Gabriel's Horn

thingiverse

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 formed 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 initially tried it in vase mode, but it quickly broke apart. 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 displayed in our annual projects fair, it still broke into pieces. One image is a screenshot from Mathematica, showcasing the intricate design of Gabriel's Horn. For more information about this fascinating mathematical concept, please visit the MathWorld entry for Gabriel's Horn. More of my mathematical models can be found on Cults: https://cults3d.com/en/users/abbymath