Does ionic crystals have total electric dipole moment?

I have come up with a paradox: Ionic crystals, in which cations and anions form a lattice, seems to have total electric dipole moment!



For example, consider a one dimensional example:

##+ - + - + - ... + - + -##

In the above picture, a ##+## represents a cation and a ##-## represents an anion....



Does ionic crystals have total electric dipole moment?

Does ionic crystals have total electric dipole moment?