about voronoi/atom

Dear LAMMPS users ,

I have a question about voronoi/atom command.

As you know the Voronoi construction yields neighborhood relations like this :

(two disks i and j are neighbors if the midpoint of the line connecting their centers is closer to i and j than to any other disk )

Is this definition exactly the second quantity that voronoi/atom command can calculate or not ?

Thanks for your attention.
Regards,

​Saeed.​

Dear LAMMPS users ,

I have a question about voronoi/atom command.
As you know the Voronoi construction yields neighborhood relations like this
:

(two disks i and j are neighbors if the midpoint of the line connecting
their centers is closer to i and j than to any other disk )

Is this definition exactly the second quantity that voronoi/atom command can
calculate or not ?

http://math.lbl.gov/voro++/doc/

Dear Axel , Thanks for your reply .

When I use voronoi/atom command for a hex two dimensional system the second quantity of this command gives 8 !
from doc page : The second is the number of faces of the Voronoi cell, which is also the number of nearest neighbors of the atom in the middle of the cell.
so I think it has to be 6 , Is it right ?!
Regards,
Saeed.

Dear Axel , Thanks for your reply .

When I use voronoi/atom command for a hex two dimensional system the second
quantity of this command gives 8 !
from doc page : The second is the number of faces of the Voronoi cell, which
is also the number of nearest neighbors of the atom in the middle of the
cell.

that last statement only applies to 3d systems.

so I think it has to be 6 , Is it right ?!

no.