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Gabriel's Horn

20190819_100042.jpg Gabriel's Horn
Gabriels_Horn_Pic_Edit.jpg Gabriel's Horn
20200713_125311.jpg Gabriel's Horn
Gabriels_Horn_Image.JPG Gabriel's Horn
Gabriels_Horn.stl Gabriel's Horn
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Creation quality: 5.0/5 (1 vote)
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  • Gabriels_Horn.stl

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3D model size X 50.7 Γ— Y 50.7 Γ— Z 203 mm
Publication date 2019-11-05 at 16:29
Design number 84031
abbymath

abbymath

3D printer file info

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.

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