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A dark cross-shape has been surrounded by white squares to create a bigger cross-shape. The next cross-shape is always made by surrounding the previous cross-shape with small squares.  

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Assignment A dark cross-shape has been surrounded by white squares to create a bigger cross-shape. The next cross-shape is always made by surrounding the previous cross-shape with small squares. Investigate to see how many squares would be needed to make any cross-shape built up in this way. Introduction For my mathematics coursework I have been asked to do a two part investigation. Part one requires me to investigate a formula to see how many squares would be needed to make any two-dimensional cross-shape. The second part requires me to extend the investigation into three dimensions. Each time the cross shape increases in size, border squares are increased. These border squares cover the outside of the original cross shape thus creating a new, larger one. An example is shown below. Equipment In order to investigate the assignment, I will make use of Lego bricks to use them to build my shapes so that I can gather...

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