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Hyperboloid of One Sheet

20191114_133010.jpg Hyperboloid of One Sheet
20191114_132916.jpg Hyperboloid of One Sheet
20191114_132827.jpg Hyperboloid of One Sheet
20191114_133026.jpg Hyperboloid of One Sheet
20191114_135825.jpg Hyperboloid of One Sheet
20191114_135840.jpg Hyperboloid of One Sheet
20191114_134328.jpg Hyperboloid of One Sheet
Surfaces Set Lined Up.jpg Hyperboloid of One Sheet
Surfaces and Me.jpg Hyperboloid of One Sheet
Surfaces Set in Classroom.jpg Hyperboloid of One Sheet
Surfaces Set Summer 2018.jpg Hyperboloid of One Sheet
Hyperboloid of One Sheet.stl Hyperboloid of One Sheet
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Creation quality: 5.0/5 (1 vote)
Evaluation of members on the printability, utility, level of detail, etc.
  • 4.7k views
  • 1 like
  • 7 downloads
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  • Hyperboloid of One Sheet.stl

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Publication date 2019-11-16 at 05:24
Design number 85484
abbymath

abbymath

3D printer file info

3D model description

Exclusively on Cults!

I found this Hyperboloid of One Sheet to be so beautiful that I printed a second one to sit in my living room. My Multivariable Calculus students like it too.

The Hyperboloid of One Sheet also works well demonstrating the relationship among it, the Circular Cone, and the Hyperboloid of Two Sheets. See the additional photo.

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 designed 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.

β€’ Quadric Surfaces Set (all of the below included)
β€’ Parabolic Cylinder
β€’ Circular Paraboloid
β€’ Hyperbolic Paraboloid
β€’ Ellipsoid
β€’ Hyperboloid of One Sheet
β€’ Circular Cone
β€’ Hyperboloid of Two Sheets

3D printing settings

Approximately 193 mm tall at 100% size. The small one was printed approximately 40% scale.

I printed this with 0.2 mm layer height, 0 top layers, 0 bottom layers, 4 outline/perimeter shells, and 0% infill. No supports. No raft.

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