Congratulations Tim!
I had a very strong suspicion that there would be stable moving
patterns at the Uskate parameter values in 3D, because stable gliders
exist both in 1D and in 2D at those parameters (see
http://mrob.com/sci/talks/sl23-fig2.png for pictures of each).
Ready is wonderful. Your extensive effort on that program has paid off
with several new discoveries.
> It seems stable but I've only run it in a 64x64x64 volume, and not
> done any tests on it.
I noticed your glider starts out "diving" at a significant rate, then
levels out by the end of the movie. I suspect this is a grid effect
that would vanish with a more precise (but much slower) simulation.
> It's not really a surprise that 3D gliders exist but as far as I know
> this is the first one we've found.
It has been done with 3 chemicals:
C. P. Schenk, A. W. Liehr, M. Bode, and H.-G. Purwins,
"Quasi-Particles in a Three-Dimensional Three-Component
Reaction-Diffusion System", 1999.
http://www.uni-muenster.de/Physik.AP/Purwins/RD/Literatur/hlrs1999.pdf
... but this is the first I know of using just 2 chemicals.
> In shape it is just the standard 2D
> U-skater but stabilised with 3 blobs. I'm sure there are lots of other
> 3D gliders around too, given the variety we see in the 2D world:
>
https://www.youtube.com/watch?v=F5oKgVZ6bTk
I suspect the most common type of movement for 3D gliders will be
along a helical path. We should also get the things we see in 2D:
still-lifes, rotators, things that move in a straight line without
rotating (like your glider) and things that move in a circular path.
--
Robert Munafo --
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