This analysis uncovers new findings about areas in cyclic-harmonic curves, suggesting connections to traditional polar coordinate structures.
The cyclic-harmonic curves r=2+ cos (pθ/q) are related to the familiar roses r= cos nθ we all remember from calculus as our first introduction to polar coordinate graphs. These cyclic-harmonic curves were studied rather extensively by Robert Moritz and William Rigge in the 1910's and 20's and have been mostly dormant since then. We bring them back to life and we share some new discoveries related to their areas.
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Dresden et al. (2025) studied this question.
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