Here are puzzles constrained to simultaneous radial movement of their three pieces. Assembly requires alignment of their planes, edges, and points before simultaneous radial motion of the parts.
The first geometry was shown in https://www.instructables.com/Hexagon-Puzzle/
My kitty engrave version used four layers of 1/8 inch thick material while the bird engrave used five layers to prototype a cavity for the assembled box. Alignment of pieces used round toothpicks.
Adding another layer and making a storage chamber gave the prototype shown below.
Adding another layer and making a storage chamber gave the prototype shown below.
The second geometry is my version of the puzzle box shown in https://www.youtube.com/watch?v=O6TrbjskKHg
Eight layers of 1/8 inch thick material aligned with toothpicks was used.
