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In this course work I have been asked to find out how many squares will be needed to make up a certain pattern according to its sequence.
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INTRODUCTION In this course work I have been asked to find out how many squares will be needed to make up a certain pattern according to its sequence. I hope to find a formula that could be used to find the number of squares needed to build the next pattern at any of the sequences. I will carry out this experiment on a 2d pattern and then try doing it on 3d pattern. 1st sequence 1 black square 0 white square 2nd sequence 1 black square 4 white squares 3rd sequence 5 black squares 8 white squares 4th sequence 13 black squares 12 white squares 5th sequence 25 black squares 16 white squares 6th sequence 41 black squares 7th sequence 20 white squares 61 black squares 24 white squares 8th sequence 85 black squares 28 white squares 9th sequence 113 black squares 32 white squares In these drawings I have noticed that if we look at the symmetrical sides of the pattern and then add up the...
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