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 .
Faculty Advisor Name
John D. Dixon
Faculty Advisor Institution
Joanne Charlebois, Tiling by (k, n)-Crosses, Furman University Electronic Journal of Undergraduate Mathematics, 7 (2016), 1-11. Available at: https://scholarexchange.furman.edu/fuejum/vol7/iss1/1