2D-Diamond and 2D-Center Rectangular Lattice Comparison

Hi All,



Using (Mirror + Translation in 2D).

I see that Diamond and Center Rectangular Lattice in 2D has the same Symmetry i.e:



1)Horizontal Mirror Plane

2)Vertical Mirror Plane

3)2-Fold Rotation Axis.



and Diamond has Smaller Area.



Then why we say Center Rectangular has higher Symmetry and we...



2D-Diamond and 2D-Center Rectangular Lattice Comparison

2D-Diamond and 2D-Center Rectangular Lattice Comparison