# Noon lecture

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On 25.09.2014 at 12:20 in S6, there is the following noon lecture:

# On the number of unit-area triangles spanned by points in the plane

## Orit Raz

## Abstract

We show that the number of unit-area triangles determined by a set S of n points in the plane is O(n^{20/9}), improving the earlier bound O(n^{9/4}) of Apfelbaum and Sharir. We also show, using a somewhat subtle construction, that if S consists of points on three lines, the number of unit-area triangles can be Omega(n^2). This is a joint work with Micha Sharir.

list of noon lectures ( 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | future lectures)

Webmaster: kamweb.mff.cuni.cz Modified: 19. 10. 2010