Parametric Equations, Integration, and Gothic Architecture

We investigated the shapes in gothic window architecture and created a mock-up of a gothic style window from the equations we found using Mathematica. Specifically, we used parametric equations to model the clover-shaped windows that are common motif often found … Continue reading “Parametric Equations, Integration, and Gothic Architecture”

Cooling towers: Why is it in this shape?

The cooling towers usually have the shape of a hyperboloid (as shown in the picture below). More specifically, it is a hyperboloid with inward-curved shape instead of outward-curved shape, which we can call the negative Gaussian curvature. This design is … Continue reading “Cooling towers: Why is it in this shape?”

Modeling Drug Impact Using Multiple Variables

Designing a 3D Representation of Drug Efficacy The purpose behind this project was to potentially create a simple graph that could be used by both consumers and physicians and would inform the consumer or physician on the medication’s effectiveness depending … Continue reading “Modeling Drug Impact Using Multiple Variables”

The Wave Equation in Polar Coordinates and 3D Modeling of Waves

For this project we took the wave equation, which is a partial derivative equation that includes variables of time, space and velocities of the waves. We then took the equation in cartesian coordinates (x,y,z) and converted it into polar coordinates … Continue reading “The Wave Equation in Polar Coordinates and 3D Modeling of Waves”