{
  "abstract": "We show that for a positive proportion of integers n, it is impossible to partition an n × n square into distinct rectangles with equal area and integer side lengths. We also obtain an analogue of this result in dimension 3.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Noah Lebowitz-Lockard"
    },
    {
      "name": "Gérald Tenenbaum"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/etk70ryy6xxgv.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "etk70ryy6xxgv",
  "issns": [],
  "landing_url": "https://hal.science/hal-05729522v2",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-nt"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05729522/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/etk70ryy6xxgv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "hal-05729522",
      "source": "hal",
      "url": "https://hal.science/hal-05729522v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-nt",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On solutions to the Mondrian Puzzle",
  "title_text": "On solutions to the Mondrian Puzzle",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/etk70ryy6xxgv",
  "venue": "HAL",
  "versions": []
}