Tori Story

Year: 2011 Authors: Carlo H. Séquin

Core claim

A torus in R^3 has four regular homotopy classes, and the paper gives explicit, visually accessible ways to model and transform between representative immersions within this classification.

Topics

torus immersions, regular homotopy, torus eversion, parameterized surfaces

Domains

topology, differential geometry, surface immersions, homotopy classification, mathematical visualization, 3D surface modeling, aesthetic geometry, Bridges art exhibit

Methods

continuous smooth transformations, fundamental-domain folding, surface parameterization, visual representative construction

Media

3D torus models, texture-mapped surface diagrams, figures and transformations, computer graphics

Source status

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