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Hm... That's a new idea - I haven't thought before of looking at my formula like at non-orthogonal slice of other automations. May be I'm not getting it, but wouldn't angle of this slice be different for even and odd time in my formula? I'm trying to imagine it and for me feels like it should be ...

Thank you Enjoy yourself with tweaking this thing and please give me a notice if you'll find something interesting. I know, this is very far from usual CA-s, with anisotropy and "long-range interaction". But may form interesting evolution with simple ruleset too.

A year ago I posted here one new formula I haven't seen before:

http://www.conwaylife.com/forums/viewtopic.php?f=11&t=440

Unfortunately, I was distracted away by some life events. But recently I came back to this idea and forced myself to write working implementation. Here it is for your ...

You can attach any ZIP to this board using the 'Upload attachment' tab.

My fault, sorry. Attaching now.

Damn google. Looks like it is paranoid about trojans. Anyone knows, where can I host small archive with ".jar" inside without registration? I see no attach file function on this board

Damn google. Looks like it is paranoid about trojans. Anyone knows, where can I host small archive with ".jar" inside without registration? I see no attach file function on this board

Unfortunately, that's not a cellular automaton, as each generation should depend only on previous generations, not on other cells in the current generation. In fact, on an infinite grid, your system cannot be simulated by a Turing machine

Yes, I do know, because of this I'm not calling it ...

This is selected screenshots of one evolution in 400x400 field starting from random pattern (3 states - Red, Green and Blue):

http://i50.tinypic.com/35li7p2.png
http://i45.tinypic.com/f02rn7.png
http://i49.tinypic.com/2em1p9e.png
http://i48.tinypic.com/sy2mpz.png

Implementation will follow ...

Hello, all.

I need your help in understanding if I have found something new or it is allready known thing. Generic formula for this 2d-something is pretty simple:

s(2t,x,y) = δ( s(2t-1,x,y) , s(2t,x-1,y) , s(2t,x,y-1) )
s(2t+1,x,y) = δ( s(2t,x,y) , s(2t+1,x+1,y) , s(2t+1,x,y+1) )

where s(t,x,y ...