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3D Aerobatics or 3D flying is a form of flying using flying aircraft to perform specific aerial maneuvers. They are usually performed when the aircraft had been intentionally placed in a stalled position.
3D aerobatic flying is a typically performed by model aircraft which have been configured with a higher thrust-to-weight ratio of more than 1:1. In fixed wing airplanes large control surfaces assist the aircraft on performing radical maneuvers which allow the aircraft to turn in tighter than conventional turns. This is achieved by having larger control surfaces; rudder, ailerons, and elevator and having greater amounts of throw applied to these control surfaces.
Depending on the type of competition, a pilot may compete in Set Maneuvers where a pilot can choose from a number of maneuvers from pre-published set of moves or Freestyle, where pilots must show their skill within a predetermined environment in a free format.
Pilots often train moves using PC simulators such as RealFlight or other RC flight simulators. This allows the pilot to practice and hone their skills before using the real RC model which may be costly exercise in the event of a crash. Pilots have the ability to plug the controller used to fly the real model to the PC and simulator via a USB link cable thus giving the pilot a better response to the real world controls.
Types of aircraft 
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There are a multitude of Hobby Grade Model Airframes that can perform 3D maneuvers. Many of these models are designed after full scale airframes with slight modifications to accommodate thrust to weight ratios, control surface sizes. Some of the most popular scale models are below:
Extra Aircraft: Extra 260 Extra 300 Extra 330S
Zivko: Edge 540
Yakovlev (Also known as Yak): Yak-54 Yak-55
Sukhoi: Su-26 Su-29
Cap Aviation: CAP 230
AkroTechs Giles G-202
There are also custom made 3D capable aircraft that are not modeled after full scale aircraft.
For instance: Showtime 50 Showtime 4D GP Reactor Twist 3D Thunder 3D
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3D Helicopters are collective pitch and have very high head speeds and they range in size from a few inch blades to over 2 foot long blades. Some of the most popular sizes are 250, 300, 450, 500, 550, 600, 700.
Airplane Manoeuvres 
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Hover You pull the aircraft into a completely vertical attitude and allow the propeller to hold the airplane in the air in plane much like a helicopter. This is the most basic 3D maneuver and usually the first one new modelers want to learn
Torque Roll The plane is made to hover in place, rotating around its roll axis. This is an extension of a Hover whereas the Torque of the engine rolls the airplane.
Elevator The aircraft is stalled with a large amount of elevator up or down. This causes the plane to descend vertically.
Wall The Wall is where the airplane is made to come to a stalled stop to a vertical position from a previous horizontal flight path, usually this is executed prior a Hover.
Alien Wall The same as a Wall but pulled into full vertical position violently at a high of speed.
Harrier A very slow forward flight motion with the nose high at about 45 degrees of attitude.
Inverted Harrier The same as the above, just inverted. Most capable pilots find this easier than a standard harrier due to the wing being above the center of gravity rather than below it.
Harrier Roll Like the Harrier maneuver but with a roll performed simultaneously.
Flat spin A spin induced with full up elevator, full rudder, and full aileron. Once the spin is initiated you will level the ailerons and increase engine speed a bit to pull the aircraft around. This will in turn flatten the spin.
Inverted Flat spin The same as the above but inverted. Inverted flat spins are easier to control, but can be hard to come out of due to orientation, and knowing when to stop the spin. When entering a inverted flat spin, you must apply opposite aileron to which the rudder is going. Once the spin is initiated, you do the same as a standard Flat Spin.
Waterfall The waterfall is a move where the plane is made to pivot 360 degrees in the pitch axes. Ideally this is performed with little altitude gain or forward motion.
Blender Form of entering an inverted flat spin from a nose down attitude. The pilot applies full aileron, then rudder in the opposite direction and full down elevator. The plane will "snap" and then the pilot must neutralize aileron (and in some cases apply aileron in the same direction as the rudder) and the plan will be in an inverted flat spin.
Pop-Top Same as a blender, but going up. The pilot must have a good deal of speed on an upline, then apply full aileron followed by opposite rudder and full down elevator (very similar to the blender). Then neutralize aileron and lessen elevator and the plane will spin while motionless in the air. This menuever has a large "wow factor" because the plan is literally stopped dead in the air for a second or two.
Helicopter Manoeuvres 
- Inside loop. A vertical circle commenced from horizontally and with level flight. A positive pitch is applied throughout the movement so the upper surfaces of the aircraft is pointing towards the center of the circle. The circle must remain perfectly round, with entry and exit to be at the same altitude.
- Outside loop. A vertical circle commenced from horizontally and with level flight. A negative pitch is applied throughout the movement so the lower surfaces of the aircraft is pointing towards the center of the circle. The circle must remain perfectly round, with entry and exit to be at the same altitude.
Pogo A hover that causes the helicopter to climb and descend.
Roll A 360 degree revolution around the longitudinal axis.