Jason Cole • 12/30/2014

Wraptimisation

This article explores the mathematics behind wrapping a cuboid present efficiently. The author describes their own wrapping procedure and derives the total paper area as a function of the box dimensions. Using the constraint of fixed volume, they attempt to minimize the paper area via calculus, encountering coupled cubic equations. The article then introduces Lagrange multipliers as a more elegant method to solve the optimization problem without solving the cubics, blending gift wrapping with applied mathematics.

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#optimization #calculus #Geometry