Also, all of the cash fell out of my pockets.
The inversion of the parameters is now noticeable. You started with basically a donut with a very wide hole (formed by the pant legs -- I'm ignoring the hole where your waist goes). After the inversion, the pant legs form a donut which is very narrow (just the width of the inside of the pant leg) and is very tall (the height of the pant leg).
You're on the internet. Why are you wearing pants?
And I mean that sincerely - that page has some pretty awesome 'layperson'-level (as much as it can get, I suppose) information on topology and manifolds in particular, for a an interested onlooker.
Typical classy HN stuff :)
It can still be turned inside-out, but it's a little trickier to visualize. You can imagine the hole stretching until you have a pair of identical rings glued together, then it's easy to see that you can shrink the hole the same way except in the other direction. But there's no way to make it look like a sack with holes.
But there are plenty of hypothetical clothes for which this isn't true. Consider a mobius strip - like a sack, there is only one hole, but a mobius strip isn't a sack (and you can't patch it shut).
 I don't want to think about clothing for which this isn't the case, since it would involve the digestive tract.
But I think that falls into the category of "sack with a couple more holes".
I can't find a picture of it. However while this is still a "sack with a couple more holes" http://s7.kmart.com/is/image/Sears/049B018579550001?hei=500&... if you picture having that strap be wrapped around at the point of intersection it can still be unwound. However, if you form a slip knot at the intersection it can not be removed by deforming the garment.
Try getting the Adobe Creative Suite to run on any version of Server. That's a bit of fun ;)