Hyperbolization on a Squircular Continuum

Year: 2019 Authors: Chamberlain Fong; Douglas Dunham

Core claim

A complex squircle with an elliptic-integral parametrization enables invertible disk-to-square hyperbolic mappings for artistic animation.

Topics

hyperbolic art, squircle geometry, disk-to-square mapping, morphing animation

Domains

hyperbolic geometry, analytic geometry, complex variables, elliptic integrals, generative art, Escher homage, geometric illustration, animation

Methods

parametric equations, algorithmic mapping, shape interpolation, morphing pipeline

Media

Poincaré disk, square, woodcut-inspired patterns, morphing videos

Source status

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