by Cassie Kloss | Mar 21, 2024 | Math Seminar, Spring 2024

The Catalan numbers are one of the most important sequences in combinatorics, which studies the mathematics of counting and arranging finite discrete structures. Combinatorics is an essential branch of mathematics as it provides efficient techniques for enumerating...
by Cassie Kloss | Dec 18, 2023 | Fall 2023

In my talk [given October 25], I discussed the Fibonacci number sequence and its unique connection to Pythagorean triples. A Pythagorean triple contains three positive integers (a,b,c) that satisfy the Pythagorean theorem for a right triangle. My primary focus will be...
by Cassie Kloss | Nov 15, 2023 | Fall 2023

In my talk, I will explore the relationship between the Fibonacci numbers and the golden ratio. The golden ratio is an irrational number that often emerges in various fields, including nature, art, architecture, and geometry. My talk is primarily based on the...