Tomorrow I’ll be introducing the intermediate value theorem (IVT) to my calculus class. Recall the statement of the IVT: if is a continuous function on the interval and is between and , then there exists a value such that . In other words, achieves all of the intermediate values between and . This is a very underappreciated theorem…

# Tag: topology

## Topological claymation

For my first post, I thought I’d post a couple of short videos that I made earlier this year. The inspiration was the following sequence of pictures I put in my book illustrating what I call the “double torus clothesline trick.” It seemed like everyone I showed it to had trouble following the sequence of…