Trimino Maths Coursework

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Trimino Maths Coursework

For this maths investigation, we had to investigate and patterns that we discovered involving the numbers used on a Truman and thereby deduce formulae to help us calculate unknowns. A trimino is similar to a domino yet has three side, as below.

To begin with, I investigated the relationship between the highest number appearing on the trimino and the number of possible combinations. The table below shows the highest number o the trimino and the number of possible triminos.
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I began by taking the difference of the number of combinations, as shown above. As you can see, I had to take three differences before the differences were constant. This meant that the formula I wanted had to contain a cubic function. During my research prior to this investigation, I discovered the formula:

ax3 + bx2 + cx + d = y

I believed I could use this formula to help me discover a formula to link the highest number with the number of possible combinations. I applied to the results I achieved. My working is ...

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