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I and several computers are increasingly preoccupied surveying similar "growth shoulder" mechanisms found across some but far from all rules of the form WMPVN-45678x/459/n, where x indicates the presence or absence of c (12). It is still too early to try to report anything comprehensive, but the rul...

Re the "unrelated orthogonal growing spaceship" in C5 there are also some easily found small seeds which produce a fractal explosion thereof, including: x = 10, y = 9, rule = 02378/345/5 3.A$2.3A$.2A2CA$.A2.CBA$AD2.ABA$AC2A.3A$.2ACD2.2A$4.D2.2AC$8.2D! which are quite the exception in a rule which mo...

I'm sure they are common enough in Star Wars and similar rules, but it had reached the point a month or so ago, I almost posted here asking if anybody had found a rotating gun in a B3 rule because it was the one relatively simple possibility I hadn't found in two years looking mostly at Generations ...

Slowly accumulating more systematic coverage of a target millionth part the WMPVN rule space, for the past couple of months mostly focused on WMPVN-45678b_45abx_20-31 (x indicates presence or absence of c) which looks like a representative subset to do manageable comparisons with, and finding a dive...

I'm having trouble using the Perl script that makes these intermediate rules. I keep getting this error message: "max states is not a positive integer at [path]\makeWMPVNruletrees.pl line 42" That message is triggered by an early test for validity of the parameter string, so it is possible that it ...

Minimum seed. Ran 75 minutes at 8^1 on my older 24" iMac.

http://www.wmpvn.com/45678xx_45xxxx/_bc_20/images/signals.png This is posted for the benefit of those who might want to try using it for signal processing. The signals and blocking operate on double and single tracks across a range of similar rules, but I can't give priority to identifying the full...

(A) rather interesting ship found on 45678_45b_8: I'd only just found as analogous ship in _28 but a version with a persistent asymmetry in its trailing debris which I thought hinted at the existence of a symmetric version like you found. And I've since only done a minimal survey which shows that t...

The attached seed is a p2x1y5t ship in born 45b, 45bc, 45ab, 45abc for all state counts greater than 7. An analogous p4x2y10t form works for state count 7.

I seem to recall that this doesn't actually asymptotically approximate a perfect circle In the very long term you must get c/2 common spaceship collisions in the diagonal corners seeding new small circles so the total pattern will eventually diverge from circular. As the circle radius grows at just...

but the Euclidean metric doesn't really mean much in a Moore neighborhood. Another counter example (you might need to View Image to see the right hand section): http://www.thewildca.com/adjacentrules/345_3_asym-30000wCircle.png This shows B3/S345 run to 30,000 iterations from a small asymmetric see...

This has to be seen to be believed: SinnerG.zip Just when I was congratulating myself on finally putting to bed the last renderings of my two years work work with Generations 345/3/6, aka LOTE, a pattern appeared which is already wallpaper . Still in the relatively early stages of exploring my LOTE-...

Pattern Breeder is a generalisation into arbitrary (initially up to 7x7) neighbourhoods of the Fredkin automata. Making use of QuickDraw's support for XORing bitmaps, it was released at San Francisco Macworld Expo in 1986 and described in the cover story of that September's Scientific American. Thin...

Wow, those are quite some finds. /4 further muddies what I had assumed might be a clearer distinction between replicators and space fillers, with that one pattern seemingly the only one that stays active which it does by forming more copies of itself, but not always the same way. I guess at one leve...

137ben wrote:Cool, could you make one for python as well?

Perl is like prostrate cancer. Us old programmers mostly die with it, not from it.

All I know about python (Warning 15Mb animation.)

All done with a pair of Perl scripts. The first creates rule tree files for W1 through W255 (odd only): #!/usr/bin/perl # Create Wn.trees for odd numbered Wolfram 1D Rules 1-255 # by Tony Smith, Meme Media, Melbourne, Australia, January 2011 # extends Golly/Rules/TreeGenerators/RuleTreeGen.pl # usin...

When I'm searching the rule spaces identified above I have a basic model of what I'm looking for from a viable small seed over of order 100,000 iterations: a slowly growing chaotic core with streams of common ships radiating like compass points, four NSEW with common symmetric and asymmetric c/2 shi...

knighlife, your "clean K-puffer K-rake" particularly appeals to me. I just found that a slight rule change also turns the original K-puffer engine into a K-ship: x = 14, y = 13, rule = 345/378/4 C5$11.A$10.3A$10.ABA$11.A$10.B.2A$10.BC2A$9.C.3A$10.C! but aren't rushing to explore the obvious adjacent...

If you twist your neck this even looks a bit like an alien spaceship: dsymrakeship.zip And while you've got that rule there, if you want an idea what keeps me watching the screen, just start with its only viable collision between two common c/2 ships: x = 8, y = 39, rule = WMPVN-45678bc_459ab_24 6.W...

Golly supports all even numbered Wolfram rules presenting successive iterations down the grid and now in 2.2 including bounded or cyclic grids, by setting the rule to something like W22:P35,0 or W110:T36,0. I'm not aware of any method for using rule tables/trees to produce the desirable down the gri...

When I grabbed it I thought it might be a new long period oscillator, but oscar.pl tells me it actually moves. p3s782t.zip I've been excessive here and used Golly's maximum number of colours (256) for the demo zip, giving a speed of 3/782. the generic formula being 3/(3c+14) for any c>16. (I found i...

dragon.zip I'd expected something like this, but nothing so spectacular. Found in the wild from the first seed I ran on for WMPVN-45678bc_459a_23 and cleaned up, hence the zip with the rule tree for _23. The same initial mechanism in _22 produces a comparably elaborate but otherwise very different ...

Leaving blocks every (4, 2) cells period 10, using the same 22 state rule provided in the "intermediate neighbourhood" thread: x = 32, y = 13, rule = WMPVN-45678bc_459a_22 2A20.SR$2A15.2T2.TUQNM$4.2A11.U.2O.UOPLIH$4.2A13.P.2JSPJKGDC$8.2A9.QR KR2ENKEFBA$8.2A7.RQURLMFM2AIF3A$11.R2A2.RSTMLPMGHAH2AD2A$1...

Will you release the RuleTree source code? This code relies on being able to simply derive the rule tree for the next higher number of states which I can only presume will only work for Generations-like states. To generate all the rule trees for _2 through _40 while you blink, enter something like:...

The attached zip contains the tip of the iceberg, even within the tiny corner of weighted Moore plus Von Neumann neighbourhood rules that I'm this week focused on. p260puffer.zip While the pattern shown is largish for a reason which should be obvious, its core puffer engine has already emerged natur...