"Extended" Generations rules

For discussion of other cellular automata.
M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

"Extended" Generations rules

Under normal Generations (standard notation S/B/C, a.k.a. survival/birth/"C(?)"), cells are productive or "active" for just one generation, then dormant or "inactive" (and irreversibly so) for C-2 generations until death.

This extension to the concept (conceived on the Discord server by users DigitalCross and later Milo Jacquet) explores the result of changing the amounts of time cells can be active/inactive for, and also of allowing cells to "come back" from inactivity and alternate between being active/inactive an indefinite amount of times before dying.

So the notation decided upon is pretty simple. It's nearly identical to normal Generations notation barring that the last segment specifies ranges of activity/inactivity, starting with the former and then alternating: for example, 23/3/10-8-5 indicates birth on 3 neighbors and survival on 2 or 3, and then that once born a cell will be active for 10 generations, inactive for 8 generations (during which time it will act like a dying Generations cell), then return to activity for 5 generations, then finally die.

A rule cannot have no active states, but it's totally possible to delay things a little by letting cells be born into inactivity; this is notated using a 0 for the first "active" range of states in a rulestring. 23/3/0-8-5, for instance, says that a cell once born will be inactive for 8 generations, active for 5 generations (during which time it'll operate under B3/S23 as above), then die.
This conveniently allows transcription of the "snoitareneG" rule family discussed here. The "sgorF" rule, reverse Frogs, can be notated as 12/34/0-1-1, and normal Frogs (12/34/3) can be notated in turn as 12/34/1-1; in general, a Generations S/B/C rule can be represented here as S/B/1-(C minus 2) and snoitareneG as S/B/0-(C minus 2)-1.

I wrote a Python3 script to generate rulefiles from the above notation as for 83bismuth38's "deficient rules":
Note that the script additionally does accept standard Hensel notation, and that it also uses a slightly different rulestring format in its output; a random bogus rule 2i3/4-ea/0-1-10 would be given the name B4_ea,S2i3,a0_i1_a10. (This is needed as a "safe" notation -- both for Golly rulenames, where hyphens have a special meaning (underscores instead) and for filenames, where slashes can't be used (commas instead))

The script also accepts input in this format, so copy/pasting a rulename from one of the codeblocks below will yield normal results. Have at it!
Last edited by M. I. Wright on February 17th, 2020, 6:34 pm, edited 5 times in total.
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M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: "Extended" Generations rules

Now... the only issue is that, though this is a pretty vast rulespace comprising multiple distinct "kinds" of rules, we just haven't found many interesting ones that aren't basically-or-actually normal Generations rules. The only unique-seeming rules I can say I've come across are /2e3-an/2-15-10-2, which has the below pattern:

Code: Select all

``````x = 5, y = 15, rule = B2e3_an,S,a2_i15_a10_i2
.ABA\$.CDC\$.EFE\$.GHG\$.IJI\$.KLK\$.MNM\$.OPO\$.QRQ\$.STS\$.UVU\$CWXWC\$CpApBpAC
\$FpCpDpCF\$I3.I!``````
...then 4-ia/3/3-10-2-2, which shows some potentially-interesting dynamics; and lastly, the various "stuttering" effects seen in rules with few initial states of activity such as this slow replicator in 34/2e3-an/1-9-2:

Code: Select all

``````x = 3, y = 3, rule = B2e3_an,S34,a1_i9_a2
.K\$J.J\$.K!
``````
There's been some speculation about how best to manipulate the pattern of activity/inactivity, but really nothing concrete yet. I'm bringing this to the forum to see if anything more can come of the idea.
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bprentice
Posts: 638
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: "Extended" Generations rules

M. I. Wright,

Have you looked at this thread?

viewtopic.php?f=11&t=1632#p17185

Brian Prentice

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: "Extended" Generations rules

I had not! I suppose that's more-literally an extension to than a generalization of Generations as this thread's topic is, but it does seem fair to me to apply the term "extended" to both. Thanks for bringing it up.
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wildmyron
Posts: 1343
Joined: August 9th, 2013, 12:45 am

Re: "Extended" Generations rules

A very interesting idea extending the idea of Generations rules. For some reason it took me a while to work out how active cells relate to live cells from Generations until I realised that there is no difference and you can think of the progression of any cell which is born as steadily progressing through the allowed states and for any of those states denoted as active, the survival rule works by delaying the transition to the next state.

Comparison with sgorF seems to show that there is an error in the ruletable posted by Saka, namely that nascent (or inactive) cells are contributing to the neighbour count of live cells.

As you say, the space of possible rules has exploded and it's pretty difficult to intuitively meander to an interesting part of the rulespace. I thought it might be interesting to look at the impact on LongLife which has chaotic activity but seemingly no option for bounding diamond escape, despite the presence of B34. Adding an extra active state (i.e. B345/S5/a2) provides ample opportunity for unbounded growth (too much) and adding extra inactive states dampens it down again. The first sweet spot I found was with B345/S5/a3-i3. It has behaviour very similar to Brian's Brain, but with a c/2 speed limit.

Code: Select all

