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Relativity of π as a Function of the Rotation of N-Sided Unit Polygons
Author(s) -
Luis Teia
Publication year - 2022
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v14n2p19
Subject(s) - mathematics , linearity , unit (ring theory) , rotation (mathematics) , geometry , degree (music) , combinatorics , physics , mathematics education , quantum mechanics , acoustics
This article presents a new way to determine the value of π, using as an approach the area formed by the interference pattern of several rotating unit squares. The same approach is then applied to other N-sided unit polygons (i.e., triangles, pentagons and hexagons) to investigate how they affect this proportionality between circularity and linearity to a degree other than orthogonal (i.e., when the system axes do not form a right-angle, expressible in the new method as an approach that uses squares). Applied examples involving the Earth’s size and an orbiting satellite constellation are given.

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