When I was trying to figure out how rotations would work for my tetris game, this was the first question that I found on stack overflow. Even though this question is old, I think my input will help others trying to figure this out algorithmically. First, I disagree that hard coding each piece and rotation will be easier. Gamecat's answer is correct, but I wanted to elaborate on it. Here are the steps I used to solve the rotation problem in Java.

Can playing Tetris ease our minds after a trauma? A study suggests it can, The Washington Post, 30/03/2017, -mix/wp/2017/03/30/can-playing-tetris-ease-our-minds-after-a-trauma-a-study-suggest-it-can/?utm_term=.3bca17c966db

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Playing Tetris can help in prevention of post-traumatic stress disorder, Hindustan Times (India), 31/03/2017, -and-fitness/playing-tetris-can-help-in-prevention-of-post-traumatic-stress-disorder/story-ShIy6KVFGnUYKKTkP0L55H.html

I'm working on implementing the backend logic behind the classical tetris game, and I'm a bit confused on how a rotation is performed. I understand that you can apply a rotation matrix, but I still have some questions that are perhaps better explained with an example.

In front of the Doctor now was a gleaming cliff made up of different apartment blocks, terraces and observation needles, all built to jostle for a view of the sea, tetrised together, blocking out the rest of the city, except for the odd tower and spire that peeked over. 

Lance Parkin, Doctor Who: The Eyeless, 2010 0852c4b9a8

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