Cool Functions
Coding and videos for all functions were created using Wolfram Mathematica 7.0 developed by Wolfram Research, Inc.
The Cantor set is well-defined and explored in the book
An Invitation to Real Analysis. The following,
known as the Cantor function, is an interesting function created from the Cantor set.
The following two functions which are continuous at all points but differentiable nowhere:
The next function is a space-filling curve WHAT IS IT, FILL THIS OUT. Click the video below to see the first eight iterations of the curve.
While the code is original it uses a Mathworld package developed for Mathematica by Eric W Weisstein working in conjunction with Wolfram Research, Inc.