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MathOptimizer Professional: Packing Equal-Size Circles in a Triangle

Frank J. Kampas
Organization: WAM Systems, Inc.
János D. Pintér
Organization: Pintér Consulting Service Inc.

This example illustrates both the modeling power of Mathematica and the solver quality of LGO. For a given triangle, we wish to maximize the radius of equal-size, non-overlapping circles that can be packed in the triangle.

*Mathematica Technology > Application Packages > Applications from Independent Developers > MathOptimizer Professional

Advanced global and local nonlinear optimization, model development in Mathematica, global/local solution by the LGO solver suite, math optimization, nonlinear optimization, large-scale optimization, math programming, Fortran, C, compiler
Related items

*Getting Started with MathOptimizer Professional   [in Technical Notes]
*MathOptimizer Professional   [in Technical Notes]
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packing.nb (58.7 KB) - Mathematica Notebook [for Mathematica 5.0]