Wednesday, April 18, 2007

Mandelbrot Set with R Animation

A few days ago I had the opportunity of having dinner with BenoƮt 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
### 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

Thursday, April 5, 2007

Color Map in a pie

pie(rep(1,40), col=rainbow(40))
pie(rep(1,40), col=heat.colors(40))

Wednesday, April 4, 2007

My plan

I am planning to maintain this blog to publish the every day tricks I learn working in R. Please feel free to post your comments and share interesting tricks