Staircase paradox
id:
staircase-paradox-260-6586849
title:
Staircase paradox
text:
In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. It consists of a sequence of "staircase" polygonal chains in a unit square, formed from horizontal and vertical line segments of decreasing length, so that these staircases converge uniformly to the diagonal of the square. However, each staircase has length two, while the length of the diagonal is the square root of 2, so the sequence of staircase leng
brand slug:
wiki
category slug:
encyclopedia
description:
Curves whose limit does not preserve length
original url:
https://en.wikipedia.org/wiki/Staircase_paradox
date created:
date modified:
2023-12-31T13:49:12Z
main entity:
{"identifier":"Q112701864","url":"https://www.wikidata.org/entity/Q112701864"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/2d/Quadrat_Diagonale.svg","width":468,"height":351}
fields total:
13
integrity:
15