Catalog of Patterns at F=0.0620, k=0.0609
Most of these patterns of very similar alternatives are stable at many F,k combinations within the narrow strip I call "U-Skate World". For a detailed account of the fundamental properties of the Gray-Scott system at these parameters, read my paper.
For other great Gray-Scott pictures, and lots of movies, plus a general discussion of the model equations and more, go to the xmorphia main menu.
These patterns were discovered between 2009 March 22nd and 2009 May 7th.
First row, left to right: halftarget 3-1-0-4; halftarget 4-1-0-3; Big Aleph; target 2x4 + 1 + 1far; Daedalus (named after the concept interstellar spaceship design)
Row 2, from left: target; halftarget 1-1-1-1; halftarget 1-1-1-3; halftarget 2-1-1-2; halftarget 3-1-1-3; target+1+1
Row 3, from left: Mask; Big S 2-2; Big S 2-3; triskelion; tri-far.
Row 4, from left: binary-far; 3-inline; tri+1+1+1; bimetal; lozenge or looped diamond.
Bottom-left corner: hairpin-5. Bottom-right: landspeeder (unstable).
Row 1, from left: hairpin-2 +15; hairpin-2 +13; hairpin-2 +2; Jellyfish.
Row 2, from left: longspeeder (unstable); longspeeder-4 (more unstable); longspeeder-5 (even more unstable); shortspeeder (might be stable?).
Row 3, from left: three patterns that arose during a statistical study; 2s1+14.
Row 4, from left: trisk+18; burger+1+1; burger; cored speeder+2+2; 3s1+19.
Row 1, from left: fan3+12; s1+8.
More to Come
Because of the resemblance to Conway's Game of Life with its many stable patterns (both moving and stationary) I designed a reaction-diffusion version of the Hacker Emblem, using a U-skate instead of a glider:
The reaction-diffusion hacker emblem
Read my scientific paper on the subject
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