Simpson's Rule for Circles: A New Formula for π

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Eric Yaw
DOI: 10.5281/zenodo.18470918
Cited by: 0

Abstract

A new formula for computing π with fourth-order convergence, based on the optimal 2:1 ratio of inscribed and circumscribed polygon bounds.

Fields of Study & Subjects

Mathematics and Applications Mathematical and Computational Methods Advanced Mathematical Identities

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
3 February 2026
Language
EN
Document type
Preprint