Work

The relative isoperimetric profile of a unit square with a central square removed

Year: 2026

Type: preprint

Abstract: We calculate the exact values of the relative isoperimetric profile for a unit square with a central square removed. In other words, given a removed central square of a fixed size, we provide a function which produces the smallest relative perimeter which bounds any possible area within this shape.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.32946

Authors: Byassee, Kyle, Johnson, Hunter, Jones, Brandon, Nance, Ezra

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Louis Stokes New STEM Pathways Implementation-Only Alliance: The Tennessee Valley Tri-State LSAMP Alliance-Creating a Pathway of Success for General STEM Education

OpenAlex ID: W7214702276

Cites: 1

Cited by:

Related to: 10