{
  "abstract": "We prove that four periodic curves in $\\mathbb{C}$ inscribe a family of isosceles trapezoids for every angle $θ\\in(0,π)$, whose similarity types are determined by the signed areas between the quotients of the curves in the infinite cylinder. In the smooth case, the problem is identified with a Lagrangian intersection problem in $\\mathbb{R}\\times S^1\\times\\mathbb{C}$, while the continuous case follows by a convergence argument.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24376",
  "author_total": 1,
  "authors": [
    {
      "name": "Ali Naseri Sadr"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5d1s3dfg19xje.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24376",
  "fulltext_url": null,
  "id": "5d1s3dfg19xje",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24376",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7223045202",
  "pdf_url": "https://arxiv.org/pdf/2610.24376",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5d1s3dfg19xje.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24376",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24376"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Four Periodic Inscription Problem",
  "title_text": "The Four Periodic Inscription Problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5d1s3dfg19xje",
  "venue": "arXiv",
  "versions": []
}