Start with one sheet of paper. Flip it over, so that the colored side is facing down. Fold the paper so that the top and bottom meet. Crease, and unfold. Next, fold the paper so that the sides meet. Crease, and unfold. You'll have a cross in the middle of your paper.
Fold the top right and left corners down to the center point. Then Fold the bottom edge up to meet the center horizontal line.
Fold the rectangle up one more time, along the center horizontal line. Make 5 more triangles, so that you have a total of 6. When you flip them over, they should look like this.
Pull the tips of the triangles down just a bit. Slide the rectangular area of the purple triangle into the rectangular area of the pink triangle. Basically the whole purple piece should slide into or behind the pink piece.
Flip the triangles back up along the crease. The pink triangle should come in front of the purple triangle, and the rectangular area of the purple triangle sliding into the rectangular area of the pink triangle. Slide the purple piece in as far as it will go. Continue connecting the triangles, and finally connect the last one in order to form a complete circle.