Images & Links

Most of these images are linked to an applet with the same parameters so you can watch and interact with the pattern evolution.

Varying F, k, and diffusion parameters

Gray-Scott morphogenesis with varying F, k, and diffusion parameters

Parameters: 

	F=0.035&k=0.065&diffuseU=0.16&diffuseV=0.08&
	simwidth=400&simheight=400&
	wrap=false&varyPhysics=true&
	diffuseU2=0.06&diffuseV2=0.03&F2=0.06&k2=0.062
This image shows how physical parameters can vary within a single environment. Here the diffusion constants vary on the vertical axis, and the reaction constants vary along the horizontal axis.

Click the image to see these parameters in action. Notice that it may be quite slow at the 400x400 resolution.

Varying F and diffusion parameters

Gray-Scott morphogenesis with varying F parameter

Parameters: 

	F=0.035&k=0.067&diffuseU=0.18&diffuseV=0.09&
	simwidth=400&simheight=400&
	wrap=false&varyPhysics=true&
	diffuseU2=0.06&diffuseV2=0.03&F2=0.035&k2=0.055
k varies along the X axis, and the diffusion rates vary along the Y axis.

Varying U diffusion rate

Gray-Scott morphogenesis with varying U diffusion rate

Parameters: 

	F=0.06&k=0.062&diffuseU=0.052&diffuseV=0.04&
	simwidth=400&simheight=400&
	wrap=false&varyPhysics=true&
	diffuseU2=0.11&diffuseV2=0.04&F2=0.06&k2=0.062
The diffusion rate of reactant U varies along the vertical axis; all other parameters are constant.

Varying V diffusion rate

Gray-Scott morphogenesis with varying V diffusion rate

Parameters: 

	F=0.06&k=0.062&diffuseU=0.1&diffuseV=0.06&
	simwidth=400&simheight=400&
	wrap=false&varyPhysics=true&
	diffuseU2=0.1&diffuseV2=0.018&F2=0.06&k2=0.062
The diffusion rate of reactant V varies along the vertical axis; all other parameters are constant.

This image shows some bad anisotropy, especially in the lower half. This is a side effect of the simplistic diffusion algorithm I used for performance reasons.