Faculty Publications

Proof Without Words: Estimating Generalized Pi

Document Type

Article

Journal/Book/Conference Title

College Mathematics Journal

Abstract

Summary: Euclidean geometry is a special case of the p-metric whose unit circle satisfies (Formula presented.), and we may use its area to define a generalized version of pi. We wordlessly deduce some simple bounds on the values of generalized pi from inscribed and exscribed octagons.

Department

Department of Mathematics

Original Publication Date

8-19-2024

DOI of published version

10.1080/07468342.2024.2388473

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