I've had a couple turn out like this, but who's complaining.
This is a Bari fig.  You can tell one side got riper than the other by the slightly jammier texture.  Delicious fig.

 
 
 
 

Frank, I was seeing strange strawberries and bizarre dandelion plants soon after the Fukushima disaster here in Hanover, VA. Can't say it's connected, but there were reports on the Internet from others in other areas of the country with the same two plants showing strange growth.

Edit- I did a quick search and found this explanation- https://en.m.wikipedia.org/wiki/Fasciation

Mike in Hanover, VA

Interesting data, Mike.  I wouldn't mind this happening to my trees more often.  ;)

It's a reward for leading a good life   :)

I'd like to think so, Bob.  Thanks!

Thank you Mike, that was fascinating. :)  Nice fig Frank.

Siamese Twin Figs, LOL

I don't remember who it was but they called  Binocular Figs. I thought it was funny too.

or...BiNucular...hm...anywayzzzz

That's very cool looking

Faceation, I believe this happened to me multiple times a week in my 20's.
(I know I spelled it differently) :)

http://figs4funforum.websitetoolbox.com/post/september-chill-black-and-green-maltese-falcon-and-peters-honey-7091345?pid=1284397867#post1284397867

Last photo in that post has a similarly "doubled" (conjoined) Peter's Honey main crop fig.  It's one I've been taking pics of all season, awaiting its ripening (which is near, provided the weather stays warm enough).  On that same tree, I've got lots of doubled figs (two figs at one leaf node), but most of them have two stems.  This one has a single stem, as yours does.

Mike   central NY state, zone 5a

Very cool, Mike.  I love how that Peter's Honey looks.

Much like yours, Frank.  I think it's interesting the way the stem on yours is sort of partially differentiated, but grown together.  Looks like you can see the initiation of two stems that then grew together pretty early on.  I've seen a couple of them over the years that have really a single stem and split more in the neck.  Not sure what the Peter's Honey will look like inside (hopefully find out when I pick it... with any luck that'll be within a week, but I want to let it really ripen... I like 'em best when they're really ripe).  Fun to see that you've got some that are similar.  Do you trace that tree back to Bari, Italy?

Mike

I see the integration of 2 stems too, Mike.  I hope yours comes out great.
Yes, this variety was given to me from a member here and it traces back to Bari, Italy.  Very similar to MBVS, Gino's, and Dark Portuguese.

Those are called "Twin Figs". Your next project should be to make triplets.