Tiling by ( k , n )-Crosses
Joanne Charlebois · 2001
Abstract. We investigate lattice tilings of n-space by (k,n)-crosses, estab-lishing 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 Szabo ́ in [4]. 1.