Unformatted text preview: 5. A 3Dseptomino is a threedimensional 2 2 2 × × cube with one of the little 1 1 1 × × corner cubes removed. Prove that a n n n 2 2 2 × × cube with any one of the 1 1 1 × × cubes can be tiled by 3Dseptominoes. 6. Prove by induction that 1 1 4 3 3 2 2 1 2 + < + + ⋅ ⋅ ⋅ + + + n n n n ....
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 Spring '09
 WEISBART
 Euclidean geometry

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