New Approaches to Circle Packing in a Square

1. Introduction and Problem History
2. Problem Definitions and Formulations
3. Bounds for the Optimum Values
4. Approximate Circle Packings Using Optimization Methods
5. Other Methods for Finding Approximate Circle Packings
6. Interval Methods for Validating Optimal Solutions
7. The First Fully Interval-based Optimization Method
8. The Improved Version of the Interval Optimization Method
9. Interval Methods for Verifying Structural Optimality
10. Repeated Patterns in Circle Packings
11. Minimal Polynomials of Point Arrangements
12. About the Codes Used

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Keywords: MATHEMATICS / General MAT000000