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Noise Sphere

A mapping of Random Number Triples to points in Spherical Coordinates,

$\displaystyle \theta$ $\textstyle =$ $\displaystyle 2\pi X_n$  
$\displaystyle \phi$ $\textstyle =$ $\displaystyle \pi X_{n+1}$  
$\displaystyle r$ $\textstyle =$ $\displaystyle \sqrt{X_{n+2}}.$  

The graphical result can yield unexpected structure which indicates correlations between triples and therefore that the numbers are not truly Random.


Pickover, C. A. Computers and the Imagination. New York: St. Martin's Press, 1991.

Pickover, C. A. ``Computers, Randomness, Mind, and Infinity.'' Ch. 31 in Keys to Infinity. New York: W. H. Freeman, pp. 233-247, 1995.

Richards, T. ``Graphical Representation of Pseudorandom Sequences.'' Computers and Graphics 13, 261-262, 1989.

© 1996-9 Eric W. Weisstein