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A brain teaser to shake off winter doldrums?
If you take a square, there are four ways that you can rotate it so that it occupies the same space. How many ways can you rotate a cube so it occupies the same space?
If you look at it the right way the solution will be immediate. I like this one because it forces you to look at something familiar in a different way. There is also another interesting aspect involving rotation axes that I will discuss when giving the solution.
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