JOURNAL ARTICLE

The Extreme Polygons for the Self Chebyshev Radius of the Boundary.

  • Published In: Studia Scientiarum Mathematicarum Hungarica, 2023, v. 60, n. 4. P. 193 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Nikitenko, Evgeniĭ Vitalievich; Nikonorov, Yuriĭ Gennadievich 3 of 3

Abstract

The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a general problem of minimization of the perimeter among all -gons with a fixed self Chebyshev radius of the boundary. The main result of the paper is the complete solution of the mentioned problem for = 4: We proved that the quadrilateral of minimum perimeter is a so called magic kite, that verified the corresponding conjecture by Rolf Walter. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Studia Scientiarum Mathematicarum Hungarica. 2023/12, Vol. 60, Issue 4, p193
  • Document Type:Article
  • Subject Area:Architecture
  • Publication Date:2023
  • ISSN:0081-6906
  • DOI:10.1556/012.2023.04297
  • Accession Number:177658358
  • Copyright Statement:Copyright of Studia Scientiarum Mathematicarum Hungarica is the property of Akademiai Kiado 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.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.