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On Malfatti's marble problem

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Publication:338645
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DOI10.1007/s40598-016-0047-5zbMath1353.52014OpenAlexW2465015534MaRDI QIDQ338645

Uuganbaatar Ninjbat

Publication date: 7 November 2016

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-016-0047-5


zbMATH Keywords

greedy algorithmcircle packingMalfatti's problemChebyshev center


Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15)


Related Items (1)

Proving the solution of Malfatti's marble problem



Cites Work

  • The problem of Malfatti: Two centuries of debate
  • New approaches to circle packing in a square. With program codes.
  • Weak \(k\)-majorization and polyhedra
  • Optimal Inscribing of Two Balls into Polyhedral Set
  • On the Original Malfatti Problem
  • Inequalities: theory of majorization and its applications
  • Convex functions and their applications. A contemporary approach
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