--

Newton Basins

MAT 104 will wind up with an elementary treatment and applications of Newton' method for solving polynomial equations. The pictures above are successive magnifications of the "Newton basins" for the 12th degree equation

that

• Encodes a flower
• With 10 leaves
• That have buds
• Encircled with flowers
• That have leaves with buds
• And so on ad infinitum

[ Outline of the method to be inserted]

MATLAB code