``````x = 3, y = 3, rule = B345,S5,a3_i3:T1001,1001
3A\$A.A\$3A!``````

Code: Select all

``````x = 4, y = 4, rule = B345,S5,a3_i3:T1001,1001
A\$3A\$A.2A\$3A!``````
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bprentice
Posts: 638
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: "Extended" Generations rules

I use a 'rule table', 'neighbor weights table' and a 'state weights table' to experiment with Generations variants. Here are three example dialogs:

Snake
Snake.png (81.57 KiB) Viewed 4039 times
Star Wars
Star Wars.png (95.49 KiB) Viewed 4039 times
Walled Cities
Walled Cities.png (104.43 KiB) Viewed 4039 times
The dialog is used to display and modify the rule's parameters.

The 'rule table' is used to select the cell's new state. The table's rows are indexed by the cell's state and it's columns are indexed by the weighted neighbor count.

The 'neighbor weights table' is used to select and weight the participating neighbors.

The 'state weights table' is used to determine which states participate in the count.

An options dialog is used to specify the rule table size and the new rule generating parameters.

The Java step function is:

Code: Select all

``````  public int step(int r, int c)
{
int cell = squareCell.getNeighbor(r, c);
int count =
stateWeights[squareCell.getNeighbor(r - 2, c - 2)] * neighborWeights[0][0] +
stateWeights[squareCell.getNeighbor(r - 2, c - 1)] * neighborWeights[0][1] +
stateWeights[squareCell.getNeighbor(r - 2, c    )] * neighborWeights[0][2] +
stateWeights[squareCell.getNeighbor(r - 2, c + 1)] * neighborWeights[0][3] +
stateWeights[squareCell.getNeighbor(r - 2, c + 2)] * neighborWeights[0][4] +

stateWeights[squareCell.getNeighbor(r - 1, c - 2)] * neighborWeights[1][0] +
stateWeights[squareCell.getNeighbor(r - 1, c - 1)] * neighborWeights[1][1] +
stateWeights[squareCell.getNeighbor(r - 1, c    )] * neighborWeights[1][2] +
stateWeights[squareCell.getNeighbor(r - 1, c + 1)] * neighborWeights[1][3] +
stateWeights[squareCell.getNeighbor(r - 1, c + 2)] * neighborWeights[1][4] +

stateWeights[squareCell.getNeighbor(r    , c - 2)] * neighborWeights[2][0] +
stateWeights[squareCell.getNeighbor(r    , c - 1)] * neighborWeights[2][1] +
stateWeights[cell                                ] * neighborWeights[2][2] +
stateWeights[squareCell.getNeighbor(r    , c + 1)] * neighborWeights[2][3] +
stateWeights[squareCell.getNeighbor(r    , c + 2)] * neighborWeights[2][4] +

stateWeights[squareCell.getNeighbor(r + 1, c - 2)] * neighborWeights[3][0] +
stateWeights[squareCell.getNeighbor(r + 1, c - 1)] * neighborWeights[3][1] +
stateWeights[squareCell.getNeighbor(r + 1, c    )] * neighborWeights[3][2] +
stateWeights[squareCell.getNeighbor(r + 1, c + 1)] * neighborWeights[3][3] +
stateWeights[squareCell.getNeighbor(r + 1, c + 2)] * neighborWeights[3][4] +

stateWeights[squareCell.getNeighbor(r + 2, c - 2)] * neighborWeights[4][0] +
stateWeights[squareCell.getNeighbor(r + 2, c - 1)] * neighborWeights[4][1] +
stateWeights[squareCell.getNeighbor(r + 2, c    )] * neighborWeights[4][2] +
stateWeights[squareCell.getNeighbor(r + 2, c + 1)] * neighborWeights[4][3] +
stateWeights[squareCell.getNeighbor(r + 2, c + 2)] * neighborWeights[4][4];
if ((count >= 0) && (count < noCounts))
{
return ruleTable[cell][count];
}
return 0;
}
``````
In addition to the dialog, functions are provided to generate new Generations or Random rule tables.

To convert interesting rules to run on Golly, I use RuleTreeGen.java in Golly/Rules/TreeGenerators.

Brian Prentice
Last edited by bprentice on November 26th, 2018, 8:25 am, edited 1 time in total.

dani
Posts: 982
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

Re: "Extended" Generations rules

@bprentice I think this thread is about a specific type of extended Generations rules, as given by the OP.

I find the B345/S5 variants quite interesting. Maybe Star Wars could yield interesting results when put under some extension.
moose#0915

AforAmpere
Posts: 1077
Joined: July 1st, 2016, 3:58 pm

Re: "Extended" Generations rules

danny wrote: I find the B345/S5 variants quite interesting.
Yeah, 5/345/3-3 is pretty neat, it kind of acts like a better version of Bloomerang:

Code: Select all

