Astonishing Patterns of Prime Numbers in Polar Coordinates
2024-12-16
This article explores the phenomenon of prime numbers plotted on polar coordinates exhibiting spiral or linear patterns. The author uses Python code, employing SymPy to generate prime numbers and Matplotlib for visualization. Results show that as the number of primes increases, the pattern transitions from spirals to straight lines. This isn't unique to primes; it's related to rational approximations of $2pi$. The article explains the underlying mathematics and explores the connection between prime distribution and pattern sparsity.
Misc
polar coordinates