Bipolar Structure of the Lemniscate: Dual Images and Möbius Twist

Abstract

The Bernoulli lemniscate provides a minimal geometric model of an antisymmetric generative kernel. Its dual‑image structure and intersection‑induced normal flip yield a Möbius twist, illustrating how local two‑image behavior becomes globally unified through topological identification. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.