# Mathematical Patterns for Tower Takeover

So I have recently begun working with my team on figuring out the strategy of the newest game, tower takeover. We have begun working on some building and have a shell of an autonomous done, but strategy is what personally has been the most captivating. As the scoring seems to be, 1 cube appears to be worth 1 point, until a cube of that tower is placed. This increases all cubes in the goal zones point values by 1. Continuing with this, I have listed some hand made tables (with a few written mistakes that were corrected verbally) representing the point values of certain cubes. This has boiled down to a few different equations and one basic rule of thumb when working with cubes or towers. The equations are if you are working with an odd number of a single color of cubes, the number in your goal must be 1 more than the number in your tower. If you are working with an even number of a single color of cubes (your 2nd, 4th, 6th and so forth), the number in your goal must equal the number of cubes in your tower or must be 2 more than the number of cubes in your tower. This then can follow a simple pattern of 1 in goal, 1 in goal, 1 in the tower, 1 in the tower, 1 in goal, 1 in goal and so forth. This rule does only apply when working with a single color of cubes but resets each time. This may be a very primitive way to view at it, and I am by no means someone with a strong mathematical background, but I was hoping to share to help, and also see if I am missing something or if the idea can be expanded upon. Thank you for reading, and best wishes, 7619C! 1 Like

So are you trying to model a strategy mathematically? I think adding labels to the score system you have would make it easier to understand.

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The paper itself was done hastily, as I had no clue at the time what direction the idea would take. The strategy itself can be modeled mathematically, by using equations like g=t+1. And what do you mean by labels to the score system?

Well right now, the spreadsheet you have just looks like a bunch of numbers thrown on a paper. Adding a label to specify what the numbers mean would be helpful.

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Oh, that makes sense. So the C at the top stands for total number of cubes, since the spreadsheet later became a representation of the most efficient use of each cube. The G/P/O columns are for green, purple, and orange cubes in the goal zone, but having more than one color was not needed, as this was made to represent 1 color at a time. The Tow column shows the number of green cubes in a tower, and the Tot column shows the point total with the corresponding goal cubes and tower cube numbers.