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Borders Coursework Introduction: The 2D diagrams below show dark cross- shapes that have been surrounded by white squares to make bigger cross- shapes: The next cross- shape is always made by surrounding the previous cross- shape with small squares. Part 1 Investigate to see how many squares would be needed to make any 2D cross- shape built up in this way. Part 2 Extend your investigation to 3 dimensions. I will be continuing the above 2D sequence until the 9th term, and then forming equations to find out how to calculate the total squares and extra squares used to make any cross shape. When these 2 formulas for the 2D shapes are found, I will investigate further onto 3D cross- shapes, and find the formula for the total cubes used to form that shape. The 3D drawings will be similar to the 2D drawings but all six faces of the cube will be...

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