Circular Cone

cults3d

I'm Excited About Cults! I never thought I'd be able to print a full circular cone since the vertices of the nappes clearly wouldn't support each other. I thought about odd ways of creating supports and eventually 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 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 • Ellipsoid • Hyperboloid of One Sheet • Circular Cone • Hyperboloid of Two Sheets