Generalizations of Pascal's Triangle
Research on binomial coefficients done as a research intern at the Undergraduate Research Summer Institute at Vassar, under mathematics advisor Professor John McCleary.
Presented at the URSI Symposium (Summer 2014) and the Women in Mathematics in New England conference (Fall 2014).
Tech
- Adobe InDesign
- Adobe Photoshop
- LaTeX
Process
As part of a summer research internship, alongside an advisor and two other classmates, we investigated a variation of Pascal's Triangle. We named this the Henle Triangle after Professor James Henle (Smith College), whose work intersecting mathematics and art inspired this project.
The core concept was: What does Pascal's Triangle look like if the initial seeds are a and b instead of 1 and 1? What patterns can we derive from this variation?