TL;DR
This paper introduces a Fourier analytical method to quantify the inequity in pizza slices when cut from a non-central interior point, focusing on the difference in total area between even and odd slices.
Contribution
It presents a novel Fourier-based approach to analyze and estimate area differences in non-uniform pizza slicing scenarios.
Findings
Derived explicit formulas for area differences using Fourier analysis
Quantified how the position of the interior point affects slice area inequity
Provided insights into optimal slicing strategies to minimize inequity
Abstract
Let n be an odd integer greater than 1. We slice a circular pizza into 2n slices, making cuts from a non-central interior point of the circle. We estimate the difference between between the total area of the even numbered slices and the total area of the odd numbered slices.
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