hukou6335490的博客

1 00:00:00.300 --> 00:00:04.410 so in this section of the applet the 2 00:00:02.200 --> 00:00:06.623 entirety of three-dimensional space that 3 00:00:04.410 --> 00:00:08.806 you see and the various objects that you 4 00:00:06.623 --> 00:00:10.1

1 00:00:00.300 --> 00:00:04.491 so here we have a sphere and the sphere 2 00:00:02.269 --> 00:00:07.761 is getting stereographically projected 3 00:00:04.491 --> 00:00:09.977 onto a plane and what I mean by that is 4 00:00:07.761 --> 00:00:11.1

so just to give you a little more concrete challenge. I want you to find for me which quaternion corresponds to a 270 degree turn around the z axis. okay ,so 3/4 of a turn around the z axis, let's say in the counterclockwise direction as you face it fr.

quaternions are a 4-dimensional number system meaning each individual quaternion consists of four real number parts like what you see on the upper left here and one of the main use cases for quaternions is that they give us a really useful language for des