Volume 7, 2001. 1 - 11. 
Joanne Charlebois
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 on case of a conjecture made by Stein and Szabo.

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Furman University Electronic Journal of Undergraduate Mathematics