Rolling ellipses of different dimensions to measure their perimeters

Rolling ellipses of different dimensions to measure their perimeters
The red line is the curve of perimeter versus how squashed the ellipse is. The curve is defined by an elliptic integral, and cannot be expressed with elementary functions.

Code:
https://pastebin.com/q4HpB39R

Credit: matthen
http://blog.matthen.com/

#math #geometry #ellipse #science