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Demi, Hannah, Izobel, Celia, Joseph and Michael from All Saints C of E Junior School sent us their solution to this challenge. They said:First we divided the grid into $12$ compartments each of $9$ squares ($3$x$3$).
They also sent in a net of the cube:
Niharika from Leicester High Schools for Girls told us:I saw the cube turn in the air. It was hard but I enjoyed it.
Mathematicians might call that 'visualising'. Niharika sent in another solution which is the reverse of the route above.
Niharika also tackled the second part of the challenge which involved a cube with coloured squares painted on it. Firstly, she labelled the grid:
She then went on to describe the route:(1, 1) --- (2, 1) --- (3, 1) --- (3, 2) --- (2, 2) --- (2, 3) --- (3, 3) --- (3, 4) --- (2, 4) --- (1, 4) --- (1, 3) --- (1, 2)
Niharika explained that she thought carefully about the symmetry of each of the faces and how an odd or even number of 'tips' might affect each face. Fantastic!
Will the reverse of Niharika's route work too, do you think?