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Rectangles are considered different if they vary in size or have different locations.
How many different rectangles can be drawn along the lines on a chessboard?
How many of the rectangles are squares?
What happens on an n by n board?
Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
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.