Mountains In Spring

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Mountains In Spring
Field: Fractals
Image Created By: Anne M. Burns
Website: Math Imagery (AMS)

Mountains In Spring

One of Anne Burns' Mathscapes, the plant life in "Mountains in Spring" were generated using fractal methods.


Basic Description

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.

A More Mathematical Explanation

For a very good explanation see Anne Burns' paper Recursion in Nature, Mathematics and Art, from the 2005 Bridges Conference.









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