lorenz-attractor

works on simple maths equation

1. dX/dT	=	sigma(Y-X)	=> dX	=	sigma(Y-X)*dT
2. dY/dT	=	X(rho-Z)-Y	=> dY	=	(X(rho-Z)-Y)*dT
3. dZ/dT	=	XY-beta(Z)  =>  dZ	=	(XY-beta(Z))*dT

x=x+dX y=y+dY z=z+dZ

Here x,y,z make up the system state,T is time, and sigma ,rho ,beta are the system parameters;

One normally assumes that the parameters sigma ,rho ,beta are positive. Lorenz used the values sigma =10, beta =8/3 and rho =28. The system exhibits chaotic behavior for these (and nearby) values.

you can change these values and experiment with the equation as you like to create more beautiful patterns :)