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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.


References

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
1999-05-25