As the second crop on the Brown Turkey fig ripens, it dawned on me that this tree produces fruits without any noticeable flowering like other plants, like peaches, apples, melons, etc.
I did a little searching and found out that figs are very different from other fruits in that, first, it is pollinated by a fig wasp which crawls in through this tiny opening in the base of the fruit and, secondly, the interior of the fig is actually where the flowers are, each bearing a single seed. If you cut the fig open, the flowers appear as fleshy threads. I downloaded a picture of this from Wikipedia as my figs aren't quite ripe enough to pick.
So now you've added some new trivia to use if you ever get on a game show and I will keep a lookout for those tiny little fig wasps.