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Instant Insanity

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.

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Magic Caterpillars

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

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Plum Tree

Label this plum tree graph to make it totally magic!

Magic W

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
Even though this subject is accessible to school students, Magic Graphs is currently an active research field (see Joseph Gallian's website http://citeseer.ist.psu.edu/gallian00dynamic.html which lists all the papers published on the subject).