Place a third layer of strips and pieces on top of each scrap ring, being mindful to keep the center hole open-first photo. Keep the tip of the blue cone inside the torch flame at least an inch or more above the soldering surface. Heat in a circle half inch away from the scrap ring until the metal slumps and fuses together. After the metal slumps together, move the flame closer to the scrap rings. When the metal starts to get shiny, back away a bit. Move the flame in and out until the scrap rings have melted into a lumpy organic shape-second photo. Be careful. The scrap rings can quickly shrink into a lump if the flame is not controlled. Allow them to cool on the solderite board.
Pro Tip: Argentium can become brittle and break if immediately quenched so wait for the rings to cool. They are cool enough to move to a bench block, which pulls the rest of the heat out of the rings, when they no longer stick to the solderite board. If still stuck, nudge them a bit from the side and they will move without taking chunks of the board with them.
Some jump rings that went haywire during fusing were hiding in the scrap box. Since they fit inside the ½" square, the same process as above was followed to make a more rounded scrap ring.