This is something I’ve had to do countless times and it has always frustrated me how clumsy the result was, and how easily it unwraps and lets the disc fall out. I was recently trying to wrap a CD for the umpteenth time and decided to try some different folds, and in doing so was happy to discover that an A4 piece of paper is very close to the ideal width to achieve a nice hexagonal packet.

The steps below can be followed with a blank piece of paper, as long as you have a reasonable eye for placing the disc in the center of the page.

1. Place the disc roughly in the center of the page.

   

2. Fold one side over using disc edge as guide (it’s actually ok if this fold is a bit off)

   

3. Fold the other end back to make a rectangle the width of a disc. At this point you should try to make sure the disc is centered within this rectangle as accurately as possible for the next step.

   

4. Fold one corner into the center (the crease should run from adjacent corner and the edge of the disc).

   

5. Then the opposite, to make a diamond shape.

   

6. Now fold the remaining corners in to the center as well.

   

7. And voila, you have a nice little package with less area than a square, perfect for slipping into a jacket pocket. And if you want to seal it, a single piece of tape in the center (or perhaps one of those little round stickers you find in stationery cabinets) will do the trick.

   

There is a slightly neater way of achieving the same result, but it requires a template and/or pre-folding to get the angles right.