Skip to content
Branch: master
Find file History
Fetching latest commit…
Cannot retrieve the latest commit at this time.
Permalink
Type Name Latest commit message Commit time
..
Failed to load latest commit information.
src
.gitignore
Makefile
README.org
add.png
rotate.png

README.org

Introduction

Fun visualizations with quaternions.

In this project, I plot a vector of quaternions on a two dimensional grid. The X axis reperesents the element in the quaternion vector. The Y axis represents the versor value of the real component of each quaternion. For the red, green, and blue values of each pixel, I used the values of the imaginary components of the versors. for instance, the unit quaternion would be gray (255/2 for each imaginary component). Negative values go to 0, positive values go to 255.

Examples

Adding complex components

In the picture below, I started with the quaternion -1 - 1k, and added 0.02i for every element in the size 400 quaternion vector.

Photo

./add.png

Rotating a quaternion

This one is more interesting - I am rotating the -1 + 0.5k quaternion by the 0.999550 + 0.029987i quaternion. Notice that the rotation quaternion is a versor (it has a norm of 1). Since it’s nearly entirely a real versor, it rotates slowly around both the real and complex components, which is why the below image is sinusoidal in the Y axis and in color space (it rotates through colours) !

Photo

./rotate.png

You can’t perform that action at this time.