I made a triangle with the pen tool, and cannot edit the anchor handles (the points themselves can be seen and moved with the direct selection tool). Each angle has a white dot inside the shape for pulling in and rounding off the shape... isn't this a "smart shape?" I'm guessing this is why the anchor points are not editable.
Under Object, Expand Appearance is greyed out, and Expand does nothing. Make Compound Path is visible for some reason, but also does nothing. Show/Hide Edges and Show/Hide Bound Box does nothing.
I can't find anything about this online.