Here are two extensive writeups on Michael's explorations of prime numbers.  Prime numbers are whole numbers which are not evenly divisible by any other whole numbers except 1, for example 2, 3, 5 and 7.

The first writeup, Lines of Primes!, covers his early research on patterns within prime numbers.  Primes are notorious as defying pattern.

The second writeup, Planes of Pairs, describes the work that followed from the earlier investigation.  Here, he studied the transition from orderly patterns, through partial order, to apparent random and chaotic disorder.  This journey unexpectedly led Michael to illuminate and illustrate a vast edifice of previously hidden structure organizing the complements to prime numbers, the composite numbers.

The study of the onset of chaos is related to fractals, which form the basis of an artform which Michael has taken in his own new directions.  Many examples of this imagery are presented on this website, under Image Galleries.

If you are so inclined, we hope you become immersed in these fascinating and beautiful depths of numerical nature, just as Michael did.