Abstract
As usual, a convex body of the Euclidean space \(\mathbb{E}^d\) is a compact convex set with non-empty interior. Let C ⊂ \(\mathbb{E}^d\) be a convex body, and let H ⊂ \(\mathbb{E}^d\) be a hyperplane. Then the distance w(C;H) between the two supporting hyperplanes of C parallel to H is called the width of C parallel to H. Moreover, the smallest width of C parallel to hyperplanes of \(\mathbb{E}^d\) is called the minimal width of C and is denoted by w(C).
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Bezdek, K. (2010). Coverings by Planks and Cylinders. In: Classical Topics in Discrete Geometry. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0600-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4419-0600-7_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-0599-4
Online ISBN: 978-1-4419-0600-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)