Cruz, CatarinaBreda, Ana M. D'Azevedo2023-10-252023-10-252019http://hdl.handle.net/10400.26/47517The existence of tilings of by crosses, a cluster of unit cubes comprising a central one and arms, has been studied by several authors. We have completely solved the problem for characterizing the crosses which lattice tile as well as determining the maximum packing density for the crosses which do not lattice tile the plane. In this paper we motivate a similar approach to study lattice packings of by crosses.engMathematics of computingEnumerationjournal article10.1145/3343485.3343502