# Why I hate (and love) visualizations of mathematics

I have a love-hate relationship with visualizations of mathematical ideas.

Let’s say I’m trying to learn about a difficult mathematical concept. For this example I’ll use Markov chains because I recently saw a highly-appreciated visualization of Markov chains due to Victor Powell and Lewis Lehe. For now I’ll pretend I’m the typical person who claims to be a visual thinker and the only reason I don’t get math is because nobody is patient enough to explain things in a way I can understand. (Such people are everywhere.)

So I’ve heard the mysterious term Markov chain, and tried to learn about it previously by reading a book. Maybe I want to even write a computer program to “do” a Markov Chain, whatever that means. I go check out the Powell-Lehe visualization and at the end I think “Wow! That was so easy to understand! A Markov chain is just a little diagram with a ball bouncing around,...