The wheel part reminds me of something I learned from 3blue1brown:
“Pi seems to magically appear everywhere, until you realize that wherever it appears there is usually a circle hiding”
Usually. Sometimes it really does seem magical. Sometimes the circle is very well hidden. Maybe we just haven’t found it yet.
Honestly I’ve learned more math from that guy than any math teacher I ever had - one of the few YouTube channels I would absolutely recommend to anyone scientifically inclined at all. He’s an incredible explainer.
Blow your mind with the video where he calculates pi through the repeated elastic collision of a pair of blocks… One digit at a time. If that sounds bizarre - yeah, watch the video.
https://youtu.be/jsYwFizhncE?si=swB8l4IpY6j6AeN-&t=190
The equations for conservation of energy and momentum can be mapped onto a circle in “phase space”
