authorea.com/105015

Rubik's Cube

If you are curious, the number of possible positions of a Rubik’s cube is

\(\frac{8!\cdot 12!\cdot 3^8\cdot 2^{12}}{2\cdot 3\cdot 2}=43252003274489856000\)

So it will keep you busy.

In the 1980’s the cube a record holder had solved it in about 20 seconds while today the current record holder solved it in under 5 seconds.

Machines can do it even faster, and you have to imagine some discrete mathematics was involved.

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