``````x = 3, y = 3, rule = B345,S5,a3_i3
3A\$3A\$3A!
``````

Code: Select all

``````x = 15, y = 25, rule = B345,S5,a3_i3
6\$6.ACE\$6.BCD\$5.ACEDA\$5.BDFEBA\$4.ACE.ECB\$4.BCF.F2CA\$3.ABDE.ED2B\$3.AB
2D.FECA\$4.BDCA\$4.A2CF\$5.BDF\$5.ACE\$6.BCE\$6.ACE!
``````

Code: Select all

``````x = 7, y = 12, rule = B345,S5,a3_i3
3.BDF\$2.A2CF\$2.BDC\$.ACECA\$.BDFDBA\$ABCFC2B\$ABCFC2B\$.BDFDBA\$.ACECA\$2.BD
C\$2.A2CF\$3.BDF!
``````
EDIT, here's a strange pattern in /345/2-1:

Code: Select all

``````x = 606, y = 440, rule = B345,S,a2_i1
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A4.BC5.C4.CAC3.C.A.C15.C4.A.2B.CB3.CAB.BC7.B2.BC15.A3.A5.C4.B2.A8.B2.
A2CA4.B6.A.2B3.B4.A.C4.A.A4.B.2B11.B8.A4.A7.AC5.A.CB.C7.C.BCA.C2BC.A
4.CB2.C7.B10.C9.A3.2B6.A.C2.C7.C.A8.A.C3.AB2.C4.B3.C2.B.CB5.AB4.B4.C
3.CB4.A8.AB3.2ACBCB4.C.C.BAB6.A3.C3.A2.A2.B.B6.B2.B2.B.A4.A\$2.A3.C.B
4.BA.B.B.A.C3.B2.C4.B3.BC3.B2.BC.BA5.C.B4.B8.C2.BC6.B.B4.A.C6.CBA2.AB
5.CAB2.C2.CA2.C3.B.C3.B2C2.A.BA2.A3.2AC2A8.B.C.CB.B8.B.B7.B.B.C2.A3.C
A2.A4.B4.A2.A2.2C2B9.2B2.C2.A12.2B.C7.B3.BA.B.2B5.B3.A2.A.A9.B6.C.B.A
C12.CA5.2C7.A2.A6.A2.B4.C.A4.C2.C10.C4.2BAC3.B3.B5.2A4.C13.C10.B.CA2.
B6.A6.C2.2C2.B2CA5.C2.B4.BA3.B.B4.A7.A.B5.A6.2A2.C2.AC3.B.CA3.C.BA5.
2A5.C5.A2.C4.A3.B2AB3.B.A2.C4.A3.B2.B.AC2.2C3.ACA2.C.AB\$2.B3.A3.B.C
10.A3.AC3.A6.C2.C.B7.AC4.2A3.3B2.B2.A2.AC.C3.A5.A.A4.B5.C.B3.C2BA2C4.
B3.B2.CA2.B.C5.A.2A2.A.C2.B.CA2.B4.AC2BCA5.CB.CB4.B11.ABC2.B2.BABA.C
5.2C6.2A2.B.A.A.C3.A2.B12.A3.BC.B.A.AB.CBA4.B2.C2.B6.2BA.CB5.B8.C3.A
2B.A9.A3.C3.C2.C2.BC2.2A11.B3.B3.A3.BC3.B2.B.BAC6.C2.C.2AC.CA4.A3.C2.
BA.CB2A2.CB.B9.A3.C3.C.A4.B2.B4.B4.C8.C5.A2.A2.CB3.B.B5.B2.A4.AC2.A7.
A.B.A2.CA7.B.B6.A2.B3.C2.B2.B.C3.C5.A2.C.B5.B2.C5.B6.A3.A2C.B.C.A.A2B
\$.2A5.C11.A3.C8.C.A.B.A5.B4.B4.B.C2.A2.C2.C.C.B3.BA7.C6.C3.B4.B.A6.B.
A2.A2.A6.BA5.C.A.AC4.A.A.AC2.A2.2B5.C.ACA.C2.B4.C.A5.C2.B.2A.C.C2.2B
6.B.A10.A11.B.C7.BC.B2.A.A6.AC.B.CA4.B3.2C.C3.A.A.2C.B5.B2.2A2.C.B.A
4.A.A4.AB3.C8.2C2.C4.A3.A8.B2.A16.C2.2B4.B2AC.C.B.B3.2ACB9.AB3.A.B5.C
2.A2.A13.A.C6.B4.B5.A.A2.A.C2.C.A4.A3.B3.C3.A.C.BA.BCA7.CB2.3CB4.C2A.
BC2.A2.3C.BA4.AC2.B4.AB2.C7.A3.AB2.A4.C2.B3.A2.C.C7.A4.B2.A3.BA.A2.B\$
2C2.A.B8.B.B.A2C2.C9.B3.B.BC2.CB2C4.B5.B3.2B2.BC.C.C3.2A11.A.C2.C.AC.
C5.BA7.A6.B2.A4.2CB.A5.2A4.B3.C3.C2BC18.A.B2.A.B8.2C4.B3.C3.2A.B5.C.B
2.C5.A4.A.B.C3BC3.B.C.A4.A3.2BA3.C3.A3.2C.C.C2.AC10.A.A4.A3.C6.BCBA2.
BC4.A.B2.B9.B4.BAB3.ABC.B.C2.C3.A3.C.B3.C.BC8.2CB.C.C2.B6.B6.ACA5.A.B
AC3.BA4.C2.CBA.CA5.A4.CA.BA3.AB3.B.C5.C2.C7.CA.3CA7.C.BAC3.B2.A.C3.BC
11.AC.C.CA2.2C5.B5.BA.A.C3.A3.A.B.2C.CACA4.A3.B.A2.C.A.B7.BA.C3.C7.A!
``````
Neat reaction:

Code: Select all

