Number Theory Seminar

Presented by: Michelle Bouthillier

Title: “Representations of Epitrochoids and Hypotrochoids”

Abstract:

Representations of a given curve may consist of
implicit or parametric equations, along with any envelopes that produce that curve. We will describe the different methods of passing from
one of these representa-tions to another, then apply these methods with regards to epitrochoids and hypotrochoids. These are the families of
curves that are produced by tracing the path of a point affixed to a circle as it rolls around the inside or outside of a stationary circle. When
the point affixed to the moving circle is on the circumference, epicycloids and hypocycloids are produced. We will provide several conjectures
and results on the represen-tations of epitrochoids and hypotrochoids, with emphasis on epicycloids and hypocycloids, including their implicit representations and their con-struction as envelopes.

 

Category

Lectures, Seminars

Time

Starts:
Ends:

Location

Seminar Room #227 Chase Building

Cost

Free

Contact

Ellen Lynch