Professor of Mathematics, Bryn Mawr College
The electric current in a long wire creates a magnetic field around the wire. Magnetic field lines (𝐵) form circles around the wire. The direction of those lines depends on the direction of the current (I) and can be determined using the … Continue reading “The Magnetic Fields of Parallel Wires” →
My project entails naturally occurring shapes such as flowers that were graphed using parametric equations and polar equations to represent circles that were manipulated to create different shapes such as the wings of a butterfly, a flower and a 3D … Continue reading “Naturally Occurring Shapes” →
Both of us are fond of Chinese architecture and were motivated to rebuild three famous Chinese architectures using the Mathematica formulas we learned in class. The Oriental Pearl Tower is a broadcasting and sightseeing tower located at the side of … Continue reading “Soarin’ Over China” →
In this project, we use Mathematica to create a 3D graph of a bicycle. We combine simple geometric pieces together to simulate the structure of a real bicycle. For example, the core structure is mainly formed by cylinders, and the … Continue reading “Mike the Bike!” →
Alan Turing was a well-known computer scientist in the early to mid 1900s. He broke the German Enigma machine’s code during World War II, greatly aiding in the Allied victory, and went on to work on the first stored program computer … Continue reading “Math Behind Turing Patterns” →
Sound waves are created when a force producing the sound (for instance, someone vocalizing) causes air molecules to move. These molecules compress into wave patterns, which interact with the human ear, pushing around tiny hairs inside the cochlea, which sends … Continue reading “Graphing Healing Sound Waves” →
The rose curve develops a formula 𝑟 = 𝑎 𝑐𝑜𝑠 (𝑛θ) that can draw flowers with different numbers of pedals. By changing the value of n, the number of pedals will change. if the number of n is an irrational number, … Continue reading “Happy Valentines Day!” →
One of the many skills taught in Multi is how to mathematically model shapes in 3-Dimensional space. Mathematica is a useful tool that aids in visualizing how multivariable functions can create 3-D shapes. Using this program, we aimed to explore how … Continue reading “Modeling Ice Cream in Mathematica” →
For this project, we investigated how we perceive the shapes around us and how mathematics helps us define them further. We made a 3D model of the studio ghibli character Totoro using the Mathematica function of ellipsoids. We also made … Continue reading “My Neighbour Totoro” →
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 … Continue reading “French Press Using Mathematica” →