Is there a way to remove parts of polygons?

I know I could just vertex them to be as small as possible, but that still leaves something visible.

After Ganon, and Captain Falcon perform their side-b's in the air they go into a state I can only describe as helpless.

How can make it so that they don't go into that state?

I'm wondering how to vertex hack Peach's hair so that it basically is like a guy's hair.

I mean without the thing in the box part.

So how would I do it?

Where would I put the extra vertices?



Sorry for having the picture so big 

So, I've been trying to get Peach to do an edited version of her dash attack as her Neutral B, I'm trying to start simple as a noob.

And she actually does it! However, after performing the attack, she snaps back to the place she was before the animation.

Also, when I click the Move Character Animation Flag, she just stays in place.

 :'(

I've read around and I've gathered enough information to guess that it might have something to do with her TransN bone. But no one has ever given a straight answer on how to fix it.

Can anyone please tell me what's wrong?