One other small detail, which I'll add to the last post in a moment, is that the Lakers usually had Bynum sag off on the pick and roll when Rashard Lewis was at the 4, but they would switch Pau on Howard when Battie was at the 4.
Going back to crzy's post about switching on screens, it only really works when you have 2 guys that have similar size & skill sets. While Gasol & Bynum are the same size, Gasol's considerably quicker. Therefore, if you switch when Lewis is at the 4, it means that Gasol's guarding D12...but Bynum's on Lewis, and is probably gonna have to chase him around the perimeter. Yikes.
To presumptuously add to what Eddie Jordan had to say (who's probably the main Princeton offense guy these days)....
The Princeton offense is basically just a motion offense, and it tries to exploit guys that cheat on screens. It's most famous for it's ability to score off of backdoor cuts. There are a ton of screens that are run in this offense, but the offensive player's first responsibility is to see if the defender is trying to jump the screen. If so, you backdoor for an easy layup.
As shown in that video, there's a point where the Center is at the free throw line, and has a guy to his left or right. (the 1/2/2) This is where a guy like Monroe, with exceptional passing ability, is really effective.
But basically...it's a slight variation on the motion offense.
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