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arXiv · 2503.04077

Periodic Inscription of Isosceles Trapezoids

Ali Naseri Sadr
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Abstract

We prove that a pair of continuous disjoint periodic curves in $\mathbb{C}$ inscribes an isosceles trapezoid with any similarity type. The case of smooth curves can be identified with a Lagrangian intersection problem for a pair of Lagrangian cylinders in $\mathbb{R}\times S^1\times\mathbb{C}$, and the continuous case follows from the smooth one by a standard convergence argument.

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Ali Naseri Sadr. 2025-03-06. Periodic Inscription of Isosceles Trapezoids. https://arxiv.org/abs/2503.04077

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