Teoria dos quatérnios, rotações e o livro “Alice no País das Maravilhas”

Abstract

In this Final Paper, we bring as a research objective to define the rotations in space with the set of quaternions. Moreover, to accomplish this feat, a historical review is presented before the development of complex numbers, resulting in the set of quaternions. A conceptual and content review on complex numbers is also developed. Furthermore, starting from this review, the set of quaternions is defined and structured, indicating their algebraic properties and the definitions and properties necessary to perform such three-dimensional rotations. Furthermore, in the process of finalizing the work, it is indicated how the quaternions are related in a playful way with the Tea Party of the book “Alice in Wonderland.”