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.

Gallery 1

These patterns were discovered between 2009 March 22^nd and 2009 May 7^th.

gallery 1

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).

Gallery 2

gallery 2

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.

Gallery 3

gallery 3

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

Back to Xmorphia main

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2019 Jan 05.

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