John D. Cook, Greg Egan, Dan Piponi and I had a fun mathematical adventure on Twitter. It started when John Cook wrote a program to compute the probability distribution of distances $latex |xy - yx|$ where $latex x$ and $latex y$ were two randomly chosen unit quaternions: • John D. Cook, How far is xy…
While simple approximations to the bbox are trivial (such as computing the bounding box of their control points), in this article we deduce the exact bounding box analytically.