Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-20T03:30:20.015Z Has data issue: false hasContentIssue false

Systems of Magic Latin k-Cubes

Published online by Cambridge University Press:  20 November 2018

Joseph Arkin
Affiliation:
San Jose State University, San Jose, California
Verner E. Hoggatt JR
Affiliation:
San Jose State University, San Jose, California
E. G. Straus
Affiliation:
University of California, Los Angeles, California
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A Latin K-cube A of order n is a k-dimensional array where

runs through the distinct elements 0, 1, …, n — 1 as j runs from 0 to n — 1.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Arkin, Joseph and Straus, E. G., Latin k-cubes, Fibonacci Quarterly, 12 (1974), 288292.Google Scholar
2. Ball, W. W. R., Mathematical Recreations and Essays (New York 1962).Google Scholar
3. Denes, and Keedwell, , Latin Squares (London 1974).Google Scholar
4. Taylor, Walter, On the coloration of cubes, Discrete Math. 2 (1972), 187190.Google Scholar