Most bandsaws, jigsaws and scrollsaws have tilting beds that allow you to cut your material at an angle. Woodworkers exploit this to turn thin boards into taller, more substantial objects while minimizing waste. The common trick of turning boards into bowls is based on a simple principle, as illustrated in this Instructable by Jor2daje: Use a bandsaw to make concentric cuts at such an angle that the outside edge of each piece is wider than the bottom edge of the next piece, so that the pieces can be inverse-stacked.
Those with scrollsaws can one-up the aforementioned trick. By angling the bed at just a few degrees off of 90, they can make one continuous spiraling cut, turning the outer edges of their board into a ribbon, enabling this:
Add a dash of kitsch, and you've got Etsy-friendly items like this one:
And if you've got a lot of patience, you can get seriously elaborate:
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Also fun to do with a laser: