What you see on the photo is my brother's new rubik's cube. He loves solving this kind of puzzle.
Wikipedia's says rubik's cube is a 3D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Erno Rubik. Originally called the Magic Cube the puzzle was licensed by Rubik to be sold by Ideal Toy Corp in 1980.
Fun Fact: There are 43,000,000,000,000,000,000 (that is 43 quintillion) possible combinations.