Triangulations in geometry: from Ptolemy to Teichmüller

Instantanés de recherche mathématique à Oberwolfach

Triangulations in geometry: from Ptolemy to Teichmüller

Ptolemy’s theorem is a classical result from ancient Greek mathematics, concerning the lengths of sides and diagonals of a polygon drawn in a circle. In this snapshot, I will explain why this theorem is still important today through its role in Teichmüller theory, a subject which seeks to describe all possible “shapes” of a surface with boundary.

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Sujet mathématique

Algèbre et théorie des nombres
Géométrie et Topologie

Auteur(s)

Matthew Pressland

Licence

DOI

10.14760/SNAP-2026-004-EN

Télécharger PDF

snapshot-2026-004.pdf

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snapshots: overview

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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