``````x = 112, y = 115, rule = B345,S,a4_i4
12.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH\$11.ACEG8.ACEG17.B
DFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG\$11.BDFH8.BDFH16.ACEG4.BDFH3.ACEG
13.BDFH6.BDFH6.BDFH\$10.ACEG8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.AC
EG\$10.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH\$9.ACEG8.ACEG
17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG\$9.BDFH8.BDFH16.ACEG4.BDFH3.ACE
G13.BDFH6.BDFH6.BDFH\$8.ACEG8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.AC
EG\$2.AB4.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH\$2.CEF2.ACEG
8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.A\$2.DG3.BDFH8.BDFH16.A
CEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.B\$3.H2.ACEG8.ACEG17.BDFH3.ACEG4.
BDFH12.ACEG6.ACEG6.ACEG16.AC\$6.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.
BDFH6.BDFH16.BD\$5.ACEG8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.
ACE\$5.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDF\$4.ACEG8.
ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG\$4.BDFH8.BDFH16.ACEG
4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH\$3.ACEG8.ACEG17.BDFH3.ACEG4.BDF
H12.ACEG6.ACEG6.ACEG16.ACEG\$3.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.B
DFH6.BDFH16.BDFH\$2.ACEG8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG
16.ACEG\$2.BDFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.A\$.
ACEG8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.B\$.BDFH8.BDF
H16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.AC\$ACEG8.ACEG17.BDFH3.
ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BD\$BDFH8.BDFH16.ACEG4.BDFH3.ACE
G13.BDFH6.BDFH6.BDFH16.BDFH.ACE\$CEG8.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.
ACEG6.ACEG16.ACEG2.BDF\$DFH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDF
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BDFH\$FH8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG\$G8.AC
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4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG\$8.ACEG17.BDFH3.ACEG4.BDFH
12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH\$8.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BD
FH6.BDFH16.BDFH.ACEG\$7.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.A
CEG2.BDFH\$7.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG\$6.
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4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG\$5.ACEG17.BDFH3.ACEG4.BDFH
12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.A\$5.BDFH16.ACEG4.BDFH3.ACEG13.BDFH
6.BDFH6.BDFH16.BDFH.ACEG5.B\$4.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.A
CEG16.ACEG2.BDFH4.AC\$4.BDFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.B
DFH.ACEG5.BD\$3.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDF
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2.ACEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$2.BDF
H16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$.ACEG17.BDF
H3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$.BDFH16.ACEG4.BDF
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6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$CEG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.A
CEG16.ACEG2.BDFH4.ACEG\$DFH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BD
FH.ACEG5.BDFH\$EG17.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.
ACEG\$FH16.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$G17.B
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3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$17.BDFH3.ACEG4.BDFH12.ACE
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15.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$14.ACEG4.BD
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CEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$13.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.
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2.BDFH4.ACEG\$12.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH
\$12.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$11.ACEG4.B
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6.BDFH16.BDFH.ACEG5.BDFH\$10.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACE
G2.BDFH4.ACEG\$9.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH
\$9.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$8.ACEG4.BDF
H3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$8.BDFH3.ACEG4.BDFH12.ACE
G6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$7.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDF
H16.BDFH.ACEG5.BDFH\$7.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDF
H4.ACEG\$6.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$6.BDF
H3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$5.ACEG4.BDFH3.ACE
G13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$5.BDFH3.ACEG4.BDFH12.ACEG6.ACE
G6.ACEG16.ACEG2.BDFH4.ACEG\$4.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BD
FH.ACEG5.BDFH\$4.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACE
G\$3.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$3.BDFH3.ACE
G4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$2.ACEG4.BDFH3.ACEG13.BD
FH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$2.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACE
G16.ACEG2.BDFH4.ACEG\$.ACEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG
5.BDFH\$.BDFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$ACEG4.
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EG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$CEG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH
16.BDFH.ACEG5.BDFH\$DFH3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.A
CEG\$EG4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$FH3.ACEG4.BDF
H12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$G4.BDFH3.ACEG13.BDFH6.BDFH6.B
DFH16.BDFH.ACEG5.BDFH\$H3.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.
ACEG\$4.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$3.ACEG4.BDFH
12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$3.BDFH3.ACEG13.BDFH6.BDFH6.BDF
H16.BDFH.ACEG5.BDFH\$2.ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACE
G\$2.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$.ACEG4.BDFH12.ACE
G6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$.BDFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDF
H.ACEG5.BDFH\$ACEG4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$BDFH3.A
CEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$CEG4.BDFH12.ACEG6.ACEG6.ACEG
16.ACEG2.BDFH4.ACEG\$DFH3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$EG
4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$FH3.ACEG13.BDFH6.BDFH6.B
DFH16.BDFH.ACEG5.BDFH\$G4.BDFH12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$H
3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$4.BDFH12.ACEG6.ACEG6.ACEG
16.ACEG2.BDFH4.ACEG\$3.ACEG13.BDFH6.BDFH6.BDFH16.BDFH.ACEG5.BDFH\$3.BDF
H12.ACEG6.ACEG6.ACEG16.ACEG2.BDFH4.ACEG\$2.ACEG13.BDFH6.BDFH6.BDFH16.B
DFH.ACEG5.BDFH!
``````
A really cool Star Wars variant:

Code: Select all

