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

CC BY-SA-4.0

DOI (Digital Object Identifier)

10.14760/SNAP-2022-005-EN

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Algebra und Zahlentheorie

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Geistes- und Sozialwissenschaft

Biowissenschaft

Physik

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