Three gents from the United Kingdom built a paper airplane, launched it into space, and took some pictures. The plane was made out of paper straws and stiff paper joined with hot glue, which created ribs. Those ribs were covered in a painted layer of paper. The plane, called the Vulture 1, measured in with a 3 ft wingspan. The plane was launched by a helium balloon and reached a maximum altitude of about 89,600 feet (27,300 meters), or nearly 17 miles (27.3 km). The whole thing cost about $13,000.
While the plane was in space, it took pictures and video images. Go to images.google.com and search for 'vulture 1 paper space airplane' and you'll find a lot of neat stuff. In the meantime, I borrowed the attached image from the Register.