On the Pattern of Primes by Jason Davies.
From the webpage:
For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one.
Below the currently highlighted number, we also show its sum of divisors σ(n), and its aliquot sum s(n) = σ(n) – n, which indicate whether the number is prime, deficient, perfect or abundant.
A very compelling pattern visualization.
What other number or semantic patterns would you visualize?
I first saw this at Information Aesthetics.