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Voronoi Cells: Or How to Find the Nearest Bakery

Snapshots of modern mathematics from Oberwolfach

Voronoi Cells: Or How to Find the Nearest Bakery

Deciding which mall, hospital or school is closest to us is a problem we face everyday. It even comes on holidays with us, when we optimize our plans to make sure that we have enough time to visit all the attractions we want to see. In this article, we show how concepts from metric algebraic geometry help us to rise to this task while planning a weekend trip to the Black Forest.

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Mathematical subjects

Algebra and Number Theory
Geometry and Topology

Connections to other fields

Computer Science
Engineering and Technology

Author(s)

Sarah Hess, Angélica Torres, Mirte van der Eyden

License

DOI (Digital Object Identifier)

10.14760/SNAP-2024-003-EN

Download PDF

snapshot-2024-003.pdf

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snapshots: overview

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      Tropical geometry
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      Prony’s method: an old trick for new problems
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      Topological recursion
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      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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