disc cutter die - other shapes?

Hi. I have a disc cutter that cuts various sizes of round discs. It's the
kind that you slide the sheet of metal in and then hit it with a hammer to
punch the disc. I would like to find (or have made) some that would produce
different shapes. My problem is that I don't quite know what to call them.
I have done internet searches on disc cutters, dies, tool and die, punch
dies, punch cutters, and chatted with someone at a tool and die shop who
said they could do it for around $10,000, so I obviously wasn't
communicating what I wanted. Can anyone point me in the right direction for
my search? Any suggestions would be greatly appreciated. thanks!!