English

Divisor Drips and Square Root Waves

This book is a pattern-finding journey through a shimmering universe of large composite numbers. It starts with a simple graph of divisors and expands it into a vast visual sea of interlocking patterns. Why do mathematicians keep asking if there is any meaning or order to the sequence of prime numbers? The composite numbers have much more to offer. Think of the primes as the negative spaces behind overlapping composite patterns. The chaotic sequence of primes that passes through the Sieve of Eratosthenes is less interesting than the Sieve itself. Did you know that the numbers in the range of nine quintillion have a hidden pattern (nested parabolas, reflection rays, swirling proto-galaxies)? These images could not have been seen before the computer allowed us to peer into the dense fabric of numbers. This book will inspire math educators, visual thinkers, and pattern lovers.

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