Sometimes people talk about code being “beautiful”. I’ve never felt beauty from code, but I’ve felt pleasant satisfaction with well-designed code. Maybe just the same thing?
When I see an instance of good problem solving, I feel a rush of happiness. It sometimes makes me want to physically get up from my desk and cheer as if I was watching a sports event. All I can think of is "this code/solution is fucking awesome".
But software has another kicker like math in that you'd likely need to be familiar with the subject to know the hard problems, present or previous, and why a solution is elegant or beautiful.