There are only four UIModalTransitionStyles animation effect that can be used to  display the view onto the screen:

modelViewController.modalTransitionStyle = UIModalTransitionStyleCoverVertical;

modelViewController.modalTransitionStyle = UIModalTransitionStyleCrossDissolve;

modelViewController.modalTransitionStyle = UIModalTransitionStyleFlipHorizontal;

modelViewController.modalTransitionStyle = UIModalTransitionStylePartialCurl;