Also found a couple of these.
The real way to bend acrylic is with water-cooled heat pipes.
A long heat element is exposed on one side - the top - while all other three sides are hollow steel pipe with water running through it.
here it is in profile.
You set your jig up, lay the sheet acrylic over the top and a line is heated through. then you get a long block of wood or metal with a square edge and bend the acrylic over it, ever-so slightly over bending it. Keep the acrylic in this position after bending it, keeping the squaring jig set up.
The rounding will happen naturally as it is an inherent property of acrylic.
To get more sharper corners, you can score the underside of the sheet with a circular saw or router set up under a bench. This will weaken the acrylic and make it more difficult to bend without snapping or breaking.
The main thing you need is care.
Of course this isn't at all helpful, because you want to do it at home.
Anyway it shouldn't get cracks or discolouring if it is quality acrylic: methyl methacrylate.
You may however get small bubbles forming within the acrylic if it is heated too much too quickly.
If you are going to try it i'd suggest doing it like Rybags has explained above, but make sure that the heat is only applied to a small section of acrylic. You can 'mask' the acrylic with wooden blocks so that only the exposed area will be heated. In addition to this, peel off the masking paper only on the area that you will be heating, on both sides of the acrylic. I suggest using a long metal ruler or straight edge to tear it away.
Maintaining a straight edge - after bending, keep the sheet in the jig until it is cooled. It is very important to maintain the pressure on the bend, on both sides.
Maintaning the bend: acrylic is a thermoplastic which retains it's shape after heating and reforming. Other plastics are less forgiving. Simply make sure that the bend is done right in the first place, and let the acrylic cool of it's own accord. Don't muck with the heating or cooling too much or you will warp it.
here is an image i googled that could help.
It's a pretty good way of setting up a bending jig. You could use a smaller diameter round bar, but the acrylic is naturally going to form a small radius even when bent around a square edge. Don't go *too* square though, as it might dent the acrylic.
Like I said you'd want to clamp heavy square-shaped stuff around it after it has been bent in order to maintain it's shape while it cools.
I lay no claim to any of this. Just wanted to pass the info on.