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'Nine Colours' printed from http://nrich.maths.org/
Each colour must appear on all six faces of the larger cube.
Small cubes can be placed
- at the corners of the large cube,
- on the edges of the large cube,
- in the middle of the faces of the large cube,
- or at the very centre of the large cube.
How many faces of the small cube will be visible in each of these
A small cube will need to go in at the very centre of the larger
Where will the other two small cubes of the same colour go?