Creating Art by Constructing Poncelet Grids and Elliptic Billiards

Year: 2025 Authors: Steve Pomerantz

Core claim

Poncelet-grid constructions from elliptic and hyperbolic billiard caustics provide a systematic way to generate ornamental art.

Topics

mathematical billiards, Poncelet Porism, ornamental grid design, confocal ellipses, caustics

Domains

geometry, conic sections, dynamical systems, billiards, projective geometry, generative art, ornamental pattern design, tessellation

Methods

numerical search for closed paths, Poncelet grid construction, orthogonal line additions, parameter variation, software-based rendering

Media

ellipse and polygon diagrams, Geogebra®, MATLAB®, line-segment artwork

Source status

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