Compiz
Compiz is a compositing window manager, for advanced effects like rotating cubes and full desktop zoom. It's not part of trinity, this page simply gives some advice, in how to use compiz with trinity.
compiz-trinity
The compiz-trinity package, is really old, don't install it. Compiz coming from your distribution should be much beater.
Bug and workaround
There's an incompatibility with the default window manager (twin). Compiz fails to properly start, when translucency is active in the default window manager, and it's active by default. You need to deactivate translucency in:
trinity control center > Desktop > Window Behavior > translucency
Then you can start using Compiz in: trinity control center > appearance > Window decorations > Window manager
or with the command: compiz --replace