Not sure about limitations on the number of photos allowed in posting, but here are several Glowforge Made boxes with “impossible joints”. A staircase dovetail joint was first. Here’s an attempt at a triangle geometry video. Box opens by rotation.
- Square geometry with rotation opening about center , staircase dovetail;
- Square open with rotation about one corner staircase dovetail:
- Hexagon linear slide staircase dovetail.
- Square linear slide staircase dovetail. This box has a 0.1 inch magnetic pin that locks with a tiny magnet. Upside-down impulse to the box moves pin allowing box to slide open.