MathDB
2013 HMMT Guts #9: Building an 2 x 2 x 2 Cube

Source:

March 26, 2013
HMMTgeometry3D geometrygeometric transformationrotationreflectionsymmetry

Problem Statement

I have 88 unit cubes of different colors, which I want to glue together into a 2×2×22\times 2\times 2 cube. How many distinct 2×2×22\times 2\times 2 cubes can I make? Rotations of the same cube are not considered distinct, but reflections are.
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