Puzzle, Binomial Cube

Puzzle, Binomial Cube

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This puzzle consists of twenty-seven cubes which are glued together to form one 1 x 1 x 1 cube, three 1 x 1 x 2 blocks, three 1 x 2 x 2 blocks and one 2 x 2 x 2 cube. The sides of the cubes are painted according to a scheme devised by Farrell. The goal is to arrange the pieces to form a cube in which the opposite faces are of the same color - the colors of the outside are red, green and black. There are also two additional 1 x 1 x 1 cubes. Replacing one of these for the 1 x 1 x 1 cube yields a puzzle with two solutions, the second a puzzle with no solutions.
Jeremiah P. Farrell, "Cube Puzzles," The Mathemagician and the Pied Puzzler: A Collection in Tribute to Martin Gardner, ed. Elwyn Berlekamp and Tom Rodgers, Natick, MA: A. K. Peters,1999, 145-149.
Currently not on view
Object Name
Date made
Farrell, Jeremiah P.
place made
United States: Indiana, Indianapolis
overall: 8.2 cm x 6 cm x 6 cm; 3 7/32 in x 2 3/8 in x 2 3/8 in
ID Number
catalog number
nonaccession number
Credit Line
Gift of Jeremiah P. Farrell
Mathematical Recreations
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Medicine and Science: Mathematics
Data Source
National Museum of American History
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