Given the nets of 4 cubes with the faces coloured in 4 colours,
build a tower so that on each vertical wall no colour is repeated,
that is all 4 colours appear.
Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.
Label this plum tree graph to make it totally magic!
To make a Magic W you have to put the numbers 1, 2, ...,9,
one in each circle, so that each row of three numbers has the same
total. Experiment to find as many different magic totals as you can
using the interactivity from the Magic
W problem from May 2003
Prove that if you have a Magic W and you replace each of the
numbers by 10 minus that number then the new W is also magic. What
will its magic total be?