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Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

A Shapely Network

Age 7 to 11 Challenge Level:

Concentrate on starting from a particular edge at a time and try to record your routes carefully. Perhaps you could make a tally chart showing the shape you started on, the number of shapes or "cycles" you took and the shape you finished on. You will find that you end up going over parts of routes again for different starting points and this will speed up your investigation.

Extra hint - the route starts and ends on the same shape.