Polygons and Chaos

Year: 2001 Authors: Jay Kappraff; Gary W. Adamson

Core claim

Star n-gon edge cycles encode periodic dynamics of the logistic equation and two polynomial families, with each odd n-gon having a characteristic cycle length.

Topics

chaos, star polygons, periodic trajectories, number theory

Domains

dynamical systems, logistic equation, Chebyshev polynomials, Euler phi-function, geometry, music theory, visualization

Methods

semi-conjugacy, modular arithmetic, polynomial mapping, cyclic edge construction

Media

star polygons, cyclotomic n-gons, figures, tone circle

Source status

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