I think you mean rotary vs. piston.
www.howstuffworks.com search for rotary engine.
Read that article until you get it. There are different rotary engines just like how there are different piston engines so it's kind of hard to compare. Mostly the 12A (carbeurated 2 rotor used in the first generation RX7), 13B (naturally aspirated, EFI, 2 rotor found in the second generation rx7 1986-1991), 13B-T (turbo 2 rotor with efi found on the second gen rx7 turbo2 model), the 13B-REW found on the third gen rx7 (twin turbo 2 rotor with EFI), and the 20B which is off the Mazda Cosmo (3 rotor, twin turbo, EFI...costs about $10,000 to $20,000 to swap into a second or third generation rx7.)
It's as hard to generalize all rotory engines as it is to generalize all piston engines. It's just a design. The rotary engine is still in it's infancy compared to the piston engine thus requiring more maintenance and still not as reliable as most 4 cyl engines. Anyways, read up and come back with any questions...I'll try to help the best I can.