Approximating Logarithmic Spirals by Quarter Circles

Ulrich Reitebuch, M. Skrodzki, Konrad Polthier

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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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.
Original languageEnglish
Title of host publicationProceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
PublisherTesselation Publishing
Pages95-102
Number of pages8
ISBN (Print)978-1-938664-39-7
Publication statusPublished - 2021
EventBridges 2021 Conference - Virtual conference
Duration: 2 Aug 20213 Sep 2021

Conference

ConferenceBridges 2021 Conference
Period2/08/213/09/21

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