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Gabriel's Horn

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Creation quality: 5.0/5 (1 vote)
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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 printer file information


License

CC BY NC SA

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Creator

Designs 165
Downloads 6.8k
Sales US$1,117.94
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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.

Learn more about me on HotMakes Episode 60!
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 Prusa MK3S as well. I started a 3D printing sub-site abbymath.com/3DPrinting, but it needs some updating.

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