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Hilbert Geometry Visualization Software

Hilbert Geometry Visualization Software

By Andrew Wagger and June Cagan - Summer 2025

Over Summer 2025, I worked in a research group in UMD's Research Experience for Undergraduates (REU) Combinatorics, Algorithms, and AI for Real Problems (CAAR) program We researched the non-Euclidean distance metric called the Hilbert Metric. We focused on algorithms to calculate Voronoi (closest point) diagrams of the k-th degree. I worked on the final Voronoi algorithm as well as coding visualization software to implement our algorithms as well as other geometric structures of the Hilbert Metric. A paper on the software is being submitted to the International Symposium on Computational Geometry 2026.

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Oven joke on graffiti'd wall