7.7.0

Summary:

This puzzle rotates 3 of 6 pieces
around each of 4 centers, A, B, C and D.

Solved states:

There are these 3 solved states.

Mathematical properties:

· The permutation group of pieces is A6.
· Any piece can be at any of 6 places, and can be twisted by (n×120°).
· The sum of twists is always (n×360°).
· The number of possible scrambles is (6!)/2*(3^5)=87480.
· Since the overall rotation of solved states doesn't matter, the number of solvingwise diffrent
scrambles is 4914≒(4860=87480÷18).

Solution:

Any scramble can be solved within 8 moves.
And more than 90% of them, within 5~7 moves.

moves required	number of scrambles
0	1
1	2
2	8
3	48
4	246
5	1,060
6	2,488
7	1,047
8	14
total	4,914

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