Statistical Analysis: an Introduction using R/Introduction

library(caTools) # external package providing write.gif function jet.colors <- colorRampPalette(c("#00007F", "blue", "#007FFF", "cyan", "#7FFF7F",

                                "yellow", "#FF7F00", "red", "#7F0000")) 

m <- 1200 # define size C <- complex( real=rep(seq(-1.8,0.6, length.out=m), each=m ),

             imag=rep(seq(-1.2,1.2, length.out=m), m ) ) 

C <- matrix(C,m,m) # reshape as square matrix of complex numbers Z <- 0 # initialize Z to zero X <- array(0, c(m,m,20)) # initialize output 3D array for (k in 1:20) { # loop with 20 iterations

 Z <- Z^2+C             # the central difference equation  
 X[,,k] <- exp(-abs(Z)) # capture results

} write.gif(X, "Mandelbrot.gif", col=jet.colors, delay=100)