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Jewellery from tessellations of hyperbolic space

Snapshots of modern mathematics from Oberwolfach

Jewellery from tessellations of hyperbolic space

In this snapshot, we will first give an introduction to hyperbolic geometry and we will then show how certain matrix groups of a number-theoretic origin give rise to a large variety of interesting tessellations of 3-dimensional hyperbolic space. Many of the building blocks of these tessellations exhibit beautiful symmetry and have inspired the design of 3D printed jewellery.

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Mathematical subjects

Algebra and Number Theory
Geometry and Topology

Author(s)

Herbert Gangl

License

DOI (Digital Object Identifier)

10.14760/SNAP-2022-005-EN

Download PDF

snapshot-2022-005.pdf

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snapshots: overview

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      Mathematical subjects

      Algebra and Number Theory
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      Discrete Mathematics and Foundations
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      Numerics and Scientific Computing
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      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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