#### Title of Poster or Paper

Quaternion Rotation: A Magical Journey to the Fourth Dimension

Tina Romansky

Paper Talk

#### Abstract

Quaternions are an extension of the complex number system and have a large presence in various applied fields. The most common use of quaternions is to model the rotation of three-dimensional objects. In this paper we will explore what quaternions are, discuss some quaternion history and establish the fundamental concepts of quaternion algebra. This will lead us into a discussion of quaternion rotation, how it works, and why it is the preferred method for rotation by highlighting some common issues with other forms of rotation. We will then analyze original data depicting the speed at which quaternions can be calculated versus other forms of rotation. So let us go on a magical journey to the fourth dimension as we explore quaternions.

#### College and Major available

Mathematics, Computer Science BS

#### Location

Session A: West Campus West Building W2231

#### Start Day/Time

4-29-2022 10:45 AM

#### End Day/Time

4-29-2022 11:45 AM

#### Students' Information

Linnea Caraballo, Mathematics and Computer Science double major, Class 2022.

Second Prize, WAC Best Writing 2022 award.

Related poster is available as an additional file.

QuaternionPoster.pdf (6784 kB)
Poster

#### Share

COinS

Apr 29th, 10:45 AM Apr 29th, 11:45 AM

Quaternion Rotation: A Magical Journey to the Fourth Dimension

Session A: West Campus West Building W2231

Quaternions are an extension of the complex number system and have a large presence in various applied fields. The most common use of quaternions is to model the rotation of three-dimensional objects. In this paper we will explore what quaternions are, discuss some quaternion history and establish the fundamental concepts of quaternion algebra. This will lead us into a discussion of quaternion rotation, how it works, and why it is the preferred method for rotation by highlighting some common issues with other forms of rotation. We will then analyze original data depicting the speed at which quaternions can be calculated versus other forms of rotation. So let us go on a magical journey to the fourth dimension as we explore quaternions.