Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 1^3 + 5^3 +6^3

####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