Fractal puzzles are located in Single Player from the Main Menu. Select the Regenerating puzzle and set the following:
Construction Mode - Turbo
Experience Level - Beginner
Preset - Big (16 pieces)
A 3-Level fractal puzzle is very similar to a 2-Level except you start out with a much higher puzzle count. You start out on the third level with 400 puzzles (technically you should have to complete 400 puzzles to move on to the next level, but I only completed 10 puzzles and the puzzle count was down to 365 already). Each puzzle has 25 pieces, and every 25 puzzles makes up a bigger puzzle piece (16 in all), for when you're on the second level. After those 400 puzzles are completed, you will move on to the second level. This level is made up of all the puzzles within the puzzles, and only has 16 puzzles total. Once those 16 are completed you will be on the final level, a puzzle with 16 pieces. All 3 levels add up to 417 puzzles and should take about 3 hours of total gameplay.