I have a dryer plugged into a (seemingly modified) 10-30 nema outlet.

Instead of the ends of the prongs having a short 45 degree angle before the end of the prong, the dryer prongs seem to have been shaved down so that the width of the end of the prong is a centimeter short than the base of the prong.

When I try to plug a new 10-30 nema plug into this outlet, it stops half way. 

Is there a name for this type of plug? Can I get an adapter for my new plug? Would I risk breaking anything (or burning my house) if I shaved down the ends of the new plug to match the dryer plug so that it fits?