Re: [math-fun] complex #'s explore circle group; quaternions explore SU(2) ?

Perhaps "space-filling curve" might be better than "random walk" ? At 03:51 PM 3/15/2018, Henry Baker wrote:

We know that the circle group is enumerated uniformly by

cos(t)+i*sin(t), for i in [0,2*pi)

using a single (real) parameter t.

Is there a way of uniformly enumerating the unit quaternions * with 1 parameter (probably some sort of random walk) ? * with 2 parameters (probably some sort of random walk) ? * with 1 complex parameter ????? * with 3 parameters ???