2 × 2 × 2 Color Cubes

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Using six colors, one per side, cubes can be colored in 30 unique ways. In this paper, a row and column pattern in Conway’s matrix always leads to a selection of eight cubes to replicate one of the 30 cubes. Each cube in the set of 30 has a 2 × 2 × 2 replica with inside faces of matching color. The eight cubes of each replica can be configured in two different ways.

[1] Gardner, M. “Mathematical games: Puzzling over a problem-solving matrix, cubes of many colors and three-dimensional dominoes”, Scientific American, 239(1), 20–31, 1978.

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researchers in the fields of games and puzzles, problems, mathmagic, mathematics and arts, math and fun with algorithms


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