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

cults3d

Seven Cube, Six Cube, Five Cube, Unit Cube: 7^3 = 1^3 + 5^3 +6^3 +1^3 This equation is incredibly compelling, especially when you're working with a 3D printer. A 7-cube is the sum of one 6-cube, two unit cubes, and one 5-cube, namely, 7^3 = 1^3 + 5^3 +6^3 +1^3. The six 6-squares wrap around the 5-cube, leaving space for the two unit cubes to fit snugly into their corners. You see the beautiful connections between arithmetic and geometric patterns here! Each unit cube is a compact 10 mm cube. To build this model, you will need two unit cubes, one 5-cube, and six 6-squares. Consider using "vase mode" when printing to save time and filament usage. Reference: Frederickson, Greg N. (2009). Casting Light on Cube Dissections. MAA Mathematics Magazine, pp. 323-331.