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
3D design format: STL Folder details Close
- Publication date: 2019-11-05 at 17:29
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 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.
Best sellers of the category Art
Would you like to support Cults?
You like Cults and you want to help us continue the adventure independently? Please note that we are a small team of 3 people, therefore it is very simple to support us to maintain the activity and create future developments. Here are 4 solutions accessible to all:
ADVERTISING: Disable your AdBlock banner blocker and click on our banner ads.
AFFILIATION: Make your purchases online by clicking on our affiliate links here Amazon.
DONATE: If you want, you can make a donation via PayPal.
WORD OF MOUTH: Invite your friends to come, discover the platform and the magnificent 3D files shared by the community!