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Article Title

Tiling by (k, n)-Crosses

Abstract

We investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient conditions for tilings with certain small values of k. We give a necessary condition for tilings corresponding to nonsingular splittings with general values of k. We also prove one case of a conjecture made by Stein and Szabó in [4].

Faculty Advisor Name

John D. Dixon

Faculty Advisor Institution

Carleton University

Comments

This research was supported by NSERC Undergraduate Student Research Awards held in the summers of 1999 and 2000 under the supervision of Dr. J. D. Dixon. Thanks go to Scott Mutch for his computer programming expertise, and to Dr. Dixon for everything.

Included in

Mathematics Commons

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