Difference between revisions of "Anne Burns' Mathscapes"
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|ImageIntro=In her Mathscape images, Anne M. Burns combines recursive algorithms for clouds, mountains and various imaginary plant forms into one picture. | |ImageIntro=In her Mathscape images, Anne M. Burns combines recursive algorithms for clouds, mountains and various imaginary plant forms into one picture. | ||
|ImageDescElem=<div id=fractal1>[[Image:FractalSceneI.jpg|left|frame|[[Anne_Burns'_Mathscapes#fractal1|Image 1]]. ''Fractal Scene I.'']]</div> | |ImageDescElem=<div id=fractal1>[[Image:FractalSceneI.jpg|left|frame|[[Anne_Burns'_Mathscapes#fractal1|Image 1]]. ''Fractal Scene I.'']]</div> | ||
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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. | 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. | ||
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+ | <div id=mountains>[[Image:MountainSpring.jpg|center|frame|[[Anne_Burns'_Mathscapes#mountains|Image 2]]. ''Mountains in Spring.'']]</div> | ||
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|ImageDesc=coming soon | |ImageDesc=coming soon | ||
|AuthorName=Anne M. Burns | |AuthorName=Anne M. Burns |
Revision as of 12:41, 13 June 2011
Mathscape |
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Mathscape
- In her Mathscape images, Anne M. Burns combines recursive algorithms for clouds, mountains and various imaginary plant forms into one picture.
Contents
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
coming soon
coming soon
Teaching Materials
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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.
References
Burns, A. Recursion in nature, mathematics and art.]
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