Kobon Triangle Problem

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
ISBN:  

9786131257186


Pages:   68
Publication Date:   25 November 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Kobon Triangle Problem


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High Quality Content by WIKIPEDIA articles! The Kobon triangle problem is an unsolved problem in combinatorial geometry first stated by Kobon Fujimura. The problem asks for the largest number N(k) of nonoverlapping triangles that can be produced by k straight line segments. Saburo Tamura proved that the largest integer not exceeding k(k ae' 2)/3 provides an upper bound on the maximal number of nonoverlapping triangles realizable by k lines. This sequence is captured in the On-Line Encyclopedia of Integer Sequences as A032765. In 2007, a tighter upper bound was found by Johannes Bader and Gilles Clement, by proving that Tamura's upper bound couldn't be reached for any k congruent to 0 or 2 (mod 6).

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Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.40cm , Length: 15.20cm
Weight:   0.114kg
ISBN:  

9786131257186


ISBN 10:   6131257183
Pages:   68
Publication Date:   25 November 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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