Approximating Logarithmic Spirals by Quarter Circles

Conference paper (2021)

Authors

Ulrich Reitebuch Freie Universität Berlin
M. Skrodzki Computer Graphics and Visualisation
Konrad Polthier Freie Universität Berlin
Research Group
Computer Graphics and Visualisation
Copyright: © 2021 Ulrich Reitebuch, M. Skrodzki, Konrad Polthier
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Published Date

2021

Language

English

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Research Group

Computer Graphics and Visualisation

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.

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