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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?