An Algebraic Approach to Rectangle Packing Problems

TL;DR

This paper introduces an algebraic method that transforms rectangle packing problems into systems of polynomial equations, enabling algebraic solutions to geometric packing challenges.

Contribution

It presents a novel algebraic approach to rectangle packing, bridging geometry and algebra for potentially more effective problem solving.

Findings

Successfully converts rectangle packing into polynomial systems

Demonstrates the algebraic method's potential for solving packing problems

Provides a new framework for analyzing geometric packing via algebra

Abstract

A method for converting the geometrical problem of rectangle packing to an algebraic problem of solving a system of polynomial equations is described.