Painting a Cube in Three Colours
Each face of a cube is painted red, white or blue (colours may repeat, and not all need be used). Two painted cubes are the same if one can be rotated to look exactly like the other. How many different cubes are there? Give an integer.
Related problems & prerequisites
Worth solving first
- Colouring the Edges of a Cube 6.0/10
- Black and White Corners 6.0/10
- Rotating a Three-by-Three Grid 6.0/10
Source: Standard application of Burnside's lemma; no traceable original source. Statement written for AxiomIQ.