Robot Accessible Tower of Hanoi

A classic puzzle Tower of Hanoi slightly redesigned to be accessible to those clumsy small 3D printed robot arms or little human. A few design considerations:
- Gear shaped handle for robot gripper
- Stacking disks instead of a rod for easy handling
- Cone like socket to make moving pieces easier

If you are not familiar with the puzzle here is the rules from wikipedia:

>The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top, thus