Anna made the pattern for this balloon in triaxial weaving. The balloon is woven from three layers of paper just like the “Box woven from three layers”. You may go to that post to get more acquainted with this kind of weaving. In particular the round pieces for the top and bottom may be of interest as they are just like the top of the balloon.
If you did not make a balloon before you may watch the video on “ordinary” balloon weaving: http://www.youtube.com/user/PaperMatrix . For the triaxial balloon however, the weaving is different and the basket has been redesigned to make it easier to join with the balloon.
Choose the three colours you like, A, B and C. You need to cut out the swirling arm pieces on Page 1 four times, two times in colour A and two in colour B. Then you need to cut out one flower like piece from Page 2 in colour C. Finally you must cut out the round strip and the basket in colour A.
Start preparing the two full swirling pieces by gluing them together two by two in the same colour. Use the round disks on top to make an accurate fit. Place the piece in colour B on top of the piece in colour A, the arms swirling in opposite directions. Pull forward the arms in colour A from the slid between the arms in colour B. Tighten up your work by pulling all sets of opposite arms originating near the same point. No unused slid must show. Add the flower like piece in colour C on what is to become the inside of the balloon. Turn the work so that the piece in colour C is up. Pull forward the arms in colour B from every second slid in the piece of colour C. Tighten up your work (here there will be unused slids, however they must be as tight as possible and equally long). Turn your work again so that the top centre in colour B is showing. Now you will be on your own doing triaxial weaving as you prefer. After weaving all arms shall be equally long. That may require some pulling and lining up. Fix the edge with glue. Add the round strip considering the pattern. Add the basket. Add a piece of string for hanging.