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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