Thingiverse
Discontinuity Surfaces
by abbymath
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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.
**Infinity Surface** approximately 102 x 102 x 102 mm. Printed with supports and raft.
**Pinched Surface** approximately 102 x 102 x 52 mm. Printed with supports and raft.
See photos.
More of my mathematical models on Cults:
https://cults3d.com/en/users/abbymath
**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.
**Infinity Surface** approximately 102 x 102 x 102 mm. Printed with supports and raft.
**Pinched Surface** approximately 102 x 102 x 52 mm. Printed with supports and raft.
See photos.
More of my mathematical models on Cults:
https://cults3d.com/en/users/abbymath
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