Here's where it gets a little tricky. Instead of just sawing off the top of the box like you would in making a normal band saw box, you saw up to a marked point and then saw at 90 degrees to that line to create the overhang.
Here's the way the overhang looks after sawing. As you can see, I cut a little too far into the first wave. This will have to be fixed up later.
The next step is to make a 45 degree cut in the lid and the base. The angle must intersect the exact middle point of the hinge at the pin so the lid will open correctly. Needless to say, this can be very tricky. Again, precise measurement is very important. Of course experience and a little luck doesn't hurt either. I used my table saw which is set up with a very accurate 45 degree crosscut sled. In the past I have also used my router table. My wood craftsmanship is far from perfect, so I wound up doing some "corrections" work on the belt sande to get everything to work properly. No glue yet. This is just a dry fit at this point to make sure all the parts work.
Take off the top and bottom and use the band saw again to cut the box interior out of the middle section. I entered near the corner so it would be easier to glue and hide the entry point. The dark lines on the curved corners indicate that I need to change my saw blade. A rubber backed sanding cylinder on my rotary tool will get these marks out without much effort.
Next, I gave the whole box a light coat of wipe-on polyurethane varnish. In this photo of the back of the box, notice how the 45 degree cut is precisely at the center of the barrel hinge hole. I use epoxy to secure the barrel hinges and open and close the box severall times during the 5 minutes it takes the epoxy to set to make sure the cover sets and opens correctly. After fine sanding, I put a few coats of satin poly varnish on the box as a finish coat.
So that's how I made the box. I probably could have included another 8 or 9 photos, but it is very lengthy as it is. I hope these instructions and personal tips will be of help to you. Let me know if they were.