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Math IA - Hyperbolic Paraboloids - Help

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I have to have my IA topic picked out as soon as possible, and one topic that I came up with was finding the relationship between the height of a hyperbolic paraboloid (as a roof) and the weight it can withstand. I will personally engage in this topic by 3d printing different heights and testing them out myself. I was wonder what HL math could be used in this topic, what I have so far is functions (partial derivatives: used in the background information in stress formulas to explain why the hyperbolic paraboloid is a good roof), statistical tests (to find relationships). Any help whatsoever would be appreciated.

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