Skip to Main Content
Visualizing Quaternions
book

Visualizing Quaternions

by Andrew J. Hanson
February 2006
Intermediate to advanced content levelIntermediate to advanced
600 pages
8h 57m
English
Elsevier Science
Content preview from Visualizing Quaternions

Chapter 08. Visualizing Spheres

In this chapter we begin the task of exploring the techniques that can help us visualize quaternions and their properties. Because a quaternion is nothing more than a point on a generalized sphere, the first thing to do is to look at the properties of spheres, starting with simple ones, and work our way up to hyperspheres and quaternions. Additional material extending the treatment in this chapter is presented in Chapter 17 and in Appendix I.

To clearly understand our options for making graphical visualizations of quaternions, we need to begin by examining ways in which points on spheres can be viewed in reduced dimensions. Although the full import will not be apparent until later chapters, we will discover in this ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Advanced Mathematics

Advanced Mathematics

Stanley J. Farlow
Geometry for Programmers

Geometry for Programmers

Oleksandr Kaleniuk
Geometric Algebra for Computer Science

Geometric Algebra for Computer Science

Leo Dorst, Daniel Fontijne, Stephen Mann

Publisher Resources

ISBN: 9780120884001