Inspired by the 5-hypocycloid that can "roll" inside of a 6-hypocycloid (as shown in the GIF). To make the vase design, the z-axis takes the place of time for a rotation.
If you look from the right angle down the z-axis, you can see the 6-hypocycloid that is swept out as the 5-hypocycloid moves vertically.
Rolling animation and source code available on [github](https://github.com/SmoothDragon/HypocycloidVase).
This design is used as a building block for my [Hypocycloid Christmas Tree](https://www.thingiverse.com/thing:4022593).
QuanTom
