Cake - Hanayama Puzzle Level 4

A quarter of this cake has been cut away showing three identical layers inside. This puzzle looks simple, but it is very ingenious. Can you have your cake and eat it too? By American designer Bram Cohen.

Hanayama is known worldwide for challenging puzzles and quality manufacturing. Can you take the pieces apart, then put them back together again? Hanayama cast metal brain teasers have 6 levels of difficulty, and each puzzle is Mensa-rated. Level 4 puzzles are considered challenging by most puzzlers.