Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T15:29:21.169Z Has data issue: false hasContentIssue false
  • English
  • Français

Rooks inviolate

Published online by Cambridge University Press:  03 November 2016

D. F. Holt
D. F. Holt*
Affiliation:
Mathematisches Institut, Universität Tübingen, Federal Republic of Germany
Get access Rights & Permissions [Opens in a new window]

Extract

One of the oldest and best known of chessboard problems is to place the largest possible number of similar pieces on the board such that no two of these pieces are attacking each other. In his book Amusements in mathematics [1], Dudeney considered this problem on a generalised square chessboard containing n 2 cells, and proved that for rooks, queens and bishops this maximum number is equal to n, n and 2n – 2 respectively.

Type
Research Article
Information
The Mathematical Gazette , Volume 58 , Issue 404 , June 1974 , pp. 131 - 134
Copyright
Copyright © Mathematical Association 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Dudeney, H. E., Amusements in mathematics, pp. 76, 88, 96. Nelson (1917).Google Scholar
2. Gardner, Martin, Further mathematical diversions, Chapter 16. Allen and Unwin (1970).Google Scholar
3. Madachy, J. S., Mathematics on vacation, Chapter 2. Nelson (1968).Google Scholar
4. Biggs, Norman, Finite groups of automorphisms (London Mathematical Society Lecture Note Series). Cambridge University Press (1971).Google Scholar