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Originally Posted by Adam Y.
The museum exhibit Im talking about is in Boston. They also have an extremely large assortment of linkeages and engineering devices on display like the geneva mechanism.
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I've seen that exhibit as well, and it is pretty neat, although most of the stuff there was designed for show. There is also an interesting CVT design there (using a wheel on a disk).
The main reason that non-circular gears haven't been used is that they are very hard to design and make without the help of computers and CNC machines. Unlike gears, you can't just use a single gear cutter to cut all the teeth, since each tooth is a different shape.