Discontinuity Surfaces

thingiverse

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