For Matlab

Assume you have three points at the corner of an equilateral triangle, P1 = (0,0), P2 = (0.5,2/2), and P3 = (1,0). Now you want to generate another set of points pi = (xi, yi) such that p1 = (0,0) and pi+1 is the midpoint between pi and P1 with 33% probability, the midpoint between pi and P2 with 33% probability, and the midpoint between pi and P3 with 33% probability. Write a function with header [ ] = mySierpinski (n) that generates the points pi for i = 1,,n. The function should make a plot of the points using blue dots (i.e., 'b.' as the third argument to the plot command).

Test Cases:

>>mySierpinski(100)

Try your function for n = 10,000