Anne Burns' Mathscapes

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Field: Fractals
Image Created By: Anne M. Burns
Website: [1]


In her Mathscape images, Anne M. Burns combines recursive algorithms for clouds, mountains and various imaginary plant forms into one picture.

Basic Description

Image 1. Fractal Scene I.

Computers make it possible for Burns to "see" the beauty of mathematics. The artworks in the gallery of "Mathscapes" were created using a variety of mathematical formulas. The clouds and plant life are generated using fractal methods. The mountains are created using trigonometric sums with randomly generated coefficients; then, using 3-D transformation, they are projected onto the computer screen. Value and color are functions of the dot product of the normal to the surface with a specified light vector.

Image 2. Mountains in Spring.

A More Mathematical Explanation

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About the Creator of this Image

Anne M. Burns is a professor at Long Island University's C.W. Post campus. She received her Ph.D. in Mathematics from SUNY Stony Brook in 1976. Her research interests include discrete dynamical systems, scientific visualization, and using mathematics and computer graphics to describe nature.


Burns, A. Recursion in nature, mathematics and art.]

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