For me, it is interesting because fairly simple means can produce complex (and to me, beautiful) results. It's intrigues me to explore this and see what can be done with it.

It is also particularly interesting to me as a way to explore the features and syntax of a programming language. Maze algorithms are handy (and entertaining), but any algorithm would do. The idea is to implement the algorithm in the language of your choice (preferably one you are are not experienced in) and see how the language lends itself to the implementation.

Naturally, not everyone will share either of these interests with me. But I'm okay with that. :)

Probably because it looks like magic unless you know the trick. I remember making crappy mazes by using a ruler and erasor in primary school. At the time I was sure there was a better way and once I knew it I felt enlightened.