A friend wanted to 3D-print a shape to demonstrate using calculus to find the volume of solids of known cross-section. The shape he wanted was a graph of $sin(x)$ vs $x^2$, where each vertical slice of the intersection was a square. Here’s the graph, with $y_1 = sin(x)$ and $y_2 = x^2$. The blue lines show the edge of each square. He couldn’t figure out how to do this in a CAD program (I’m not even sure if it’s possible), so he asked me if I could write some code to render it.

This post was written in literate Python. Download buildshape.py and run it yourself!