Cut four pieces of the 2x2 at 17-1/4" for the legs, and cut ten pieces of the square dowels at 2-1/2" long. (Two of the apron strips are for the center stretcher.)
Don't forget to pre-drill the holes for the screws in an area where they won't conflict with the other screws!
Secure the dowels to the outside edge of two adjoining faces on each leg using glue and screws. Space the screws so they don't interfere with one another!