Hypocycloid Vase
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Inspired by the 5-hypocycloid that can "roll" inside of a 6-hypocycloid (as shown in the GIF). To make the vase…
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution — Share Alike
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.
This design is used as a building block for my Hypocycloid Christmas Tree.
Print Settings
Printer Brand:
Creality
Printer:
Ender 3
Rafts:
No
Supports:
No
Notes:
Print looks best when done in vase mode.
Category: Math Art