Hearing the Shape of a Trapezoid Drum

  • Luuk Verhoeven ScienceWorks, Student Research Conference 2016

Abstract

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.
How to Cite
VERHOEVEN, Luuk. Hearing the Shape of a Trapezoid Drum. Student Undergraduate Research E-journal!, [S.l.], v. 2, dec. 2016. ISSN 2468-0443. Available at: <https://journals.open.tudelft.nl/index.php/sure/article/view/1466>. Date accessed: 23 may 2019. doi: https://doi.org/10.25609/sure.v2.1466.
Published
2016-12-08