Triangulations in geometry:  from Ptolemy to Teichmüller

dc.contributor.author	Pressland, Matthew
dc.contributor.editor	Edwards-Costa, Lael
dc.contributor.editor	Randecker, Anja
dc.date.accessioned	2026-02-27T11:10:29Z
dc.date.available	2026-02-27T11:10:29Z
dc.date.issued	2026-02-27
dc.identifier.uri	http://publications.mfo.de/handle/mfo/4391
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.publisher	Mathematisches Forschungsinstitut Oberwolfach	en_US
dc.relation.ispartofseries	Snapshots of modern mathematics from Oberwolfach;2026-04
dc.rights	Attribution-ShareAlike 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-sa/4.0/	*
dc.title	Triangulations in geometry: from Ptolemy to Teichmüller	en_US
dc.type	Article	en_US
local.series.id	SNAP-2026-004-EN	en_US
local.subject.snapshot	Algebra and Number Theory	en_US
local.subject.snapshot	Geometry and Topology	en_US

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