I think it's catnip for programmers, myself included. (See also: boids, path traced renderers, fluid simulations, old fashioned "generative"/plotter art, etc. - stuff with cool visual output)
Boids, Game of Life, Genetic Algorithms, Pixel Shaders...
All so satisfying to play with.
One of my favorites was when I was sure I was right about the Monty Hall problem, so I decided to write a simulator, and my fingers typed the code... and then my brain had to read it, and realize I was wrong. It was hilarious. I knew how to code the solution better than I could reason about it. I didn't even need to run the program.
