Spray a fine mist of water onto the rug around all of the curled edges. It is not necessary to fully saturate the rug, but do get it damp.
Place the bricks on the edges of the braided rug that are curling. Use as many bricks as necessary to make the rug lay flat. If you are concerned that the bricks may get your rug dirty, place a sheet of waxed paper in between.
Allow the rug to dry with the bricks holding it flat, then remove the bricks.
Repeat this procedure whenever your braided rugs begin curling.