Beautiful Math, Part 4: Polygonal Aesthetic Patterns Based on the Schwarz-Christoffel Mapping

Schwarz-Christoffel mapping is an elegant theory that can preserve the structure of a pattern perfectly. One of the most important elements of conformal mapping theory, Schwarz-Christoffel mapping has important applications in many engineering fields, such as electromagnetism, aerodynamics, and thermal field theory. Building on their 2014 CG&A article titled "Beautiful Math, Part 3: Hyperbolic Aesthetic Patterns Based on Conformal Mappings," the authors apply the professional numerical methods of Schwarz-Christoffel mapping to achieve real polygon boundaries.