Gabriel's Horn

cults3d

I created this model of Gabriel's Horn using 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) around the x-axis. Since my printer has a maximum height of 205 mm, I limited this end at 203 mm. Initially, I tried printing it in vase mode but it quickly broke. However, I had better success with two perimeter shells, no top and bottom solid layers, and zero percent infill. Despite being handled by students for a year and displayed in our annual projects fair, it still managed to break. One image shows a screenshot from Mathematica. For more information about Gabriel's Horn, visit the MathWorld entry on Gabriel's Horn.