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Hypocycloid Christmas Tree — image 1
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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

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.

See my other Christmas models.

Other spiralized (vase mode) designs I have made.

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