``````x = 55, y = 9, rule = B2_ek,S345,a1_i3_a1_i3
44.2GA\$.BDEH2B4.H40.2B\$ACG2.CA.G43.2A\$.FH.D\$4.H.H46.H\$3.GH!
``````
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)

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: "Extended" Generations rules

A belated "nice" to AForAmpere and wildmyron re those rules

Here's something perhaps interesting to go down: this rule posted by DigitalCross (xanman12321) is the first I've seen that doesn't completely explode when given more than 2–3 initial active states, which I suppose mostly comes down to its dearth of B3 transitions; in fact, it remains coherent and somewhat interesting even up to a40 or so.

Unfortunately, it loses its signals, even if S4r5i is added to compensate for the extra live states... still, it remains cool-looking on a random soup. Here's a GIF of that with a20-i4:

gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
nutshelltlifeDiscord 'Conwaylife Lounge'

muzik
Posts: 3772
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: "Extended" Generations rules

Pretty tricky to find stable rules in this.

Code: Select all

``````x = 30, y = 26, rule = B3_ek,S345,a1_i3_a1_i3
11.A\$11.A\$11.A\$10.A\$10.A\$10.A\$9.A\$9.A\$9.A\$8.A18.2A\$7.A18.A.A\$5.2A19.A
.A\$4.A20.A3.A\$4.A10.A8.A4.A\$3.A12.A6.A5.A\$2.A13.A4.2A6.A\$.A15.A2.A8.A
\$.A16.2A8.A\$A17.3A6.A\$A16.A3.A4.A\$A14.2A5.4A\$A13.A\$A11.2A\$A9.2A\$A6.3A
\$.6A!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3772
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: "Extended" Generations rules

Can the scripts be made to add colours to different cell types to make them easier to distinguish? Cells starting to be born would be green, which fade to yellow, which is the colour of the alive cell, and as an alive cell starts to die, it fades to red.

As for intermediary states, I'm not sure.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!