Alexandrov's uniqueness theorem
id:
alexandrov-s-uniqueness-theorem-310-2035552
title:
Alexandrov's uniqueness theorem
text:
The Alexandrov uniqueness theorem is a rigidity theorem in mathematics, describing three-dimensional convex polyhedra in terms of the distances between points on their surfaces. It implies that convex polyhedra with distinct shapes from each other also have distinct metric spaces of surface distances, and it characterizes the metric spaces that come from the surface distances on polyhedra. It is named after Soviet mathematician Aleksandr Danilovich Aleksandrov, who published it in the 1940s.
brand slug:
wiki
category slug:
encyclopedia
description:
Polyhedra are determined by surface distance
original url:
https://en.wikipedia.org/wiki/Alexandrov%27s_uniqueness_theorem
date created:
date modified:
2024-02-01T06:32:05Z
main entity:
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image:
fields total:
13
integrity:
14