7.2.4

Summary:

This puzzle is a hybrid of 7.7.0 and 7.2.1.

Clicking inner pieces(A,B and C) rotatea 4 pieces by 90°.
Clicking outer pieces(D,E and F) rotatea 3 pieces by 120°.

Solved states:

This puzzle has 6 solved states.

Mathematical facts:

· The permutation group of pieces is S6.
· Any piece can be at any of 6 places, and can be twisted by n×30°.
· The sum of twists is always (n×360°) =0°.
So the total number of possible scrambles is: (6!)×(12^5) = 179,159,040.