Elliptic Curves and the Hopf Fibration

Year: 2025 Authors: Nadir Hajouji; Steve Trettel

Core claim

Elliptic curves can be rendered as expressive 3D objects across real, complex, and finite fields while faithfully reflecting their underlying mathematics.

Topics

elliptic curve visualization, Hopf fibration, finite fields, lattice models

Domains

complex analysis, algebraic geometry, number theory, topology, scientific visualization, mathematical art, data-driven imagery

Methods

3D rendering, Weierstrass functions, field comparison, lattice quotient

Media

digital 3D images, gallery figures, finite-field plots

Source status

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