i will begin with an introduction to the subfactor classification program, which has two main focuses: restricting the list of possible principal graphs, and constructing examples when the graphs survive known obstructions. i will discuss recent joint work with liu and morrison which classifies 1-supertransitive subfactors without intermediates with index in $(3+\sqrt{5},6.2)$. we show there are exactly 3 examples corresponding to a bmw algebra and two "twisted" variations.