Mathematical Research in High School: The PRIMES Experience

Consider a finite set of lines in 3-space. A joint is a point where three of these lines (not lying in the same plane) intersect. If there are L lines, what is the largest possible number of joints? Well, let’s try our luck and randomly choose k planes. Any pair of planes produces a line, and any tr...

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Bibliographic Details
Main Authors: Etingof, Pavel I, Gerovitch, Vyacheslav, Khovanova, Tanya
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society (AMS) 2017
Online Access:http://hdl.handle.net/1721.1/110267
https://orcid.org/0000-0002-0710-1416
https://orcid.org/0000-0002-1639-4548
https://orcid.org/0000-0003-0868-8981