2026-07-25T14:49:27Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:23234 2025-10-02T12:43:54Z ddc:004 open_access

Software for the Thompson and Funk Polygonal Geometry (Media Exposition) Banerjee, Hridhaan Day, Carmen Isabel Gezalyan, Auguste H. Golovatskaia, Olga Hunleth, Megan Hwang, Sarah Parepally, Nithin Wang, Lucy Mount, David M. Thompson metric Hilbert metric Funk metric balls Metric spaces defined within convex polygons, such as the Thompson, Funk, reverse Funk, and Hilbert metrics, are subjects of recent exploration and study in computational geometry. This paper contributes an educational piece of software for understanding these unique geometries while also providing a tool to support their research. We provide dynamic software for manipulating the Funk, reverse Funk, and Thompson balls in convex polygonal domains. Additionally, we provide a visualization program for traversing the Hilbert polygonal geometry. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Hridhaan Banerjee and Carmen Isabel Day and Auguste H. Gezalyan and Olga Golovatskaia and Megan Hunleth and Sarah Hwang and Nithin Parepally and Lucy Wang and David M. Mount 2025 Is Part Of LIPIcs, Volume 332, 41st International Symposium on Computational Geometry (SoCG 2025) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.SoCG.2025.82 urn:nbn:de:0030-drops-232349 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2025.82 eng https://creativecommons.org/licenses/by/4.0/legalcode