7.2.5

Hello World

Summary:

This puzzle consists of 6 pieces with 3 points to click, namely A,B and C.
Clicking one of these points rotate 4 pieces by 90° while each piece flips around the line between the center of rotation and its own center.		→ [A1] →
Pieces with (Y ,Y) shape borders are flipped.

Solved states:

There are these 6 solved states.

Mathematical properties:

· The permutation group of pieces is A6.
· Any piece can be at any of 6 places, can be fliped, and can be twisted by (N×60)°.
· The sum of twists of pieces by 60° is always even.
· Number of flipped pieces is always even.
Therefore, the total number of possible scrambles is (5!)×(12⁶)÷4=89,579,520.