Making Mathematical Art via the Harmonic and Perturbed Harmonic Functions
Abstract
Starting from the definition of a harmonic function series, we define a new series which we call the perturbed harmonic function series. We explore the relationship of the new series with the Weierstrass and Riemann fractal functions as well as its convergence and differentiability properties. We then illustrate the potential of the harmonic functions in generating complex figures that sometimes resemble natural objects, with explicit numerical examples.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Art
Technology
and Culture
Mathematical and Computational Methods
Publication details
- Journal / source
- Journal of Humanistic Mathematics
- Volume
- 16
- Issue
- 1
- Pages
- 218–231
- Publication date
- 1 January 2026
- Language
- EN