On the Number of Regions into WhichnStraight Lines Divide the Plane

Suppose we havenlines in the plane. In this paper we study the problem of determining which numbers betweenn+1andn(n+1)/2+1can be realized as the number of regions into which these lines divide the plane.

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Bibliographic Details
Published in:	The American mathematical monthly Vol. 117; no. 10; pp. 881 - 888
Main Author:	Oleg A. Ivanov
Format:	Journal Article
Language:	English
Published:	Mathematical Association of America 01-12-2010
Subjects:	Geometric planes Infinity Parallel lines
Online Access:	Get full text
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Description
Summary:	Suppose we havenlines in the plane. In this paper we study the problem of determining which numbers betweenn+1andn(n+1)/2+1can be realized as the number of regions into which these lines divide the plane.
ISSN:	0002-9890 1930-0972
DOI:	10.4169/000298910X523362