The Conformal Hyperbolic Square and Its Ilk

Year: 2016 Authors: Chamberlain Fong

Core claim

The Schwarz-Christoffel mapping yields the best square model for hyperbolic art because it is conformal, preserving angles while converting the Poincaré disk to a square.

Topics

disk-to-square mappings, hyperbolic art, Poincaré disk, aesthetic visualization

Domains

hyperbolic geometry, conformal mapping, Schwarz-Christoffel mapping, elliptic functions, generative art, visualization, printmaking, digital image warping

Methods

analytic mappings, inverse mapping equations, pixel-level image processing, C++ implementation

Media

Poincaré disk, square regions, bitmap images, computer graphics

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.