How to rotate a periodic structure in LAMMPS?

I want to rotate a periodic structure like this one

by a 10 degrees around a z-axis (perpendicular to the plane) that goes through the center of the simulation box.

After writing this in LAMMPS,

variable xc equal "lx/2."variable yc equal "ly/2."variable zc equal "lz/2."displace_atoms all rotate ${xc} ${yc} ${zc} 0 0 1 10 units box

I get the following:

which is easier to see if I replicate it:

From this, I understand that the rotate command in LAMMPS rotates the atoms in the simulation box.

How to make a rotation that as if an infinite plane is rotated, and only a finite simulation box is cut out of this plane? Is it possible to make such rotation after which the boundaries are still periodic?