Motorless flight is a phenomenal thing, as I discovered when I began hang gliding. Surfing on currents of air, as only the most skilled birds can, is quite a delight. Most paper airplanes are like fighter jets, but this model works on the same concept as a hang glider. Instead of a pointed tip to penetrate the air, the leading edge of this model is flat and thick, creating true lift when a breeze passes over it.
A hang glider is a single wing contraption, with a large surface area compared to the amount of weight carried. The weight needs to be carefully distributed so that the glider falls slowly enough that you can catch air currents, and quickly enough that it doesn't stall and fall straight down. The wind, created by falling thermals, deflection, and falling forward, causes lift to develop behind the leading edge, which is straight.
Don't throw this airplane, or it will just crash. Go somewhere high up, and gently release with a small push forward. It should catch the wind, float and fly for a long time. Adjust the tail and alerons to modify the flight behaviour.
Begin like the frog, with a rectangular piece of paper. Fold a waterbomb base on the top square of the model.
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Valley fold the tips of the triangle to meet in the bottom center of the waterbomb base. Notice that this creates a pair of pockets in the tip, which we will fold the other triangles into, centering the weight of the glider near the tip.
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Valley fold the two trianles on the left and right so that they cover the top triangle. Make a strong crease, and unfold.
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Fold and slide those triangles into the pockets in the tip. This locks the nose shape into place.
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Valley fold the glider in half, and mountain fold the wings down, just like a normal airplane. Leave as much wingspan as you can.
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You can do many things, including curling the wingtips, putting a paper clip on the bottom, etc to adjust the flight characteristics of the plane.
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If you would like a tail, to make the glider to tricks like loop-de-loops, rip a small tear in the bottom of the glider near the back.
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Alerons can be created with small tears in the back of the wings.
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If your glider stalls on you, which means that the tip falls straight down and then recovers flight, and then falls down again, adjust the alerons down a little bit. If it falls to quickly, adjust the alerons up.
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Jumping Frog
Bird Base Fold