{
  "abstract": "Let $Q_n=[0,1]^n$, $n\\ge2$. Denote by $M_n$ be the maximal volume of a pyramid in $Q_n$ whose base is a hyperplane section of $Q_n$, and by $M_n^0$ the corresponding maximum when the section contains the center of $Q_n$. We prove that $nM_n<(n+1)M_{n+1}^0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14047",
  "author_total": 1,
  "authors": [
    {
      "name": "Nikolai Nikolov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/38brh0hgzxdws.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14047",
  "fulltext_url": null,
  "id": "38brh0hgzxdws",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14047",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.MG"
    ],
    [
      "openalex",
      "2604|Point processes and geometric inequalities"
    ]
  ],
  "openalex": "W7221836031",
  "pdf_url": "https://arxiv.org/pdf/2610.14047",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/38brh0hgzxdws.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.14047",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14047"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.MG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Maximal volumes of pyramids in the unit cube",
  "title_text": "Maximal volumes of pyramids in the unit cube",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/38brh0hgzxdws",
  "venue": "arXiv",
  "versions": []
}