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What field of mathematics deals with these types of problems?

Asked by inunsure (423 points ) December 22nd, 2013

http://imageshack.us/a/img12/4084/2m7r.png

Could the red block be rotated and exit through exit A? Assuming it can not pass through any of the black lines?

Now I don’t care about this example but would like to read up on similar questions and how can they work out if it could exit by being roatated or not.

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