AI & Computingarticle2026-08-08

Bipolar Structure of the Lemniscate: Dual Images and Möbius Twist

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Abstract

The Bernoulli lemniscate exhibits a dual‑image structure generated by its two foci. A single normal‑field flip at the intersection produces a Möbius twist, converting locally distinct lobes into a globally unified image space through a nontrivial topological identification.

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-08

Authors: Shin Tamaki