Approximating Logarithmic Spirals by Quarter Circles
Ulrich Reitebuch, Martin Skrodzki, and Konrad Polthier

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
Pages 95–102
Regular Papers

Abstract

The approximation of a golden logarithmic spiral by quarter circles is well known. Starting from this, we show that any logarithmic spiral can be approximated by quarter circles in a similar way. Using our construction on a rectangle with aspect ratio √𝜙 and performing a coordinate reparametrization, we obtain an aesthetic partition of the plane as our main artwork.

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