How to translate math equations back to emotions?

Mathematics is the art of giving the same name to different things
Poetry is the art of giving different names to the same thing

—Poincaré and an unknown poet

This post is basically the article Making concrete analogies and big pictures, with just different title. For Vietnamese readers, you can read my example of how I “translate” the connection projective geometry, representation theory, and harmonic analysis in my Tumblr. Its explanation is provided at the end of the big picture article.