Look at this amazing chaos game fractal.
Three vertices of an equilateral triangle and a random point p between any two vertices are taken,then we generate a random integer between 1 and 6 (just like throwing a dice) .if 2 or 4 comes on the dice we draw a point between the random point p and the vertex v1.similarly if 3 or 4 comes on dice , we draw a point between the previously drawn point and vertex v2.for 5 or 6 the vertex is v3.after a few iterations we get to see this amazing pattern