What if the Earth's shape was a cube or a cone or a pyramid or a
saddle ... See some curious worlds here.
Stage: 5 Challenge Level:
An insight to this problem will most likely be gained by physically
trying to colour in various regions of the squares on paper, where
you can get a feel for how everything fits together.
Start by working out which parts of the squares are
connected together. If you colour one region of the square, you
will see that the colours of certain other regions of the square
immediately follow by considering connected parts of the
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.