132 when you have a directional bias (trade puts for bullish & calls for bearish) 121 when you have a neutral bias (price likely to stay in a defined range) ***Not always but most often.
I think there is plenty of post by @destriero about it. there is also one page where one guy collected all the related threads: https://www.elitetrader.com/et/threads/the-staggered-butterflies.329827/page-3
Thanks for posting this. Upon some more reflection I think that the 132/231 is about skew steepness more than anything else.
yep I think that the 132/231 fly is used instead of the 121 when there is a directional assumption and skew is steep.