Yes. This cut relies on the symmetry of the square for its unique ‘hall of mirrors’ effect. If you’re looking for a stone that features the open facets and understated elegance of the Asscher cut, consider the rectangular emerald cut.
Another alternative is to set an Asscher cut diamond in a diamond-like orientation with the prongs holding the sides instead of the cut corners (see an example of the orientation here). Because these corners are visible, the gem will have more of a rounded appearance.
To chat about creating a ring like this, please contact Peter Norman custom jewelers.