for 7 years)

This should be the 3-state snoitareneG version of Life.

I suggest LifeViewer to support snoitareneG rules using a negative number after the C or G.

Then this is the first rule using this notation, I bet:

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#C This will still works even if LifeViewer supports the notation of "negative generations", possibly after few builds.

x = 3, y = 3, rule = 23/3/-3
.B$2.B$3B!

@RULE 23/3/-3
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a = {0,1,2}
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,1}
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b

0,2,2,2,b,b2,b3,b4,b5,1
2,2,2,b,b2,b3,b4,b5,b6,2
2,2,2,2,b,b2,b3,b4,b5,2

1,a,a2,a3,a4,a5,a6,a7,a8,2
2,a,a2,a3,a4,a5,a6,a7,a8,0

Also someone had thought that he discovered a new rulespace (which is actually snoitareneG)

Generations rules are asymmetric on black/white reversal, instead becoming the black/white reversal of another kind of CA,
Namely GOBWR (Generations On Black/White Reversal) rules.

The idea of GOBWR rules is that cells can't die within n number of generations since it was born, in which n is the number defined in the Generations rulestring.

Example: 012345-i6ac78/12345-ik6a78/3

The black/white reversal of that rule is the same as that for B12345-ik6a78/S012345-i6ac78, but cells can't die immediately after being born.

At least for now, that rule is impossible to achieve through rulestring, so i made a rule table (and tree) for it:
...

[confocaloid]

[...] Also someone had thought that he discovered a new rulespace (which is actually snoitareneG) [...]

Are you sure the two rulespaces are equivalent? Can you give an explicit bijection?

There is one major difference:
In GOBWR rules, cells in the process of being born are treated as alive, and counts toward birth and survival.
In "snoitareneG" rules, cells in the process of being born are treated as dead, and does not counts toward birth and survival.
[...]

[b-engine]

Are you sure the two rulespaces are equivalent? Can you give an explicit bijection?

Well, I'd meant "A variant of snoitareneG".

[confocaloid]

A "variant" that works in a significantly different way is not really a variant.

edit

But if a variant is only some tweak away from the original variant then it still should be called a variant [...]

I guess that depends on whether the consequences of the tweak are considered significant. (E.g. B38/S23 is just one tweak away from B3/S23, but the consequences of that tweak are fairly obvious: b38s23/C1)

[b-engine]

A "variant" that works in a significantly different way is not really a variant.

But if a variant is only some tweak away from the original variant then it still should be called a variant (like you call that EightLife is a variant of Life). The *only* difference between the 2 rulespace is that a birthing cell is treated as on in one rulespace and off in another (snoitareneG rulespace).

EDIT:

I guess that depends on whether the consequences of the tweak are considered significant. (E.g. B38/S23 is just one tweak away from B3/S23, but the consequences of that tweak are fairly obvious: b38s23/C1)

I think a variant doesn't require the variant to have only minor consequences, but must have only minor changes.