Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3
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####Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3 This is **irresistible**, especially when you have a 3D printer. A 7-cube is the sum of one 6-cube, one 5-cube, and two unit cubes, namely, **7^3 = 1^3 + 1^3 + 5^3 +6^3**. The 6-cube is sliced into six 6-squares, which wrap around the 5-cube, only to leave two corners for the two unit cubes to fit in! Here you see the beautiful connections between arithmetic and geometric symmetries! Each unit cube is 10 mm ^3. **You need two unit cubes, a 5-cube, and six 6-squares to play around**. Please consider using **“vase mode”** when printing, to save time and filament. ####Reference Frederickson, Greg N. (2009). Casting Light on Cube Dissections. *MAA Mathematics Magazine*, pp. 323-331.
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