File:Animated cardioid.gif

English: This file was created by me (Deimos 28) using the following R source code:

N=40
theta = function(n) {return(2*pi*((0:(n-1))/((n-1))-1/2))}
x=cos(theta(N))+cos(2*theta(N))
y=sin(theta(N))+sin(2*theta(N))

nbdigit=function(n) {return(floor(log(n,base=10))+1)}
headingzeros=function(n) {return(3-nbdigit(n))}

jpeg("animated_001.jpg")
plot(x,y,type="l",xlim=c(-1.25,2.05),ylim=c(-1.75,1.75),axes=FALSE,xlab="",ylab="")
dev.off()

for (i in 2:N) {
    a="animated_"
    if (headingzeros(i)>0) {
        for (j in 1:headingzeros(i)) {
            a=paste(a,0,sep="")
        }
    }
    jpeg(paste(a,i,".jpg",sep=""))
    plot(x,y,type="l",xlim=c(-1.25,2.05),ylim=c(-1.75,1.75),axes=FALSE,xlab="",y
    lines(x[1:i],y[1:i],type="l",col=2,lwd=3)
    dev.off()
}

Then using the following shell command:

convert -delay 2 -loop 50 ani*.jpg animated.gif

Note: image optimized by User:Kieff. The above code generates JPEG frames, which introducte compression artifacts that are extremely inneficient for the purpose of a GIF animation.