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3D model description
These models are examples of surfaces that have a nonremovable discontinuity at the origin. They are examples I use in one of my lessons for my Multivariable Calculus class.
Infinity Surface has the equation z = y/(x^2 + y^2).
At (0,0) you can find limits of 0, infinity, and negative infinity.
Pinched Surface has the equation z = 2xy/(x^2 + y^2).
At (0,0) you can find limits of 0, 1 and -1.
Created with Mathematica.
3D printing settings
Infinity Surface approximately 102 x 102 x 102 mm. Printed with supports and raft. See photos.
Pinched Surface approximately 102 x 102 x 52 mm. Printed with supports and raft.
- 3D file format: STL
- Last update: 2019/12/03 at 03:52
- Publication date: 2019/11/16 at 22:39
- 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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