Mathematical Christmas Tree - LED Tea Light

The (Almost) Mathematical Perfect Christmas Tree – Now in 3D Print! 🎄

If you thought perfect geometry and festive aesthetics don’t belong together, prepare yourself: this Christmas tree is engineered so precisely that even Pythagoras would nod in approval. Every curve, every angle, every sweeping motion follows a form so harmonious, it almost feels illegal.
 

And the best part? It prints completely support-free!
Yes, really. No messy supports, no cleanup, no tiny plastic annoyances. Just hit start, drop it on the build plate and watch your printer produce a mathematical inspired holiday masterpiece.

The “Master Formula” for the tree

 With cylindrical coordinates:
 r: Radius (distance from the center)
 z: Height (from the base 0 to the tip H)
 ϕ: Angle (azimuth, for the ribbed structure)

 The formula for the radius r as a function of height z and angle ϕ is:

✨ Highlights

• Modern, minimalist, elegant - perfect for anyone who likes their Christmas décor sleek instead of flashy.
• Entirely supportless, thanks to clever geometry, smooth transitions, and optimized angles.
• Five models:
  1. Detailed print model = Mathematic_Christmas_Tree.stl/.3mf and
  2. Vase mode print model = Mathematic_Christmas_Tree vase.stl/.3mf faster prints and tea light.
  3. Small print model = Math_Small_Christmas_Tree.stl/.3mf or 
                                          Math_Small_Christmas_Tree vase.3mf for faster prints.
  4. Swing print model = Mathematic_Swing_Xmas_Tree.stl/vase.3mf
  5. Small Swing print model = Mathematic_Swing_Xmas_Tree.stl/vase.3mf

🎄 Optional

Place a tiny LED tealight inside and watch this tree become a glowing geometric sculpture after dark. Math + holiday magic = perfection.

See also Knotted Christmas tree --> https://makerworld.com/de/models/2052749

⭐ Support

Feel free to check out my other designs here -->
https://makerworld.com/de/@Toni_ThesBer/upload
 

🎅 Happy printing & enjoy a wonderfully holiday season!
Toni :-)
----------------------------------------------------------------------------------------------------------------

The (Almost) Mathematically Perfect Christmas Tree – Now in 3D Print! 🎄

If you thought perfect geometry and festive aesthetics don't belong together, then prepare yourself: this Christmas tree is engineered so precisely that even Pythagoras would nod in approval. Every curve, every line, and every spiral follows an ideal form that is almost too beautiful to be true.
 

And the best part? It prints completely support-free!
Yes, you read that right. No fiddling, no bracing, no removing annoying support structures. Just hit start, drop it on the build plate and watch your printer create a mathematically inspired Christmas miracle.

  The "Master Formula" for the tree:

  With cylindrical coordinates:
  r: Radius (distance from the center)
  z: Height (from base 0 to tip H)
  ϕ: Angle (azimuth, for the ribbed structure)

  The formula for the radius r as a function of height z and angle ϕ is:
 

✨ Highlights

• Modern, minimalist, elegant - perfect for anyone who likes their Christmas décor sleek instead of flashy.
• Entirely supportless, thanks to clever geometry, smooth transitions, and optimized angles.
• Five models:
  1. Detailed print model = Mathematic_Christmas_Tree.stl/.3mf and
  2. Vase mode print model = Mathematic_Christmas_Tree vase.stl/.3mf faster prints and tea light.
  3. Small print model = Math_Small_Christmas_Tree.stl/.3mf or 
                                          Math_Small_Christmas_Tree vase.3mf for faster prints.
  4. Swing print model = Mathematic_Swing_Xmas_Tree.stl/vase.3mf
  5. Small Swing print model = Mathematic_Swing_Xmas_Tree.stl/vase.3mf

🎄 Optional

Place a tiny LED tealight inside and watch this tree become a glowing geometric sculpture after dark. Math + holiday magic = perfection.

See also Knotted Christmas tree --> https://makerworld.com/en/models/2052749

⭐ Support

I’d always happy about a „Download”, „Like”, „Make”, or a wonderful ⭐⭐⭐⭐⭐ rating!

Feel free to check out my other designs here -->
https://makerworld.com/en/@Toni_ThesBer/upload
 

🎅 Happy printing & enjoy a wonderfully holiday season!
Toni :-)