This project explores a novel approach to approximating Euler's Number (e) through fundamental concepts in Geometry and Probability, making it accessible to high school students. Unlike traditional ...

This paper proposes a generalization of Euler's formula using a variable common difference $${ k }$$ from arithmetic sequences. By considering ``worlds'' with different unit scales, we redefine the ...

Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so ...

“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

WHILE Paul Nahin is not the first to proclaim the power and beauty of mathematics, few have alluded to the “erotic connection between mathematical insight and sexual orgasm”. A stretch too far, ...