Hoping Robert tames his emotions so this thread doesn't go off the rails.
Anywho, lets think about this.
Take the broken-wing fly, then take the 132/231. They are very similar, as we all know. But lets take a lookie...
Broken-wing flies have an "appended wing" attached. Lets say you're looking at the 117/122/127 put fly in $AAPL
Instead of going with the natural, you decide to skew the risk. Thus you sell another put vertical spread (112/117) creating a 112/122/127 broken wing put fly. Now of course this would be initiated as a complete package, not separate orders.
Now notice the +112/-117 put spread is farther out, outside of the fly. Now take a look at the 231 put fly. Start with the natural fly: 117/122/127, but instead of the appended wing outside, just sell it within the body, so you're selling two 117/122 put spreads. The difference is with the broken-wing you are selling it father OTM, while the 231 is closer ATM. And yes, we can break the wing of the 132/231 also, but this is good for illustrative purposes. Understanding the verticalization of vertical spreads will help the neophyte understand the synthetic relations of each leg and body.
Heres an example visually.. using the 106/108/110 natural fly as the example