Here is another example how to fracture plane with simple linear two-point splines. Points of those splines have to be always perpendicular to the direction of the cut, so they create straight, rectangular lines. Again, it uses MoGraph Selections to fracture further down the way. Movement is achieved by noise - actually two slightly different noises. One is slow and gentle, the other one faster and more hectic.
In that video you linked, all was created by scripting, but I am one of those who as Jed mentioned once “when they see a line of code they run a mile away”, so I used Xpresso.
Hopefully this will point you to the right direction.
MultipleFractures.mp4
MultipleFractures2.c4d