You've just set the large 4-claw, Square stone, WHAT NEXT? => 2 photos.

In this interesting photo, I use 2 steps of filing into one ring!

=>On the upper & lower left claws: is filed into shape with a Triangular file of #4 grit (smooth).

=> The shape is with  (1)semi-circular end (2) flat-front (3) two sides shaped equally parallel. 

=> I always "Bright-Cut" the (2) flat-front claw just to give it a smooth & shiny surface. I will use a FLAT #40 graver for this very delicate cutting. A cloth Polishing Wheel just can't do this careful finishing

 =>The alternate step, on a '4-claw head' is the 'Finishing', as shown here using a #77B, "Cup Bur."

 I will let the extra large, Cup-Bur actually allow the 'bur teeth' to do the precision shaping. When the bur is rotating, make sure that the bur itself is touching all around the tip of the claw.

 

 These claw tips are too high, but just for these display purposes, I've allowed the claws to be left higher than the Table Facet.

And you thought that just setting a Princess-Cut stone was easy?