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Hypocycloid Christmas Tree
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Christmas tree design based on a 5-hypocycloid rotating inside a 6-hypocycloid.
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Model information
- Source
- Printables
- Category
- Home Decor
- License
- Creative Commons — Attribution — Share Alike
The Hypocycloid Christmas Tree is formed by sweeping out 5-hypocycloids inside of a 6-hypocycloid, as their size tapers to zero. The two versions use 2 or 3 5-hypocycloids respectively.

This design uses the pattern of the Hypocycloid Vase, but tapers to zero instead of staying constant.
Vase mode is recommended. Can be lit with a tea light when printed in vase mode with no bottom.