Colouring the Edges of a Cube
Each of the 12 edges of a cube is coloured red or blue. Two colourings are the same if some rotation of the cube carries one to the other. How many different colourings are there? Give an integer.
Related problems & prerequisites
Worth solving first
- Two-Color Necklaces 5.0/10
Source: Standard application of Burnside's lemma; no traceable original source. Statement written for AxiomIQ.