Results for: Fractals

Fractal Global Behavior of Newton’s Method

Posted by Cleve Moler,

When the starting point of Newton's method is not close to a zero of the function, the global behavior can appear to be unpredictable. Contour plots of iteration counts to convergence from a region of starting points in the complex plane generate thought-provoking fractal images. Our examples employ the subject of two recent posts, the historic cubic $x^3-2x-5$. ... read more >>

Season’s Greetings, 2014 2

Posted by Cleve Moler,

Season's Greetings, 2014 help greetings % greetings Seasonal holiday fractal. % greetings(phi) generates a seasonal holiday fractal that depends % upon the parameter phi. The default value of phi is the golden ratio. % What happens for other values of phi? Try both simple... read more >>