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Joanna Burton 10s 23rd June 2004 Maths Coursework- Borders QUESTION Figure below shows a dark cross-shape that has been surrounded by white squares to create a bigger cross-shape; The bigger cross-shape consists of 25 small squares in total. 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 cross-shape built in this way. Part 2- Extend your investigation to 3 dimensions. Introduction - I am doing an investigation to see how many squares would be needed to make any cross-shape built up in this way. Each cross-shape is made by using the previous cross-shape and adding another layer of white squares, making all the inner squares black. The first cross-shape in the sequence is a single black square. To start my investigation I must draw the first 7 cross-shapes. This will enable me to see a pattern in the shapes so...

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