3D-Printed Slices and Traces of Functions of Two Variables

I have been using OpenSCAD to generate mathematical objects for 3D printing. Many months ago, I tried using ChatGPT as a coding assistant for OpenSCAD. It was pretty terrible. There was a lot of hallucinating regarding what code OpenSCAD would accept. Recently, I thought I’d try again. It is much better now! I’m teaching Multivariable…

Making the Mandelbrot Set with Excel

The Mandelbrot set is one of the most stunning geometric objects in all of mathematics. In this blog post, I will show how to generate the Mandelbrot set below using Excel. It is also an example of how you can use AI (I used ChatGPT) to help with a task like this. (Here is the…