Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-12T02:41:52.628Z Has data issue: false hasContentIssue false
  • English
  • Français

Counting Lines and Planes in generalised noughts and crosses

Published online by Cambridge University Press:  22 September 2016

Paul Taylor
Paul Taylor*
Affiliation:
Royal Grammar School, High Wycombe, Bucks
Get access Rights & Permissions [Opens in a new window]

Extract

In the familiar [32] game of noughts and crosses or ticktacktoe, there are eight ‘winning’ Lines. These are the lines having the maximum number, 3, of Points in a 3 × 3 lattice, as in the figure.

Type
Research Article
Information
The Mathematical Gazette , Volume 63 , Issue 424 , June 1979 , pp. 77 - 82
Copyright
Copyright © Mathematical Association 1979

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

‡ The convention will be adopted that ‘Line’ will mean a line with the maximum number, k (in this case 3), of points. Similarly ‘Plane’ will denote a plane having k2 (or in general kr in r dimensions) points. In the same way, ‘Point’ will indicate a lattice point.