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3D model description
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I never thought I would be able to print a full Circular Cone since the vertices of the nappes clearly would not support each other. I thought about odd ways of creating supports and eventually I had the idea to create a cone holder (in the shape of a hyperboloid) using clear filament. However, rather than designing a special holder, I printed the holder hyperboloid using only infill. See the important note in the 3D printing settings.
The holder works great because it positions the nappes of the cone properly for viewing a full cone, yet we can remove the individual parts to talk about half of the cone or to have the students feel the shape.
This was exciting to put together and inspired me to attempt the Hyperboloid of Two Sheets which had seemed even more impossible considering that it is a disconnected surface.
The Circular Cone also works well demonstrating that it is the degenerate hyperboloid between the hyperboloid of one sheet and the hyperboloid of two sheets. See additional photo.
The included Circular Cone STL file is the one that I used and it may look strange since it is the full cone. However I stopped the print after the lower nappe (at half of the height). I printed the nappe twice.
Created with Mathematica and printed on my MakerGear M3-ID.
Note: Some files are rather large since I was working to get a very high resolution. I created this in Summer 2018.
See the rest of my collection. They were all designed and printed to stand at the same height, to work well for display by me during discussion in front of a classroom, and to be large enough for students to get their hands on them to really feel the shapes and the curves. We refer to these often throughout the course.
• Quadric Surfaces Set (all of the below included)
• Parabolic Cylinder
• Circular Paraboloid
• Hyperbolic Paraboloid
• Hyperboloid of One Sheet
• Circular Cone
• Hyperboloid of Two Sheets
3D printing settings
Approximately 193 mm tall at 100% size. The small one was printed approximately 40% scale.
Important Note: The Cone Holder was printed using only infill. I used 0.2 mm layer height, 0 top layers, 0 bottom layers, and 0 outline/perimeter shells. See the screenshot for my infill settings on Simplify3D. No supports. No raft.
The included Circular Cone STL file is the one that I used and it may look strange since it is the full cone. However I stopped the print after the lower nappe (at half of the height). I printed the nappe twice. For the cone part I used 0.2 mm layer height, 0 top layers, 0 bottom layers, 4 outline/perimeter shells. Infill 0%. No supports. No raft.
- 3D file format: STL
- Publication date: 2019/11/16 at 06:21
- calculus iii
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 have a 3D printing sub-site abbymath.com/3DPrinting. 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 Monoprice Mini as well.
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