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Discontinuity Surfaces

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Creation's quality: 5.0/5 (1 vote)
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  • 607 views
  • 10 downloads

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

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Creator

Designs 130
Downloads 2k
Sales US$483
Followers 71

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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