Showcased, is a Mathematica model of a French press. A french press is a vessel for brewing coffee without a coffee filter. French presses are very geometrical and can be represented by a lot of functions that we have learned in multivariable calculus. We decided to split the french press up into three parts: the lid, the base, and the “liquid vessel”. The lid contains a sphere and cone, the base contains a cone and a disk, and the “liquid vessel” contains a cylinder and parabolic handle. The functions used in each of these shapes are parametric equations and polar coordinates. By using these types of equations, we were able to create an accurate three-dimensional structure of a french press.
Each part of the french press was plotted separately, using the appropriate corresponding parametric equation. Each shape’s dimensions were carefully chosen to fit correctly in the final structure. The shapes were also made so that the proportions of the objects would be almost identical to that of an actual french press. Next, the “show→plot” function was used to combine each plot (shape) that was made. After the french press in Mathematica was put together, we used the volume function to calculate how much “coffee” would be able to fit in the vessel, which is 27.8 oz.
