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I began by consulting the Katerra concept presentation to find all of the dimensions for the legs. 

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Dimensions of the slab leg, as provided in the Katerra concept presentation. All dimensions are in mm.

 

I noted the dimensions present and how they relate in order to convert them into a generalized model of a single leg.

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Notes on the dimensions in each leg and how they relate.

 

I then converted these then converted my hand-drawn notes into MATLAB code and plugged in the values from the concept presentation to create a visual depiction of the model output for these dimensions. This figure verifies that the code successfully models the leg dimensions as given in the Katerra concept presentation. 

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Model output of leg with dimensions from Katerra concept presentation.

 

Currently the model displays the dimensions of the leg, given input dimensions. The next steps are to optimize the dimensions given a minimal number of inputted constraints.