Recursively Generated Spirals

Summary

When the angles are changed in the usual algorithm to generate the Koch curve, a wide variety of images may be produced, some of which possess rotational symmetry. One family of such images consists of simple spiral-like images. While there are only two segments in each spiral arm, the number of segments that must be drawn to render a complete image of the spiral grows exponentially with the number of arms in the spiral.

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No potential conflict of interest was reported by the author.

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Vincent J. Matsko

Vince Matsko ([email protected]) lives on a remote bluish planet in the Milky Way Galaxy. After doing a bunch of stuff other people told him to do for a while, he’s pretty much his own boss now. He writes puzzle books, teaches a calculus class, participates in a writing circle, and designs digital art work. He loves fish pie.