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Discontinuity Surfaces

Discontinuity Surfaces 1.jpg Discontinuity Surfaces
Discontinuity Surfaces 2.jpg Discontinuity Surfaces
4 Hl le: rea i tu in | Discontinuity Surfaces
20191114_091912.jpg Discontinuity Surfaces
20180911_060605.jpg Discontinuity Surfaces
20180911_055127.jpg Discontinuity Surfaces
20180915_202012.jpg Discontinuity Surfaces
Infinity Surface.stl Discontinuity Surfaces
Pinched Surface.stl Discontinuity Surfaces
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Creation quality: 5.0/5 (1 vote)
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3D design format
STL Folder details Close
  • Infinity Surface.stl
  • Pinched Surface.stl

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Last update 2019-12-03 at 03:52
Publication date 2019-11-16 at 21:39
Design number 85613
abbymath

abbymath

3D printer file info

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.

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