Title
Magic boxes and related topics
Abstract
Magic boxes are a 3-dimensional generalization of magic rectangles, which in turn are a classical generalization of the magic square. In this paper, two new generalizations of the magic box are introduced: the magic box set and the magic hollow box. Several necessary conditions and several sufficient conditions for the existence of these structures are examined, as well as conditions which preclude the existence of these structures.
Description
University of Minnesota M.S. thesis. June 2014. Major: Applied and Computational Mathematics. Advisor: Dalibor Froncek. 1 computer file (PDF); vi, 77 pages, appendix A.
Suggested Citation
Lillegard, Michael.
(2014).
Magic boxes and related topics.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/165562.