One of the most beautiful aspects of doing math is the flash of insight that lets you out of a mental block.
This may appear surprising to those not in the field but the fact is that research mathematicians fumble around looking for the light switch in a dark room for much of their waking hours. Things usually don’t work out. Being stuck on a problem is the default state.
That’s what makes those moments precious. Suddenly, you see it. A germ of an idea appears in your head, something clicks and you realize — this will work.
My roommate has a wonderful book on photography whose title is the subject of this post. The book has amazing photographs but I also find the title excellent. It is all about the moment, in art and in math.