2D and 3D Animation Using Rotations of a Jordan Curve

Year: 2007 Authors: Peter Hamburger; Edit Hepp; Richard Wartell

Core claim

A single rotated Jordan curve can generate a symmetric n-Venn diagram with all 2^n binary region codes, and the process can be visualized as planar and spherical animation.

Topics

symmetric Venn diagrams, Jordan curves, stereographic projection, 2D and 3D animation, binary region codes

Domains

combinatorics, topology, Boolean lattice, set theory, mathematical visualization, animation, spherical imagery, digital art

Methods

rotational construction, binary labeling, stereographic projection, 3D camera animation, UVW texture mapping

Media

planar curve diagrams, sphere projections, animation video, textured spheres

Source status

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