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Find out the relationship of the dots inside a shape of different sizes.  

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DOTTY PATTERNS AIM: I have been set a task for my coursework to find out the relationship of the dots inside a shape of different sizes. PLAN: I have planned to use a specific quadrilateral shape for my investigation in which lines will be 45o (diagonal), one dot to the other; touching each others ends and being closed from all sides. I will be using the following technique for my investigation. First of all I will commence with the shape-size being 1 cm2 increasing it every step by another 1 cm2. At the same time I will be counting the dots inside that particular shape. I will be using this method until I find a pattern; thereafter I will generate a suitable formula from that pattern. METHOD: I will be using more or less 5 diagrams and possibly the 6th one for my prediction. ...

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