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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
A Fractal Geometry For Hydrodynamics, Jonah Mears
A Fractal Geometry For Hydrodynamics, Jonah Mears
Honors Theses
Experiments have shown that objects with uneven surfaces, such as golf balls, can have less drag than those with smooth surfaces. Since fractal surfaces appear naturally in other areas, it must be asked if they can produce less drag than a traditional surface and save energy. Little or no research has been conducted so far on this question. The purpose of this project is to see if fractal geometry can improve boat hull design by producing a hull with low friction.
Masterpiece: Computer-Generated Music Through Fractals And Genetic Theory, Amanda Broyles
Masterpiece: Computer-Generated Music Through Fractals And Genetic Theory, Amanda Broyles
Honors Theses
A wide variety of computer-generated music exists. I have writ.ten a program which will generate music by using genetic theory and fractals. The genetic theory is used to mold input pieces into a musical motif. The motif is then elaborated by the fractal formula into a composition. A brief introduction to the world of genetic theory and fractals is given. Analysis of a musical work produced in this manner shows coherent patterns and also emotion.