3.2.26~28

Summary:

These 3 puzzles can be considered as variants of the Dino Cube, since they all consist of 12 movable pieces, located on the edges of the cube, and each move turns 3 edge pieces around one of 8 corners of the cube. But, unlike the Dino Cube, they have orientable pieces(12, 60 and 3 orientations, respectively). While 3 pieces orbit a corner of the cube, each piece spins around itself onto the opposite direction.
3.2.26 3.2.27 3.2.28

Mathematical properties:

· The permutation group of pieces is A12.
· The number of possible scrambles
3.2.2612! ÷ 2 × (12^12) ÷ 3 711,804,396,745,890,201,600
3.2.2712! ÷ 2 × (60^12) 521,341,110,897,868,800,000,000,000,000
3.2.2812! ÷ 2 × ( 3^11) 42,426,848,217,600


Solution: