Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2021) Triangles of nearly equal area. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 62 (1). 219 - 227. ISSN 0138-4821
Text (Triangles of nearly equal area)
- Published Version
Available under License Creative Commons Attribution. Download (347kB) |
Abstract
Given any n points in the plane, not all on the same line, there exist two non-collinear triples such that the ratio of the areas of the triangles they determine, differs from 1 by at most O(log n/n2). If we furthermore insist that the two triangles have a common edge, then there are two with area ratios differing from 1 by at most O(1/n). This improves some results of Ophir and Pinchasi (Discrete Appl. Math. 174 (2014), 122–127). We also give some constructions for these and related problems.
Item Type: | Article |
---|---|
Official URL: | https://www.springer.com/journal/13366 |
Additional Information: | © 2021 The Author |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 16 Feb 2021 11:18 |
Last Modified: | 14 Sep 2024 08:33 |
URI: | http://eprints.lse.ac.uk/id/eprint/108667 |
Actions (login required)
View Item |