This puzzle consists of 6 pieces with 12 points to click.
namely A ~L.
Each clicking flips 3 pieces around the line between the
center and the corner of the triangle.
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
have any of 6 orientations(2 faces ×3 rotations).
· The parity of the sum of flipped pieces coincides always with the permutation parity.
So the total number of possible scrambles is
((6!)×66)÷2 = 16,796,160.
For the same reason, following solutions (odd permutation, and 0 or 6 flips) are not possible.
