7.7.8

Summary:

This puzzle consists of 6 spherical pieces, each with tetrahedral symmetry.
Clicking A,B,C and D rotate 3 surrounding pieces, while they
rotate around themselves, just like planets around a star.

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, and can have any of 12 orientations.
· The sum of twists of pieces around their 4 corners is N×360°=0.
· Total number of possible scrambles is (6!)÷2×(12⁶)÷3=358,318,080.