Laura, that's it! Just a cheapo soldering gun. It seems too hot, and it tends to wander a bit, but it got the job done. I may try a different method for the other radius, such as a battery charger hooked to welding wire through a wood block.
Check out his guy's amazing use of simple hot wire jigs.
http://www.tnttt.com/viewtopic.php?f=55&t=54099&start=0