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Re: Random spherical troubles

  • To: mathgroup at
  • Subject: [mg25312] Re: [mg25170] Random spherical troubles
  • From: Yossi Lonke <jrl16 at>
  • Date: Tue, 19 Sep 2000 03:45:41 -0400 (EDT)
  • Organization: Dept. Mathematics, CWRU
  • References: <8pmmhc$> <8psh4a$>
  • Sender: owner-wri-mathgroup at


Take a look at

where you'll find the answer to your question.

Yossi Lonke

Geoffrey Steeves wrote:

> I just happened upon this post, but I think I have a similar question.
> In studying whether a sequence of numbers is random, one can construct
> what is called a Noise
> Sphere(  When I tried this
> out, I got a non-uniform distibution of points concentrated along
> the verticle axis (phi ~= 0) of the sphere.  Initially I thought that this
> was an artifact of my pseudo-random number generator, but I later tried
> this out with "real" random numbers and got the same distribution.
> Looking at the mapping(as it is shown on the web page):
> theta = 2 * Pi * Random[]
> phi = Pi * Random[]
> r = Sqrt[Random[]]
> I thought that the problem was with the distribution in phi.  Is this a
> mistake in the map?  Or am I misunderstanding the what a Noise spehere is
> supposed to be?  Thanks for the help!
> --
> _______________________________________________________________________________
>              Geoff Steeves // University of Alberta Physics //
> -------------------------------------------------------------------------------

Dr. Yossi Lonke
Mathematics Department
Case Western Reserve University
10900 Euclid Avenue
Cleveland, Ohio 44106
216 368-5423

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