Abstract
A combination of mathematical methods is used to create the image of a butterfly. The properties of the one-dimensional diffusion equation can be used to produce wing shapes.
Mandelbrot set patterns are applied to color the butterfly wings. Finally, another technique using the logarithmic spiral is presented to create natural shapes and patterns.
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References
Blinn JF (1987) How many ways can you draw a circle? Dr. Dobb's Journal 18–26
Pipes LA, Harvill LR (1970) Applied mathematics for engineers and physicists. McGraw-Hill, New York St. Louis San Francisco Düsseldorf London Mexico Panama Sydney Toronto, p 938
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Conger, R.L. A picture of a butterfly with diffusion-shaped wings. The Visual Computer 6, 372–374 (1990). https://doi.org/10.1007/BF01901023
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DOI: https://doi.org/10.1007/BF01901023