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Jewellery from tessellations of hyperbolic space

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Geometrie und Topologie

Autor(en)

Herbert Gangl

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2022-005-EN

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snapshot-2022-005.pdf

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      Mathematisches Fachgebiet

      Algebra und Zahlentheorie
      Analysis
      Didaktik und Bildung
      Diskrete Mathematik und Grundlagen
      Geometrie und Topologie
      Numerik und Wissenschaftliches Rechnen
      Wahrscheinlichkeitstheorie und Statistik

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      Chemie und Geowissenschaft
      Informatik
      Ingenieurwissenschaft und Technik
      Finanzwesen
      Geistes- und Sozialwissenschaft
      Biowissenschaft
      Physik
      Überlegungen zur Mathematik

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