#MCell 2.0
#GAME Cyclic CA
#RULE R5/T15/C6/NM/GH
#BOARD 120x120
#SPEED 0
#WRAP 0
#D 
#D Dynamic Formation of a 3-strand Spiral
#D ======================================
#D 
#D      Some excitable CA dynamics make tightly-knit spirals, whereas the
#D rule of macaroni.xpt forms pasta parades. The former behavior occurs when
#D the excitation threshold is sufficiently low that wave ends can wrap
#D easily, whereas macaroni results from an inability of wave fragments to
#D bend into viable spiral cores. There is a delicate intermediate regime in
#D which wave ends bend, but only with great difficulty. In this case a
#D single wave strand is unable to make a tight spiral core, but interaction
#D between several wave ends may give rise to a multi-stranded spiral. Since
#D such an arrangment requires fortuitious interaction, these exotic stable
#D periodic objects tend to form dynamically, often after hundreds or even
#D thousands of cell updates.
#D 
#D      The present movie shows a Greenberg-Hastings Model with range 5 Box
#D neighbor set, threshold 15, and 6 colors. Starting from a predetermined
#D uniform random soup, and using 0 boundary conditions, a vortex forms by
#D time 400 and then a multi-stranded spiral takes shape over the next few
#D hundred updates. Finally, at about time 900, the spiral locks into a
#D final stable periodic core with minimal period 6. On a very large or
#D infinite array such structures eventually displace any weaker vortices
#D and disordered regimes.
#D 
#D David Griffeath
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