Archimedes' Revenge
Mark B. Villarino, Joseph C. V\'arilly, Runze Li
TL;DR
This paper presents a detailed solution for calculating the volume of the intersection of three hyperboloids, providing insights into a classical geometric problem with potential applications in advanced mathematics.
Contribution
It introduces a novel method for computing the volume of the orthogonal intersection of three hyperboloids, expanding geometric computation techniques.
Findings
Derived an explicit formula for the volume of the intersection
Validated the method with specific hyperboloid configurations
Enhanced understanding of hyperboloid intersections
Abstract
We offer an instructive solution to the problem of computing the volume of the orthogonal intersection of three hyperboloids.
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