Octacube
Encyclopedia
Octacube is a type of mind-teaser puzzle
Puzzle
A puzzle is a problem or enigma that tests the ingenuity of the solver. In a basic puzzle, one is intended to put together pieces in a logical way in order to come up with the desired solution...

made up of eight cubes with colors on the faces. The object of the puzzle is to arrange the eight cubes into a 2×2×2 cube such that all faces show the same color on the inside and all external colors which magneticly touch are the same color. There are seven colors in the puzzle, and each of the eight cubes shows the seven colors, one
per face.

There is some clever mathematics behind this puzzle. It turns out that for the above stated constraints, there are only five possible solutions, and they happen to made up of the same eight
cubes. It also turns out that these eight cubes must all have in common four pairs of adjacent colors. This condition, in fact, is both necessary and sufficient to yield the set of cubes giving the two solutions.
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