Approximating Logarithmic Spirals by Quarter Circles

Year: 2021 Authors: Ulrich Reitebuch; Martin Skrodzki; Konrad Polthier

Core claim

Any logarithmic spiral can be approximated by quarter circles through a generalized rectangle construction and reparametrization.

Topics

logarithmic spirals, quarter-circle approximation, plane partition, artistic construction

Domains

geometry, spiral parametrization, similarity transformations, complex mapping, algorithmic art, pattern design, visual composition, color palette

Methods

iterative rectangle construction, diagonal-based construction, coordinate reparametrization, geometric approximation

Media

digital image, quarter circles, rectangles, maritime palette

Source status

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