Publications and Research

Document Type

Poster

Publication Date

12-3-2020

Abstract

Lissajous curves, named after Jules Antoine Lissajous (1822-1880) are generated by the parametric equations π‘₯=π΄π‘π‘œπ‘ (π‘Žπ‘‘) and 𝑦=𝐡𝑠𝑖𝑛(𝑏𝑑) in its simplistic form. Others have studied these curves and their applications like Nathaniel Bowditch in 1815, and they are often referred to as Bowditch curves as well. Lissajous curves are found in engineering, mathematics, graphic design, physics, and many other backgrounds. In this project entitled β€œParametric Art” this project will focus on analyzing these types of equations and manipulating them to create art. We will be investigating these curves by answering a series of questions that elucidate their purpose. Using Maple, which is a software for mathematics we can graph these curves and analyze them to best give an overview of Lissajous curves.

Comments

This poster was presented at the 33rd Semi-Annual Dr. Janet Liou-Mark Honors and Undergraduate Research Scholars Poster Presentation, Dec. 3, 2020. Mentor: Prof. Satyanand Singh (Mathematics).

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