Discontinuity Surfaces

thingiverse

These examples are surfaces that exhibit a non-removable discontinuity at the origin. I use them in one of my lessons for my Multivariable Calculus class. **Infinity Surface** has the equation z = y/(x^2 + y^2). Limits at (0,0) include 0, infinity, and negative infinity. **Pinched Surface** has the equation z = 2xy/(x^2 + y^2). At (0,0), limits are 0, 1, and -1. Created with Mathematica. **Infinity Surface** is approximately 102 x 102 x 102 mm. Printed with supports and raft. **Pinched Surface** is approximately 102 x 102 x 52 mm. Printed with supports and raft. See photos. More of my mathematical models can be found on Cults: https://cults3d.com/en/users/abbymath