Approximating Logarithmic Spirals by Quarter Circles
Ulrich Reitebuch (Freie Universität Berlin)
M. Skrodzki (TU Delft - Computer Graphics and Visualisation)
Konrad Polthier (Freie Universität Berlin)
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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 √휙 and performing a coordinate reparametrization, we obtain an aesthetic partition of the plane as our main artwork.