Image of the Week #14

This week, the image of the week fractal is a Newton’s method fractal for a 20th degree polynomial.  The roots are generated in symmetric pairs about the complex axis.  Attractors for the first twelve are mapped to cosine-colored shades, the last eight to black.  Points that dont converge in 12 iterations are mapped to a gold cosine-colored shade.  The result is displayed below.  This type of fractal is called a Newton filgree fractal.

NewtonFillagree1

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s