Oh, and when I was talking about a rotary radial I was talking about one of these;
http://www.youtube.com/watch?v=ku1NIcUmdj0&feature=related
The cylinders are arranged around the radius of a circle/the crankshaft just like a radial engine. But instead of the crankshaft rotating, it is fixed and the cylinders rotate around the crankshaft. Super ****ing cool stuff. They got pretty ****ing neat towards the end of World War I.
http://en.wikipedia.org/wiki/Siemens-Halske_Sh.III <---- Reactionless rotary radials used contra rotating props. The crankshaft was allowed to rotate in the opposite direction of the cylinders. One prop on cylinders, one on the crankshaft. This was done to curb the aircraft's tendency to yaw in the direction of cylinder travel. It was also a method of cheating in a way. If the crankshaft spins at 800 rpm and the cylinders spin at 800 rpm your propellers effectively move at 1600 rpm. The Sh III didn't employ contra rotating props, but it still acted to cancel out the torque effect. It was also one of the fastest engines on an aircraft in WWI.
A rotary engine like what most people think of is a Wankel engine, which Mazda has managed to use with a degree of success. Like any heat engine design however, it has serious flaws.
I'd also like to take the time to mention Turbo Compound engines. These aren't a typical turbo-supercharged engine.
http://en.wikipedia.org/wiki/Turbo-compound_engine The exiting exhaust gases spin a turbine that acts on the crankshaft to recover lost energy/power. You're going to start seeing these on Diesel engines, because they increase horsepower without increasing fuel usage. I've heard of designs that feature an igniter of some sort to make the thing almost operate like a turbine engine strapped to the bottom of a reciprocating engine. It's ridiculously neat OLD technology.