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arxiv: 2605.28470 · v1 · pith:LOP7ZTJWnew · submitted 2026-05-27 · 🧮 math.CV

Line, Spiral, Dense in Space

classification 🧮 math.CV
keywords denseiteratelineplanesecondalmostanalogouscomplex
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Dobbs proved that the second iterate of almost every line in the complex plane under the exponential function is dense in the plane. In this paper, we prove an analogous result for the second iterate of the Zorich map in $\mathbb{R}^3$.

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