Hyperboloid of Two Sheets

cults3d

The impossible print, The Hyperboloid of Two Sheets, seemed to be a daunting challenge until I grasped the "holder" concept using the Circular Cone. The separate holder in clear emphasizes that the surface is comprised of two disconnected parts together, and this phenomenon fascinates everyone who sees it. The Hyperboloid of Two Sheets also serves as an excellent model for demonstrating its relationship with both the Circular Cone and the Hyperboloid of One Sheet. Viewing an additional photo will provide a clearer understanding of these connections. Unfortunately, the "simply printing infill" idea did not work out for this holder after several tests and variations. In response to this, I designed my own shape, based on a hyperboloid of one sheet, which functions as the holder. Note that detailed notes can be found in the 3D printing settings. I created these models using Mathematica and printed them on my MakerGear M3-ID. Some files are quite large due to my efforts to achieve a very high resolution, and they were all designed and printed during the Summer of 2018. To view the rest of my collection, please click here. These models were designed to be displayed at the same height, making them perfect for classroom discussions, and their size allows students to comfortably handle them and feel the shapes and curves. We frequently refer to these models throughout the course. Models included in this set are: • Quadric Surfaces Set (all of the below) • Parabolic Cylinder • Circular Paraboloid • Hyperbolic Paraboloid • Ellipsoid • Hyperboloid of One Sheet • Circular Cone • Hyperboloid of Two Sheets