The random() function is, according to the Java docs, supposed to provide the same sequence of numbers regardless of platform. Thus, if one were to plot a set of lines using coordinates and colours generated via randomSeed() and random(), the results must be the same across all platforms and implementations.

See: http://download.oracle.com/javase/1.4.2/docs/api/java/util/Random.html

For those who are giddy about the Mersenne Twister, see: http://www-stat.stanford.edu/~naras/programs/#mt

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