Packing of R3 by Crosses

Cruz, Catarina; Breda, Ana M. D'Azevedo

http://hdl.handle.net/10400.26/47517

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
Packing of ℝ2 by Crosses..pdf		792.8 KB	Adobe PDF	Download

Send Feedback

Authors

Cruz, Catarina

Breda, Ana M. D'Azevedo

Abstract(s)

The 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.