College of Liberal Arts & Sciences

# GAUSS Seminar

Speaker:

Amrei Oswald

Topic:

Math and Spirographs

**Abstract: **

A spirograph is a geometric drawing device that produces mathematical roulette curves of the variety known as hypotrochoids and epitrochoids. In this talk, we will derive a parametric equation to describe hypotrochoids. Then, we will look at hypocycloids with $n$ cusps, their connection to $SU(n)$, and how they can roll snugly inside of each other. This talk should be very accessible to undergraduates. The only prerequisites are some familiarity with matrices and complex numbers.

Event Date:

March 11, 2020 - 3:30pm to 4:20pm

Location:

210 MLH

Calendar Category:

Seminar

Seminar Category:

GAUSS