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Gabriel's Horn

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Creation's quality: 5.0/5 (1 vote)
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  • 1k views
  • 3 likes
  • 42 downloads

3D model description

I created this model of Gabriel's Horn in Mathematica to share with my classes. My students always find this concept fascinating since the volume is finite yet the surface area is infinite. The horn is created by revolving the curve y = 1/x (from x = 1 to infinity) about the x-axis.

Since my printer has a maximum height of 205 mm (not infinity), I made this end at 203 mm. I tried it in vase mode initially, but it broke quickly. I had better success with 2 perimeter shells, 0 top and bottom solid layers, and 0% infill. However, after a year of handling by students and being shown in our annual projects fair, it still broke.

One image is a screenshot from Mathematica.

For more information about Gabriel's Horn, please visit the MathWorld entry for Gabriel's Horn.

  • 3D file format: STL
  • Publication date: 2019/11/05 at 17:29

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Creator

Designs 130
Downloads 2k
Sales US$486
Followers 71

I am a high school math teacher and 3D printing hobbyist. I have been 3D printing since 2017 and enjoy making things for my classes and my own children and home in San Diego, California, USA.

I have a 3D printing sub-site abbymath.com/3DPrinting. See my video on YouTube and my user story written and published by Simplify3D. I design with Mathematica, CorelDRAW, Fusion 360, and Tinkercad. I love my MakerGear M3-ID and my Palette 2S Pro. I have a Monoprice Mini as well.

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