10.25609/SURE.V2.1466
Verhoeven, Luuk
Hearing the Shape of a Trapezoid Drum
Student Undergraduate Research E-journal!
2016
2016-11-18
2016-11-18
2018-10-11
2016-12-08
en
Article
12-487-1466
In this article we take a small step in answering the famous question “Can one hear the shape of a drum?” Recently, Grieser and Maronna have shown that if the drum is shaped like a triangle, the answer is yes.
In this article we investigate this question for trapezoid drums. We define a subset of trapezia and prove that for drums of this shape the answer to the question is also yes. To do this, we need to investigate periodic orbits in a triangle. In particular we prove a lower limit on the length of families of periodic orbits.
Student Undergraduate Research E-journal!, Vol 2 (2016): Student Research Conference 2016