Mentor/s
Tina Romansky
Participation Type
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
Comments
Related poster is available as an additional file.
Prize Categories
Best Writing
Poster
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.
Students' Information
Linnea Caraballo, Mathematics and Computer Science double major, Class 2022.
Second Prize, WAC Best Writing 2022 award.