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Reflections on hyperbolic space

Oberwolfach'tan

Reflections on hyperbolic space

In school, we learn that the interior angles of any triangle sum up to π. However, there exist spaces different from the usual Euclidean space in which this is not true. One of these spaces is the “hyperbolic space”, which has another geometry than the classical Euclidean geometry. In this snapshot, we consider the geometry of hyperbolic polytopes, for example polygons, how they tile hyperbolic space, and how reflections along the faces of polytopes give rise to important mathematical structures. The classification of these structures is an open area of research.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Cebir ve Sayılar Kuramı
Geometri ve Topoloji

Diğer alanlarla ilişkiler

Yaşam Bilimleri

Yazar(lar)

Anna Haensch

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2021-007-EN

PDF indir

snapshot-2021-007.pdf

PDF

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      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
      Olasılık Kuramı ve İstatistik

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      Finans
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      Fizik
      Matematik Üzerine Düşünceler

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