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Ellipse Packing Using Hierarchical Optimization
Author

Frank Kampas
Organization: Physicist at Large Consulting
Revision date

2015-10-30
Description

Packing of ellipses into a circumscribing circle is done by using Lagrange multiplier based constraints to find the points on pairs of ellipses nearest to each other and the points on ellipses most distant from the center of the circumscribing circle. The optimization is carried out using MathOptimizer Professional
Subject

*Mathematics > Geometry > Computational Geometry
Keywords

Optimization, Packing, Ellipses, Lagrange Multipliers, Hierarchical Optimization
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Ellipse Packing Using Hierarchical Optimization.nb (120.1 KB) - Mathematica Notebook