Triangulations in geometry: from Ptolemy to Teichmüller

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Geometrie und Topologie

Autor(en)

Matthew Pressland

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2026-004-EN

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snapshot-2026-004.pdf

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snapshots: overview

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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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