Maximum Polygon Packing: The CG Challenge 2024
DOI:
https://doi.org/10.57717/cgt.v5i5.125Abstract
We give an overview of the 2024 Computational Geometry Challenge targeting the problem Maximum Polygon Packing: Given a convex region \(P\) in the plane, and a collection of simple polygons \(Q_1, \ldots, Q_n\), each \(Q_i\) with a respective value \(c_i\), find a subset \(S \subseteq \{1, \ldots,n\}\) and a feasible packing within \(P\) of the polygons \(Q_i\) (without rotation) for \(i \in S\), maximizing \(\sum_{i \in S} c_i\). Geometric packing problems, such as this, present significant computational challenges and are of substantial practical importance.
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Copyright (c) 2026 Sándor P. Fekete, Phillip Keldenich, Dominik Krupke, Stefan Schirra
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