View in EDS HTML Full Text PDF Full Text

Volume Computation for Meissner Polyhedra and Applications.

Saved in:
Bibliographic Details
Title: Volume Computation for Meissner Polyhedra and Applications.
Authors: Bogosel, Beniamin1 (AUTHOR) beniamin.bogosel@polytechnique.edu
Source: Discrete & Computational Geometry. Jan2026, Vol. 75 Issue 1, p48-72. 25p.
Subjects: Volume (Cubic content), Polyhedra, Geometric shapes, Volume measurements
Abstract: The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with minimal volume as a series of explicit finite dimensional problems. A direct consequence is the minimality of the volume of Meissner tetrahedras among Meissner pyramids. [ABSTRACT FROM AUTHOR]
Copyright of Discrete & Computational Geometry is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 190549182
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Volume Computation for Meissner Polyhedra and Applications.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bogosel%2C+Beniamin%22">Bogosel, Beniamin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> beniamin.bogosel@polytechnique.edu</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Discrete+%26+Computational+Geometry%22">Discrete & Computational Geometry</searchLink>. Jan2026, Vol. 75 Issue 1, p48-72. 25p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Volume+%28Cubic+content%29%22">Volume (Cubic content)</searchLink><br /><searchLink fieldCode="DE" term="%22Polyhedra%22">Polyhedra</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+shapes%22">Geometric shapes</searchLink><br /><searchLink fieldCode="DE" term="%22Volume+measurements%22">Volume measurements</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with minimal volume as a series of explicit finite dimensional problems. A direct consequence is the minimality of the volume of Meissner tetrahedras among Meissner pyramids. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Discrete & Computational Geometry is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190549182
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s00454-024-00688-0
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 25
        StartPage: 48
    Subjects:
      – SubjectFull: Volume (Cubic content)
        Type: general
      – SubjectFull: Polyhedra
        Type: general
      – SubjectFull: Geometric shapes
        Type: general
      – SubjectFull: Volume measurements
        Type: general
    Titles:
      – TitleFull: Volume Computation for Meissner Polyhedra and Applications.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bogosel, Beniamin
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 01795376
          Numbering:
            – Type: volume
              Value: 75
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: Discrete & Computational Geometry
              Type: main
ResultId 1