**BenoĆ®t Mandelbrot**

when he gave a seminar talk at the Bu Mathematics and Statistics Department. At the same time I was trying to find a way to produce animation in R. I came across this great post which was relevant for both purposes.

Using the code

### Reproduced from http://tolstoy.newcastle.edu.au/R/help/05/10/13198.html

### Written by Jarek Tuszynski, PhD.

library(fields) # for tim.colors

library(caTools) # for write.gif

m = 400 # grid 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)

Z = 0

X = array(0, c(m,m,20))

for (k in 1:20) {

Z = Z^2+C

X[,,k] = exp(-abs(Z))

}

image(X[,,k], col=tim.colors(256)) # show final image in

write.gif(X, "Mandelbrot.gif", col=tim.colors(256), delay=100)

we get the following animation