The Intuition for Polar Coordinates and Polar Plots

What are polar coordinates and polar plots? What does it mean for an angle to be an independent variable? This video was my submission for the 3Blue1Brown Summer of Math Exposition contest: https://www.3blue1brown.com/blog/some1 Credits: -------------------- Voice, Animation and Production by Jake Goodman Math and Educational content by Edward Dupont This video was animated using manim (community edition): https://github.com/ManimCommunity/manim Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u