TITLE: Harmonic Danse
AUTHOR: David G Stork
SOFTWARE: Mathematica®
SOURCE: The Mathematica Journal, Volume 4, Issue 4
COMMENTS:
“I began seeking new ways to use three-dimensional graphics for representing intuitively and clearly the relationships among harmonic functions other than simple sine waves; this could be useful in understanding certain operations in signal processing. My goal was to improve upon techniques such as Lissajous figures, Bode plots and related systems. The original general scheme involved sweeping out thin arc bands while the entire figure is rotated about the vertical axis. After I explored the method for a while, it became clear that it had drawbacks that made it impractical —the figures were often too complex, and they obscured, rather than illuminated the underlying relationships among the harmonic functions. Nevertheless, the images that arose were frequently intriguing, so I turned instead to choosing functions (and slightly altering the representational scheme) in order to obtain interesting figures, regardless of their pedagogical value. This figure is one such example.” (DG S)
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Get the code  (Mathematica® 4 notebook) to create similar graphics. This program was published in
The Mathematica Journal, ©Miller Freeman Publications, 1994. |
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