Investigate the number of faces you can see when you arrange three cubes in different ways.
We need to wrap up this cube-shaped present, remembering that we
can have no overlaps. What shapes can you find to use?
Which of the following cubes can be made from these nets?
Nico and Daniel from Lower Heath CE Primary
School submitted the following solution:
Notice how they worked methodically and
recorded their results in a systematic way. Can you see how the
results would be different if we were to impose more rules, for
instance only being allowed to visit each vertex once? If there is
no limit to how many times you can visit each vertex, then there
would be plenty more routes that could go on forever! Nico and
Daniel also tackled the second half of the problem:
Excellent work, thank you for sending it in to
us and well done for cracking this tough nut!