Pythagorean 3,4,5 = 6 Cube(s) Puzzle

Pythagorean 3,4,5 = 6 Cube(s) Puzzle

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I was told this was impossible to solve. A bit tricky perhaps. We all know Pythagorus found 3x3 + 4x4 = 5x5 (3,4,5 right angled triangle), but did you know 3x3x3 + 4x4x4 + 5x5x5 = 6x6x6 This puzzle shows this - you can make all three 3x3x3, 4x4x4 and 5x5x5 cubes OR use all the pieces to make a 6x6x6 cube. I categorised under Toys/Puzzles but it I found the puzzle in a School Mathematics Department on their Open Day so it also fits under Mathematics. BTW the print photographed is one of my very early prints and is a bit on the small side. A more recent and bigger print was even better.

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Puzzles